<h3>Answer: A. 5/12, 25/12</h3>
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Work Shown:
12*sin(2pi/5*x)+10 = 16
12*sin(2pi/5*x) = 16-10
12*sin(2pi/5*x) = 6
sin(2pi/5*x) = 6/12
sin(2pi/5*x) = 0.5
2pi/5*x = arcsin(0.5)
2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n
2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n
x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)
x = 5/12+5n or x = 25/12+5n
these equations form the set of all solutions. The n is any integer.
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The two smallest positive solutions occur when n = 0, so,
x = 5/12+5n or x = 25/12+5n
x = 5/12+5*0 or x = 25/12+5*0
x = 5/12 or x = 25/12
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Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.
Answer:
The correct answer is:
Between 600 and 700 years (B)
Step-by-step explanation:
At a constant decay rate, the half-life of a radioactive substance is the time taken for the substance to decay to half of its original mass. The formula for radioactive exponential decay is given by:
First, let us calculate the decay constant (k)
Next, let us calculate the half-life as follows:
Therefore the half-life is between 600 and 700 years
Answer:
a c and e hope it helps :D
Step-by-step explanation:
Answer:
Step-by-step explanation:
The inequality equation can be determined by using the concept of arithmetic progression;
a(n) = a₁ + (n-1)d
where;
a(n) = 1000
a = 200
d = 50
The inequality will be:
1000 = 200 + ( n - 1) 50
1000 = 200 + 50n - 50
1000 = 150 + 50 n
1000 - 150 = 50 n
850 = 50 n
n = 850/50
n = 17 months
So, if Ms. Thomas is planning to have more than $1000 in her account, she will need to save for 17 moths before she can buy the phone.
Answer:
you can get flash cards and work with him everyday that's how I got mine
