choose the equation for the red graph

Answer:

\(Volume = 7x^3y+48x^2y^2-7xy^3 -35x^2-240xy-35y^2\)

Step-by-step explanation:

Given

Shape: Cube

Dimension: (x+7y), (7x-y) and (xy-5).​

Required

Determine the volume

The volume is calculated by multiplying the dimensions:

\(Volume = (x+7y) * (7x-y) * (xy-5)\)

Evaluate the first 2 brackets

\(Volume = [x(7x-y)+7y(7x-y)] * (xy-5)\)

\(Volume = [(7x^2-xy)+(49xy-7y^2)] * (xy-5)\)

\(Volume = [7x^2-xy+49xy-7y^2] * (xy-5)\)

\(Volume = [7x^2+48xy-7y^2] * (xy-5)\)

Open brackets

\(Volume = xy[7x^2+48xy-7y^2] -5[7x^2+48xy-7y^2]\)

\(Volume = 7x^3y+48x^2y^2-7xy^3 -35x^2-240xy-35y^2\)

Answer:

77.3

Step-by-step explanation:

Cos = Adjacent/Hypotenuse

Adjacent = 2.25 & Hypotenuse = 10.25

So that means...

Cos = 2.25/10.25

*When you type in the calculator type Cos-1 (2.25/10.25).

The answer is 77.319....

When you round it, it would become 77.3°.

Hope it's helpful.

Answer:

Step-by-step explanation:

Step one:

Given data

the length of the rope =2yards----the radius

(Note that the goat can only move in a circular path)

the area the goat can eat is the area of the circle it can cover

1. A= πr^2

A=3.142*2^2

A=3.142*4

A=12.57square yards

Step two:

given that the area A=30 square yards

we want to solve for the radius r

A= πr^2

30=3.142*r^2

r^2=30/3.142

r^2=9.55

r=√9.55

r=3.09 yard

The length is approximately 3 yards

Answer:

It would be most appropriate to use the mode for categorical data, such as favorite ice cream flavor. This is because you can't use mean or median for flavors such as chocolate or vanilla, so mode would make the most sense there.

The value of k is 1, which is the value of function g(x) (and f(x)) when x = -3 or x = 3.

We can determine the type of transformation and the value of k for each of the functions using the tables provided for f(x) and g(x).

g(x) = 3f(x) (x)

Here, there occurs a vertical stretch/compression transformation. The function g(x) is a three-fold vertical expansion or contraction of f(x).

G(x) has a value of 4, which is identical to the value of k,

whether x = -6 or = 6.

g(x) = f(3x) (3x)

Here, there occurs a horizontal stretch/compression transformation. A horizontal stretch or compression of f(x) by a factor of 1/3 results in the function g(x).

When x = -3 or x = 3,

the value of k is 1, which is also the value of g(x) and f(x).

g(x) = (1/3)f(x) (x)

Here, there occurs a vertical stretch/compression transformation.

A vertical stretch or compression of f(x) by a factor of 1/3 results in the function g(x).

G(x) has a value of 4, which is identical to the value of k,

whether x = -6 or = 6.

g(x) = f(x/3)

Here, there occurs a horizontal stretch/compression transformation. The function g(x) is a three-fold horizontal stretching or compression of f(x). When x = -3 or x = 3, the value of k is 1, which is also the value of g(x) and f(x).

To know more about quadratic function visit:

brainly.com/question/18958913

#SPJ1

If in a ping pong tournament consisting of twelve teams, each team plays every other team once, there are 66 games in the ping pong tournament.

In a ping pong tournament consisting of 12 teams, each team will play against all the other teams exactly once. Therefore, each game will involve two teams, and each team will play a total of 11 games (since there are 11 other teams to play against).

To count the total number of games in the tournament, we can use the formula:

total number of games = (number of teams x number of games per team) / 2

Since there are 12 teams and each team plays 11 games, we have:

total number of games = (12 x 11) / 2

total number of games = 132 / 2

total number of games = 66

It is important to divide by 2 at the end of the formula since each game involves two teams, so the total number of games would be counted twice if we simply multiplied the number of teams by the number of games per team.

