Answer:
C
Step-by-step explanation:
Mae, Elsa, Rodley, Cristina, Christian
Answer:
input is your hours
output is your money
domain is all numbers greater than/equal to 0
range is any number greater than/equal to the amount of money you make per hr
Andrew’s total wages are a function of the number of hours he works. The input of this function is the total number of hours worked. The output is the total wages earned.
The domain is the number of hours that Andrew can work in a week. A week has 168 hours. He works for 30 hours regularly. So, the domain is D = {30, 31, 32, … , 168}.
Of course, it is unrealistic to expect Andrew to work 24 hours a day for an entire week. 168 simply represents the total possible hours to work.
The range is the money Andrew can make working his usual 30 hours plus any extra hours at $5 per hour: R = {120, 125, 130, ... , 810}.
Answer:
Step-by-step explanation:
Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have
Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising
P(0) = 0 and P(50) = 1,500,000
We have and ordinary differential equation of first order that we can write
The integrating factor is
Multiplying both sides of the equation by the integrating factor
Hence
Integrating both sides
But P(0) = 0, so C = -3,000,000
and P(50) = 1,500,000
so
And the equation that models the number of people (in millions) who become aware of the product by time t is
40 POINTS
The coordinates of point C are (1, 24/5).
We are given that;
Point A(−2, 6) and point B(3, 4)
Now,
The shortest distance (length of the straight line segment's length connecting both given points) between points (p,q) and (x,y) is:
Let’s first find the distance between A and B using the distance formula:
AB =
Now find the coordinates of point C. Since AC:CB is 2:3, we can write:
AC/CB = 2/3
AC = (2/5) * AB
CB = (3/5) * AB
Let assume that point C has coordinates (x, y). Then we can write:
x = (3/5)3 + (2/5)(-2) = 9/5 - 4/5 = 1
y = (3/5)*4 + (2/5)*6 = 12/5 + 12/5 = 24/5
Therefore, by the distance answer will be (1, 24/5).
Learn more about distance between two points here:
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Answer:
8.4
Step-by-step explanation: