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
RoseWind [281]
3 years ago
14

A ball is launched into the sky at 272 feet per second from the roof of a skyscraper 1,344 feet tall. The equation for the ball’

s height h at time t seconds is h = -16t2 + 272t + 1344. When will the ball strike the ground?
Mathematics
1 answer:
xz_007 [3.2K]3 years ago
5 0

When the ball is in the ground, its height is basically equal to zero thus making our equation,

<span>    -16t^2 + 272t + 1344 = 0</span>

Simplifying the equation will give us,

<span>  - t^2 + 17t + 84 = 0 or t^2 – 17t – 84 = 0</span>

Factoring out the equation will give us,

<span>   (t – 21)(t + 4) = 0</span>

Thus, t = 21 or t = -4. -4 is an extraneous root. Thus, the answer is t = 21.

<span>Answer: 21 seconds</span>

You might be interested in
Solve the following systems of equations.<br> 2^(2x+y−1) = 32<br> 4^(x−2y) = 2
Rina8888 [55]

Answer:(x,y)=(2.5,1)

Step-by-step explanation:

Given

2^{2x+y-1}=32

2^{2x+y-1}=2^5

thus on comparing  

2x+y=6------1

4^{x-2y}=2

2^{2(x-2y)}=2

On comparing exponent of 2

x-2y=\frac{1}{2} ------2

we get x=2.5

substitute x in 1

y=1

(x,y)=(2.5,1)

6 0
3 years ago
On hot, sunny, summer days, Jane rents inner tubes by the river that runs through her town. Based on her past experience, she ha
Sveta_85 [38]

Answer:

a. P(X=50)= 0.36

b. P(X≤75) =  0.9

c. P(X>50)=  0.48

d. P(X<100) = 0.9

Step-by-step explanation:

The given data is

x                      25        50       75        100          Total

P(x)                0.16       0.36    0.38    0.10          1.00

Where X is the variable and P(X) = probabililty of that variable.

From the above

a. P(X=50)= 0.36

We add the probabilities of the variable below and equal to 75

b. P(X≤75) = 0.16+ 0.36+ 0.38= 0.9

We find the probability of the variable greater than 50 and add it.

c. P(X>50)= 0.38+0.10=  0.48

It can be calculated in two ways. One is to subtract the probability of 100 from total probability of 1. And the other is to add the probabilities of all the variables less than 100 . Both would give the same answer.

d. P(X<100)= 1- P(X=100)= 1-0.1= 0.9

8 0
3 years ago
Math help please and don’t look at the top right whatever you do!
Serggg [28]

Answer:

87.88 ft

Step-by-step explanation:

Base x height divided by 2

16.9 ft x 10.4 ft divided by 2 = 87.88 ft

hope this helps:)

8 0
2 years ago
Find the mean absolute deviation for the data set.<br> 5,6,6,8,10
alukav5142 [94]

Answer: 1.6

<u>Order the numbers</u>

5,6,6,8,10

<u>Add</u>

5+6+6+8+10=35

<u>Divide</u>

35÷5=7

Mean: 7

Sum divided by the count.

Final Answer: 1.6

6 0
3 years ago
Read 2 more answers
HELPPPPPPPPPPPPPPPPPPPPPPPPPP
ss7ja [257]

Answer:

Step-by-step explanation:

+(+) Two like signs become a positive sign 3+(+2) = 3 + 2 = 5

−(−) 6−(−3) = 6 + 3 = 9

+(−) Two unlike signs become a negative sign 7+(−2) = 7 − 2 = 5

−(+) 8−(+2) = 8 − 2 = 6

7 0
3 years ago
Other questions:
  • If each dimension of the rectangular prism is doubled, how will its total surface area change?
    10·2 answers
  • Is 2i a real or complex root?
    12·1 answer
  • Which of the following equations represents a line that passes through the points
    5·1 answer
  • Make each expression a true statement
    14·1 answer
  • Plz help this is due today NO LINKS OR GROSS PICTURES OR I Will REPORT And please show work
    10·1 answer
  • Which expression is equivalent to -3x(x-4)-2x(x+3)?
    11·2 answers
  • What is 1 × 10 − 3 written in standard form? math
    12·1 answer
  • Identify the variable and the constant in the expression below. n + 3 variable: ___________________________ constant: __________
    15·1 answer
  • NO LINKS!!!
    6·1 answer
  • Table of value for y=2x^2+x
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!