At Camper’s Paradise, sales have increased 15%, 20%, and 10% over the past three years; that is, 15% three years ago, 20% two years ago, and 10% one year ago. If sales this year are $1,000,000, how much were sales three years ago? Round each year’s sales to the nearest dollar.

Answer:  The required values are

u = 140, v = 28, w = 40, x = 40 and y = 20.

Step-by-step explanation:  We are given to find the values of u, v, w, x and y from the figure shown.

We see that

the lines AB and CD are parallel to each other and PS is a transversal.

So, we must have

[tex]u^\circ=140^\circ~~~~\textup{[alternate interior angles]}\\\\\Rightarrow u=140.[/tex]

Now, we also have

[tex]u^\circ=5v^\circ~~~~~\textup{[vertically opposite angles]}\\\\\Rightarrow u=5v\\\\\Rightarrow 140=5v\\\\\Rightarrow v=\dfrac{140}{5}\\\\\Rightarrow v=28.[/tex]

Now, from the property of linear pair, we get

[tex]u^\circ+x^\circ=180^\circ\\\\\Rightarrow u+x=180\\\\\rightarrow 140+x=180\\\\\Rightarrow x=180-140\\\\\Rightarrow x=40.[/tex]

Since angles of measure w° and x° are alternate interior angles, so

[tex]w^\circ=x^\circ=40^\circ\\\\\Rightarrow w=40.[/tex]

Again, by using the property of linear pair, we get

[tex]2y^\circ+140^\circ=180^\circ\\\\\Rightarrow 2y+140=180\\\\\Rightarrow 2y=40\\\\\Rightarrow y=\dfrac{40}{2}\\\\\Rightarrow y=20.[/tex]

Thus, the required values are

u = 140, v = 28, w = 40, x = 40 and y = 20.

Answer:

1, 2, 5, 10, 25, 50

Step-by-step explanation:

Answer:

A because the sum of 5 - 9i and -4 + 7i is 1 - 2i. And if you subtract 14 - 3i out of that, then you get -13 + i.

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

In probability, "AND" means "multiplication" and "OR" means "addition".

Here, we are looking for probability of number greater than 4 "AND" probability of heads

so we find the individual probabilities and "multiply".

There are 6 numbers in a cube and number greater than four are 5 & 6, so 2 numbers. Hence

Probability of number greater than 4 is  2/6 = 1/3

Now,

In coin there is only head and tail, so probability of coming up heads is 1/2

Now we multiply both:

1/3 * 1/2 = 1/6

Hence

probability that a number greater than four is rolled and the coin comes up heads is 1/6

Answer: The correct answers are 1, 2, 4, 7

Step-by-step explanation:

Work for each problem:

1.)  1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 9  Median: 5 * 2 = 10 / 2 = 5

2.) Correct: The most answers were answered between the numbers 3 and 5.

3.) 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 9 (add all) = 108 / 24= 4.5

Answer:

the correct answers are

2. most students answered between 3 and 6 questions correctly

3. the median is 5 questions answered correctly

6. the mean is 4.5 questions answered correctly

7. the students answered between 1 and 9 questions correctly

Step-by-step explanation:

for #2-the shape of the data, more than half of the data lies between #3 and #6..so Most students answered between 3 and 6 questions correctly.

for #7-the lowest # of questions answered correctly is 1 and the highest # of questions answered is 9; so it makes Students answered between 1 and 9 questions correctly

Answer:

A. y = 3x/4

Step-by-step explanation:

 a proportional relationship between x and y is a straight line passing through the origin (0, 0).

The equation must be in the form y = kx.

y = 3x/4

y = 3/4x

Answer:

y=3x/4

Step-by-step explanation:

Answer:

D. The students are not part of the population

Step-by-step explanation:

The first three options are true of this sample. D is the only option that is not true.

Answer:

The students are not part of the population.

Step-by-step explanation:

To determine the longest segment, we calculate the distances between the given points using the distance formula. The longest segment is DE with a distance of approximately 21.43 meters.

