geno3141

Work from the inside out:

    5 + [2 · (15 - 3) ÷ 6] ·  3                         Simplify 15 - 3:

= 5 + [2 · (12) ÷ 6] ·  3                               Remove the parentheses:

= 5 + [2 · 12 ÷ 6] ·  3                                 Inside the parentheses, do the multiplication first:

= 5 + [24 ÷ 6] ·  3                                       Now, do the division:

= 5 + [4] ·  3                                              Do the multiplication before you do the addition:

= 5 + 12                                                    Now finish:

= 17

The percentage of 90 out of 120 is 90 / 120 = .75 = 75%.

Since the error is ±3%, one would expect the true percentage to be between 75% - 3% = 72% at the low end and 75% + 3% = 78% at the high end. 

If you had boards 6m long, 10m long, and 17m long, could you form a triangle.

If you started with the 17m long board, fastened the 6m long board at one end and the 10m long board at the other end, could the 6m board ever reach to get to the 10m board?

The derivative of 1 is 0.

The derivative of sec(x) is sec(x)·tan(x)

So the derivative of 1 + 6 sec(x)  =  6sec(x)tan(x)

1) To get the value in the fourth row of the first column of your answer, multiply the fourth row of H times the first column of F.  -3

2) To get the value in the first column of the first row of your answer, multiply the first row of E times the first column of E. 14

3) Use this matrix multiplication:   | cos 90  -sin 90 |    | -2 |    =     | -1 |

                                                  | sin 90   cos 90 |    |  1 |            |  2 |

If it's simple interest, use this formula:  A = P·r·t

where A = final amount     P = beginning amount     r  = rate as a decimal     t = year

Your beginning amount is 2600 and your rate is 4% = .04:

1 year:  A = 2600 x .04 x 1  =

3 years:  A = 2600 x .04 X 3 =

Similar, for 5 years, 6 years, and 10 years.

If it's compounded, we will need to use a different equation and we will need to know how many times its compounded per year.

The calculator at this site wil give you a value of .57735...

Do you want it rounded to the nearest hundred or to the nearest hundredth?

To the nearest hundred, since there are no hundreds in the answer, the answer becomes 0.

To the nearest hundredth, which is the second place to the right of the decimal, look at the digit in the third place. If it is 5 or larger round up, otherwise, round down. Since it is a 7, round up, making your answer .58.

Using the distributive property:

½b - 3/2 - ½ + b  =  b + 3

To get rid of the denominators, multiply each term times 2:

  b - 3 - 1 + 2b  =  2b + 6

             3b - 4  =  2b + 6

Subtract 2b from both sides:

               b - 4  =  6

                    b  =  10

14x² + 7x + 9x²         (since all signs are +, you can forget about the parentheses)

Combining like terms (the 14x² and 9x²):  23x² + 7x

You'll need to include the points.