A group of 7 friends has 15 dollars to share what is each person share

Answer:

\(\frac{5\sqrt{2} }{2}\)

Step-by-step explanation:

Divide 5 by \(\sqrt{2}\) , then rationalize denominator

Answer:

Solution given:

Since the given triangle is isosceles and right angled triangle

perpendicular [p]=base[b]=x

hypotenuse [h]=5

we have

by using Pythagoras law

p²+b²=h²

x²+x²=5²

2x²=25

x²=25/2

x²=18

x=\(\sqrt{\frac{25}{2}}\)

x=\(\bold{\frac{5\sqrt{2}}{2}}\)

To find the length L of the curve given by the equation r(t) = (12t, 8t^3, 3t^2), where t ranges from 0 to 1, we can use the arc length formula for a parametric curve. The formula is:

L = ∫[a,b] √(dx/dt)^2 + (dy/dt)^2 + (dz/dt)^2 dt

In this case, we have:

dx/dt = 12
dy/dt = 24t^2
dz/dt = 6t

Substituting these values into the formula, we get:

L = ∫[0,1] √(12)^2 + (24t^2)^2 + (6t)^2 dt

Simplifying the equation, we have:

L = ∫[0,1] √(144 + 576t^4 + 36t^2) dt

Evaluating this integral will give us the length L of the curve.

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The speed of the water wave is 2.0 meters per second.

The speed of a wave is calculated by dividing the distance traveled by the time it takes to travel that distance. In this case, the distance traveled by the water wave is 10.0 meters, and the time taken is 5.0 seconds.

To determine the speed, we use the formula:

Speed = Distance / Time

Substituting the given values, we have:

Speed = 10.0 meters / 5.0 seconds = 2.0 meters per second

Therefore, from the given information, we can determine that the speed of the water wave is 2.0 meters per second.

This information about the speed of the water wave is useful for various purposes. It allows us to understand how quickly the wave is propagating through the medium. It also helps in analyzing wave behavior, such as interference, reflection, or refraction, and studying the characteristics of the medium through which the wave is traveling. Additionally, the speed of the wave can be used in calculations involving wave frequencies, wavelengths, and periods.

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The inverse Laplace transform of F(s) is; f(t) = 2e^t + 2e^(3t).

Thus, the partial fraction decomposition of F(s) is 2/(s-1) + 2/(s-3) and the inverse Laplace transform of F(s) is f(t) = 2e^t + 2e^(3t)

a. Partial fraction decomposition of F(s)

The given function F(s) = (4s - 8)/(s² - 4s + 3) can be written as;

F(s) = (4s - 8)/[(s - 1)(s - 3)]

We need to write the above fraction in partial fraction form. It can be written as;F(s) = A/(s - 1) + B/(s - 3)

Where A and B are constants that need to be found.

Now,  F(s) = A/(s - 1) + B/(s - 3) can be written as

A(s - 3) + B(s - 1) = 4s - 8

By putting s = 1, we get A = 2

By putting s = 3, we get B = 2

Therefore, F(s) can be written as; F(s) = 2/(s - 1) + 2/(s - 3)

b. Inverse Laplace transform of F(s)Using the formula, we have;

L⁻¹[F(s)] = L⁻¹[2/(s - 1)] + L⁻¹[2/(s - 3)]

By the property of inverse Laplace Transform,

L⁻¹[kF(s)] = kL⁻¹[F(s)],

we get; L⁻¹[F(s)] = 2L⁻¹[1/(s - 1)] + 2L⁻¹[1/(s - 3)]

We know that L⁻¹[1/(s - a)] = e^(at)

Hence, L⁻¹[F(s)] = 2e^t + 2e^(3t)

Therefore, the inverse Laplace transform of F(s) is;

f(t) = 2e^t + 2e^(3t).

