Physics students drop a ball from the top of a 100 foot high building and model its height as a function time with the equation h(t) = 100 - 16t^2. Determine, to the nearest tenth of a second, when the ball hits the ground.
Answers
When the ball hits the ground, the height is 0.
0 = 100 - 16t²
0 = (10 - 4t)(10 + 4t)
0 = 10 - 4t or 0 = 10 + 4t
4t = 10 or -4t = 10
t = or t =
Time cannot be negative (unless you have a time machine) so disregard
Answer: t = = 2.5 seconds
Related Questions
Until a train is a safe distance from the station it must travel at 5 m/s. Once the train is on open track it can speed up to 45 m/s. If it takes a train 8 seconds to reach 45 m/s, what is the acceleration of the train? (Round your answer to the nearest whole number.)A) 4 m/s2 B) 5 m/s2 C) 6 m/s2 D) 7 m/s2
Бn - 7+ 4n = 23Help me solve this problem
A railroad crew can lay 5 miles of track each day. They need to lay 135 miles of track.The length, L (in miles), that is left to lay after d days is given by the following function L(d) = 135 - 5d how many miles of track does the crew have left to lay after 17 days?
What is the value of 5c + 2, if c = 6
B. (-5, -4, -5, -1)
C. (3, -2, 5, -1)
D. (-3, 2, -5, 1)
Answers
to get your answer, get all the x - values
i.e
(3, -2, 5, -1)
So, You're correct option is C.
Answers
Answer:
To find the number of D's in the school, we can use the given ratio of D's to A's and the number of A's provided.
The ratio of D's to A's is given as 4 to 72. This means that for every 4 D's, there are 72 A's.
We are also given that there are 1080 A's in the school this term.
To find the number of D's, we can set up a proportion using the ratio:
4 D's / 72 A's = X D's / 1080 A's
Cross-multiplying, we get:
4 * 1080 = 72 * X
Simplifying further:
4320 = 72X
Dividing both sides by 72:
X = 4320 / 72
X = 60
Therefore, there were 60 D's in the school.
Step-by-step explanation:
Answers
Final answer:
You can find the number of part-time employees by multiplying the total employees by the fraction of part-time workers. In this case, that results in 36 part-time employees.
Explanation:
To determine the number of employees who work part-time, we need to multiply the total number of employees (which is 288) by the fraction representing part-time workers (1/8).
So, 288 * 1/8 = 36. Therefore, there are 36 employees who work part-time in your office.
Learn more about Fraction Multiplication here:
#SPJ11
Answers
xy = x*(x+6) = x^2 + 6x
x^2+6x-520 = 0
=> x = {-26, 20}
When x = -26, y = -20
x = 20, y = 26
Answer:
it was the answer the above comment
Step-by-step explanation:
Which expressions represent a change in height of 5 ft?
Choose exactly two answers that are correct.
A. h/5
B. 5*h
C. h+5
D. h-5
I have more questions do if you are willing to help with more than this than let me know.
Answers
h+5 and h-5
B. 23
C. 22
D. 21
Answers
The approximate length of a side of the square field is 22 feet.
Given,
A square field has an area of 479 ft².
We need to find out what is the approximate length of a side of the field.
Give your answer to the nearest foot.
What is the area of a square?
It is given as :
Area = side²
Find the length of a side of a square.
Side = length of a side
Area = side²
We have,
Area = 479 ft²
479 = side²
Side = √479
Side = 21.886
Rounding to the nearest foot.
Side = 21.886 feet
0.886 can be round to 1 foot.
So,
Side = 22 feet.
Thus the approximate length of a side of the square field is 22 feet.
Learn more about finding the side of a square with its perimeter given here:
#SPJ2
So all we really need to do for this one is
area=LW, L=W in squaer so 479=L^2, squaer root both sides, L=W=21.88=22 rounded
so it is C