The calculator here doesn't deal directly with gradians, only radians and degrees.  Since 100 gradians = 90 degrees you could do the calculation in degrees by converting from one to the other.

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This says that 16/x = tan(90°).  But tan(90°) is undefined.  The limit of tan(θ) as θ approaches 90° from above is -∞; the limit as θ approaches 90° from below is +∞.  

Hence there is no value of x for which tan^-1(16/x) = 90°

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2/3 of 1020

=2/3*1020

=2040/3

=680

Do you mean the points where it crosses the x and y axes? If so they will be at (±R, 0) and (0, ±R)

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Yes.

√(e⁶) → (e⁶)^1/2 → e^6*1/2 → e³

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Number of women = (3/8)*24 = 9

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Multiply the magnitudes together and add the angles:

100∠30*(-10∠-165) = -(100*10)∠(30-165) = -1000∠-135

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If this is meant to be the "floor" function, often available in many computer languages, then the result is the integer that is less than or equal to the number in question.  So floor(9.6) is 9.

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Here is a good post that might help you with negative numbers

Hi MG,

I decided I would persist with this today because you have length and area in your test tomorrow so it might help.

FIRST SQUARE

What I wanted you to say here is that the area of the first square is $$16cm^2$$    

DO NOT FORGET THE SQUARED UNITS.   This is very important because it is the number of SQUARES that fit inside the plane (flat) shape.

I asked for 2 reasons 

Reason 1):  There is 16 squares inside that shape.  Each square has a side length of 1cm.  

So there are 16     1cm squares.      That is   $$16cm^2$$

Reason 2:    A=L*L = 4*4 = $$16cm^2$$

SECOND SQUARE

The area of this square is $$9cm^2$$   I know that because I can COUNT the 9 squares AND because I am told.

The side length is 3cm     I know the side is 3 cm because i can see it on the picture.

I also know the side is 3cm because the area is   $$9cm^2$$    and area is  Length*length = $$L*L=L^2$$

 $$\mathbf{If\;\;\;\;L^2=9\qquad then\; \; L=\sqrt{9} = 3cm}$$

Hi Pyramid :)

You have not specified a base.

Just to make the illustration easier I will make it base 2

Lets look atsome values for    $$y=log_2x$$

$$\\log_28=3\qquad $because $8=2^3\qquad (8,3)\\\\
log_24=2\qquad $because $4=2^2\qquad (4,2)\\\\
log_22=1\qquad $because $2=2^1\qquad (2,1)\\\\
log_21=0\qquad $because $1=2^0\qquad (1,0)\\\\
log_2\frac{1}{2}=-1\qquad $because $\frac{1}{2}=2^{-1}\qquad (\frac{1}{2},-1)\\\\
log_2\frac{1}{4}=-2\qquad $because $\frac{1}{4}=2^{-2}\qquad (\frac{1}{4},-2)\\\\
log_2\frac{1}{8}=-4\qquad $because $\frac{1}{8}=2^{-3}\qquad (\frac{1}{8},-3)\\\\$$

Now I can plot these points and then draw the points joining them as accurately as I can.

Now I can estimate other outputs directly from the graph.

Here is the graph

=3(3)^8

=3(6561)

=19683

.......Can anyone just tell me the anwser?This question is very important to me.Thank you!

f(b)=(b-b^2)/(1+b^2),

f(tan x)=[tan(x)-tan^2(x)]/[cos^2(x)/cos^2(x)+sin^2(x)/cos^2(x)]

           =[tan(x)-tan^2(x)]/[1/cos^2(x)]

           =[tan(x)-tan^2(x)]*cos^2(x)

           =[sin(x)/cos(x)-sin^2(x)/cos^2(x)]*cos^2(x)

           =sin(x)cos(x)-sin^2(x) or =1/2*sin2x+1/2*cos2x-1/2

What is 18 as a percentage of 144?

ANd its not 12.5%

Anonymous

Alan and Melody are, of course, right! But, if it's not 12.5%, then your question's not right!

There's a similar question... and that is:  What is 18% of 144? 

In this case, 144 is divided by 100 and the result multiplied by 18.

$${\frac{{\mathtt{144}}}{{\mathtt{100}}}}{\mathtt{\,\times\,}}{\mathtt{18}} = {\mathtt{25.92}}$$

So, 18% of 144 is 25.92

Consider this...

18 as a percentage of 144 = 12.5%

12.5% of 144 = 18

18% of 144 = 25.92

25.92 as a percentage of 144 = 18%

If a= {1,2,3,4,5,6,7,8} and b= {2,4,6,8,10,12} the intersection of sets a and b is

A = {1,2,3,4,5,6,7,8}        B = {2,4,6,8,10,12}  

A ∩ B = {2,4,6,8}

From Wikipedia:  "The intersection of A and B, denoted by A ∩ B, is the set of all things that are members of both A and B."

2nd way: calculate it for yourself.

Math is not lame. For example, you go to the shops. They don't have a calculator and can't do math very well. Calculate the money. You can prove stuff by calculation and math is always correct.

I cannot answer this question because I don't know what a gf is.

2x-y=-14→-4x+2y=28

3x+2y=-7

Subtract the equations:

-7x=35

x=-7

Subsitute:

-14-y=-14

y=0

PEMDAS = (Parentheses and Exponents), then (Multiplication and Division), then (Addition and Subtraction).

5^8 = 5*5*5*5*5*5*5*5 = 390625

-3^8 = (-3)*(-3)*(-3)*(-3)*(-3)*(-3)*(-3)*(-3) = -6561

390625*(-6561) = -2562890625

Yes,it is like a fraction.the ratio of men to woman is 5:3,so the ratio of women to total people is 3:8=3/8

(I pretty sure that I got the right anwse,but I dont know why the book give the anwser is D 11) 

Hi, friend.

Wath is the ratio?

Is like a fraction?