The estimate for the total number of bees in her hive is 190 bees
<h3>How to find the total estimate of the bees ?</h3>
She catches 90 of the bees on Monday and she puts mark on each bees and return them to her hive.
On Tuesday she catches 120 of the bees. She find out that 20 of the bees has been marked.
This means only 100 bees have not been marked on Tuesday.
Therefore, the total number of bee in her hives is as follows:
total number = 90 + (120 - 20)
total number = 90 + 100
total number = 190 bees
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Answer: f(x) = 8x -1
Step-by-step explanation:
( f + g )x = 3x + 5x + 8 - 9
( f + g)x = 8x - 1
Answer:
4180 to 5230$
Step-by-step explanation:
1. Lets find the expenses she has to make -> 4*90+660=1020$(4 new tires + other expenses)
2. As her income is not set strictly we can guess the range she can save(More accurate calculations depends on her strict incomes). We have 5200-1020=4180$(if she gets paid 5200$) and 6250-1020= 5230$(if she gets paid 6250$).
3. So the range of savings vary from 4180 to 5230$$.
(1-cos^2(x)) csc^2(x)=1
one of the trigonometry rules is sin^2(x) + cos^2(x) = 1 if you rearrange this you realize that sin^2= 1-cos^2(x)
we also know that csc^2(x)= 1/sin^2(x) so now you can rewrite your equation as:
sin^2(x) x 1/sin^2(x) = 1
sin^2(x)/sin^2(x) =1
the LHS (left hand side) can cancel down to 1 because the numerator and denominator are the same
so then 1=1 Therefore LHS=RHS
Hope this helps
