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2 years ago

What two kinds of exponents are not allowed to be in a polynomial?

Mathematics

1 answer:

Gekata [30.6K]2 years ago

7 0

Answer:

The short answer is that polynomials cannot contain the following: division by a variable, negative exponents, fractional exponents, or radicals.

Step-by-step explanation:

The short answer is that polynomials cannot contain the following: division by a variable, negative exponents, fractional exponents, or radicals.

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What is the simplified form of the expression 2 * [(1+14)*7]+6/0.5^3?

natali 33 [55]

2*(1+ 14)7 + 6/0.5^3
= 2*15*7 + 6/ 0.125
=210 + 6000/125
= 210 + 48 = 258

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2 years ago

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3 years ago

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The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.

valina [46]

Answer:

A sample of 179 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:

$\alpha = \frac{1 - 0.85}{2} = 0.075$

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 $1 - 0.075 = 0.925$ , so Z = 1.44.

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.

A previous study found that for an average family the variance is 1.69 gallon?

This means that $\sigma = \sqrt{1.69} = 1.3$

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

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

$0.14 = 1.44\frac{1.3}{\sqrt{n}}$

$0.14\sqrt{n} = 1.44*1.3$

$\sqrt{n} = \frac{1.44*1.3}{0.14}$

$(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2$

$n = 178.8$

Rounding up

A sample of 179 is needed.

7 0

2 years ago

ASAP h(t)=-5t^2+5t+10<br><br> Please help me find roots and roots equation

Alex

Answer:

t = -1, 2

Step-by-step explanation:

Step 1: Define

h(t) = -5t² + 5t + 10

Step 2: Factor

h(t) = -5(t² - t - 2)

h(t) = -5(t - 2)(t + 1)

Step 3: Find roots

0 = -5(t - 2)(t + 1)

0 = (t - 2)(t + 1)

t - 2 = 0

t = 2

t + 1 = 0

t = -1

8 0

2 years ago