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
Nutka1998 [239]
3 years ago
9

A ball is thrown into the air with an upward velocity of 48 ft/s. Its height h in feet after t seconds is given by the function

h = -16t^2 + 48t + 6. How long does it take the ball to reach its maximum height? What is the ball's maximum height?
Mathematics
1 answer:
Mila [183]3 years ago
6 0
So you have to find the velocity (or first derivative) from the position function of h=-16t^2+48t+6

the velocity is -32t+48 which you then have to set equal to 0 in order to find t
-32t+48=0
-32t=-48
t=1.5

you then take your t value and sub it back into your original position function
-16(1.5)^2+48(1.5)+6 which will give you a maximum height of 42 feet

so the time it takes is 1.5 seconds to reach a maximum height of 42 feet
You might be interested in
Yesterday, 20 employees in an office were absent. If these absentees constitute
Oduvanchick [21]
The total number of employees are 80. I know that because 25 is quarter of 100 and if 20 employees are 25%, all I need to do is 20*4 which is 80. Hope this helped!
3 0
3 years ago
I'm having g a hard time with this, anyone please care to solve it for me? I would highly appreciate it.​
Damm [24]

Answer:

43 46 34 98 78 67

Step-by-step explanation:

8 0
3 years ago
2a - 3b = -11<br> a + 3b = 8
dlinn [17]

Answer:

b = 3 and a = -1

Step-by-step explanation:

You have your given equation:

2a - 3b = -11

a + 3b = 8

You need to find what a and b is.

To find b:

2a - 3b = -11

-2a - 6b = -16

I multiplied a + 3b = 8 by -2. When you multiply a number you have to multiply all of them. You have to choose a number that would cancel out all of a.

So now your equation would look like this when you solve for b:

2a - 3b = -11

-2a - 6b = -16

-------------------

a - 9 = -27 then you divide -9 to -27 which is 3 so b = 3.

To find a:

2a - 3b = -11

a + 3b = 8

I multiplied a + 3b = 8 by -1 and 2a - 3b = -11 by -1 as well.

Your equation will look like this when you solve for a:

-2a + 3b = 11

-1a - 3b = -8

------------------

-3a = 3 then divide -3 to 3 which is -1 so a = -1.

Check to see if you have the correct answer by plugging in the number you got for a and b into the equation and solve.

1. 2(-1) -3(3) = -11

 -2 - 9 = -11

2. -1 + 3(3) = 8

   -1 + 9 = 8

8 0
3 years ago
rebekah's baby brother weighs 7.71 pounds.How much will her baby brother weigh if he gains 1.3 pounds each week for two weeks?
NemiM [27]

Answer:

10.31 pounds

Step-by-step explanation:

First, we multiply 1.3 x 2 because he is gaining 1.3 for the next TWO weeks.

1.3 x 2 = 2.6

Now, add 7.71 + 2.6 because that is the weight he started with.

7.71 + 2.6 = 10.31‬

Her brother will weight 10.31 pounds if he is 7.71 lbs and continues to gain 1.3 pounds each week for two weeks.

8 0
3 years ago
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 70 p
nikklg [1K]
X = large boxes and y = small boxes

x + y = 70.....x = 70 - y
60x + 65y = 4300

60(70 - y) + 65y = 4300
4200 - 60y + 65y = 4300
5y = 4300 - 4200
5y = 100
y = 100/5
y = 20 <=== the small boxes weigh 20 lbs

x + y = 70
x + 20 = 70
x = 70 - 20
x = 50 <== and the large boxes weigh 50 lbs
5 0
3 years ago
Other questions:
  • A teacher let her students grade their math quizzes. •Jon wrote 13 out of 18 •Jim wrote .7 (repeated .7) •Joe reduced his to 5/6
    5·2 answers
  • Someone please helppp.!
    8·2 answers
  • Find the difference:<br> (3x2 + 4x - 6) - (5x2 - 8x - 3)
    10·1 answer
  • The taxi ride costs 18.00 (mop). Now convert this to US Dollars. Here's the convertion fact: 1 US Dollar=7.98 MOP.
    6·1 answer
  • The axis of symmetry is located at x=<br>A.<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B6%7D%20" id="TexFormula1" t
    15·1 answer
  • PLEASE HELP!!<br><br> Write an equation for the <br> line on the graph below:
    15·2 answers
  • 3x^2+7xy- 6y^2, factorize ​
    6·1 answer
  • How many quarts of pure antifreeze must be added to 8 quarts of a 10% antifreeze solution to obtain a 60% antifreeze solution
    7·1 answer
  • How do I solve part c
    12·1 answer
  • Natalie was out at a restaurant for dinner when the bill came. Her dinner came to $29. After adding in a tip, before tax, she pa
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!