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
kramer
3 years ago
5

During halftime of a soccer ​game, a sling shot launches​ T-shirts at the crowd. A​ T-shirt is launched from a height of 3 feet

with an initial upward velocity of 72 feet per second. The​ T-shirt is caught 36 feet above the field.
a.) How long will it take the​ T-shirt to reach its maximum​ height?
b.) What is the maximum​ height?
c.) What is the range of the function that models the height of the​ T-shirt over​ time?
Mathematics
1 answer:
tigry1 [53]3 years ago
6 0

a. 2.1 Seconds

b. 120.6 Feet

c. 3 \leq y \leq 120

Step-by-step explanation:

The height y at time t is

y = 33 + 64t - 16t^2

The general equation that represents the height as a function of time:

f(t) = At^2 + Bt + C

f(t) = -16t^{2} + 72t + 3

The maximum​ height :

t = 72/33 = 2.1sec

So, f(2.1) = -16(2.1) +72(2.1) +3 = 120.6 Feet

Therefore, 2.1 seconds will it take the​ T-shirt to reach its maximum​ height

Range of the function ,

heights ( y ) = 3 \leq y \leq 120

You might be interested in
A total of 525 records of a hospital were reviewed and 175 of the patients had a heart problem, 150 a respiratory problem, 125 s
Tcecarenko [31]

Answer:

a

Step-by-step explanation:

7 0
3 years ago
100.6 + 296.5 using<br> mental math
ruslelena [56]

Answer:397.1....i think

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
So I’m doing my homework and I don’t know 3 2/3 + 5/4
vivado [14]

Answer:

4 11/12

Step-by-step explanation:

4 x 2/3 = 8/12

3 x 5/4 = 15/ 12

8/12 + 15/12 = 23/12 = 1 11/12 + 3 = 4 11/12

3 0
3 years ago
Find the measure of angle T
sukhopar [10]

Answer:

100 degrees

Step-by-step explanation:

The measure of angle T is 100 degrees.

5 0
3 years ago
Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value.
Nataly [62]

Answer:  $454.55

Step-by-step explanation:

Tito's weekly salary is always $ 500 per week.

But your weekly commission income depends on the sales you make. Your commissions are 55%.

If we call x the dollar amount of all sales made by Tito in a week, then his income z(x) is given by the following equation:

z (x) = 0.55x + 500

We wish that z (x) = 750.

Then we equate the equation to 750 and solve for the variable x.

0.55x + 500 = 750\\\\0.55x + 500-500 = 750-500\\\\0.55x = 250

\frac{0.55}{0.55}x = \frac{250}{0.55}

x = \$\ 454.55

Total sales made by Tito must be $454.55

7 0
3 years ago
Other questions:
  • Which graph represents the solution to the system of inequalities?
    7·2 answers
  • Susie buys 1/2 lb of tomatoes for $1.99, what is the unit rate of the tomatoes?
    6·2 answers
  • I literally just want someone to write a standard form equation for like graphs and stuff, I need to see the difference between
    14·1 answer
  • The length of needles produced by a machine has standard deviation of 0.01 inches. assuming that the distribution is normal, how
    13·1 answer
  • Type the correct factors or zeros in the blanks ​
    7·1 answer
  • Which represents the domain of the relation {(–1, 4), (2, –3), (0, –2), (1, –3)}? {–3, –2, 4} {–3, –2, –1, 0, 1, 2, 4} {–1, 0, 1
    13·1 answer
  • Totally cellular charges $30 for a monthly plan, with an additional .20 per text message. Gnarly Cells charges $40 for a monthly
    10·1 answer
  • 4. Tim's family just got back from a vacation. They had been traveling for 2 days, driving 11
    8·1 answer
  • Guys please help me I have to find the perimeter of the following semicircle​
    11·1 answer
  • What is the factored form of this expression? <br><br> -9x^3-12x^2-4x
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!