If m(x) = x+5/x-1 and n(x)=x-3, which function has the same domain as (m o n)(x)?

A candle on a table is 6 inches tall and burns at a rate of .8 inches per hour. How many hours will it take for the candle to bu

Vlada [557]

Answer:

6 hours

Step-by-step explanation:

6 inches burns at rate .8 inches in 1 hour

to be 1.2 inches has to burn 6 -1.2 = 4.8 inches of the candle

4.8 inches / .8 inches in 1 hour = 6 hours

7 0

3 years ago

In the opening scene of the movie Raiders of the Lost Ark, Indiana Jones replaces a golden statue with a bag of sand. The platfo

chubhunter [2.5K]

Answer:

1920π

Step-by-step explanation:

First, you need to find the volume of the statue in terms of pi.

Volume of cylinder formula:

V=πr²h

V=π4²15

V=π16×15

V=240π

Then, you need to find the mass of the statue.

Mass:

Mass= density × volume

Mass=20×240π

Mass=4800π

Now, you need to find the volume. Since the sand has to weigh the same as the statue, the mass is going to stay the same. To find the volume you need to do:

V=mass of sand/density

V=4800π/2.5

That gives you your answer:

1920π

Note: I had to do the exact same problem on Khan Academy. This is right.

3 0

3 years ago

Every year, the students at a school are given a musical aptitude test that rates them from 0 (no musical aptitude) to 5 (high m

morpeh [17]

The question is incomplete. Here is the complete question.

Every year, the students at a school are given a musical aptitude test that rates them from 0 (no musical aptitude) to 5 (high musical aptitude). This year's results were shown in the figure below.

The average (mean) aptitude score:

The median aptitude score:

Answer: mean: 2.73

median: 3

Step-by-step explanation: Mean is the average number of a set of numbers.

The table below shows a frequency of students to each score of the test. To calculate mean with a frequency table, do the following:

$mean=\frac{\Sigma (score*frequency)}{\Sigma frequency}$

$mean=\frac{0*1+1*5+2*0+3*3+4*3+5*3}{1+5+0+3+3+3}$

mean = 2.73

Median is the middle term of a set of data.

When there is a frequency table, median is calculated as:

1) First, determine the total number of observations (n).

For this table, n = 15

2) Because n is odd, find the position of the median using:

$position=\frac{n+1}{2}$

position = 8th

3) The median will be in the 8th position. To find the position, we add the frequencies and in doing so, we notice the position we want is in the score 3 category. So, the median for this frequency table is 3.

Average score of a musical aptitude test is 2.73 and median is 3

8 0

3 years ago

18. Find the inverse of {(4, -1), (3, -2), (6, 9), (8, 5)}.

nadezda [96]

An inverse function will simply reverse the coordinate pairs of the original function. If f(x)=(x,y), f^-(x)=(y,x).

So 18 is H

...

If f(x)=y=3x-4, to find the inverse function, solve for x, and then reverse the labels as seen below...

y=3x-4

y+4=3x

(y+4)/3=x so the inverse function is:

y=(x+4)/3

5 0

3 years ago

The volume of a cube is 1 cubic foot. What is the length of each side of the cube

Alona [7]

Answer:

1

Step-by-step explanation:

7 0

3 years ago