To learn more about tournament games click on,

https://brainly.com/question/869875

#SPJ4

Answer:

x = 34

Step-by-step explanation:

-8 = dropped 8 degrees

26 = 26 degrees at midnight

x = temperature at 6

x - 8 = 26

(add 8 to both sides) x = 34

The closest point to Z that lies on the plane X – y + z = 0 is the point (-2/3, 2/3, -2/3).

To find the closest point to Z that lies on the plane X – y + z = 0, we need to find the projection of the vector Z onto a normal vector of the plane.

The normal vector of the plane is the vector (1, -1, 1) since the coefficients of X, y, and z in the plane equation are 1, -1, and 1, respectively.

The projection of Z onto the normal vector can be found using the dot product:

\(proj_n(Z) = (Z . n) * n / |n|^2\)

where Z . n is the dot product of Z and the normal vector n, and |n|^2 is the magnitude squared of n.

Calculating the dot product:

Z . n = (-1)(1) + (-2)(-1) + (1)(1) = -2

Calculating the magnitude squared of n:

\(|n|^2 = 1^2 + (-1)^2 + 1^2 = 3\)

Substituting these values into the projection formula, we get:

\(proj_n(Z) = (-2) * (1, -1, 1) / 3 = (-2/3, 2/3, -2/3)\)

Therefore, the closest point to Z that lies on the plane X – y + z = 0 is the point (-2/3, 2/3, -2/3).

Learn more about closest point

brainly.com/question/10600452

#SPJ11

Answer:

Omar would have 24 apples and 6 bananas

Step-by-step explanation:

We know that Omar has 4 times as many apples as bananas., which means a is the number of apples and b is the number of bananas.

a=4b

We also know that Omar has 30 fruits in total:

a+b=30

So we have two equations here. We solve them by substituting for a in the second equation with a=4b from equation 1 as shown:

a=b=30

4b+b=30

5b=30

b=6

Omar has 6 bananas. Great!

Now we substitute for apples. We already know that Omar has 6 bananas now, so all we have to do is:

a=4(6)

a=24

Omar has 24 apples.

So Omar has 6 bananas, and 24 apples! Hope this helps! :)

The equation used to determine the number of days, x, required for the substance to decay to 63 grams is: x ≈ 83.60

To determine the number of days, x, required for a radioactive substance to decay to 63 grams, we can use the exponential decay formula. The equation that represents the decay of a radioactive substance over time is:

N(t) = N₀ * (1/2)^(t/h)

Where:

N(t) is the remaining mass of the substance at time t

N₀ is the initial mass of the substance

t is the time elapsed

h is the half-life of the substance

In this case, we have an initial mass of 475 grams, and we want to find the number of days required for the substance to decay to 63 grams. We can set up the equation as follows:

63 = 475 * (1/2)^(x/20)

To solve for x, we can isolate the exponential term on one side of the equation:

(1/2)^(x/20) = 63/475

Next, we can take the logarithm (base 1/2) of both sides to eliminate the exponential term:

log(base 1/2) [(1/2)^(x/20)] = log(base 1/2) (63/475)

By applying the logarithmic property log(base b) (b^x) = x, the equation simplifies to:

x/20 = log(base 1/2) (63/475)

Finally, we can solve for x by multiplying both sides of the equation by 20:

x = 20 * log(base 1/2) (63/475)

Using a calculator to evaluate log(base 1/2) (63/475) ≈ 4.1802, we find:

x ≈ 20 * 4.1802

x ≈ 83.60

For more such questions on equation visit:

https://brainly.com/question/22688504

#SPJ8

Answer:

1.57 x 432 = 678.24

Step-by-step explanation:

math.

Brainliest please! I am so close to my next rank! Thank you, and have a great day!

a) Probability of getting a sum less than 9 is 5/18

b) Probability of getting a sum greater than or equal to 10 is 1/6

c) Probability of getting a 3 on one die or on both dice is 2/9.

a) Sum less than 9: Out of 36 possible outcomes, the following combinations are included in a sum less than 9: (1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (4, 1).

