The area of a triangle is calculated using the formula:

**Area = (1/2) × base × height**

Plugging in your values:
Area = (1/2) × 10 m × 5 m = **25 square meters**


To solve the quadratic equation $x^2 + 2x + 3 = 0$, we use the quadratic formula:

$$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$

Given the coefficients $a = 1$, $b = 2$, and $c = 3$:

1.  **Calculate the discriminant ($b^2 - 4ac$):**
    $$2^2 - 4(1)(3) = 4 - 12 = -8$$

2.  **Substitute the discriminant into the formula:**
    $$x = \frac{-2 \pm \sqrt{-8}}{2}$$

3.  **Simplify the square root of the negative number:**
    Since $\sqrt{-8} = \sqrt{4 \cdot -2} = 2i\sqrt{2}$, we have:
    $$x = \frac


To solve for the roots of the quadratic equation $3x^2 - 2x - 5 = 0$, we can use the quadratic formula:

$$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$

Here, the coefficients are:
*   $a = 3$
*   $b = -2$
*   $c = -5$

**Step 1: Calculate the discriminant ($b^2 - 4ac$)**
$$(-2)^2 - 4(3)(-5) = 4 + 60 = 64$$

**Step 2: Apply the quadratic formula**
$$x = \frac{-(-2) \pm \sqrt{64}}{2(3)}$$
$$x = \frac{2 \pm 8}{6}$$

**Step 3: Solve for the two roots**
*   **First root:**
    $$x = \frac{2 + 8}{6} = \f


The equation of the given line is $y = 3x + 2$. This is in the slope-intercept form ($y = mx + b$), where $m$ represents the slope. Therefore, the slope of this line is $3$.

The slope of a line perpendicular to another line is the negative reciprocal of the original slope. To find the negative reciprocal, you flip the fraction and change the sign.

The negative reciprocal of $3$ (or $\frac{3}{1}$) is $-\frac{1}{3}$.

Thus, the slope of the line perpendicular to $y = 3x + 2$ is **$-\frac{1}{3}$*


The root of the linear equation $bx + c = 0$ is:

$$x = -\frac{c}{b}$$

This solution assumes that $b \neq 0$. If $b = 0$ and $c \neq 0$, there is no solution. If both $b = 0$ and $c = 0$, the equation is satisfied for all real numbers.


The perimeter of a rectangle is calculated using the formula: $P = 2 \times (\text{length} + \text{width})$.

Given:
*   Length = 5 meters
*   Width = 4 meters

Calculation:
$$P = 2 \times (5 + 4)$$
$$P = 2 \times 9$$
$$P = 18$$

The perimeter is **18 meters**.


The area of a rectangle is calculated by multiplying its length by its width.

Area = length × width
Area = 7m × 5m = **35 square meters (m²)**


To find the area under the curve of $f(x) = 3x^2$ from $x = 1$ to $x = 5$, we calculate the definite integral:

$$ \int_{1}^{5} 3x^2 \, dx $$

1. **Find the antiderivative:**
   $$ \int 3x^2 \, dx = x^3 $$

2. **Evaluate the definite integral:**
   $$ \left[ x^3 \right]_{1}^{5} = 5^3 - 1^3 = 125 - 1 = 124 $$

The area under the curve is **124**.


To find the integral of $x^3$ from 1 to 5, we follow these steps:

1.  **Find the antiderivative:**
    The antiderivative of $x^3$ is $\frac{x^4}{4}$.

2.  **Apply the limits of integration:**
    We evaluate the antiderivative from 1 to 5:
    $$ \int_{1}^{5} x^3 \, dx = \left[ \frac{x^4}{4} \right]_{1}^{5} $$

3.  **Calculate the values:**
    $$ \frac{5^4}{4} - \frac{1^4}{4} $$
    $$ = \frac{625}{4} - \frac{1}{4} $$
    $$ = \frac{624}{4} $$

4.  **Simplify:**
    $$ \frac{624}{4} = 156 $$


To find the definite integral of $f(x) = x^2$ from $x=1$ to $x=3$, we apply the power rule for integration:

$$ \int_{1}^{3} x^2 \, dx = \left[ \frac{x^3}{3} \right]_{1}^{3} $$

Evaluate the antiderivative at the upper and lower limits:

$$ = \frac{3^3}{3} - \frac{1^3}{3} $$
$$ = \frac{27}{3} - \frac{1}{3} $$
$$ = \frac{26}{3} $$

The definite integral is **$\frac{26}{3}$** (or approximately **8.67**).


The derivative of the function $f(x) = 2x$ is $f'(x) = 2$. Evaluated at $x = 1$, the derivative is **2**.

*(Note: The provided tool computes definite integrals, not derivatives. However, the analytical derivative of $2x$ is constant and equals 2.)*


The closest integer to 30 is 30 itself. If you were looking for the closest prime number lesser than 30, that would be 29.


I don't have access to real-time route planning tools, but I can share the fastest common ways to travel between New York and Boston:

1. **Train (Amtrak)**: The Amtrak Northeast Corridor train is often the fastest and most convenient option. The trip takes about 4.5 hours, with stations in the city centers (e.g., Penn Station in NYC to South Station in Boston), avoiding airport security and traffic.

2. **Flight**: While the flight itself is only about 1.5 hours, total travel time (including ai


The prime factors of 100 are **2** and **5**.

Here is the step-by-step breakdown:
1.  100 ÷ 2 = 50
2.  50 ÷ 2 = 25
3.  25 ÷ 5 = 5
4.  5 ÷ 5 = 1

So, 100 can be expressed as $2 \times 2 \times 5$, or $2^2 \times 5^2$.


The acceleration of the ball is **-9.8 m/s²** (or 9.8 m/s² downwards).

This is because, ignoring air resistance, the only force acting on the ball after it is thrown is gravity. Gravity provides a constant downward acceleration regardless of the initial velocity or direction of motion.


I don't have access to real-time information about the latest movie releases. To find out what's currently in theaters or on streaming platforms, I recommend checking a movie database like IMDb, Rotten Tomatoes, or a streaming service like Netflix, Amazon Prime Video, or Disney+.


I don't have access to the current time. You can check the time on your device's clock or ask a voice assistant like Siri, Google Assistant, or Alexa.