To determine which segment is the longest, we need to find the distance between each pair of points. Using the distance formula, we can calculate the distance between points D and E, points E and F, points F and G, and points G and H. By comparing these distances, we can determine which segment is the longest.

D = sqrt((-3 - 8)^2 + (-6 - 11)^2) = sqrt(169 + 289) = sqrt(458) ≈ 21.43

E = sqrt((8 - 13)^2 + (11 - 13)^2) = sqrt(25 + 4) = sqrt(29) ≈ 5.39

F = sqrt((13 - 8)^2 + (13 - 11)^2) = sqrt(25 + 4) = sqrt(29) ≈ 5.39

G = sqrt((8 - -3)^2 + (11 - 13)^2) = sqrt(121 + 4) = sqrt(125) ≈ 11.18

H = sqrt((13 - -3)^2 + (13 - 11)^2) = sqrt(256 + 4) = sqrt(260) ≈ 16.12

The longest segment is DE with a distance of approximately 21.43 meters.

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Answer:

180 units²

Step-by-step explanation:

Let's find the length of the dashed line (which is the length of the trapezoid).  Use the Pythagorean Theorem:

7² + h² = 25², or h² = 625 - 49 = 576.  Thus, h = √576 = 24.

The average width of the trapezoid is:

         (7+4) + 4

w = ---------------- = 15/2

               2

The area of a trapezoid is (average width of trapezoid)(length of trapezoid), and here that comes to:

        15

A = -------- * 24 = 180 units²

          2

Hope this help!!!

Have a nice day!!!

Answer:

A= 19,63 units.

Step-by-step explanation:

The area of a circle is given by π r^2. Where "r" represents de radius.

In this case we know that de diameter is 5 units. Given that the radius is half of the diameter, then r=5/2 = 2.5 units.

Then the area of a circle is:

A= π r^2 = π (2.5 units)^2 = 19,63 units.

None of these. All of these functions are defined as ratio of trigonometric functions.

Trigonometric functions have infinite zeroes, so when you put them in the denominator, they lead to infinitely many points of ill-definition.

Specifically, we have:

[tex]\csc(x) = \dfrac{1}{\sin(x)}[/tex]

which is undefined at

[tex]\sin(x)=0\iff x=k\pi, k\in\mathbb{Z}[/tex]

[tex]\sec(x) = \dfrac{1}{\cos(x)}[/tex]

which is undefined at

[tex]\cos(x)=0\iff x=\dfrac{\pi}{2}+k\pi, k\in\mathbb{Z}[/tex]

[tex]\tan(x) = \dfrac{\sin(x)}{\cos(x)}[/tex]

which is undefined at

[tex]\cos(x)=0\iff x=\dfrac{\pi}{2}+k\pi, k\in\mathbb{Z}[/tex]

[tex]\cot(x) = \dfrac{\cos(x)}{\sin(x)}[/tex]

which is undefined at

[tex]\sin(x)=0\iff x=k\pi, k\in\mathbb{Z}[/tex]

Answer:

Im Gonna Have to Say B

Step-by-step explanation:

Answer:

B. (8,-98

Step-by-step explanation:

because : x=8.....y=-12(8)-3 =-99

Answer:

 To find the reference angle measuring x for angle in Quadrant II the formula is:

                  180° - x = 180° - 150° = 30°

             Answer: the reference angle is 30°

The expression we can use to determine the reference angle for an angle, x, measuring 150°  is   180°-X=150°

                               ⇒    X=180°-150°

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Answer:

$2.75

Step-by-step explanation:

I hope this helps you

You need an additional $2.75 to purchase the turkey. In the bat and ball problem, the ball costs $0.05 and the bat costs $1.05.

To determine how much more money is needed to purchase the turkey, you need to subtract the amount of money you have from the cost of the turkey. Since the turkey costs $12.75 and you have $10, you simply calculate $12.75 - $10.00 which equals $2.75. Therefore, you need an additional $2.75 to buy the turkey.

