Answer: 3234 cubic units
Step-by-step explanation:
Volume of cylinder: πr²h
The diameter of the cylinder is 14 units so the radius is 7 units.
Now we'll substitute.
π = 22/7
h = 21
πr²h
π × 7² × 21
22/7 × 49 × 21 = 3,234
The volume is 3,234 cubic units.
Answer:
D = 20H
Step-by-step explanation:
The amount Troy (D, in dollars) charges to mow a lawn is proportional to the time (H, in hours) it takes him to mow the lawn.
Hence, we can write D = kH ......... (1), where k is a constant.
Now, given that Troy charges $30 to mow a lawn that took him 1.5 hours to mow.
So, from equation (1) we get
30 = 1.5k
⇒ k = 20.
Therefore, equation (1) becomes D = 20H (Answer)
The line equation for its slope and one point is:
y - y1 = m(x - x1)
m is the slope, x1, y1 are the point coordinates, so lets substitute:
y - 4 = (1/2)(x - 2)
y = <span>(1/2)x + 3</span>
Simplify
4b−7−15b+3
=4b+−7+−15b+3
Combine Like Terms:
=4b+−7+−15b+3
=(4b+−15b)+(−7+3)
=−11b−4