Painting. Quentin can paint the turret on a Queen Anne house in 40 hr. It takes Austin 50 hr to paint the same turret. How long would it take them, working together, to paint the turret?

The answer to your question is 22.2 hours

Step-by-step explanation:

Data

Quentin      40 hr to paint a turret

Austin         50 hr to paint a turret

Use proportions to solve this problem

Quentin        1 turret 40 hr    Austin   1 turret 50 hr

                    x               1 hr                   x         1 hr

                    x = 0.025 turret                                  x = 0.02 turret

Then

- In 1 hour they paint              0.025 + 0.02 = 0.045 of the turret

- In 10 hours they paint     (10 x 0.025 + 10 x 0.02) = 0.25 + .2 = 0.45

- In 20 hours they paint    (20 x 0.025 + 20 x 0.02) = 0.5 + 0.4 = 0.9

- In 22 hours they paint    (22 x 0.025 + 22 x 0.02) = 0.55 + 0.44 = 0.99

- In 22.2 hours they paint (22.2 x 0.025 + 22.2 x 0.02) = 0.555 + .0.444 =

                                                                                                                     0.999

They paint the turret together in 22.2 hours  

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.