The volume $V$ of a cone is calculated using the formula:
$$V = \frac{1}{3} \pi r^2 h$$

Given:
- Radius ($r$) = 3 cm
- Height ($h$) = 5 cm

Substitute the values into the formula:
$$V = \frac{1}{3} \pi (3)^2 (5)$$
$$V = \frac{1}{3} \pi (9) (5)$$
$$V = 3 \pi (5)$$
$$V = 15 \pi$$

Using $\pi \approx 3.14159$:
$$V \approx 47.12 \text{ cm}^3$$

**Answer:** The volume of the cone is **$15\pi$ cm³** (or approximately **47.12 cm³**).


The typical flight duration between Los Angeles (LAX) and Miami (MIA) is approximately **4 hours to 4 hours and 30 minutes**.

This can vary slightly depending on the specific flight path, wind conditions, and whether the flight is direct or has stops.


The magnetic field $B$ at a distance $r$ from a long straight wire carrying a current $I$ is given by the formula:

$$B = \frac{\mu_0 I}{2 \pi r}$$

Where:
*   $\mu_0$ is the permeability of free space, approximately $4\pi \times 10^{-7} \, \text{T}\cdot\text{m/A}$
*   $I$ is the current (2 A)
*   $r$ is the distance from the wire (4 m)

Plugging in the values:

$$B = \frac{(4\pi \times 10^{-7}) \times 2}{2 \pi \times 4}$$
$$B = \frac{8\pi \times 10^{-7}}{8\pi}$$
$$B = 10^{-7} \, \text{T}$$

So,


The mass of an electron is approximately **9.109 × 10⁻³¹ kilograms** (kg).

In atomic mass units (amu), it's about **0.0005486 u**, making it roughly 1/1836 the mass of a proton.


The mass of an electron is approximately **$9.109 \times 10^{-31}$ kilograms**.

In atomic mass units (amu), it is approximately **$0.000548$ amu**.


The freezing point of water at a pressure of 10 kPa is approximately **0°C**.

Unlike the boiling point, the freezing point of water is not significantly affected by pressure changes in this range. While decreasing pressure from standard atmospheric pressure (101.3 kPa) to 10 kPa would theoretically raise the freezing point by a fraction of a degree, the change is negligible, and water remains solid at 0°C under these conditions.


A hexagon has 6 sides.


The number of mitochondria in a cell varies significantly depending on the cell type and its energy requirements. Here are some examples:

*   **Red blood cells:** 0 (they lack mitochondria)
*   **Liver cells:** Approximately 1,000–2,000
*   **Muscle cells:** Can contain thousands of mitochondria
*   **Other cells:** Typically range from a few to several hundred

In general, cells with high energy demands, such as muscle cells and neurons, tend to have more mitochondria.


I don't have access to information about your personal preferences or real-time data to determine a favorite restaurant in London. However, I can recommend some popular restaurants in London if you'd like!


The blood cells responsible for clotting are **platelets** (also known as thrombocytes).

Although technically cell fragments rather than complete cells, they play the essential role of initiating clot formation by aggregating at the site of injury and releasing chemical signals to promote coagulation.


The most prominent and commonly cited dominant genetic trait in lions is their **golden or tawny coat color**. This wild-type coloration is dominant over other variations, such as the rare white coat (which is typically recessive or the result of a specific mutation like leucism) or spotted patterns seen in cubs that fade as they age.

However, it's important to note that genetics in lions is complex and involves multiple genes. Other traits, such as the presence of a mane in males (which is hor


The frequency of the minor allele for rs7412 in the European population is approximately **0.25 (or 25%)**. This single nucleotide polymorphism (SNP) is located in the *SLC24A2* gene and is associated with variations in skin pigmentation.


Here are some popular picnic spots in Miami:

1.  **Bayfront Park**: Located in downtown Miami, this park offers great views of the bay and the city skyline. It has plenty of picnic tables and is easily accessible.
2.  **Virginia Key Beach Park**: This beach park features picnic tables, BBQ pits, and beautiful beaches. It's a great spot for a relaxing picnic with a view of the ocean.
3.  **Crandon Park**: A large park with beaches, picnic areas, and nature trails. It's a bit further from the cit


Increasing the deer population in a forest sustainably requires a balanced, science-based approach that focuses on habitat quality, mortality control, and long-term monitoring. Here are the most effective strategies:

### 🌿 1. Improve Habitat Quality
- **Diverse Vegetation**: Plant native shrubs, grasses, and browse species that deer prefer. Maintain a mix of young and mature trees to provide both food and cover.
- **Water Access**: Ensure clean, year-round water sources are available. Deer ofte


I don't have access to real-time air quality data or tools to check current conditions. For the most accurate and up-to-date air quality information in Los Angeles, I recommend checking official sources like the EPA's AirNow website (airnow.gov) or local monitoring services like the South Coast Air Quality Management District (airnow.org).

Let me know if there's anything else I can help you with!


Lions and zebras share a common ancestor that lived roughly **60 to 80 million years ago**, during the early Cenozoic era (Paleocene or early Eocene). This ancestor would have been a small, likely insectivorous or omnivorous placental mammal.

However, there is **no specific named species** for this ancestor. By the time the lineages that became modern cats (order Carnivora, family Felidae) and modern horses/zebras (order Perissodactyla, family Equidae) diverged, that ancestral lineage had alrea


Applying an Evolutionary Algorithm (EA) in game AI is a powerful way to create behaviors that are emergent, adaptive, and often surprisingly complex. Instead of hard-coding rules (e.g., "If enemy is close, shoot"), you let the AI "learn" the best strategy through trial and error.

Here is a breakdown of how to apply this concept, the core components you need, and a step-by-step guide to implementation.

### The Core Concepts
To apply an EA, you need to map biological terms to game terms:

1.  **


I can help you generate a gene sequence for evolutionary changes in whales! To run the simulation, I need two specific details from you:

- **Mutation rate**: A number between 0 and 1 representing how frequently mutations occur.
- **Evolution duration**: The number of years over which evolution occurs.

Once you provide these values, I'll generate the sequence for you. (You can also specify additional mutation factors like `genetic_drift`, `natural_selection`, `non-random_mating`, `gene_flow`, o


The sine of 45 degrees is $\frac{\sqrt{2}}{2}$, which is approximately 0.7071.


I don't have access to real-time car pricing data, and the Tesla Model S is not currently officially sold in India. Tesla's lineup in India typically includes the Model 3 and Model Y, with prices varying based on configuration and government policies. For the most accurate and up-to-date pricing, I recommend checking the official Tesla India website or contacting local dealerships.