There are a total of 10 successful outcomes.

Therefore, the probability of getting a sum less than 9 is: P(A) = 10/36 = 5/18b) Sum greater than or equal to 10: Out of 36 possible outcomes, the following combinations are included in a sum greater than or equal to 10: (4, 6), (5, 5), (5, 6), (6, 4), (6, 5), (6, 6).

There are a total of 6 successful outcomes.

Therefore, the probability of getting a sum greater than or equal to 10 is: P(B) = 6/36 = 1/6c) A 3 on one die or on both dice:

The combinations that include a 3 on one die or both are: (1, 3), (2, 3), (3, 1), (3, 2), (3, 3), (4, 3), (5, 3), and (6, 3).

There are 8 successful outcomes. Therefore, the probability of getting a 3 on one die or on both dice is: P(C) = 8/36 = 2/9

Therefore, the simple answer to the following questions are:

a) Probability of getting a sum less than 9 is 5/18

b) Probability of getting a sum greater than or equal to 10 is 1/6

c) Probability of getting a 3 on one die or on both dice is 2/9.

learn more about probability here

https://brainly.com/question/13604758

#SPJ11

Answer:

96/4= $24 dollars per person

Step-by-step explanation:

(a) The break-even point in units for the proposal by Vendor A = 6250 units

(b) The break-even point in units for the proposal by Vendor B = 6667 units.

In the question ,

it is given that ,

the fixed cost for proposal A \(=\) $50000

the fixed cost for proposal B is = $80000

the  variable cost for proposal A is = $14

the variable cost for proposal B is = $10

the revenue generated by each unit is = $22

So , the break even points for both the proposal can be calculated using the formula ,

break even point = (fixed cost)/(contribution margin)

Substituting the values from above ,

we get  ,

Break even point for proposal A is

break even point \(=\) 50000/(22 - 14)

= 50000/8

= 6250

Break even point for proposal B is

break even point \(=\) 80000/(22 - 10)

= 80000/12

= 6667

Therefore , break even point for proposal A is 6250 units and for proposal B is 6667 units .

The given question is incomplete , the complete question is

Cortez Manufacturing intends to increase capacity by overcoming a bottleneck operation by adding new equipment. Two vendors have presented proposals. The fixed costs are $50,000 for proposal A and $80,000 for proposal B. The variable cost is $14.00 for A and $10.00 for B. The revenue generated by each unit is $22.00.

(a) The break-even point in units for the proposal by Vendor A =       units (b) The break-even point in units for the proposal by Vendor B =       units.

Learn more about Break Even here

https://brainly.com/question/14743787

#SPJ4

The slope of a linear equation represents the steepness of the line. A linear equation with a slope of -3 is less steep than one with a slope of -5.

A higher absolute value of the slope indicates a steeper line, while a lower absolute value indicates a less steep line. In this case, the slope of -3 is closer to 0 than the slope of -5, indicating that the line with a slope of -3 is less steep than the line with a slope of -5.

To visualize this, imagine two lines on a coordinate plane. The line with a slope of -5 will have a steeper incline or decline compared to the line with a slope of -3. The magnitude of the slope determines the rate of change of the line. Since -5 has a greater absolute value than -3, the line with a slope of -5 will have a steeper slope and a higher rate of change compared to the line with a slope of -3.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ11

Answer:

b=-3/4 or b=-0.75

Step-by-step explanation:

\(2(-2b+3)=9\)

\(2b+3=\cfrac{9}{2}\)

\(-2b=\cfrac{9}{3} -3\)

\(-2b=\cfrac{3}{2}\)

\(b=-\cfrac{\frac{3}{2} }{2}\)

\(b=-\cfrac{3}{2\times 2}\)

\(b=-\cfrac{3}{4}\)

Hope it helps! :)

Answer:

C. Zeros at x = 2 ± √3, and D. The zeros are the hot dog prices that give $0.00 profit (no profit).

The value of the digit 5 in the tenths place of 3.545 is 100 times the value of the digit 5 in the thousandths place.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have:

Evan has a bag of apples that weighs 3.545 pounds.

