Answer:
t=3.5 seconds
Step-by-step explanation:
Given
h(t) = −16t^2 + 111t + 0
h'(t)= -32t + 111
Maximum height occurs when h(t) = 0 and the ball begins to fall
h(t)= -32t + 111=0
-32t + 111=0
-32t=-111
Divide both sides by -32
t=3.46872
Approximately, t=3.5 seconds
Recall,
Maximum height occurs when h(t) = 0
h(t)= -32t + 111=0
= -32(3.46872)+111
= -110.99904+111
= 0.00096 ft
Since this culture of bacteria obeys the law of uninhibited growth. Given that 500 bacteria are present initially, and there are 800 after 1 hour, a growth rate of 0.470003629246 (k value) has been calculated. <span>5243 </span>will be present after 5 hours.
First, we need to know how much the car depreciates each year. Multiply the price of the car by the percentage.
We can turn 9% into a decimal by moving the decimal point two places to the right.
9% = .09
24500 * .09 = 2205
Multiply the product by the amount of years you want to predict the price at.
2205 * 10 = 22050
Subtract that from the original price of the car.
24500 - 22050 = 2450
The value of a 10 year old car that costs $24500 and depreciates 9% every year will cost $2450.
Answer:
k = 0.25
Step-by-step explanation:
The standard equation of a proportional relationship is
y = kx ← k is the constant of proportion
y = 0.25x ← is in this form
with k = 0.25
C^2 = a^2 + b^2
c^2 = 3.4^2 + 2.6^2
c^2 = 11.56 + 6.76
c^2 = 18.32
c = 4.3
answer
c = 4.3