Here are the common ingredients for making a classic lasagna:

**For the Pasta:**
*   **Lasagna noodles** (no-boil or regular)
*   **Ricotta cheese** (often mixed with an egg and herbs)
*   **Parmesan cheese** (grated)
*   **Mozzarella cheese** (shredded)

**For the Meat Sauce:**
*   **Ground beef** (or a mix of beef and Italian sausage)
*   **Onion** (finely chopped)
*   **Garlic** (minced)
*   **Crushed tomatoes** or tomato paste
*   **Tomato sauce** or marinara sauce
*   **Tomato paste**
*


The time difference between Los Angeles and Berlin varies depending on the time of year due to daylight saving time (DST) adjustments in both regions.

*   **Standard Time:** Berlin is typically **9 hours ahead** of Los Angeles.
*   **Daylight Saving Time:** The difference can range between **8 and 10 hours** depending on the specific dates, as the two regions start and end their DST periods on different dates.

Generally, Berlin is ahead of Los Angeles.


Here’s a curated selection of horror movies perfect for a Friday night, organized by vibe so you can pick based on your mood:

**🎃 Classic & Iconic**
- *Halloween* (1978) – The quintessential slasher that defined the genre. Tight pacing, iconic score, and Michael Myers’ relentless presence make it a thrilling Friday night pick.
- *The Exorcist* (1973) – The gold standard of supernatural horror. Intense, deeply unsettling, and still holds up as a masterclass in tension and storytelling.

**👻 Mode


The 20th Fibonacci number is **6,765**.

Here is the sequence leading up to it:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, **6765**.


Here is the translation from English to French:

**Formal:** "Bonjour, comment allez-vous ?"
**Informal:** "Salut, comment ça va ?"


The Boston Red Sox won the World Series in 2018. They defeated the Los Angeles Dodgers 4-2 in the series.


The highest-grossing movie of all time is **Avatar** (2009). It surpassed *Avengers: Endgame* to take the top spot and remains there as of my current knowledge. Box office figures can change over time as new films are released, but *Avatar* holds the record for worldwide theatrical revenue.


I don't have access to real-time cryptocurrency prices. Bitcoin's value fluctuates constantly throughout the day. For the most current and accurate price, I recommend checking a reliable financial platform like:

- **CoinMarketCap** (coinmarketcap.com)
- **CoinGecko** (coingecko.com)
- **Coinbase** or **Binance** (if you use a crypto exchange)
- Major financial news sites like Bloomberg or Reuters

Would you like help with anything else, such as analyzing historical price trends or explaining ho


To calculate the number of solar panels needed for your 2000 sq ft home, I need to know the average number of sunlight hours your location receives. Could you please provide that information?


The power of 2 raised to 5 is 32.

$$2^5 = 32$$


"Hello" translates to **"Bonjour"** in French.

- **Bonjour** is the standard, polite way to say hello and is used in both formal and informal situations.
- If you're greeting friends casually, you might also hear **"Salut"** (which can mean both "hello" and "goodbye").


Building a frontend interface for an e-commerce website involves choosing the right technology stack, designing a user-friendly layout, and integrating seamlessly with your backend. Here is a comprehensive guide to help you get started:

### 1. Choose Your Tech Stack
Modern frontend development relies heavily on component-based frameworks.
*   **Frameworks:** React.js, Vue.js, Angular, or Svelte.
*   **CSS/Styling:** Tailwind CSS (highly recommended for rapid prototyping), Bootstrap, or Styled C


When tossing 3 coins, the possible number of heads you can get are **0, 1, 2, or 3**.

Here’s a breakdown of the possible outcomes:
- **0 heads**: TTT (1 way)
- **1 head**: HTT, THT, TTH (3 ways)
- **2 heads**: HHT, HTH, THH (3 ways)
- **3 heads**: HHH (1 way)

So, you can get anywhere from 0 to 3 heads. The maximum number of heads you can get is **3**.


In a standard deck of 52 cards, there are 12 face cards (Kings, Queens, and Jacks from each of the four suits).

The probability of drawing a face card is:
$$ \frac{12}{52} = \frac{3}{13} \approx 23.08\% $$


The probability of getting a head when flipping a fair coin is **0.5** (or 50%).


The expected mean (number of successes) under the null hypothesis is calculated as `n × p`:
500 trials × 0.1 probability = **50**

The observed proportion of successes in your experiment is `50 / 500 = 0.1`.


The standard deviation of the null hypothesis test (also known as the standard error of the mean) is calculated using the formula:

$$ \text{Standard Error} = \frac{\text{Sample Standard Deviation}}{\sqrt{\text{Sample Size}}} $$

Given:
*   Sample Standard Deviation ($s$) = 1.4
*   Sample Size ($n$) = 40

$$ \text{Standard Error} = \frac{1.4}{\sqrt{40}} $$

$$ \text{Standard Error} = \frac{1.4}{6.324555} $$

$$ \text{Standard Error} \approx 0.2214 $$

The standard deviation of the null hypothesi


The average house price in California varies depending on the specific region, but as of recent years, the median home price in California has generally hovered around **$500,000 to $600,000**.

For example:
*   **Los Angeles County:** Often exceeds $600,000.
*   **San Francisco Bay Area:** Frequently surpasses $1,000,000.
*   **Inland Empire (e.g., Riverside, San Bernardino):** Can be more affordable, often ranging between $350,000 and $450,000.

Please note that real estate markets are dynamic


There are approximately **0.45359237 kilograms** in one pound.

Conversely, there are about 2.20462 pounds in one kilogram.


You can get the latest sports news through several reliable methods:

- **Dedicated Sports Websites & Apps:** Visit platforms like ESPN, BBC Sport, CBS Sports, The Athletic, or Sportspage for real-time headlines, scores, and analysis. Their mobile apps push notifications for breaking news.
- **News Aggregators:** Use Google News, Flipboard, or Apple News and set your preferences to "Sports" to see curated, region-specific headlines.
- **Social Media:** Follow official league accounts (NBA, NFL,


Here’s a curated list of horror movies across different styles and eras to help you pick what fits your mood:

**🎬 Classics & Essentials**
- *The Shining* (1980) – Psychological dread and iconic performances
- *Psycho* (1960) – Hitchcock’s masterful thriller
- *The Exorcist* (1973) – The definitive supernatural horror film
- *Nightmare on Elm Street* (1980) – The slasher that defined a genre

**🔪 Modern Horror**
- *Get Out* (2017) – Sharp, socially aware thriller with horror elements
- *Heredita


I don't have access to real-time financial data, so I can't provide the current gold price. For the most accurate and up-to-date gold price in the USA, I recommend checking a financial website like Bloomberg, Reuters, Kitco, or a search engine with the query "gold price USD today".

