4. Which of the following types of functions is not considered a polynomial?
f. A cubic
g. A logarithmic
h. A quadratic
i. A linear

Answer:

y= -2x-8

Step-by-step explanation:

the slope: m= -2

17. The population of interest is U.S. adults (age 18 and over).
18. The sample being used is 1,012 randomly selected U.S. adults (age 18 and over).
19. The population parameter of interest is the percentage of U.S. adults (age 18 and over) who are dissatisfied with the quality of education students receive in kindergarten through grade 12. The correct notation for this parameter is p and the relevant statistic is 53%.
20. The interval estimate for the parameter of interest is 49% - 57%, which indicates that between 49% and 57% of U.S. adults (age 18 and over) are dissatisfied with the quality of education students receive in kindergarten through grade 12.

Answer:

D. 1,248 cubic units

Step-by-step explanation:

the volume of the rectangular prism = length*width*height = 12*8*13 = 1248 cubic units

Answer: D. 1,248 cubic units

Step-by-step explanation:

The formula for a rectangular prism volume is: V = Length x Width x Height.

In this question it already gives us all of the sides that we need! So all we need to do is just multiply all the sides together to get the volume.

12 x 8 x 13 = 1,248. Therefore D is correct!

Hope this helped you!

Answer:

88/96

Step-by-step explanation:

96 ÷ 12 = 8

8 × 11 = 88 (numerator)

88/96 = 11/12

Answer:

24 cm

Step-by-step explanation:

Answer:

I would have helped you but I just started learning about this

The equation of the line in slope-intercept form is y= 2x -6.

The slope-intercept form of a line is given by y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is 2, m= 2. Substitute m= 2 into y= mx +c:

y= 2x +c

Let's find the coordinate in which the line intersects the line 2x -3y= 6. Point of intersection refers to the point at which two lines cuts through each other i.e., the point lies on the graph 2x -3y= 6 and the line of interest.

2x -3y= 6

When x= 3,

2(3) -3y= 6

6- 3y= 6

3y= 6 -6

3y= 0

Divide both sides by 3:

y= 0

Coordinate that lies on the graph is (3, 0).

Substitute the point into the equation and solve for c:

y= 2x +c

When x= 3, y= 0,

0= 2(3) +c

0= 6 +c

c= -6

Substitute the value of c back into the equation:

Thus, the equation of the line in slope-intercept form is y= 2x -6.

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(a) The volume V of the box as a function of x is V = 4x^3-60x^2+200x

(b) The domain of V in interval notation is 0<x<5,

(c) The length L , width W, and height H of the resulting box that maximizes the volume is H = 2.113, W = 5.773, L= 15.773

(d) The maximum volume of the box is 192.421 cm^2.

In the given question,

A box is to be made out of a 10 cm by 20 cm piece of cardboard. Squares of side length cm will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top.

(a) We have to express the volume V of the box as a function of x.

If we cut out the squares, we'll have a length and width of 10-2x, 20-2x respectively and height of x.

So V = x(10-2x) (20-2x)

V = x(10(20-2x)-2x(20-2x))

V = x(200-20x-40x+4x^2)

V = x ( 200 - 60 x + 4x^2)

V = 4x^3-60x^2+200x

(b) Now we have to give the domain of V in interval notation.

Since the lengths must all be positive,

10-2x > 0 ≥ x < 5 and x> 0

So 0 < x < 5

(c) Now we have to find the length L , width W, and height H of the resulting box that maximizes the volume.

We take the derivative of V:

V'(x) = 12x^2-120x+200

Taking V'(x)=0

0 = 4 (3x^2-30x+50)

3x^2-30x+50=0

Now using the quadratic formula:

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

From the equationl a=3, b=-30, c=50

Putting the value

x=\(\frac{30\pm\sqrt{(-30)^2-4\times3\times50}}{2\times3}\)

x= \(\frac{30\pm\sqrt{900-600}}{6}\)

x= \(\frac{30\pm\sqrt{300}}{6}\)

x= \(\frac{30\pm17.321}{6}\)

Since x<5,

So x= \(\frac{30-17.321}{6}\)

x= 2.113

So H = 2.113, W = 5.773, L= 15.773.

d) Now we have to find the maximum volume of the box.

V = HWL

V= 2.113*5.773*15.773

V = 192.421 cm^3

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After 3 years of depreciation at a rate of 16% per year, the computer will be worth $886.93.

To determine the value of Cleo's computer after depreciating for 3 years at a rate of 16% per year, we need to calculate the depreciation amount for each year and subtract it from the original value.

