Answer:
does not exist
Step-by-step explanation:
According to the divergence test, for an infinite series ∑ aₙ, the series diverges if lim(n→∞) aₙ ≠ 0.
Applying the divergence test here:
lim(n→∞) (3n⁵ / (4n⁵ + 1)) = 3/4
This is not 0, so the series does not converge, meaning the sum does not exist.
You would use Pythagorean theorem to help u out if u have 2 sides u should be able to do it.
Given:
Louise used 0.61 kilogram of flour each day for 3 weeks.
To find:
How many grams did Louise use in those 3 weeks?
Solution:
We know that,
1 kg = 1000 g
Flour used by Louise each day for 3 weeks = 0.61 kg
1 week = 7 days
3 week = 21 days
Flour used by Louise for 3 weeks (21 days) = (21 × 0.61) kg
= 12.81 kg
= (12.81 × 1000) [ 1 kg = 1000 g]
= 12810 g
Therefore, flour used by Louise for those 3 weeks is 12,810 grams.
(a) How would you characterize the relationship between the hours spent on homework and the test scores? Explain
For this case what we see is that we have a scatter diagram, which we can model using a linear trend defining the following variables:
x: number of hours studied.
y: test scores.
The linear relationship would be of the form:
y = mx + b
(b) Paul uses the function y = 8x + 40 to model the situation. What score does the model predict for 3 h of homework?
y = 8x + 40
For three hours of study we have that the note would be approximately:
y = 8 * (3) + 40
y = 64
(c) What does the number 40 in Part (b) mean in the context of the situation?
The number 40 means that if you do not devote any study time, then you expect the test score to be 40.
In parentheses 6 times 3 plus three times 2 minus 2 back parentheses plus new parentheses x times 3 minus 5 times 2 minus 3 equals 12.
there hope this helps!!