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Romashka-Z-Leto [24]
2 years ago
6

A particle moves along the x-axis so that at any time t≥0 its velocity is given by v(t)= t^2In(t+2). What is the acceleration of

the particle at time t=6
Mathematics
1 answer:
S_A_V [24]2 years ago
3 0
Acceleration is the change of velocity per unit change of time. In this case, given the velocity equation, we can get the acceleration of the particle by taking the first derivative of the equation. v'(t)= t^2 (1/t+2) + 2t In(t+2). substituting t= 6, acceleration is equal to 29.45 m/s2.
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Two different factories both produce a certain automobile part. The probability that a component from the first factory is defec
Ulleksa [173]

Answer:

a. 55.56%

b. 44.44%

c. 3.33%

d. 33.33%

Step-by-step explanation:

total supply =  180

a. In the first factory the total number obtained = 100

probability that the chosen part is from the first

= 100/180

= 0.5556

= 55.56%

b. In the second factory total = 80

probability that the chosen part is from the second

= 80/180

= 0.4444

= 44.44%

c. probability that part chosen at random from 180 is defective

= 2% * 0.5556 + 5% * 0.4444

= 0.02*0.5556 + 0.05*0.4444

=  0.011112 + 0.0222

= 0.03331

= 3.33%

d. probability it came rom the first factory if it is defective

\frac{0.02*0.5556}{0.02*0.5556+0.05*0.4444}

= \frac{0.011112}{0.011112+0.0222}

= \frac{0.011112}{0.033312}

= 0.33357

= 33.33%

5 0
2 years ago
A bouncy ball is dropped such that the height of its first bounce is 3.25 feet and each successive bounce is 71% of the previous
grigory [225]

Answer:

i do not know bro for real this aint no game at all

8 0
2 years ago
William sunk 25% of the shots he made on the basket. If he threw 80 shots, how many did he miss?
Umnica [9.8K]

Answer:

Step-by-step explanation:

He missed 20 shots

Write 25% as 25100.

25100 of 80 = 25100 × 80.

Therefore, the answer is 20.

4 0
2 years ago
Read 2 more answers
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Nimfa-mama [501]

Answer:

Option A is correct.

Step-by-step explanation:

As we see the graph, we can say that the correct statement is :

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B.) Labor costs the same no matter how many hours are used for a repair. This is wrong as the graph is increasing after 1 hour.

C.) Labor costs for a repair are more expensive as the number of hours increases. This is wrong as the hours are increasing from 0.25 to 0.5 then to 0.75 but they all have the same cost.

D.)There is no cost of labor for a repair requiring less than 1 hour. This is also wrong. The cost is $50.

7 0
3 years ago
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