Answer:
y = (1/4)x
Step-by-step explanation:
"Direct variation" here signifies y = kx, where k is the constant of proportionality.
Then y = kx. Here we are to find k using the info that x = 12 and y = 3:
3 = k(12), or
k = 3/12, or k = 1/4
Then y = (1/4)x
Answer:
<em>The size of a sundae and the amount of calories it contains.</em>
Step-by-step explanation:
The answer choice is the only one with a positive correlation, because it is the only one that isn't depleting or going down in size. No matter if you eat the sundae or what size it becomes, the calories it contains will still be the same for the whole amount.
When a car travels, gas is used and it depletes. As a snowball does when it melts. And "the temperature on Tuesday" has no correlation involved at all
Answer:
Radius =6.518 feet
Height = 26.074 feet
Step-by-step explanation:
The Volume of the Solid formed = Volume of the two Hemisphere + Volume of the Cylinder
Volume of a Hemisphere 
Volume of a Cylinder 
Therefore:
The Volume of the Solid formed
Area of the Hemisphere =
Curved Surface Area of the Cylinder =
Total Surface Area=
Cost of the Hemispherical Ends = 2 X Cost of the surface area of the sides.
Therefore total Cost, C
Recall: 
Therefore:
The minimum cost occurs at the point where the derivative equals zero.
![-27840+32\pi r^3=0\\27840=32\pi r^3\\r^3=27840 \div 32\pi=276.9296\\r=\sqrt[3]{276.9296} =6.518](https://tex.z-dn.net/?f=-27840%2B32%5Cpi%20r%5E3%3D0%5C%5C27840%3D32%5Cpi%20r%5E3%5C%5Cr%5E3%3D27840%20%5Cdiv%2032%5Cpi%3D276.9296%5C%5Cr%3D%5Csqrt%5B3%5D%7B276.9296%7D%20%3D6.518)
Recall:
Therefore, the dimensions that will minimize the cost are:
Radius =6.518 feet
Height = 26.074 feet
Answer:
$25 per hour
Step-by-step explanation:
Net pay= $1200
Deductions= $300
Hours worked= 60
Total pay=$1200+ $300= $1500.
Since her net pay is the money left after deductions, so we add the netpay and deductions to get her total pay.
Therefore, to find her hourly pay, we simply divide the total pay by the hours worked,so we have 1500/60= $25/hour
1. 2
2. 1
3. 6
I'll post the rest in the comments
