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1 year ago

135 cu.ft. = ? cu.yd.

Mathematics

2 answers:

Lapatulllka [165]1 year ago

7 0

To convert cubic feet to cubic yards divide by 27

cubic yards = 135 / 27 = 5

Answer: 5 cubic yards

gavmur [86]1 year ago

5 0

Step-by-step explanation:

135 cu.ft. = <u>5</u>cu.yd.

....

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2 years ago

Carmen cut a 12 meter piece of cloth into three pieces. The first two pieces were each

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2 years ago

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Answer:

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2 years ago

A large tank is filled to capacity with 300 gallons of pure water. brine containing 5 pounds of salt per gallon is pumped into t

Licemer1 [7]

If $A(t)$ is the amount of salt in the tank at time $t$ , then the rate at which this amount changes over time is given by the ODE

$A'(t)=\dfrac{3\text{ gal}}{1\text{ min}}\cdot\dfrac{5\text{ lb}}{1\text{ gal}}-\dfrac{3\text{ gal}}{1\text{ min}}\cdot\dfrac{A(t)\text{ lb}}{300+(3-3)t\text{ gal}}$

$A'(t)+\dfrac1{100}A(t)=15$

We're told that the tank initially starts with no salt in the water, so $A(0)=0$ .

Multiply both sides by an integrating factor, $e^{t/100}$ :

$e^{t/100}A'(t)+\dfrac1{100}e^{t/100}A(t)=15e^{t/100}$
$\left(e^{t/100}A(t)\right)'=15e^{t/100}$
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Since $A(0)=0$ , we have

$0=1500+C\implies C=-1500$

so that the amount of salt in the tank over time is given by

$A(t)=1500(1-e^{-t/100})$

After 10 minutes, the amount of salt in the tank is

$A(10)=1500(1-e^{-1/10})\approx142.74\text{ lb}$

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3 years ago

I do not think A. could represent the function because the equation is backwards. Am I incorrect?

larisa86 [58]

Answer:

Yes you are correct.

Step-by-step explanation:

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2 years ago