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Svet_ta [14]
3 years ago
12

Jejxjdndnndndbdbdnsnbdbdb

Mathematics
1 answer:
amm18123 years ago
3 0

I have no clue ...I'm nt so good in maths
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A particle, initially at rest, moves along the x-axis such that its acceleration at time t > 0 is given by a(t) = 6cos(t). At
Rom4ik [11]

a. By the fundamental theorem of calculus, the velocity function is

v(t)=v(0)+\displaystyle\int_0^ta(u)\,\mathrm du

The particle starts at rest, so v(0)=0, and we have

v(t)=\displaystyle\int_0^t6\cos u\,\mathrm du=6\sin u\bigg|_0^t=6\sin t

Then the position function is

x(t)=\displaystyle x(0)+\int_0^tv(u)\,\mathrm du

with x(0)=6, so

x(t)=6+\displaystyle\int_0^t6\sin u\,\mathrm du=6-6\cos u\bigg|_0^t=12-6\cos t

b. The particle is at rest whenever v(t)=0; this happens for

6\sin t=0\implies \sin t=0\implies t=n\pi

where n is any integer.

3 0
3 years ago
#<br> 6x²-12x-25=-7<br> vertex<br> axis of symmetry
tino4ka555 [31]
Axis of symmetry: x=1
Vertex: (1, -24)

Explanation:

6x²-12x-25=-7

6x²-12x-18=0

a=6, b=-12, c=-18

Formula of axis of symmetry: x=-b/2a

x=-b/2a

x= -(-12)/2(6)

x= 12/12

x= 1

Vertex: (1,?)

Sub x= 1 into the equation,
6(1)² - 12(1) - 18 = y

6 - 12 - 18 = y

y = -24



4 0
3 years ago
Read 2 more answers
Jeremy randomly selected a round tile and a square tile from the sets shown below. What is the probability that Jeremy
Yuri [45]

Answer:

b. 4/9

Step-by-step explanation:

The probability of selecting either two white or blue tiles and square and round tile is 4. The two white tiles could either be square and round, square, round, or the white tiles could be either square and round, round or square. Each tile has four possible outcomes blue,white, square,round.

6 0
4 years ago
PLEASE ANSWER. WILL GIVE BRAINLIST TO THE FIRST THAT ANSWERS
Elza [17]
First you would take both radius' and add them. Once you add them, subtract the sum by 42. that will give you the distance between the gap of the circles. now that you have that distance, add 19 and 11 and your result is your final answer.
3 0
4 years ago
Twice a number subtracted from five
snow_lady [41]

Answer:

5 - 2x

Step-by-step explanation:

It mentions that twice a number is subtracted from the number 5. So 2x is subtracted from 5 ( 5 - 2x )

8 0
3 years ago
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