Which of the following examples has a unit rate of 70 miles per hour? Select all
that apply.
A) 210 miles in 3 hours
B) 420 miles in 6 hours
C) 280 miles in 5 hours
D) 560 miles in 8 hours
E) 560 miles in 7 hours

Answers:

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Explanation:

The lowest point occurs when y = -2. The highest point occurs when y = 2.

The vertical distance between the highs and lows is 4 units (since 2-(-2) = 2+2 = 4). This cuts in half to get 4/2 = 2.

The amplitude is 2. It measures the vertical distance from the midline to either the peaks or valleys.

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Note that this curve has two lowest points and one highest point shown. What we'll do is shift the graph over to the right so that each of those lowest points snap to a grid point. The lowest point on the left will move to where x = -pi, while the lowest point on the right snaps to x = 3pi/2. We'll keep each point at the same y coordinate.

The horizontal distance from x = -pi to x = 3pi/2 is

(3pi/2) - (-pi) = 3pi/2 + 2pi/2 = 5pi/2

This represents the horizontal distance from the left valley point to the right valley point. This is one full period of the curve. After we arrive at the right valley point, we repeat the process of going up and coming back down in this exact same fashion. The process is repeated forever to generate the cosine curve. The curve repeats itself every 5pi/2 units along the x axis.

Side note: any phase shift of a curve will have the same period as the original curve. This is why we're allowed to shift left or right to help find the period.

Answer:

55.00

Step-by-step explanation:

Answer:

b=15 g=25

Step-by-step explanation:

lets translate that story problem to mathematics equations

the problem told that no. of girls are 10 more than no of boys so this will =

g=b+10

then in class there are 40 students that means

g+b=40

now we have to equations with two variables then we should substitute

(b+10)+b=40

lets remove the brackets

2b+10=40 subtract 10 from both sides

2b=30 now divide both by 2

b=15 so g=25 after you write the equation once again with the new proof or number

Answer:

840cm

Let Me Know If This Is Correct I Always Want To Improve!

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Answer:

b - 100 cm²

c - 45.5 cm²

Step-by-step explanation:

Hello There!

For b - The following figure shown is a trapezoid with the dimensions

height = 10cm

longer base = 12cm

shorter base = 8cm

We can calculate the area of a trapezoid using this formula

[tex]A=\frac{a+b}{2} h[/tex]

where a and b are bases and h = height

knowing the dimensions all we have to do is plug in the values

[tex]A=\frac{8+12}{2} 10\\8+12=20\\\frac{20}{2} =10\\10*10=100[/tex]

so we can conclude that the area of figure b is 100 cm²

for a

The figure shown is an irregular shape so to calculate the area we're going to want to divide the irregular shape into two regular shapes

a rectangle with the dimensions:

width = 7 cm

length = 8cm (total height of irregular figure) - 3cm (height of the triangle)

8cm-3cm=5cm so the length of the rectangle is 5cm

a triangle with the dimensions:

base (length) = 7cm

height = 3cm

Now lets find the area of each shape

for the rectangle:

the area of a rectangle can simply be found by multiplying the length and width

7 * 5 = 35 so the area of the rectangle is 35 cm²

for the triangle:

the area of a triangle can be found using this formula

[tex]A=\frac{1}{2} bh[/tex] where b = base and h = height

knowing the dimensions all we have to do is plug in the values

[tex]A=\frac{1}{2} 3*7\\3*7=21\\\frac{21}{2} =10.5[/tex]

so we can conclude that the area of the triangle is 10.5 cm²

finally we add the two areas of the regular shapes

10.5 + 35 = 45.5 cm²

In conclusion the area of the figure is 45.5 cm²

Answer:

84

Step-by-step explanation:

To divide two fractions we turn the second fraction upside down and multiply two fractions

21/1 ÷ 1/4 ➡ 21/1 × 4/1 = 84/1

This can be written as 84

Answer:

I think it would be (1,5)

Answer: 2/3

Step-by-step explanation:

12 lightbulbs and 4 are broken

12-4=8

8/12

/2

4/6

/2

2/3

Answer:

228 m^2

Step-by-step explanation:

I rly hope im not to late

base is 6x6=36

each side is 8x6=48

48x4=192

192+36=228

Answer:

8

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

8/ (2/3) = 12

The value of number is,

⇒ x = 12

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

2/3 of a number is 8

Let us assume that,

A number is, x

Hence, We can formulate;

⇒2/3 of x = 8

⇒ 2/3 × x = 8

⇒ 2x = 3 × 8

⇒ 2x = 24

⇒ x = 12

Thus, The value of number is,

⇒ x = 12

Learn more about the multiplication visit:

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Answer:

450 cm squared

Step-by-step explanation:

W=15

L=2W =30

A= LxW

A= 15X30

A=450

Answer:

The answer is D. Because the confidence interval is positive, the researcher can conclude there is a greater proportion of men than women who watch television regularly.

