Answer:
The choose C. 18
Step-by-step explanation:
UC —> 105+82=187 —> 96+22+51=169 —> 187–169=18
I hope I helped you^_^
Answer:
x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.
Step-by-step explanation:
V= x^2y = 500
Surface area A = x^2 + 4xy.
From the first equation y = 500/x^2
So substituting for y in the equation for the surface area:
A = x^2 + 4x * 500/x^2
A = x^2 + 2000/x
Finding the derivative:
dA/dx = 2x - 2000x^-2
dA/dx = 2x - 2000/x^2
This = 0 for a minimum/maximum value of A, so
2x - 2000/x^2 = 0
2x^3 - 2000 = 0
x^3 = 2000/ 2 = 1000
x = 10
Second derivative is 2 + 4000/x^3
when x = 10 this is positive so x = 10 gives a minimum value of A.
So y = 500/x^2
= 500/100
= 5.
Answer:
Carla ran 0.1 miles per minute.
Step-by-step explanation:
To solve this, we need to use the distance formula.
The formula is d=rt, where d is the distance traveled, r is the rate in which the distance is traveled, and t is the amount of time it took to go that distance. So lets plug it all in.
d=rt
3=(r)(30)
Now, we need to do the inverse of multiplying 30 to both sides, which would be the same as dividing by 30 on both sides.
3/30=(r)(30/30)
0.1=r
The rate is 0.1. Carla ran 0.1 miles per minute.
Answer:
y = -4/3x - 3
Step-by-step explanation:
