(n^9)^4(n^3) please help. 10 pts for answer

The cost of the rebate will be $20 million. Therefore, option B is correct.

To calculate  the cost of the rebate:

Given information:

  - Current price of the minivan: $31,000

  - Price after the rebate: $30,000

  - Current sales: 25,000 vehicles

  - Estimated sales after the rebate: 29,000 vehicles

  - Profit margin per vehicle: $5,000

Increase in sales = Estimated sales after rebate - Current sales

= 29,000 vehicles - 25,000 vehicles

= 4,000 vehicles

Cost of the rebate = Increase in sales * Profit margin per vehicle

= 4,000 vehicles * $5,000 per vehicle

= $20,000,000

Therefore, the cost of the rebate will be $20 million. This means that Honda would need to spend $20 million to provide the $1,000 rebate on each of the 4,000 additional vehicles sold.

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The complete question is:

Honda Motor Company is considering offering a $1,000 rebate on its minivan, lowering the vehicle's price from $31,000 to $30,000. The marketing group estimates that this rebate will increase sales over the next year from 25,000 to 29,000 vehicles.Suppose Honda's profit margin with the rebate is $5,000 per vehicles. What will be the cost of the rebate? A $4 million B. $20 million C $25 million D. $29 million

The maximum profit is achieved when approximately 312.5 units of lab equipment are sold.

The revenue function R(x) represents the amount of money the company earns from selling x units of lab equipment. It is given by the equation:

R(x) = -0.32x^2 + 270x

The costs function C(x) represents the expenses incurred by the company for producing and selling x units of lab equipment. It is given by the equation:

C(x) = 70x + 52

To determine the company's profit, we subtract the costs from the revenue:

Profit = Revenue - Costs

P(x) = R(x) - C(x)

Substituting the given revenue and costs functions:

P(x) = (\(-0.32x^2 + 270x)\) - (70x + 52)

Simplifying the equation:

P(x) = -0.32x^2 + 270x - 70x - 52

P(x) = -\(0.32x^2\)+ 200x - 52

The profit function P(x) represents the amount of money the company makes from selling x units of lab equipment after deducting the costs. It is a quadratic function with a negative coefficient for the x^2 term, indicating a downward-opening parabola. The vertex of the parabola represents the maximum profit the company can achieve.

To find the maximum profit and the corresponding number of units sold, we can use the vertex formula:

x = -b / (2a)

For the profit function P(x) = -\(0.32x^2 + 200x\)- 52, a = -0.32 and b = 200.

x = -200 / (2 * -0.32)

x = 312.5

Therefore, the maximum profit is achieved when approximately 312.5 units of lab equipment are sold.

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Answer:

2.4 feet long

Step-by-step explanation:

12/5, 12 feet long divided by 5 feet

Answer:

2.4

Step-by-step explanation:

You would divide the 12 by 5 because you need 5 pieces that are equal

The linear approximation of f(x)= sqrt(4-x) at a=0 can be used to approximate sqrt(3.9) and sqrt(3.99) as 0.0500 and 0.0050, respectively.

The linear approximation of the function f(x)= sqrt(4-x) at a=0 is given by:

L(x) = f(a) + f'(a)(x-a)
    = sqrt(4-0) + (-1/2)(x-0)
    = 2 - 0.5x

To approximate the numbers sqrt(3.9) and sqrt(3.99) using L(x), we need to plug in the values of x and round the answer to four decimal places.

For sqrt(3.9), we have:

L(3.9) = 2 - 0.5(3.9)
      = 0.05

Rounding to four decimal places, we get:

L(3.9) ≈ 0.0500

For sqrt(3.99), we have:

L(3.99) = 2 - 0.5(3.99)
       = 0.005

Rounding to four decimal places, we get:

L(3.99) ≈ 0.0050

Therefore, the linear approximation of f(x)= sqrt(4-x) at a=0 can be used to approximate sqrt(3.9) and sqrt(3.99) as 0.0500 and 0.0050, respectively.