Step-by-step explanation:

We can agree that the lower and upper bound of the confidence interval is positive, meaning that because the confidence interval represents the range about the difference in proportions, it being positive must mean that one of the proportions is bigger than the other. Quickly calculating the proportions shows us that men (56 / 70) watch television more frequently than women (47 / 85).

Because the confidence interval is positive, the researcher can conclude that men watch television more frequently than women. Option D is correct.

The statistic is the study of mathematics that deals with relations between comprehensive data.

Here,
It is supposed to be agreed that the bottom and upper bounds of the confidence interval are positive, which means that because the confidence interval represents the range of the proportional difference, it must be positive if one of the proportions is larger than the other. Men (56 / 70) watch television more frequently than women (47 / 85), according to a quick calculation.

Thus, Because the confidence interval is positive, the researcher can conclude that men watch television more frequently than women. Option D is correct.

Learn more about Statistics here:
https://brainly.com/question/23091366

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Answer:

From this we can say that;

c. A one-hour delay in packaging the fish in ice decreases the estimated quality by 0.5

Step-by-step explanation:

The sample linear regression line representing the study of the relationship between the quality of fish, 'Y', and the number of hours that elapse after being caught that the fish were packed in ice, 'X', is presented as follows;

Y = 8.5 - 0.5·x

The estimated quality of a fish after a 1 hour delay in packaging in ice, is given as follows;

When X = 1

Y = 8.5 - 0.5 × 1 = 8.0

Therefore, the quality of a fish decreases from 8.5 to 8.0 which is equivalent to a 0.5 decrease in the quality of the fish, after a 1 hour delay in packaging in ice after being caught.

Complete Question:

Kyra is framing a square painting with side lengths of (x + 6) inches. The total area of the painting and the frame has a side length of (2x - 5) inches. The material for the frame will cost $0.07 per square inch.

Find the cost of the material for the frame is x = 16.

Answer:

The material cost of the frame is: $17.15

Step-by-step explanation:

Given

[tex]L_1 = (x + 6)\ in[/tex] --- Length of painting

[tex]L_2 = (2x - 6)[/tex] --- Frame and Painting

[tex]Cost = \$0.07[/tex] per square inch

Required

The cost of material of the frame

First, we calculate the area of the frame only

This is the difference between the areas of the frame and painting and the area of the painting

[tex]Area = (L_2)^2 - (L_1)^2[/tex]

[tex]Area = (2x - 5)^2 - (x + 6)^2[/tex]

Substitute 16 for x

[tex]Area = (2*16 - 5)^2 - (16 + 6)^2[/tex]

[tex]Area = (27)^2 - (22)^2[/tex]

[tex]Area = 245\ in^2[/tex]

The cost of the painting is:

[tex]Total\ Cost = Unit\ Cost * Area[/tex]

[tex]Total\ Cost = \$0.07 * 245[/tex]

[tex]Total\ Cost = \$17.15[/tex]

Hence, the material cost of the frame is: $17.15

Step-by-step explanation:

hope it will help you......

Answer:

p = 17

Step-by-step explanation:

→ Expand out (21)² - (17)²

21² = 441 and 17² = 289 therefore 441 - 289 = 152

→ Plug value back into equation

441 - p² = 152

→ Minus 441 from both sides

- p² = -289

→ Square root both sides

p = 17

9514 1404 393

Answer:

  x = 0

Step-by-step explanation:

The zero is the value of x that makes the linear factor zero:

  5x +0 = 0

  5x = 0 . . . . . simplify

  x = 0/5 = 0 . . . . divide by 5

The associated zero is x = 0.

Answer:

d) A = π([tex]9^{2}[/tex])

Step-by-step explanation:

area = π [tex]r^{2}[/tex]

diameter = 18

radius (half of diameter) = 9

area = π [tex]9^{2}[/tex]

Answer: a, 7ft

Step-by-step explanation:

Answer:

Answer A

Step-by-step explanation:

Answer: (-4 ,4)

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

100✓9283+374+_+38_+_+_("#9#9_+

Answer:

x = 6

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Answer:

Thus, 2/1 is the simplified fraction for 68/34 by using the prime factorization method.

Answer:

A ≈ 34.1 in²

Step-by-step explanation:

Using the formulas of area & circumference:

A = πr2

C = 2πr

Solving for A:

A = C2

4·π = 20.72

4·π = 34.09815 in²

4·π ≈ 34.1 in²

Answer:

97

Step-by-step explanation:

Answer:

Step-by-step explanation:

Explanations are below

Step 1

(100-3)  Observe the equation

Step 2

(100-3)  Simplify

100-(+3)

100-3

Answer: 97