Can someone help me with these 3 questions please

the area of the dartboard is approximately 254.34 square inches.

The area of a dartboard can be calculated using the formula for the area of a circle, which is given by:

Area = π * \(radius^2\)

Given that the radius of the dartboard is 9 inches, we can substitute this value into the formula:

Area = π * \(9^2\)

Area = π * 81

To calculate the area, we need to use the value of π (pi). Pi is an irrational number and is commonly approximated as 3.14. Using this approximation, we can calculate the area:

Area ≈ 3.14 * 81

Area ≈ 254.34 square inches

To know  more about irrational visit:

brainly.com/question/29204809

#SPJ11

Answer:

A. $2499.80

B. $2499.10

The main answer to the question is that the expression that can be used to find the total number of birdhouses Jason has made after w weeks is:
5 + 4w

The explanation for this is that Jason has already made 5 birdhouses, so this is his starting point.

Then, he decides to make 4 birdhouses each week.

We can represent this by multiplying the number of weeks by 4, which gives us 4w.

Adding the initial 5 birdhouses to this gives us the total number of birdhouses made after w weeks.

In summary, the expression to find the total number of birdhouses Jason has made after w weeks is 5 + 4w, which takes into account his starting point of 5 birdhouses and his weekly production of 4 birdhouses.

Learn more about expression click here:

https://brainly.com/question/1859113

#SPJ11

Answer:

Mon has 50 and Jenny has70

Step-by-step explanation:

5x10=50

7x10=70

Answer:

the answer is 50:70

Step-by-step explanation:

i just multiplied each number by 10

3 because 2 of them played during spring and winter. 6 of them played during spring and fall. and 13 played during fall and winter. but your asking for year round which is all three seasons meaning only 3 played year round.

Answer:

\(\frac{40}{41}\)

Step-by-step explanation:

Sin = opposite / hypothenuse

Sin A = 40 / 41

Answer: \(\frac{40}{41}\)

Answer:

The answer is 40/41...............

Answer:

918

Step-by-step explanation:

891 = -27p

891 + 27 =p

p = 918

Jackie pays $130 monthly for her group health insurance.

To find out how much Jackie pays for her group health insurance monthly, we need to calculate 40% of the annual cost. Given that the annual cost is $3,900 and her company pays 40% of that, we can calculate the amount Jackie pays.

First, we find the company's contribution by multiplying the annual cost by 40%: $3,900 × 0.40 = $1,560. This is the amount the company pays towards Jackie's health insurance.

To determine Jackie's monthly payment, we divide her annual payment by 12 (months in a year) since she pays monthly. So, Jackie's monthly payment is $1,560 ÷ 12 = $130.

Therefore, Jackie pays $130 per month for her group health insurance. This calculation takes into account the company's contribution of 40% of the annual cost, resulting in an affordable monthly payment for Jackie.

Learn more about annual payment here:

https://brainly.com/question/29484283

#SPJ11

No, it does not make any sense to say that the density of helium is  0.1785 kilograms per square meter.

No, it does not make any sense to say that the density of helium is  0.1785 kilograms per square meter.

The reason why it doesn't make sense is because density of helium, and all the rest of the chemical elements are calculated as;

Density = mass/volume

where;

mass is measured in kilograms.

volume is measured in cubic meter.

Thus, the density of the helium should be expressed as 0.1785 kilograms per cubic meter.

Read more about Density at; https://brainly.com/question/1354972

#SPJ1

PLAIN language helps bridge the staggering illiteracy statistics in the United States by making information and communication more accessible, understandable, and inclusive for individuals with low literacy skills. It simplifies complex language, uses plain and straightforward terms, and employs clear formatting to enhance comprehension and promote literacy.

PLAIN language is a communication approach that focuses on making written and spoken information easier to understand. It involves using clear and concise language, avoiding jargon, simplifying complex concepts, and organizing content in a logical manner. By employing PLAIN language principles, organizations and institutions can create materials, such as instructional guides, educational resources, and public information, that are more accessible to individuals with low literacy skills.

