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3241004551 [841]

3 years ago

15

The area of a rectangular wall of a barn is 40 square feet. Its length is 6 feet longer than the width. Find the length and widt

h of the wal of the barn.

1 answer:

Serjik [45]3 years ago

7 0

Length is 10 and width is 4

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A robotic machine fills containers with an acid solution at the rate of 50 + 5 t milliliters (mL) per second, where t is in seco

Alika [10]

Answer:

12,000

Step-by-step explanation:

The machine fills the containers at a rate of 50+5t milliliters (mL) per second.

Therefore, the rate of change of the number of containers, N is:

$\dfrac{dN}{dt}=50+5t, 0\leq t\leq 60$

$dN=(50+5t)dt\\$Taking integrals of both sides\\\int dN=\int (50+5t)dt\\N(t)=50t+\frac{5t^2}{2}+C $(C a constant of integration)\\\\When t=0, , No containers are filled, therefore:$ N(t)=0\\0=50(0)+\frac{5(0)^2}{2}+C\\C=0\\$Therefore, N(t)=50t+2.5t^2$

When t=60 seconds

$N(60)=50(60)+2.5(60)^2\\N(60)=12000$ mL$

Therefore, 12,000 milliliters of acid solution are put into a container in 60 seconds.

7 0

3 years ago

Can anyone help for brainst and a thanks?

bekas [8.4K]

Answer:

$150.

Step-by-step explanation:

You would add to get the answer.

57 + 90 = 150.

Feel free to let me know if you need more help. :)

8 0

3 years ago

What is the slope and y-intercept of the graph? (write your answer in simplest form)

Ivahew [28]

Answer:

Slope: 1/2.5

Y-intercept: -1

Step-by-step explanation:

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3 years ago

When a plane intersects a sphere, what two-dimensional shape describes the cross-section?

trasher [3.6K]

Answer:

A Circle

Step-by-step explanation:

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2 years ago

The product of 80 and 5,000 is...

ankoles [38]

Answer: 400,000

Step-by-step explanation:

The product is the result of multiplication. In other words, you would multiply 80×5,000.

I hope this helps!! :)

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2 years ago