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musickatia [10]
1 year ago
10

A given gas powered water pump delivers 42.50 gallons of water per minute. This value can also be expressed as _____________ L/s

(Liters per second).
Mathematics
1 answer:
OlgaM077 [116]1 year ago
5 0

The rate at which the gas powered pump deliver water is 160.9 litres per seconds

<h3>How to convert rate?</h3>

The gas powered water pump delivers 42.50 gallons of water per minute.

Therefore,

1 gallon = 3.78541 litres

42.50 gallons = ?

cross multiply

volume = 42.50 × 3.78541 = 160.879925 litres

Hence,

60 seconds = 1 minutes

1 second = ?

time = 1 / 60 = 0.01666666666 seconds

Hence,

rate = 160.9 litres per second

learn more on rate here: brainly.com/question/20561529

#SPJ1

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The population of a certain species of bird in a region after t years can be modeled by the function P(t)= 1620/1+1.15e^-0.042t
natka813 [3]

Answer:

A

Step-by-step explanation:

The function is  \frac{1620}{1+1.15e^{-0.042t}}

To find the maximum population, we need to set t towards infinity to get our answer.

So, we replace time with maximum (\infty). Let's check:

\frac{1620}{1+1.15e^{-0.042t}}\\=\frac{1620}{1+\frac{1.15}{e^{0.042t}}}\\=\frac{1620}{1+\frac{1.15}{e^{0.042(\infty)}}}\\=\frac{1620}{1+\frac{1.15}{\infty}}\\=\frac{1620}{1+0}\\=\frac{1620}{1}\\=1620

The population of birds approaches 1620 as t goes towards infinity. So we can say the max population of the species is 1620.

Correct answer is A

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3 years ago
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What is the equation of the line that has a slope of 0 and passes through the point (6,-8)
Fofino [41]

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2 years ago
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What is the value of i 97 – i?<br> –i<br> 0<br> –2i<br> i Superscript 96
Valentin [98]

<em>The question is not clearly readable, but I'm assuming the expression which makes more sense, so you can have a clue</em>

Answer:

i^{97}-i=0

Step-by-step explanation:

<u>Powers of The Imaginary Unit</u>

The imaginary unit i is defined as

i=\sqrt{-1}

The first powers of i are

i^0=1

i^1=i

i^2=(\sqrt{-1})^2=-1

i^3=i.i^2=-i

i^4=i^2.i^2=1

And so on the cycle repeats every four numbers. To find the value of i^{96} we can find the remainder of 96/4=0. So i^{96}=i^0=1

The given expression is

i^{97}-i

Factoring

i(i^{96}-1)

Since i^{96}=1

=i(1-1)=0

The required value is 0

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3 years ago
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A conditional statement is logically equivalent to a biconditional statement. True False pls help i have a test and i was absent
andreyandreev [35.5K]

Answer:

false.

Step-by-step explanation:

A conditional statement is something like:

If P, then Q.

This means that if a given proposition P is true, then another proposition Q is also true.

An example of this is:

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Q = there are clouds in the sky.

So the conditional statement is

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A biconditional statement is:

P if and only if Q.

This means that P is only true if Q is true, and Q is only true if P is true.

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(this statement implies that if there are clouds in the sky, there should be rain)

Then we could see that for the same propositions, the conditional statement is true and the biconditional statement is false.

Then these statements are not logically equivalent.

The statement is false.

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Eric earns $15 per hour at his job. Write an equation that shows the
noname [10]

Answer:

15y=x

Step-by-step explanation:

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