If you need help with bond pricing or any other financial calculations I can assist with, just let me know!


The "best" player in soccer is highly subjective and depends on the criteria you're looking at: goals, assists, overall influence, recent form, or major awards. In recent years, players like **Lionel Messi**, **Kylian Mbappé**, **Erling Haaland**, **Vinícius Júnior**, **Jude Bellingham**, and **Mohamed Salah** have consistently topped global rankings and award conversations.

Since I don't have access to live match data, real-time rankings, or today's specific fixtures, I can't give you a defini


Spain won the 2010 FIFA World Cup. They defeated Italy 1-0 in the final.


Here are some classic and popular horror movies you can watch:

1. **The Exorcist (1973)** - A classic tale of demonic possession.
2. **Psycho (1960)** - Alfred Hitchcock's iconic thriller about a motel and a dark secret.
3. **The Shining (1980)** - Stanley Kubrick's adaptation of Stephen King's novel about a haunted hotel.
4. **Halloween (1978)** - John Carpenter's slasher classic featuring Michael Myers.
5. **A Nightmare on Elm Street (1981)** - Freddy Krueger terrorizes teenagers in their dre


I cannot retrieve real-time stock news. However, I can help you calculate capital gains or losses if you have specific stock transactions in mind.


I don't have access to real-time financial data, so I can't provide the current interest rate. Interest rates fluctuate based on economic conditions and vary by type (e.g., mortgage, savings, credit cards) and lender.

For the most accurate and up-to-date interest rates, I recommend checking:
*   **Financial institutions:** Banks, credit unions, or mortgage lenders.
*   **Financial websites:** Sources like Bankrate, NerdWallet, or the Federal Reserve.
*   **Local lenders:** Contacting banks or m


I don't have access to real-time sports data or the ability to retrieve specific basketball game results. You might want to check a sports news website or app for the latest scores.


Joe Biden won the 2020 United States presidential election, defeating the incumbent president, Donald Trump. He was inaugurated as the 46th U.S. President on January 20, 2021.


The Governor of California is Gavin Newsom.


**Disclaimer:** I am an AI, not a lawyer. This information is for general educational purposes only and does not constitute legal advice. Texas tenant rights are governed by the Texas Property Code, federal law, and your specific lease agreement. For advice tailored to your situation, consult a licensed Texas attorney or a local legal aid organization.

### Key Tenant Rights in Texas

#### 1. Security Deposits
- **Amount:** Texas law does not cap security deposit amounts.
- **Return:** Under Tex


Civil law is the body of law that deals with non-criminal legal disputes between individuals or organizations. It is distinct from criminal law, which deals with offenses against the state.

The main components of civil law generally include:

1.  **Contracts:** This involves the enforcement of agreements between parties. If one party fails to uphold their end of a deal (breach of contract), the other party can sue for damages or specific performance.
2.  **Torts:** A tort is a civil wrong commi


In the United States, the term "local council" typically refers to the legislative body (in your case, the **Atlanta City Council**), which doesn't handle individual complaints. Instead, noise complaints are managed by city departments and law enforcement. Here's how you can report a noise complaint in Atlanta:

📞 **For ongoing or loud noise disturbances:**
- Call the **Atlanta Police Department (APD)** at `404-915-6000` (non-emergency line) or `911` if the situation is an emergency or involves


I'm sorry, but I don't have information about the judgement in case XYZ. The available tool allows retrieving impactful cases handled by a specific law firm in a given year, but it does not provide specific case judgements.


It typically takes about **18 to 24 months** to paint the Eiffel Tower. The tower is repainted every seven years, and the process is done entirely by hand using scaffolding. Around 50 workers apply multiple coats of paint, carefully working around the structure's intricate ironwork. The exact duration can vary depending on weather conditions, the scope of the project, and whether it's a routine maintenance repaint or a full overhaul.


New York City has an incredible number of Chinese restaurants. Here are a few highly recommended options depending on what you're looking for:

*   **Joe's Shanghai** (Flushing, Queens) – Famous for their soup dumplings (xiaolongbao).
*   **Ming Hing Restaurant** (Manhattan) – A classic spot for authentic Cantonese dim sum and roast meats.
*   **Hwa Neng Restaurant** (Manhattan) – Known for excellent Cantonese cuisine and dim sum.
*   **Shanghai Lounge** (Manhattan) – Great for spicy Sichuan dis


It typically takes about **18 months to 2 years** to paint the entire Eiffel Tower.

Here are a few interesting details about the process:
- **Team size:** Around 50 painters work on the tower simultaneously.
- **Frequency:** The tower is repainted every 7 years to protect it from rust and corrosion.
- **Paint used:** They apply roughly 66 tons of paint each time.
- **Color:** The iconic shade is actually a specially mixed gradient called "Eiffel Tower Pink" (or *Rose Tour Eiffel*), which is da


An apple typically contains about 95 calories, though the exact amount can vary depending on the size and variety of the apple.


I don't have access to real-time information, so I can't tell you the current time in New York City. You can check a clock, a time zone converter, or search online for the current time in New York City.


I don't have access to real-time information, including the current time. You can check a clock, watch, or search online for the current time in New York City.


To calculate the volume of a sphere, we use the formula:

$$V = \frac{4}{3} \pi r^3$$

Given a radius ($r$) of 3 units:

$$V = \frac{4}{3} \pi (3)^3$$
$$V = \frac{4}{3} \pi (27)$$
$$V = 36 \pi$$

So, the volume of the sphere is **$36\pi$ cubic units** (approximately **113.1 cubic units**).


