A copy machine makes 132 copies in 5 minutes and 30 seconds. How many copies does it make per minute?

Answers

Answer 1
24 copies per minute

Related Questions

Suppose that the dollar cost of producing x radios is c(x) = 400 + 20x - 0.2x
2. Find the marginal cost when 30
radios are produced.

Answers

cost of producing x radios is c(x) = 400 + 20x - 0.2x
where:
x=number of units
thus the cost required to produce 30 units will be given by
c(30)=400+20(30)-0.2(30)
c(30)=400+600-6
c(30)=994

Answer: Marginal cost will be $994

find the unit price rounded to the nearest cent: $12.35 for 11 lb

Answers

The unit price is 1.12.

All you have to do is divide $12.35 / 11 = 1.12

Hope this Helps!!
Answer:
unit price = $1.1

Explanation:
We are given that 11 lb cost $12.35. To know how much does 1 lb cost (unit price), all you have to do is cross multiplication as follows:
11 lb .......................> 12.35
1 lb .........................> ??
unit price = (1*12.35) / 11 = $1.122 which is approximately $1.1 (to the nearest cent)

Hope this helps :)

21$is 75% of what amount?

Answers

21 cents =75%
divide both sides by 3
7cents= 25%
multiply each side by 4
28=100%
Answer=28

Is 0.6 and 0.60 equal to each other

Answers

Yes. They are both equal to each other. Even 0.6000000 would be equal to 0.6 and 0.60.

simplify this problem

Answers

Try the suggested solution (in the attachment).

What is the surface area of the cylinder in terms of Pi? radius is 14in and height is 18 in A. 896 pi in^2 B. 504 pi in^2 C. 392 pi in^2 D. 350 pi in^2

Answers

the formula is A=2πrh+2πr2 thats the formula 

Answer:

The answer is 896pi in.^2

Step-by-step explanation:

It may seem confusing as you get an answer in the thousands by plugging in the formula, but remember they are asking you to find the answer in "terms of pi". This means you have to divide the answer by 3.14.

2814/3.14 = 896pi in^2

Hope this helped!

what is the equation of the axis of symmetry of a parabola if its x-intercepts are -3 and 7?

Answers

this is a parabola, meaning the equation is a quadratic, so it has 2 roots or x-intercepts, keeping in mind that vertex will lie half-way between those intercepts.

so what's the x-value halfway between -3 and 7?  yeap, you guessed it, 2.

so the axis of symmetry for this vertical parabola will be at x = 2.

Based on the concept of the axis of symmetry, the equation of the axis of symmetry of the parabola is x = 2.

How the Equation of the axis of symmetry is determined?

To find the equation of the axis of symmetry of a parabola given its x-intercepts, we can use the fact that the axis of symmetry is the vertical line that passes through the midpoint of the x-intercepts.

The midpoint formula is given by:

x-coordinate of midpoint = (x-intercept1 + x-intercept2) / 2

In this case, the x-intercepts are -3 and 7. Let's calculate the midpoint:

Midpoint = (-3 + 7) / 2

Midpoint = 4 / 2

Midpoint = 2

Therefore, the x-coordinate of the midpoint (and the equation of the axis of symmetry) is x = 2.

Hence, in this case, it is concluded that the equation of the axis of symmetry of the parabola is x = 2.

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Select all that apply. In a linear function: Δy = 0 Δx = 0 Δy = n Δx = n Δy = -n Δx = -n

Answers

Answers: All the options are right and have a special meaning.

Explanation:

1) Δy = 0

Means y is constant, which is also that the slope is zero.

The function is a horizontal line (paralell to the x-axis)

2) Δx = 0

Means x is constant, the slope is not defined (∞).

The function is a vertical line (parallel to the y-axis)

3) Δy = n

Means that the change in y is constant. So, only if the change in x is also constant the slope is constant and the function is linear.

This is because the slope is Δy / Δx.

4) Δx = n

Means the change in x is constant. So, only if Δy is constant it is a linear function, for the same reason explained above

5) Δy = -n and and 6) Δx = -n

Same reasoning of 3 and 4.

Answer:

All options are correct except Δx = 0.

