geno3141

To find the size of the angle when you know the value of sin, use invsin or (2nd) sin:

If sin A = 0.36 then invsin(0.36) ≈ 21.1°

-19.6 - 12  =  -19.6 + -12  =  -31.6

A negative exponent indicates that the number is in the wrong location (top to bottom):

1) If the number is in the numerator with a negative exponent, move the number to the denominator and make     the exponent positive.

    Examples:  6^-1  becomes  1 / 6

                     5^-3  becomes  1 / 5^3

                     a^-5 · b^4 · c^-8  becomes  b^4 / ( a^5 · c^8 )

2) If the number is in the denominator with a negative exponent, move the number to the numerator and make     the exponent positive.

    Examples:  1 / 7^-3  becomes  7^3

                     6 / a^-2  becomes  6 · a^2

Difficult example:

                     ( a^-4 · b^5 · c^-2 ) / ( a^3 · b ^-4 · c^-8 )  

                             becomes  ( b^5 · b ^4 · c^8 ) / ( a^4 · a^3  · c^2 )  =  ( b^9 · c^6) / a^7

cot( π/2 - y ) = tan (y )

sin²(y) - tan²(y)

This is:

sin²(y) - [ sin²(y) / cos²(y) ]   =   [ cos²(y) · sin²(y) / cos²(y) ] - [ sin²(y) / cos²(y) ] 

      =  [  cos²(y) · sin²(y) - sin²(y) ] / cos²(y)  

      =  [ sin²(y) · ( cos²(y) - 1 ) ] / cos²(y) 

      =  [ sin²(y) · ( - sin²(y) ) ] / cos²(y) 

      =  - sin^4(y) / cos²(y) 

Does this help?  

-3y - 6(3z - 3y) - 5z        Use the distributive property: multiply -6 times 3z and -6 times -3y

-3y - 18z + 18y - 5z        Combine the y's and combine the z's

15y - 23z

For every real number x, x² is positive; thus, the absolute value of x² is x².

If s = success and f = failure, the possibilities are:

s = 2 and f = 7     P = 9C2 x (5/7)^2 x (2/7)^7

s = 3 and f = 6     P = 9C3 x (5/7)^3 x (2/7)^6

s = 4 and f = 5     P = 9C4 x (5/7)^4 x (2/7)^5

s = 5 and f = 4     P = 9C5 x (5/7)^5 x (2/7)^4

s = 6 and f = 3     P = 9C6 x (5/7)^6 x (2/7)^3

s = 7 and f = 2     P = 9C7 x (5/7)^7 x (2/7)^2

Find each of the above probabilities and add them together for the total probability.

10^-1  =  1/10

30 x 10^-1  =  30 x 1/10  =  30/10  *  3

Since there is an increase (1280 more) use a + sign:  + 1280

The quick way to do this:  you need to write the number with the decimal point after the first non-zero digit

(that is as 2.24 x 10^? ) with the exponent on 10 the number of places that you have to move it to get there.

Since it starts at the far right of the number and moves 9 places, the exponent will be 9.

Answer:  2.24 x 10^9