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Eduardwww [97]
2 years ago
11

Ryan throws a baseball upward with an initial velocity of 12 m/s from a height of 2m above the ground. How long will it take for

the baseball to hit the ground? Round answer to the nearest 10th of a second.

Mathematics
1 answer:
Sonja [21]2 years ago
7 0

Answer:

It will take 2.6 s for the ball to hit the ground.

Step-by-step explanation:

This is a standard physics problem

The equation that defines the movement of Ryans baseball is given by the initial velocity, and the acceleration

Distance =  Do + Vo*t + 0.5*a*t^2

Where

Do is the initial distance.

(Do = 2m over the ground)

Vo is the initial velocity = 12m/s

a is the acceleration that is exerted on the body (in this case a = g = -9.8 m/s^2 )

t is the time

We substitute in the equation, and solve for t (time)

(0)=  2+ (12)*t + 0.5*(-9.8)*t^2

We get that

t = 2.606 s  = 2.6 s

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D(n)=-5(1/2)^n-1 what is the 3rd term in the sequence
Studentka2010 [4]

Answer:

-1.25

Step-by-step explanation:

Better to write this as

a(n)= -5(1/2)^(n-1)

Then the 3rd term is a(3) = -5(1/2)^(3 - 1), or  a(3) = -5(1/2)^2  = -5/4 = -1.25

7 0
2 years ago
An ice cream cone has a height of 6 inches and a radius of 2 inches as shown. The ice cream completely fills the cone, as well a
iragen [17]
The cone itself is 25.13, with the half sphere added it’s 41.8 :)
6 0
3 years ago
Two spray paint machines are used to paint different portions of a large wall. The first machine (nicknamed "Paint Pro") is used
jonny [76]

Answer: The answer is 30 sq.ft/min and 25 sq.ft/min.


Step-by-step explanation:  Given that there are two spray paint machines. The first machine (nicknamed "Paint Pro") is used for two hours and the second machine (nicknamed "Goldilocks") is used for an hour and a half. When they are working at the same time, they can paint 55 square feet per minute and together they painted 5850 square feet of wall.

Let 'x' and 'y' sq.ft/min be the portion of the wall painted by Paint Pro and Goldilocks respectively.

Then, according to the question, we have

x+y=55,\\\\120x+90y=5850~~\Rightarrow 4x+3y=195.

Multiplying first equation by 4 and subtracting the second equation from it, we have

4y-3y=220-195\\\\\Rightarrow y=25,

and

x=55-25=30.

Thus, Paint Pro will paint 30 sq.feet per minute and Goldilocks will paint 25 sq.ft per minute.

4 0
2 years ago
if the sin of angle x is 4/5 and the triangle was dilated to be two times as big as the orginal, what would be the value of the
Kobotan [32]

Answer:

There will be no change. It will still be 4/5

Step-by-step explanation:

When one performs a dilation of a triangle, all sides get affected. In this case, since the dilation is by a factor of two, the sides will double their lengths.

But recall that dilations will create similar triangles, which means that their angles at the vertices remain the same.

The trig functions of angles depend only on the actual angle they are applied to, so, since the angles remain the same, the sine value will stay the same: "4/5".

6 0
3 years ago
In an auditorium, there are 21 seats in the first row and 29 seats in the second row. The number of seats in a row continues to
eimsori [14]

Step-by-step explanation:

a) The 3rd row has 37 seats, the 4th row has 45 seats and the 5th row has 53 seats.

b) This is an arithmetic sequence because the values differ by a constant quantity.

c) You need to find the nth term of the sequence:

    21 = 1×8+x

    x=13

So the nth term is 8x +13.

The 100th term would be 813.

7 0
3 years ago
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