Answer:
The volume of the water in the tank is 112 m³
Step-by-step explanation:
The volume of the rectangular prism V = L × W × H, where
∵ A rectangular tank has a length of 4 m, a width of 12 m, and
a height of 3.5 m
∴ L = 4 m
∴ W = 12 m
∴ H = 3.5 m
∵ V = L × W × H
∴ The volume of the tank = 4 × 12 × 3.5
∴ The volume of the tank = 168 m³
∵ The tank is filled with water
of its capacity
→ That means the volume of the water is
the volume of the tank
∵ The volume of the water =
the volume of the tank
∴ The volume of the water =
× 168
∴ The volume of the water = 112 m³
∴ The volume of the water in the tank is 112 m³
Yes the student is correct
Answer:
A) is a function
B) f(x) is greater
C) x = 12
Step-by-step explanation:
A) Yes, the relation is a function.
A function has a unique input value for each output value. There are no repeated x-values, so this relation is a function.
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B) The table says y=6 for x=6.
f(6) = 2(6)+16 = 28
f(x) has a greater value for x=6.
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C) Substituting the given information, we have ...
40 = 2x +16
24 = 2x
12 = x
The value of x is 12 when f(x) is 40.