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
taurus [48]
2 years ago
14

A competitive diver dives from a 33-foot high diving board. The height of the diver in feet after 't' seconds is given by u(t) =

−16t^2 + 4t + 33. At the moment the diver begins her dive, another diver begins climbing the diving board ladder at a rate of 2 feet per second. At what height above the pool deck do the two divers pass each other? Please answer it quickly, it's for my homework.
Mathematics
1 answer:
ludmilkaskok [199]2 years ago
7 0

Answer:

t  = 0.375s

Step-by-step explanation:

Given

h(t) = -16t^2 + 4t + 33 --- driver 1

Rate = 2ft/s -- driver 2

height = 33ft

Required

The time they passed each other

First, we determine the function of driver 2.

We have that:

Rate = 2ft/s and height = 33ft

So, the function is:

h_2(t) = Height - Rate * t

h_2(t) = 33 - 2t

The time they drive pass each other is calculated as:

h(t) = h_2(t)

-16t^2 + 4t + 33= 33 - 2t

Collect like terms

-16t^2 + 4t + 2t= 33 - 33

-16t^2 + 6t= 0

Divide through by 2t

-8t + 3= 0

Solve for -8t

-8t  = -3

Solve for t

t  = \frac{-3}{-8}

t  = 0.375s

You might be interested in
5. A hat contains 13 tickets with numbers 1 to 13 on them. If two tickets are drawn from the hat
Brilliant_brown [7]

Answer:

3.5

Step-by-step explanation:

the original probability is 7/6 favoring odd

4 0
2 years ago
5milimeter7centimeter+1milimiter=
Marrrta [24]
7milimeters7centumeters
8 0
3 years ago
Find the area (in square feet) of a rectangle that measures 17" × 3'10".
Kitty [74]

Answer:

65 feet and 2 inches

Step-by-step explanation:

to find the area of a rectangle you need to multiply length times width in this case 17" times 3'10". But first you must convert everything into the same form(in this case feet) so first you can convert everything to inches by multiplying 3 times 12  which gives you 36 then add the 10, so it is now 46 inches then multiply that by 17 and altogether it is 782 inches, then divide by 12 (to convert it back to feet) and the answer is 65.1666666667. After you can round and get 65 feet and 2 inches.

6 0
2 years ago
Car leases generally allow only a certain number of miles to be driven. Myung’s lease included a charge of 25 cents per mile for
faust18 [17]

Answer:

36,000

Step-by-step explanation:

if you multiply 12,000 and 3 you get 36,000.

4 0
3 years ago
What is the exact length of each line segment
ElenaW [278]

Answer:

22

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Fiona divided 3x2 5x – 3 by 3x 2. the expression represents the remainder over the divisor.what is the value of a?
    13·1 answer
  • What are the domain and range of the function below?
    15·2 answers
  • Which of the following is the best buy? a 16 oz bag of rice for $2.42 a 12 oz box of rice for $1.93 a 6 oz box of rice for 90¢ a
    14·2 answers
  • Which of the following equations could be used to solve the problem?
    15·1 answer
  • 486x<br><img src="https://tex.z-dn.net/?f=486x" id="TexFormula1" title="486x" alt="486x" align="absmiddle" class="latex-formula"
    6·1 answer
  • If RS=ST then point S is called the midpoint of RT
    10·1 answer
  • Convert 8.4 feet per minute to yards per minute.
    12·1 answer
  • To get ready for the new school year, Mrs. James took her two children shopping. Jim selected a coat that cost
    8·2 answers
  • Al Schneider earns $560 a week plus $21 an hour for overtime. Write an equation in slope-intercept form to describe a week's pay
    13·1 answer
  • What does it mean to have diagonals bisect each other?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!