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
notsponge [240]
3 years ago
12

A baseball player throws a 95mph fastball straight up into the air. The position equation, which gives the height of the ball at

any time t, in seconds, is given by: s(t)=-16t^2+140t+37 a.) find the maximum height of the ball. b.) Find the time and velocity when the ball hits the ground.
I would really appreciate it if someone explained to me how to solve this!
Mathematics
1 answer:
Lana71 [14]3 years ago
3 0
Set s(t) = 0 which means it hits the ground.  The formula doesn't fit the parameters given as it shows that the pitcher is standing on something 37 feet high.
<span>s(t)=-16t^2+140t+37 and has an initial velocity of 140.
Graphing or solving this, t= 9 seconds when it hits the ground.
The velocity V(t) is the derivative of s(t)
V(t) = -32t+140
V(9) = -148 ft/second which is going down
</span>
You might be interested in
Which is the graph of f(x) = square root 4x
Step2247 [10]

The graph of f(x) = sqrt( 4x) looks like this. So choose the one that looks like the image attached.

4 0
3 years ago
Find the area of a regular octagon with a perimeter of 80 ft and an apothem of 12.07 feet
Finger [1]

Answer:

The area of a regular octagon with a perimeter of 80 ft and an apothem of 12.07 feet is 482.8 ft².

Step-by-step explanation:

An octagon is a polygon with eight sides. An octagon is regular (also called a regular octagon) is a polygon with all eight sides equal.

The apothem of a regular octagon is the shortest distance between the center and any of its sides, in other words, it is the distance that separates the center of the polygon from the central point of each side of the octagon.

The area is calculated using the following formula:

Area=\frac{n*L*Ap}{2}

Where:

  • n is the number of sides.
  • L is the length of one of the sides.
  • Ap is the value of the apothem.

Being n = 8 being an octagon and the perimeter P the sum of the sides of the octagon (P = 8 * L), the area of ​​the regular octagon can be calculated by:

Area=\frac{P*Ap}{2}

In this case:

  • P=80 ft
  • Ap=12.07 ft

Replacing:

Area=\frac{80ft*12.07ft}{2}

Solving:

Area=482.8 ft²

<u><em>The area of a regular octagon with a perimeter of 80 ft and an apothem of 12.07 feet is 482.8 ft².</em></u>

3 0
4 years ago
What is m∠M ? Brainliest to correct answer &lt;3
nika2105 [10]

Sum of interior angles of triangle = 180

x + x + 6 + 3x - 16 = 180

5x - 10 = 180

5x = 190

x = 38

<M = 3(38) - 16

<M = 114 - 16

<M = 98°

5 0
3 years ago
This is the value of a variable for an entire population. It usually cannot be found directly.
Paul [167]
<span>This is the value of a variable for an entire population. It usually cannot be found directly:  the population mean.  We can approx. the population mean, or specify an interval in which it is likely to lie, but we generally cannot find the value of the pop mean.</span>
5 0
3 years ago
Read 2 more answers
Pls help I’m being timed
rjkz [21]

Answer:

B. M-prime (4,-3)

Step-by-step explanation:

When rotated clockwise, point (h,k) is changed to point (k,-h).

5 0
3 years ago
Read 2 more answers
Other questions:
  • Which are equivalent to 3^2 x 3^4? check all that apply.
    13·1 answer
  • Example for empirical probability
    12·1 answer
  • In what 3 forms can probability be written?
    5·1 answer
  • Emily measures a prize wheel at a carnival and calculates that it has an area of 3.14 square feet. What is the prize wheel's cir
    14·1 answer
  • What are the roots of the polynomial equation?
    15·1 answer
  • Find the perimeter of the rectangle whose vertices are the points with coordinates (0,0), (2,0), (0,5), and (2,5).
    13·1 answer
  • Analyze the diagram below and answer the question that follows.
    9·1 answer
  • Convert 58 to a percent.<br><br> Do not include the "%" sign in your answer.
    11·2 answers
  • A. Factor the polynomial: x^5-4x^3+8x^2-32<br> b. Solve by factoring: 2x^2-3x+1=0
    6·1 answer
  • Please help me find the area of the shape
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!