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
Nookie1986 [14]
3 years ago
11

Jake tosses a coin up in the air and lets it fall on the ground. The equation that

Mathematics
1 answer:
Phoenix [80]3 years ago
7 0

Answer:

t = 1.71825

Step-by-step explanation:

Given

h(t) = -16t^2 + 24t + 6

Required

When will the coin hit the ground

When the coin hits the ground, h(t) = 0

The expression h(t) = -16t^2 + 24t + 6 becomes

0 = -16t^2 + 24t + 6

Multiply through by -1

16t^2 - 24t - 6 = 0

Solve using quadratic formula

t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}

Where

a = 16

b = -24

c = -6

t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}

t = \frac{-(-24)\±\sqrt{(-24)^2 - 4 *16 * -6}}{2 * 16}

t = \frac{24\±\sqrt{576 +384}}{32}

t = \frac{24\±\sqrt{960}}{32}

t = \frac{24\±30.984}{32}

Split

t = \frac{24+30.984}{32} or t = \frac{24-30.984}{32}

t = \frac{54.984}{32} or t = \frac{-6.984}{32}

t = 1.71825 or t = -0.21825

But time can't be negative;

So:

<em>Time to hit the ground is 1.71825 seconds</em>

You might be interested in
The variable y is directly proportional to the variable x. If y = 12 when x = 14, what is the value of x when y = 24?
svp [43]

Answer:

28

Step-by-step explanation:

8 0
3 years ago
A washer and dryer cost 1003 combined the washer cost 53 more than dryer what’s the cost of dryer
NeX [460]

Answer:

475

Step-by-step explanation:

Let's call the dryer price is x

Then, the price for the washer is 53 more than the dryer, it would be: x+53

Total price of washer and dryer = 1003

We get the equation:

x+(x+53) = 1003

2x + 53 = 1003

2x + 53 - 53 = 1003 - 53

2x = 950

x = 475

The dryer price is 475

Extra: you can find the cost of the washer by using x+53 = 475+53 = 528

4 0
3 years ago
syliva weighed 8 pounds when she was born by her first birthday her weight had tripled by her second birthday she had gained 12
barxatty [35]
I'm pretttty sure it's 216
3 0
3 years ago
Lauren says that -3.5 is greater than -3 1/3. Do you agree? Explain.
kirza4 [7]

Answer:

-3\frac{1}{2}

Step-by-step explanation:

-3.5 means -(3 + \frac{1}{2})

In other words, -3.5 = -3\frac{1}{2}

When we draw two numbers -3\frac{1}{3} and -3\frac{1}{2} on a number line, -3\frac{1}{2} comes first from left to right.

We know that all the numbers on a number line from left to right are in increasing order.

Therefore, -3\frac{1}{2} is smaller than -3\frac{1}{3}.

-3\frac{1}{2}

Lauren is not correct.

3 0
2 years ago
What two facts can you double to find 8x4? explain
almond37 [142]
2x4 + 2x2 = 32 because 2x4 equals 8 and then if you do 2x2 it equals 4.
multiply the two answers and get the answer to 8x4 which is 32.
6 0
3 years ago
Other questions:
  • Keiko estimated the height of her office building to be 45 ft. The actual height of her office building is 42 ft
    5·1 answer
  • Add.<br><br><br><br> Express your answer in simplest form<br><br><br> 7+1 7/4<br><br> 10+4 1/4
    8·1 answer
  • Add −1310+25−1310+25 using the number line. Select the location on the number line to plot the sum
    15·2 answers
  • Identify the row and column represented by a64.
    6·1 answer
  • Jas has 145 dollars in her savings account she earns 36 dollars a week mowing lawns if jas saves all of her money after how many
    7·1 answer
  • Rylee shopped at a clothing store where she spent $36.50 plus 8% tax
    6·1 answer
  • Find the distance between ( 1, 3) and (5, 6)
    15·1 answer
  • 5. Li feeds her dog 3 cups of food each day.
    15·2 answers
  • What is the answer of this question
    6·1 answer
  • The question in the picture below.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!