So select: Δy = 0 Δy = n Δx = n Δy = -n  Δx = -n

Step-by-step explanation:

Δy can be positive, negative, or zero. The value of  Δx can be positive or negative but not zero. From Odyssey ware.

hello can you please help me posted picture of question

Answers

Total number of students = 28
Number of medals to be awarded = 6

We have to distribute (arrange) the 6 medals among 28 students, so this is a problem of permutations. This means we have to find the permutations of 28 objects taken 6 at a time. This can be expressed as 28P6

[tex]28P6= \frac{28!}{22!} \\ \\ =271252800 [/tex]

This means, there are 271252800 ways to award the medals.

So, the correct option is C

hello can you please help me posted picture of question

Answers

The value of the probabilities can only be between 0 and 1, including these two end points.

Any value outside this range cannot be a value of probability.

Values like -0.5 , 1.25 cannot be the probabilities.

So, the correct options are: B, C and E

a rectangle box is twice as long as it is wide. the height of the box is 3 feet less than the width. if the box is x feet wide, what polynominal represents its volume in cubic feet

Answers

The width is given as x.
The length is twice the width, so is 2x.
The height is 3 less than the width, so is x-3.

The volume is (length)*(width)*(height), so is (2x)(x)(x -3). Eliminating parentheses, the volume in cubic feet is represented by the polynomial ...
  2x³ -6x²

Suppose we want to form five digit numbers using the set of digits 0 1 2 3

Answers

Final answer:

The question pertains to creating five-digit numbers using the digits 0, 1, 2, and 3, with the restriction that the digit 0 cannot be used as the first digit. We consider the choices for each digit, leading to a total of 768 different combinations.

Explanation:

The student is asking about forming five-digit numbers with a set of digits 0, 1, 2, 3. To create five-digit numbers with these digits, we need to consider that each digit position can be one of these four digits. The fact that 0 is included as one of the possible digits is significant because it means 0 cannot be used as the first digit in a five-digit number as that would create a four-digit number.

Since there are restrictions on the use of 0 in the first position, the first position can only be filled with digits 1, 2, or 3, providing us with three choices for the first digit. The remaining four positions can be filled by any of the four digits (0, 1, 2, 3) without restriction. Thus, for each of the remaining four positions, we have four choices.

To calculate the total number of different five-digit numbers that can be formed, we would multiply the number of choices for each position, which yields 3 choices for the first digit and 4 choices for each of the remaining four digits. Therefore, the formula becomes 3 * 4 * 4 * 4 * 4, which equals 768 different five-digit numbers.

There are 768 five-digit numbers that can be formed using the digits {0, 1, 2, 3}.

To find out how many five-digit numbers can be formed using the set of digits {0, 1, 2, 3}, we can use the concept of permutations.

Since we want to form a five-digit number, we have 5 positions to fill. For each position, we have 4 choices: 0, 1, 2, or 3.

However, since the number cannot start with 0, we have only 3 choices for the first digit.

After choosing the first digit, the remaining four positions can be filled with any of the digits {0, 1, 2, 3}.

So, the total number of five-digit numbers that can be formed using the given set of digits is:

3 (choices for the first digit) × 4 (choices for each of the remaining four digits) × 4 (choices for each of the remaining four digits) × 4 (choices for each of the remaining four digits) × 4 (choices for each of the remaining four digits)

This simplifies to:

3 × 4^4 = 3 × 256 = 768

Therefore, there are 768 five-digit numbers that can be formed using the digits {0, 1, 2, 3}.

Question

Suppose we want to form five-digit numbers using the set of digits {0, 1, 2, 3}. For example, 30133 and 22301 are such numbers, but 03731 is not. How many such numbers are possible? There are no five-digit numbers formed by using the digits {0, 1, 2, 3}.

Let f = ay i + bz j + cx k where a, b, and c are positive constants. let c be the triangle obtained by tracing out the path from (7, 0, 0) to (7, 0, 2) to (7, 6, 2) to (7, 0, 0). find f · dr
c.

Answers

You can either compute three line integrals, or use Stokes' theorem and compute one surface integral. I prefer the latter.

