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Oksi-84 [34.3K]
2 years ago
5

Pleeasee help this is khan academy :(

Mathematics
2 answers:
DanielleElmas [232]2 years ago
8 0

Answer:

2

Step-by-step explanation:

<h2><u>PLS MARK BRAINLEST!!!</u></h2>
Dahasolnce [82]2 years ago
6 0

Answer:

1/2

Step-by-step explanation:

hope this helps

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A tank initially contains a solution of 10 pounds of salt in 60 gallons of water. Water with 1/2 pound of salt per gallon is add
RUDIKE [14]

Salt flows into the tank at a rate of

(1/2 lb/gal) * (6 gal/min) = 3 lb/min

and flows out at a rate of

(Q(t)/60 lb/gal) * (6 gal/min) = 6Q(t) lb/min

The net rate of change of the amount of salt in the tank at time t is then governed by

\dfrac{\mathrm dQ}{\mathrm dt}=3-6Q

Solve for Q:

\dfrac{\mathrm dQ}{\mathrm dt}+6Q=3

e^{6t}\dfrac{\mathrm dQ}{\mathrm dt}+6e^{6t}Q=3e^{6t}

\dfrac{\mathrm d}{\mathrm dt}[e^{6t}Q]=3e^{6t}

e^{6t}Q=\dfrac{e^{6t}}2+C

\implies Q=\dfrac12+Ce^{-6t}

The tank starts with 10 lb of salt, so that Q(0) = 10. This gives us

10=\dfrac12+C\implies C=\dfrac{19}2

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

\boxed{Q(t)=\dfrac{1+19e^{-6t}}2}

4 0
3 years ago
Absolute value of -6
Degger [83]

The absolute value of -6 is 6

-6 = |6|

Hope this helps

-AaronWiseIsBae

3 0
3 years ago
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Need help on the 2 questions ASAP and SHOW WORK PLEASE !!!! 50 points ????
zaharov [31]

Answer:

-4 - 8-=-4

Step-by-step explanation:

4 0
2 years ago
What is the lateral area of the cone to the nearest whole number? The figure is not drawn to scale. Helppp which one is it
dezoksy [38]

It would be 49,009 because LA of a cone is height (50) times the radius (120) and that equals about 49,009.

6 0
3 years ago
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC =16 and DC=5 what is the length of BC in the simplest ra
Nana76 [90]

The length of BC is 4 \sqrt{5}.

Solution:

Given ABC is a right triangle.

AC is the hypotenuse and BD is the altitude.

AB and BC are legs of the triangle ABC.

AC = 16 and DC = 5

<u>Leg rule of geometric mean theorem:</u>

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{AC}{BC}=\frac{BC}{DC}$

$\Rightarrow \frac{16}{x}=\frac{x}{5}$

Do cross multiplication.

\Rightarrow  16\times 5 = x\times x

\Rightarrow  80= x^2

\Rightarrow  16\times 5= x^2

Taking square root on both sides.

\Rightarrow  \sqrt{16\times 5} = \sqrt{x^2}

\Rightarrow  \sqrt{4^2\times 5} = \sqrt{x^2}

square and square roots get canceled, we get

\Rightarrow  4\sqrt{ 5} = x

The length of BC is 4 \sqrt{5}.

7 0
3 years ago
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