4 ^sqrt 400/ 4^ sqrt 5

Answers

Answer 1

Answer: 4^ sqrt(400) / (4^ sqrt(5))
= 4^20/ 4^ sqrt(5)
= 4^ (20- sqrt(5)

The final answer is 4^ (20- sqrt(5)~

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What is the value of the expression? 19.2+(–7+3.8)a. 16b. 24c. 29d. 30
In a port, the median weight of a container is 4,700 lbs, with a standard deviation of 500 pounds. 14% of the containers weigh more than 5,900 pounds.Why can't this data be represented by a normal distribution? Because the containers are too heavy. Because the standard deviation is too small. Because the standard deviation is too big. Because we don't know the number of containers.
Please help me as soon as possible
You have the numbers 1-25 written on slips of paper. if you choose one slip at random, what is the probability that you will select a number that is divisible by 5?3/5 4/25 1/5 8/25
Which factor do 9x2 + 30x + 25 and 9x2 – 25 have in common?O 3x + 25o 9x²O 3x - 5O 3x + 5

Liam volunteers to help plan the event. First month he volunteered for x hours. The next month he volunteered for 2 times as many hours as he had the first month. If he volunteered for a total of 45 hours,how many hours did he volunteer during the first month? Write an equation to represent the situation and solve

Answers

Answer:

0/3 that’s what my teacher said on this test

Step-by-step explanation:

Write the first three terms of the series for which tn = 2(n+3). Find the number of terms of the series required to make the sum 228.

Answers

Answer:

The first three terms of the series are 8, 10 and 12. The number of terms is 12 to make the sum 228.

Step-by-step explanation:

The series is defined as

$t_n=2(n+3)$

Put n=1.

$t_1=2(1+3)=2* 4=8$

Put n=2.

$t_2=2(2+3)=2* 5=10$

Put n=3.

$t_3=2(3+3)=2* 6=12$

The first three terms of the series are 8, 10 and 12.

It is an arithmetic series. The first terms is 8 and the common difference is

$d=a_2-a_1=10-8=2$

The sum of n terms of an arithmetic series is

$S_n=(n)/(2)[2a+(n-1)d]$

$288=(n)/(2)[2(8)+(n-1)2]$

$288=(2n)/(2)[8+n-1]$

$288=n[n+7]$

$0=n^2+7n-288$

$0=n^2+19n-12n-288$

$0=n(n+19)-12(n+19)$

$0=(n+19)(n-12)$

Equate each factor equal to zero.

$n=-19,12$

The number of terms can not be negative, therefore the value of n must be 12.

Convert 70% to a number when the whole is 150

Answers

Answer:

46 2/3 or 46.67

Step-by-step explanation:

100/150×70=46.67

use hundred n available positions,in this case 70 is the percentage and 150 is the whole so multiply the percent by hundered and then divide by 150 to get ur answer

an environmental group is making signs for an upcoming community recycling day. They want the signs to be equilateral triangles with heights of 35 in. How long in inches is each side of the signs be? Round your answer to the nearest tenth of an inch

Answers

Hello,

If x is the hypotenus,x/2 is the half base of the triangle
so with the Pythagorean theorem, we know that:

x²=(x/2)²+35²
==>x²=x²/4 +35²
==>3x²/4=35²
==>x²=4*35² /3
==>x=2*35/√3
==>x=70/√3
==>x=40,41451884...≈40.4 (in)

This is a question for Pythagoras!

x^2 - 1/2x^2 = 35^2
1/2x^2 = 35^2
x^2 = 2(35^2)
x^2 = 2450
x = 49.49747

To the nearest tenth of an inch, the answer is 49.5

Solve each equation by factoring.
1) a^2- 9a + 14 = 0

Answers

it’s c [7,2] for sure! :)

50 POINTS!!!!-
The Dust Bowl hit middle America a few years after the Great Depression started, and the Dust Bowl was considered one of the causes that continued the Great Depression during the 1930’s. Explain in three sentences how this natural disaster affected America’s economy in the 1930’s?

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The Dust bowl was a terrible event that caused many people to lose money. Not only that, but the fact that they lost money meant that they where contributing to the Great Depression. The Great Depression started in the US, thanks to events like the Dust Bowl.

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