The curl of the given vector field is

[tex]\nabla\times\mathbf f(x,y,z)=-b\,\mathbf i-c\,\mathbf j-a\,\mathbf k[/tex]

Parameterize the triangular surface bounded by [tex]\mathcal C[/tex] - I'll call it [tex]\mathcal S[/tex] - by

[tex]\mathbf s(u,v)=7\,\mathbf i+6v\,\mathbf j+2(u+v-uv)\,\mathbf k[/tex]

with [tex]0\le u\le1[/tex] and [tex]0\le v\le1[/tex]. By Stokes' theorem, we have

[tex]\displaystyle\int_{\mathcal C}\mathbf f(x,y,z)\cdot\mathrm d\mathbf r=\iint_{\mathcal S}\nabla\times\mathbf f(x,y,z)\cdot\mathrm d\mathbf S[/tex]

where [tex]\mathcal S[/tex] is positively oriented; that is, every vector normal to [tex]\mathcal S[/tex] is pointed in the positive [tex]x[/tex] direction. The surface element is given by

[tex]\mathrm d\mathbf S=\mathbf s_u\times\mathbf s_v\,\mathrm du\,\mathrm dv[/tex]

So our integral is

[tex]\displaystyle\int_{v=0}^{v=1}\int_{u=0}^{u=1}(-b\,\mathbf i-c\,\mathbf j-a\,\mathbf k)\cdot((12v-12)\,\mathbf i)\,\mathrm du\,\mathrm dv[/tex]
[tex]\displaystyle=12b\int_{v=0}^{v=1}(1-v)\,\mathrm dv=6b[/tex]
Final answer:

The task involves evaluating the line integral of a vector field along a path to determine the work done by the field. Since the path does not traverse in the x-direction, only the y and z components of the vector field contribute to the integral. The calculation involves parameterizing each segment and summing up the individual integrals.

Explanation:

The student's question involves finding f · dr along a path c in a vector field. The vector field is given as f = ay i + bz j + cx k, and the path c is a triangle with vertices at (7, 0, 0), (7, 0, 2), and (7, 6, 2). The dot product of a vector field with a differential displacement vector (dr) represents the work done by the field along that path.

To find the integral of f · dr along the path c, we would parameterize each segment of the path and evaluate the line integral. However, since the vector field has constants multiplied by either i, j, or k, and the path only moves parallel to the y and z axes, the components involving x do not contribute to the integral. Therefore, for each segment of the path, we will only consider the y and z components of the vector field. The line integral along the path is then the sum of the integrals over each segment of the triangle.

In this example, since the x-component of the field does not change and the path does not move in the x direction, the integral over the x components will be zero.

Calculation Steps:

Parameterize each segment of the path.Evaluate the integral of f · dr over each segment.Add the integrals from each segment to get the total work done by the field along path c.

Find the exact value of tan5x/4

Answers

To evaluate for tan 5x/4 we proceed as follows
5x/4
=5/4*150
=225
which is in quadrant III. 
This implies that the value of tan will be positive, hence:
tan 225=tan (270-225)
tan 225=tan 45
using right angle with length of the legs being unit, then 
tan 45=1
hence
tan 5x/4=1

rewrite 5/6 with the denomintaior of 12

Answers

To change 5/6 to a fraction with a denominator of 12, you need to do one step.  Since 12 is a multiple of 6 (meaning that it can be multiplied by 6 and another number), you multiply 5/6 by 2 to get 10/12. 10/12 is your answer.

i need help working this problem?

Answers

Let p represent the number of people originally in the fort. Then the quantity of provisions is 90p (person-days). The scenario can be described by
  90p = 20p +50(p+600)
  90p = 70p +30000 . . . . . . . eliminate parentheses
  20p = 30000 . . . . . . . . . . . . subtract 70p
  p = 1500 . . . . . . . . . . . . . . . . divide by 100

There were originally 1500 people in the fort.

A leak in a water tank causes the water level to decrease by 3.6×10−2 millimeters each second.

About how many millimeters does the water level in the tank decrease in 5 hours, or 1.8×104 seconds?



Drag and drop the values to the boxes to express the answer in scientific notation.

Answers

(3.6×10⁻² mm/s) × (1.8×10⁴ s) = (3.6×1.8) × 10⁻²⁺⁴ mm = 6.48×10² mm

Answer:

just to sum up the answer it is 6.5*10^2

In a large population, very close to 25% of the observations will fall below the 25th percentile (Q1), and close to 75% fall below the 75th percentile (Q3). The Web site of the Educational Testing Service reports that on the SAT Verbal test, with a possible perfect score of 800, the 89th percentile of 1,475,623 scores nationwide is a score of 670. What is the best estimate of exactly how many scores were below 670?

