Cara evaluated the expression below. (4(7-13))÷3+(-4)²-2(6-2) =(28-13)÷3+(-4)²-2(4) =15÷3+16-8 =5+16-8 =13 What was Cara’s error? Cara multiplied only 4 and 7 together and did not multiply 4 and 13. Cara evaluated (Negative 4) squared incorrectly. Cara subtracted 2 from 6 incorrectly. Cara multiplied 2 and 4 incorrectly.

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step-by-step explanation:

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

0.0076, if you meant 4.125 divided by 0.03125 it would be 132

step-by-step explanation:

first you have to move the decimal in 0.03125 over until its behind the 5 which is 5 places over. now the number is 3125

then you have to move the decimal in 4.125, 5 places over. now the number is 4,112,500.

now you divide like you would normally would and get 0.0076

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: