MATHEMATICS MIDDLE SCHOOL

Please help quickly!!! Which equation shows the correct use of the Power of Products Property?
A. (2x^5y^2)^3=6x^5y^2
B. (2x^5y^2)^3=6x^15y^6
C. (2x^5y^2)^3=8x^8y^5
D. (2x^5y^2)^3=8x^15y^6

Answers

Answer 1

Answer:

Answer:

Option D is correct.

$(2x^5y^2)^3= 8x^(15)y^6$

Step-by-step explanation:

Power of product property:

$(x^m)^n = x^(mn)$

$(ax)^m = a^m \cdot x^m$

Let the equation: $(2x^5y^2)^3$

Using power of products Property on given equation:

$(2x^5y^2)^3$ = $2^3 \cdot (x^5)^3 \cdot (y^2)^3 = 8 \cdot x^(15) \cdot y^6 = 8x^(15)y^6$

Therefore, the only option D of an equation which shows the correct use of power of Products property is, $(2x^5y^2)^3= 8x^(15)y^6$

Answer 2

Answer: $(2x^5y^2)^3=2^3 * (x^5)^3 * (y^2)^3=8 * x^(5 * 3) * y^(2 * 3)=8x^(15)y^6$

The answer is D.

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make a list of 25 different integer calculations that equal 36 including addition, subtraction, multiplication, and division
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the bowling alley offers special weekly rates are 5 games for $15, 6 games for $17.55, 7 games for $20.10 and 8 games for $22.65. If this pattern continues, how much wil it cost to bowl 10 games in a week?

The cone shown has a radius of 5 feet and a slant height of 12 feet. Which choice is closest to the total surface area? Use 3.14 to approximate pi.60 square feet

79 square feet

188 square feet

267 square feet

Answers

So first of all, to solve this, we need to know the formula for finding the surface area of a cone. The formula is :
$SA = \pi r(r+ \sqrt{ h^(2) + r^(2) } )$
Where SA stands for surface area, h stands for height, and r stands for radius.
In the given information, we are not told the height, but we are told the slant height.

In a cone, the slant height, the height, and the radius together form a right triangle. We can use that triangle to solve for the height
So, to find the height, we can do:

5^2+b^2 = 12^2, or 25+b^2 = 144
Therefore, b is equal to about 11

So now, we can plug all of our values into the formula
This gives us:
$SA = \pi * 5 (5+ \sqrt{ 5^(2) + 11^(2) } )$

If we solve, this gives us about 267.

Therefore the answer is 267 feet squared

Hope this helped!! :D

sa=π•r(r+√h²+r²
sa=π•r²+r•√h²+r²
sa=3.14•5²+5•√11²+5²
sa=78.5+5•12.08
sa=267

Jeremiah always bicycles to and from work. The total length of a trip is 14.6 kilometers.Last month,Jeremiah worked 18 days. How many kilometers did he bicycle to and from work last month?

Answers

14.6*18= 262.8
So, Jeremiah bicycled 262.8 kilometers to and from work in 18 days
Hope this Helps :D

Ok so if the total length of the trip was 14.6 you would multiply that by 18 because that's the number of times he worked and so you get 262.8 so that would be your answer if I'm not mistaken

How do you simplefly 2/3

Answers

2/3 is already down to it's lowest fraction if you wanted to make the fraction bigger, then multiply the 2 times 3 and the 3 times 2 !

Which of the following points is in the solution set of y < x^2-2x-8

Answers

Answer:

y < (x - 4)(x + 2)

so the critical points are -2 and 4

(-2,-1) will be in the solution

( 0,-2) will not

(4,0) will not.

the answer is ((-2,-1)

Answer:

y < (x - 4)(x + 2)

so the critical points are -2 and 4

(-2,-1) will be in the solution

( 0,-2) will not

(4,0) will not.

the answer is ((-2,-1)

Step-by-step explanation:

Please explain how to slove thank you.

Answers

The average rate of change of on the interval [a,b] is:

f(b)−f(a)/ b-a
or
y1-y2/x1-x2 which is how I learned it, average ratw of change is just slope

so you would plug your numbers into x

1st the b: 6((1))^2+31((1))-12
=6+31-12 1^2=1, so it cancels
f(b) =25

2nd the a: 6((-2))^2+31((-2))-12
=6(4)+31(-2)-12
=24+-62-12
f(a) =-50

3rd plug them in: (25- -50)÷(1-(-2)
=75÷3
=25

so your average rate of change(or slope) is 25 :)

How do u estimate 243×6