To find the linear approximation L(x) of the function f(x) = sqrt(4-x) at a=0, we need to calculate the value of the function and its derivative at a=0:

f(a) = f(0) = sqrt(4-0) = sqrt(4) = 2

Now, we find the derivative of f(x) with respect to x:
f'(x) = d/dx(sqrt(4-x)) = -1/(2*sqrt(4-x))

Next, evaluate f'(x) at a=0:
f'(0) = -1/(2*sqrt(4-0)) = -1/(2*2) = -1/4

The linear approximation L(x) is given by:
L(x) = f(a) + f'(a)(x-a)
L(x) = 2 - (1/4)(x-0) = 2 - (1/4)x

Now, we use L(x) to approximate sqrt(3.9) and sqrt(3.99):
L(0.1) = 2 - (1/4)(0.1) = 1.9750
L(0.01) = 2 - (1/4)(0.01) = 1.9975

So, the linear approximations of sqrt(3.9) and sqrt(3.99) are 1.9750 and 1.9975, respectively.

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The wavelength of the n = 4 standing wave is 3.5cm.

Standing Waves:

A standing wave is a stationary wave, which means that the wave oscillates in time but the peak amplitude does not move in space. This can happen in a stationary medium from an interference due to two waves traveling in opposite directions. For a harmonic wave, the string's displacement in the y-direction from the x-position and time t can be calculated by using the expression

y(x ,t)=2Asin(2πxλ)cos(ωt)

where A is the maximum displacement in the y-direction, λ

is the wavelength, and ω is the angular frequency. Given a taut string of length L, and assuming the the driving force is at x=0, the boundary conditions are

y(0,t)=0y(L, t)=2Asin(2πLλ)cos(ωt)=0

Given the latter boundary condition, a standing wave occurs when sin(2πLλ)=0=sin(nπ). The condition for the standing wave is then of the form n=2Lλ.

The condition where the standing wave occurs is given by the expression n=4Lλ, where n is a positive integer value, L is the string length, and λ is the wavelength. We calculate the wavelength of an n=4 standing wave as follows:

λ=4Ln=4(7 cm) / 2

= 14 /2

= 3.5cm.

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The correct answer is the Additive rate of change.

We have given that,

A data set contains an independent and a dependent variable.

Let x be the independent variable and y be the dependent variable.

To write the  relationship we will have :

y = kx + c

Where k and c are constants.

In the case of a line, the constant k is the gradient.

A multiplicative change is a log form and it is given by :

Y = Ck^x

The relationship is not linear but exponential.

The correct answer is the Additive rate of change.

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Answer:

an = 2n + 10

Step-by-step explanation:

use formula an = a+( n -1)d

where , a = first term

n = number of terms

d = common difference

Here , a = 12 , let's suppose n = N and d = 14-12=2

so, an = 12 + ( N -1)2

an = 12+2N - 2

an = 2N +10

an = 2(N+5) is the equation for the nth term of arithmetic sequence of 12 , 14 , 16, 18-------

2x + 17 grows no faster than 3x as x approaches infinity.

To show that 2x + 17 is O(3x), we need to find two positive constants, C and k, such that:

|2x + 17| <= C|3x| for all x > k

We can start by simplifying the left-hand side:

|2x + 17| = 2x + 17 (since x is always non-negative)

Next, we can simplify the right-hand side:

|3x| = 3x

Now, we need to find C and k that satisfy the inequality:

2x + 17 <= C*3x for all x > k

Dividing both sides by 3x, we get:

(2/3) + (17/3x) <= C for all x > k

Since (2/3) is a constant, we only need to find a value of k such that (17/3x) is less than some other constant. Let's choose k = 1, then:

(17/3x) < 6 for all x > 1

So, we can choose C = 6 and k = 1. Therefore, we have shown that:

|2x + 17| <= 6|3x| for all x > 1

This satisfies the definition of 2x + 17 being O(3x), which means that 2x + 17 grows no faster than 3x as x approaches infinity.