Thus, the partial fraction decomposition of

F(s) is 2/(s-1) + 2/(s-3) and the inverse Laplace transform of F(s) is

f(t) = 2e^t + 2e^(3t)

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Answer:

I going to go with B $2378.30

Answer:

I going to go with B $2378.30

Step-by-step explanation:

Answer:

A= 30

B= 24.3

Step-by-step explanation:

The value of the contour surface passing through the point (1, 0, 2) is ψ(1, 0, 2) = 1^2 + 2e^0 = 1 + 2 = 3.

To find the points on the curve where the tangent is horizontal, we need to determine the values of t that satisfy the condition for a horizontal tangent, which is when the derivative of y with respect to t is equal to 0.

Given the parametric equations:

x = 2t^3 + 3t^2 - 12t

y = 2t^3 + 3t^2 + 1

Taking the derivative of y with respect to t:

dy/dt = 6t^2 + 6t

Setting dy/dt equal to 0 and solving for t:

6t^2 + 6t = 0

t(6t + 6) = 0

From this equation, we have two possible solutions:

t = 0

6t + 6 = 0, which gives t = -1.

Therefore, the points on the curve where the tangent is horizontal are (0, y(0)) and (-1, y(-1)). To find the corresponding y-values, substitute the values of t into the equation for y:

For t = 0:

y(0) = 2(0)^3 + 3(0)^2 + 1 = 1

For t = -1:

y(-1) = 2(-1)^3 + 3(-1)^2 + 1 = -2 + 3 + 1 = 2

Hence, the points on the curve where the tangent is horizontal are (0, 1) and (-1, 2).

To find the points on the curve where the tangent is vertical, we need to determine the values of t that satisfy the condition for a vertical tangent, which is when the derivative of x with respect to t is equal to 0.

Taking the derivative of x with respect to t:

dx/dt = 6t^2 + 6t - 12

Setting dx/dt equal to 0 and solving for t:

6t^2 + 6t - 12 = 0

t^2 + t - 2 = 0

(t + 2)(t - 1) = 0

From this equation, we have two possible solutions:

t + 2 = 0, which gives t = -2

t - 1 = 0, which gives t = 1.

Therefore, the points on the curve where the tangent is vertical are (x(-2), y(-2)) and (x(1), y(1)). To find the corresponding x-values and y-values, substitute the values of t into the equations for x and y:

For t = -2:

x(-2) = 2(-2)^3 + 3(-2)^2 - 12(-2) = -16 + 12 + 24 = 20

y(-2) = 2(-2)^3 + 3(-2)^2 + 1 = -16 + 12 + 1 = -3

For t = 1:

x(1) = 2(1)^3 + 3(1)^2 - 12(1) = 2 + 3 - 12 = -7

y(1) = 2(1)^3 + 3(1)^2 + 1 = 2 + 3 + 1 = 6

Hence, the points on the curve where the tangent is vertical are (20, -3) and (-7, 6).

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Answer:

7/9 ÷ 5/6 = 42/45 as simplified as 14/15 in fraction form. 7/9 ÷ 5/6 = 0.9333 in decimal form.

Step-by-step explanation:

Answer:

14/15

Step-by-step explanation:

7/9 x 6/5 = 42/45 = 14/15

brainliest pls

Answer:

I would say B

Step-by-step explanation:

Only because if you were to take the money from the negative side and subtract it from the positive side you would get $87,025.

That would be my answer.

Answer:

85%

Step-by-step explanation:

If they had a 15% chance out of 100% to win free movie tickets, just subtract the 15% from the 100% to get your answer. Hope it helps.

Answer:

14

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 3x² + 1 - (1 - x)

= 3x² + 1 - 1 + x

= 3x² + x

Then

(f- g)(- 2)

= 3(- 2)² + 2

= 3(4) + 2

= 12 + 2

= 14

The required demand function for the marginal revenue function is P = 0.02x² - 0.025x.

Marginal Revenue is the revenue that is gained from the sale of an additional unit. It is the revenue that a company can generate for each additional unit sold; there is a marginal cost attached to it, which must be accounted for.

