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3 years ago

What are the coordinates of the first alien who needs to be rescued

Mathematics

2 answers:

Maslowich3 years ago

7 0

huh? this does not make sense

AfilCa [17]3 years ago

6 0

Answer:

guys ttrust me its 1,4 4 i took it on edg

Step-by-step explanation:

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What is 1+1? Need help with my son's online school I never went to school so no one has ever taught me math

goldfiish [28.3K]

Answer:

Step-by-step explanation:

.3.

4 0

3 years ago

A 75-gallon tank is filled with brine (water nearly saturated with salt; used as a preservative) holding 11 pounds of salt in so

Debora [2.8K]

Let $A(t)$ = amount of salt (in pounds) in the tank at time $t$ (in minutes). Then $A(0) = 11$ .

Salt flows in at a rate

$\left(0.6\dfrac{\rm lb}{\rm gal}\right) \left(3\dfrac{\rm gal}{\rm min}\right) = \dfrac95 \dfrac{\rm lb}{\rm min}$

and flows out at a rate

$\left(\dfrac{A(t)\,\rm lb}{75\,\rm gal + \left(3\frac{\rm gal}{\rm min} - 3.25\frac{\rm gal}{\rm min}\right)t}\right) \left(3.25\dfrac{\rm gal}{\rm min}\right) = \dfrac{13A(t)}{300-t} \dfrac{\rm lb}{\rm min}$

where 4 quarts = 1 gallon so 13 quarts = 3.25 gallon.

Then the net rate of salt flow is given by the differential equation

$\dfrac{dA}{dt} = \dfrac95 - \dfrac{13A}{300-t}$

which I'll solve with the integrating factor method.

$\dfrac{dA}{dt} + \dfrac{13}{300-t} A = \dfrac95$

$-\dfrac1{(300-t)^{13}} \dfrac{dA}{dt} - \dfrac{13}{(300-t)^{14}} A = -\dfrac9{5(300-t)^{13}}$

$\dfrac d{dt} \left(-\dfrac1{(300-t)^{13}} A\right) = -\dfrac9{5(300-t)^{13}}$

Integrate both sides. By the fundamental theorem of calculus,

$\displaystyle -\dfrac1{(300-t)^{13}} A = -\dfrac1{(300-t)^{13}} A\bigg|_{t=0} - \frac95 \int_0^t \frac{du}{(300-u)^{13}}$

$\displaystyle -\dfrac1{(300-t)^{13}} A = -\dfrac{11}{300^{13}} - \frac95 \times \dfrac1{12} \left(\frac1{(300-t)^{12}} - \frac1{300^{12}}\right)$

$\displaystyle -\dfrac1{(300-t)^{13}} A = \dfrac{34}{300^{13}} - \frac3{20}\frac1{(300-t)^{12}}$

$\displaystyle A = \frac3{20} (300-t) - \dfrac{34}{300^{13}}(300-t)^{13}$

$\displaystyle A = 45 \left(1 - \frac t{300}\right) - 34 \left(1 - \frac t{300}\right)^{13}$

After 1 hour = 60 minutes, the tank will contain

$A(60) = 45 \left(1 - \dfrac {60}{300}\right) - 34 \left(1 - \dfrac {60}{300}\right)^{13} = 45\left(\dfrac45\right) - 34 \left(\dfrac45\right)^{13} \approx 34.131$

pounds of salt.

7 0

1 year ago

Enter the answer to the problem below, using the correct number of

Setler [38]

Answer:

Step-by-step explanation:

This is correct all you do is add them up like this:

30.27

1.9

+22.952

________

55.112

7 0

2 years ago

Sharon is buying a circular rug for her living room. The diameter of the rug is 8 feet. Which measurement is closest to the area

Vanyuwa [196]

Answer:

B) 50.24 ft^2

Step-by-step explanation:

radius =1/2 diameter = 4

area = Pi(r^2) = 3.14(4^2) = 3.14(16) = 50.24

6 0

2 years ago

15% of tickets sold are child tickets if there were 460 tickets sold on Saturday how many were sold too children

Feliz [49]

The answer would be 69 because u need to convert the percentage to a decimal which would be .15 and multiply by 460 and get 69

4 0

3 years ago