Answer:
22.8, 28, 3, 12.2, 31.5, 6
Step-by-step explanation:
15.
17-(4.4/2)+8
17-(2.2)+8
25-2.2
22.8
16.
(7^2-7)/3*2
(49-7)/3*2
42/3*2
14*2
28
17.
14/2-16/4
7-4
3
18.
3.2+3*6/2
3.2+18/2
3.2+9
12.2
19.
7*.3*(8.1+6.9)
2.1*(15)
31.5
20.
11-(7.6+7.4)/5
11-(15)/3
11-5
6
Hope it helped!
Step-by-step explanation:
start from f(g(x))
f(g(x))= 3(g(x)) -2
f(g(x))= 6x -2
h(f(g(x)))=(f(g(x)))² -5(f(g(x)))
h(f(g(x)))=(6x-2)² -5(6x-2)
h(f(g(x)))=36x²-24x+4-(30x-10)
h(f(g(x)))=36x²-24x+4-30x+10
h(f(g(x)))=36x²-54x+14
Answer:
The total weight of his purchase is 1.08 pounds
Step-by-step explanation:
To find the total weight of his purchase, we sum the weight of each of his purchases.
He purchased:
4/9 pound of peanut.
7/11 pounds of raisins
Total:
The least common multiple between 9 and 11 is 99.
Then
The total weight of his purchase is 1.08 pounds
Answer:
424 ft and 3 inches
Step-by-step explanation:
To calculate the diagonal of a square, multiply the length of the side by the square root of 2 --> d = a√2
a² + a² = diagonal²
diagonal = √(a² + a²) = √(2 x a²) which simplifies to diagonal = a√2
If area is given --> d = √(2*area)
Knowing square perimeter --> d = (perimeter/4)*√2
Answer:
Raising something to a negative exponent is just taking the reciprocal of the amount.
Step-by-step explanation:
Let's assume that you wanted to know what 
is.
To find it, you would take the reciprocal of the x amount. So becomes 
.
This works because of the nature of exponents. Exponents represent the number of times you are multiplying a value by itself. So 
would be equal to a · a · a. To increase the exponent, you increase the number of times the value is multiplied by itself: To increase to 
, you would have to multiply a with two more times (a · a · a · a · a). To decrease the exponent, you must divide the value by itself. So to decrease to 
, you would have to divide by a 3 times.
If the exponent is 0, the value is equal to 1. But you can still decrease the exponent into negative numbers. You just divide 1 by a the desired amount of times: 
means that you are dividing 1 by a 3 times.
Hope this helps.