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Answer:

the ansewr is b

Step-by-step explanation:

Answer:

240 miles

Step-by-step explanation:

If x is 4 hours and d(x) represents the amount of distance traveled, then we would choose the expression that allows us to find d(x).

Since x = 4 and 4 is greater than 2 but less than 5, we will choose the second expression 2 < x \(\leq\) 5.

We will then plug our x-value (4) into the expression to find d(x).

If d(x) = 65x - 20

d(x) = 65(4) - 20

d(x) = 260 - 20

dx) = 240 miles

Hi there.

The answer is 240 miles.

Explanation:

As our x-term is represented as hours. Meaning our d(x) is represented as the distance.

Travel in 4 hours, meaning we have to substitute x = 4.

Both functions have given and specified domains. Which function doesn't have x = 4 as a part of the domain. That is the first function, thus the first function is out.

Our main function is currently —

\(d(x) = 65x - 20\)

As x is represented as hours. Substitute x = 4 in the function.

\(d(4) = 65(4) - 20 \\ d(4) = 260 - 20 \\ d(4) = 240\)

Thus, the answer is d(4) = 240 miles.

The mathematical statement is an inequality that can be written as:

26  > k

Here we have the following mathematical statement:

"26 is more than k"

This type of statement is what we know as an inequality, this is a comparation between two values.

Here, the statement says that the number 26 is a number larger than k, which is a variable.

This statement will be written as:

26 > k

Where the symbol ">" means that the thing in the left is larger than the thing in the right,

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Answer:

Step-by-step explanation:

To find the angle subtended by an arc of length 22/3 cm at the center of a circle with radius 7 cm, we can use the formula:

angle (in radians) = arc length / radius

First, we need to convert the arc length to radians by dividing it by the radius:

22/3 cm / 7 cm = 22/21 radians

Now we can convert radians to degrees by multiplying by 180/π:

angle (in degrees) = (22/21) x (180/π) ≈ 190.8 degrees

Therefore, the angle subtended by an arc of 22/3 cm at the center of a circle with radius 7 cm is approximately 190.8 degrees.

Answer:

slope is 3/2

extra info:

y-interccept is -3

equation of the line is y= 3/2x - 3

To find a polynomial function with integer coefficients that has the given zeros, we can use the factor theorem and the zero-product property. Therefore, the function is f(x) = (x + 2)(x - 1)(x - 3) = x^3 - 2x^2 - 5x + 6 .

In summary, to find a polynomial function with integer coefficients that has the given zeros, we can use the factor theorem and the zero-product property to obtain the factors of the polynomial, and then multiply them together to get the polynomial function.

For example, suppose we want to find a polynomial function with integer coefficients that has zeros at -2, 1, and 3. We can start by using the factor theorem to obtain the factors of the polynomial:

(x + 2)(x - 1)(x - 3)

We can then multiply these factors together to obtain the polynomial function:

f(x) = (x + 2)(x - 1)(x - 3) = x^3 - 2x^2 - 5x + 6

This is a polynomial function with integer coefficients that has zeros at -2, 1, and 3. Note that we can also check this by using the zero-product property, which states that if a product of factors is equal to zero, then at least one of the factors must be zero. We can plug in each of the zeros (-2, 1, and 3) into the polynomial function and verify that the result is zero, which confirms that these are indeed the zeros of the polynomial.

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The 11-4 skills practice areas of regular polygons and composite figures involve finding the areas of different geometric shapes using specific formulas and methods.

To find the area of regular polygons, you can use the formula (1/2) x apothem x perimeter.

For composite figures, you can break the shape into smaller, more manageable shapes like rectangles, triangles, or circles, and then calculate the area of each component before adding them together.

Hence, The 11-4 skills practice areas of regular polygons and composite figures teach you to find areas using the appropriate formulas and methods, improving your geometry understanding and problem-solving abilities.

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Answer:

5/x+1=7/x-2

x=2/3

Decimal form: 0.6

Step-by-step explanation:

The required coordinate of the vertex R is given as (-4, 0).