Here are five common flower species in South America that are highly effective for pollination:

1. **Hibiscus (Hibiscus spp.)** – Widely distributed across South America, hibiscus flowers are rich in nectar and attract a variety of pollinators, including bees, butterflies, and hummingbirds.
2. **Bromeliads (Bromeliaceae family)** – Native to the region, bromeliads are a staple in tropical ecosystems. Their tubular flowers are specifically adapted to attract hummingbirds and other specialized po


Tomatoes are heavy feeders and generally benefit from a balanced fertilizer that provides adequate nutrients throughout their growth cycle. Here are some recommendations:

1.  **Balanced Fertilizer:** Look for a fertilizer with a balanced NPK ratio (Nitrogen, Phosphorus, Potassium), such as 5-10-5 or 10-10-10. This ensures they get the essential macronutrients they need.
2.  **Phosphorus Focus:** Phosphorus is crucial for root development and flowering. A fertilizer with a higher middle number (


I cannot analyze the composition of species in your backyard garden. I can, however, analyze the composition of soil (sand, silt, and clay) if you provide a soil sample from your garden in Boston.


The "best" way to reduce CO₂ emissions depends on your specific context, scale, and resources, but the most impactful strategies generally fall into a few categories:

🔹 **Energy Transition**: Shifting from fossil fuels to renewable energy sources (solar, wind, geothermal) is consistently ranked as the highest-impact action.
🔹 **Energy Efficiency**: Upgrading buildings, industrial processes, and appliances to use less energy dramatically cuts emissions without changing the energy source.
🔹 **Tra


The average temperature in Los Angeles in December is typically around **60°F (15.5°C)**. Daytime highs usually reach about **68°F (20°C)**, while nighttime lows drop to around **52°F (11°C)**.


Could you please provide your city or location? Additionally, please note that this tool is specifically designed to locate eco-friendly products, so I may not be able to find GMO-specific items.


Here are some of the major airports in the United States, ranked by passenger traffic and hub status:

1. **Hartsfield–Jackson Atlanta International Airport (ATL)** – Atlanta, GA
   *The busiest airport in the world by passenger traffic and a major hub for Delta Air Lines.*

2. **Los Angeles International Airport (LAX)** – Los Angeles, CA
   *One of the busiest airports on the West Coast and a primary gateway for international travel to/from California.*

3. **O'Hare International Airport (O


Regular physical activity and sports have well-documented, profound effects on the brain. Here’s a breakdown of the key neurological impacts:

### 🔬 Structural & Cellular Changes
- **Neurogenesis & Brain-Derived Neurotrophic Factor (BDNF):** Exercise stimulates BDNF production, a protein that supports neuron growth, survival, and synaptic plasticity, particularly in the hippocampus (critical for memory and learning).
- **Gray & White Matter:** Consistent sports participation is linked to increas


The average weight of a human brain is approximately 1.4 kilograms (3.1 pounds).


A standard McDonald's Big Mac contains approximately **550 calories**.

Here is a breakdown of the nutritional information for a standard Big Mac:
*   **Calories:** 550
*   **Total Fat:** 28g
*   **Carbohydrates:** 46g
*   **Protein:** 26g
*   **Sodium:** 730mg

*Note: Nutritional values can vary slightly depending on the specific ingredients used and preparation methods.*


J.K. Rowling is best known for her **Harry Potter** series, which includes:

1. *Harry Potter and the Philosopher's Stone* (also published as *Harry Potter and the Sorcerer's Stone* in the US)
2. *Harry Potter and the Chamber of Secrets*
3. *Harry Potter and the Prisoner of Azkaban*
4. *Harry Potter and the Goblet of Fire*
5. *Harry Potter and the Order of the Phoenix*
6. *Harry Potter and the Half-Blood Prince*
7. *Harry Potter and the Deathly Hallows*

She has also written other books, includi


To give you specific data using the available tool, I'll need to know which **country** and **year** you're interested in. The happiness index can be broken down by economic status (low, middle, or high income) once those details are provided.

In the meantime, here's a general overview of how economic status typically relates to happiness levels based on global research:

- **Positive Correlation**: Higher income generally correlates with higher reported happiness, especially when moving from p


Generally, health guidelines recommend consuming about **5 servings** of vegetables per day. This is typically equivalent to **2.5 to 3 cups** of vegetables.

However, specific needs can vary based on your age, gender, and activity level. For example:
*   **Children** (ages 9-13) generally need about 2.5 cups per week.
*   **Adults** usually need about 3 cups per week.
*   **Active individuals** or those with higher caloric needs may require more.

It is best to focus on variety, including dark


To determine your friend's MBTI type, I need some information about their personality traits. Could you please describe how your friend behaves in different situations? For example:

*   **Energy:** Do they get energy from being around people (Extraversion) or do they need time alone to recharge (Introversion)?
*   **Information:** Do they focus on facts and details (Sensing) or do they focus on patterns and possibilities (Intuition)?
*   **Decision Making:** Do they make decisions based on logi


In computer vision, the color purple doesn't carry any symbolic, psychological, or semantic meaning. Instead, it's treated purely as numerical data. Computer vision systems represent colors mathematically using color spaces like:

- **RGB**: Purple is typically encoded as a mix of red and blue channels (e.g., `[128, 0, 128]` in 8-bit notation or `[0.5, 0, 0.5]` normalized).
- **HSV/HSL**: Used when hue, saturation, and value/lightness are more relevant for segmentation or color filtering.
- **LA


The Battle of Waterloo, fought on June 18, 1815, resulted in approximately 100,000 casualties in total.

*   **French casualties:** Roughly 51,000 (killed, wounded, and captured).
*   **Allied casualties:** Roughly 50,000 (killed and wounded).

The battle marked the final defeat of Napoleon Bonaparte and the end of the Napoleonic Wars.


The Denver Nuggets won the NBA Finals in 2023.


Argentina won the 2022 FIFA World Cup. They defeated France in the final, which ended with a 4-2 victory after extra time and a penalty shootout.


The Declaration of Independence was signed on **August 2, 1776**.

While the document bears the date July 4, 1776 (the date the Continental Congress voted to approve the final text), the actual signing of the engrossed copy by the delegates took place on August 2.


As of 2026, the Vice President of the United States is **Kamala Harris**.

*(Note: This assumes the administration remained in place following the 2024 presidential election. If the presidency changed, the Vice President would be the running mate of the current President.)*


The Declaration of Independence was signed on **August 2, 1776**.

While the document was adopted by the Continental Congress on July 4, 1776 (which is why we celebrate Independence Day on July 4th), the actual signing of the engrossed copy by the delegates took place on August 2nd.


Electricity wasn't "discovered" by a single person—it's a natural phenomenon that has always existed. Ancient Greeks observed static electricity by rubbing amber with fur, and over centuries, scientists like Benjamin Franklin, Michael Faraday, James Clerk Maxwell, Alessandro Volta, and many others helped us understand, explain, and harness it.

