Which of these illustrates the associative property of multiplication?
2 answers:
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Answer:
Let total number of dog and cat population in animal shelter be x.
As per the statement:
An animal shelter has 9 puppies.
⇒ Total number of puppies = 9
It is also given that if the puppies are 36% of the total dog and cat population.
⇒
or
By cross multiply we get;
Divide both sides by 36 we get;
Therefore, total number of dogs and cat population in animal shelter are 25
Answer:
V = 1/6 cubic units
Step-by-step explanation:
Applying the concept of integrals for volume calculation:
(1)
V = volume of the solid bounded by x = a and x = b
S(x) = cross section area of the solid, perpendicular to the x axis
From the figure we have that S is the area of a triangle that has base Z and height Y
Area of the triangle = (2)
Calculation of y(x) and z(x)
We apply the equation of the point-slope line (plane xy):
Slope = (3)
Equation of the line = (4)
Replacing the points (1,0) and (0,1) in (3):
Replacing the point (1,0) and m = -1 in (4):
y(x) = -x + 1 (Line A-B) (5)
We apply the equation of the point-slope line (plane xz):
Slope = (6)
Equation of the line = (7)
Replacing the points (1,0) and (0,1) in (6):
Replacing the point (1,0) and m = -1 in (7):
z(x) = -x + 1 (Line A-C) (8)
Replacing (5) and (8) in (2)
(9)
Replacing (9) in (1) and knowing that a = 0 and b = 1:
evaluated from x=0 to x=1
