Answer:
y = 7.5
Step-by-step explanation:
given y is directly proportional to
then the equation relating them is
y = k
← k is the constant of proportion
to find k use the condition y = 75 , x = 100 , then
75 = k
= 10k ( divide both sides by 10 )
7.5 = k
y = 7.5
← equation of proportion
Answer: D
Step-by-step explanation:
The given functions are
Now these are exponential curves and the bases for the functions are 3.5 & 1.5
Also the graph of g(x) is between f(x) & h(x)
Hence the value of base called the scale factor must be between 3.5 & 1.5.
4 & 5 are more than 3.5
0.9 is smaller than 1.5
But π = 3.14 lies between 3.5 & 1.5.
Hence the only option which can represent the graph of g(x) is
Option D) is the right answer
Step-by-step explanation:
A can is a cylinder.
Volume of a can = Volume of Cylinder

Given Radius = 3.2 inches and height = 15 inches,
Volume of one olive oil can =

Volume of 5 olive oil cans = 5 x volume of one olive can

I will just leave the answer in terms of pi as I'm not sure if you need to round off your answers.
Answer:
x = 64°
Step-by-step explanation:
180° in half a circle or a line.
There is also 180° in a triangle.
So the other 2 angles of the triangle equal x.
34° + 30° = 64°