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ELEN [110]
3 years ago
6

What is the domain of the function y=3\sqrt(6x+42)

Mathematics
1 answer:
anzhelika [568]3 years ago
4 0
(-infinity sign,-7) (-7, infinity sign)
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You need to paint a decorative garden ornament that is in the shape of pyramid with a square base that is 3 inches long and has
Tom [10]

Answer:

Step-by-step explanation:

You need to paint a decorative garden ornament that is in the shape of pyramid with a square base that is 3 inches long and has a slant height of 13 inches.

a. A smaller pyramid has linear dimensions that are 3/4 times that of the larger pyramid. Does the smaller pyramid require 3/4 times the amount of paint? Explain: Answer: Yes

b. Another pyramid has triple the base lengths but the same slant height. Does this pyramid require triple the paint as the original pyramid? Explain.                      Answer: No

3 0
3 years ago
The Student Monitor surveys 1200 undergraduates from 100 colleges semiannually to understand trends among college students. Rece
nlexa [21]

Answer:

A sample size of 385 is needed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

You feel that a reasonable estimate of the standard deviation is 10.0 hours.

This means that \sigma = 10

What sample size is needed so that the expected margin of error of your estimate is not larger than one hour for 95% confidence?

A sample size of n is needed. n is found when M = 1. So

M = z\frac{\sigma}{\sqrt{n}}

1 = 1.96\frac{10}{\sqrt{n}}

\sqrt{n} = 1.96*10

(\sqrt{n})^2 = (1.96*10)^2

n = 384.16

Rounding up:

A sample size of 385 is needed.

7 0
3 years ago
Solve the inequality for x.<br> 6 - 5x2 21
Ivahew [28]

Answer:

x = -3/2 = -1.500

x = 7/3 = 2.333

Step-by-step explanation:

3 0
3 years ago
A father wants to build an octagonal (that is, 8-sided) play pen for his toddler. Each side of the octagon has a length of 3√50
Margarita [4]
The answer is 120 * sqrt of 2

3 * sqrt of 50 * 8 = 24 * sqrt of 50
24 * sqrt of 50 simplifies to 120 * sqrt of 2
6 0
4 years ago
Which expression best represents the phrase"7 less than the quotient of 2x and 5"
vichka [17]

Answer:

x9-7

Step-by-step explanation:

3 0
3 years ago
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