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Elina [12.6K]
3 years ago
9

Write the factorizations of the exponents below and then compute the exponents below

Mathematics
1 answer:
matrenka [14]3 years ago
5 0

Given:

The exponents.

To find:

The factorizations of the exponents and their values.

Solution:

We know that,

a^n=a\times a\times a\times ...\times a(n-times)

Using this rule, we get the factorizations of the given exponents and their values.

2^3=2\times 2\times 2=8

3^2=3\times 3=9

6^2=6\times 6=36

4^3=4\times 4\times 4=64

7^3=7\times 7\times 7=343

8^2=8\times 8=64

3^4=3\times 3\times 3\times 3=81

7^2=7\times 7=49

6^3=6\times 6\times 6=216

9^2=9\times 9=81

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Step-by-step explanation:

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S = 93 log10(130) + 65

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Rewrite 7 − 8 using the additive inverse and display the new expression on a number line
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When we do the additive inverse property...we want to end up with a 0...so the inverse of 7 is -7 and the inverse of -8 is +8....we now have our new expression

-7 + 8

-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----
     -7    -6    -5  -4    -3    -2    -1    0     1      2    3     4     5      6    7     8
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Which number line best shows how to solve −4 − (−6)?
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3 years ago
Tobin is solving the equation 3(x - 1.25) = 11.25. His work is shown below.
castortr0y [4]

Answer: In the last steps, instead of multiply each side by 3, he has to divide each side by 3.

Step-by-step explanation:

Hi, Tobin makes the mistake in the last steps.

3(x-1.25) = 11.25  

3x-3.75= 11.25  

3x-3.75+3.75= 11.25+3.75  

3x = 15

Until this step is the work ok.

Now, instead of multiply each side by 3, he has to divide each side by 3:

So:

3x /3 = 15/3

x = 5

Feel free to ask for more if needed or if you did not understand something.

6 0
2 years ago
According to an NRF survey conducted by BIGresearch, the average family spends about $237 on electronics (computers, cell phones
schepotkina [342]

Answer:

7.64% probability that they spend less than $160 on back-to-college electronics

Step-by-step explanation:

Problems of normally distributed samples can be 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 = 237, \sigma = 54

Probability that they spend less than $160 on back-to-college electronics

This is the pvalue of Z when X = 160. So

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

Z = \frac{160 - 237}{54}

Z = -1.43

Z = -1.43 has a pvalue of 0.0763

7.64% probability that they spend less than $160 on back-to-college electronics

4 0
3 years ago
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