An object moves on a conveyor belt at a speed of 60 inches per second. Explain how you could conver the speed to feet per minute
1 answer:
We know that 1 foot = 12 inches and 1 minute = 60 seconds, so to convert 60 inches per second to feet per minute, we are going to multiply 
by 
and 
to cancel units and express our answer in feet per minute:
We can conclude that after converting 60 inches per second to <span>feet per minute, we get 300 feet per minute.</span>
We can conclude that after converting 60 inches per second to <span>feet per minute, we get 300 feet per minute.</span>
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The 24th term is 152
Step-by-step explanation:
The formula of the nth term of an arithmetic sequence is:
, where
- a is the first term
- d is the common difference between consecutive terms
The third term means n = 3
∵
∴
∵ = 5
- Equate the right hand sides of the third term
∴ a + 2d = 5 ⇒ (1)
The fifth term means n = 5
∵
∴
∵ = 19
- Equate the right hand sides of the fifth term
∴ a + 4d = 19 ⇒ (2)
Now we have a system of equations to solve it
Subtract equation (1) from equation (2) to eliminate a
∴ 2d = 14
- Divide both sides by 2
∴ d = 7
- Substitute the value of d in equation (1) to find a
∵ a + 2(7) = 5
∴ a + 14 = 5
- Subtract 14 from both sides
∴ a = -9
The twenty fourth term means n = 24
∵ a = -9 and d = 7
- Substitute the values of a and d in the formula of the nth term
∴
∴
∴
∴
The 24th term is 152
Learn more:
You can learn more about the arithmetic sequence in brainly.com/question/7221312
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