The marginal revenue function, find the demand capability is P = 0.02x² - 0.025x + 138 when R'(x) = 0.06x² - 0.05x + 138 .

Considering that,

We need to find for the peripheral income capability, find the interest capability.

Recollect that the pay is zero assuming no things are sold:

R'(x) = 0.06x² - 0.05x + 138

p(x) is what.

That's what we know,

MR = dTR/dx = 0.06x² - 0.05x + 138

Incorporating the marginal revenue function , we get complete income capability,

MR = TR

= (0.06x²⁺¹)/(2+1) - (0.05x¹⁺¹)/(1+1) + 138x

= (0.06x³)/3 - (0.05x²)/2 + 138 x

TR = 0.02 x³ - 0.025 x² + 138 x

TR = (P)(Q) = (P)(x) = 0.02 x³ - 0.025 x² + 138 x

P = ( 0.02 x³ - 0.025 x² + 138 x)/x

P = 0.02x² - 0.025x + 138

In this manner, The marginal revenue function, find the interest capability is P = 0.02x² - 0.025x + 138 when R'(x) = 0.06x² - 0.05x + 138 .

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The median volume of water in the eight containers is 3.7 liters.

To find the median, we need to arrange the volumes of water in ascending order: 2.8 liters, 3.1 liters, 3.2 liters, 3.7 liters, 3.9 liters, 4.2 liters, 4.5 liters, and 5.6 liters. The median is the middle value in a sorted set of numbers. In this case, we have eight containers, so the middle value will be the fourth one when arranged in ascending order. The fourth value is 3.7 liters, which is the median volume.

The median is a measure of central tendency that helps identify the middle value in a dataset. It is especially useful when dealing with a small set of numbers or when the data contains outliers. In this case, we have arranged the volumes of water in ascending order, and the fourth value, 3.7 liters, represents the median. This means that half of the volumes are below 3.7 liters, and half are above it. The median is often used as a robust measure of the "typical" value, as it is less affected by extreme values compared to the mean.

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Answer:

no its 1749

Step-by-step explanation:

Responder:

2³

5⁴

10³

a^6

Explicação passo a passo:

Quando um certo valor é multiplicado repetidamente,

Por exemplo,

a * a * a * a = a⁴ (a multiplicado 4 vezes)

Por isso,

2 x 2 x 2 = 2³

5 x 5 x 5 x 5 = 5⁴

10 x 10 x 10 = 10³

a x a x a x a x a x a = a^6

The formula for the surface area of the box, in terms of the length of one side of the square base (s), is A = s^2 + 4s^2 = 5s^2.

The derivative of the surface area function with respect to s, denoted as dA/ds, gives us the rate of change of the surface area with respect to the length of one side of the base.

1. The surface area of the box consists of the area of the square base and the four equal sides. The area of the square base is s^2, and each side has a length of s. Therefore, the total surface area is given by A = s^2 + 4s^2 = 5s^2.

2. To find the derivative of the surface area function, we differentiate 5s^2 with respect to s using the power rule of differentiation. The power rule states that if we have a function f(x) = cx^n, then the derivative is f'(x) = cnx^(n-1).

  Applying the power rule, we have dA/ds = d(5s^2)/ds = 10s.

3. The derivative, dA/ds = 10s, represents the rate of change of the surface area with respect to the length of one side of the square base. This means that for every unit increase in s, the surface area increases by 10s units.

  The derivative does not provide information about minimizing the amount of material used. To find the dimensions of the box that minimize the amount of material used, we need to set up an optimization problem and solve for the critical points. This involves setting the derivative equal to zero and finding the values of s that satisfy this equation. However, since the problem statement does not provide a specific volume constraint or objective function, we cannot proceed with the optimization process.

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Answer:

Alex has 3x dollars and an extra 15 dollars in his coat pocket. He buys a new Nike shoe for 84 dollars. How much money did Alex spend that was not in his pocket.

