MATHEMATICS HIGH SCHOOL

Absolute value of 5.23

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Answer 1

Answer: The absolute value of any positive value is just the value itself so it would still be 5.23

Related Questions

How many radians does the minute hand of a clock rotate through over half an hour? How many degrees?

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Answer:

So minute hand will rotate $\pi radian$ in half an hour

Step-by-step explanation:

In one hour minute hand of clock rotate about 360°

So in half an hour minute hand clock rotate $(360)/(2)=180^(\circ)$

We have to find how many minute hand rotate in radian

For conversion of degree to radian we have to multiply with $(\pi )/(180)$

So $180^(\circ)=180* (\pi)/(180 )=\pi radian$

So minute hand will rotate $\pi radian$ in half an hour

the population of masterton was 23 000 in 2012. Assume that Masterton population increases at a rate of 2% per year. Write an equation to model the population of masterton (y) based on number of years since 2012(x)

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So, let's first focus on the first year:

the population then would be: 23000* (100+2)%

100% is the old population the 2% is the incease, so in total it's 102%, or 1.02 - the same number written differently.

So it will be 23000*1.02

After two years it will be 23000*1.02*1.02, and so on

so after x years it will be:

y=23000* $1.02^(z)$

Given the function(x)=5x+4, find its inverse

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the inverse is the reflection across the identiy line, the y=x line basically switch x and y and solve for y f(x)=5x+4 y=5x+4 swtich x=5y+4 solve for y x-4=5y (x-4)/5=y finverse=(x-4)/5

Make the function, f (x) into y. Then switch the variables y and x and solve for y : (x-4)/5

A particle moves along the x-axis so that at any time t, measured in seconds, its position is given by s(t) = 4sin(t) - cos(2t), measured in feet. What is the acceleration of the particle at time t = 0 seconds?

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Answer:

The acceleration of the particle at time t = 0 seconds is:

4 feet per square second.

i.e. 4 ft/s²

Step-by-step explanation:

We are given a position function in terms of the time t as:

$s(t)=4\sin (t)-\cos (2t)$

Now, we are asked to find the acceeleration of the particle at time t = 0 seconds.

We know that the acceleration of a particle is given by:

$a=(d)/(dt)v$

where v is the velocity of the particle which is calculated by:

$v=(d)/(dt)s$

Hence, we get:

$a=(d)/(dt)((d)/(dt)s)\n\ni.e.\n\na=(d^2)/(dt^2)s\n\ni.e.\n\na=s''(t)$

i.e. the acceleration of the particle is the double derivative of the position.

$s'(t)=4\cos (t)+2\sin (2t)$

and

$s''(t)=-4\sin (t)+4\cos (2t)$

i.e.

$a(t)=-4\sin (t)+4\cos (2t)\n\ni.e.\ at\ t=0\ we\ have:\n\na(0)=-4\sin 0+4\cos 0\n\ni.e.\n\na(0)=4$

The radio station KORK is a conducting a telephone survey. The survey is conducted by selecting 4 pages at random from the telephone book and then interviewing every person on each of the selected pages. This is an example of which of the following sampling techniques?

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Check your definitions of each. A random page sample selection is used, but then a 100% sample is taken of each random page selected. I remember Queen for a Day, which was one of many such shows. Either people got bored of misery or the misery was contrived.

Christine has 28 jazz songs and classical songs on a playlist. The play list has 3 times as many jazz songs as classical songs. She has 7 times as many rock songs as classical songs. How many Jazz songs are in the playlist? How many rock songs are on the playlist?

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I assume you mean the total number of jazz and classical songs combined is 28 songs?
3 times as many jazz as classical:
Means there is a ratio of 3 jazz to 1 classical, which means there are essentially 4 parts (3+1=4). So if we divide 28/4=7. This gives one part = number of classical songs, jazz is 3 parts so 7*3=21 jazz songs.
7 times as many rock as classical:
From above we know there are 7 classical songs. 7*7=49 rock songs.
Jazz=21 songs
Rock=49 songs

Other Questions

A cherry blossom tree grows 2 inches per year. A cherry blossom tree is 28 currently inches. How tall, in inches, will the cherry blossom tree be in 13 years?

In 2010, the United States national debt was estimated to be nearly 13,000,000,000,000 dollars. Which of the following represents the national debt in scientific notation?

What is the range of the given function? {(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}

A coin is weighted so that the probability of getting heads is 0.70. If the coin is flipped twice, what is the probability of getting a tail followed by a head?