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Sonja [21]
3 years ago
5

Simplify the expression where possible. (r ^-3 s^2 t) ^4

Mathematics
1 answer:
ASHA 777 [7]3 years ago
3 0

Use\\\\(ab)^n=a^nb^n\\\\ (a^n)^m=a^{n\cdot m}\\-------------------\\\\\left(r^{-3}s^2t\right)^4=\left(r^{-3}\right)^4\left(s^2\right)^4(t)^4=r^{(-3)(4)}s^{(2)(4)}t^4\\\\=\boxed{r^{-12}s^8t^4}\to\boxed{\dfrac{s^8t^4}{r^{12}}}

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PLEASE GIVE ME AN ANSWER QUICKLY! Hiroshi spends 30 minutes on history homework , 60 minutes on English homework, and x minutes
natka813 [3]

Answer:

A

Step-by-step explanation:

  • He spends:
  • 30 mins on History
  • 60 mins on English
  • x mins on math
  • so the total time he spends is (TotalTime)minutes=(30+60+x)minutes
  • one fourth of this is his math time, since x is math time, then we have \frac{1}{4}(TotalTime)minutes=(x)minutes
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8 0
3 years ago
There are originally five white sheep and seven black sheep. then a wolf eats two sheep of each color. after the wolf has eaten,
kumpel [21]

Final number of white sheep = 5 - 2 =3


Final number of black sheep = 7 - 2 = 5


ANSWER product = 3*5 = 15


\textbf{Spymore}​​

8 0
3 years ago
What is the relation between the variables in the equation y/x^2=10
Slav-nsk [51]
The given expression is:

\frac{y}{ x^{2} } =10

which gives:

y = 10x^{2}

This implies that y and x^2 have an inverse relationship and "10" is the constant term in this expression. 





8 0
4 years ago
Read 2 more answers
A 90% confidence interval is (35 45). What is the margin of error?
Sergio039 [100]

Answer:

option a 5......

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7 0
3 years ago
Assume that blood pressure readings are normally distributed with a mean of 124 and a standard deviation of 6.4. If 64 people ar
Murrr4er [49]

Answer:

99.38%

Step-by-step explanation:

We have that the mean (m) is equal to 124, the standard deviation (sd) 6.4 and the sample size (n) = 64

They ask us for P (x <126)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / (sd / (n ^ 1/2))

We have all these values, replacing we have:

z = (126 - 124) / (6.4 / (64 ^ 1/2))

z = 2.5

With the normal distribution table (attached), we have that at that value, the probability is:

P (z <2.5) = 0.9938

The probability is 99.38%

4 0
3 years ago
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