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3 years ago

HELP What is the slope of the line that contains points (-6, -6) and (-3, 1)?

Mathematics

1 answer:

eimsori [14]3 years ago

5 0

Here is the answer: I hope you understand the work!

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What is the Surface Area of this Prism?

larisa86 [58]

Answer:

The lateral surface area of a prism is the sum of the areas of its lateral faces. The total surface area of a prism is the sum of the areas of its lateral faces and its two bases.

5 0

2 years ago

Find the sum of the geometric series given a1=2, r=−3, and n=8.

inn [45]

Answer:

Sum of the G.P is -3280

Step-by-step explanation:

Summation:

${ \bf{sum = \frac{a( {r}^{n }-1 )}{r - 1} }} \\ \\ { \tt{sum = \frac{2( { { - 3}^{8 } -1)} }{ - 3 - 1} }} \\ { \tt{ = \frac{13120}{-4} }} \\ = -3280$

3 0

3 years ago

Read 2 more answers

Match each power of a power expression with its simplified expression.

VARVARA [1.3K]

Answer:

> $(4^6)^{-3}$ = $\frac{1}{4 ^ {18}}$

> $(4^{-3})^{-3}$ = $4 ^ 9$

> $(4^0)^{-9}$ = $4 ^0$

> $(-4^{-9})^2$ = $(-4) ^ {-18}$

Step-by-step explanation:

We have to expand the powers of each of them:

> $(4^6)^{-3}$ = $4^{(6 * -3)}$

= $4 ^ {-18}$

$(4^6)^{-3}$ = $\frac{1}{4 ^ {18}}$

> $(4^{-3})^{-3}$ = $4 ^ {(-3 * -3)}$

$(4^{-3})^{-3}$ = $4 ^ 9$

> $(4^0)^{-9}$ = $4 ^ {(0 * -9)}$

$(4^0)^{-9}$ = $4 ^0$

> $(-4^{-9})^2$ = $-4 ^ {( -9 * 2)}$

$(-4^{-9})^2$ = $-4 ^ {-18}$

8 0

2 years ago

Read 2 more answers

A worn, poorly set-up machine is observed to produce components whose length X follows a normal distribution with mean 14 centim

Akimi4 [234]

Answer:

74.86% probability that a component is at least 12 centimeters long.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 14$