Answer:
X = 8, y = 8
Step-by-step explanation:
This question is an optimization problem. Two equations are going to be needed here
n = x+y
P = xy
Such that 64 = xy
When we divide through by x we get:
y = 64/x
So that n becomes:
n = x + 64/x
n = x+64x^-1
We take derivative
n' = 1-64x^-2
When n' = 0 then a min|max occurs
0 = 1-64x^-2
Such that:
64/x² = 1
Divide through by x²
64 = x²
x = √64
x = 8
Remember y = 64/x
So,
Y = 64/8
Y = 8.
X = 8, y = 8
Thank you!
Answer:
3.5 * 10^-4 centimeters
Step-by-step explanation:
Here, we have one uranium atom having a diameter of 3.5 * 10^-8 centimeters.
We now want to find the sum of 10,000 uranium atoms diameters
Mathematically;
That would be ;
3.5 * 10^-8 * 10,000
But 10,000 = 10^4
Thus, we have
3.5 * 10^-8 * 10^4
= 3.5 * 10^-4 centimeters
Jim will probably need 6 cups of strawberries to yeild 10 jars
F(x) = (x + 3)²
g(x) = f(x) - 7.
g(x) = (x + 3)² - 7
g(x) = (x + 3)(x + 3) - 7
g(x) = x*x + x*3 +3*x + 3*3 - 7
g(x) = x² + 3x + 3x + 9 - 7
g(x) = x² + 6x + 2
