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
Lyrx [107]
3 years ago
11

A helicopter hovers over a mountain top, and a professional snowboarder drops onto the snow 252525 feet below. the snowboarder's

height off the ground, in feet, while falling can be modeled by a quadratic function of seconds of falling, ttt, which has the form h(t) = d - at^2h(t)=d−at 2 h, left parenthesis, t, right parenthesis, equals, d, minus, a, t, start superscript, 2, end superscript. if the snowboarder is still 212121 feet above the ground after falling for 0.50.50, point, 5 seconds, how long does the entire 252525 foot drop take? round your answer to the nearest hundredth of a second.

Mathematics
1 answer:
pantera1 [17]3 years ago
8 0
Given:
  h(t) = 25 - a·t²
  h(0.5) = 21

Find:
  t such that h(t) = 0

Solution:
  h(0.5) = 25 - a·0.5² = 21
  25 - 21 = a/4
  4·4 = a = 16
Then
  h(t) = 25 - 16t²
We want h(t) = 0, so
  0 = 25 - 16t²
  16t² = 25
  t² = 25/16 = (5/4)²
  t = 5/4 = 1.25

It takes 1.25 seconds for the entire 25 ft drop.

You might be interested in
Karrem says that the ratio 4:1 is eqivilent to the ratio of 12:9 because 4+8=12 and 1+8 =9 is karreem correct
Mariana [72]

Answer:

No, Kareem is incorrect.

Step-by-step explanation:

Kareem says that the ratio of \frac{4}{1}=\frac{12}{9} because 4 + 8 = 12 and 1 + 8 = 9

But the correct way to rewrite the ratio 4 : 1 is,

\frac{4}{1}=\frac{4\times 3}{1\times 3}

Which becomes as,

\frac{4}{1}=\frac{12}{3}

Therefore, Kareem is not correct.

Correct ratio equivalent to 4 : 1 is 12 : 3.

8 0
2 years ago
simplify the expression. write the answer using scientific notation. (9x10^7)(7x10^9) 1.6x10^17 1.6x10^64 6.3x10^64 6.3x10^17
Daniel [21]
The\ scientific\ notation:a\cdot10^n\ where\ 1\leq a \ \textless \  10\ and\ n\in\mathbb{Z}\\----------------------------\\\\(9\cdot10^7)(7\cdot10^9)=(9\cdot7)(10^7\cdot10^9)=63\cdot10^{7+9}\\\\=63\cdot10^{16}=6.3\cdot10^{16+1}=6.3\cdot10^{17}
5 0
3 years ago
Read 2 more answers
If I have an angle between 10 and 170 degrees, do I have a plane?
Vitek1552 [10]
I have no idea at all man I’m so sorry your math sucks
7 0
3 years ago
The population of Smallville can be found by the equation Pt) = le", where P(t) is the
pashok25 [27]

Answer:

The population of the town in the year 1962 will be 1730.

Step-by-step explanation:

The population of Smallville can be found by the equation P(t) = Ie^{rt}, where P(t) is the population at time t, r represents the rate of growth, and I is the initial population.

Now, if there are 225 residents in 1950 and the population of the town grows at a rate of 17% per year, then the population of the town in the year 1962 will be P(12) = 225 e^{0.17 \times 12} = 1730 (Approximate)

7 0
3 years ago
Osvoldo has a goal of getting at least 30%, percent of his grams of carbohydrates each day from whole grains. Today, he ate 220
Phantasy [73]
Yeah because he was at least 80% and when you add the grain and carbon that was total. Then divide the carbon. It will be 80%
8 0
3 years ago
Other questions:
  • PLEASE HELP solve x^2 - 64 = 0
    10·1 answer
  • State the range of the following:
    15·2 answers
  • Help me plz im ketching up on math but is hard for me
    15·2 answers
  • The product of 5 and a number x is 1/4. what is the value of x?
    12·2 answers
  • Which expression is equal to (x+2)(x−4)(x−4)(x+4)?
    15·1 answer
  • Which value of g makes 26=7(g-9)+12 a true statment
    6·1 answer
  • A/11 = 8b make a the subject
    15·2 answers
  • Write an equation of the parabola in intercept form that passes through (-2, 0.05) with x-intercepts of -7 and -3
    12·1 answer
  • Solve the equation by finding the common denominator. Two and one third plus three and five elevens equals blank
    5·1 answer
  • The ratio 1331 : x is equivalent to the ratio <img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3A%201331" id="TexFormula1" title
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!