Answer:
O
Step-by-step explanation:
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.
To find Emma's profit, you will calculate her cost for all the items and the amount of money she collected when she resold the items.
Subtract the two amounts to find her profit or how much money she made when she sold them.
Amount Emma paid: (2 x 35) + (3 x 75) + (5 x 4) = $315
Amount the items sold for: (2 x 65) + (3 x 136) + (5 x 15) = $613
$613 - $315 = $298
Emma made $298 in profit on her items.
Answer:
The distance between Shawna's Home and Rochester is 228 mi and takes her 6 hr to make the drive.
Step-by-step explanation:
<u>Known Data</u>
Final distance is the same for both , but for Terrence , due he didn't arrive for 56 mi
Initial distance is the same for both
Shawna's Velocity , and time
Terrence's Velocity , and time, as he starts 2hr later
<u>Formula</u>
, for both cases
<u>Equation System</u>
Shawna: or (1)
Terrence: , , and finally (2)
By solving this equation system (1) and (2), using any method, we obtain and .