Answer: V=37.5 cm³
Step-by-step explanation:
Formula
V=(πr²h)/3
Given
r=5/2=2.5 cm
h=6 cm
Solve
V=(πr²h)/3
V=(π(2.5)²(6))/3
V=(π(6.25)(6))/3
V=37.5π/3
V=37.5(3)/3
V=37.5 cm³
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Answer:
Infinite solution
Step-by-step explanation:
There is 3 possible solutions to a system of linear equations:
- One solution - two distinct lines that do not share y-intercept or slop intersect at a point
- No solution - two distinct lines that share the same slope but not the same y-intercept never intersect and are parallel
- Infinite solution - one distinct function represented two ways which in simplest form share the same slope and y-intercept
The first equation is in simplest form y=2x+3.
The second equation 2y=4x+6 when simplified becomes y=2x+3.
These are the same lines with the same slope and y-intercept. Therefore, they have infinite solutions.
Answer: (d)
Step-by-step explanation:
Given
It takes 14 hours with 40 mph to reach the theatre
so, the distance traveled is given by
It is given that d is the distance from theatre to friend's house
So, d must be less than 
i.e.
So, the most appropriate option out of the given is option (d) as d must be less than 560 and it is possible that it maybe less than 160.
Well, the keyword here is One of the performers insist on being the last.
So, the amount of performers that we can arrange freely is 7 performers.
Different ways we can schedule their appearance is :
7 ! = 7 x 6 x 5 x 4 x 3 x 2 x 1
= 5040
hope this helps
