Answer:-16.25
Step-by-step explanation: do 17 minus 0.75 then add a minus
Answer: Keith has three dollars
Step-by-step explanation:
One dozen quarters is 12 quarters
4 quarters equal a dollar; Keith has three sets of four quarters
so 3 x 4 = 12
Answer:
(2x - 3)(2x + 3)
Step-by-step explanation:
Given
4x² - 9
This is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
4x² = (2x)² ⇒ a = 2x
9 = 3² ⇒ b = 3, thus
4x² - 9 = (2x - 3)(2x + 3) ← in factored form
The surface area of the sphere is:
A = 4 * pi * r ^ 2
Deriving we have:
A '= 8 * pi * r * r'
We clear the speed:
r '= A' / (8 * pi * r)
Substituting values:
r '= 24 / (8 * pi * 3)
r '= 1 / pi inch / sec
Then, the volume of the sphere is:
V = (4/3) * (pi) * (r ^ 3)
Deriving we have:
V '= (3) * (4/3) * (pi) * (r ^ 2) * (r')
Substituting values:
V '= (3) * (4/3) * (pi) * (3 ^ 2) * (1 / pi)
Rewriting:
V '= (4) * (9)
V '= 36 inch3 / sec
Answer:
the volume of the ice is changing at 36 inch3 / sec at that moment
Add two like terms: 16x+(-9x)=7x
Add 15 to both sides: 7x=28
Divide 7 on both sides: x=4
