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Use this triangle and you can work it out yourself.

sec² π/6 + 3cot π/6

pi/6 radians = 30 degrees

\(sec² 30 + 3cot30\\= (1 \div cos^230)+3(1\div tan30)\\ = (\frac{2}{\sqrt3})^2+3(\sqrt3)^2\\ = \frac{4}{3}+3*3\\ = \frac{4}{3}+9\\ =10\frac{1}{3}\)

possible:

one million

a one with six zeroes

a thousand thousands

1,000,000

a thousanth of a billion

10 to the sixth power

100 to the third power

and others...

1) Lots and lots of repetetive practice.  

2) When you are are using a formula never look at the formula when you are using it.  

Look at  it, try to imprint it (short term) then write it for you question.  Then you can look back to check you got it right.  Eventually you will just know it.  :)

3) Always write down formulas so that you are constantly imprinting them on your mind.

4) If you are struggling because of an earlier concept that you haven't totally 'got' yet, go back and practice or learn that concept.  Maths is one concept on top of another on top of anther etc.   Most people (if they study maths long enough) eventually reach a brick wall because there are too many earlier concepts that they really do not understand and eventually they just cannot really go any further.  ALWAYS make sure you understand underlying principals.

5) There are heaps of you tube clips to take you over earlier (or current) concepts.     

I hope that helps        

(This is not really for a test - it is all the time.)

1 million? 

Very nice Heureka :)

That is a great diagram    

Hi toriisbae,

So you are practicing drawing tables?  That might be a handy skill for a proper question sometime :)

Joe's age is three times Aaron's age and Aaron is six years older than Christina. If the sum of their ages is 99, what is Christina's age? Joe's age? Aaron's age?

Let Christina's age=C

Aaron's age=C+6

Joe's age =3[C+6]

C+C+6+3[C+6] =99

2C+6+3C+18 =99

5C=99-6-18

5C=75 divide both sides by 5

C=75/5

C=15 years-Christina's age

15+6=21 years- Aaron's age

3 x 21=63 years-Joe's age

Hi Firecat :)

Given f(x)=-4 \sqrt(x2) please find f(c+6).

\(f(x)=-4 \sqrt{x^2} \\ f(c+6)=-4 \sqrt{(c+6)^2} \\ f(c+6)=-4*|c+6| \\~\\ If\;\;\;c+6\ge0\;\;then\;\; f(c+6)=-4(c+6)\\ \qquad c\ge-6\;\;\;\;then\;\; f(c+6)=-4c-24\\~\\ If\;\;\;c+6<0\;\;then\;\; f(c+6)=-4(-(c+6))\\ \qquad c<-6\;\;\;\;then\;\; f(c+6)=4c+24\\~\\ So\\ If\;\;c\ge-6\;\;\;\;then\;\; f(c+6)=-4c-24\\ If\;\; c<-6\;\;\;\;then\;\; f(c+6)=4c+24\\~\\\)

Hi Jim, welcome to web2.0 calc forum  

Permutations

Say you have 6 people.

You want to chose three of them and put those three in an ordered line.

6P3  would be the number of ways you can choose those three people, one at a time as they are placed in the line.

So it is a count of ordered selection.

15*1/4=3.75

10((1+i)/(1-i))^8 - 5((1-i)/(1+i))^6=15

Divide: (1+i) / (1-i) = i

Power: i ^ 8 = 1

Multiple: 10 * 1 = 10

Divide: (1-i) / (1+i) = -i

Power: (-i) ^ 6 = -1

Multiple: 5 * (-1) = -5

Subtract: 10 - (-5) = 15

18 is the answer

I love tans!

Depends how high-calorie the food is.

thank you. You saved my life today 

No. 7*7=49

the answer is 48

6x8=48

x= -2.5 or x=1/3

The circumfrance of 29... uh... units is the amount of said units you can wrap around the circle you got the data of the circumfrance from. (I don't know what you meant by this but this is what I infered your question to be).

A sweater is on on sale for 15% off. The original price is $35. How much is the sales price?

$35 x (15/100) =$5.25 the amount of the discount.

$35.00 - $5.25 =$29.75 price of the sweater after 15% discount.