11/08/21
Physics question
A soccer ball is kicked from midfield and the first bounce hits the goal line 60m away. If the ball is in the air for 3 seconds, what was the speed of the ball when it left the kicker’s boot?...
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Your gym membership costs $27.65 per month after an initial membership fee. You paid a total of $179.13 after 6 months.
A. Write an equation that gives you the total cost,y, related to the number of months,x, of your gym membership. B. Find the total cost after 9 months.
11/03/21
calculus word problem
A lake initially contains 5000 fish. Suppose that in the absence of predators or other causes of removal, the fish population increases by 9% each month. However, factoring in all causes, 100 fish...
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11/02/21
Find maximum height and range of a rocket that is launched at 70 degrees.
During 6.5 seconds, a rocket rises at a rectilinear trajectory oriented to 70 degrees, with a constant acceleration of 8 m/s^2. It is in free fall. Find a) the maximum height and b) the range.Much...
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11/01/21
A 200 kg piano is moved 6.8 m across a smooth floor by a force of 220 N directed downward at 25 degrees.
A 200 kg piano is moved 6.8 m across a smooth floor by a force of 220 N directed downward at 25oW = F·cos(𝜃)·dWnet = ΔK = KFinal − KInitialK=1/2 mv^2A. How much work is done by the force on the...
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11/01/21
For each pair of functions, find f(g(x)) and g(f(x)). Simplify your answers.
f(x)= 1/x-6, g(x)= 7/x+6
11/01/21
Physics answers please, appreciate it in advance.
A positive charge of 0.00078 C is 28 m from a negative charge of 0.0006 C. What is the force of one of the charges due to the other charge in units of Newtons?
Charges Q1 and Q2 exert repulsive...
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11/01/21
how do you make equation that represents the situation.
The cost y (in dollars) to rent a kayak is proportional to the number $x$x of hours that you rent the kayak. It costs $27 to rent the kayak for 3 hours.a. Write an equation that represents the...
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A plane is flying due South at 200 miles per hour when wind starts blowing, and they realize the plane is now flying with velocity b = 40 i − 170 j .
Sketch the initial velocity vector a the plane is moving (not to scale), the resulting velocity vector b the plane moves as a result of the wind, as well as the wind velocity vector w. Find the...
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10/28/21
The length of a rectangle is increasing at a rate of 6 centimeters per second and its width is increasing at a rate of 2 centimeters per second.
The length of a rectangle is increasing at a rate of 6 centimeters per second and its width is increasing at a rate of 2 centimeters per second. When the length is 20 cm and the width is 10...
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10/26/21
Physics Acceleration
An athlete accelerates to 10 m/sec and then jumps at a 25° angle. How far will he jump?
Given, y=(√1+cos(x^2)). Find dy/dx by using chain rule.
Given,y = (√1+cos(x2))
10/18/21
The speed of car as measured by the speedometer is 95 km/hr. Convert this unit to cm/s
A. 95 000 cm/sB. 2639 cm/sC. 1583 cm/sD. 3958 cm/s
10/13/21
Find the an equation for the tangent line for the following: y=7^x at the point (1,7)
I have been working on this for a while. I know I'm getting the derivative right, but I'm struggling with plugging this back into point slope form to find an equation. Here's my work, line by...
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10/13/21
Let f ( x ) = 3x^6 ln x , find f'(x), find f'(e^2)
Let f(x)=3x6 ln xf'(x)= 18x ln5 (x)+3x5f'(e2) = _____?This last part of the question is really confusing me, I know that you would typically enter the value of f'(#) into the equation, but what do...
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