Answer:
the nth term of the sequence is 3n+5.
now, 5th term=5×3+5=20
6th term = 6×3+5=23
is your answer...
The solution for r in the given equation is r = √[(3x)/(pi h)(m)]
<h3>How to determine the solution of r in the equation?</h3>
The equation is given as:
m = (3x)/(pi r^(2)h)
Multiply both sides of the equation by (pi r^2h)
So, we have:
(pi r^(2)h) * m = (3x)/(pi r^(2)h) * (pi r^(2)h)
Evaluate the product in the above equation
So, we have:
(pi r^(2)h) * m = (3x)
Divide both sides of the equation by (pi h)(m)
So, we have:
(pi r^(2)h) * m/(pi h)(m) = (3x)/(pi h)(m)
Evaluate the quotient in the above equation
So, we have:
r^(2) = (3x)/(pi h)(m)
Take the square root of both sides in the above equation
So, we have:
√r^(2) = √[(3x)/(pi h)(m)]
Evaluate the square root of both sides in the above equation
So, we have:
r = √[(3x)/(pi h)(m)]
Hence, the solution for r in the given equation is r = √[(3x)/(pi h)(m)]
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Answer:
B. y=x²-x-6
Step-by-step explanation:
Consider the product ...
0 = (x -a)(x -b) = x² -(a+b)x +ab
This equation has solutions x=a and x=b. You will note that ...
- the constant is the product of the solutions (ab)
- the coefficient of x is the opposite of their sum (-(a+b))
For solutions of -2 and 3, the constant will be (-2)(3) = -6. This eliminates choices C and D.
The sum of the solutions is -2+3 = 1, so the coefficient of x is -1, matching choice B.
Answer:
You make $270 every two weeks. Since you pay rent on the first of every month you will have made two paychecks which would equal out to $540.00 a month.. apartments usually run $700 or more a month... So sorry man, you cant afford an apartment. however, you might be able to find one that cheap, but its very very very rare. You will also not be able to afford food or any bills that will come your way..
Step-by-step explanation:
I think it would be <span>51 and 1/3, but I'm not sure</span>