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Burka [1]
3 years ago
9

What is 4 to the -2 power divided by 4 to the 4th power

Mathematics
1 answer:
igomit [66]3 years ago
7 0

Answer:

4 to the -2 power divided by 4 to the 4th power

\frac{ {4}^{ - 2} }{ {4}^{4} }  =  \frac{1}{( {4}^{2} \times  {4}^{4} ) }  =  \frac{1}{ {4}^{(2 + 4)} }  =  \frac{1}{ {4}^{6} }  =  \frac{1}{4096}\\

<h3>(1/4096) is the right answer.</h3>
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A backyard pool has a concrete walkway around it that is 5' wide on all sides the total area of the pool and the walkway is 950'
Soloha48 [4]

The dimensions of the pool would give a quadratic equation x² + 28x - 770 = 0

<h3>How to determine the dimension</h3>

For the pool, we have that;

Let the width = x feet

Length = (x+8) feet

The pool alongside the walkway gives;

Width = x + 5 + 5 = (x + 10) feet

Length = x + 8 + 5 + 5 = (x + 18) feet

Total area of the pool with walkway = 950 square feet

Note that formula for area is given as

Area = length * width = 950

Equate the length and width

(x+18)  × (x + 10) = 950

Using the  FOIL method, we have;

(x × x )+ (x × 10) + (18 × x) + (18 × 10) = 950

x² + 10x + 18x + 180 -950 = 0  

collect like terms

x² + 28x - 770 = 0

Thus, the dimensions of the pool would give a quadratic equation x² + 28x - 770 = 0

Learn more about area of a rectangle here:

brainly.com/question/14137384

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3 0
2 years ago
What’s the answer?????
posledela

Answer:9

Step-by-step explanation: x+4=13

x=13-4

x=9

3 0
3 years ago
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Evaluate at the given value <br> 4x^2+6x-5 when x=-3
malfutka [58]
That is 4(-3)^2 + 6(-3) - 5  =   36 - 18 - 5 =   13 Answer
4 0
3 years ago
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Translate "Three is less than thirty-seven" into a mathematical expression.
scoray [572]

3  < 37
Hope it will help you
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Ted and Alan are in a race to double their money. Ted feels he will win if he puts his $4,000 into a savings account offering 4.
siniylev [52]
Ted: 
4,000 @ 4.5% interest compounded annually

Alan:
1,000 @ 6% interest compounded annually 

Rule of 72: divide 72 by the compound annual interest rate

Ted: 72/4.5% = 16 years
Alan: 72/6% = 12 years

<span>Alan will win. It will take 12 years.</span>
8 0
3 years ago
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