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yulyashka [42]
2 years ago
8

A ball was thrown upward into the air. The height, in feet, of the ball t seconds after it's thrown can be determined by the fol

lowing expression: -16t2 + 40t + 3
What is the meaning of the 3 in the expression?

A.
The ball took 3 seconds to reach its maximum height.

B.
The ball reached a maximum height of 3 feet.

C.
The ball took 3 seconds to reach the ground.

D.
The ball was thrown from an initial height of 3 feet.
Mathematics
1 answer:
expeople1 [14]2 years ago
7 0

9514 1404 393

Answer:

  D.  The ball was thrown from an initial height of 3 feet.

Step-by-step explanation:

The generic form of the equation for (vertical) ballistic motion is ...

  h(t)=-\dfrac{1}{2}gt^2+v_0t+h_0

where g is the acceleration due to gravity, usually approximated as 32 ft/s², v₀ is the initial upward velocity, and h₀ is the initial height.

The given equation matches the situation where the object was launched vertically at the rate of 40 ft/s from a height of 3 ft.

The 3 represents an initial height of 3 feet.

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A college student completed some courses worth 3 credits and some courses worth 4 credits. The student earned a total of 59 cred
DedPeter [7]

Answer:

They completed 13, 3 credit classes

Step-by-step explanation:

1. Make 2 formulas. In this case: x+y=18

and 3x+4y=59

2. Then multiply x+y=18 by 3 and subtract the two equations.

Find y which is 5 and input into the equations. Then find your answer.

5 0
3 years ago
Find the perimeter and area of a rectangle with a length of 3.4cm and a width of 4.3cm
zimovet [89]

Answer:

perimeter of a rectangle

=2×(L+B)

=2×(4.3+3.4)

=2×7.7

=15.4

Area of a rectangle

=L×B

=4.3×3.4

=146.2

5 0
3 years ago
Read 2 more answers
Plz show work and solve quick please need help!!!!!
Simora [160]
Surface area is just the area of all these 4 triangles plus the rectangle.

First we can find the area of the rectangle.

\sf A=lw

Half of the length is 28 cm, so the full length must be 28 * 2 = 56 cm.

\sf A=(56)(27)

\sf A=1512cm^2

The base for the left and right triangles are 27. The heights would be the net length minus half the length of the rectangle:

\sf 82.8-28=54.8\? cm

Calculate the area:

\sf A=\dfrac{1}{2}bh

\sf A=\dfrac{1}{2}(27)(54.8)

\sf A=739.8\?cm^2

We have two of these triangles.

\sf 739.8\times 2=1479.6\? cm^2

Now do the other two pair of triangles. The bases for them are 28 + 28 = 56 cm. The heights would be the net width minus the width of the rectangle:

\sf 81.2-27=54.2\?cm

Now find the area:

\sf A=\dfrac{1}{2}bh

\sf A=\dfrac{1}{2}(56)(54.2)

\sf A=1517.6\? cm^2

We have two of these triangles.

\sf 1517.6\times 2=3035.2\?cm^2

Add all the areas together:

\sf 1512+1479.6+3035.2=\boxed{\sf 6026.80\? cm^2}
7 0
3 years ago
The cost of a plane ticket varies directly as the number of miles in the trip. A 3000 mile trip costs $400. What is the cost of
melisa1 [442]

Answer:

$60

Step-by-step explanation:

set up a proportion and cross-multiply:

3000/400 = cost/450

c = cost

3,000c = 180,000

c = 180/3

c = 60

6 0
2 years ago
Please help and thank you.
Paladinen [302]

Because the ratio of acceptance is 9:100, we simply multiply both by 2:

9:100 = 18:100

The chances of her admitting the 18th student is Option B., 100%

3 0
2 years ago
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