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SpyIntel [72]
3 years ago
14

Given the point (10, 25) and m = 2.5 , write the equation for the function m(t) point-stope form.

Mathematics
1 answer:
dalvyx [7]3 years ago
8 0

Answer:

the equation for the function m(t) point-stope form will be:

  • y - 25 = 2.5 (x - 10)

Hence, option D is correct.

The graph is attached below.

Step-by-step explanation:

Given

Point (10, 25)

Slope m = 2.5

To determine

Write the equation for the function m(t) point-stope form.

We know that the point-slope form of the line equation is

y-y_1=m\left(x-x_1\right)

where

  • m is the slope of the line
  • (x₁, y₁) is the point

In our case:

  • m = 2.5
  • (x₁, y₁) = (10, 25)

so

substituting the values m = 2.5 and the point (10, 25) in the equation

y-y_1=m\left(x-x_1\right)

y - 25 = 2.5 (x - 10)

Therefore, the equation for the function m(t) point-stope form will be:

  • y - 25 = 2.5 (x - 10)

Hence, option D is correct.

The graph is attached below.

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Elis [28]

Answer:

B

Step-by-step explanation:

Let's eliminate the incorrect answers. C and D are incorrect, since anything to the power of 0 is equal to 1. A is incorrect, because -1 * -1 = 1 since the negatives cancel out. B is correct, because -1*-1*-1*-1*-1 has an odd number of negatives, and thus you are left with -1 instead of 1. Therefore, the answer is B.

8 0
3 years ago
Find each product or quotient.
solniwko [45]

-38(-3) = 114

-72/(-12) = 6

-9 x 23 = -207

-150/5 = -30

564 / -4 = -141

<h3><u>Solution:</u></h3>

Given that, we have to find each product or quotient

<em><u>-38(-3)</u></em>

It is a product, so we have to find product value

-38(-3)=38 \times 3=114

<em><u>-72 / (-12)</u></em>

It is division, so we have to find the quotient

\frac{-72}{-12}=\frac{72}{12}=6

<em><u>-9 x 23</u></em>

It is a product, so we have to find product value

-9 \times 23=-207

<em><u>- 150 / 5</u></em>

It is division, so we have to find quotient

\frac{-150}{5}=-30

<em><u>564 / -4</u></em>

It is division, so we have to find the quotient

\frac{564}{-4}=-141

3 0
4 years ago
Elbert used to make $22 an hour, but got a 10% raise. How much more will he make in 40 hours work week with the raise
creativ13 [48]

Answer:

Elbert will Make $968 in 40 hours of work with the raise.

Step-by-step explanation:

Given:

Elbert makes $22 an hour.

He got 10% raise

Money raised on 10% = \frac{10}{100}\times 22=\$2.2

Now total money for per hour after raise  = \$22+\$2.2=\$24.2

Now to find the total money earned after 40 hours with raise we need to multiply total money for per hour after raise with number of hours.

Total money earned = \$24.2 \times 40 = \$968

Hence, Elbert will Make $968 in 40 hours of work with the raise.

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The sampling method would be random
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Given that the ball was rolling with an initial velocity of 4.80 m/s, when it encountered the ramp.

Given that the accerelation with which it rolled over the ramp was -0.875 m/s^2 and that the ranp is 0.750 m long.

The final velocity of an object with an initial velocity, u, with an accerelation, a, moving through a distance, s is given by

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Thus, the <span>final velocity of the ball when it reaches the top of the ramp is given by

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3 years ago
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