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Monica [59]
4 years ago
5

Evaluate the expression for x = –3

Mathematics
1 answer:
IgorC [24]4 years ago
3 0
Kinda confused of the question
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A particle is moving along the x-axis so that its position at t ≥ 0 is given by s(t) = (t)In(5t). Find the acceleration of the p
Anika [276]

position =  s(t) = (t)In(5t)

velocity = ds/dt =  t d/dt (ln (5t)) +d/dt (t) ln (5t)

              = t * 5 1/5t  + ln (5t)

          =  1 + ln (5t)

acceleration = dv/dt = d^2s/dt^2 = d/dt (1 + ln(5t))

                      =d/dt (1) + d/dt (ln 5t)

                        = 0 + 1/5t * 5

                       = 1/t

0 = 1 + ln (5t)

-1 = ln (5t)

e^-1 = 5t

1/e = 5t

1/(5e) =t

acceleration = 1/t = 1/(1/5e) = 5e

Answer: 5e

5 0
3 years ago
What are the square roots of 289?
Natasha2012 [34]

It is A. 17 and -17 :)
6 0
3 years ago
Read 2 more answers
22,056 people went to the baseball game on Sunday. Half as many people came on money. How many people were at the baseball game
lana66690 [7]

Answer:

33084

Step-by-step explanation:

22056 divided by 2 =11028

altogether (on sunday and monday) the total amount would be..

22056+11028=33084

5 0
3 years ago
Read 2 more answers
If Catherine traveled 2,000 miles in 5 hours on her plane flight to her vacation destination, at what rate was the plane traveli
7nadin3 [17]
C 400 mph ... 2000/5
6 0
3 years ago
5. Kim bakes 1/4 of the cookies that are sold at a local bake sale, One-third of her cookies are
azamat

Answer:

\frac{1}{48}th

Step-by-step explanation:

Let X cookies are sold at the local bake sale.

So,

\frac{X}{4} cookies will be made by Kim.

Now,

Given is One-third of her cookies are chocolate chip.

So, One-third of \frac{X}{4}  will be chocolate chip

Which is \frac{X}{12}.

Out of whixh one-fourth have nuts.

So,\frac{X}{48} cookies will be having nuts.

So, \frac{1}{48}th of the Total cookies at the bake (X) will be having nuts.

7 0
3 years ago
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