Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
×=2
Answer:
The candle has a radius of 8 centimeters and 16 centimeters and uses an amount of approximately 1206.372 square centimeters.
Step-by-step explanation:
The volume (), in cubic centimeters, and surface area (), in square centimeters, formulas for the candle are described below:
(1)
(2)
Where:
- Radius, in centimeters.
- Height, in centimeters.
By (1) we have an expression of the height in terms of the volume and the radius of the candle:
By substitution in (2) we get the following formula:
Then, we derive the formulas for the First and Second Derivative Tests:
First Derivative Test
There is just one result, since volume is a positive variable.
Second Derivative Test
If :
(which means that the critical value leads to a minimum)
If we know that , then the dimensions for the minimum amount of plastic are:
And the amount of plastic needed to cover the outside of the candle for packaging is:
The candle has a radius of 8 centimeters and 16 centimeters and uses an amount of approximately 1206.372 square centimeters.
One yard is 3 feet. So 34 feet would be 11 yards and 1 foot.
Answer:
Han's mixture, Claire's mixture
Step-by-step explanation:
I figured out the percentage of orange juice for each person's mixture:
For Claire:
2 1/2 + 1/3 = 2 5/6
2 5/6 as a decimal: about 2.8
Now find what percent of Claire's total mixture was orange juice:
100 * 1/3 / 2.8 = about 11.9%
For Han:
1 2/3 + 1/4 = 1 11/12
1 11/12 as a decimal: about 1.9
Now find what percent of Han's total mixture was orange juice:
100 * 1/4 / 1.9 = 13.2%
So, Han's mixture is stronger, since his has the higher percentage of orange juice concentrate
Answer:
V=3926.99 liters
Step-by-step explanation:
cylindrical Is half full of oil The cylinder Has a base radius of 100 cm The height of the cylinder 250cm 1 litres = 1000cm3 How many litres of oil are in the tank?
Volume of a cylinder can be calculated using below formula
V=π r^2 h
Where r= radius
h= height
radius = 100 cm
h=250cm
But the cylinder is half filled, then the formula becomes
V=(π r^2 h) × 1/2
Then substitute the values we have
V=( π × 100^2 ×250) × 1/2
V=3926990 cm^3
But 1 litres = 1000cm3
Then V=(3926990 cm^3)/ 1000
V=3926.99 liters