MATHEMATICS HIGH SCHOOL

At the metal-casting company where you work, you must set up a conveyor system to move castings from the furnace to the heat treatment area 55 yards away. The castings cool at the rate of 0.3°F (degrees Fahrenheit) per second and must not be allowed to cool more than 7°F before being heat treated. What is the minimum speed, in feet per second, that the conveyor must move?

Answers

Answer 1

Answer:

Answer:

the minimum speed, in feet per second, that the conveyor must move is 7.07143 ft/sec

Step-by-step explanation:

Let's assume time it takes to cool is 't' seconds

so, we are given

The castings cool at the rate of 0.3°F (degrees Fahrenheit) per second

so, total change in temperature will be

$=0.3* t$

$=0.3t$

must not be allowed to cool more than 7°F before being heat treated

so, that temperature must be equal to 7

$0.3t=7$

now, we can solve for t

$t=(7)/(0.3)$

$t=(70)/(3)$ sec

now, we are given length of casting is 55 yards

so, firstly we will change it into ft

1 yard =3 ft

so,

$55 yard=3* 55 ft$

$55 yard=165 ft$

so, we have

total length =55 ft

now, we can use speed formula

$speed=(length)/(time)$

we can plug values

$speed=(165)/((70)/(3) )$

so, speed is 7.07143 ft/sec

Answer 2

Answer:

Answer:

7.07 is the answer i got as well

Step-by-step explanation:

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Answers

The formula for binomial theorem is

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Answers

Step-by-step explanation:

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Answers

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↓

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______________
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hope this helps!

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Answers

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Answers

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The favorable outcomes for these events are given as tossing a head and rolling a number greater than 4.

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Therefore, the required probability is 1/6.

Learn more about probabilities here:

brainly.com/question/10837034

#SPJ2

tossing a head = 1/2
rolling a number greater then 4 = 2/6 = 1/3

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Answers

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Answer:

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The answer is C on Edge

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