geno3141

Make certain that the calculator is in radian or degree mode; whichevery you want (Lower left of screen).

Hit the 2nd key, then the acosh key, then enter the number.

For example, the answer to invCosh( 2 ) = 1.31695...

1)  Get all the terms that contain an 'a' to the left side; get all the other terms to the right side:

          ax + z  =  aw - y           (Subtract aw from both sides.)

          ax - aw + z =  -y           (Subtract z from both sides.)

          ax - aw  =  -y - z           (Factor a out of the left side.)

          a(x - w)  =  -y - z          (Divide both sides by x - w.)

          a  =  (-y - z) / (x - w)

2)  Get all the terms that contain an 'n' to the lift side; get all the other terms to the right side:

          -14n + q  =  rt - 4n          (Add 4n to both sides.)

          -14n + 4n + q  =  rt         (Subtract q from both sides.)

          -10n  =  rt - q                  (Divide both sides by -10.)

               n  =  (rt - q) / -10

               n  =  (q - rt) / 10

Write each number in factored form:

39  =  3 x 13

9  =  3 x 3

117  =  3 x 39  =  3 x 3 x 13

Take each factor the greatest number of times in each number;  3 x 3 x 13  =  117.

Each number, 13, 3, and 117 will divide into 117 without a remaider (and, no smaller number will work) ; therefore, it is the least common multiple.

To separate  40.8  gallons of paint into  8  containers, calculate:  40.8 ÷ 8  =  5.1 gallons each.

For  f(x)  =  (3/4)x²,

when  x = -6,  f(-6)  =  (3/4)(-6)²  =  27

when  x = -4,  f(-4)  =  (3/4)(-4)²  =  12

when  x =  2,  f(2)  =  (3/4)(2)²  =  3

The range consists of the values for f(x):   {27, 12, 3}.

If you are talking about graphing equations,

parallel lines have the same slope (for example y = 2x + 9 is parallel to y = 2x - 7 because both have the same slope, 2)

and perpendiculr lines have slopes that are negative reciprocals (for example y = 2x + 9 is perpendicular to y = (-1/2)x - 7, because the slopes are negative reciprocals).

Please send more complete information and we can answer the question more fully.

To be so accurate as to calculate to the nearest minute and second, you would have to know the number of leap years and even the number of leap seconds added.

For approximate purposes:  there are 60 seconds in each minute, 60 minutes in each hour, 24 hours in each day, and 365.25 days in an average year (to account for leap years).

AS a decimal, 6 25/100  = 6.25.

Compound Interest Formula:  A = P(1 + r/n)^(n·t)

A = final amount                  r = rate, as a decimal (.021)                      t = number of years (17)

P = initial amount (2914.72)    n = number of times compounded per year (365)

A  =  2914.72(1 + .021/365)^(365·17)  =  $4165.20

Interest earned:  $4165.20 - $2914.72  =  $1250.48           <-----  Answer

You might want to recalculate this, attempting to handle leap years, by replacing the number of times compounded per year with 365.25 and see if that has an effect.

He worked 344 days in a year?