In the context of staggering illiteracy statistics, PLAIN language plays a crucial role in breaking down barriers to literacy. By using plain and simple language, individuals with limited reading abilities can better comprehend information, instructions, and stories. This enables them to actively participate in activities such as reading to their children, promoting early literacy development and fostering a love for reading. PLAIN language also empowers individuals with low literacy to navigate important documents, understand health information, engage in civic participation, and access essential services. Overall, PLAIN language helps bridge the gap caused by illiteracy, making information more inclusive and promoting literacy for all.

Learn more about statistics here:

https://brainly.com/question/15525560

#SPJ11

The area of the given trapezoidal site is 250,000 sq. ft.

The area of the trapezoidal with the dimensions of both bases and the height is given by the formula,

Area = 1/2 × height × (base1 + base2)

Units: square units

The given trapezoidal site has a base of 150 feet, i.e., base1 = 150 ft; a height of 2000 ft, i.e., height = 2000 ft and a parallel base of 100 feet, i.e., base2 = 100 ft.

Then, the area of the trapezoidal is

= 1/2 × 2000 × (150 + 100)

= 1/2 × 2000 × 250

= 250,000 sq. ft

Learn more about the area of the trapezoidal here:

https://brainly.com/question/1463152

#SPJ4

The number of intervals that feel that America is doing about the right amount to protect the environment is 0.487, and 0.551 intervals

To find the number of adults who feel that America is doing about the right amount to protect the environment, we need to use the confidence interval proportion formula

CI = p ± Zα/2 * √(p * (1-p)/n

where:

p = sample proportion = 519/1000 = 0.519

n = sample size = 1000

Zα/2 = the critical value for the desired confidence level = 1.96

By substuting the values, we get:

CI = 0.519 ± 1.96 * √(0.519 * (1-0.519) / 1000)

= 0.519 ± 0.032

= (0.487, 0.551)

Therefore,  (0.487, 0.551) interval feel that America is doing about the right amount to protect the environment.

To learn more about  Confidence interval proportion :

https://brainly.com/question/25234145

#SPJ4

Answer:

8

Step-by-step explanation:

The correct answer is the signs for r and b are the same (+ or ). The slope b and the correlation r don't necessarily have the same values, but they always share the same sign.

The idea employed in the issue is

1.Correlation

2.Regression

Correlation: Correlation analysis is used to gauge how strongly two variables are related. The symbol for the correlation coefficient is r.

Shape: Whether the data points follow a linear pattern or some other complex curves is indicated by the association's form. If it seems that a line would adequately summarise the overall trend in the data, then do so. The relationship between the two variables is then linear.

The appropriate statement can be found below:

The determination of the standard deviation between the two variables influences how a least-squares linear regression function slopes, and in a similar way, how the sample correlation coefficients are interpreted.

By examining the sign of the regression slope and the correlation coefficient, which depend on the standard deviation between the two variables, the proper conclusion can be drawn.

To learn more about Correlation click here :

brainly.com/question/28898177

#SPJ4

a) two representatives be picked in 5850 ways so that one is a mathematics major and the other is a computer science major. b) one representative be picked in 343 ways who is either a mathematics major or a computer science major.

Product Rule: If one event occurs in m ways and a second event occurs in n ways, the number of ways the two events occur in the sequence is m×n ways.

Sum Rule: If an event occurs either in m ways or in n ways (non-overlapping), the number of ways the event can occur is m+n ways.

according to the question,

Mathematics majors =18 and Computer science majors = 325

A. We need to use the product rule because the first event is picking up a Mathematics major and the second event is picking up a computer science major.

= 18 x 325

= 5850

B. Here sum rule is applicable because the event is picking up a mathematics major or a computer science major.

= 18 + 325

= 343

To learn more about product rule - sum rule visit

https://brainly.com/question/29508207

#SPJ4

(complete question)

there are 18 mathematics majors and 325 computer science majors at a college. a) in how many ways can two representatives be picked so that one is a mathematics major and the other is a computer science major? b) in how many ways can one representative be picked who is either a mathematics major or a computer science major.