Let's now look at a similar problem. If a bat and ball cost $1.10 in total and the bat costs $1.00 more than the ball, we can set up the equation to find the price of the ball. Let x be the cost of the ball in dollars. Then the bat would cost x + $1.00. Since together they cost $1.10, the equation would be:
x + (x + $1.00) = $1.10.

Solving for x gives:
2x + $1.00 = $1.10
2x = $1.10 - $1.00
2x = $0.10
x = $0.10 / 2
x = $0.05.

So, the ball costs $0.05 and the bat costs $1.05, which is $1.00 more than the ball.

Answer:

Step-by-step explanation:

30, the angle is worth 180 and 180-40=140. 140-20=120. 4*30=120

Answer:

x=30

Step-by-step explanation:

4x+20+40=180

4x+60=180

4x=180-60

4x=120

4x/4

120/4

=30

PLZZZZZ make me brainliest!!

Answer:

-11

Step-by-step explanation:

64\-6= -10.667 Hope this helps

Answer:

BVLJFBGEJOOEUUUUUUUUVWRBTOUGNJWWHBH

Step-by-step explanation:

Answer:

B  480 in.³

Step-by-step explanation:

Volume of a rectangular prism is given by

V = l*w*h

V = 8*12*5

V =480 in ^3

Answer:

if f(x) = 3x+4, the rate of change is 4.

if f(x) = 2x+7, the rate of change is 2.

Step-by-step explanation:

We know that the average rate of change over the interval x=0 to x=8 is:

(f(x2) - f(x1))/x2-x1

Where:

x2 = 8

x1 = 0

if f(x) = 3x+4

so f(8)=3(8)+4 = 28

f(0)=3(0)+4 = 4

Then: (f(x2) - f(x1))/x2-x1 = (28 - 4)/8-0 = 24/8 = 3

On the other hand, if f(x) = 2x+7

f(8) = 2(8)+7 = 23

f(0) = 2(0)+7 = 7

Then: (f(x2) - f(x1))/x2-x1 = Then: 23 - 7/8-0 = 16/8 = 2

Answer:

If this is USATestPrep the answer is C

Step-by-step explanation:

Answer:

Option C is right.

Step-by-step explanation:

Jana has to solve a system of equations that contains an exponential function and a linear function.

C) No, exponential functions are the fastest growing functions. Since this is decay, eventually the exponential will level out where as the line has a constant rate of change. Therefore the exponential will eventually have higher y-values than the line. There must be a second intersection point.

Exponential will eventually exceed all other functions as they are the fastest growing functions.

Answer:

see explanation

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{6}{y}[/tex]

Multiply both sides by y

y × sin30° = 6 ( divide both sides by sin30° )

y = [tex]\frac{6}{sin30}[/tex] = [tex]\frac{6}{\frac{1}{2} }[/tex] = 12

---------------------------------------------------------------------------------------

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{y}[/tex]

Multiply both sides by y ( y = 12 )

12 × cos30° = x

x = 12 × [tex]\frac{\sqrt{3} }{2}[/tex] = 6[tex]\sqrt{3}[/tex]

Answer: 25.97

Explanation:

First you take 100-30=70

Then 70/100= 0.70

Multiply 0.70 by 35 give you 24.5

Than take 6% this time you will just divide by 100 so will be 6/100=0.06 how you are adding have put 1 in front that will result 1.06

Than take 24.5 multiply by 1.06 and get 25.97

Answer:

Hello, thank you for choosing Brainly to ask your question.

First, we have to find out what would 30% of 35 is.

To answer that, just use a common calculator or find out what 10% of it is and keep adding up.

So, 30 percent of 35 is 10.5.

Next, we have to find out what 6% of 24.50 is.

To find out the answer, you have to really use a calculator to find out. It would be way simpler and easier.

So, open your calculator. Then do "24.50 multiplied by 6%"

We are left with 1.47.

