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Ket [755]
4 years ago
9

Simplify the rational expression. State any restrictions on the variable.

Mathematics
1 answer:
natulia [17]4 years ago
8 0

Answer:

t+4, t≠8

Step-by-step explanation:

\dfrac{t^2-4t-32}{t-8}=\dfrac{(t+4)(t-8)}{(t-8)}=t+4

The value of t must not be one that makes the denominator zero, hence must not be 8.

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State the conclusion based on the results of the test. The standard deviationstandard deviation inin the pressure required to op
inysia [295]

Answer:

<u>B. There is sufficient evidence that the mean of the pressure required to open a certain valve has changed. </u>

Step-by-step explanation:

We make this conclusion based on these reasons:

  1. We are told that the "null hypothesis was rejected" after the <em>"manager feels that the pressure variability has changed.,</em> meaning the <u>null hypothesis was the opposite of what occurred; that is to say, it is the alternate hypothesis that proved true instead.</u>
  2. <em>"changes in the manufacturing​ process"</em> form what can be called "sufficient evidence" that the mean of the pressure required to open the valve has changed, thereby going against the null hypothesis.

It is based on the above reasons that the null hypothesis was rejected.

4 0
3 years ago
if a town with a population of 500 doubles in size ever 9 years, what will the population be 36 years from now?
s344n2d4d5 [400]

The population of the town in 36 years would be  8000.

<h3>What would be the population of the town in 36 years?</h3>

The formula that can be used to determine the town's population is:
FV = P (1 + r)^n

Where:

  • FV = Future value
  • P = Present value
  • R = rate of growth = 100%
  • N = number of years = 36/9 = 4

500 x 2^4 = 8000

To learn more about future value, please check: brainly.com/question/18760477

4 0
2 years ago
A+2/a-5÷a+1/a2-8a+15
krok68 [10]
For A+\frac{2}{a}-\frac{5}{a}+\frac{1}{a^2}-8a+15

Combine the fractions \frac{2}{a}  -  \frac{5}{a} \ \textgreater \  \mathrm{Apply\:rule}\:\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c} \ \textgreater \  \frac{2-5}{a}


\mathrm{Subtract\:the\:numbers:}\:2-5=-3 \ \textgreater \  \frac{-3}{a}

\mathrm{Apply\:the\:fraction\:rule}:\ \frac{-a}{b}=-\frac{a}{b} \ \textgreater \  -\frac{3}{a}

Therefore our final answer is A-\frac{3}{a}+\frac{1}{a^2}-8a+15

Hope this helps!
3 0
3 years ago
Millions of years ago, the Indian plate began pushing gradually towards the Eurasian plate. The land above started rising in var
deff fn [24]
Folded mountain with waves, twists, and turns. I believe because the article stated it was gradual and various patterns were formed.
7 0
3 years ago
What is the answer to this?
yKpoI14uk [10]

Answer:

I think it is 24 but I don't know the rest sorry 乁( •_• )ㄏ

7 0
3 years ago
Read 2 more answers
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