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3 years ago

The product of eight minus a number and seven equals forty when decreased by five. Which equation represents the sentence?

1 answer:

8 0

The "product" of two numbers means you multiply them.

So, you are multiplying (8-n), where n = "a number," by 7.

Then, when you decrease (subtract) this product by 5, you get 40.

So the whole thing looks like

7(8-n) - 5 = 40.

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Water is pumped into a tank at a rate of r (t)=30(1−e− 0.16t) gallons per minute, where t is the number of minutes since the pum

Vlad1618 [11]

Answer:

The total volume of the water in the tank after 20 minutes = 1220 gallons

Step-by-step explanation:

Rate of water pumped into the tank r (t) = 30 (1 - $e^{-0.16 t}$ )

Initial volume of water in the tank = 800 gallons

The water in the tank after 20 minutes = Initial volume of water in the tank + Volume of water being pumped in the tank

$V_{total} = V_{i} + V_{pump}$

$V_{pump}$ = $\int\limits^a_b {r(t)} \, dt$

Where a = 0 , b = 20

Put the value of r (t) in above equation we get

$V_{pump}$ = $\int\limits^a_b {30 (1 - e^{-0.16t} )} \, dt$

$V_{pump}$ = $30 [ t + \frac{e^{-0.16t} }{0.16} ]$

$V_{pump}$ = $30[ (20- 0) + \frac{1}{0.16}(e^{-0.16 (20)}- e^{0} )$

$V_{pump}$ = 420 gallon

Now, total volume in the tank

$V_{total} = V_{i} + V_{pump}$

$V_{total} = 800 + 420$

$V_{total} = 1220 \ gallon$

Therefore the total volume of the water in the tank after 20 minutes = 1220 gallons

3 0

3 years ago

What is the equation in slope-intercept form of the line that passes through the point (5,0) and is parallel to the line represe

zlopas [31]

Answer:

y=1.2x-6

Step-by-step explanation:

place in the points

0=1.2(5)+b

distrubutive property

0=6+b

subtract 6 on both sides

-6=b

y=1.2x-6

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2 years ago

Debbie is running to raise money for a fundraiser. If her goal is to run 56 miles , how many days will debbie need to run if she

Nina [5.8K]

Answer:

32 days.

Step-by-step explanation:

56 / 1.75 = 56 / (7/4) = 56 * 4 / 7 = 32.

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3 years ago

Haruka hiked several kilometers in the morning. She hiked only 666 kilometers in the afternoon, which was 25\%25%25, percent les

katen-ka-za [31]

Answer:

She hiked 1,554 kilometers in all.

Step-by-step explanation:

Let the hiking kilometers for morning be x

Given that:

Hiking kilometers in afternoon = 666

According to given condition that afternoon kilometers are 25% less than morning:

x = 666 + 25% of x

By simplifying:

x = 666 + 0.25x

x - 0.25x = 666

0.75x = 666

Dividing both sides by 0.75 we get:

x = 666/0.75

x = 888 kilometers

She hiked 888 kilometers in morning

And

Total = 888 + 666 =1554 km

i hope it will help you!

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3 years ago

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A plant will become invasive when the number of plants reaches 10,000. Model the situation with an exponential growth function.

sweet-ann [11.9K]

20,000 years hope this helped

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3 years ago