At start: PE only
At end: KE and energy lost to friction
PE = KE + E
E = PE - KE
= mgh - (1/2)mv^2
= (40)(9.8)(12) - (.5)(40)(10)^2
= 2704J
16.3-(-4.2)=20.5
20.5 + 15.9=36.4
Answer:
B. As x approaches negative infinity f(x) approaches positive infinity
Step-by-step explanation:
The given absolute value function is
.
This function has its vertex at (7,-7) and opens upwards.
That means it has a V-shape.
As the values of x grows bigger and bigger negatively or positively, the function f(x) approaches positive infinity.
In other words;
As x approaches positive infinity f(x) approaches positive infinity
As x approaches negative infinity f(x) approaches positive infinity
The correct choice is B.
Answer:
Step-by-step explanation:
In order to answer this problem, let us assume that x is the number of hours (the independent variable) and y is the score obtained (the dependent variable). The value 65.8 is the y-intercept which means that we will get y = 65.8 if x is equal to zero. This means that 65.8 is the score that one can get if he does not study at all.
Answer:
The height = 18 inches
Step-by-step explanation:
The volume = area of the base × height
Area of the base = 40.5 inches²
The volume = 729 inches³
729 = 40.5 × height
Height = 729 ÷ 40.5 = 18 inches