Answer:
The slope of the line is 4.
Step-by-step explanation:
when the points given are and
Plug the given points (1,12) and (2,16) into the equation
I hope this helps!
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.
Answer:
the bottom one
Step-by-step explanation:
Step-by-step explanation:
→ 2x/3 + 2 = 10
→ 2x/3 = 10 - 2 = 8
→ 2x = 8×3 = 24
→ x = 24/2 = 12
→ x = 12
<em>hope </em><em>this</em><em> answer</em><em> helps</em><em> you</em><em> dear</em><em>.</em><em>.</em><em>.</em><em>may </em><em>u </em><em>have</em><em> a</em><em> great</em><em> day</em><em> ahead</em><em>.</em><em>.</em><em>.</em><em>take </em><em>care!</em>
Here is an example,
<span>The ratio of boys to girls in the class was 4:5. There were 24 people in the class. How many boys? How many girls?
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4:5 is the same as 4x:5x where 4x is # of boys and 5x is # of girls.
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Equation:
4x+5x = 24
9x = 24
x = 24/9
</span>