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bagirrra123 [75]
2 years ago
14

Find the product of 2r^2(6r^3+14r^2-30r+14)

Mathematics
2 answers:
steposvetlana [31]2 years ago
8 0

Answer: 2r2(6r3+14r2−30r+14)

Step-by-step explanation:

Apply the distributive property

2r2(6r3)+2r2(14r2)+2r2(−30r)+2r2⋅14

Simplify

2⋅6(r2r3)+2⋅14(r2r2)+2⋅−30(r2r)+28r2

Simplify each term

12r5+28r4−60r3+28r2

mylen [45]2 years ago
6 0

Answer:

<em>12 </em>r^{5}<em> + 28 </em>r^{4}<em> - 60 r³ + 28 r² </em>

Step-by-step explanation:

a(b ± c) = ab ± ac (distributive property)

a^{m} * a^{n} = a^{m+n}

2r²(6r³ + 14r² - 30r + 14) = <em>12 </em>r^{5}<em> + 28 </em>r^{4}<em> - 60 r³ + 28 r²</em>

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Work out the size of the interior angle of a regular 16-sided polygon
sattari [20]

Answer:

157.5°

Step-by-step explanation:

Total size of interior angles=(2n-4)90°

(2x16-4)90= 2520

size of one interior angle= (2n-4)90°/n

2520/16

Answer= 157.5°

NB n is the number of sides

6 0
3 years ago
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Using the formula in model 1, choose the correct answers for the new balance and the amount of interest earned in the following
poizon [28]
Total = Principal * (1 + rate)^years
Total = 650 * (1.08)^14
<span>Total = 1,909.1</span>8

5 0
2 years ago
The scale on a map is ½ inch = 15 miles. How far apart are two towns that are 2 inches apart on the map? Someone help me please!
erastova [34]
The two towns would be 60 miles apart. Because 2 inches divided by 0.5 inches is 4. So you have to multiply 15 miles and you’ll 60 miles
5 0
3 years ago
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The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales
mihalych1998 [28]

Answer:

We conclude that the mean number of calls per salesperson per week is more than 37.

Step-by-step explanation:

We are given that the Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of 37 sales calls per week on professors.

To investigate, a random sample of 41 sales representatives reveals that the mean number of calls made last week was 40. The standard deviation of the sample is 5.6 calls.

<em><u>Let </u></em>\mu<em><u> = true mean number of calls per salesperson per week.</u></em>

SO, <u>Null Hypothesis</u>, H_0 : \mu \leq 37   {means that the mean number of calls per salesperson per week is less than or equal to 37}

<u>Alternate Hypothesis,</u> H_A : \mu > 37   {means that the mean number of calls per salesperson per week is more than 37}

The test statistics that will be used here is <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                        T.S.  = \frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean number of calls made last week = 40

             s = sample standard deviation = 5.6 calls

             n = sample of sale representatives = 41

So, <em><u>test statistics</u></em>  =   \frac{40-37}{\frac{5.6}{\sqrt{41} } }  ~ t_4_0

                               =  3.43

Hence, the value of test statistics is 3.43.

<em>Now at 0.025 significance level, the t table gives critical value of 2.021 at 40 degree of freedom for right-tailed test. Since our test statistics is more than the critical value of t as 3.43 > 2.021, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.</em>

Therefore, we conclude that the mean number of calls per salesperson per week is more than 37.

4 0
3 years ago
Simplify (6x2 - 3 + 5x3) - (4x3 - 2x2 - 16​
Masteriza [31]

Answer:

x^3 +8x^2 +13

Step-by-step explanation:

(6x^2 - 3 + 5x^3) - (4x^3 - 2x^2 - 16​)

Distribute the minus sign

6x^2 - 3 + 5x^3 -4x^3 + 2x^2 + 16​

Combine like terms

x^3 +8x^2 +13

8 0
3 years ago
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