Answer:
y = -1/2x+4
Step-by-step explanation:
y = 2x-1
This equation is in slope intercept form y = mx+b where m is the slope
m=2
A line perpendicular will have a slope that is the negative reciprocal
m = -1/2
Using the slope intercept form
y = mx+b
y = -1/2x+b
and the point given (2,3)
3 = -1/2(2)+b
3 = -1+b
4 =b
y = -1/2x+4 is the equation of a line that is perpendicular to the original line and contains (2,3)
Answer:
This means that the correct initial value problem for the population p(t) as a function of time is is 
Step-by-step explanation:
The population of a town increases at a rate proportional to its population:
This means that this situation is modeled by the following differential equation:
In which k is the growth rate.
By separation of variables, the solution is given by:
In which P(0) is the initial population.
Initial population of 1000.
This means that the correct initial value problem for the population p(t) as a function of time is is
Box Plot has less variability in the data. We can determine this by the distances between the beginning of the data to the end (range) and the distances between lower quartile and the upper quartile (interquartile range).
Box #1
Range - 30
IQR - 15
Box #2
Range - approximately 23
IQR - approximately 9
Box #2 has less variation in the data because the distances between these 2 ranges are smaller meaning the data is closer together.
0.25q + 0.1d = 4.95
d = 3q
0.25q + 0.1(3q) = 4.95
0.25q + 0.3q = 4.95
<u>0.55q</u> = <u>4.95</u>
0.55 0.55
q = 9
0.25(9) + 0.1d = 4.95
2.25 + 0.1d = 4.95
<u>- 2.25 - 2.25</u>
<u>0.1d</u> = <u>2.7</u>
0.1 0.1
d = 27
Answer is 990
I hope It is the right answer