To find the equation of the line that passes through the given point and has the indicated slope, we can use the point-slope form and then simplify it to the slope-intercept form.

Given point: (-8,-2)Indicated slope: m = 3/4Point-slope form: y - y1 = m(x - x1). Substituting the values of m, x1 and y1, we get:y - (-2) = 3/4(x - (-8))y + 2 = 3/4(x + 8). Multiplying both sides by 4, we get:4y + 8 = 3(x + 8)4y + 8 = 3x + 24

Subtracting 3x and 8 from both sides, we get:4y - 3x = 16This is the equation of the line in standard form. To write it in slope-intercept form (y = mx + b), we can solve for y and get:y = (3/4)x + 4. This is the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope.

To find more about equation visit:

brainly.com/question/29609574

#SPJ11

Bob has 63 quarters, based on the given information that he has a total of 90 dimes and quarters with a total value of $18.45.

Let's assume Bob has 'x' quarters. Since the total number of dimes and quarters is 90, we can represent the number of dimes as 90 - x.

The value of each quarter is $0.25, and the value of each dime is $0.10. The total value of the coins is given as $18.45.

We can set up the equation:

0.25x + 0.10(90 - x) = 18.45

Simplifying the equation:

0.25x + 9 - 0.10x = 18.45

0.15x + 9 = 18.45

0.15x = 9.45

x = 9.45 / 0.15

x ≈ 63

Therefore, Bob has approximately 63 quarters.

Learn more about Dimes here: brainly.com/question/31876381

#SPJ11

Ahhh, the graph! Such an interesting thing. I think I can help you...

The answer is B - (3, -4).

My explanation is this.

In an ordered pair (like the one I just mentioned), the x value and the y value are represented like so: (x, y.)

If you start from the middle of the graph, where the points intersect, if you count three lines over on the horizontal line, that's your x value. 3.

But for the y, since we're counting down on the vertical line, not up, we'll have a -4 instead of a positive.

Therefore the answer (3, -4)

I hope this answers your question.

-Toremi

here this probally will help

Answer:

5, 3

Step-by-step explanation:

The area of the surface of revolution obtained by revolving the

curve \(\(y=\ln(5x)\) from \(x=1\) to \(x=5\)\) about the y-axis is

\(\(-\pi \left( \frac{2}{3} \cdot 5^4 \cdot \frac{26}{25}^{3/2} - \frac{16}{3} \cdot 5^4 - \frac{2}{3} \cdot \frac{26}{25}^{3/2} + \frac{16}{3} \right)\).\)

1. To find the surface area, we can use the formula for the surface area of revolution:

\(\[ A = 2\pi \int_{a}^{b} y \sqrt{1 + \left(\frac{dy}{dx}\right)^2} dx \]\)

In this case, we have \(\(y = e^x\)\) and we need to revolve it about the x-axis from \(\(x=0\) to \(x=\frac{1}{2}\ln 3\)\). Let's calculate the surface area:

\(\[ A = 2\pi \int_{0}^{\frac{1}{2}\ln 3} e^x \sqrt{1 + \left(\frac{d}{dx}(e^x)\right)^2} dx \]\)

The derivative of \(\(e^x\)\) with respect to \(\(x\)\) is simply \(\(e^x\)\), so the integral becomes:

\(\[ A = 2\pi \int_{0}^{\frac{1}{2}\ln 3} e^x \sqrt{1 + (e^x)^2} dx \]\)

Now, we can simplify the integrand by combining the terms under the square root:

\(\[ A = 2\pi \int_{0}^{\frac{1}{2}\ln 3} e^x \sqrt{1 + e^{2x}} dx \]\)

To proceed with the integration, we can use a substitution. Let

\(\(u = 1 + e^{2x}\), then \(du = 2e^{2x} dx\). Rearranging, we have \(dx = \frac{1}{2e^{2x}} du\).\)

The limits of integration also change accordingly. When \(\(x = 0\), \(u = 1 + e^0 = 2\)\). When \(\(x = \frac{1}{2}\ln 3\), \(u = 1 + e^{\ln 3} = 1 + 3 = 4\).\)

