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Strike441 [17]
3 years ago
5

An inlet pipe on a swimming pool can be used to fill the pool in 15 hours. The drain pipe can be used to empty the pool in 20 ho

urs. If the pool is \frac{1}{3} filled and then the inlet pipe and drain pipe are opened, how many more hours would it take to fill the pool? Round your answer to two decimal places, if needed.
_____________ hours
Mathematics
2 answers:
Katen [24]3 years ago
5 0

Answer:

  • 40 hours

Step-by-step explanation:

  • Rate of filling is 1/15
  • Rate of draining is 1/20

<u>If both lines are open the rate of filling is:</u>

  • 1/15 - 1/20 = 4/60 - 3/60 = 1/60 per hour

Since tank is 1/3 full we need to fill the remaining 2/3 of it.

<u>Time required:</u>

  • 2/3 : 1/60 =
  • 2/3*60 =
  • 40 hours
Delicious77 [7]3 years ago
3 0

Answer:

30 hours i think

Step-by-step explanation:

#CarryOnLearning

hopeithepls

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The range of the function y = 2cos x is -2 ≤ y ≤ 2.
Vadim26 [7]

<u>Answer:</u>

The range of the function y = 2cos x is -2 <y < 2 .

<u>Step-by-step explanation:</u>

We know that cos (0) = 1 and cos (π) = - 1 are the two extreme values which cos x assume when x ∈ R and it is also that cos (x) is a continuous periodic function with period 2π when x ∈ R ,

since ,

cos (x + 2π) = cos x

So, the range of the  function y = 2cos x is -2 <y < 2 .

7 0
3 years ago
Find the area of shaded region.
Rudiy27

Hey there mate ;),

Area of The shades region is <u>3098 m^2</u>

The solution is attached as picture. Please check.

<em>Answered</em><em> </em><em>by</em><em> </em><em>Benjemin</em>

6 0
2 years ago
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mario62 [17]
Answer: choice A) 7017

==========================================================

Work Shown:

The first term is a_1 = 24 and we go up by 7 each time.
The common difference is d = 7

The nth term formula we'll use is
a_n = a_1 + (n-1)*d
a_n = 24 + (n-1)*7

----------

The 1000th term corresponds to n = 1000

Replace every n with 1000
Then use the order of operations (PEMDAS) to simplify

a_n = 24 + (n-1)*7
a_1000 = 24 + (1000-1)*7
a_1000 = 24 + (999)*7
a_1000 = 24 + 6993
a_1000 = 7017
3 0
3 years ago
The population of a bacteria colony is growing exponentially, doubling every 6 hours. If there are 150 bacteria currently presen
marusya05 [52]

Answer:

If rounded to the nearest 10 bacteria, then it would be 500 bacteria.

Step-by-step explanation:

First multiply 150 by two in order to get 300, that leaves 4 hours to figure out. From there you can figure out the rest by seeing that 4 is 2/3 of 6. I converted it into the decimal number .66. Multiply 300 by .66 to get 198 and then add it to 300 to get 498. Then just round it up to the nearest 10 bacteria which leaves you with the final answer of 500 bacteria.

8 0
3 years ago
I need the surface area again plz
kolezko [41]

Answer:

31

Step-by-step explanation:

A=2(wl+hl+hw)

l -Length  

w-Width  

h-Height

A=2(wl+hl+hw)=2·(1·2+4.5·2+4.5·1)=31

8 0
2 years ago
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