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1121.5 to the 2/3 power

Put it into the calc like this

1121.5^(2/3)=

It depends on the angle bwteen them.  If they are in line then the magnitude of the resultant is just 20 + 40.  However, if they are at right angles then the magnitude of their sum is √(20² + 40²).  For a general angle between them use the cosine rule.

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1.5x = 15/20 ounces

x = 15/20/1.5 ounces

$${\frac{{\frac{{\mathtt{15}}}{{\mathtt{20}}}}}{{\mathtt{1.5}}}} = {\frac{{\mathtt{1}}}{{\mathtt{2}}}} = {\mathtt{0.5}}$$

0.5 ounce is original quantity  

Let his regular hourly rate be w dollars/hour

then his overtime rate will be  w+3    dollars per hour

5w + 4(w+3)=66

5w+4w+12=66

9w+12=66

9w=54

w=6

Regular wage is $6 per hour    

 Half an ounce

I'll assume that you actually mean

$$\\y=(1/4 )\;cos [(2\pi/3)x]\\\\
Period=2\pi \div \frac{2\pi}{3}=2\pi\times\frac{3}{2\pi}=3\\\\
Amplitude=1/4\\\\
middle : \qquad y=0\;\;\;$(the x axis)$$$

Here isa the graph

What transformation?

x can be anything EXCEPT 2.5

because if it was 2.5 then you would  be dividing by zero and then the world would end !!

Math has proven to be useful for instance in the development of medicines and vaccines, saving millions of lives. It's also quiet useful when building houses, when producing cars and when making food. Indeed the machine you used to ask this question with is pretty much a powerful calculator.

This certainly doesn't mean that YOU have to become a PhD in math. But some people have to be experts in the field in order to move us technologically and medically forward. 

The amount of math in the public school may seem overwelming at the moment. But time flies, before you know it it'll all belong to the past :)

100,000 / 15 = about (6666 + 2/3)  days = about 18.26 years

I assume this is.....

y= -x^2+8x+14

The x coordinate of the vertex is given by -b/2a = -8/2(-1) = 4

And the y coordinate is given by

y = -(4)^2 + 8(4) + 14  =  -16 + 32 + 14  = 30

So the vertex is  (4, 30)

We could use any of several functions here, but one possibility is the tangent inverse.......so we have

tan^-1(9/5)  = about 61°

Simplify 3 to the 18th power over 3 to the 2nd power

Remember that:

$$\frac{a^{b}}{a^{c}}= a^{b-c}$$

So we get:

$$\frac{3^{18}}{3^{2}}=3^{18-2}=3^{16}$$

6x+3>36x+39

Subtract 36x from both sides

then

subtract 3 from both sides

then

divide both sides by the number in fron to the x.

Remember

If you divided or multiply by a negative then you need to swap the sign around

[YOU DO NOT SWAP THE SIGN AROUND WHEN YOU SUBTRACT ANYTHING]

All equations can be written on the form y=ax+b.

Therefore you must rewrite to stand at that form,

x+2=3   =>   (x+2)-3=3-3   =>   x+2-3=0   =>   x-1=0  =>  

a=1, there is only one x
b=-1, the rest number gave -1

1x-1=y  =>  x-1=y

6x + 3   >  36x + 39

Subtract 6x from both sides:

        3  >  30x + 39

Subtract 39 from both sides:

     -36  >  30 x

Divide both sides by 30:  -36 / 30  =  -6/5

     -6/5  >  x

Reversing the inequality:

          x  <  -6/5           (notice that, if you switch the x and the -6/5, you also have to switch the direction of                                                   the inequality sign)

1cm = 10^-2m

1nm = 10^-9m

so there are 10^-2/10^-9 nm/cm = 10⁷ nm/cm

Hence there are (10⁷)² or 10¹⁴ square nm in a square cm.

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Multiply them by 100.  e.g. 2/5 is 100*2/5 = 200/5 = 40%

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@@ End of Day Wrap     Tues 23/12/14     Sydney,   Australia      Time 1:35 am  (Really Wed morn)      ♬

Hi everone,

Yes, it is quiet but there were still some great answers.  These were delivered by Will85237, sevenUp, Alan, Shaniab29544, Geno3141 and Sasini.  Thank you.  

Here are a couple of interest posts:

1) Number Puzzles.  Thanks for your great answers SevenUp  

http://web2.0calc.com/questions/here-are-a-couple-of-number-puzzles-for-you_1

2) Linear equation - Just a little different.  Thanks Geno

x⁶  =  x·x·x·x·x·x

x⁴  =  x·x·x·x

So:  x⁶ / x⁴  =  (x·x·x·x·x·x) / (x·x·x·x)  =  x·x  =  x²   (Cancelling out like factors)

Or:  you can subtract exponents:  x⁶ / x⁴  =  x^{6 - 4}  =  x²

Wed 24/12/14      NOTHING

Thurs 25/12/14

Divisability tests.   This is a really good for younger children (and older ones if they don't already know it)  Thanks Chris.

$$\begin{array}{rll}
P&\alpha&V\\
P&=&kV\\
3000&=&k*8\\
k&=&3000/8\\
k&=&375\\
so\\
P&=&375*V\\\\
When\; V&=&5.2\\
P&=&375*5.2\\
P&=&1950\;\;watts\\






\end{array}$$

I have been assured that is is undefined   

$$x^2-10y^2=1$$

There is an infinit number of points that will make this true.

Every point on the graph below will make this equation true.     

Hey Jilly, if it is just for fun why don't you do it?   

50/2x6-12+16