Answer:
d. converges, -25
Step-by-step explanation:
An infinite geometric series converges if the absolute value of the common ratio is less than 1.
Here, the common ratio is 4/5:
| 4/5 | = 4/5 < 1
So the series converges. The sum of an infinite geometric series is:
S = a₁ / (1 − r)
where a₁ is the first term and r is the common ratio.
Here, a₁ = -5 and r = 4/5:
S = -5 / (1 − 4/5)
S = -25
Answer:
a. There are 48 angelfish.
b. There are 36 goldfish.
Step-by-step explanation:
the ration of clownfish to angelfish is 5:4 and there are 60 clownfish.
60:? 5x=60 x=12 12(4)=48
60:48 there are 48 angelfish
the ration of angelfish to goldfish is 4:3 and know we know there are 48 angelfish
48:? 4x=48 x=12 12(3)=36
48:36 there are 36 goldfish
1 week is 7 days.
3 weeks = 21 days. Answer D. is correct.
A hour is 3600 seconds
24 hours ( a day ) is 86400 seconds
21 days is 1814400 seconds. * This is not an option *
Since 24 hours are in a day 24 hours x 21 days is 504 hours
Answer A. is correct
504 hours x 60 minutes per hour is 30240
Answer B. is correct. These are all the correct answers, A,B, and D.
Answer:
⠀
Step-by-step explanation:
The triangle having two sides equal along with one different side is called an isosceles triangle.
⠀
- So, Let us assume the other sides (two equal sides) of the isosceles triangle as x. As the different side is already given in the question.
⠀
We know that,
- The sum of all angles of a triangle is 180°
⠀
So, According to the question :
⠀
⠀
⠀
⠀
⠀
⠀
⠀
Therefore,
- The measure of the two other angles of the isosceles triangle are 71° and 71°.
Answer:
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Step-by-step explanation:
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