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2 years ago

Please help, thank you :)

Mathematics

1 answer:

wolverine [178]2 years ago

7 0

Answer:

y^6

Step-by-step explanation:

$\frac{y}{1} \times \frac{{y}^{5} }{1}$

${y}^{6}$

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6. A tank contains 100-gallon of pure water. At time t = 0, a solution containing 2 lb of salt per gallon flows into the tank at

SOVA2 [1]

Answer:

The answer is below

Step-by-step explanation:

Let Q represent the amount of salt in the tank at time t.

$\frac{dQ}{dt}= flow\ in - flow\ out\\ \\flow\ in=3\ gal/min*2\ lb/gal=6\ lb/min\\\\net\ gain\ in\ tank\ volume=3-4=-1, henceflow\ out= \frac{4Q}{100-t} \\\\\frac{dQ}{dt}= 6-\frac{4Q}{100-t} \\\\\frac{dQ}{dt}+ \frac{4Q}{100-t}=6\\\\The \ integrating\ factor\ is:\\\\IF=e^{\int\limits {\frac{4}{100-t} } \, dt }=e^{-4\int\limits {\frac{-1}{100-t}}=e^{-4ln(100-t)}=(100-t)^{-4}}\\\\Multiplying\ through \ by\ IF: \\\\(100-t)^{-4}\frac{dQ}{dt}+ (100-t)^{-4}\frac{4Q}{100-t}=6(100-t)^{-4}\\\\$

$Integrating:\\\\A(100-t)^{-4}=-2(100-t)^{-3}+c\\\\A=-2(100-t)+\frac{c}{(100-t)^{-4}} \\\\at, t=0,A=0\\\\0=-2(100-0)+\frac{c}{(100-0)^{-4}}\\\\c=0.02\\\\A=-2(100-t)+\frac{0.02}{(100-t)^{-4}}$

7 0

3 years ago

Jacob sells stools with round seats. if

Bas_tet [7]

The surface area of the stool is 3629.84 square cm

<h3>How to determine the surface area?</h3>

The radius is given as:

r = 34.2

The surface area is calculated using:

A = πr^2

So, we have:

A = 3.14 * 34^2

Evaluate

A = 3629.84

Hence, the surface area of the stool is 3629.84 square cm

Read more about surface area at:

brainly.com/question/6613758

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5 0

1 year ago

What is the image of (-8, 2) after a reflection over the y-axis?

BARSIC [14]

Answer:

(8, 2)

Step-by-step explanation:

When taking a point and reflecting it over the y-axis, the x coordinate turns into its opposite.

(-8, 2) ⇒ (8, 2)

4 0

2 years ago

What is 7 times 9 in multiplti

NemiM [27]

The answer is 63. 9 times 7 is 63

7 0

3 years ago

Read 2 more answers

Select all the expressions that are equivalent to 4(y+7) 4y+7 4y+28 3+1(y+7) 4y+4(7) 4+y+7 3(y+7)+(y+7) PLEASE GUYS I REALLY NEE

sasho [114]

Answer:

Step-by-step explanation:

4(y+7)=4(y)+4(7)

=4y+28

7 0

3 years ago