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Alex777 [14]
2 years ago
15

Solve the following equation:(g x f)(x) when f(x) = x+5 and g(x) = 7x

Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
8 0
(g o f)(x)=g(f(x))

basically
put f(x) for every x in g(x)
g(f(x))=7(f(x))
f(x)=x+5
g(f(x))=7(x+5)
g(f(x))=7x+35


(g o f)(x)=7x+35
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What is 250/100 as a whole number?
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3 0
3 years ago
An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 3ft long with a diameter of 2.2 ft . S
Contact [7]

4 minutes 34 seconds will takes to empty the tank, if the starts completely full and oil drained at a rate of 2.5 ft^{3} per minute.

Step-by-step explanation:

              The given is,

                         Tank is shaped like a cylinder that is 3 ft long with a diameter of 2.2 ft.

                          Oil drained at a rate of 2.5 ft^{3} per minute.

Step:1

       Time taken to dry the oil tank is,

                           T   = \frac{Volume of oil}{Oil drain rate}  ....................................(1)

Step:2

      Volume of the oil is,

                           V = \pi  r^{2} h.................................................(2)

      Where, r - Radius of Cylinder

                             r = \frac{d}{2}

                             r = \frac{2.2}{2}

                             r = 1.1 ft

      From eqn (1),

                        V =  \pi × 1.1^{2} × 3

                           = 11.40398 ft^{3}

Step:3

     From equation (1)

                           = \frac{11.40398}{2.5}

                           = 4.56

                           = 4.56 minutes

                      T  = 4 minutes 34 seconds

Result:

      Time taken to dry the oil tank is 4 minutes 34 seconds, if a cylinder is 3 ft long with a diameter of 2.2 ft and oil is drained at a rate of 2.5ft^3 per minute.

4 0
2 years ago
Gail Leonard�s monthly take home pay is $5,000 She has a $600 mortgage payment, $750 car payment, $120 student loan payment, and
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