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jonny [76]
2 years ago
11

Tanya kicks a ball into the air. The function that models this scenario is f(t) = –16t2 + 96t, where h is the height of the ball

in feet and t is the time seconds. When will the ball hit the ground?
Mathematics
2 answers:
rusak2 [61]2 years ago
7 0
Assuming that is t^2 which I think it is,
You do 16t^2-96t=0
16t(t-6) - factoring
t=6 
because t>0
Irina-Kira [14]2 years ago
6 0
The ball will hit the ground when h(t)=0 so:

16t^2-96t=0

16t(t-6)=0, since t>0

t=6

So the ball with hit the ground after 6 seconds.
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Students at a high school were polled to determine the type of music they preferred. There were 1940 students who
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Answer:

students preferred alternative music

= 461/1940 ×100%=23.7%

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2 years ago
A craft vendor must sell at least $300 worth of merchandise to make a profit. Scarves sell for $10 each and hats sell for $20 ea
valina [46]
There is a missing graph in the problem given. However, we can simply solve the equation using the given data.

Items to be sold: scarves and hats. Minimum of 20 items sold in all.
Scarves sell for 10 each and hats sell for 20 each. Must sell at least 300 worth of merchandise to make profit. 

Let s represent scarves and h represent hats.

10s + 20h <u>></u> 300
s + h <u>></u> 20

We use inequality because the problem states "at least". 

s + h = 20
10s + 20h = 300

s = 20 - h
10(20-h) + 20h = 300
200 - 10h + 20h = 300
10h = 300 - 200
10h = 100
h = 100/10
h = 10

s = 20 - h
s = 20 - 10
s = 10

s + h <u>></u> 20
10 + 10 <u>></u> 20

10s + 20h <u>></u> 300
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7 0
2 years ago
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Daisy measured the heights of 20 plants.
sergiy2304 [10]

Answer:

  • 30.5 cm

Step-by-step explanation:

<em>Refer to attached</em>

  • Height of plants (h) >> Frequency >> Midpoint >> Frequency x midpoint
  • 0 <h < 10 >>  1  >> 5 >> 5
  • 10 <h < 20 >> 4 >> 15 >>  60
  • 20 <h < 30 >> 7 >> 25 >> 175
  • 30 <h < 40 >> 2 >> 35 >> 70
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  • 50 <h < 60 >> 3 >> 55 >> 165

Sum of frequencies = 20

Sum of frequency x midpoint product = 610

<u>Mean height </u>

  • 610/20 = 30.5 cm

5 0
2 years ago
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