What makes the statement true 9^-2 =a)81
b)18
c)1/81
d)-1/81

evaluate the expression 8^-2 x 4^0
16
64
-64
1/64

write 5^ x 5^-1 x 5^3 as a single exponent.
5^4
5^-6
5^5
5^2

what is 8.57 x 10^-4 in standard form
85,700
0.00857
8,750,000
0.000875

Answers

Answer 1

Answer: What makes the statement true 9^-2 =

c)1/81

evaluate the expression 8^-2 x 4^0

1/64

write 5^0 x 5^-1 x 5^3 as a single exponent.

5^2

what is 8.57 x 10^-4 in standard form

0.00857

Hope this answers the question. Have a nice day.

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l×w×h that is how to solve the problem

length times width times height aka, L x W x H

A^3+a+a^2+1 2a^2+2ab+ab^2+b^3------------------------------- * ----------------------------------
a^3+a^2+ab^2+b^2 a^3+a+a^2b+b

Answers

$(a^3+a+a^2+1)/(a^3+a^2+ab^2+b^2) \cdot (2a^2+2ab+ab^2+b^3)/(a^3+a+a^2b+b) =(a(a^2+1)+1(a^2+1))/(a^2(a+1)+b^2(a+1)) \cdot (2a(a+b)+b^2(a+b))/(a(a^2+1)+b(a^2+1)) =\n\n=((a^2+1)(a+1))/((a+1)(a^2+b^2)) \cdot ((a+b)(2a+b^2))/((a^2+1)(a+b)) = (2a+b^2)/(a^2+b^2)$

HELP QUICK Jamie created a list of factors of 32. 32: 1, 2, 4, 6, 8, 16, 32 which number should be removed from the list to make the list accurate? 1 6 16 32

Answers

Answer:

Step-by-step explanation:

1: divide 32 by each factor

2:ensure that the answer is a whole number

3: 6, when calculated gives you 5.3(and the threes will go on)

4:You get your answer

Answer:

Step-by-step explanation:

The factors listed shows that 1 x 32 = 32, 2x 16= 32, 4 x 8= 32

BUT! When we get to 6 it does not have a number to multiply to that is a whole number. For example, 32/6= 5.333 which is not a whole number. Factors have to be whole numbers and no decimals! So, 6 should be removed from the list to make it accurate!

A population of insects doubles every month. This particular population started out with 20 insects. Write an equation to model this scenario.

Answers

2x+20, x being a month.

Final answer:

The scenario describes the exponential growth of an insect population that doubles every month, starting from 20 insects. The appropriate mathematical model for this scenario is the equation P = 20 * 2^n, where P is the final population, and n is the number of months.

Explanation:

The given scenario describes the exponential growth of a population of insects where the population doubles every month. To represent this mathematically, we can use the formula for exponential growth which is: P = P0 * 2^n. In this formula, P is the final population, P0 is the initial population (which is 20 insects in this case), 2 represents that the population doubles, and n is the number of time periods (months in this case).

So, the equation to model this scenario will be P = 20 * 2^n.

Learn more about Exponential Growth,

brainly.com/question/34350466?referrer=searchResults

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Write the number 144 as a row of prime numbers multiplied together

Answers

$144= 2*2*3*2*2*3=2^(4)*3^2$

Consider f(x)=2|x|What is the rate of change over the interval 0≤x≤4?

How is the rate of change over this interval related to the form of the function?

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

As we know that the average rate of change of f(x) in the closed

interval [a, b] is

$(f\left(b\right)-f\left(a\right))/(b-a)$

Given the interval [a, b] = [0, 4]

$f(x)=2|x|$

$f(b)=f(2)=2\cdot \:4$ ∵ $\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0$

$= 8$

$f(x)=2|x|$

$f(a)=f(0)=2\cdot \:0$ ∵ $\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0$

$= 0$

so the average rate of change :

$(f\left(b\right)-f\left(a\right))/(b-a)=(8-0)/(4-0)$

$=(8)/(4)$

$= 2$

We know that a rate of change basically indicates how an output quantity changes relative to the change in the input quantity. Here, it is clear the value of y increase with the increase of input.

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