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elena-s [515]
3 years ago
15

PLEASE HELP Solve. m^-5 = 1/32 m = ________ ?

Mathematics
1 answer:
4vir4ik [10]3 years ago
3 0
a^{-n}=\frac{1}{a^n}\\\\m^{-5}=\frac{1}{32}\iff m^5=\frac{1}{\frac{1}{32}}\to m^5=32\iff m=\sqrt[5]{32}\to m=2\\\\because\ 2^5=32\\\\Answer:\boxed{m=2}
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A reporter for a student newspaper is writing an article on the cost of off-campus housing. A sample was selected of 10 one-bedr
olga55 [171]

Answer:

(507.05, 592.95)

Step-by-step explanation:

Given data:

sample mean = $550, sample standard deviation S = $60.05

95% confidence interval , n = 10

For 95% confidence interval for the mean

mean ± M.E.

where M.E. is margin of error = t_{n-1}, \alpha/2\times\frac{S}{\sqrt{n} }

Substituting the values in above equation

=t_{10-1}, 0.05/2\times\frac{60.05}{\sqrt{10} }

= 2.62×18.99

=42.955

= 550±42.95

=(507.05, 592.95)

6 0
3 years ago
sally has 20 coins in her piggy bank,all dimes and quarters. The total amount of money is $3.05. How many of each coin does she
Dafna11 [192]
Let d = number of dimes, q = number of quarters 

<span>Sally has 20 coins in her piggy bank, so </span>
<span>d + q = 20 </span>

<span>The total amount of money is $3.05. </span>
<span>Use the value of each coin multiplied by its number to get total value </span>
<span>.10d + .25q = 3.05 </span>
<span>multiply everything by 100 to clear the decimal places </span>
<span>10d + 25q = 305 and </span>
<span>d + q = 20 </span>

<span>solve the second equation above in terms of either d or q - lets do d </span>
<span>d = 20 - q </span>
<span>sub that into the first equation </span>
<span>10d + 25q = 305 </span>
<span>10(20 - q) + 25q = 305 </span>
<span>200 - 10q + 25q = 305 </span>
<span>15q = 105 </span>
<span>q = 105/15 = 7 </span>
<span>and from above </span>
<span>d = 20 - q = 20 - 7 = 13 </span>

<span>so, there are 13 dimes and 7 quarters </span>
<span>verify with orig problem </span>
<span>13 + 7 = 20, OK, and $1.30 + $1.75 = $3.05 
</span>
5 0
3 years ago
Read 2 more answers
Helppppp rn please.
scoundrel [369]
1) neither. that’s not one of your answer choices so just pick one (maybe odd ‍♀️)
2) 2 is the answer. Plug in 1 for x, raise everything to its power (which will end up being 1), then use PEMDAS to solve
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3 years ago
What will be the account balance after 20 years?
kompoz [17]

Answer:

We need the problem!

Step-by-step explanation:


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3 years ago
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What is the algebraic expression for the quotient of z and 3
Zielflug [23.3K]
The quotient of z and 3.

quotient = ÷

z/3

The answer is A.
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