Answer:
A
Step-by-step explanation:
A graph that represents a proportional relationship usually has the line cutting through the line of origin (0, 0).
The graph in option A does not have the line passing through the point of origin (0, 0), therefore, it does not represent a proportional relationship.
For an equation that represents a proportional relationship, it is written in the form of y = kx
Where, k is the constant of proportionality.
Therefore, the two equations given represents a proportional relationship.
23/4 miles is as much as 5 3/4 miles. We can also write it as a decimal, because 5 3/4 = 5,75 miles.
If Ammar hikes 5,75 miles in 1 1/4 hour, then we need to find out what distance does he hike in 1/4 hour (15 minutes). To do that we can just divide 5,75 by 5 (because dividing 1 1/4 by 5 will give us 1/4 we're looking for).
5,75 / 5 = 1,15
It means that in one hour Ammar hikes 5,75 - 1,15 = 4,6 miles.
We can also write it as a fraction:
4,6 = 4 6/10 = 4 3/5 = 23/5 miles
Just pick whichever form you like :)
The value of k will be 3 if the function is transformed by compression factor of 3
Step-by-step explanation:
The horizontal stretch or compression for a function f(x) is given by g = f(bx) where b is a constant. If b> 0 then the graph of function is compressed.
As it is given in the question that he function is transformed by a compression factor of 3.
Given function
The value of k will be 3 if the function is transformed by compression factor of 3
Keywords: Functions, Transformation
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Answer:
= 3052.08 cm^3
Step-by-step explanation:
Volume of a sphere is given by
V = 4/3 pi r^3
We know the diameter is 18
d = 2r
18 = 2r
Divide each side by 2
18/2 =2r/2
9 =r
V = 4/3 pi 9^3
V = 4/3 pi (729)
V = 972 pi
Approximating pi by 3.14
V =972 (3.14)
= 3052.08 cm^3
