Answer:
The model for the pollutant levels in the soil t years from the first measurement is:
Step-by-step explanation:
We have a first measurement of 65 parts per million (ppm) of pollutant.
We also know that the pollutant levels were growing exponentially at a rate of 4.5% a year.
We can model this as:
The value of Y0 is the first measurement, that correspond to t=0.
The ratio for the pollutant levels for two consecutive years is 1+0.045=1.045. This can be expressed as the division between Y(t+1) and Y(t), and gives us this equation:
Then, we have the model for the pollutant levels in the soil t years from the first measurement:
Answer:
Step-by-step explanation:
12.)
x = 18
y = 9√3
14.)
x = 16/√2
y = 16/√2
16.)
x = 19
y = 19
Answer: -7 (30h - 11) / 4h
Step-by-step explanation:
Answer:
(x - 1)² + (y + 1/2)² = 65/4
Step-by-step explanation:
Given: the endpoints of the diameter are (3, 3) and (-1, -4). a( To determine the center of this circle, find the midpoint of the line segment connecting these two points:
3 - 1
x = -----------
2
and
-1
y = ----------
2
The center is at x = 1 and y = -1/2: (1, -1/2).
b) The radius is half the diameter. The diameter is the distance between the two endpoints given, that is, the distance between (-1, -4) and (3, 3):
diameter = √(4² + 7²) = √(16 + 49) = √65; therefore,
radius = (1/2)√65.
square of the radius = r² = 65/4
The general equation of a circle with center at (h, k) and radius r is
(x - h)² + (y - k)² = r². In this case, the equation is:
(x - 1)² + (y + 1/2)² = 65/4
3 because Negative numbers equal less than 0. See the number line attached below. In the number line, all the negative numbers are on the left of the zero and all the positive numbers are on the right of the 0.