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hjlf
3 years ago
7

The answer to the problem. I don't know how to solve the exponents

Mathematics
1 answer:
Margaret [11]3 years ago
7 0

When muliplying these terms you ADD the exponents so

7^0 * 7^4 * 7^16 = 7^(0+4+16) = 7^20 (NOTE you can any multiply when the base number, in this case 7, is the same)

so we simplify to

3^4 * 7^20

---------------

3^2 * 7^12

When dividing we SUBTRACT the exponents so 3^4 / 3^2 = 3^(4-2) = 3^2 and

7^20 / 7^12 = 7^8

so the answer is 3^2 * 7^8 <------- Option J


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3 years ago
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Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S
Harman [31]
ANSWER

y =  \frac{3}{2} x + 8



EXPLANATION

The line given to us has equation,

2x + 3y = 9

We need to write this equation in the slope intercept form to obtain,


3y =  - 2x + 9



\Rightarrow \: y =  -  \frac{2}{3}x + 3


The slope of this line is

m_1 =  -  \frac{2}{3}
Let the slope of the perpendicular line be

m_2

Then
m_1 \times m_2 =  - 1


-  \frac{2}{3} m_2=  - 1

This implies that,

m_2 =  - 1 \times  -  \frac{3}{2}


m_2 =  \frac{3}{2}



Let the equation of the perpendicular line be,

y = mx + b

We substitute the slope to get,


y =  \frac{3}{2} x + b

Since this line passes through
(-2,5)
it must satisfy its equation.


This means that,

5=  \frac{3}{2} ( - 2)+ b


5 =  - 3 + b



5 + 3 = b


b = 8

Wherefore the slope-intercept form is

y =  \frac{3}{2} x + 8
6 0
3 years ago
Hi I’m back again and I need help with this question on my daily common core review sheet. Thanks a lot, answer this and you get
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Answer:

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Solve the equation: [x-2]=[4+x]<br><br>x=
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X-2 = 4+x
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Answer: no solution / empty set  / ∅
6 0
3 years ago
Amistad deposited $2,163.27 in a savings account that earns 3.9% simple interest. What will Amistad's account balance be in nine
avanturin [10]

Given that Amistad deposited $2,163.27 in a savings account that earns 3.9% simple interest.

That means we need to use Simple interest formula to find the Amistad's account balance in nine months.


Simple interest formula is

A=P(1+RT)

Where P= principal amount = $2163.27

R= rate of interest = 3.9%= 0.039

T= time in years = 9 months = 9/12 years = 0.75


Now plug these values into above formula:

A=2163.27(1+0.039* 0.75)

A=2163.27(1+0.02925)

A=2163.27(1.02925)

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Hence Amistad's account balance in nine months will be approx $2226.55

8 0
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