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k^3-k(a)^2=k^3 - ka^2=k(k^2 - a^2)

The area of a square is 1/144 km^2 how long is each side

=(1/144)^1/2=1/12 Km each side

33.57 divided by 1 1/2

33.57 / 1 1/2=33.57 / 3/2=33.57 X 2/3=67.14/3=22.38

Of course you can: for example sqrt(2), which is an irrational number. You can add, subtract, divide and multiply it by another irrational number such as Pi(3.141592653......etc.), which is also an irrational number.

what is 20% of 4.2=.20 X 4.2=.84

There is a simple formula for time dilation, which is a follows: T_d=1 / sqrt(1 - v^2). v is in terms of c.

For example: if a particle travel at v=.9c, then =1/ sqrt(1-.9^2)=1/sqrt(.19)=1/0.43589=2.3, so

Td=2.3. That's if a particle(or a spacecraft for that matter), travels at 90% of the speed of light, time slows down by factor of about 2.3 times of clocks at rest. So, this means that if you travelled in a spacecraft at 90% of the speed of light, for every 2.3 years that passed on earth, only one year would have passed on the spaceship.

\(\mbox{It will be }p(x) = (x+4)(x-2)\left(x-\dfrac 2 3\right) = \\ x^3+\dfrac{4 x^2}{3}-\dfrac{28 x}{3}+\dfrac{16}{3}\)

simplify- 2(3/4)^2-3(3/4)+3

=-3/8

Simplify the following:
-2 (3/4)^2-3×3/4+3

(3/4)^2 = 3^2/4^2:
-23^2/4^2-3×3/4+3

3^2 = 9:
-2×9/4^2-3×3/4+3

4^2 = 16:
-2×9/16-3×3/4+3

-2×9/16 = (-2×9)/16:
(-2×9)/16-3×3/4+3

The gcd of -2 and 16 is 2, so (-2×9)/16 = ((2 (-1)) 9)/(2×8) = 2/2×(-9)/8 = (-9)/8:
(-1×9)/8-3×3/4+3

-3×3  =  -9:
(-9)/8+-9/4+3

Put (-9)/8-9/4+3 over the common denominator 8. (-9)/8-9/4+3  =  (-9)/8+(2 (-9))/8+(8×3)/8:
(-9)/8+(2 (-9))/8+(8×3)/8

2 (-9)  =  -18:
(-9)/8+-18/8+(8×3)/8

8×3  =  24:
(-9)/8-18/8+24/8

(-9)/8-(18)/8+24/8  =  (-9-18+24)/8:
(-9-18+24)/8

-9-18+24 = 24-(9+18):
24-(9+18)/8

| 1 |
| 1 | 8
+ |  | 9
| 2 | 7:
(24-27)/8

24-27  =  -(27-24):
-(27-24)/8

| 2 | 7
- | 2 | 4
| 0 | 3:
Answer: | 
| (-3)/8

"e" on scientific calculator is the base of "natural logarithm", which is equal to about=2.718281828.........etc.

I am grateful for your answer but we are learning that particules and we are looking how an observer on the side would see it. We learned about time dillatation and its equations. I am just not sure how to use the time dillation equation to find how long it take to travel that distance since I dont have the velocity.

The slope of the line  y  =  3/2x + 2  is  3/2.

The slope of any line perpendicular to this line has a slope that is its negative reciprocal; the negative reciprocal is  -2/3.

The point-slope form for a line is:  y - y₁  =  m(x - x₁).

For this problem,  m  =  -2/3     x₁  =  3     and     y₁  =  -5.

Substituting, we get:     y - -5  =  (-2/3)(x - 3)

Simplifying:                   y + 5  =  (-2/3)(x - 3)

Multiplying:                   y + 5  =  (-2/3)x  + 2

Adding 3 to both sides:     y  =  (-2/3)x + 7

What's is 1\2 divide by 1/2

1/2 / 1/2=1/2 X 2=1

To divide by a fraction, multiply by the inverse of that fraction. The inverse of 1/2 is 2/1.

1/2 / 1/2  =  1/2 x 2/1  =  2/2  =  1

The median is the middle number when the numbers are arranged in order:  14, 17, 21, 24.

Since there is an even number of numbers, find the number halfways between the two middle numbers.

Halfway between 17 and 21  is  (17 + 21)/2  =  38/2  = 19.

So, the median of this set of numbers is 19.

what is the median of 14 and 17 and 21 24

I assume the last two numbers are 21 and 24:

You add them all up: 14+17+21+24=76, then divide this number by 4, since you have four numbers:

76/4=19 this is the "mean" of the four numbers.

\((\sqrt5*\sqrt{20})^2\\ =(\sqrt{100})^2\\ =100 \)

The square root and the square cancel each other out :)

Sorry, First I neglected to take the speed of the particle into account. Since it's .6c, then that means 299,792,458 X .6=179,875,474.8m . Then 500,000/179,875,474.8=1/360 of 1 second. What formula do you have in mind?. There are different formulas for slowing of moving clocks, moving bodies becoming more massive, shortening of bodies in the direction of motion.....etc.

Hi Jmsoh :))

Lets say your nominal annual interest rate is 8% and it is compounding monthly.

then

\((1+\frac{0.08}{12})^{12}=(1+r)^1\\ 1.0829995\approx1+r\\ r\approx 0.0829995\)

So the effective interest rate would be approximately  8.3%

What's Hepatitis and Tetanus combined?

They are TWO DIFFERENT serious diseases. Hepatitis is an inflamation of the liver. Tetanus is disease that paralyzes the muscles, especially those of the neck and the jaw.

For instance

cos 23⁰  =  0.9205

so

cos^-1 0.9205  =  23⁰

to get it on the web2.0 calc  press [2nd] then [acos]

There is also a toggle button at the bottom that sets the angle to degrees or radians :)

What is actually happening when I use cos^-1?

You are getting the angle of that cosine, in degrees. Someday, you will learn how to get an angle in something called "radians".

An accunt pays interest at a nominal rate of 8% per year. Find the effective annual yield if interest is compounded.

You don't give the period of compounding!! Is it monthly, weekly, daily, annually, semi-annually....etc.

However, here are a few common ones:

1-Monthly compound=8.30% effective annual rate.

2-Daily compound.....=8.33% ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.

3-Semi-annual comp.=8.16%,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.

Here is how you isolate x

2/3x =2

2/3x * 3x = 2*3x

2= 6x

2/6 =6x/6

x= 1/3

First convert the equation 4y=10 into the y= ax +b form

4y=10

y=4/10

y= 2/5

y=0.4

This means that you will have a straight horizontal line like this --------------------------------- at the point 0.4 on the y axis.