3 years ago

37=-3+5(x+6) how to solve

Mathematics

2 answers:

ANEK [815]3 years ago

8 0

Hello, your answer is 2, x=2

xz_007 [3.2K]3 years ago

4 0

37=3+5x+30
37=35+5x
37-35=5x
2=5x
2÷5=x
0.4=x

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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

Need help with this plzzzz

sweet [91]

I would say D my dear friend from what i see from the patterns hope it helps :) and sorry if its wrong i tried lol

8 0

3 years ago

Read 2 more answers

In the figure angle B= angle D. AB=40, AC=35, BC=25, CE=28. Find ED to the nearest whole number. ( see image )

swat32

Answer:

i believe the answer is D