The equation for volume of a sphere is:
Volume = 4/3 * PI * r^3
r is the radius = 1 inch
Volume is given as 4 cubic inches per second increase.
Given: dv/dt = 4 cubic inches per second.
Need to find dr/dt
Formula for volume of a sphere is: V = 4/3 * π * r^3
so now we have:
4 in^3 = 4 * π *1^2
Divide both sides by 4 * π *1^2
4 in^3 / 4π = 1/π inch per second.
The answer is 1/π inch per second ( exact answer)
or as a decimal: 0.3183 ( round as needed).
4x+24=84 4x=60 x=15 length =27 width = 15
Answer:
The zeros of f(x) are -3, 2 , 6
Step-by-step explanation:
f(x) is a polynomial of degree 3.
If the polynomial is not factorized we will either factorize to find the zero or use trial and error method.
Since the f(x) in the question is in the factorized form. we will have to equate each factor to zero.
f(x) = (x+3)(x-2)(x-6)
x + 3 = 0 => x = -3
x - 2 = 0 => x = 2
x - 6 = 0 => x = 6
3x-13=2
move -13 to the other side
sign changes from -13 to +13
3x-13+13=2+13
3x=2+13
3x=15
divide both sides by 3 to get x by itself
3x/3=15/3
cross out 3 and 3, divide by 3 and then becomes 1*1*x=x
x=15/3
x=5
answer:
x=5
Answer:
8x + 8
Step-by-step explanation:
you have to distribute the 8 to everything inside the parentheses
8 times x
8 times 1
8x + 8
