Answer:
x = 3π/2
Step-by-step explanation:
The given equation can be rewritten as a quadratic in sin(x), then solved by factoring.
<h3>Rewrite</h3>
Using the identity ...
cos²x = 1 -sin²x
the equation can be rewritten as ...
sin(x) = -(1 -sin²(x)) -1 . . . . . .substitute for cos²x
<h3>Solution</h3>
The new equation can be solved by considering it a quadratic in sin(x).
0 = sin²(x) -sin(x) -2 . . . . . . subtract sin(x)
(sin(x) -2)(sin(x) +1) = 0 . . . . factor quadratic
The solutions to this are ...
sin(x) -2 = 0 ⇒ sin(x) = 2 . . . . no solutions
sin(x) +1 = 0 ⇒ sin(x) = -1 ⇒ x = 3π/2 (one solution)
Answer:
,
Step-by-step explanation:
,
Answer:
Step-by-step explanation:
This sequence is geometric because while x is going up by 1, the y sequence has a common ratio.
That is, term/previous equals same number per consecutive y terms.
So 1/2=2/4=4/8 is the common ratio.
The first term is when x=1. We can find this y by figuring out what we can multiply to our common ratio, 1/2, to get the next term,8.
Since 8(2)=16, then the first term is 16.
In general,
Or if preferred:
where is first term and is common ratio.
Plug in information:
Each person = 5/7 kg
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Number of people that can share the 10kg of chocolate:
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Answer: 14 can share the chocolate.---------------------------------------------------------
13/5
2 3/5
2x5=10
10+3=13
13/5