There were 45 questions on the test. Hope this helps! <3
You divide the numbers by 5 so the fraction will be 5/6
Step-by-step explanation:
To get the inverse, swap the x- and y-variables, then solve for y. We should have the equation: 
Solving for y:
because 
or 
So on interchanging the variable, we get the equation:
The domain is the x value: (-3)
The range are the y values: (0, 1, 2, 3) in order from least to greatest
No this is not a function because that value of x is "reused". You can "reuse" a y value with different x values but you can't reuse an x value ever, even if the y's are different. x's cannot be the same
Answer: the height of the water after the sphere is placed in
it is 33.33 cm
Step-by-step explanation:
The cylinder is called a right circular cylinder because its height make a right angle with its base. The formula for determining the volume of the cylinder is expressed as
Volume = πr^2h
Where
π is a constant whose value is 3.14
r represents the radius of the cylinder.
h represents the height of the cylinder.
From the information given,
r = 10 cm
h = height of water in the cylinder = 20 cm
Volume of water in the cylinder before the sphere was placed in it would be
V = 3.14 × 10^2 × 20 = 6280 cm^3
The formula for determining the volume of the sphere is expressed as
Volume = 4/3 πr^3
V = 4/3 × 3.14 × 10^3 = 4186.67cm^3
Total volume of the sphere and the cylinder = 6280 + 4186.67 = 10466.67 cm^2
To determine the new height of the water,
10466.67 = 3.14 × 10^2× h
h = 10466.67/314 = 33.33 cm
