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Natalija [7]
2 years ago
15

Solve the equation

TexFormula1" title="16 {}^{2x - 3} = 8 {}^{4x} " alt="16 {}^{2x - 3} = 8 {}^{4x} " align="absmiddle" class="latex-formula">
​

Mathematics
1 answer:
kompoz [17]2 years ago
3 0

Answer:

<h2>n = -3</h2>

Step-by-step explanation:

16=2^4\\\\8=2^3\\\\16^{2n-3}=8^{4n}\\\\(2^4)^{2n-3}=(2^3)^{4n}\qquad\txt{use}\ (a^n)^m=a^{nm}\\\\2^{(4)(2n-3)}=2^{(3)(4n)}\iff4(2n-3)=12n\qquad\text{use the distributive property}\\\\(4)(2n)+(4)(-3)=12n\\\\8n-12=12n\qquad\text{subtract}\ 8n\ \text{from both sides}\\\\-12=4n\qquad\text{divide both sides by 4}\\\\\dfrac{-12}{4}=\dfrac{4n}{4}\\\\-3=n\to n=-3

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Answer:

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A bus travels with a constant speed of 48 miles per hour. How long will it take to travel 60 miles? Write your answer as a decim
mrs_skeptik [129]
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The velocity v of the flow of blood at a distance r from the central axis of an artery of radius R is given below, where k is th
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The average rate of blood flow is given by

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3 0
2 years ago
A population of size 320 has a proportion equal to .60 for the characteristic of interest. What are the mean and the standard de
tiny-mole [99]

Answer:

The answer is c.) 0.6 and 0.14

Step-by-step explanation:

Given population has a size of 320.

The proportion of population = 0.6

The mean of population, p = 0.6

The mean of sample, \hat{p}= 0.6

Therefore \hat{q}  = 1 - \hat{p} = 1 - 0.6  = 0.4

The sample size  = 12

Therefore the standard deviation of the sample,

s = \sqrt{\frac{\hat{p}(1 - \hat{p})}{n} }  = \sqrt{\frac{0.6 \times 0.4}{12} }  = 0.1414

The mean and the standard deviation for a sample size of 12 are 0.6 and 0.14 respectively.

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6 0
3 years ago
I have no idea how to do this, pls help. Question in the picture. Please show your work. Thanks!
geniusboy [140]

Answer:

C

Step-by-step explanation:

This is a stem and leaf plot. If you don't know what a stem and leaf plot is, try searching it before coming back and viewing the solution. I also see an "example" button. It might help to hit that too.

First, we sort the list of numbers. Here is what we get:

64, 66, 67, 68, 69, 74, 75, 76, 78, 79

Here, the stems are the tens digits and the leaves are the ones digits.

Therefore, for the stem 6, the leaves are:

4, 6, 7, 8, 9

For the stem 7, the leaves are:

4, 5, 6, 8, 9

The answer, I believe, is C

4 0
2 years ago
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