Substituting the values into the integral:

\(\[ A = 2\pi \int_{2}^{4} e^x \sqrt{u} \cdot \frac{1}{2e^{2x}} du \]\)

Simplifying, we get:

\(\[ A = \pi \int_{2}^{4} \sqrt{u} \cdot e^{-x} du \]\)

Now, we can integrate with respect to \(\(u\):\)

\(\[ A = \pi \int_{2}^{4} u^{1/2} \cdot e^{-x} du \]\\\\The integral of \(u^{1/2}\) is \(\frac{2}{3}u^{3/2}\),\) so the surface area becomes:

\(\[ A = \pi \left[ \frac{2}{3}u^{3/2} \cdot e^{-x} \right]_{2}^{4} \]\)

Plugging in the limits of integration:

\(\[ A = \pi \left( \frac{2}{3} \cdot 4^{3/2} \cdot e^{-\frac{1}{2}\ln 3} - \frac{2}{3} \cdot 2^{3/2} \cdot e^{-0} \right) \]\)

Simplifying further:

\(\[ A = \pi \left( \frac{2}{3} \cdot 8 \cdot \))\)

\(frac{1}{\sqrt{3}} - \frac{2}{3} \cdot 2 \right) \]\)

\(\[ A = \pi \left( \frac{16}{3\sqrt{3}} - \frac{4}{3} \right) \]\)

Simplifying the expression:

\(\[ A = \frac{4\pi}{3} \left( 4\sqrt{3} - 1 \right) \]\)

Therefore, the area of the surface generated by revolving the curve \(\(y=e^x\) from \(x=0\) to \(x=\frac{1}{2}\ln 3\) about the x-axis is \(\frac{4\pi}{3} \left( 4\sqrt{3} - 1 \right)\).\)

2. Calculate the area of the surface of revolution obtained by revolving the curve \(\(y=\ln(5x)\) from \(x=1\) to \(x=5\)\) about the y-axis.

To find the surface area, we'll use the formula for the surface area of revolution once again:

\(\[ A = 2\pi \int_{a}^{b} x \sqrt{1 + \left(\frac{dx}{dy}\right)^2} dy \]\)

\(\[ A = 2\pi \int_{1}^{5} x \sqrt{1 + \left(\frac{dx}{dy}\right)^2} dy \]\)

The derivative of \(\(y\)\) with respect to \(\(x\)\) can be calculated using the chain rule. Let's find \(\(\frac{dx}{dy}\):\)

\(\[ \frac{dy}{dx} = \frac{d}{dx} \left( \ln(5x) \right) \]\)

Using the chain rule:

\(\[ \frac{dy}{dx} = \frac{1}{5x} \cdot 5 = \frac{1}{x} \]\)

So, the integral becomes:

\(\[ A = 2\pi \int_{1}^{5} x \sqrt{1 + \left(\frac{1}{x}\right)^2} dy \]\)

Simplifying under the square root:

\(\[ A = 2\pi \int_{1}^{5} x \sqrt{1 + \frac{1}{x^2}} dy \]\)

\(\(dx = -\frac{x^3}{2} du\).\)\(\(x = 5\), \(u = 1 + \frac{1}{5^2} = 1 + \frac{1}{25} = \frac{26}{25}\).\)

Now, we can integrate with respect to \(\(u\):\)

\(\[ A = -\pi \int_{2}^{\frac{26}{25}} x^4 u^{1/2} du \]\)

The integral of \(\(u^{1/2}\) is \(\frac{2}{3}u^{3/2}\),\) so the surface area becomes:

\(\[ A = -\pi \left( \frac{2}{3} x^4 \cdot \frac{26}{25}^{3/2} - \frac{2}{3} x^4 \cdot 2^3 \right) \]\)

\(\[ A = -\pi \left( \frac{2}{3} x^4 \cdot \frac{26}{25}^{3/2} - \frac{16}{3} x^4 \right) \]\)

