3 years ago

· Simplify the expression below. 3^5x9^2/3^4

Mathematics

1 answer:

inessss [21]3 years ago

5 0

Answer: 243

Step-by-step explanation:

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9. Solve 6/7 divided by 36/56 and put answer in simplest form.

motikmotik

The answer is C. 4/3

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3 years ago

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A carpenter has two lengths of wood; one is 108cm long and the other is 72cm long. He wants to cut them up to produce smaller pi

Y_Kistochka [10]

Answer:

36 centimeters.

Step-by-step explanation:

1. To solve this problem you must find the Greatest common factor.

2. List the prime factor of 108 and 72:

$108:(2)(2)(3)(3)(3)=(2^{2})(3^{3})\\ 72:(2)(2)(2)(3)(3)=(2^{3})(3^{2})$

3. Now, you must choose the common prime numbers with the lowest exponents and multiply them:

$(2^{2})(3^{2})=(4)(9)=36$

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3 years ago

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The data show the traveler spend- ing in billions of dollars for a recent year for a sample of the states. Find the range, varia

Svetllana [295]

Solution :

Given data :

20.1 33.5 21.7 58.4 23.2 110.8 30.9

24.0 74.8 60.0

n = 10

Range : Arranging from lowest to highest.

20.1, 21.7, 23.2, 24.0, 30.9, 33.5, 58.4, 60.0, 74.8, 110.8

Range = low highest value - lowest value

= 110.8 - 20.1

= 90.7

Mean = $\frac{\sum x}{n}$

$=\frac{20.1+21.7+23.2+24.0+30.9+33.5+58.4+60.0+74.8+110.8}{10}$

$=\frac{457.4}{10}$

$=45.74$

Sample standard deviation :

$S=\sqrt{\frac{1}{n-1}\sum(x-\mu)^2}$

$S=\sqrt{\frac{1}{10-1}(20.1-45.74)^2+(21.7-45.74)^2+(23.2-45.74)^2+(24.0-45.74)^2+(30.9-45)^2}$

$\sqrt{(33.5-45.74)^2+(58.4-45.74)^2+(60.0-45.74)^2+(74.8-45.74)^2+(110.8-45.74)^2}$

$S=\sqrt{\frac{1}{9}(657.4+577.9+508.0+472.6+220.2+149.8+160.2+203.3+844.4+4232.8)}$ $S=\sqrt{\frac{1}{9}(8026.96)}$

$S=\sqrt{891.88}$

S = 29.8644

Variance = $S^2$

$=(29.8644)^2$

= 891.8823

6 0

3 years ago

Isosceles trapezoid ABCD has legs AB and CD and base BC. If AB=5y - 10, BC=6y+2, and CD = 2y+8, find the value of Y.

pishuonlain [190]

Hello from MrBillDoesMath!

Answer:

Choice C (6)

Discussion:

Since it is an isosceles trapezoid the length of the two legs (i.e. AB = 5y-10 and CD = 2y+8) are equal. In other words,

5y - 10 = 2 y + 8

Subtract 2y from each side:

5y - 2y - 10 = 8

Now add 10 to each side

5y - 2y - 10 + 10 = 8 + 10 =>

3y + 0 = 18 =>

3y = 18 =>

y = 6

Regards,

MrB

3 0

4 years ago

Solve each scientific notation <br><br> PLEASE HELP!!!!!!

vaieri [72.5K]

Answer:

A-610000
A-.0043
A-21000

Step-by-step explanation:

1. =6.1*105

=6.1*(10*10*10*10*10)

=610000

2. =0.43*10−2

=0.43* 1 /10*10

=0.0043

3. 2.1(104)

=2.1*104

=2.1*(10*10*10*10)

=21000

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3 years ago

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