Answer:
13
Step-by-step explanation:
Replace X with 2
Evaluate the function. g(x) = 3x^2 – 2x + 5 Find f(2)
g(x) = 3(2)^2 – 2(2) + 5
Next conduct PEMDAS
Exponents are first so solve 2^2 which is 2 x 2 = 4
g(x) = 3(4) – 2(2) + 5
Next step is multiplication multiply 3 x 4 and 2x2
g(x) = 12 – 4 + 5
conduct adding and subtracting left from right
g(x) = 13
Answer:
To calculate a break-even point based on units: Divide fixed costs by the revenue per unit minus the variable cost per unit. ...
When determining a break-even point based on sales dollars: Divide the fixed costs by the contribution margin.
Since the triangle is a right triangle at point B, then line AB is perpendicular to line BC.
For perpendicular lines, the product of their slopes is -1.
Slope of AB = (5 - 0)/(2 - 5) = 5/-3 = -5/3
Slope of BC = (y - 5)/(7 - 2) = (y - 5)/5
-5/3(y - 5)/5 = -1
-5(y - 5)/15 = -1
-5(y - 5) = -15
y - 5 = 3
y = 3 + 5 = 8
Therefore, the y-coordinate of point C is 8.
Let D be the endpoint of the angle bisector opposite A on lying on side BC. The angle bisector theorem states that the ratio of BD to CD is equal to the ratio of AB to AC. In this case, you have
(This is the same equation that you have, it's just rearranged.)
Multiply both sides by
and 15.
Now you can solve for
.
The answer is 21.2 ft²
To do this we need to calculate the volume of the cylinder shaped drum.The volume (V) of the cylinder with height h and radius r is:V = π r² h
We have:π = 3.14r = 1.5 fth = 3 ft
Therefore:V = π r² hV = 3.14 * (1.5 ft)² * 3 ftV = 21.2 ft²
here you go
