One way to test this is by using the equation for Ken on Maureen. Let's say in the first hour,
f(t) = 200(0.976)^1 = 195.2 mg
In the second hour,
f(t) = 200(0.976)^2 = 190.52 mg
In the third hour,
f(t) = 200(0.976)^3 = 186 mg
If you compare this with Maureen's data which is 150, 90 and 54 for the first, second and third hour, respectively, you will see that Maureen's rate is much faster. However, you cannot tell by what factor because the function is exponential, not a multiple. There is no constant difference between their rates. Therefore, we only know that Maureen's rate is much faster.
The answer is <span>Maureen's body eliminated the antibiotic faster than Ken's body.</span>
The time taken to reach train from Zurich to Paris is 8 hours 52 minutes.
Step-by-step explanation:
The given is,
Train leaves Zurich at 22:40
Train arrives Paris at 07:32
Step:1
Time taken to reach from zurich to paris,
= Train leaves at Zurich - Train arrives at Paris
= 22:40 - 07:32
= 8.52 hours
Step:2
Time taken by train to reach from zurich to paris in minutes,
= 8.52 hours
= 4831 minutes 12 secs
Result:
The time taken to reach train from Zurich to Paris is 8 hours 52 minutes, if a train leaves Zurich at 2240 and arrives in Paris at 0732.
(1,-1) and (3,5)
Find slope first
y=mx+b
slope is also m
b is y-intercept
slope = y2-y1/x2-x1
x1=1
x2=3
y1=-1
y2=5
5-(-1)/(3)-(1)
6/2=3
y=3x+b
use (1,-1) into y=3x+b ( using substitution method)
-1=3(1)+b
-1=3+b
Move 3 to the other side
Sign changes from +3 to -3
-1-3+3-3+b
b=-4
Answer: C.) Y = 3x-4
Answer:
image
Step-by-step explanation:
(40 - x) represents A. the number of undamaged cards
Step-by-step explanation:
Step 1; Maria has a total of 40 cards out of which x number of cards are damaged so 40 - x cards are undamaged. The value of an undamaged card is 5 dollars whereas every damaged card has a value of 3 dollars.
Step 2; We need to determine what each term in equation 5(40−x)+3x represents. The equation will give us how much total value Maria's card collection has.
The first term 5 (40 - x) signifies the total value of the undamaged cards in the deck where (40 - x) equals the total number of undamaged cards.
The second term represents the total value of the undamaged cards.
So the second factor of the first term i.e (40 - x) represents the amount of undamaged cards in her collection.