Answer:
Step-by-step explanation:
a. This is a decay function, since the final value (A) gets smaller and smaller as the days pass by.
b. The bacteria is decreasing by 75% per day exponentially.
c. In order to calculate the amount of bacteria in a week we simply substitute the variable t for 7 (7 days in a week) and solve for A
A = 200(0.75)^7
A = 26.7 bacteria after 1 week
d. In order to calculate this we need to substitute the variable A with 100 and solve for t
100 = 200(0.75)^t ... divide both side by 200
0.5 = 0.75^t
= t
2.4 = t
It will be half the initial amount after 2.4 days.
The number of people who took ride in the big ferris wheel at a fair can be calculated by proper dimensional analysis. This can be done through the equation below,
n = (number of minutes)(rate at which the chair passes the exit platform)(number of persons per chair)
Substituting the known values to the equation,
n = (30 minutes)(1 chair / minute)(2 persons / chair)
n = 60 persons
Answer: 60 persons
9514 1404 393
Answer:
about 3.25 feet
Step-by-step explanation:
The relevant trig relationship is ...
Sin = Opposite/Hypotenuse
sin(24°) = height/(8 ft)
height = (8 ft)sin(24°) ≈ 3.254 ft
The slide is about 3.25 feet high.
Answer:
Step-by-step explanation:
Since this is not factorable, let's just complete the square:
Answer:
y = 2x - 4 (the slope is 2 or 2/1 and the y-intercept is -4)
Step-by-step explanation:
Subtract 14x from both sides of the equation.
This should get you -7y = 28 - 14x.
Then you need to divide by -7 on both sides.
y = -4 + 2x is the result
which you can switch around if you like and get y = 2x - 4