Now, we need to evaluate this expression for \(\(x = 5\) and \(x = 1\):\)

\(\[ A = -\pi \left( \frac{2}{3} \cdot 5^4 \cdot \frac{26}{25}^{3/2} - \frac{16}{3} \cdot 5^4 - \left( \frac{2}{3} \cdot 1^4 \cdot \frac{26}{25}^{3/2} - \frac{16}{3} \cdot 1^4 \right) \right) \]\)

Simplifying further:

\(\[ A = -\pi \left( \frac{2}{3} \cdot 5^4 \cdot \frac{26}{25}^{3/2} - \frac{16}{3} \cdot 5^4 - \frac{2}{3} \cdot \frac{26}{25}^{3/2} + \frac{16}{3} \right) \]\)

Therefore,  \(\(y=\ln(5x)\) from \(x=1\) to \(x=5\)\) about the y-axis is

\(\(-\pi \left( \frac{2}{3} \cdot 5^4 \cdot \frac{26}{25}^{3/2} - \frac{16}{3} \cdot 5^4 - \frac{2}{3} \cdot \frac{26}{25}^{3/2} + \frac{16}{3} \right)\).\)

To know more about revolution visit-

brainly.com/question/31383129

#SPJ11

Answer:

12/5

also written as

2 & 2/5 miles

Step-by-step explanation:

just multiply numerator by 4

give brainliest please

To find the exact value, we would need to evaluate the definite integral, but it may not be practical to do so without further information or using numerical methods.

To find the average value of a function on a closed interval, you need to calculate the definite integral of the function over that interval and divide it by the length of the interval. In this case, we want to find the average value of the function f(x) = 3xsin(x) on the interval 1 ≤ x ≤ 7.

The average value of f on the interval [1, 7] is given by the formula:

Average value = (1/(b - a)) * ∫[a to b] f(x) dx

where a and b are the endpoints of the interval.

In our case, a = 1, b = 7, and f(x) = 3xsin(x). So, we can calculate the average value as follows:

Average value = (1/(7 - 1)) * ∫[1 to 7] (3xsin(x)) dx

Know more about integral here:

https://brainly.com/question/31059545

#SPJ11

Here, we are required to determine by what percent does the store have to increase the price of the item in order to sell it for the original amount.

The store needs to increase the price by 11.11% of the original price.

The store intends to display a 10% off price slash on the item: This means the store is selling the item to the customers at a perceived 90% of the new price.

From the statements in the question;

90% of the new price must be equal to the former price;

Assumption: Let the original price be 100 and the new price = x.

Therefore;

By cross product;

x = 10000/90 = 111.11

The percent by which the price is increased is therefore given as;

(111.11 - 100)/100 × 100% = 11.11%

Therefore, the store needs to increase the price by 11.11% of the original price.

Read more:

https://brainly.com/question/24062437

Answer:

#1  216371.4826

#2  1509.2555

#3  6878.8267

To determine the number of gold atoms in the coin, we need to use the molar mass of gold and Avogadro's number. The number of gold atoms in the coin is approximately 1.068 × 10^22 atoms. None of the provided options matches this value.

1. Find the molar mass of gold (Au):

The molar mass of gold is the atomic mass of gold, which can be found on the periodic table. The atomic mass of gold is approximately 197 g/mol.

2. Convert the mass of the coin to moles:

Number of moles = Mass / Molar mass

Number of moles = 3.5 g / 197 g/mol ≈ 0.01777 mol

3. Calculate the number of atoms:

Number of atoms = Number of moles × Avogadro's number

Number of atoms = 0.01777 mol × 6.022 × 10^23 atoms/mol ≈ 1.068 × 10^22 atoms

Therefore, the number of gold atoms in the coin is approximately 1.068 × 10^22 atoms. None of the provided options matches this value.

Learn more about Avogadro's number here:

brainly.com/question/28812626

#SPJ11

Answer:

1 1/8 ga / 13.5 mi = .0833 ga / mi

1 / .0833 ga/mi = 12 mi / ga

or .0833 ga/mi * 13.5 mi = 1.25 ga