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kompoz [17]
4 years ago
13

Can someone explain to me how to do this problem with work

Mathematics
1 answer:
DiKsa [7]4 years ago
5 0

Answer:

x = 6

Step-by-step explanation:

25^(x + 4) = 5^20

Write 25 as a power of 5:

(5^2)^(x + 4) = 5^20

Use exponent rules:

5^(2x + 8) = 5^20

Equate the exponents:

2x + 8 = 20

2x = 12

x = 6

You might be interested in
Legalize Marijuana, Part II. As discussed in Exercise 6.12, the 2010 General Social Survey reported a sample where about 48% of
kvv77 [185]

Answer:

Around 2397 Americans must be surveyed to get a margin of error of 2%.

Step-by-step explanation:

We are given the following in the question:

Proportion of US residents who thinks marijuana should be made legal = 48%

\hat{p} = 0.48

We have to construct a 95% confidence interval.

Margin of error = 2% = 0.02

Formula for margin of error =

z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting values, we get,

0.02 = 1.96\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\0.02 = 1.96\times \sqrt{\dfrac{0.48(1-0.48)}{n}}\\\\\sqrt{n} = 1.96\times \dfrac{\sqrt{0.48(1-0.48)}}{0.02}\\\\\sqrt{n}=48.96\\n = 2397.0816\approx 2397

Thus, around 2397 Americans must be surveyed to get a margin of error of 2%.

8 0
3 years ago
Help I will gvie brainiest
Nataliya [291]

Shelly runs 2.5 miles every 18 mins. To find out how many minutes it takes her to run one mile, let's divide 18 by 2.5

18 mins / 2.5 miles = 7.2 mins / mile

8 0
3 years ago
How do you solve 125 - (5-9)^3÷2
hoa [83]
Solve what is in parenthesis first (5-9) = -4

Solve exponents next -4^3 = -64

Divide next
- 64 \div 2
= -32

Lastly, subtract and resolve the negatives which become a positive number 125 - (-32) = 125 + 32 = 157
8 0
4 years ago
What is:<br> 9e−7=7e−11<br> Show Work
dexar [7]

Answer: -2

Step-by-step explanation:

9e-7=7e-11

-7e         -7e

2e-7=-11

   +7  +7

2e=-4

/2   /2

e=-2

7 0
3 years ago
Can someone help me with this question?????????
pishuonlain [190]
Area of the circle can be calculated using the following rule:
area = pi*(radius)^2

For the first circle:
We are given that:
area = 1040.9 square units ....> I

For the second circle:
We are given that:
radius = 27 units
Therefore:
area = pi * (27)^2 = 2290.221044 square units ....> II

For the third circle:
We are given that:
circumference = 87.92 units
Therefore:
circumference = 2*pi*radius = 87.92
radius = 13.99 units
area = pi*(13.99)^2 = 615.12799 square units ...> III

For the fourth circle:
We are given that:
diameter = 19 units
Therefore:
radius = 19/2 = 9.5 units
area = pi*(9.5)^2 = 283.528 square units ....> IV

Based on the above, the order according to increasing area would be:
IV , III , I , II

hope this helps :)
4 0
3 years ago
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