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Dominik [7]
3 years ago
15

A ball is thrown vertically in the air with an initial velocity of 60 feet per second from an initial height of 6 feet. The equa

tion describing the height of the ball at any time is s = -16t^2 +60t+6.
1. how long did it take for the ball to reach its height point?
2. How high did the ball go?
Mathematics
1 answer:
Novosadov [1.4K]3 years ago
8 0

Answer:

  1. 1.875 seconds to reach the maximum height
  2. 62.25 ft

Step-by-step explanation:

The problem can be solved by putting the equation into vertex form.

  s - 6 = -16(t^2 -15/4t)

  s -6 -16(15/8)^2 = -16(t^2 -15/4t +(15/8)^2) . . . . add the square of half the x-coefficient inside parentheses and equivalent amount on the other side of the equation

  s -62.25 = -16(t -15/8)^2 . . . . write as a square, simplify the constant

  s = -16(t -1.875)^2 +62.25 . . . . put in vertex form

The vertex of the downward-opening parabola is at (t, s) = (1.875, 62.25).

1. It took 1.875 seconds for the ball to reach its maximum height.

2. The ball went up to 62.25 feet.

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A paint manufacturer made a modification to a paint to speed up its drying time. Independent simple random samples of 11 cans of
nydimaria [60]

This question is incomplete. I got the complete part (the boldened part) of it from google as:

The following 98% confidence interval was obtained for μ1 - μ2, the difference between the mean drying time for paint cans of type A and the mean drying time for paint cans of type B:

4.90 hrs < μ1 - μ2 < 17.50 hrs.

Answer:

A paint manufacturer made a modification to a paint to speed up its drying time. Independent simple random samples of 11 cans of type A​ (the original​ paint) and 9 cans of type B​ (the modified​ paint) were selected and applied to similar surfaces. The drying​ times, in​ hours, were recorded. The summary statistics are as follows. Type A Type B x 1x1equals=76.3 hr x 2x2equals=65.1 hr s 1s1equals=4.5 hr s 2s2equals=5.1 hr n 1n1equals=11 n 2n2equals=9 The following​ 98% confidence interval was obtained for mu 1μ1minus−mu 2μ2​, the difference between the mean drying time for paint cans of type A and the mean drying time for paint cans of type B. What does the confidence interval suggest about the population​ means?

The mean difference for the 98% confidence interval, the drying times of the two types of paints are (4.90, 17.50). This implies that Type A paint takes between 4.90 and 17.50 hours more to dry than type B paint.

Step-by-step explanation:

The mean difference for the 98% confidence interval, the drying times of the two types of paints are (4.90, 17.50). This implies that Type A paint takes between 4.90 and 17.50 hours more to dry than type B paint.

Only positive values comprise the confidence interval which suggests that the mean drying time for paint type A is greater than the mean drying time for paint type B. The modification appears to be effective in reducing drying times.

7 0
3 years ago
Matt plans to put concrete on a rectangular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of
aleksklad [387]
<span>Hi,
   
1 cubic yard = 27 cubit feet
 
Then we must find the no. of cubic yards .... for 1 cubic yard = $98 for "x" cubic yard = $58.07 1/x =98/58.07 x = 0.5925
 
Now we have to convert this in to cubic feet... 1 cubic yard = 27 cubic feet 0.5925 cubic yard = x cubic feet 1/0.5925= 27/x x = 15 .99

cubic feet now width x height x length = 16 cubic feet w x 8 x (1/3) = 16 w = 48/8 = 6 feet yep!


there for the width of the yard is approximately 6 feet.. hope this will help ya ! </span>
5 0
4 years ago
The attempt to recapture the Holy Land from the Muslims is called the .
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Answer: the Crusades
5 0
3 years ago
Please help, multiple choice question
oksano4ka [1.4K]
The correct answer is:
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3 0
3 years ago
Max makes bread that calls for 7/8 cup of raisins per loaf. He has 5 1/4 cups of raisins. How many loaves of bread can he make?
Sveta_85 [38]

Answer:

False.

Step-by-step explanation:

The answer is NOT 6 1/2 loaves it is 6 loaves.

Knowing that there Max has 5 1/4 cups of raisins and each loaf requires 7/8 cup of raisins, we would need to divide.

Let's turn the 5 1/4 into an improper fraction so when we divide the two fractions, it would be easier!

<u>To turn 5 1/4 into an improper fraction we need to...</u>

5 x 4 = 20

20 + 1

21/4

Now we divided 21/4 by 7/8.

When dividing fractions remember the rule: KEEP CHANGE FLIP!

We keep the first fraction...which is 21/4 in this case

Change the sign from division to multiplication

21/4 x 7/8

And flip 7/8 so it becomes 8/7

21/4 x 8/7

= 168/28

  = 6 loaves

So, the answer is not 6 1/2 loaves (false!)

7 0
3 years ago
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