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anygoal [31]
2 years ago
4

The driver of a car traveling at 60 ft/sec suddenly applies the brakes. The position of the car is s(t) = 60t − 1.5t2, t seconds

after the driver applies the brakes. How many seconds after the driver applies the brakes does the car come to a stop?
Mathematics
1 answer:
Ede4ka [16]2 years ago
3 0

Answer:

20 seconds

Step-by-step explanation:

Given:

Position of car = s(t) = 60t-1.5t^2

The speed is the change in position.

So,

Speed\ of\ car=\frac{ds}{dt} = \frac{d}{dt} (60t) -\frac{d}{dt} (1.5t^2)\\=60-2t(1.5)\\=60-3t

When the car will stop, the speed will be zero.

60-3t=0\\3t=60\\t = \frac{60}{3}\\ t=20

Therefore, the car will stop after 20 seconds of applying the break ..

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We are asked to solve for the volume of the composite figures and the answer is the summation of the two volumes such as the volume of a triangular prism and volume of a rectangular prism. In order to solve this, we need to recall the following formulas:
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the volume of triangular prism = 1/2 * 15* 16*20 = 3600 units³
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You and your neighbor attempt to use your cordless phones at the same time. Your phones independently select one of ten channels
ExtremeBDS [4]

Answer:

1/100.

Step-by-step explanation:

So, we can make the following deductions from the information given in the question or problem above.

[1]. "You and your neighbor attempt to use your cordless phones at the same time."

DEDUCTION: Two people are involved, that is you and your neighbor are both involved.

[2]. "Your phones independently select one of ten channels at random to connect to the base unit. "

DEDUCTION: Both cordless phones can choose one channels each which is random. The number of channels available is ten.

Therefore, the probability that both your phone and your neighbor phone pick the same channel can be calculated or determined as follows:

The probability that both your phone and your neighbor phone pick the same channel = probability that both your phone will pick one channel out of the ten channels ×  the probability that your neighbor phone pick one channel out of the ten channels.

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