The rule for multiplying similar bases with exponents:
(a^b)(a^c)=a^(b+c)
In this case we have:
(5^-2)(5^-1)
5^(-2-1)
5^(-3)
The rule for negative exponents:
a^(-b)=1/(a^b)
So in this case:
5^(-3) is equal to
1/(5^3)
1/125
Answer:
b = -8
Step-by-step explanation:
crossmultiply
Answer: 81.2
Step-by-step explanation:
h(t) = -5t² + 40t + 1.2
h(4) = -5(4)² + 40(4) + 1.2 We plug 4 seconds as t, and solve h(4)
h(4) = -80 + 160 + 1.2
h(4) = 80 + 1.2
h(4) = 81.2
Answer:
The larger number is 20.
Step-by-step explanation:
Let x and y be the two numbers.
y = 2x + 4
x + y = 28
So x + 2x + 4 = 28
3x = 24
x = 8
y = 20
Answer:
8 dolls
Step-by-step explanation:
METHOD 1:
Step 1: Convert 25% into decimal (0.25)
Step 2: Multiply by 32 (32 × 0.25 = 8)
METHOD 2:
25% of a number will be one-fourth of that number. Divide 32 by 4 to get 8 (or multiply 32 by 1/4).