First, let's calculate the depreciation for one year. The depreciation amount is obtained by multiplying the original value by the depreciation rate: $1,495 * 0.16 = $239.20.

After the first year, the value of the computer would be $1,495 - $239.20 = $1,255.80.

Now, we need to repeat this process for the next two years. For the second year, the depreciation amount would be $1,255.80 * 0.16 = $200.93. Subtracting this from the value after the first year gives us $1,055.87.

For the third year, the depreciation amount would be $1,055.87 * 0.16 = $168.94. Subtracting this from the value after the second year gives us $886.93.

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Answer:

Step-by-step explanation:

3 dollars

Answer:

The slope in this situation can be determined by creating a linear equation that relates the revenue earned from walking dogs to the number of dogs walked. If we assume that the number of dogs walked is represented by the variable x, then the revenue earned (in dollars) can be represented by the equation:

where y is the revenue earned and -5 represents the cost of buying treats.

The slope of this equation is 3, which represents the rate of change in revenue for each additional dog walked. In other words, for each additional dog walked, the revenue earned increases by $3.

To solve the problem, we need to find the total cost function, total revenue function, profit function, and determine the optimal output level that maximizes the profit.

To determine the total cost function, we need to integrate the marginal cost function. Integrating 15x² - 94x + 1141 with respect to x gives us the total cost function T(x) = 5x³ - 47x² + 1141x + C, where C is the constant of integration. Since the cost when not producing output is 50, we can substitute T(0) = 50 into the total cost function and solve for C to get the specific equation for the total cost function. The total revenue function is given by the equation T(x) = MR(x) * x, where MR(x) is the marginal revenue function. Substituting the given marginal revenue function 1741 - 2x into the equation gives us T(x) = (1741 - 2x) * x = -2x² + 1741x.

The profit function is obtained by subtracting the total cost function from the total revenue function. So, P(x) = T(x) - Tc(x), where Tc(x) is the total cost function. Substituting the total cost function and total revenue function into the equation gives us P(x) = (-2x² + 1741x) - (5x³ - 47x² + 1141x + C). To determine the optimal output level that maximizes the profit, we need to find the critical points of the profit function. We take the derivative of the profit function with respect to x, set it equal to zero, and solve for x. The value of x that maximizes the profit represents the optimal output level.

To perform the second-order test, we take the second derivative of the profit function with respect to x, denoted as P''(x). The second derivative helps determine whether the critical point found in part D is a maximum, minimum, or inflection point. By analyzing the sign of P''(x) at the critical point, we can determine the nature of the maximum profit. By following these steps, we can find the total cost function, total revenue function, profit function, determine the optimal output level, and perform the second-order test to analyze the profit-maximizing behavior of the firm.

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Answer:

2 7/24 gallons

(sorry if its wrong)

Answer:

74046

Step-by-step explanation:

Permutations = \(_np_r=\frac{n!}{(n-r)!}\)

where r = choice of things from a set ( in this case the 3 places ) so r = 3

and n = amount of things ( in this case the 43 people ) so n = 43

We then plug in the values of n and r in the permutations formula

\(\frac{43!}{(43-3)!} =74046\)

Hence the answer is 74046

Answer:

Jimmy spent 4/25 of his $5,000 budget on hotel accommodation, which is equal to $2,000. He spent 3/20 of his budget on airfare, which is equal to $1,500, 1/10 of his budget on shopping, which is equal to $500, and 1/5 of his budget on the remainder, which is equal to $1,000. This means that Jimmy spent $2,000 on hotel accommodation, which is $500 more than he spent on food.

Answer:

(1) P (z > 1.38) = 0.08379

(2) P (z < - 0.42) = 0.33724

(3) P (z < 3.04) = 0.99882

(4) P (z > -2.43) = 0.00755

Step-by-step explanation:

(1)

Compute the value of P (z > 1.38) as follows:

\(P(z>1.38)=1-P(z<1.38)\\=1-0.91621\\=0.08379\)

(2)

Compute the value of P (z < -0.42) as follows:

\(P(z<-0.42)=1-P(z<0.42)\\=1-0.66276\\=0.33724\)

(3)

Compute the value of P (z < 3.04) as follows:

\(P(z<3.04)=0.99882\)

(4)

Compute the value of P (z > -2.43) as follows:

\(P(z>-2.43)=1-P(z<2.43)\\=1-0.99245\\=0.00755\)

Answer:

C

Step-by-step explanation:

Try using a scratch piece of paper to graph the points of each table to see which one would have a negative slope. Or use the formula y1-y2/x2-x1 to find the slope and see which one is negative.

