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Yakvenalex [24]
3 years ago
9

Students in Mr. Taylor's physics class conducted an experiment by dropping a basketball from a height of 40 feet and then record

ing the ball’s height after each bounce. The ball climbed to a height of 20 feet after the first bounce, and 10 feet after the second bounce. If this pattern continues, how many feet high will the ball climb after the third bounce? Input the answer using numbers only.
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
3 0

Answer:

The answer would be 5 feet

Step-by-step explanation:

The class dropped the ball from 40 feet than after the ball bounced again it went to 20 feet than after the 2nd bounce it went to 10 feet and the pattern so far goes 40, 20, and 10. We need to find the common pattern of these 3 numbers and find the 4th number or x so to find the 4th number you can see that if you divide every number by 10 than you will get 4, 2, and 1 which you can see when divided by 2 every time goes to the next number so 4 divided  by 2 is 2 and 2 divided by 2 is 1 so we can assume 1 divided by 2 will be x divided by 10 so 1/2 is 0.5 so x divided by 10 is equal to 0.5 so the equation would be \frac{x}{10} =0.5 so we could multiply by 10 on both sides so we would get x = 5 so the final answer would be 5.

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A rectangle and a square have the same area. The width of the rectangle is 2 in less than the side of the square and the length
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The area of a rectangle is A=LW, the area of a square is A=S^2.

W=S-2 and L=2S-3

And we are told that the areas of each figure are the same.

S^2=LW, using L and W found above we have:

S^2=(2S-3)(S-2)  perform indicated multiplication on right side

S^2=2S^2-4S-3S+6  combine like terms on right side

S^2=2S^2-7S+6  subtract S^2 from both sides

S^2-7S+6=0  factor:

S^2-S-6S+6=0

S(S-1)-6(S-1)=0

(S-6)(S-1)=0, since W=S-2, and W>0, S>2 so:

S=6 is the only valid value for S.  Now we can find the dimensions of the rectangle...

W=S-2 and L=2S-3  given that S=6 in

W=4 in and L=9 in

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3 years ago
The equation of a straight line is y+10=5x
MariettaO [177]

Answer:

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Step-by-step explanation:

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3 years ago
Which of the following shows the division problem below in synthetic division form? (6x^3+x^2-3)/(x-7)
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Answer:

Option C.

Step-by-step explanation:

If a polynomial P(x) is divided by (x-c), then we write leading coefficients inside the synthetic division line and c outside the synthetic division line.

The given division problem is

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Here,

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7      |     6       1      0    -3

Therefore, the correct option is C.

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8 0
1 year ago
The largest possible circle is cut out of a square whose side length is 8 feet. What will be the approximate area, in square fee
valentina_108 [34]
<h3>Therefore the area of remaining board  =13.76 square feet</h3>

Step-by-step explanation:

Given , The length of side of the square is 8 feet.

Since a circle is inscribed in the square. Then the diameter of the circle is equal to the length of side of the square .

Therefore the diameter of the circle is = 8 feet.

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The area of the circle is= 3.14 r²

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The area of the square  is = side × side

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                                          =64 square feet

Therefore the area of remaining board = (64- 50.24)square feet

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