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Rina8888 [55]
3 years ago
6

13 points!!!! Help help help help help

Mathematics
1 answer:
adelina 88 [10]3 years ago
4 0
First questions answer is 1/9. The second is 1. I’m not very sure about this answer so....
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If the acceleration of an object is given by dv/dt = −2v, Find the position function s(t) if v(0) = 7 and s(0) = 0.
kirill [66]

Answer:

Step-by-step explanation:

Given that acceleration of an object is

\frac{dv}{dt} =-2v\\\frac{dv}{v} =-2dt\\ln v = -2t+C\\

is the solution to the differential equation

Since v(0) =7

we get ln 7 = C

Hence lnv = -2t+ln 7\\v=7e^{-2t}

since velocity is rate of change of distance s we have

v=\frac{ds}{dt} =7e^{-2t}\\s= [tex]s(t) =\frac{-7}{2} (e^{-2t})+C)[

substitute t=0 and s=0

C=7/2

So solution for distance is

s(t) =\frac{-7}{2} (e^{-2t}-1)

4 0
4 years ago
Which store has the better buy? Pet Smart sells 20 pounds of pet food for $13.99 or Chewy sells 50 pounds of pet food for $37.99
zimovet [89]

Answer:

pet smart sell

Step-by-step explanation:

because it is cheaper than other sell

6 0
3 years ago
If f(x) = 3x2, what is the x-coordinate of the point of intersection of the graphs of y = f(x) and y = f(x − 4)?
Minchanka [31]

Step-by-step explanation:

When f(x) = f(x - 4), 3x² = 3(x - 4)².

=> x² = (x - 4)², x = -(x - 4), 2x = 4, x = 2.

The x-value is 2.

8 0
3 years ago
The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is
andriy [413]

Answer:0.2

Step-by-step explanation:

A=3

P(A)=P(3)

=0.2

7 0
3 years ago
How to graph y=-3x+15
steposvetlana [31]

Answer:

Well first you put the y-intercept on the graph. In this case it would be 15

So graph the point (0,15)

The you do the slope which is 3

so you always do rise over run for slope.

If 3 were a fraction it would be 3/1 so go up 3 points and the go right 1 point from (0,15)

hope this helps .-.

3 0
4 years ago
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