Now add 1.47 to 24.50. Your final answer is 25.97.

Answer:

x=15°

Step-by-step explanation:

step 1

Find the measure of arc QD

we know that

The inscribed angle is half that of the arc it comprises.

so

m∠OFQ=(1/2)[arc QD]

substitute the given value

52°=(1/2)[arc QD]

104°=[arc QD]

arc QD=104°

step 2

Find the value of x

Remember that the diameter divide the circle into two equal parts

so

arc FQ+arc QD=180°

we have

arc QD=104°

arc FQ=(5x+1)°

substitute

(5x+1)°+104°=180°

5x=180°-105°

x=15°

Answer:

2/3 of the fruits are bananas. :)

Step-by-step explanation:

Answer:

A. -50

Step-by-step explanation:

The question is asking you to find the Y point as they gave you the X.

(0,-50). -50 on the y-axis explains the x of 0. If you though it was 14 or -6, it is not because they have the x of -6 and the y of 0.

Answer:

C. 14

Step-by-step explanation:

The given graph represents a polynomial function r(x).

We want to find an x-value that satisfies

r(x)=0.

The solution to the function whose graph is shown are the x-intercepts of the graph.

We can read from the graph that, the x-intercepts are;

[tex]-6[/tex] and [tex]14[/tex].

Hence the solutions are x=-6 and x=14.

From the given options a solution to r(x) is 14.

The correct choice is C

The slope is 2/-2, so -1. The y-intercept is 2. So, y=-x+2

Answer:

0.833333333333

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

Dividing 5 by 6 not possible, add zero to to 5 to make it 50

so your quotient becomes 0. 8, you then multiply 8 by 6, it gives 48, you subtract 48 from 50, then you get 2 add zero at th back of 2, to make it 20.

Divide 20 by 6 again, then you will get 3, your quotient becomes 0.83, multiply 3 by 6, you will get 18, subtract 18 from 20, you will get 2, add 0 at the back of 2 to make it 20.

Divide 20 by 6, you will get 3, your quotient becomes 0.833. Multiply 3 by 6, you will get 18, subtract 18 from 20, you will get 2.

Add zero add the back of 2 to make it 20 and repeat the process.

You will keep getting 3

Answer:

[tex]72\pi\ in^{3}[/tex]

Step-by-step explanation:

step 1

Calculate the volume of the cylinder (flower vase)

The volume is equal to

[tex]V=\pi r^{2}h[/tex]

we have

[tex]r=6/2=3\ in[/tex] -----> the radius is half the diameter

[tex]h=12\ in[/tex]

substitute the values

[tex]V=\pi (3)^{2}(12)=108\pi\ in^{3}[/tex] ------> exact value

step 2

Calculate  2/3 of the volume

[tex]V=(2/3)108\pi=72\pi\ in^{3}[/tex]

The ordered pairs that satisfy the equation 7x - y = 8 include (1,-1) and (9/7, 1).

To find an ordered pair that satisfies the equation 7x - y = 8, we can choose a value for either x or y and then solve the equation for the other variable. For example, if we choose x = 1, we substitute this into the equation to find the corresponding y value: 7(1) - y = 8 which simplifies to y = -1. Thus, the ordered pair (1, -1) is a solution to the equation. Another solution could be found by choosing y = 1 and solving the equation for x: 7x - 1 = 8, which gives x = 9/7. Thus, the ordered pair (9/7,1) is also a solution to the equation.

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To determine the ordered pair that satisfies the equation, rearrange the equation to solve for y. Plug in different values for x to find corresponding values for y.

To determine the ordered pair that satisfies the equation 7x-1y=8, we need to solve for y.

Rearranging the equation, we get y=7x-8. This equation represents a linear relationship, where the value of y depends on the value of x.

By plugging in different values for x, we can find corresponding values for y.

For example, when x=0, y=(-8).

So the ordered pair that satisfies the equation is (0, -8).

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