Answers

Solving:

 .89 * 1,475,623 = 1,313,304.47 

So, the answer would be: 
approximately equal to 1,313,305 number of scores were below 670

Answer:

1,313,000

Step-by-step explanation:

Law of cosines: a2 = b2 + c2 – 2bccos(A). What is the measure of S to the nearest whole degree?

Answers

Answer:

I think the answer is 77.

Step-by-step explanation:

A cartoon in the shape of a cube measuring 8 inches tall is filled with colored plastic cubes measuring 1 inch across each face. The cubes sell for 25cent each. How much would it cost to buy all of the cubes in the carton? Enter your answer in the box?

Answers

The entire package is a cube, so its volume is 8 x 8 x 8 = 512 in^3. Each small cube is 1 x 1 x 1 = 1 in^3. Therefore, there are 512 in^3 / 1 in^3 = 512 cubes, and since each cube is 25 cents, it would cost (512 cubes)($0.25) = $128 to buy all the cubes in the carton.

What is the measure of < L ? Need help

Answers

Hello!

Looking at the image above, we can see that the two “legs” of the triangle both have a length of 7 units. Consequently, this triangle can be classified as an isosceles triangle. An isosceles triangle has two sides of equal length (in this case, KJ and KL) and two corresponding angles of equal measure (in this case, ∠J and ∠L).

∠J has a measure of 25 degrees. Consequently, with our knowledge of isosceles triangles, we can conclude that ∠L has a measure of 25 degrees as well.

I hope this helps!

Final answer:

Length contraction is the shortening of an object's measured length when it is moving relative to the observer's frame. The formula for length contraction is L = L0√(1 - (v^2/c^2)).

Explanation:

Length contraction (L) is the shortening of the measured length of an object moving relative to the observer's frame. It occurs when an object is moving at a significant fraction of the speed of light. The formula for length contraction is L = L0√(1 - (v2/c2)), where L0 is the rest length of the object, v is its velocity, and c is the speed of light.

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Ted determined that there are 50000 millimeters in 5 meters. Was he correct? Why or why not?

Answers

Ted is incorrect because if you use the formula mm/1000, 50,000 millimeters would equal to 50 meters, which makes 5 meters equal to 5,000 millimeters.

need help please.I forgot this.

Answers

The associative property lets you move the parentheses.

6. (-20×50)×-29 = -1000×-29 = 29,000

7. (5×10)×18 = 50×18 = 900

8. 400 + (60 + 98) = 400 +158 = 558

9. 3×(20×5) = 3×100 = 300

10. (18 + 9) +91 = 27 +91 = 118

hey can you please help me posted picture of question

Answers

We have the following function:
 C (f) = (5/9) (f -32)
 Clearing f we have:
 (f-32) = (9/5) c
 Rewriting:
 f = (9/5) c + 32
 f (c) = (9/5) c + 32
 Answer:
 
The inverse function for this case is given by:
 
f (c) = (9/5) c + 32
 
option B

Q # 7 please solve. the math

Answers

The first choice is the correct answer
12 in by 22 in by 4 in

the explanation is as shown in the figure
The dimension will be x , 20 - 2x , 30 -2x

the volume= v = x(20-2x)(30-2x) = 4x³ - 100x² + 600x
differentiating with respect to x and equating to zero
dv/dx = 12x² - 200x + 600 = 0
solve for x using calculator
x = 12.7 (unacceptable)   or x = 3.92 ≈ 4

∴ The dimension will be 4 , 12 , 22
The answer to your question would be   4 , 12 , 22 and it is the first choice.
Solution:The dimension = x , 20 - 2x , 30 -2x
the volume=
 v = x(20-2x)(30-2x)
= 4x³ - 100x² + 600x

dv/dx = 12x² - 200x + 600 = 0x = 12.7 
 x = 3.92
≈ 4
Dimension: 4 , 12 , 22

System.out.print((k%3) + " "); if ((k % 3) == 0) k = k + 2; else k++; } what is printed as a result of executing the code segment? question 21 options:
a. 0 2 1 0 2
b. 0 2 0 2 0 2
c. 0 1 2 1 2 1 2
d. 0 2 0 2 0 2 0
e. 0 2 1 0 2 1 0

Answers

Either B or D. Your question is missing information.