Step-by-step explanation:

Answer:

Part A: Word problem

Maria went to the store and purchased some books for her book club. Each book cost $3, and she also bought some bookmarks at $15 each. Maria's total purchase, including tax, amounted to $84. If Maria bought x books, write an equation to represent the situation.

Part B: Solution

To solve the equation 3x + 15 = 84, we need to isolate the variable x on one side of the equation.

Step 1: Subtract 15 from both sides of the equation to eliminate the constant term on the left side:

3x + 15 - 15 = 84 - 15

3x = 69

Step 2: Divide both sides of the equation by 3 to isolate x:

3x/3 = 69/3

x = 23

So, the solution to the equation is x = 23.

Part C: Explanation

In the given equation 3x + 15 = 84, the variable x represents the number of books Maria purchased. The equation states that the cost of x books at $3 each, represented by 3x, plus the cost of $15 for bookmarks, totals to $84. Thus, the value of x represents the number of books Maria bought in this scenario. In the solution, x = 23, it means Maria purchased 23 books for her book club.

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

3 x 5 get you 20 and 20 x 45 gets you 80 covert it into a fraction 4/5

Answer:

5

Step-by-step explanation:

it absolutely depends on how fast you study

Answer:

  12

Step-by-step explanation:

You want the least common multiple of 3 and 4.

3 and 4 have no common factors, so their least common multiple (LCM) is their product:

  3·4 = 12

The LCM of 3 and 4 is 12.

__

Additional comment

If the numbers have a common factor, then the LCM is their product, divided by the greatest common factor.

For example, 4 and 6 have a common factor of 2. Their LCM is 4·6/2 = 12.

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Answer:

1. 8.9x10^5

2. 5.05x10^1

3. 7x10^26

4. 1.8x10^11

5. 4x10^4

6. 7x10^-18

7.  7.1x10^4

8. 6.6x10^-3

9.  9x10^19

10. 1.8x10^7

11. 2x10^10

12. 5x10^10

Answer:

1. 3 cookies

2. 2 cups

3. 300 calories

4. $35 per month

5. k = y/x

6. If there is no constant (k)

Step-by-step explanation:

1. The number of cookies the factory makes in one minute = (The number of cookies the factory makes in 12 minutes)/(12 minutes)

∴ The number of cookies the factory makes in one minute = 36 cookies/(12 minutes) = 3 cookies/minute

The correct answer is 3 cookies

2. The number of cups of water that leak every minute = (The number of cups of water that leak in 1/4 minute) × (The number of 1/4 minute per minute)

The number of cups of water that leak every minute = 1/2 cup per 1/4 minute × 4_1/4 minute per minute

The number of cups of water that leak every minute = 1/2  × 4 = 2

The number of cups of water that leak every minute = 2 cups

3. 5 glazed donuts contains 750 calories

∴ 1 glazed donuts contains 750/5 = 150 calories

2 = 2 × 1 glazed donuts will contain 2 × 150 = 300 calories

4. The charge of the cell phone company for 2 months = $70

The charge of the cell phone company for 6 months = $210

The constant rate per month = The rate of change of the cell phones companys charges

∴ The constant rate per month = (210 - 70)/(6 - 2) = 140/4 = 35

The constant rate (per month) for the service = $35 per month

5. The formula to find the constant of a chart, k = y/x

6. A chart is not considered proportional if there is no constant (k)

Answer:

The answer is 0.45359237.

Step-by-step explanation:

I assume you are converting between kilogram and pound.

Answer:

2.20462

Step-by-step explanation:

1000 / 455 = 2.20462

Answer:

i think the correct answer is letter D im not sure

Step-by-step explanation:

Answer: 6.5 hours

Step-by-step explanation:

From the question, we are given the information that a truck has traveled 75 miles in 1.5 hours of driving. The miles pee hour travelled will be:

= 75 / 1.5

= 50 miles per hour

The number of hours that the truck will use to travel 325 miles will be:

= 325/50

= 6.5 hours

Answer:

????????????????

Step-by-step explanation:

what's the question