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lozanna [386]
3 years ago
8

6 pipes can fill a reservoir in 24minutes.one pipe can fill it in

Mathematics
1 answer:
Hunter-Best [27]3 years ago
3 0
The answer to your question is 4 minutes
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a ball is thrown with a slingshot at a velocity of 110ft/sec at an angle of 20 degrees above the ground from a height of 4.5 ft.
satela [25.4K]

Answer:

t=2.47\ s  

Step-by-step explanation:

The equation that models the height of the ball in feet as a function of time is

h(t) = h_0 + s_0t -16t ^ 2

Where h_0 is the initial height, s_0 is the initial velocity and t is the time in seconds.

We know that the initial height is:

h_0 = 4.5\ ft

The initial speed is:

s_0 = 110sin(20\°)\\\\s_0 = 37.62\ ft/s

So the equation is:

h (t) = 4.5 + 37.62t -16t ^ 2

The ball hits the ground when when h(t) = 0

So

4.5 + 37.62t -16t ^ 2 = 0

We use the quadratic formula to solve the equation for t

For a quadratic equation of the form

at^2 +bt + c

The quadratic formula is:

t=\frac{-b\±\sqrt{b^2 -4ac}}{2a}

In this case

a= -16\\\\b=37.62\\\\c=4.5

Therefore

t=\frac{-37.62\±\sqrt{(37.62)^2 -4(-16)(4.5)}}{2(-16)}

t_1=-0.114\ s\\\\t_2=2.47\ s  

We take the positive solution.

Finally the ball takes 2.47 seconds to touch the ground

4 0
3 years ago
Find the slope. Please reply if you can help
aliina [53]

Answer:

1/1 because you go up 1 and over 1

7 0
3 years ago
Read 2 more answers
Explain why it is usually only necessary to test one point when graphing an inequality
Mars2501 [29]
Because if that point is true than everything on that side of the number line is true. Visa versa.
4 0
3 years ago
Use the drawing tool(s) to form the correct answer on the provided graph.
AlekseyPX

The solutions to the system of equations are (-2,-6) and (4,6)

<h3>How to determine the system of equations?</h3>

We have:

-2x + y = -2

y = -\frac12x^2 + 3x + 2

Next, we plot the graph of both functions.

From the attached graph, the equations intersect at (-2,-6) and (4,6)

Hence, the solutions to the system of equations are (-2,-6) and (4,6)

Read more about system of equations at:

brainly.com/question/21405634

#SPJ1

5 0
2 years ago
Please help!!!!!!!!!!!!!!!
konstantin123 [22]
Here's a scenario that you can edit to your own advantage. You own a shirt shop. Each shirt sells for 15 dollars, and to make profit annually you need to sell $62,365 worth of shirts. If you've sold 2,000 shirts so far, how many shirts do you need to meet your quota. How many shirts on average per month would you have to sell?
7 0
3 years ago
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