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
egoroff_w [7]
3 years ago
8

A stone is launched vertically upward from a cliff 192 ft above the ground at a speed of 16 ft/s. Its height above the ground t

seconds after the launch is given by s = -16t² + 16t + 192 for 0≤t≤4. When does the stone reach its maximum​ height?
Mathematics
1 answer:
Nana76 [90]3 years ago
3 0

Answer:

0.5 sec

Step-by-step explanation:

s(t) = -16t² + 16t + 192

Lets differentiate the equation first w.r.t 't', we will have:

s'(t)=-32t + 16

In order to find critical points, equating s'(t) to zero, and determine values where s'(t) is undefined

Therefore, s'(t)=0

-32t + 16= 0     (solving for t)

-32t = -16

t= 16/32

t= 0.5s

Now, we will evaluate 's' at endpoints and critical points.

->s(0)= -16(0)² + 16(0) + 192

s(0)= 192

->s(0.5)= -16(0.5)² + 16(0.5) + 192

s(0.5)= 196

->s(4)= -16(4)² + 16(4) + 192

s(4)= 0

Thus, s(0.5)= 196 is the largest function from above i.e the absolute max. value of s on [0,4]

the stone reach its maximum​ height i.e 196 ft at 0.5sec

You might be interested in
Can you help me with this math problem? <br><br> (x+ 2) ^ 2 <br> (squared) <br><br> thankyou
Alex787 [66]
Answer: x^2 + 4x + 4

Explanation:
just expand, factor out, and add together.

(x+2)(x+2)

x • x = x^2
2x + 2x = 4x
2 • 2 = 4

x^2 + 4x + 4
8 0
3 years ago
the table shows the name of each volunteer and the height of the baby elephant each volunteer measured. which volunteer measured
daser333 [38]
So in order to compare, the measurements have to same units.  So lets convert everything to feet. 

George  2 yds = 6 ft            Kelsey  68 inches = 5 ft 8"

Mariah  5 feet                       Brian  5 ft 10 "

George measured the tallest at 6'   

Hope this helped.

4 0
2 years ago
Which mathematical sentence is represented by the diagram
ElenaW [278]

Answer:

I will attach a picture, but I need you to attach a screenshot so I can solve it.

Step-by-step explanation:

But here:

7 0
2 years ago
A museum curator is hanging 7 paintings in a row for an exhibit. There are 4 Renaissance paintings and 3 Baroque paintings. From
Marina CMI [18]

Answer:

144 ways

Step-by-step explanation:

Number of paintings = 7

Renaissance = 4

Baroque = 3

We are hanging from left to right and we will first hang Renaissance painting before baroque painting.

For Renaissance we have 4! Ways of doing so. 4 x3x2x1 = 24

For baroque we have 3! Ways of doing so. 3x2x1 = 6

We have 4!ways x 3!ways

= (4x3x2x1) * (3x2x1) ways

= 144 ways

Therefore we have 144 ways to hang the painting.

6 0
3 years ago
How can the distributive property be used to find 4x875?draw an array.
ICE Princess25 [194]
Break apart the 875.
8 becomes 800 the 7 becomes 70 and 5 is just 5. Now x it by the 4
800x4=3200
70x4=. 280
5x4=. 20
-------
3500
Not sure how to show the array on here
6 0
2 years ago
Other questions:
  • If there are 52 ounces of cereal in 2 boxes, how man ounces are there in the box?
    7·2 answers
  • Please help, and please give me an explanation.
    14·1 answer
  • How to graph 3/8 of a fraction on a number line
    15·1 answer
  • The x-coordinate of the point that contains the ___?___ is always 0.
    5·1 answer
  • Help please thank you !!!
    12·1 answer
  • 31 pizzas between 8 teams. How many pizzas does each team get?
    15·2 answers
  • 2 1/4 w =6 3/4 yaaaaaaaaaaa
    7·1 answer
  • The width of a rectangle measures (10p + 6) centimeters, and its length
    9·1 answer
  • Determine whether parallelogram PARK is a rectangle, given that P(12,3), A(1,2), R(0,13), K(11,14)
    15·1 answer
  • Find the angle between the lines 2x-3y+5=0 and 2x-3y-7=0​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!