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
vesna_86 [32]
1 year ago
11

A timer is started and a few moments later a model airplane is launched from the ground. Its height (in feet) as a function of t

ime (in seconds after the timer was started) is given by the equation h(t)=−(t−12)2+81
. Which of the following statements is true?

The airplane reaches its minimum height of 12 feet in 81 seconds.
The airplane reaches its maximum height of 81 feet in 12 seconds.
The airplane reaches its minimum height of 81 feet in 12 seconds.

The airplane reaches its maximum height of 12 feet in 81 seconds.
Mathematics
1 answer:
WITCHER [35]1 year ago
7 0

The airplane reaches its maximum height of 81 feet in 12 seconds.

<h3>Behavior of curves</h3>

If y = x^{2}, it means that the second derivate is 2 which is positive, then there is a minimum turning point.

If y = - x^{2}, it means that the second derivative will be -2 which is negative, then there is a maximum turning point.

Analysis:

h(t) = -(t - 12)^{2} + 81

By expanding,

h(t) = -(t^{2} - 24t + 144) +81

h(t) = -t^{2} + 24t - 144 + 81

h(t) = -t^{2} + 24t - 63

at turning point d/dt(h(t)) = 0

d/dt (h(t)) = -2t +24

-2t +24 = 0

if we differentiate again, second derivative is -2 which is negative, so it is a maximum point.

2t = 24

t  = 12 seconds

h(t) at t = 12

h(t) = -(12)^{2} + 24(12) - 63 = 81 feet

In conclusion, the maximum height of the airplane after 12 seconds is 81 feet.

Learn more about minimum and maximum points: brainly.com/question/14993153

#SPJ1

You might be interested in
What does the a small MAD tell you about a set of data
Tamiku [17]

Answer:

Mean absolute deviation is the average of the absolute deviations from the mean. It is a measure of variability, which gives us an idea about the spread of data points from mean. Therefore, the small MAD means the data points are less deviated from mean. And the large MAD means the data points are more deviated from mean.

Hence, smaller the MAD lesser the variation in data.

3 0
3 years ago
The supreme choice pizza at Pete's Pizza contains 2 different meats and 4 different vegetables. The customer can select any one
lara31 [8.8K]

Answer:

80 possible combinations

Step-by-step explanation:

each crust can have a choice of 2 different types of meat and 4 different types of vegetables

if crust1 has four different meat options and two types of meat on each pizza then there are six options possible for the meat on each crust. Now you have 8 veggies and each pizza can have 4 veggies. then there are 56 different veggie combinations.(4+6+56)= 80

6 0
3 years ago
Michael has $15 and wants to buy a combination of school lunches to feed at least three classmates. A sandwich costs $2, and hot
erica [24]

Answer:

he can get 4 hot lunch for him qnd his class mate so he will have $3 more

3 0
2 years ago
13x-9=16<br> plz solve for x
Dafna11 [192]
13x-9=16
+9 +9
13x= 25
---- -----
13x 13x

x=1.92

Add nine to both sides of equation to cancel out the negative nine. Then, divide both sides by 13, which will result in the answer listed above.
4 0
3 years ago
Confused help outttt pleaseeee
larisa [96]

Answer:

the correct answer would be p=nRt/v

Step-by-step explanation:

you would devide both sides by v to get the new equation

4 0
3 years ago
Other questions:
  • Plz help i will mark u brainlyest.
    9·2 answers
  • Using the technique in the model above, find the missing segments in this 30°-60°-90° right triangle.
    13·2 answers
  • Is cube of a number ending in 5 may or may not end in 5. True or false. ​
    15·1 answer
  • I need help..... I don't understand at all
    9·2 answers
  • Sidney cuts 6 slices of bread. She splits them evenly among p plates. Write an expression that shows how many slices are on each
    13·1 answer
  • A credit card company requires that its customers choose a 3 digit, numerical code to access their online account. Each digit sh
    15·1 answer
  • How to divide m96 in the ratio 5:7​
    12·1 answer
  • Seclect all the sets of numbers that are possible values for x in the inequalit, x &gt; - 8. { -10, -8, -6}. { -8, 0, 8}. { -9,
    12·1 answer
  • Hhhhhhhhhhheeeellllpppppp me
    15·2 answers
  • You usually buy the same small bottle of shampoo. There is a larger, 6.7-ounce bottle that says it gives you 25% more free. What
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!