6x-6=8x
subtract 6x from both sides
-6=2x
divide both sides by 2
x= -3
Answer:
Best estimate for the bee population is 1280.
Step-by-step explanation:
Randy marked total number of bees = 160
Then he collected 240 bees and observed that number of bees marked
= 30
We have to find the total population of the bee or best estimate for the bee population.
Now we use the ratio of marked bees in the sample vs marked bees in the total population
x = 
Therefore, the best estimate for the bee population is 1280.
Answer:
See below.
Step-by-step explanation:
You differentiate top and bottom of the fraction until substitution gives you a value.
I can do the third one for you:
Lim x --> 0 of sin2x / sin3x
= lim x --> 0 of 2 cos2x / 3 cos 3x
= 2 cos 0 / 3 cos 0
= 2/3.
Limit as x--> 0 of (e^x - (1 - x) / x
= limit as x --> 0 of e^x + x - 1 / x
= lim (e^x + 1) / 1
= 1 + 1 / 1
= 2.
limit as x--> 00 of 3x^2 - 2x + 1/ (2x^2 + 3)
= limit as x --> 00 of 6x - 2 / 4x ( 00 = infinity)
Applying l'hopitals rule again:
limit is 6 / 4 = 3/2.
Limit as x --> 00 of (ln x)^3 / x
= limit 3 (Ln x)^2 ) / x
= limit of 6 ln x / x
= limit 6 / x
= 0.
We had to apply l'hopitals rule 3 times here,
The question doesn’t provide enough information but it would take a minimum of six hours to make at least $40: more specially $42.
<span>1.You should set up the long division.
</span>
2 <span>Calculate 43 ÷ 7, which is 6 with a remainder of 1.
</span>
3 <span>Bring down 1, so that 11 is large enough to be divided by 7.
</span>
4 <span>Calculate 11 ÷ 7, which is 1 with a remainder of 4.
</span>
5 <span>Bring down 8, so that 48 is large enough to be divided by 7.
</span>
6 <span>Calculate 48 ÷ 7, which is 6 with a remainder of 6.
</span>
7 <span>Therefore, 4318 ÷ 7 = 616 with a remainder of 6.
</span><span>
616 with</span> a remainder of 6 or 616.8571