Write the sum as a product of the GCF and a sum: 39+91

Answers

[tex]\bf 39+91\qquad \begin{cases} 39=3\cdot \underline{13}\\ 91=7\cdot \underline{13} \end{cases}\implies \underline{13}(3+7)[/tex]

A random sample of 31 charge sales showed a sample standard deviation of $50. a 90% confidence interval estimate of the population standard deviation is

Answers

The [tex]100(1-\alpha)\%[/tex] confidence interval of a standard deviation is given by:

[tex] \sqrt{ \frac{(n-1)s^2}{\chi^2_{1- \frac{\alpha}{2} } }} \leq\sigma\leq\sqrt{ \frac{(n-1)s^2}{\chi^2_{\frac{\alpha}{2} } }}[/tex]

Given a sample size of 31 charge sales, the degree of freedom is 30 and for 90% confidence interval, 

[tex]\chi^2_{1- \frac{\alpha}{2} }=43.773 \\ \\ \chi^2_{\frac{\alpha}{2} }=18.493[/tex]

Therefore, the 90% confidence interval for the standard deviation is given by

[tex]\sqrt{ \frac{(31-1)50^2}{43.773 }} \leq\sigma\leq\sqrt{ \frac{(31-1)50^2}{18.493 }} \\ \\ \Rightarrow\sqrt{ \frac{(30)2500}{43.773 }} \leq\sigma\leq\sqrt{ \frac{(30)2500}{18.493 }} \\ \\ \Rightarrow\sqrt{ \frac{75000}{43.773 }} \leq\sigma\leq\sqrt{ \frac{75000}{18.493 }} \\ \\ \Rightarrow \sqrt{1713.38} \leq\sigma\leq \sqrt{4055.59} \\ \\ \Rightarrow41.4\leq\sigma\leq63.7[/tex]

Final answer:

The 90% confidence interval estimate of the population standard deviation is (0.97, 274).

Explanation:

To estimate the population standard deviation with a 90% confidence interval, you can use the formula:

CI = [s * sqrt(n-1) / sqrt(chi-squared lower value), sqrt(chi-squared upper value))]

where s is the sample standard deviation, n is the sample size, and chi-squared lower and upper values are obtained from a chi-squared distribution table. For a 90% confidence interval, the chi-squared lower value is 0.05 and the chi-squared upper value is 0.95 for the given sample size of 31. Plugging in the values:

CI = [50 * sqrt(31-1) / sqrt(0.05), sqrt(0.95))] = [50 * sqrt(30) / sqrt(0.05), sqrt(0.95))] = [50*5.48, 0.97] = [274, 0.97]

Therefore, the 90% confidence interval estimate of the population standard deviation is (0.97, 274).

Need help with this question please

Solve the triangle.
B = 36°, a = 38, c = 17 (5 points)


b ≈ 41.3, C ≈ 22.3, A ≈ 121.7

b ≈ 41.3, C ≈ 26.3, A ≈ 117.7

b ≈ 26.2, C ≈ 118.7, A ≈ 25.3

b ≈ 26.2, C ≈ 22.3, A ≈ 121.7

Answers

To solve for the triangle we shall proceed as follows:
B = 36°, a = 38, c = 17
using cosine rule:
b^2=a^2+c^2-2accosB
b^2=38^2+17^2-2*38*17cos36
b^2=697.7500
b=26.2

th missing angles will be evaluated using sine rule:
a/sin A=b/sin B
thus
38/sin A=26.2/sin 36
sin A=(38sin 36)/26.2
sin A=0.8525
A=58.49

since a is the longest side then A is the largest angle and it will be:
A=180-58.49=121.51
also:
c/sin C=b/sin B
17/sin C=26.2/sin 36
sin C=0.3814
C=22.42

Thus answer is:
b ≈ 26.2, C ≈ 22.3, A ≈ 121.7

QM Q4.) Find the solution set

Answers

Hello!

