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ehidna [41]
3 years ago
6

The temperature is 50 degrees Fahrenheit. The temperature will decrease by 4 degrees F. each hour. Let h be the number of hours.

Mathematics
2 answers:
goblinko [34]3 years ago
8 0

The correct answer choice is B

SVEN [57.7K]3 years ago
7 0

Answer:

Option B is correct

50-4h < 32

Step-by-step explanation:

Here, h be the number of hours.

As per the statement:

The temperature is 50 degrees Fahrenheit.

⇒Initial temperature = 50 degrees Fahrenheit

It is also given that:

The temperature will decrease by 4 degrees F each hour.

1 hour temperature will be = -4 degree F

then;

In h hour temperature =  -4h degrees F

We have to find the the temperature be below 32 degrees F.

Total Temperature be below 32 degrees F means:

50-4h < 32 where, h represents the number of hours.

Therefore, the  the temperature below 32 degrees F will be 50-4h < 32

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3 years ago
Mr. Champion invests 34,000 into a money-market fund that pays 4.8% simple interest. How long will it take for him to earn $8,16
Tanzania [10]

Answer:

5 years

Step-by-step explanation:

Step one:

Given Information

Principal= $34,000

rate = 4.8%

SImple interest = $8,160

Required

The time T of the investment

Step two:

the expression for simple interest is

SI= PRT/100

substitute

8160 = 34000*4.8*T/100

cross multiply we have

8160*100= 34000*4.8*T\\\\816000= 163200T\\\\

divide both sides by 163200

816000/163200= T\\\\T= 5 years

4 0
3 years ago
The movie theater charges $4 for children, $6 for adults, and $5 for seniors. A group of 14 people decide to go to the movies. T
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Answer:

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Childrens=2

Seniors=2

Step-by-step explanation:

Children $4

Adults $6

Seniors $5

There are an equal number of seniors and children.

The entire group spent a total of $66.

If 11 adults attended, the total amount will be $66 and the number of senior and childrens will be the same, 0. But this is not possible because the statement says that childrens and seniors are part of the group.

If we add the charges of childrens and seniors is equal to $9.

Assuming that the group has 2 childrens and 2 seniors the add is equal to:

(2*5)+(2*4)= 18

Now we substract the result from the total amount:

66-18=48

48 is multiple of 6, this means we have in the group 8 adults, 2 childrens and 2 seniors.  

         

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and so

F_Z(z)=1-(1-F_{U_i}(z))^n=\begin{cases}0&\text{for }z

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