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vova2212 [387]
3 years ago
10

A relationship between two variables is described below. We can think of one variable as helping to explain the other. Is the in

dicated variable the explanatory variable or the response variable? Lung capacity and number of years smoking cigarettes. Number of years smoking cigarettes is the:
Mathematics
1 answer:
kramer3 years ago
3 0

Answer:

Explanatory Variable

Step-by-step explanation:

The variable that we can change is called the Explanatory variable.

The response variable dependent upon the explanatory variable, as we change the value of the explanatory variable the value of the response variable is also gets changed.

The number of years smoking a cigarette is in our control so it is an explanatory variable.

and, the impact of the number of years smoking a cigarette is directly on lung capacity, so it is Response variable.

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A machinist drilled a conical hole into a cube of metal as shown.
Mnenie [13.5K]

Answer:

512ft³

Step-by-step explanation:

If the cube its sides of all 8 feet, then the length, width, and height is 8 feet. Then, multiply 8 by 8 you get 64 and then multiply 64 by 8 to get 512.

7 0
3 years ago
There are 96 people consisting of 48 married couples in a room. Assuming that no husband or wife shakes thr others hand but ever
NikAS [45]

Answer:

4512 handshakes

Step-by-step explanation:

We are told in the question, that there are

96 people in the room = 48 couples

Assuming that no husband or wife shakes each others hand but everyone else shakes hands exactly once

This means

48 couples will shake 94 people because they are excluded

This is calculated as

48 × 94 = 4512 handshakes

6 0
3 years ago
Which describes how triangle FGH could be transformed to triangle F prime G prime H prime in two steps? On a coordinate plane, t
charle [14.2K]

Answer:

  • <u><em>A dilation by a scale factor of 4 and then a reflection across the x-axis </em></u>

Explanation:

<u>1. Vertices of triangle FGH:</u>

  • F: (-2,1)
  • G: (-3,3)
  • H: (0,1)

<u>2. Vertices of triangle F'G'H':</u>

  • F': (-8,-4)
  • G': (-12,-12)
  • H': (0, -4)

<u>3. Solution:</u>

Look at the coordinates of the point H and H': to transform (0,1) to (0,-4) you can muliply each coordinate by 4 and then change the y-coordinate from 4 to -4. That is<em> a dilation by a scale factor of 4 and a reflection across the x-axis.</em> This is the proof:

  • Rule for a dilation by a scale factor of 4: (x,y) → 4(x,y)

       (0,1) → 4(0,1) = (0,4)

  • Rule for a reflection across the x-axis:{ (x,y) → (x, -y)

        (0,4) → (0,-4)

Verfiy the transformations of the other vertices with the same rule:

  • Dilation by a scale factor of 4: multiply each coordinate by 4

       4(-2,1) → (-8,4)

       4(-3,3) → (-12,12)

  • Relfection across the x-axis: keep the x-coordinate and negate the y-coordinate

        (-8,4) → (-8,-4) ⇒ F'

        (-12,12) → (-12,-12) ⇒ G'

Therefore, the three points follow the rules for <em>a dilation by a scale factor of 4 and then a reflection across the x-axis.</em>

4 0
3 years ago
Read 2 more answers
Eight less than the quotient of x and 3
frosja888 [35]

Answer:

y=x3−8

Step-by-step explanation:

8 0
3 years ago
Is this answer is right?
Klio2033 [76]

\bf \cfrac{7y-x}{z}~~ \begin{cases} x=9\\ y=5\\ z=4 \end{cases}\implies \cfrac{7(5)-9}{4}\implies \cfrac{35-9}{4}\implies \cfrac{26}{4}\implies \cfrac{13}{2}\implies 6\frac{1}{2}

4 0
3 years ago
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