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
Gre4nikov [31]
3 years ago
14

After t seconds, a ball in the air from the ground level reaches a height of h feet given by the equation h= 144t-16t^2 . After

how many seconds will the ball hit the ground before rebounding?
Mathematics
1 answer:
Effectus [21]3 years ago
3 0
H=0
Therefore:
144t-16t²=0
t (144-16t)=0
We have two equations:
1)
t=0    (when the ball is released)
2)
144-16t=0
-16t=-144
t=-144 / -16=9  (this is the time )

Answer: the ball hit the ground in 9 s. 
You might be interested in
In angle STU, u = 890 cm, t = 810 cm and angle T=38°. Find all possible values of angle U, to the nearest degree.
erastova [34]

Answer:

754435.345345435.43.5435435454.35.34.543534.5.43.5.43.545

Step-by-step explanation:

7 0
3 years ago
Find the Correlation of the following two variables X: 2, 3, 5, 6 Y: 1, 2, 4, 5
Karolina [17]

Answer:

The correlation of X and Y is 1.006

Step-by-step explanation:

Given

X: 2, 3, 5, 6

Y: 1, 2, 4, 5

n = 4

Required

Determine the correlation of x and y

Start by calculating the mean of x and y

<em>For x</em>

M_x = \frac{\sum x}{n}

M_x = \frac{2 + 3+5+6}{4}

M_x = \frac{16}{4}

M_x = 4

<em>For y</em>

M_y = \frac{\sum y}{n}

M_y = \frac{1+2+4+5}{4}

M_y = \frac{12}{4}

M_y = 3

Next, we determine the standard deviation of both

S = \sqrt{\frac{\sum (x - Mean)^2}{n - 1}}

For x

S_x = \sqrt{\frac{\sum (x_i - Mx)^2}{n -1}}

S_x = \sqrt{\frac{(2-4)^2 + (3-4)^2 + (5-4)^2 + (6-4)^2}{4 - 1}}

S_x = \sqrt{\frac{-2^2 + (-1^2) + 1^2 + 2^2}{3}}

S_x = \sqrt{\frac{4 + 1 + 1 + 4}{3}}

S_x = \sqrt{\frac{10}{3}}

S_x = \sqrt{3.33}

S_x = 1.82

For y

S_y = \sqrt{\frac{\sum (y_i - My)^2}{n - 1}}

S_y = \sqrt{\frac{(1-3)^2 + (2-3)^2 + (4-3)^2 + (5-3)^2}{4 - 1}}

S_y = \sqrt{\frac{-2^2 + (-1^2) + 1^2 + 2^2}{3}}

S_y = \sqrt{\frac{4 + 1 + 1 + 4}{3}}

S_y = \sqrt{\frac{10}{3}}

S_y = \sqrt{3.33}

S_y = 1.82

Find the N pairs as (x-M_x)*(y-M_y)

(2 - 4)(1 - 3) = (-2)(-2) = 4

(3 - 4)(2 - 3) = (-1)(-1) = 1

(5 - 4)(4 - 3) = (1)(1) = 1

(6-4)(5-3) = (2)(2) = 4

Add up these results;

N = 4 + 1 + 1 + 4

N = 10

Next; Evaluate the following

\frac{N}{S_x * S_y} * \frac{1}{n-1}

\frac{10}{1.82* 1.82} * \frac{1}{4-1}

\frac{10}{3.3124} * \frac{1}{3}

\frac{10}{9.9372}

1.006

<em>Hence, The correlation of X and Y is 1.006</em>

4 0
4 years ago
Solve the system of equations.<br><br>x=y−9<br><br><br>8x−y=0<br><br><br>X=?<br><br>Y=?
Nataly [62]

Answer:

X = 9/7

Y = 72/7

Step-by-step explanation:

You need to subtract equation 1 by equation 2 to get rid of y. Then substitute your answer to find y.

3 0
3 years ago
Out of a total of 250 chairs, 75 are red. What percent of the chair are red?
ludmilkaskok [199]
30% of the chairs are red. 75/250 x x/100
7 0
4 years ago
How to simplify ln(3x^3)+3ln(x)=16
VLD [36.1K]

Answer:

\ln (3x^{6}) = 16

Step-by-step explanation:

Here's one way to do it.

\begin{array}{rcl}\ln (3x^{3}) + 3 \ln x & = & 16\\\ln (3x^{3}) + \ln(x^{3}) & = & 16\\\ln (3x^{3}\cdot x^{3})& = & 16\\\ln (3x^{6})& = & 16\\\end{array}

6 0
3 years ago
Other questions:
  • Simplified ratio of 250 to 100
    8·1 answer
  • 2. Write the number with the<br> same value as 28 tens.
    6·1 answer
  • A line that passes through the origin also passes through the point (6,2). What is the slope of the line?
    12·1 answer
  • Sushi and Fiona win some money and share it in the ratio 3:4. Sushil gets £39 how much did Fiona get ?
    8·1 answer
  • On a six-sided number cube, what is the probability that you will roll a number greater than 3?
    12·2 answers
  • The probability that a person will develop the flu after getting a flu shot is 0.04. In a random sample of 100 people in a commu
    9·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B39%7D%20" id="TexFormula1" title=" \sqrt{39} " alt=" \sqrt{39} " align="absmiddle
    5·1 answer
  • Convert 330 litres per hour into millilitres per minute (ml/min).
    14·1 answer
  • Question 2(Multiple Choice Worth 2 points)
    5·1 answer
  • A plant is 30cm tall when planted in a garden it increases by 10 percent each week how long will it take to reach 1 meter
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!