Amber says 2.76/6 gets an answer of 0.19.Is Amber's answer reasonable. (Choose One) A:No, because 0.2x3=0.6 B:No, because 0.2x6=1.2 C:Yes, because 0.2x0.6=2.4 D:Yes, because 2x1.4=2.8

No, her answer is unreasonable because 0.2 * 6 = 1.2

Step-by-step explanation:

Here in this question, we are trying to use an approximation to see if what was said to be the result of a calculation is reasonable as an answer.

Looking at her division, 2.76/6 = 0.19

To the nearest tenth , 0.19 is same as 0.2, now multiplying 0.2 by 6, what we have is 1.2 ( of which even 0.19 * 6 is expected to be less than this). we can see that this value is quite far from our expected answer of 2.76 which makes the answer an unreasonable one

Thus, the division 2.76/6 = 0.19 is not a reasonable answer

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.

the answer is  

a.

4,624π mm2

step-by-step explanation: