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wel
3 years ago
8

HELP ASAP

Mathematics
1 answer:
lukranit [14]3 years ago
6 0

Answer: 152 miles

Step-by-step explanation:

19 x 8 = 152

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Estimate the diameter of a wheel that makes 9 revolutions and travels 50 feet.Use 22/7 for π
salantis [7]
<span> 1.7676 Feet is the diameter</span>
3 0
3 years ago
Which expression is equivalent to (r Superscript negative 7 Baseline) Superscript 6? r Superscript 42 StartFraction 1 Over r Sup
vodomira [7]

Power rule of exponents says that the power of the power of a exponent is equal to the multiplying both the powers. The expression which is equal to the given expression is,

\dfrac{1}{(r)^{42}}

The option B is the correct option.

Given information-

The given expression in the problem is,

[(r)^{-7}]^5

<h3>Power rule of exponents</h3>

Power rule of exponents says that the power of the power of a exponent is equal to the multiplying both the powers.

Suppose<em> </em><em>x</em> is a number with power <em>a. </em>The power is power of the power of number <em>x. </em>Then by the power rule of the exponents,

(x^a)^b=x^{ab}

Using the power rule of the exponents given expression can be written as,

[(r)^{-7}]^6=(r)^{-7\times 6} &#10;

[(r)^{-7}]^6=(r)^{-42}

<h3>Negative exponents rule</h3>

Negative exponents rule says that when a power of a number is negative, then write the number in the denominator with the same power with positive sign.Thus,

[(r)^{-7}]^6=\dfrac{1}{(r)^{42}}

Hence the expression which is equal to the given expression is,

\dfrac{1}{(r)^{42}}

The option B is the correct option.

Learn more about the power rule of exponents here;

brainly.com/question/819893

8 0
2 years ago
Read 2 more answers
The following wedge prism has a volume of
tiny-mole [99]

Answer:

The volume of the prism is 27 cubic inches.

Step-by-step explanation:

In order to calculate the volume of the given prism, we need to apply the correct formula. The volume of the wedge prism is given by the following formula:

Volume = \frac{1}{2}*b*h*l

Applying the data from the problem on the equation above, we have:

Volume = \frac{1}{2}*6*4.5*2\\Volume = 6*4.5\\Volume = 27

The volume of the prism is 27 cubic inches.

6 0
3 years ago
5 points
saw5 [17]
B.30




cause 60 is 30 halted so yeah
6 0
2 years ago
Read 2 more answers
A) What is the equation of the line that passes through the given pair points in slope-intercept form?
lesya [120]

A)

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (2, 5.1) and (-1, -0.5). Substitute:

m=\dfrac{-0.5-5.1}{-1-2}=\dfrac{-5.6}{-3}=\dfrac{5.6}{3}=\dfrac{56}{30}=\dfrac{28}{15}

Therefore we have:

y=\dfrac{28}{15}x+b

Put the coordinates of the point (-1, -0.5) ot the equation:

-0.5=\dfrac{28}{15}(-1)+b

-0.5=-\dfrac{28}{15}+b     <em>multiply both sides by 2</em>

-1=-\dfrac{56}{15}+2b       <em>add \dfrac{56}{15} to both sides</em>

\dfrac{41}{15}=2b            <em>divide both sides by 2</em>

b=\dfrac{41}{30}

Answer: \boxed{y=\dfrac{28}{15}x+\dfrac{41}{30}}

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

B)

We have the points (-2, 3) and (3, -4).

Calculate the slope:

m=\dfrac{-4-3}{3-(-2)}=\dfrac{-7}{5}=-\dfrac{7}{5}

Therefore we have:

y=-\dfrac{7}{5}x+b

Put the coordinates of the point (-2, 3) to the equation of a line:

3=-\dfrac{7}{5}(-2)+b

\dfrac{15}{5}=\dfrac{14}{5}+b              <em>subtract \dfrac{14}{5} from both sides</em>

\dfrac{1}{5}=b\to b=\dfrac{1}{5}

Answer: \boxed{y=-\dfrac{7}{5}x+\dfrac{1}{5}}

7 0
3 years ago
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