By the ratio test, the series diverges since the limit
is not finite.
The series only converges for x = 1/4.
Answer:
5π, about 15.708 units
Step-by-step explanation:
A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...
C = πd
For a diameter of 5 units, the circumference is ...
C = π(5) = 5π = 15.708 . . . units
_____
<em>Additional comment</em>
The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...
3² + 4² = 9 +16 = 25 = 5²
That is, these numbers satisfy the Pythagorean theorem relation for sides of a right triangle.
Inequalities
Chua pays a monthly fee of $25 for his phone service, plus $0.05 per minute of use.
Let M = number of minutes Chua uses the phone service.
His monthly cost for the phone service is:
C = 25 + 0.05M
The least he has been charged in a month is $89.40. If we want to know the number of minutes he used the service in that month, then we must solve the inequality:
25 + 0.05M ≥ 89.40
Subtracting 25:
0.05M ≥ 89.40 - 25
Operating:
0.05M ≥ 64.40
Dividing by 0.05:
M ≥ 64.40 / 0.05
M ≥ 1288
He has used his phone service at least for 1288 minutes in a month
Answer:
x≤9
Step-by-step explanation:
because im cool
B:(3,-4)
2x-(-x-1)=10
X=3
Y=-3-1
Y=-4
