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lakkis [162]
2 years ago
13

Find the product. (x2+3x+7)(x^7)= Please help :)

Mathematics
1 answer:
Nesterboy [21]2 years ago
4 0

Answer: x^9+3x^8+7x^7

Step-by-step explanation:

the ^ mean the exponent

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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}
e^{t/100}A(t)=1500e^{t/100}+C
A(t)=1500+Ce^{-t/100}

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}
8 0
3 years ago
I tried to work this out, help
Oksanka [162]

Answer:

∠2

Step-by-step explanation:

Complementary angles are angles that add up to 90°

So ∠3 + ∠2 = 90°

4 0
3 years ago
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Mary brings 350 erasers to school. After she gives each of her 25 classmates and herself an equal number of erasers, she will gi
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Answer:

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Step-by-step explanation:

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1,248 divided by 4 show the work
Tju [1.3M]
1,248 divided by 4= 312

your welcome 

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7.05 seconds

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