Given that,
Three vertices of parallelogram PQRS are P(1, 4), Q(3, 2) and S(−2, −2). Identify the coordinates of vertex R.

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

Here,
Draw the parallelogram with the help of the three points,
So from the graph, the coordinate of Point R is (-4,0).

Thus, the required coordinate of the vertex R is given as (-4, 0).

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Answer:

Wat the heck?

Step-by-step explanation:

Is this hw cus I feel bad for ya!

Answer:

3. I think they save money.

Answer:

392

Step-by-step explanation:

sequence is generalized as

\(a_n=6n-4\)

to find 66th term substitute n=66

\(a_n=6*66-4\\\)

After solving the equations, the cost of parasailing will be 99.75 and the cost of surfing will be equal to 75.25.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.

Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

The given information in the question is,

Assume the cost of parasailing is x and the cost of surfing is y.

x + y = 175

Total number of people in Parasailing = 16 people

Total number of people in Surfing = 20 people

Total collection done by resort = $3,101

16x + 20y = 3,101

So, the equations will be,

16x+20y=3,101            (i)

x + y = 175                  (ii)

Now, multiply the equation (ii) by 16 and solve the equation,

16x+20y=3,101

16x+16y= 2,800

4y = 301

Now, find the value of y,

y = 301/4

y = 75.25

Then, the value of x will be equal to,

x + y = 175

x+75.25 =175

Solve for x:

x=175-72.25

x = 99.75

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It seems that your question is not complete, the complete question should be:

A vacation resort offers surfing lessons and parasailing. If a person takes a surfing lesson and goes parasailing, she will pay $175. There are 16 people who go parasailing and 20 people who take surfing lessons. On a Friday, the resort collects a total of $3,101 for activities. How much does each activity cost?

Answer:

I need

Step-by-step explanation:

This

Answer:

B. 61

Step-by-step explanation:

Answer:

15 is 50% greater than 10.

10 is 33 1/3% less than 15

2(2x - 8) should be Gina's expression as it is not equivalent to 4x - 8.

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Given, Steven and Gina each wrote an expression, but only Steven’s expression is equivalent to 4x - 8.

∴ Gina's expressions should be the one that is not equivalent to  4x - 8.

After observing the given options and applying distributive properties we conclude that 2(2x - 8) is Gina's expression as it is 4x - 16.

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\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Let's solve ~

Answer:

4√3

Step-by-step explanation:

\( \\ \sf \sqrt{48} \)

\( \\ \sf = \sqrt{2 \times 2 \times 2 \times 2 \times3 } \)

\( \\ \sf = \sqrt{ {2}^{4} \times 3 } \)

\( \\ \sf = \sqrt{ {2}^{4} } \sqrt{3} \)

\( \\ \sf = {2}^{ \frac{4}{2} } \sqrt{3} \)

\( \\ \sf = {2}^{2} \sqrt{3} \)

\( \\ \sf = 4 \sqrt{3} \)

Answer:

D

Step-by-step explanation:

every time the mile increases he burns more calories you can see that when you look at it closely

The calculator solves the triangle state by all three sides (thus SSS). Given the sizes of the three sides, we can calculate the sizes of all three angles in the triangle.

We will use The Law of Cosines to solve for the angles. For the endmost angle, we can use the Sum of Angles Rule to find the final answer.

We can straight use Heron's formula to calculate the area of a triangle.

If you know the main property of a triangle, use an equilateral triangle, isosceles or right triangle calculator.

In the SSS calculator just put the value and click on solve button it will automatically solve the triangle.

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Answer:

x*(3x^2-7x-24)

Step-by-step explanation:

It is not possible to determine the level of water in the tank using only the given information. To determine the level of water in the tank, we need to know either the height of the water column or the total pressure at the bottom of the tank, which includes the pressure due to the water column and the pressure due to the atmosphere.

Therefore, we can't fill the blank with any value since the problem does not provide any information regarding it. In order to find the level of water in the tank, we need to know either the height of the water column or the total pressure at the bottom of the tank, which includes the pressure due to the water column and the pressure due to the atmosphere.

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