Answer:
84
Step-by-step explanation:
6 times 7 is 42
42 times 2 is 84
Answer:
The fractional equivalent of the repeating decimal would be 15/99 and 0.1515... is a repeating decimal so it doesn't end, but in the shown number is 4 digits.
Answer:
1. B
2. A
Step-by-step explanation:
1.
10^{-2} means that you move the decimal back two times
B is the only option that represents that correctly.
2.
5 * 10^{4} = 50000
2.5 * 10^{2} = 250
50000/250 = 200
Out of the options, A is the only option in which the equation also equals 200.
Answer:
C) y is equal to 10.5x
Step-by-step explanation:
$31.50 is charged for <em>3 </em>hours so, for 1 hour we need to divide 31.50 by 3, which results in 10.50. So 1 hour of babysitting is $10.50
this is because x is equal to the number of hours they babysit. we do not know the actual so it is replaced with x
and y is equal to the sum of 10.5x because we multiply the number of hours worked, and the amount per hour.
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.
