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aliina [53]
3 years ago
5

Q4 Q20.) Give the equation of the exponential function whose graph is shown.

Mathematics
1 answer:
Elodia [21]3 years ago
3 0
Hi again!


I used an online calculator to help me graph each of the functions.

The correct answer is option D

Let me know if you have any questions about the answer!


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Thats good!

Step-by-step explanation:

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Suppose that a large mixing tank initially holds 100 gallons of water in which 50 pounds of salt have been dissolved. Another br
Serggg [28]

Answer:

dA/dt = 12 - 2A/(100 + t)

Step-by-step explanation:

The differential equation of this problem is;

dA/dt = R_in - R_out

Where;

R_in is the rate at which salt enters

R_out is the rate at which salt exits

R_in = (concentration of salt in inflow) × (input rate of brine)

We are given;

Concentration of salt in inflow = 4 lb/gal

Input rate of brine = 3 gal/min

Thus;

R_in = 4 × 3 = 12 lb/min

Due to the fact that solution is pumped out at a slower rate, thus it is accumulating at the rate of (3 - 2)gal/min = 1 gal/min

So, after t minutes, there will be (100 + t) gallons in the tank

Therefore;

R_out = (concentration of salt in outflow) × (output rate of brine)

R_out = [A(t)/(100 + t)]lb/gal × 2 gal/min

R_out = 2A(t)/(100 + t) lb/min

So, we substitute the values of R_in and R_out into the Differential equation to get;

dA/dt = 12 - 2A(t)/(100 + t)

Since we are to use A foe A(t), thus the Differential equation is now;

dA/dt = 12 - 2A/(100 + t)

5 0
3 years ago
DONT ANSWER JUST FOR POINTS! PLEASE, PLEASE HELP ME! I NEED THE ANSWER! RIGHT AWAY! ILL GIVE MOST BRAINLIEST!
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Answer:

  • D. They are similar by the definition of similarity in terms of a dilation.

Step-by-step explanation:

<em>Refer to attached</em>

The points are plotted and connected to make triangles

As per the diagram, the triangles are similar, each side of ABC is reduced twice to make the corresponding sides of DEF, so the scale factor is 1/2.

<u>Correct choice is D</u>

  • They are similar by the definition of similarity in terms of a dilation.

6 0
3 years ago
Which equation represents a circle that contains the point (-5. -3) and has a center at (-2, 1)?
nlexa [21]
The answer for this is b. Trust me on this
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