Answer:
Step-by-step explanation:
x + 6 = 0
x = -6
-x + 1 = 0
-x = -1
x = 1
x = -6, 1
A I think would be the correct answer
R(x) = 60x - 0.2x^2
The revenue is maximum when the derivative of R(x) = 0.
dR(x)/dx = 60 - 0.4x = 0
0.4x = 60
x = 60/0.4 = 150
Therefore, maximum revenue is 60(150) - 0.2(150)^2 = 9000 - 4500 = $4,500
Maximum revenue is $4,500 and the number of units is 150 units
Answer:
Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.
Step-by-step explanation:
The volume of a hemisphere (
), measured in cubic centimetres, is obtained from this formula:

Where
is the radius of the hemisphere, measured in centimetres.
We know that radius is the half of the diameter (
), measured in centimetres, then:

(
)


Now, we get the volume of each hemispherical bowl:


The total volume of six hemispherical bowl is:



From Physics we know that 1 litre equals 1000 cubic centimetres. Then:

Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.
Answer:
C
Step-by-step explanation:
The circumference (C) of a circle = 2πr ← r is the radius
Given C = 15π the equating gives
2πr = 15π ( divide both sides by 2π )
r =
= 7.5 cm
The area (A) of a circle is calculated using the formula
A = πr² = π × 7.5² = 56.25π cm² → C