The general solution of tan(b·x) = 2, given that the smallest positive solution is x = 0.3, is presented as follows;
The given smallest positive solution of tan (b·x) = 2 is x = 0.3
The general solution of tan (b·x + c) = m, is given as follows;
α = arctan(m) = x₀
The minimum positive value of the general solution is therefore presented as follows;
In the given function, tan (b·x), we therefore, have;
c = 0, m = 2, 
The general solution of tan(b·x) = 2, is therefore;
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In order, for row 6 it is yes, no, no, no yes, yes, no, no, no, yes, yes, no, yes
For row 9 it is all no's
For row 10, it is yes, no, no, no, yes, yes, no, no, no, no, no, yes, yes
It is asking you to slice off 40% of the bounce height in each subsequent bounce.
So you start with full height 1, that's n = 0 bounces. Then after n = 1 bounce the new height is .6. After the second bounce, n = 2, the height becomes .6 X .6 = .36. And after n = 3, we have .6 X .6 X .6 = .216
So by induction we see that h(n = 5) = .6^n = .6^5 = 0.07776 = .078 of its original height or H = .078*200 = 15.6 ft. after five bounces. ANS. 16.0 if rounded to the nearest tenth
:)
Answer:
x = - 203
Step-by-step explanation:
(10−523)⋅(−2)+x=823
( - 513) * (-2) + x = 823
1026 + x = 823
x = 823 - 1026
x = - 203
16 oz = 1 lb
4 bags per pound
4*5=20
answer = 20 four ounce bags of peanuts can be filled from a 5 pound bag of peanuts
