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
Katen [24]
3 years ago
13

20 POINTS!!! PLZ ANSWER!! On the moon, the time, in seconds, it takes for an object to fall a distance, d, in feet, is given by

the function f(d) = 1.11√d. Part a: determine f(2) and explain what it represents. Part B: The imbrium basin is the largest basin on the moon. A reasonable domain for the height above the lowest point in the basin is given by {d|0 ≤ d ≤ 3805774}. What does this tell you about the basin. Part C: how long would it take a rock to drop from the rim to the bottom of the basin?
Mathematics
1 answer:
scoundrel [369]3 years ago
3 0

Answer:

Part a) f(2)=1.57\ sec

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) see the explanation

Part c) 2,165.43\ sec

Step-by-step explanation:

Let

f(d) -----> the time in seconds it takes for an object to fall

d -----> distance in feet

we have

f(d)=1.11\sqrt{d}

Part a): Determine f(2) and explain what it represents

we know that

f(2) represent the time in seconds it takes for an object to fall a distance of 2 feet

For d=2\ ft

substitute in the function above and solve for f(2)

f(2)=1.11\sqrt{2}

f(2)=1.57\ sec

therefore

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) The imbrium basin is the largest basin on the moon. A reasonable domain for the height above the lowest point in the basin is given by {d|0 ≤ d ≤ 3805774}

What does this tell you about the basin?

The height of the basin is greater than or equal to 0 ft and less than or equal to 3,805,774 ft  

so

The maximum height of the basin is 3,805,774 ft

Part c) How long would it take a rock to drop from the rim to the bottom of the basin?

we know that

The distance from the rim to the bottom of the basin is equal to the maximum height of the basin

so

d=3,805,774\ ft

substitute the value of d in the function f(d)

f(d)=1.11\sqrt{3,805,774}

f(d)=2,165.43\ sec

You might be interested in
members of the band boosters are planning to sell programs at football games. the cost to print the programs is 150 plus 0.50 pe
Lina20 [59]
250 programs I beleive.
8 0
3 years ago
An article in the November 1983 Consumer Reports compared various types of batteries. The average lifetimes of Duracell Alkaline
Allushta [10]

Answer:

The mean is of -0.4 hours.

Step-by-step explanation:

To solve this question, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Mean of the sample of 64 Duracell:

By the Central Limit Theorem, 4.1 hours.

Mean of the sample of 64 Eveready:

By the Central Limit Theorem, 4.5 hours.

Mean of the difference?

Subtraction of normal variables, so we subtract the means.

4.1 - 4.5 = -0.4

The mean is of -0.4 hours.

8 0
2 years ago
How many edges does a triangular prism have?
JulsSmile [24]
The answer would be 9, because you have the 3 edges along the rectangles, and then 3 edges each for the triangles. So 3 + 3 + 3 = 9. I hope this helps!
6 0
3 years ago
The missing term in the following polynomial has a degree of 5 and a coefficient of 16. ?+13x^6-11x^3-9x^2+5x-2 Which statement
mojhsa [17]
The answer is A, hope this helps!
7 0
3 years ago
Read 2 more answers
PLz help with these question's <br> I am giving out the brainiest
Dima020 [189]

quesrion 5

1000

0.1

0.1

question 6

93

156

51

make me brainliest plzzzz this took me a lot of time

6 0
2 years ago
Other questions:
  • A high school basketball team has a budget specifically for towels and extra basketballs. A towel costs $4 and a basketball cost
    9·2 answers
  • PLZ HELP!!!!!! (WILL GIVE BRAINLIEST!!!!)
    8·1 answer
  • Write an equation is slope-intercept form for the line that passes through the given point and is perpendicular to the graph of
    7·1 answer
  • Factor this please: x^4-9x^2+20
    13·2 answers
  • 3/5 x 3/4? anyone wanna help?
    15·1 answer
  • Determine the following figures
    12·2 answers
  • Gina wants to make
    13·1 answer
  • Need some help with this question please.
    12·1 answer
  • Which of the following equations demonstrate that the set of polynomials is
    7·1 answer
  • EVERYONE, PLEASE HELP I NEED THIS DONE
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!