Answer:
The answer is shown below
Step-by-step explanation:
Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1−y that has not yet heard the rumor.
a)

where k is the constant of proportionality, dy/dt = rate at which the rumor spreads
b)


At t = 2, y = 40% = 0.4
c) At y = 75% = 0.75

Answer:
b
Step-by-step explanation:
k
If the decimal is in the tenths then the denominator would be like 10. Ex: Decimal: 0.2 Fraction- 2/10. and the same with hundredths, thousandths, etc.
PT = 15, and TB = 10
Take the 15 from PT, and add the 10 from TB. Which equals 25.
PB = 25
So, 25 is your answer.
Hope this helps! ☺
Answer: f(-3) = 278, f(-4) = 232
Step-by-step explanation:
f(x) = 4x³ - 6x² - 144x + 8
f(-3) = 4(-3)³ - 6(-3)² - 144(-3) + 8
f(-3) = 4(-27) - 6(9) - 144(-3) + 8
f(-3) = 278
f(-4) = 4(-4)³ - 6(-4)² - 144(-4) + 8
f(-4) = 4(-64) - 6(16) - 144(-4) + 8
f(-4) = 232