Answer:
-8y^2+9y-45
Step-by-step explanation:
symbolab.com
Answer:
y = -5x + 7
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Define
5x + y = -2
Random point (2, -3)
Step 2: Rewrite
y = -5x - 2
m = -5
Step 3: Write parallel line
y = -5x + b
-3 = -5(2) + b
-3 = -10 + b
7 = b
y = -5x + 7
The prime factorization of 10 is 2*5. No exponents required.
So Volume of cylinder is pi*r^2*h = 1,000
Then lightest one means you have the smallest surface area. Which is one base and then the area of the surface. SA = pi*r^2 + 2pi*r*h
So now you have 2 equations, so:
h = 1,000/(pi*r^2)
So then SA = pi*r^2 + 2pi*r*(1,000/(pi*r^2) = pi*r^2 + 2,000/r
Derivative of SA is then 2pi*r -2,000/r^2. Set to 0
2pi*r-2,000/r^2 =0 --> 2pi*r^3 = 2,000 --> r^3 = 1,000/pi --> r = 10/pi^(1/3)
Now go back to the volume function: pi*r^2*h =1,000 --> 1,000/(pi*100/pi^(2/3)) = h
<span>h = 10 / pi^(1/3)</span>
Answer:
31.
Step-by-step explanation:
The mode is the value which occurs the most.
Stem = 3 and leaf = 1, 1,6 so that is 2 31's.
