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My name is Ann [436]
3 years ago
12

Truck brakes can fail if they get too hot. In some mountainous areas, ramps of loose gravel are constructed to stop runaway truc

ks that have lost their brakes. The combination of a slight upward slope and a large coefficient of rolling friction as the truck tires sink into the gravel brings the truck safely to a halt. Suppose a gravel ramp slopes upward at 6.0∘ and the coefficient of rolling friction is 0.30. How long the ramp should be to stop a truck of 15000 kg having a speed of 35 m/s.
Mathematics
1 answer:
pickupchik [31]3 years ago
7 0

Kinetic engery = -1/2mv^2

Work = Fd

Combine:

-1/2mv^2 - Fd = 0

-1/2mv^2 = (0.30*15000*9.81*cos(6))d = 0

Multiply both sides by 2:

v^2 = 2d(0.30*9.81*cos(6))

Solve for d:

d=v^2 / 2(0.30*9.81*cos96))

v = speed:

d = 35^2 / 2*0.30 * 9.81 * cos(6)

d = 1225 / 5.85376

d = 209.27 meters. Round answer as needed.

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tensa zangetsu [6.8K]
                 2x - 5y = 20

At the x-intercept, y=0 .

                 2x        =  20  ==>  x = 10

At the y-intercept, x=0.

                       -5y =  20  ==>  y = -4
7 0
3 years ago
The graph represents function 1, and the equation represents funtion 2:
horsena [70]

Answer:

8

Step-by-step explanation:

we know that

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2 years ago
Solve the equation using square roots.<br> 2(x + 1)2 - 7 = 25<br> solution: x=
denpristay [2]

x=7

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3 years ago
What is... 15% of x Please help
lukranit [14]
This answer will probably be 3/20 x not sure
7 0
3 years ago
You are told that a 95% confidence interval for a population proportion is (0.3775, 0.6225) What was the sample proportion that
Maru [420]
The mean of the confidence interval is (0.3775 + 0.6225) / 2 = 0.5. Therefore, the standard deviation of the proportion would have been sqrt[0.5*(1 - 0.5) / n], where n is the sample size. This expression simplifies to sqrt(0.25/n).

A 95% CI has a corresponding z = 1.96, so since the distance from 0.5 to 0.3775 (or 0.6225 to 0.5) is equal to 0.1225. Therefore, if we divide 0.1225 / 1.96 = 0.0625, we get the value of the SD, and this should be equal to sqrt(0.25/n).

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This means that the proportion was 0.5 and the sample size was 64.
6 0
3 years ago
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