We are given with
v1 = 5.5 km/hr
v2 = 4.5 km/hr
d = 10 km
v3 = 30 km/hr
The total time the fly was flying back and forth is
5.5t + 4.5t - 10
t = 1 hr
The total distance traveled by the fly is
d = 30 (1) = 30 km
Since we know f(x)=11 all we need to do is substitute and solve. so
11=-2x+3 subtract 3 from both sides
8=-2x divide both sides by -2
-4=x
sub back in to check
-2(-4)+3=8+3=11 looks good
Use PEMDAS method to execute operations in the following order:
- Parentheses
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
First equation:
12 + (38 - 18)2 = 12 + 20 × 2 = 52
Second equation:
(12)2 - 6(2 - 23) = 24 - 6(-21) = 24 + 126 = 150
Hope this helps.
Answer:
The top of the ladder is now at 10 ft.
Step-by-step explanation:
At the start, we have a height H=6, a length L=10 and a base B, that has to be calculated by the Pythagorean theorem:
The base is moved twice the distance the height moves up.
We called this distance x, so we have:
The new height (H+x) is
The base travels 2x=8, so the new base B' is 0.
This means that the ladder is all against the wall (L=H').
The revenue is given by the unit price * number of units.
Profit = Revenue - Cost = 200x - 500,000 - 80x - 0.003x^2 = 120x - 500,000 - 0.003x^2
For profit to be maximum dP/dx = 0
120 - 0.006x = 0
x = 120/0.006 = 20,000
Therefore, to maximize profit, the firm should produce 20,000 penicillin.
