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Cloud [144]
3 years ago
9

Find the limit of (lnx)³/x as x approaches infinity.

Mathematics
1 answer:
EastWind [94]3 years ago
5 0
Ok, so one way is like your way

so
if we test some numbers
for x=10
we get about 12.3/10≈1.2
for x=100000
we get 1522.03/100000≈0.01522
the top number keeps getting smaller reletive to bottom number
when x=1000000000
we get 8899.68/1000000000≈0.000009

we notice the bottom number is increaseing at a faster rate that the botom one
when x approaches infinity,the bottom number will be so big it will become a fraction that evaluates to basically zero becuase it evaluates to a very small number that is negligible
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Yesterday, 20 employees in an office were absent. If these absentees constitute
Oduvanchick [21]
The total number of employees are 80. I know that because 25 is quarter of 100 and if 20 employees are 25%, all I need to do is 20*4 which is 80. Hope this helped!
3 0
3 years ago
Ella is a landscape photographer. One weekend at her gallery she sells a total of 52 prints for a total of $2,975. A small paint
rosijanka [135]
<h2>Answer:37 paintings of $50 and 15 paintings of $75</h2>

Step-by-step explanation:

Let x be the number of paintings Ella sells for $50.

Let y be the number of paintings Ella sells for $75.

Profit made through $50 paintings is 50x

Profit made through $75 paintings is 75y

So,total profit is given by 50x+75y

It is given that total profit is $2975

So,50x+75y=2975      ..(i)

Given that the total number of prints is 52

So,x+y=52      ..(ii)

using (i) and (ii),

50x+75(52-x)=2975\\50x+3900-75x=2975\\25x=925\\x=37

y=52-x=52-37=15

7 0
3 years ago
Read 2 more answers
B is the midpoint of AC. If AB= X +5 and BC = 2X -11, find the measure of AB
Murljashka [212]
First, you know that B is the mid point, meaning AB is equal to BC. Therefore, you can set up the equation: x+5=2x-11. Then, you solve for x. Once you are done solving, you should get 16. Hope this helps!
5 0
3 years ago
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Find a area of a circumference that is 13 ft for 3.14 π
Elena-2011 [213]

Answer:

4.14x3.14=12.9996

Step-by-step explanation:

This is the closest to 13 ft via circumference

Here is a few equations a dn formulas to remind you.

Area=3.14xRxR or Pi*rr

This is Pi times the radius times the radius.

The radius is half of the circle or half of the Diameter.

Area(semi-circle)=1/2x3.14xrxr

Circumfrence=3.14xDor 3.14xdiameter

<u><em>If this answer helped pls give brainlest.</em></u>

8 0
2 years ago
I need help fast please <br><br>Solve this and show steps <br><br>4.5×8-(0.4+9.6-(3.6-1.8))<br>​
valentina_108 [34]

Answer:

27.8

Step-by-step explanation:

You need to do brackets first

3.6-1.8 = 1.8

Then substitute

4.5 x 8- (0.4 + 9.6- 1.8)

0.4+9.6-1.8=8.2

4.5 x 8 - 8.2 =27.8

7 0
2 years ago
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