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
stich3 [128]
2 years ago
15

The function h(t) = -16t2 + 48t + 28 models the height (in feet) of a ball where t is the time (in seconds).

Mathematics
1 answer:
Alex17521 [72]2 years ago
5 0

Answer:

64

Step-by-step explanation:

<em>[using calculus] </em>When the function h(t) reaches its maximum value, its first derivative will be equal to zero (the first derivative represents velocity of the ball, which is instantaneously zero). We have h'(t) = -32t + 48, which equals zero when t = 3/2 = 1.5. The ball therefore reaches its maximum height when t = 1.5. To find the maximum height, we need to find h(1.5), which is 64 feet.

<em>[without calculus] </em>This is a quadratic function, so its maximum value will occur at its vertex. The formula for the x-coordinate of the vertex is -b/2a, so the maximum value occurs when t = -48/(2*16), which is 1.5. The maximum height is h(1.5), which is 64 feet.

You might be interested in
50 points! Please help me
Inga [223]

Answer:

x = 8

y = 14

Step-by-step explanation:

2x + 6 = 4x - 10 (Corresponding angles so they're equal)

2x - 4x = -10 - 6

-2x = -16

x = 8

2x + 6 + 13y - 24 = 180 (Supplementary angles so they add up to 180)

2(8) + 6 + 13y - 24 = 180

16 + 6 + 13y - 24 = 180

13y - 2 = 180

13y = 182

y = 14

6 0
2 years ago
In a class of c children there are 16 boys what fraction of the class are boys ​
ZanzabumX [31]

Answer:

Step-by-step explanation:

c/16

8 0
2 years ago
What is an equation of the line that passes through the point (-6, -1) and is perpendicular to the line 6x-y= 7?
yuradex [85]

Answer: y=- 1/6x-2

Step-by-step explanation:

7 0
3 years ago
Write the expression (2−3i)+5i(1−3i)<br> as a complex number in standard form.
Katarina [22]

Answer:

17 + 2i

Step-by-step explanation:

Given

(2 - 3i) + 5i(1 - 3i) ← distribute both parenthesis

= 2 - 3i + 5i - 15i²  [ i² = - 1 ]

= 2 + 2i + 15

= 17 + 2i ← in standard form

5 0
2 years ago
What fractions are the common denominators for 1/2 and 7/8
Orlov [11]

Answer:

lowest:8 more:16 32 64

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • The ratio of men to women in certain factory is 3 to 4 there are 216 men how many workers are ther
    11·1 answer
  • Break apart the addends to find the sum 33+49
    13·1 answer
  • Pls help???????? need to have an explanation also
    5·1 answer
  • 2.043928 as a fraction
    15·2 answers
  • Each half of the drawbridge is about 284 feet long. How high does the drawbridge rise when x is 30?? The drawbridge rises about
    15·1 answer
  • the slope of a line passing through h (-2, 5) is -3/4. Which ordered pair represents a point on this line? ​
    15·1 answer
  • a magazine contains fourteen pages. You open to a random page, the page number is three or seven..... where do i start i need to
    13·2 answers
  • Please help 10 points :)
    11·1 answer
  • I need help with this ASAP I will mark brainlest. The question is in the picture below
    7·2 answers
  • Solve the equation: 3y + 20 = 3 + 2y
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!