To write 3482000000 in scientific notation. Put down the first number (3) and all numbers that come after it (not 0) put after a decimal point. Then count all of the numbers after the decimal points including 0's and that's your exponent. Like so,
3.482*10^9
Hope this helps!=)
Step-by-step explanation:
so, yes, the area of a triangle is
baseline × height / 2
so, we have here
16 = 8 × height / 2 = 4 × height
height = 16/4 = 4 in.
Answer:
P = 6200 / (1 + 5.2e^(0.0013t))
increases the fastest
Step-by-step explanation:
dP/dt = 0.0013 P (1 − P/6200)
Separate the variables.
dP / [P (1 − P/6200)] = 0.0013 dt
Multiply the left side by 6200 / 6200.
6200 dP / [P (6200 − P)] = 0.0013 dt
Factor P from the denominator.
6200 dP / [P² (6200/P − 1)] = 0.0013 dt
(6200/P²) dP / (6200/P − 1) = 0.0013 dt
Integrate.
ln│6200/P − 1│= 0.0013t + C
Solve for P.
6200/P − 1 = Ce^(0.0013t)
6200/P = 1 + Ce^(0.0013t)
P = 6200 / (1 + Ce^(0.0013t))
At t = 0, P = 1000.
1000 = 6200 / (1 + C)
1 + C = 6.2
C = 5.2
P = 6200 / (1 + 5.2e^(0.0013t))
You need to change the exponent from negative to positive.
The inflection points are where the population increases the fastest.
Answer:
Each person get less than 1 cup of cider.
Step-by-step explanation:
1. Calculate the amount of cider served to each person:
Total amount of cider is 48 fluid ounces
Gus serves 7 people
Let Q the amouunt of cider served to each person:
Then, each person recived 6.85 fluid ounces of spiced cider.
2. Calculate the number of cups served:
Considering that 1 cup=8 fluid ounces, then:
That means that each person recived 0.85 cups of spiced cider.
Each person get less than 1 cup of cider.
