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
amid [387]
2 years ago
7

A diving board is 10 feet above the surface of the water. At time t = 0, the board propels Chris upward at a rate of 12 feet per

second and he enters the water feet first. The equation h = –16t^2 + 12t + 10 can be used to find Chris's height after t seconds. How long will it take Chris to return to his starting height of 10 feet?
Mathematics
1 answer:
Art [367]2 years ago
5 0

Answer:

Chris will take 0.75 seconds to return to his starting height of 10 feet.

Step-by-step explanation:

Let the height of Chris be represented by h(t) = -16\cdot t^{2}+12\cdot t +10, where h(t) is the height in feet and t, the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:

-16\cdot t^{2}+12\cdot t +10 = 10

-16\cdot t^{2}+12\cdot t = 0

Then, we simplify the expression by algebraic means:

-16\cdot t\cdot \left(t-\frac{3}{4} \right) = 0

Roots of the polynomial are, respectively:

t = 0\,s\,\lor \,t = 0.75\,s

First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.

You might be interested in
Y = X - 4<br> Linear<br> Nonlinear
KengaRu [80]

Answer:

Linear

Step-by-step explanation:

There is a constant rate of change ( 1 ), and there is a y-intercept.

8 0
3 years ago
Evaluate the expression. 5 x (-6 / -1 + -10)
Bond [772]

Answer:

-20

Step-by-step explanation:

<u>PEMDAS</u>

<u>P</u>arentheses -> <u>E</u>xponents -> <u>M</u>ultiplication -> <u>D</u>ivision -> <u>A</u>ddition -> <u>S</u>ubtraction

1.) First, we can rewrite this equation to make it easier to understand

5 x (-6 / -1 + - 10)

5(-6 / -1 - 10)

2.) Begin by dividing inside the parentheses

5(-6 / -1 - 10)

5(6 - 10)

3.) Solve

5(6 - 10)

5(-4)

-20

or

5(6 - 10)

5(6) 5(-10)

30 - 50

-20

Therefore, the expression equals -20.

8 0
2 years ago
IF I DOG WALK AND FOR EACH DOG I MAKE $15 HOW MANEY DOGS DO I HAVE TO WALK TO GET $100
fgiga [73]

Answer:

7

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
HELP ILL GIVE 50 POINTS.!!
Jet001 [13]

Using the equation y = abx , substitute both of your given points into that equation.

2 = ab2 and 4 = ab3 Solve each equation for a.

2⁄b2 and 4⁄b3 = a Therefore, 2⁄b2 = 4⁄b3

Cross multiply: 2b3 = 4b2 Divide both sides by b2

2b = 4 a = 2/4 = 1/2

b = 2

y = 1 (2)x

2 hopefully this helped.

6 0
2 years ago
Read 2 more answers
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 131131 millimete
matrenka [14]

Correct question:

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 131 millimeters, and a standard deviation of 7 millimeters. If a random sample of 31" steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 1.9 millimeters? Round your answer to four decimal places.

Answer:

0.1310

Step-by-step explanation:

Given:

Sample size, n = 31

mean, u = 131

standard deviation, \sigma = 7

X - u = 1.9

If a random sample of 31 steel bolts is selected, the probability that the sample mean would differ from the population mean by more than 1.9 millimeter, would be determined by:

Z = \frac{X-u}{\frac{\sigma}{\sqrt{n}}}

Z = \frac{1.9}{\frac{7}{\sqrt{31}}}

Z = 1.51

Probability =

P(|Z| > 1.51) =

P(Z < -1.51) + P(Z > 1.51)

= P(Z < -1.51) + 1 - P(Z > 1.51)

Using the standard normal table:

= NORMDIST(-1.51) = 0.0655;

NORMDIST(1.51) = 0.9345

Thus,

P = 0.0655 + 1 - 0.9345

= 0.1310

4 0
3 years ago
Other questions:
  • out of 125 children at summer camp 45 signed up for swimming 38 for arts and crafts if a child is randomly selected what is the
    12·2 answers
  • Vavilen inflated a huge balloon in 19 minutes. Then he poked a hole in the balloon so that it slowly leaked air out until it was
    11·2 answers
  • Write a computation for the expression: 12 divided by 5 add 2
    7·1 answer
  • Factor 2x2 - 9x - 11.<br><br> (2x - 11)(x - 1)<br> (2x + 11)(x - 1)<br> (2x - 11)(x + 1)
    12·2 answers
  • Solve this quadratic equation using factorization<br> 8xsquared-14x-4=0
    8·2 answers
  • I need help ASAP!!!!!
    8·1 answer
  • Kareem cannot decide which of two washing machines to buy. The selling price of each is ​$650. The first is marked down by ​40%.
    5·1 answer
  • Is 5.4 irrational or rational
    5·1 answer
  • Find the Area of the quadrilateral. Please help
    5·1 answer
  • - How many solutions does the system of equations shown below have?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!