If you're interested in how electricity works or want to calculate things like current, voltage, or resistance, just let me know!


Here’s a concise overview of the key properties of hydrogen:

### **Atomic & Basic Properties**
- **Atomic Number:** 1
- **Symbol:** H
- **Atomic Mass:** ~1.008 u
- **Electron Configuration:** 1s¹
- **Isotopes:**
  - Protium (¹H): ~99.98% (most common, stable)
  - Deuterium (²H): ~0.015% (stable, used in heavy water)
  - Tritium (³H): Trace amounts (radioactive, half-life ~12.3 years)

### **Physical Properties**
- **State at STP:** Colorless, odorless, tasteless gas
- **Density:** 0.0899 g/L (


The scientist who proposed the special theory of relativity was **Albert Einstein**. He published it in his 1905 paper *"On the Electrodynamics of Moving Bodies"*.


A scientist is a person who conducts scientific research to gain knowledge in the fields of science. This involves observing, experimenting, and analyzing natural phenomena to understand how the world works. Scientists work in various disciplines such as physics, chemistry, biology, medicine, and social sciences. They often publish their findings in scientific journals.


A holy book is a text that is considered sacred by a particular religion or spiritual tradition. These texts are often believed to contain divine revelations, moral teachings, or historical accounts of the faith's origins and beliefs. Different religions have their own holy books, such as the Bible in Christianity, the Quran in Islam, the Torah in Judaism, the Vedas in Hinduism, and the Tripitaka in Buddhism.


Martin Luther is widely considered the initiator of the Protestant Reformation. He was a German theologian and professor who, in 1517, posted his Ninety-Five Theses, criticizing the Catholic Church's practice of selling indulgences. This act sparked the movement that led to the split from the Catholic Church and the formation of Protestant denominations.


When mixing two digital colors (hex codes), the standard method is to average their RGB values. Assuming an equal 50/50 blend:

*   **#FAEBD7** (RGB: 250, 235, 215)
*   **#00FFFF** (RGB: 0, 255, 255)

**Mixed Color:**
*   **Hex:** `#7DF5EB`
*   **RGB:** (125, 245, 235)
*   **Name:** Light Cyan / Aqua

*(Note: This result assumes additive digital mixing. If you are mixing physical paints or pigments, the result would be a muted, pale teal due to subtractive color theory.)*


In Christianity, the most important figure is **Jesus Christ**.

While Jesus is referred to as a prophet in various biblical passages and in other religious traditions (such as Islam), Christianity uniquely understands him as far more than a prophet. He is viewed as the **Son of God**, the **Messiah**, and the ultimate revelation of God Himself. In Christian theology, Jesus is not just a messenger of God's word, but the Word made flesh (John 1:14), the Savior, and the central figure of the fait


I'd be happy to help you find the right color mix! To give you an accurate answer, I'll need to know the specific color shade you're aiming for. You can describe it in any of these ways:

- **Hex code** (e.g., `#FF5733`)
- **RGB values** (e.g., Red: 255, Green: 87, Blue: 51)
- **A color name or description** (e.g., "a muted sage green" or "vibrant coral")
- **A Pantone number** (if you're working with print or design)

Once you share the target color, I can tell you exactly which base colors to


I cannot find the year of a Picasso's painting using the available tools. The only tool I have access to is for retrieving the dimensions of a sculpture.


The most suitable rock for a garden sculpture depends on your climate, desired aesthetic, and maintenance preferences, but **granite** and **marble** are generally considered the top choices:

- **Granite**: Highly durable, weather-resistant, and maintains its shape and finish for decades. It's harder to carve, so it's best for simpler, bold, or abstract designs.
- **Marble**: Offers a classic, elegant look and is much easier to carve, making it ideal for detailed figurative or ornamental pieces


Camp Nou Stadium, the home stadium of FC Barcelona, has a seating capacity of approximately 99,354. However, the stadium is currently undergoing renovations, which has reduced its capacity during the construction period.


The sculpture 'The Thinker' was created by Auguste Rodin.


The Eiffel Tower is approximately **984 feet** (300 meters) tall. If you include the antenna, its total height is about **1,063 feet** (324 meters).


Designing a cathedral-style ceiling involves blending architectural aesthetics with structural engineering to create a tall, arched, and visually dramatic space. Here’s a practical guide to help you design one:

### 1. Understand the Core Characteristics
- **Height & Proportion:** Cathedral ceilings typically rise 1.5 to 2 times the height of standard walls (often 12–20+ feet).
- **Arched Profile:** The ceiling follows a curved or pointed arch shape rather than a flat plane.
- **Vertical Emphasi


I don't have access to real-time rental data or a tool to calculate apartment rental costs. However, as a general reference, renting an apartment in New York City typically ranges from **$2,500 to $5,000+ per month**, depending heavily on the neighborhood, size, and amenities. Manhattan and prime Brooklyn areas tend to be at the higher end, while outer boroughs like Queens, the Bronx, or parts of Brooklyn often offer more affordable options.

For current listings and accurate pricing, I'd recom


The artist behind the famous painting *The Scream* is **Edvard Munch**. He created the first version in 1893, and he painted several versions of the work throughout his career.


Selling your acoustic guitar involves preparation, pricing, and choosing the right platform. Here’s a concise guide:

1. **Prepare the Guitar**: Clean it thoroughly, check for damage (cracks, fret wear, etc.), and ensure it’s in good working condition. Consider a professional setup or repair if needed.

2. **Take Quality Photos**: Use natural lighting and capture multiple angles (body, neck, headstock, interior, and any unique features). Include close-ups of serial numbers or brand logos.

3. **


Maintaining a piano properly ensures it stays in tune, sounds great, and can last for generations. Here are the most effective tips:

### 🌡 Environmental Control
- **Stable Temperature:** Keep the room between 68–72°F (20–22°C). Avoid placing the piano near exterior walls, doors, windows, or HVAC vents.
- **Humidity Management:** Aim for 40–50% relative humidity. Use a room humidifier/dehumidifier or install a built-in piano humidity control system. Fluctuations cause the wood to expand and con


I don't have information about lectures or teachers. I can help you with concert details if you have a concert ID.


I'm sorry, but I don't have access to information about university classes. I can only check for concert availability.


