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
PilotLPTM [1.2K]
3 years ago
15

17. A bottlenose dolphin jumps out of the water. The path the dolphin Travels can be

Mathematics
1 answer:
Anton [14]3 years ago
4 0

Answer:

a. 5 units

b. 5 units

Step-by-step explanation:

Given:

The path the dolphin Travels can be  modelled by h = -0.2d^2 + 2d where  h represents the height of the dolphin and d  represents horizontal distance.

To find: maximum height that the dolphin reaches and the distance covered by dolphin

Solution:

h = -0.2d^2 + 2d

Differentiate with respect to d

\frac{\mathrm{d} h}{\mathrm{d} d}=-0.4d+2

To find the critical point, put \frac{\mathrm{d} h}{\mathrm{d} d}=0

d=\frac{2}{0.4}\\=\frac{20}{4}\\=5 \,\,units

Differentiate \frac{\mathrm{d} h}{\mathrm{d} d} again with respect to d

\frac{\mathrm{d^2} h}{\mathrm{d} d^2}=-0.4

So, d=5 is a point of maxima

h(5) = -0.2(5)^2 + 2(5)\\=-0.2(25)+10\\=-5+10\\=5\,\,units

a. 5 units

b. 5 units

You might be interested in
Write the equation you would use to find x, then solve for x.
goldfiish [28.3K]

Answer:

x + 6x+10   + x+2 = 180

x = 21

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

x + 6x+10   + x+2 = 180

Combine like terms

8x + 12 = 180

Subtract 12 from each side

8x+12-12 = 180-12

8x =168

Divide each side by 8

8x/8 = 168/8

x =21

6 0
3 years ago
Read 2 more answers
Amy and her three friends love to eat pizza for lunch. Amy's mother bakes
HACTEHA [7]

Amy has a fraction of 2/3

Jill has a fraction of 1/2

Lila has a fraction of 3/6

Ella has a fraction of 3/4

_______________________

Jill and Lila both at the same amount of pizza.

3/6 can simplify to 1/2

5 0
3 years ago
What is the mystery number? The greatest common factor of the mystery pair is 7. The least common multiple of the mystery pair i
xxMikexx [17]
The ANSWER to the mystery question is 50
5 0
3 years ago
Read 2 more answers
5x+2=5x+2 has how many solutions?
tigry1 [53]
It has 1 solution i believe
8 0
3 years ago
And are opposite rays. All of the following are true except ______.
Nezavi [6.7K]

There is not enough question to give i an answer

3 0
3 years ago
Read 2 more answers
Other questions:
  • Please helppp I need help ASAP!
    9·1 answer
  • He has 4 wizard hats, 5 robes, and 6 wands. How many different outfit combinations does he have?
    10·2 answers
  • Please help!!!! largest, and smallest 6 digit number divisible by 2,3,4,5,6,8,9,10
    14·1 answer
  • Define the sequence recursively using function notation.<br> 2.5, 7.5, 22.5, 67.5, 202.5,...
    12·1 answer
  • Help please!!! will make brainiest
    11·1 answer
  • 3. Crystal has decided to drive her new car on the west coast from California to Washington, which is about 930
    9·1 answer
  • 3 Anthony has
    9·1 answer
  • HELP PLZ. ASAP I need an answer.
    12·1 answer
  • Does Brainly help with Geometry?
    13·2 answers
  • Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each eq
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!