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Complete the equation of the line through $(-8, 8)$ and $(1, -10)$ .

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Precalculus

Find the magnitude of a three-dimensional vector

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More problems from Find the magnitude of a three-dimensional vector

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Let

f(x)=2 \cos \left(\frac{\pi x}{4}\right)

and

g(x)=x-6

\newline

Find the sum of the areas enclosed by the graphs of

f

and

g

between

x=4

and

x=8

\newline

Use a graphing calculator and round your answer to three decimal places.

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Posted 9 months ago

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Find the area. Simplify your answer.

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Posted 8 months ago

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You pick a card at random, put it back, and then pick another card at random.

\newline

4

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5

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6

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7

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What is the probability of picking a number greater than

5

and then picking a

4

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Write your answer as a percentage.

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Posted 1 month ago

Question

Jeanne's bank account earns interest annually. The equation shows her starting balance of

\$500

and her balance at the end of three years,

\$546.36

. At what rate

r

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546.36 = 500(1 + r)

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Posted 1 month ago

Question

Jeanne's bank account earns interest annually. The equation shows her starting balance of

\$ 350

and her balance at the end of three years,

\$ 422.78

. At what rate r did Jeanne earn interest?

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422.78=350(1+r)^{3}

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Posted 1 month ago

Question

A leaky

10\text{-kg}

bucket is lifted from the ground to a height of

14\, \text{m}

at a constant speed with a rope that weighs

0.6\, \text{kg/m}

. Initially the bucket contains

42\, \text{kg}

of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the

14\, \text{m}

level. How much work is done? (Use

9.8\, \text{m/s}^2

for

g

.) Show how to approximate the required work (in

\text{J}

) by a Riemann sum. (Let

x

be the height in meters above the ground. Enter

x_i^*

x_i

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Posted 1 month ago

Question

A leaky

10-\mathrm{kg}

bucket is lifted from the ground to a height of

14

m at a constant speed with a rope that weighs

0.6 \mathrm{~kg} / \mathrm{m}

. Initially the bucket contains

42

kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the

14-\mathrm{m}

level. How much work is done? (Use

9.8 \mathrm{~m} / \mathrm{s}^{2}

for g .)

\newline

Show how to approximate the required work (in J) by a Riemann sum. (Let

x

be the height in meters above the ground. Enter

x_{i}^{* *}

x_{i}

)

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\lim _{n \rightarrow \infty} \sum_{i=1}^{n}\left(\boxed{98+35.28 x_{i}}\right) \Delta x

\newline

Express the work (in J) as an integral in terms of

x

(in m).

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\int_{0}^{14}(98+35.28 x

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Evaluate the integral (in J). (Round your answer to the nearest integer.)

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Posted 1 month ago

Question

Solve the equation.

\newline

6 w^{7}=98,304

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Posted 1 month ago

Question

A leaky

10\text{-kg}

bucket is lifted from the ground to a height of

14\text{ m}

at a constant speed with a rope that weighs

0.6\text{ kg/m}

. Initially the bucket contains

42\text{ kg}

of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the

14\text{-m}

level. How much work is done? (Use

9.8\text{ m/s}^2

for

g

.) Show how to approximate the required work (in

\text{J}

) by a Riemann sum. (Let

x

be the height in meters above the ground. Enter

x_i^*

x_i

Get tutor help

Posted 1 month ago

Question

\begin{array}{l}f(t)=\left\{\begin{array}{ll}-\frac{64}{t} & , \quad t=8 \\ 14-t & , \quad t=10 \\ t^{2}-3 t+2 & , \quad t \neq 8,10\end{array}\right. \\ f(2)=\square\end{array}

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Posted 1 month ago

View all (3)

Complete the equation of the line through (−8,8)(-8, 8)(−8,8) and (1,−10)(1, -10)(1,−10).

Complete the equation of the line through $(-8, 8)$ and $(1, -10)$ .