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bija089 [108]
3 years ago
15

Hello:) how to do this? using partial fractions

Mathematics
1 answer:
zubka84 [21]3 years ago
4 0
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if you have a zero exponent, the number (or the base) equals 1

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A ball is shot from a cannon into the air. The equation that's gives the height (h) of the ball of any time (t) is: h(t)= -16t^2
Gre4nikov [31]

Answer:

26.5 units

Step-by-step explanation:

The height of the ball at any time t is given by :

h(t)= -16t^2 + 40t + 1.5 ...(1)

We need to find the maximum height of the ball.

For maximum height, put \dfrac{dh}{dt}=0

i.e.

\dfrac{d( -16t^2 + 40t + 1.5)}{dt}=0\\\\-32t+40=0\\\\t=\dfrac{40}{32}\\\\t=1.25\ s

Put t = 1.25 in equation (1) to find the maximum height.

So,

h(t)= -16(1.25)^2 + 40(1.25) + 1.5\\\\=26.5\ units

So, the maximum height reached by the ball is 26.5 units.

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3 years ago
Jim and Holly are making gingerbread men. It takes them both 2 minutes to make 2 gingerbread shapes. At this rate, how many peop
Ostrovityanka [42]
<span>The answer is 2 person. The relation for 2 persons is as following: 2 minutes = 2 gingerbread men. If those 2 persons want to make 400 gingerbread men, they will need x minutes. So: 2 minutes : 2 gingerbread men = x : 400 gingerbread men. x = 2 minutes * 400 gingerbread men : 2 gingerbread men = 400 minutes. In other words, 2 persons will make 400 gingerbread men in 400 minutes.</span>
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4 years ago
Which of the following sets represents the range of the function shown? {(–3, 4), (5, 11), (9, –1), (10, 13)}
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