Answer:

6

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

Answer:

equation:

2( x - 3 ) = 2

Step-by-step explanation:

you can also solve for x:

2(x-3) = 2

2x - 6 = 2

2x = 2 + 6

2x = 8

x = 8/2

x= 4

Answer:

A

Step-by-step explanation:

Option a, adjacency matrix. An adjacency matrix is a two-dimensional array that represents a graph's edges, where the rows and columns correspond to the vertices of the graph. If there is an edge between two vertices, the corresponding element in the matrix is set to 1, otherwise it is set to 0. This implementation is useful for dense graphs, where the number of edges is close to the maximum possible number of edges.

An adjacency matrix is a simple and efficient way to represent graphs that have a large number of vertices and edges. It allows for fast lookups of the existence of an edge and is useful for various algorithms that require graph representation. However, it is not suitable for sparse graphs, where the number of edges is much smaller than the maximum possible number of edges. In such cases, an adjacency list would be more appropriate.

The common implementation of a graph that uses a two-dimensional array to represent the graph's edges is called an adjacency matrix.

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The equation to model the value of Maureen's car x years after purchase can be written in the form of y = a(b)^x , where y is the value of the car, x is the number of years after purchase, and a and b are constants.

Using the information given, we can find the values of a and b.

We know that the value of the car one year after purchase is $24,403.

So, we can substitute this value into the equation:

24403 = a(b)^1

We also know that the car's original value is $26,525

So we can substitute this value into the equation:

26525 = a

Now we can use these two equations to find the value of b

24403 = 26525 (b)^1

b = 24403 / 26525

b = 0.9153

So the final equation is:

y = 26525 (0.9153)^x

where y is the value of the car, x is the number of years after purchase, and a = 26525 and b = 0.9153

The correct line of code that completes this operator which transforms a Point by dx and dy is shown below: Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Note that the function operator+ takes two arguments: an integer dx and an integer dy.

The function returns a point, which is created by adding dx to x and dy to y.The completed code is shown below:class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Therefore, the correct answer is: `Point(x_+dx,y_+dy)`

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We have shown that cX is exponential with parameter λ/c when X is an exponential random variable with parameter λ and c > 0.

To show that cX is exponential with parameter λ/c when X is an exponential random variable with parameter λ, and c>0, we will use the CDF method:

1. Define the transformation: Let Y = cX be a function of the random variable X, where c > 0.

2. Find the CDF of Y: We want to find P(Y ≤ y), which is equal to P(cX ≤ y) or P(X ≤ y/c).

3. Express CDF of Y in terms of X: Since P(X ≤ y/c) is the CDF of X at y/c, we have FY(y) = FX(y/c).

4. Find the PDF of X: The exponential distribution has the PDF fX(x) = λ * exp(-λx) for x ≥ 0.

5. Differentiate the CDF of Y to find its PDF: To find fY(y), we differentiate FY(y) with respect to y. Using the chain rule, we have:

fY(y) = d(FX(y/c))/dy = fX(y/c) * (1/c)

6. Substitute the PDF of X: Now, we replace fX(y/c) with its exponential form λ * exp(-λ(y/c)):

fY(y) = (λ * exp(-λ(y/c))) * (1/c)

7. Simplify the expression: fY(y) = (λ/c) * exp(-λ(y/c))

This is the PDF of an exponential distribution with parameter λ/c. Therefore, cX is exponential with parameter λ/c when X is an exponential random variable with parameter λ and c > 0.

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Answer: 49/387420489 P^8

Step-by-step explanation: Simplify the expression.

Answer:

x = 2 and y = 3

Step-by-step explanation:

To find the x- intercept, let y = 0 in the equation and solve for x

3x + 2(0) = 6

3x + 0 = 6

3x = 6 ( divide both sides by 3 )

x = 2 ← x- intercept

To find the y- intercept, let x = 0 in the equation and solve for y

3(0) + 2y = 6

0 + 2y = 6

2y = 6 ( divide both sides by 2 )

y = 3 ← y- intercept

Answer:

I think B

Step-by-step explanation:

It's not a square when you cut it since after you cut one side the length would by 4cm by 5cm so there for it's not a square but a rectangle

sorry if it's wrong

Answer:

50 miles because yahhh

Step-by-step explanation:

300 ➗ 6

a.) The mode for the chart is 24.

b.) The probability that the winning score will be 25 = 7/50

C.)The probability that the winning score will be 23 or more = 37/50.

The number of times the game is played = 50 times

The number of games that showed the score of 25= 7

The probability of winning a score of 25 = 7/50

The scores that are 23 and above; 10+14+7+4+2= 37

The probability of winning a score of 23 and above = 37/50

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