6 hours Zoey can expect from the tablet on a full battery charge if the battery dropped by 33%, from 100% to 67%.
<h3>What is percentage?</h3>
It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
We have:
Zoey wants to use her computer tablet throughout a 6-hour flight. Upon takeoff, she uses the tablet for 2 hours and notices that the battery dropped by 33%, from 100% to 67%.
Let's suppose x hours Zoey can expect from the tablet on a full battery charge.
The value of x can be calculated using:
x = (2×100)/33
x = 200/33
x = 6.06 ≈ 6 hours
Thus, 6 hours Zoey can expect from the tablet on a full battery charge if the battery dropped by 33%, from 100% to 67%.
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The answer would be 44.7 not 44.5
The y intercept is 3
You can also say that the y intercept is at (0,3) which is a more detailed answer. However saying "y intercept is 3" is sufficient enough because the x coordinate of the y intercept is always x = 0.
The y intercept is the location where the graph crosses or touches the y axis. This is at the halfway point between the 2 and 4, so (2+4)/2 = 6/2 = 3
Answer:
Attached please find answer
Step-by-step explanation:
= (x² + x - 42) / (x - 6)
= [x² + (7x - 6x) - 42] / (x - 6)
= [x² + 7x - 6x - 42] / (x - 6)
= [(x² + 7x) - (6x + 42)] / (x - 6)
= [x(x + 7) - 6(x + 7)] / (x - 6)
= [(x + 7)(x - 6)] / (x - 6)
= x + 7 → when x approches 6
= 6 + 7
= 13
Other method:
Lim (x² + x - 42) / (x - 6)
x→ 6
When x → 6, there is an indeterminate expression because: 6 - 6 = 0
Do you know the l'Hôpital's rule, when x → a:
Lim [ f(x) / g(x) ] = Lim [ f'(x) / g'(x) ]
f(x) = x² + x - 42
f'(x) = 2x + 1
g(x) = x - 6
g'(x) = 1
= f'(x) / g'(x)
= (2x + 1)/1
= 2x + 1 → when x approches 6
= 12 + 1
= 13
Volume of cylinder is 3 times of volume of cone having same base diameter and same height.
<u>Solution:</u>
Given that
A cylinder and A cone have the same diameter = 10 inches and same height = 12 inches
Need to find the relationship between volume of cylinder and cone.
Let’s calculate volume of each object separately first.
<em><u>Calculation of volume of cylinder :</u></em>
Formula of volume of cylinder is given as:

Where π=3.14

height h = 12 inches
On substituting given values in formula of cylinder we get

<em><u>Calculation of volume of cone:</u></em>
Formula of volume of cone is given as:

Here π=3.14

On substituting given values in formula of cone we get


On comparing the two volumes we get

Hence can conclude that Volume of cylinder is 3 times of volume of cone having same base diameter and same height.