First you find the least common multiplier which is 2x(x + 2)

[tex] \frac{1}{x} * 2x(x + 2) + \frac{1}{x + 2} * 2x(x + 2) = \frac{1}{2} * 2x(x + 2)[/tex]

Simplify

2(x + 2) + 2x = x(x + 2)

Now you solve it algebraically

Distribute the 2

2x + 4 + 2x = x(x + 2)

Distribute the x

[tex]2x + 4 + 2x = x^{2} +2x[/tex]

Combine like terms

[tex]4x + 4 = x^{2} +2x[/tex]

Subtract 4 from both sides

[tex] x^{2} + 2x - 4 = 4x[/tex]

Subtract 4x from both sides

[tex] x^{2} - 2x - 4 = 0[/tex]

Now you put this into the quadratic formula

[tex]x = \frac{-(-2) + and - \sqrt{(-2)^{2}- 4 * 1 * (-4) } }{2 * 1} [/tex]

Simplify

[tex]x = \frac{2 + and - \sqrt{20} }{2} [/tex]

Factor the sqrt of 20

[tex]x = \frac{2 + and -2 \sqrt{5} }{2} [/tex]

Factor 2 + and - the 2 * sqrt of 5

[tex] \frac{2(1 + and - \sqrt{5}) }{2} [/tex]

The 2's cancel each other other

[tex]x = 1 + and - \sqrt{5} [/tex]

The answers are [tex]x = 1 + \sqrt{5} and x = 1- \sqrt{5} [/tex]

Hope this helps!

The square root of a negative number is imaginary, there are no real solutions to the equation x² - x = 2.

The equation using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

Where:

a is the coefficient of the x² term

b is the coefficient of the x term

c is the constant term

In the equation x² - x = 2, we have:

a = 1

b = -1

c = 2

Plugging these values into the quadratic formula, we get:

x = (1 ± √((-1)² - 4(1)(2))) / 2(1)

Simplifying the expression, we get:

x = (1 ± √(1 - 8)) / 2

Evaluating the square root, we get:

x = (1 ± √(-7)) / 2

Since the square root of a negative number is imaginary, there are no real solutions to the equation x² - x = 2.

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A card is drawn from a well shuffled deck of 52 cards. find the probability of drawing a club or a diamond Allie sold oatmeal cookies at a stand for two days. She made 35.20 on the first day. She used 1/4 of this money to buy more supplies for the next day. How much money did Allie use to buy more supplies for the next day According to robert sternberg, companionate love develops when _________ is (are) present. infatuation passion and intimacy intimacy and decision/commitment passion and decision/commitment I need the answer I need help with this question One hose can fill a pool in 12 hours. another hose can fill the same pool in 8 h Your business has two branch stores. The recent physical inventory reports that the merchandise value for each store is: Store A $454,385, and Store B $586,855. The merchandise book value for each store is: Store A $495,275, and Store B $615,225. What is the dollar amount of shrinkage for each store? The length of a rectangle is increasing at a rate of 3 cm/s and its width is increasing at a rate of 5 cm/s. when the length is 14 cm and the width is 9 cm, how fast is the area of the rectangle increasing? which best explains what a credit score represents? A 155 pound person burns about 500 calories per hour playing racquetball. one pound id equal to 3500.Q- If the person were to rest 5 minutes for every 30 minutes of playing, how long would it take to burn 1 pound? How does connotation affect symbolism and metaphor? A. Literal definitions evoke particular feelings. B. References to past events create associations.C. Subjective associations link concepts.D. Logical thinking results in certain conclusions. The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square kilometers, find the dimensions of the rectangle. Drew purchased 3 books each with a different price for $24 the cost of each book was a multiple of 4 what could be the prices of the 3 books Which term refers to an electrochemical cell that produces an electric current?porous barriergalvanic cellelectrolytic cellinert electrode Why did so many Americans believe in manifest destiny The term used to describe the process of using your computer to view web pages need help for question one in polynomials If the tax multiplier is minus1.5 and a $200 billion tax increase is implemented, what is the change in gdp, holding all else constant? (you may assume the price level stays constant.)a. a $300 billion increase in gdpb. a $300 billion decrease in gdpc. a $133.33 billion decrease in gdpd. a $30 billion increase in gdpe. a $133.33 billion increase in gdp which choice is the graph of a line that is perpendicular to the line represented by the equation y = -2x + 7 One factor to note in considering the future of marriage is that Mrs. Wilton is planning a rectangular flower box for her front window. She wants the flower box to hold exactly 16 cubic feet of soil. How many different flower boxes, all with the whole-number dimensions and a different-size base, will hold exactly 16 cubic feet of soil.