1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dominik [7]
2 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]2 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.

You might be interested in
4. Is rap music more popular among young Indians than among young Asians? A sample survey compared 634 randomly chosen Indians a
bulgar [2K]

Answer:

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap music every day.

Step-by-step explanation:

Given  a sample survey compared 634 randomly chosen Indians aged 15 to 25 with 567 randomly selected Asians in the same age group.

p_{1} = \frac{368}{634} =0.580

It found that 368 of the Indians and 130 Asians listened to rap music every day.

p_{2} = \frac{130}{567} =0.229

Null hypothesis H0: there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

p_{1} = p_{2}

Alternative hypothesis:- p_{1} \neq  p_{2}

Level of significance α = 0.05

The test of statistic

z = \frac{p_{1} -  p_{2}}{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} })  } } }

where p = \frac{n_{1}p_{1} + n_{1}p_{2}}{n_{1}+n_{2}} = \frac{634(0.580)+567(0.229)}{634+567}

       p = 0.414

and q = 1-p = 1- 0.414 =0.586

Z = \frac{0.580-0.229}{\sqrt{0.414(0.586)(\frac{1}{634} +\frac{1}{567} } } }

on calculation , we get

z = 0.300 ><1.96 at 95 % level of significance

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

3 0
3 years ago
15 times as much as 1 fith of 12
Mila [183]
The answer is 36.

12 / 5 = 2.4

2.4 • 15 = 36

I hope this helps!
8 0
3 years ago
Translate this phrase into an algebraic expression.
Alekssandra [29.7K]
4/x+10

(4 divided by x + 10)
7 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs.
solong [7]

Answer:

1. Number line 2

2. Number line 1

3. Number line 4

4. Number line 3

Step-by-step explanation:

1. x – 99 ≤ -104

Solving by adding +99 on both sides

x - 99 +99 ≤ -104 +99

x ≤ -5

Number line 2 represent x ≤ -5

2. x – 51 ≤ -43

Adding +51 on both sides

x -51 +51  ≤ -43 +51

x ≤ 8

Number line 1 represent x ≤ 8

3. 150 + x ≤ 144

Adding -150 on both sides

150 + x -150 ≤ 144 -150

x ≤ -6

Number line 4 represent x ≤ -6

4. 75 < 69 – x

Adding +x on both sides

75 + x < 69 -x +x

x < 69 -75

x < -6

Number line 3 represent x < -6

8 0
3 years ago
Jose wanted to compare the people in his math class who like country music to those who like rap music. If the Venn diagram abov
Anestetic [448]
The correct answer to this question is A; <span>A is students who like country music only, B is students who like both country and rap music, and C is students who like rap music only</span>
6 0
2 years ago
Read 2 more answers
Other questions:
  • write the place value of the underlined digit. round each number to the place of the underlined digit 2.348 *3 is underlined*
    5·1 answer
  • -8 1/4+5 2/3<br> Need the answer ASAP‼️
    10·1 answer
  • MIDPOINT &amp; DISTANCE help
    10·1 answer
  • Monica works in a clothing store. Her monthly pay is $800. She also receives 5% commission on all her sales. She had $35,748 in
    12·2 answers
  • A ghost crab can travel about 12 miles every 6 hours on the ocean’s floor. How far can the crab travel in 11 hours? Explain how
    8·1 answer
  • Help!<br><br> among us<br> Fwkqnf
    8·2 answers
  • Asappppppppp?????????????​
    7·1 answer
  • Find the measure of each angle.<br><br> 10x - 20=<br> 7x + 4
    10·2 answers
  • 15% of the students in the library have brown eyes. If there are 9 students with brown eyes, How many students are in the librar
    5·2 answers
  • Whats the value of X
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!