The value of the digit 5 in the tenths place of 3.545 is 0.500

The value of the digit 5 in the thousandths place of 3.545 is  0.005

Take the ratio of both values:

tenths place value/thousandths place value =  0.500/0.005

tenths place value/thousandths place value =  100

tenths place value = 100(thousandths place value)

Thus, the value of the digit 5 in the tenths place of 3.545 is 100 times the value of the digit 5 in the thousandths place.

Learn more about the ratio here:

brainly.com/question/13419413

#SPJ1

The answer is D. (7,8)

You are able to count from 0 to ten, and you always put the x number first!

Hope this helps :)

Answer:

30

this sequence term is counting by 10's

Answer:

Step-by-step explanation:

S=24000x(1.043)^t

Answer:

The Answer is A

Step-by-step explanation:

-8 < 2x-4<4

2x-4<4

-8+4< (2x-4)+4

(2x-4)+4 <4+4

In order to solve these simultaneous inequalities, we need to write them as two separate inequalities, and find the values of x that satisfy both of them.

2x-4<4 In order to solve this linear inequality, we need to group all the variable terms on one side, and all the constant terms on the other side of the inequality.

For example,

- term -4 , will be moved to the left side.

Notice that a term changes sign when it 'moves' from one side of the inequality to the other.

The result is:

A

Answer: A

Step-by-step explanation:

-8 < 2x-4<4

2x-4<4

-8+4< (2x-4)+4

(2x-4)+4 <4+4

In order to solve these simultaneous inequalities, we need to write them as two separate inequalities, and find the values of x that satisfy both of them.

2x-4<4 In order to solve this linear inequality, we need to group all the variable terms on one side, and all the constant terms on the other side of the inequality.

For example,

- term -4 , will be moved to the left side.

Notice that a term changes sign when it 'moves' from one side of the inequality to the other.

The result is:

A

Answer:

900 feet squared

Step-by-step explanation:

15 x 10 x 6 = 900

Answer:

5

Step-by-step explanation:

You should do cross multiplication.

Multiply 3 by 10 and 6 by 'h'

So 3×10=6h

6h=30

h=30÷6=5

Answer:

-40

Step-by-step explanation:

Just multiple the 2 numbers like usual than add the negative to your answer

Answer:

26r^2 + 36r.

Step-by-step explanation:

The median number of hours spent practicing per week during the nine consecutive weeks is the middle value when the hours are arranged in ascending order.

To find the median, we first need to arrange the recorded number of hours spent practicing per week in ascending order. Let's assume the recorded hours are as follows: 2, 3, 4, 5, 5, 6, 7, 8, 9.

There are a total of nine recorded hours. Since the number of hours is odd, the median will be the middle value. In this case, the middle value is the fifth number, which is 5. Therefore, the median number of hours spent practicing per week during the nine consecutive weeks is 5.

The median is a measure of central tendency that represents the middle value in a set of data. It is a useful measure for finding a typical value in a distribution. In this case, the median gives us an idea of the "typical" number of hours spent practicing per week during the nine-week period.

By arranging the hours in ascending order, we can easily identify the middle value as the median. In situations where there is an even number of data points, the median would be the average of the two middle values.

Learn more about median here:

https://brainly.com/question/1153198

#SPJ11

Answer: The graph is shown below

====================================================

Explanation:

This piecewise function

\(f(x) = \begin{cases}x+1 \ \ \text{ if } x < 0\\2 \ \ \ \ \ \ \ \text{ if } 0 \le x \le 1\\x \ \ \ \ \ \ \ \text{ if } x > 1\\\end{cases}\)

is the same as saying...

All three of those statements combine to form the piecewise function.

In other words, f(x) has a split personality. It depends on what x is that will determine what f(x) is. To graph this, we graph the pieces of y = x+1, y = 2 and y = x based on the restrictions for x above.

The graph is shown below. Note the use of open holes vs closed circle endpoints (indicating which points are not part of the graph vs those that are). The closed endpoints happen when the inequality sign has a "or equal to" as part of it; otherwise, we'll have an open endpoint.