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
Greeley [361]
3 years ago
8

The function h(t) = −16t2 + 24t models the height, in feet, of a kangaroo t seconds after it jumps. What is the maximum height o

f the jump?
Mathematics
1 answer:
ch4aika [34]3 years ago
6 0
<h2>9 ft</h2>

Step-by-step explanation:

       The height of kangaroo after it jumps is represented by the function h(t)=24t-16t^{2}, where t is in seconds, height is in feet.

       To find the maximum height that the kangaroo jumps, we need to maximise h(t).

       The minimum/maximum value of a quadratic expression ax^{2}+bx+c is given by \dfrac{4ac-b^{2}}{4a}.

       As the coeffecient of quadratic term is negative, the function has a maxima.

       Maximum value = \dfrac{4(-16)(0)-(24)^{2}}{4(-16)}=\dfrac{-576}{-64}=9.

∴ Maximum height = 9 ft

You might be interested in
Tommy buys a football for $20 plus 8% tax John buys a helmet for $25 plus 8% tax what is the difference in the amount Tommy and
max2010maxim [7]

Answer:

$5.40

Step-by-step explanation:

First, figure out the cost of the items with tax; for Tommy we have 20*0.08 = 1.6, add that 1.6 to the 20 and his purchase is $21.6, for John we have 25*0.08 = 2, add 2 to his 25 and his purchase is $27. To find the difference we subtract 27-21.6 = 5.4 or $5.40

3 0
3 years ago
Solving systems of equations by substitution<br> Y=6x y=5x+7
soldi70 [24.7K]
Y=6x (1)
y=5x-7 (2)

Substitute y into (2)
(6x)=5x-7 -- subtract 5x from both sides
x=-7

Sub x into 1
y=6(-7)
y=-42

x=-7
y=-42

8 0
3 years ago
Read 2 more answers
Como podríamos saber cuantos camellos le corresponden a cada hermano en realidad
SCORPION-xisa [38]

Answer:

Eldest brother = 18 camels

2nd brother = 12 camels

Youngest brother = 4 camels

Step-by-step explanation:

Question posted:

How could we know how many camels actually correspond to each brother?

It is from "the man who calculated":

The question is incomplete without the background information.

Based on the question, It has to do with sharing an inheritance of 35 camels among 3 brothers.

"The man who calculated", by Malba Tahan.

Since the complete question isn't available, we are going to look at the following question to understand how to do the calculation.

Question:

How can an inheritance of 35 camels be divided among three brothers in such a way that the eldest brother gets half of them, the second one gets 1/3 of the total and the youngest brother gets 1/9 of the total camels?

Solution:

Total number of camels= 35

Eldest brother gets half: 1/2 of 35 gives a fraction and not an whole number

2nd brother = 1/3 of 35 (gives a fraction)

3rd brother = 1/9 of 35 (gives a fraction)

Since we can't have a camel in fraction except in whole number, we would look for the closest number to 35 that would be divided by 2, 3 and 9 respectively without giving a fraction.

Number 36 is the closest number to 35 that satisfies this condition.

1st brother = 1/2 × 36 = 18 camels

2nd brother = 1/3 × 36 = 12 camels

3rd brother = 1/9 × 36 = 4 camels

Now let's add the camels the 3 brother got together = 18 + 12 + 4 = 34 camels

Total camels - amount shared = 35 -34 = 1

Meaning one camel is remaining. The distributor would keep the remaining one as that's the way such distributions could be achieved.

8 0
3 years ago
Find the general solution: y''-2y'-3y=-3te^(-t)
allsm [11]
The answer i got was -3te with -t as an exponent 
5 0
3 years ago
The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $540 per person per day if exactly 20 people s
lora16 [44]

Answer:

Step-by-step explanation:

Charges up to 20 passengers = $540 per person per day

Total charges = 540 × 20 = $10800

If x passengers above 20 sign up for the cruise then total number of passengers = (20 + x)

Total revenue = $(20+x)

But each fare is reduced by $7 for additional passenger above 20 then revenue generated R(x) = 540(20+x) - 7x

R(x) = 10800 + 540x - 7x

R(x) = 10800 + 533x

a). Revenue per day realized R = 10800 + 533x

b). R(48) = 10800 + 48×533

              = $36,384

C). R(78) = 10800 + 78×543

              = $53,154

5 0
3 years ago
Other questions:
  • Which equation shows an example of the associative property of addition? (–7 + i) + 7i = –7 + (i + 7i) (–7 + i) + 7i = 7i + (–7i
    14·2 answers
  • Sammy has a counter that is red on one side and green on the other. The counter is shown below: A circular counter is shown. The
    8·1 answer
  • Simplify (−34.67)^0<br><br> I got stuck on this question can someone answer quickly
    7·2 answers
  • PLEASE PLEASE PLEASE HELP PLEAS :( THE SECOND ONE JEJEJEJDD PLEASEEEEEE
    12·2 answers
  • Solving a system of equation <br> x+5y=15 <br> -3x+2y=6
    9·1 answer
  • Someone pls help this is an emergency
    14·2 answers
  • I neeed your help pleaseeeeeeeeeeeeee
    8·1 answer
  • FACTORIZE<br>A(X)=(x+2)^2(-x+2)(2x-1)​
    9·1 answer
  • Find m1 and m2 . Tell which theorem can be used.<br><br> m1 =<br> by the…<br> m2 =<br> by the…
    11·1 answer
  • Find the size of the angle marked a and b on the diagram
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!