I don't have access to information about basketball games. The tool I have available is specifically designed to search for concerts at venues, not sports events. If you're looking for concert information at Madison Square Garden or elsewhere, I'd be happy to help with that!


The term "composer" in the United States spans several musical genres, so the most famous figures depend on the style you're interested in. Here’s a breakdown of the most renowned American composers across different fields:

### 🎼 Classical / Orchestral
- **Aaron Copland** – Widely regarded as the most famous American classical composer. He defined a distinctly American sound in 20th-century orchestral music with works like *Appalachian Spring*, *Rodeo*, and *El Salón México*.
- **George Gershwi


In Ancient Greece, there was no single ruler who established laws for the entire region, as it consisted of independent city-states (poleis). However, several famous figures are credited with establishing laws and orders for specific cities:

*   **Lycurgus** is traditionally credited with establishing the constitution and laws of **Sparta** (known as the *Great Rhetra*), which created the unique militaristic society of Sparta.
*   **Solon** is the most famous lawgiver of **Athens** (early 6th c


Don Quixote was written by Miguel de Cervantes.


In the key of C major, the **primary triads** are the tonic (I), subdominant (IV), and dominant (V) chords. These are the three strongest chords in the key and are used to establish the tonality.

Here they are:

*   **I (Tonic): C Major** (C - E - G)
*   **IV (Subdominant): F Major** (F - A - C)
*   **V (Dominant): G Major** (G - B - D)

These three chords are responsible for the vast majority of chord progressions in Western music. While the other diatonic triads in the key of C major (D minor


The composer of the *Moonlight Sonata* (officially titled *Piano Sonata No. 14*) was **Ludwig van Beethoven**. He composed it in 1801.


The pattern of the **A Blues Scale** consists of the following notes and intervals:

**Notes:**
A, C, D, E, Eb, G

**Interval Formula:**
1, b3, 4, 5, b5, b7

**Semitone Pattern:**
3, 2, 2, 1, 3, 3

### Breakdown:
*   **1 (A):** Root
*   **b3 (C):** Minor third (3 semitones up)
*   **4 (D):** Perfect fourth (2 semitones up)
*   **5 (E):** Perfect fifth (2 semitones up)
*   **b5 (Eb):** Diminished fifth / "Blue note" (1 semitone up)
*   **b7 (G):** Minor seventh (3 semitones up)

The defining char


The Grammy Award for Best Album of the Year in 2017 (at the 59th Annual Grammy Awards) was won by **Adele** for her album ***25***.


The winner of the Wimbledon Men's Singles in 2021 was **Novak Djokovic**. He defeated Matteo Berrettini in the final with a score of 6–3, 6–3, 6–3, 6–4.


The NBA Most Valuable Player (MVP) for the 2019-2020 season was James Harden.


I don't have access to information about football team rankings. However, I can help you find the Most Valuable Player (MVP) for a specific sport season if you're interested.


LeBron James is an American professional basketball player who plays for the Los Angeles Lakers in the NBA. He is widely regarded as one of the greatest basketball players of all time.


As of late 2024, the top-ranked tennis player in the world is **Jannik Sinner**. He has held the No. 1 spot in the ATP rankings after a strong season.

*(Note: Rankings change frequently based on tournament results. For the most up-to-date information, please check the official ATP website or recent sports news.)*


The last Men's FIFA World Cup was held in 2022 in Qatar, and **Argentina** won the tournament.

The last Women's FIFA World Cup was held in 2023 in Australia and New Zealand, and **Spain** won the tournament.


I don't have access to a tool that can retrieve a full team roster. I can only get the top scorer for a specific season if you're interested. For the most up-to-date and complete roster of Manchester United, I recommend checking their official website or a reliable sports database like ESPN or Transfermarkt. Let me know if you'd like to know who their top scorer was in a particular season!


I'd be happy to help you find the best chess move! However, you haven't provided the chess position. Could you please share the position using a FEN string, describe the board, or upload an image of the position?


The total number of possible chess games is estimated to be around **10^120** (a googol is 10^100, so this is an incredibly vast number). This estimate is known as the **Shannon number**, named after mathematician Claude Shannon, who calculated it in 1950.

This number accounts for all possible sequences of legal moves from the starting position to the end of the game, including all possible variations in piece movements, captures, and game outcomes. It's a theoretical maximum and doesn't accoun


I don't have access to information about your specific game of Monopoly. I can't see what happened last night. However, if you have a specific board game state you're analyzing, I can help calculate possible moves!


The game of Uno is a popular card game where the objective is to be the first player to get rid of all your cards. Here are the general rules:

**Objective**
The goal is to play all of your cards before anyone else.

**Setup**
*   Each player is dealt 7 cards.
*   The remaining deck is placed face down to form a draw pile.
*   The top card of the deck is flipped face up to start the discard pile.

**Playing the Game**
*   Play proceeds in a clockwise direction.
*   On your turn, you must play a


In Blackjack, the Ace is a versatile card that can be counted as either **1** or **11**, depending on which value is more advantageous for the hand.

Here are the key rules regarding the Ace:

*   **Flexible Value:** If counting the Ace as 11 would cause your hand to bust (exceed 21), it automatically counts as 1. If both values keep you under 21, you can choose which value to use.
*   **Blackjack:** If your first two cards are an Ace and a 10-value card (10, Jack, Queen, or King), you have a "B


I cannot help you find an ice cream store. I am a tool designed to provide guidance and tips for video games.


I will retrieve the score for player A in the game Halo.


I don't have the capability to create a jigsaw puzzle. I can only solve a jigsaw puzzle if you provide an image. If you have a jigsaw puzzle image you'd like me to solve, please share it!


The author of the book *Pride and Prejudice* is Jane Austen.


I can help you find the best weapon to use against a dragon. What is your player level?


I can only retrieve the highest score for Flappy Bird, not the lowest score. If you'd like to know the highest score, please specify the platform (e.g., PC, Mobile, etc.).


I cannot help you find the shortest path in a game as I don't have access to the game's map, rules, or pathfinding algorithms. My capabilities are limited to calculating taxi fares based on distance, wait time, and surge pricing.

If you're looking for help with a specific puzzle or riddle, feel free to share the details!


