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
poizon [28]
3 years ago
9

I need help on #17 can someone please help me?

Mathematics
1 answer:
sashaice [31]3 years ago
3 0

Answer:

t=2

Step-by-step explanation:

We are given the equation

h = -16t²+36t+1

Next, we are asked to find how long the ball was in the air (the time, in seconds) if Casey caught the ball 9 feet above the ground (9 feet is the height).

Therefore, as 9 is the height, we can plug that into our equation to get

9 = -16t²+36t+1

To make this a quadratic equation that is easy to factor, we can subtract 9 from both sides to get

-16t²+36t-8=0

To factor this, we need to find two values that add up to 36 and multiply to (-16)*(-8) = 128. With a little guess and check, I found the numbers 32 and 4 to work well. We can then make the equation

-16t²+32t+4t-8=0

-16t(t-2) + 4(t-2) = 0

(-16t+4)(t-2) = 0

Therefore, to solve for the equation being 0, or 9 = -16t²+36t+1, either (t-2) or (-16t+4) must equal 0

t-2 = 0

t=2

-16t+4 = 0

-16t = -4

t = 1/4

Therefore, t=1/4 and/or t=2. To figure out which one it is (or both!), we can take into account that the question states "on its way down". This means that the ball goes up and then down, and we want to find t when it is going down. Using the knowledge that a ball that is hit goes up and then down, as well as that -16t²+36t-8=0 is a quadratic equation with 2 solutions, we can say that the higher value of t (t=2) represents when the ball is going down

You might be interested in
Last week 24,000 fans attended a football match. this week three times as many bought tickets, but one-sixth of them cancelled t
lukranit [14]

Answer:

C. 60,000

Step-by-step explanation:

<u>Given</u>

  • 24,000 fans attended a football match
  • three times as many bought tickets
  • one-sixth of them cancelled their tickets

<u>Three times as many bought tickets</u>

24,000 * 3 = 72,000

<u>one-sixth of them cancelled their tickets</u>

72,000 * 1/6 = 12,000

<u>Subtract</u>

72,000 - 12,000 = 60,000

<u>Answer</u>

60,000 people are attending this week

6 0
3 years ago
X+8&gt;18<br><br>Solve the inequality
tigry1 [53]

Answer:

Alright well the Answer to your question is

x > 10 Hope this helps :)

Step-by-step explanation:


7 0
3 years ago
How to find area of a rectangle?
anyanavicka [17]

Formula

Area = L*w


Hint : To find the area of a rectangle , multiply the length times the width


I hope that's help !


4 0
3 years ago
Find the surface area. round to the nearest hundredth when necessary.
Dmitry_Shevchenko [17]

Answer:

The surface area of the cuboid is 648 m^2

Step-by-step explanation:

What we have here is cuboidal in outlook

By using the formula for the surface area of a cuboid, we can get the surface area of the shape

mathematically, we have the surface area of a cuboid as follows;

2(lb + lh + bh)

where l is the length, b is the breadth (width) and h is the height

We can have the length as 9 m, the width as 9 m and the height as 13.5 m

Substituting these values, we have the surface area of the cuboid as;

A = 2(9(9) + 9(13.5) + 9(13.5))

A = 2(81 + 243)

A= 2(324)

A = 648 m^2

8 0
3 years ago
PLEASE HELP!!on a piece of paper graph f(x)=2•(3)^x.Then determine which answer choice matches the graph you drew.
Dahasolnce [82]

Answer:

Graph B

The graph in the attached figure

Step-by-step explanation:

we have

f(x)=2(3)^{x}

This is a exponential function

of the form

f(x)=a(b)^{x}

where

a is the initial value

b is the base

r is the rate

b=1+r

In this problem

a=2 ----> the y-intercept

b=3

so

1+r=3 -----> r=3-1=2 -----> r=200%

so

The y-intercept of the graph is equal to 2

As x increases the value of f(x) increases

therefore

Graph B

4 0
3 years ago
Other questions:
  • The surface area of a triangle pyramid is 1,936mm2. If the dimensions are multiplied by 1/4 what will be the new surface area?
    15·1 answer
  • John deposited $2860 in a bank that pays 9% interest, compounded monthly. Find the amount he will have at the end of 3 years.
    8·1 answer
  • State whether - 4-2 and (-4)-2 represent the same quantity. Explain.
    13·1 answer
  • 3 4 6 9 13 18 24 What is the next number
    15·2 answers
  • The sum of two numbers is 48 and the difference is 10 . What are the numbers?
    10·1 answer
  • 5c+cd when c =1/5 and d=15
    6·2 answers
  • [For Questions 1 &amp; 2]
    14·1 answer
  • Stephanie bought 3 pizzas for a total of $9.00. Which expression shows p, the cost of each pizza?
    12·1 answer
  • What’s the midpoint of the segment with the following endpoints.<br> (-2,1) and (6,-3)
    14·2 answers
  • Denise has a prepaid cell phone. This month she would like to purchase a $9 message package. The rate plan for the talk time is
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!