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Serjik [45]
3 years ago
6

Solve S = 2tr(h + r) for h.

Mathematics
1 answer:
Ivanshal [37]3 years ago
4 0

Answer:

7h

Step-by-step explanation:

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(5/6)^4x=(36/25)^9-x, please help solve for x, and the 9-x is all superscript
stiks02 [169]
\frac{36}{25}=\frac{6^2}{5^2}=\left(\frac{6}{5}\right)^2=\left(\frac{5}{6}\right)^{-2}\\\\therefore:\\\\\left(\frac{5}{6}\right)^{4x}=\left[\left(\frac{5}{6}\right)^{-2}\right]^{9-x}\\\\\left(\frac{5}{6}\right)^{4x}=\left(\frac{5}{6}\right)^{-2(9-x)}\iff4x=-2(9-x)\\\\4x=-2\cdot9-2\cdot(-x)\\\\4x=-18+2x\ \ \ \ \ |subtract\ 2x\ from\ both\ sides\\\\2x=-18\ \ \ \ \ \ |divide\ both\ sides\ by\ 2\\\\\boxed{x=-9}


Use:\\a^{-n}=\left(\frac{1}{a}\right)^n\\\\\left(a^n\right)^m=a^{n\cdot m}\\\\\left(\frac{a}{b} \right)^n=\frac{a^n}{b^n}
6 0
3 years ago
Read 2 more answers
Solve for v. -8(v+7)=3v-23 Simplify your answer as much as possible. v=
aksik [14]

Answer:

v = -3

Step-by-step explanation:

-8(v + 7) = 3v - 23

Expand.

-8v - 56 = 3v - 23

Add -3v and 56 on both sides.

-8v - 56 + 56 - 3v = 3v - 23 + 56 - 3v

-8v - 3v = -23 + 56

Combine like terms.

-11v = 33

Divide -11 into both sides.

-11v/-11 = 33/-11

v = -3

3 0
3 years ago
Read 2 more answers
Given that events A and B are independent with P(A)=0.24P(A)=0.24 and P(B|A)=0.85P(B∣A)=0.85, determine the value of P(B)P(B), r
NemiM [27]

Answer:

P(B) = 0.85

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

P(A) = 0.24, P(B|A) = 0.85

These events are independent.

This means that P(A \cap B) = P(A)*P(B). So

P(B|A) = \frac{P(A \cap B)}{P(A)}

P(B|A) = \frac{P(A)*P(B)}{P(A)}

P(B|A) = P(B)

So

P(B) = 0.85

5 0
3 years ago
Match the equation with the step needed to solve it.
ivanzaharov [21]
Send more info , you have to match the 3 with 2
7 0
3 years ago
What temperature Is 6 degrees less than 2 degrees Celsius
OverLord2011 [107]
What temperature Is 6 degrees less than 2 degrees Celsius?All you have to do for this one is do 2-6 which is -4.
Hope I helped and good luck!
5 0
4 years ago
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