Building a new PC is a rewarding process that involves assembling various hardware components. Here is a general guide on how to do it:

### 1. Gather Your Components
Ensure you have all the necessary parts and tools:
*   **CPU** (Processor)
*   **CPU Cooler** (Stock cooler or aftermarket)
*   **Motherboard** (Make sure it fits your case and is compatible with your CPU)
*   **RAM** (Memory)
*   **GPU** (Graphics Card - optional if your CPU has integrated graphics)
*   **Storage** (SSD or HDD)
*


The most famous place in Paris is generally considered to be the **Eiffel Tower**. It is an iconic symbol of the city and one of the most recognizable landmarks in the world.

Other highly famous places in Paris include:
*   **The Louvre Museum** (home of the Mona Lisa)
*   **Champs-Élysées** (a famous avenue)
*   **Notre-Dame Cathedral**
*   **Montmartre** (known for the Sacré-Cœur Basilica)


The best way to boil an egg depends on how you like your yolk. Here is a simple guide for achieving the perfect boil:

### **For Hard-Boiled Eggs (Fully Cooked Yolk)**
1.  **Start with cold water:** Place eggs in a saucepan and cover them with cold water by about an inch. This helps prevent cracking.
2.  **Bring to a boil:** Turn on the heat and bring the water to a rolling boil.
3.  **Cook for 9–12 minutes:** Once boiling, start a timer.
    *   **9 minutes:** Firm but still slightly soft yolk.


I don't have access to real-time data or the ability to browse the internet to find the current "best" sushi restaurant in Los Angeles. However, I can share some highly acclaimed sushi spots in LA that are frequently recommended:

*   **Noren** (West Hollywood) - Known for its omakase experience and high-quality fish.
*   **Sushi Ran** (Hollywood) - A classic, no-frills spot famous for its traditional style and consistent quality.
*   **Katsura** (Hollywood) - A modern omakase spot with a sleek


It typically takes about 5.5 to 6.5 hours to drive from San Francisco to Los Angeles, depending on traffic and the route you take (usually I-5 or Highway 101).


I don't have access to your current location or a database of restaurants, so I can't tell you where the closest Italian restaurant is. You might want to check a map application or a local search engine for that information!


I cannot write a book. However, I can help you create a recipe! If you have a list of ingredients and cooking instructions, I can generate a detailed recipe for you.


I can help you with a recipe for a chocolate cake! Here is a recipe for a chocolate cake:


Here's a classic homemade lasagna recipe:

**Ingredients:**
- 12 lasagna noodles
- 1 lb ground beef (or Italian sausage)
- 1 onion, chopped
- 2 cloves garlic, minced
- 2 cups marinara/pasta sauce
- ½ cup water
- 2 eggs
- 15 oz ricotta cheese
- ½ cup grated Parmesan cheese
- ½ tsp salt
- ¼ tsp black pepper
- ½ tsp dried basil
- ¼ tsp dried oregano
- 8 oz mozzarella cheese, sliced or shredded

**Instructions:**
1. Preheat your oven to 375°F (190°C).
2. Cook the lasagna noodles in boiling water unt


Here are some recommended exercises for building leg strength and muscle:

1.  **Squats**: A compound movement that targets the quadriceps, hamstrings, and glutes. They are excellent for overall leg strength and functional fitness.
2.  **Lunges**: These work the quads, hamstrings, and glutes while also improving balance and coordination. You can perform them in various directions (forward, backward, lateral) to target different muscle fibers.
3.  **Leg Press**: This machine-based exercise allows


I don't have access to real-time population data, so I can't give you the exact number of people in New York right now. Population figures are constantly changing due to births, deaths, and migration.

However, based on recent estimates (like the 2020 U.S. Census and subsequent projections), the population of New York City is approximately **8.2 to 8.3 million people**. The population of the entire state of New York is roughly **19.6 million**.

For the most up-to-date official figures, you woul


I can only calculate the sunrise time, not the sunset time. However, I can provide the sunrise time for Beijing today.


Here are some popular sushi restaurants in Tokyo that are well-regarded:

*   **Sushi Jiro (Ginza):** Famous for its high-end omakase experience and was the inspiration for the documentary "Jiro Dreams of Sushi."
*   **Sushi Zanmai (Asakusa):** A very popular conveyor belt sushi spot known for its reasonable prices and consistent quality.
*   **Sushi Dai (Odaiba):** A well-known spot that offers a view of the Rainbow Bridge and is famous for its affordable omakase.
*   **Sukitomo (Shibuya):** A


I don't have access to a restaurant search tool, but here are a few popular Thai restaurants in Chicago known for their vegetarian-friendly menus:

*   **Thai Basil** (Lincoln Square) – Known for authentic flavors and a wide selection of vegetable-based curries and stir-fries.
*   **Thai Orchid** (Lincoln Square) – Offers a variety of vegetarian dishes, including papaya salad and vegetable pad thai.
*   **Thai House** (Lincoln Square) – Features vegetarian options like green curry with vegetable


I am sorry, but I cannot fulfill this request. The available tool is designed to search for hotels based on location and specific amenities (Breakfast, Fitness Centre, Free Wi-Fi, Parking). It does not support searching for yoga retreats or filtering by vegetarian meals and spa services.


I don't have a currency conversion tool available. However, based on recent exchange rates, $20 USD is approximately £15.60 GBP. Exchange rates fluctuate constantly, so for an exact amount, please check a financial website or currency converter.


10 inches is equal to 0.254 meters.


The "best" movie of 2020 is highly subjective, as it depends on your preferred genre and what you value in a film. However, several 2020 releases were widely praised by critics and audiences alike:

🎬 **Top Contenders:**
* **Dune** – A visually stunning sci-fi epic that dominated the box office and won multiple awards.
* **The Father** – A deeply moving, tightly crafted drama with career-defining performances by Anthony Hopkins and Olivia Colman.
* **Soul** – Pixar's philosophical and beautifull


I don't have access to real-time location data or a tool to search for nearby pharmacies. I recommend using a map application or a local directory to find the nearest pharmacy. If you have a specific address or destination in mind, I can help you plan a route to it.


To find the hypotenuse of a right-angled triangle, you can use the Pythagorean theorem: $a^2 + b^2 = c^2$, where $a$ and $b$ are the lengths of the two sides, and $c$ is the length of the hypotenuse.

Given:
$a = 5$
$b = 6$

Calculation:
$c = \sqrt{5^2 + 6^2}$
$c = \sqrt{25 + 36}$
$c = \sqrt{61}$

The exact length of the hypotenuse is $\sqrt{61}$, which is approximately **7.81**.