If a baseball player hits a baseball from 4 feet off the ground with an initial velocity of 64 feet per second, how long will it take the baseball to hit the ground? Use the equation h = −16t2 + 64t + 4.

Answers

Answer 1
Answer: you need to find the roots of the function, h(t)

then h(t) = 0 = -16t^2 + 64t + 4

divide both sides by -4

4t^2 - 16 t - 1 = 0

use the quadratic function

(-b+/- √(b^2-4ac) )/(2a)

substitue a = 4, b = -16, c = -1

you will get t1 ≈ 0 and t2 ≈ 4

Answer: approx. 4 seconds.
Answer 2
Answer:

Answer: 2 plus or minus the square root of 17 end root over 2


Related Questions

A line passes through point (-2, 5) and has a slope of 2/3. Points A(x, 3) and B(-2, y) lie on the line. the value of x is ___, the value of y is ___.
How do I find the Greatest Common Factor of 14m², 27a³, and 45a²?
Steve is turning half of his backyard into a chicken pen. His backyard is a 24-meter by 45-meter rectangle. He wants to put a chicken wire fence along the west side of the yard, the south side of the yard, and along the diagonal connecting the northwest to the southeast corner of the yard. How many meters of fencing will Steve need to fully enclose this area?
How much sand would it take to fill a sandbox that is 15 feet long, 10 feet wide, and 2 feet high?
Find the student’s error in solving the following inequality.31 < –5x + 6 25 < –5x –5 < x a. The student should have added 6 to both sides instead of subtracting it. b. The student divided 25/–5 incorrectly. c. The student should have switched the direction of the inequality sign to get –5> x for a final answer.

Points R, S, and T are plotted on a number line. The coordinate of point R is –6. Points S and T are the same distance from point R.What could be the coordinates of S and T?

A.
S = 0, T = 6

B.
S = –4, T = –2

C.
S = –9, T = –12

D.
S = –10, T = –2

Answers

D. S=-10, T=-2 is the answer.

While we check all the given options, we will see that no option other then option D gives us the equal value of difference between R and S, and R and T; which doesn't makes the given value of S and T in option(s) A, B and C equidistant from R as given in the question. Thus, it gives us option D as the answer.

Mathematically-

Considering the option D only,
 
 R - S = -6 - (-10) = -6 + 10 = 4
 and, T - R = -2 - (-6) = -2 + 6 = 4
 thus, R - S = T - R

What is the kinetic energy of a 3-kilogram ball that is rolling at 2 meters per seconds?

Answers

E_k=(1)/(2)m.v^2\n \n E_k=(1)/(2).3*20^2\n \n E_k=(1)/(2)*3*400\n \n \boxed{E_k=600 \ J}

CAN AN EXPERT< ACE< MODERATOR OR GENIUS HELPP ME WITT THIS PLSSSSSSSSSSSSSS!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

(x - 2) (x^2 + 3x^2 - 4x -2)

Step-by-step explanation:

What is the solution of the system? Use substitution. 3x + 2y = 7
y = –3x + 11
A.(6, -3)
B.(6, -7)
C.(-4, 19/2)
D.(5, -4)

Answers

Substitution is where you substitute, basically. So, substitute "y" for y.

They have given you y: -3x+11.

They have also given you an equation for you to substitute y into: 3x+2y=7.

Now, you can create the substituted problem.

3x + 2(-3x + 11 ) = 7

Use distributive property.

3x + -6x + 22 = 7

Add like terms.

-3x + 22 = 7

Subtract 22 from 7.

-3x = -15

Divide.

x = 5.

Now, that you have x, plug "5" back into the original equations or at least one of them to find your y.

I will do both to show you.

3(5) + 2y = 7

15 + 2y = 7

2y  = -8

y = -4

You would get -4 with the other equation, too.

y = -3(5) + 11

y = -15 + 11

y = -4

Now, since you have x= 5, y= -4, that would be equivalent to (5, -4) which would be answer choice D.

*side note* because only one of the answer choices started with x being equivalent to y, you wouldn't need to go through finding y as the only possible answer choice could be D. However, it is always good to check and make sure you didn't do anything wrong with x by finding y. Also, I have done y for you not only in my benefit, but to show you what you would do if  D wasn't so obvious when you only find x.

I JUST NEED TO KNOW IF IM SUPPOSED TO SUBTRACT, ADD, MULTIPLY, OR DIVIDEPeople entering Mrs. Dutta's Crazed Carrot Carnival pay 8.58 x 104 dollars per ticket (it's a
very expensive carnival). People entering Mr. Coldoff's more reasonably priced Terrifying
Twirling Tomato Tournament pay 2.2 x 103 dollars per ticket. How many times cheaper is
Mr. Coldoff's Twirling Tomato Tournament?

Answers

Answer:

the answer is multiple ............

Which expression uses the greatest common factor and distributive property to find 10+50?

Answers

ab+ac=a(b+c) where a is the greatest common factor
find greatest common factor of 10 and 50
10=1,2,5,10
50=1,2,5,10,25,50
greatest common is 10
a=10
10(1)+10(5)=10(1+5)=10(6)=60