Answer:
Slope of the parallel line = -5/2
Slope of the perpendicular line = 2/5
Explanations:
The given equation of the line is:
The slope-intercept form of the equation of a line is:
y = mx + c
where m is the slope of the line
and c is the y-intercept
Comparing this to the given equation
m = -5/2
c = 9
Note:
When two equations are parallel, they have equal slope
When two equations are perpendicular, the product of their slopes equals -1, that is slope of the perpendicular line = -1/m
The slope of the parallel line = -5/2
The slope of the perpendicular line = -1 ÷ (-5/2)
The slope of the perpendicular line = -1 x (-2/5)
The slope of the perpendicular line = 2 / 5
Answer:
x = 250 units
Step-by-step explanation:
We can easily solve this problem by using a graphing calculator or any plotting tool.
We must find the minimum point in the graph. This corresponds to the number of machines that produce the minimum cost.
The equation is
C (x) = 1.2x^2 -600x + 89,966
Please see attached image below
By producing x = 250 units, we obtain the minimum cost
Answer:
Probability = 0.0288
Step-by-step explanation:
For the first draw.
There are total of 52 cards in a deck of cards and a total of 26 red cards in a deck of cards.
Probability of drawing a red= 26/52
Probability = 0.5
For the second draw. Actually the initial card drawn was replaced. Total number of face cards are 12.
Probability of drawing a face card = 12/52= 0.23076923
For the third draw .
There are 13 diamond cards in total.
Probability of a diamond = 13/52
Probability = 0.25
Probability of red,face, diamond= 0.5*0.23076923*0.25=0.028846
To four decimal place = 0.0288
Around 8$ back. The exact amount would be 7.60$
Answer:
A 1.44 cm cubed
Step-by-step explanation:
Just multiply all the numbers to get the area of the block
