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earnstyle [38]
3 years ago
11

Simplify the following expression.

Mathematics
1 answer:
lana66690 [7]3 years ago
6 0

Answer:

D. log(9)

Step-by-step explanation:

log(9x^{5})+5log(\frac{1}{x})

Remember: A log (x) = log(x^{A})

log(9x^{5})+log((\frac{1}{x})^{5})

Remember: log_{a} (x)+log_{a}(y)=log_{a}(xy)

log(9(\frac{1}{x})^{5}x^{5})

Simplify...

log(9)

Hope this helps! If you need steps for simplifying, just ask! :]

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Which of the following is most likely the next step in the series?
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Answer:

C, because each time, the number of purple dots, or vertices increases by one..

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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the equation of the circle whose diameter has endpoints (8,-2) and (-2,6)?
klemol [59]

Answer:

(x-3)^{2} +(y-2)^{2}=41

Step-by-step explanation:

step 1

Find the diameter of the circle

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

A(8,-2)\\E(-2,6)  

substitute the values

d=\sqrt{(6+2)^{2}+(-2-8)^{2}}

d=\sqrt{(8)^{2}+(-10)^{2}}

d=\sqrt{164}\ units

d=2\sqrt{41}\ units

step 2

Find the center of the circle

The center is the midpoint of the diameter

The center is equal to

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C=(3,2)

step 3

Find the equation of the circle

The equation of the circle in center radius form is equal to

(x-h)^{2} +(y-k)^{2}=r^{2}

we have

(h,k)=(3,2)

r=2\sqrt{41}/2=\sqrt{41}\ units ---> the radius is half the diameter

substitute

(x-3)^{2} +(y-2)^{2}=(\sqrt{41})^{2}

(x-3)^{2} +(y-2)^{2}=41

4 0
4 years ago
The drug store is having a sale where all merchandise is 1/4 off. A woman buys $30 of merchandise at a sale price. What would sh
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$30 = 75%, so divide it by three and you got your 25%, which ia $10.
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So the answer is $40.

Hope this helps.
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Find the measure of each exterior angle of a regular 56-gin
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The sum of the measure of the exterior angles of any polygon is 360. x represents the measure of a single exterior angle.
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TEA [102]
Perimeter is 12*6 =72



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