We are concern about the vector (x-x0, y-y0, z-z0)
equaling to 5.
This happens
when √(x-x0)^2 + (y-y0)^2 + (z-z0)^2 = 5
Square
both side:
(x-x0)^2
+ (y-y0)^2 + (z-z0)^2 = 25 , a sphere
Which you will
recognize as a circle of radius one centered at (x0, y0, z0)
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Answer:
Afternoon class has more students.
Step-by-step explanation:
Let m be the number of students in the morning class and n be the number of students in the afternoon class.
The average score for the students in the morning class was 80, then the sum of their scores is 
The average score for the students in the afternoon class was 86, then the sum of their scores is 
The sum of the scores of both classes is
and the average score is
The average (arithmetic mean) score for the two classes combined was 84, then
This means n is greater, so afternoon class has more students.
a. Write the cost function:: C(x) = 100x + 100,000 where x is number of guitars
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b. Write the revenue function:: R(x) = 300x where x is number of guitars
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c. Find the profit function.
Profit = Revenue - Cost
P(x) = R(x) - C(x)
P(x) = [ R(x) ] - [ C(x) ]
P(x) = [ 300x ] - [ 100x+100,000 ]
P(x) = 300x - 100x-100,000
P(x) = 200x - 100,000
The break even point is when the profit is 0 dollars. You don't lose any money. And you don't gain any money.
Solve 125x - 100,000 = 0
125x = 100,000
x = 800 (# of guitars made and sold)
Answer:
y = - 4x
Step-by-step explanation:
The slope-intercept form of a line is y = mx + b. In this case, m is - 4 and no b value is given.
Answer:
So the model should represent either 
or
(its equivalent and simplified form.
Step-by-step explanation:
1) Originally the question wants to represent this quotient as tiles.
So,
We can still simplify it, but since we're dealing with 100 x 100 squares let's keep it this way
2) So the model should represent either or (its equivalent and simplified form.
