A digital delay device echoes an input signal by repeating it a fixed length of time after it is received. If such a device receives the pure note f1(t)= 5sint and echoes the pure note f2(t)= 5cost, then the combined sound is f(t) = f1(t) + f2(t). Required:
a. Graph y= f(t) and observe that the graph has the form of a sine curve y= ksin(t+ φ).
b. Find k and φ.

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10