Answer:
Event D
Step-by-step explanation:
Complementary events are those events that are opposites of each other. i.e. in this case the complementary event for choosing a green marble is not choosing a green. It has nothing to do with choosing or not choosing marbles of colors other than green.
Answer:
Step-by-step explanation:
Charging by the quarter mile is for purpose of making that particular taxi service seem cheaper than the others when they post a per mile charge. If this taxi company is charging .50 per 1/4 mile, they are charging $2 per mile. So we will base our equation on the per mile charge, not the per quarter-mile charge. If x is the number of mile driven (our uknown), and we have a flat fee of $2.50 regardless of how many miles we are driven, the cost function in terms of miles is
C(x) = 2x + 2.50
If we are driven 5 miles, then
C(5) = 2(5) + 2.50 so
C(5) = 10 + 2.50 and
C(5) = $12.50
It would cost $12.50 to be driven 5 miles
Answer:
the maximum concentration of the antibiotic during the first 12 hours is 1.185 
at t= 2 hours.
Step-by-step explanation:
We are given the following information:
After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled by the function where the time t is measured in hours and C is measured in
Thus, we are given the time interval [0,12] for t.
- We can apply the first derivative test, to know the absolute maximum value because we have a closed interval for t.
- The first derivative test focusing on a particular point. If the function switches or changes from increasing to decreasing at the point, then the function will achieve a highest value at that point.
First, we differentiate C(t) with respect to t, to get,
Equating the first derivative to zero, we get,
Solving, we get,
At t = 0
At t = 2
At t = 12
Thus, the maximum concentration of the antibiotic during the first 12 hours is 1.185 at t= 2 hours.
Answer:
63 Lights
Step-by-step explanation:
First you can convert the feet to inches:
The length of decorative lights is 264 inches
You can then subtract 16 from 264
264 - 16 = 248
248/4 = 62
Adding one extra light at the end of the string of decorative lights you can get 63 lights on the string
Answer:
Step-by-step explanation:
let's break down 2,000,000 into its multiples,
Multiples of 2,000,000= 2⁷ × 5⁶
Using above values to find different combinations of length(l) and breadth (b) of rectangle and corresponding parameter of rectangle
- l=5, b=400,000 ,parameter= 2(5) + 2(400,000)= 800,010, total length of fence required= parameter+ side with shortest length= 800,015
- l=2 b=1,000,000 parameter= 2,000,004, shortest fence required= 2,000,008
- l=4, b= 500,000 parameter= 1,000,008, shortest fence required= 1,000,012
- From above, we can see a trend that the parameter of rectangle decreases if length and breadth are increased provided that area is constant. So, a rectangle will have shortest parameter if all of its sides are equal.
- length of side of rectangle with shortest possible parameter= 2^3 ×5^3= 1000 and breadth of side of rectangle with shortest possible parameter= 2^4× 5^3=2000
- Shortest possible length of fence= 2(2000)+2(1000)+1000=7000ft
