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
Aloiza [94]
2 years ago
5

For what period of time during the dive is the diver's center of mass higher than the diving board, which is 6 feet above the wa

ter? MODULE 4.4 ALGEBRA 2 DIVING Relative to the surface of the water, the height h in feet of a diver's center of mass during a dive is modeled by the function h(t) = -16t + 14t + 10 where t is the time in seconds since the dive began
Mathematics
1 answer:
lana66690 [7]2 years ago
8 0

Answer:

For around  1.1018 seconds, the diver's center of mass higher than the diving board, which is 6 feet above the water.  

Step-by-step explanation:

We are given the following information in the question:

Relative to the surface of the water, the height h in feet of a diver's center of mass during a dive is modeled by the function h(t).

h(t) = -16t^2 + 14t + 10

where h is in feet and  t is the time in seconds since the dive began.

Since this is relative to water level, we treat water level as 0.

We have to find the period of time during the dive is the diver's center of mass higher than the diving board, which is 6 feet above the water.

Thus, h(t) = 6 feet

h(t) = 6 =-16t^2 + 14t + 10\\-16t^2 + 14t + 4 = 0

Using the quadratic formula, to solve this quadratic equation:

at^2 + bt + c = 0\\\\t = \displaystyle\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\text{Putting }a = -16, b = 14, c = 4\\\\t =  \displaystyle\frac{-14\pm \sqrt{(14)^2-4(-16)(4)}}{2(-16)}\\\\t = -0.2268, 1.1018

Thus, for around  1.1018 seconds, the diver's center of mass higher than the diving board, which is 6 feet above the water.

You might be interested in
In a family there was give sons. The oldest son is 11 3/4 years old, and every next younger brother is younger than the next by
aleksklad [387]

Answer:

5.5

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
The cylinder below has r = 10 inches and a volume of 6283 cubic inches to
Reil [10]
V= piR^2(h)
6283=pi(10^2)(h)
6283=pi(100)h
height = 6283/(pi(100))
then round to the nearest inch
4 0
3 years ago
Into how many equal parts can the same cake be cut if the cuts can only be made along the gridlines? cake can be cut into equal
avanturin [10]

Into how many equal parts can the same cake be cut if the cuts can only be made along the gridlines, cake can be cut into 20 equal parts.

This is further explained below.

<h3>What are gridlines?</h3>

Generally, In spreadsheet software, gridlines are the light gray lines that divide the cells, rows, and columns. Gridlines are often used to maintain track of data. Gridlines are widely used in popular spreadsheet programs like Spreadsheet.

In conclusion, If the cuts can only be done along the gridlines, the cake may be divided into 20 equal pieces when cutting along the lines.

Read more about gridlines

brainly.com/question/2773987

#SPJ1

3 0
1 year ago
PLEASEEE HELP!!!!!!!!
Cloud [144]

Answer:

Number 2

Step-by-step explanation:

So you first gotta open the parentheses: When you multiply them you add the exponents

You get x^5/6 + 2x^7/3

8 0
3 years ago
Read 2 more answers
Rewrite the linear equation below in slope-intercept form. 7x+9y=12 Select one: A. y=−7x/9+4/3 B. y=−7x/9+3/4 C. y=7x/9+4/3 D. y
polet [3.4K]

Answer:

The answer is A y=-7x/9 + 4/3

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • The circumference (C) of a circle is 16 cm. Which formula can you use to find the diameter (d) if you know that C = π d?
    6·1 answer
  • suppose that $2000 is loaned at a rate of 18%, compounded monthly. Assuming that no payments are made, find the amount owed afte
    15·2 answers
  • In the first 42 Super bowls, 0.16 of the MVPs were runner backs.
    9·1 answer
  • Bradley works at a restaurant, earning a daily salary and tips per table served. The scatter plot shows how much money he earned
    14·1 answer
  • Simplify by combining like terms 5 4/7i+4 3/5i
    10·1 answer
  • 2. An apple has a diameter of 8 cm. An orange has a diameter of 11 cm. Determine how many times greater the volume of the orange
    10·1 answer
  • Find the Slope
    8·1 answer
  • A vector is used to express a car's change in position, or displacement, by tracking its motion over a large area defined by a c
    6·2 answers
  • Please show me the steps to solve this<br><br> 2n^2 = -144
    15·2 answers
  • Which of the following descriptions could represent the Venn diagram?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!