geno3141

The smallest possible value of cosine is -1; the largest possible value is +1. Since 2.3 is not within those values, this arccos of 2.3 is impossible.

y = |x - 3|

You need an equation so that you need to add 3 to get the same value. Changing from 'x' to 'x - 3' requires a value (of the second expression) that is 3 larger than the entry in the first expression. 

To solve:  y + 1  =  (1/2)(x + 2),

you could just subtract 1 from both sides --->   y  =  (1/2)(x + 2) - 1

To simplify this:  --->   y  =  0.5x + 1 - 1

                         --->   y  =  0.5x

Since you don't know the actual cooking time, (which could be 10 minutes or 50 minutes), you can't answer the question. You don't know how much of the preparation time is saved by having more cooks. If it takes 50 minutes to cook one meal, it may take only 50 minutes to cook 25 meals, depending upon the size of the stove.

Multiply both sides by x:  8.15x  =  (9.0·10⁹)(-5.2·10^-5)(-5.2·10^-5)

Simplifying exponents:    8.15x  =  (9.0)·(-5.2)·(-5.2)·(10^-1)

Dividing:                              x  =  (9.0)·(-5.2)·(-5.2)·(10^-1) ÷ 8.15

Now, it's calculator time!

If the number is x, then the reciprocal will be 1/x and the equation is:  x  =  1 + 1/x

Multiplying both sides by x:  x²  =  x + 1

Rearranging:                       x² - x - 1  =  0

Using the quadratic fromula with  a = 1  b = -1  and  c = -1:

--->   x  =  [1 ±√(1+4)] / 2   --->   (1 ±√5)/2

Let  d  =  number of dimes

Let  q  =  number of quarters

Number equation:  d + q  =  26

Value equation:  0.10d + 0.25q  =  5.30

Simplifying the value equation by multiplying by 100:  10d + 25q  =  530.

Solving the two equations:

   d + q  +  26   --->   multipling by -10   --->    -10d - 10q  =  -260

 10d + 25q  =  530                                --->     10d + 25q  =  530

Adding down the columns:                                          15q  =  270

                                                            --->                 q  =  18

                                        d + q  =  26   --->                d  =  8

176.4  =  0.5(9.81t)t²

Simplify                             --->   176.4  =  4.905t³

Divide both sides by 4.905   --->   35.963  =  t³

Find the cube root               --->   3.3  (approx)

The formula for slope is:  m  =  (y2 - y1) / (x2 - x1)   --->   m  =  (b - b) / (-a - a)  =  0/(-2a)  =  0

If you are trying to find the average of these numbers, after you add the numbers together, divide by the number of number; in this case, divide the sum by 7.