Answer:
5 days
Step-by-step explanation:
This questions involves ratios, the job with 30 men can be done in 15 days, so the ratio from amount of men to amount of days the job will take to complete, it is 30:15. If we had 10 men instead of 30, 10 is one-third of 30, so you have to divide by 3 on each side of the ratio to get your answer.
If we do that we get the ratio 10:5.
Meaning that the 5 is the amount of days needed to be taken in order the complete the job.
Hope this helps!
The coefficient of (3y² + 9)5 is <u>15</u>.
A polynomial is of the form a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ.
Here, x is the variable, aₙ is the constant term, and a₀, a₁, a₂, ..., and aₙ₋₁, are the coefficients.
a₀ is the leading coefficient.
In the question, we are asked to identify the coefficient of (3y² + 9)5.
First, we expand the given expression:
(3y² + 9)5
= 15y² + 45.
Comparing this to the standard form of a polynomial, a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ, we can say that y is the variable, 15 is the coefficient, and 45 is the constant term.
Thus, the coefficient of (3y² + 9)5 is <u>15</u>.
Learn more about the coefficients of a polynomial at
brainly.com/question/9071229
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As

, the sequence

converges to zero.
If you're talking about the infinite series

well we've shown by comparison that this series must also converge because we know any geometric series

will converge as long as

.
Answer:
6
Step-by-step explanation: