#### Find the velocity of the planet given by description below.

Consider a planet of mass m, moving in a circular orbit of radius r, around a star of mass M. From a = v2/r, the force of gravity and Newton’s second law, find the velocity of the planet. Assume...
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1h

#### Please Show all work.tanding on the edge of a diving platform 32 feet high, Anthony steps off the edge and falls into the pool below

Standing on the edge of a diving platform 32 feet high, Anthony steps off the edge and falls into the pool below. His descent into the water can be modeled by the equation ℎ(𝑡) = −16𝑡 2 + ℎ𝑜 to...
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1h

#### Consider an individual drop of water coming out of a decorative water fountain 3 feet above ground level with a velocity of 30 ft/sec.

Consider an individual drop of water coming out of a decorative water fountain 3 feet above ground level with a velocity of 30 ft/sec. The path of the water can be modeled by the equation, y = -16t...
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#### If f is a polynomial function, and f(a) and f(b) have opposite signs, what must occur between a and b. If f(a) and f(b) have the same sign, does it necessarily mean that this will not occur?

If f is a polynomial function, and f(a) and f(b) have opposite signs, what must occur between a and b. If f(a) and f(b) have the same sign, does it necessarily mean that this will not occur?...
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3h

#### I don't get his problem

oint J is on line segment IK‾IK. Given JK=x+6,JK=x+6, IJ=9,IJ=9, and IK=2x,IK=2x, determine the numerical length of JK‾.JK.

3h

#### Find the probability of rolling a 3 first and then an 11 when a pair of dice is rolled twice.

The answers are:1/18, 1/36, 1/324, 1/162

3h

#### The mean of the data for the resting heart rate of adults is 69 beats per minute, and the standard deviation is 4 beats per minute. The results of the data were normally distributed.

About what percentage of the population has a resting heart rate between 77 and 81?

4h

#### find another point on the line that is parallel to the given line and passes through the point (3,0)

4h

#### Need help with this stats question

A certain brand of batteries are known to fail 2% of the time. In order to ensure that she has a working flashlight, Maureen decides to keep four flashlights in her car. (Assume only one battery is...
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#### Analyze the polynomial... f(x)=5(x^2+4)(x-3)^3

F(x)=5(x^2+4)(x-3)^3A) the maximum number of turning points on the graph is?B) what is the power function that the graph of f resembles for large values of |x|

#### Analyze polynomial function... f(x)=(x+7)(x-5)^2

f(x)=(x+7)(x-5)^2A) the graph of F behaves like y = ___ for large values of |x|B) determine maximum number of turning points on the graph of the function

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