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ABJelly
Username
ABJelly
Score
182
Membership
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Questions
37
Answers
0
37 Questions
0 Answers
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+182
Algebra
Let $a$ and $b$ be complex numbers. If $a + b = 4$ and $a^2 + b^2 = 6,$ then what is $a^3 + b^3?$
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ABJelly
Apr 24, 2024
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Science
Make a cone out of a piece of paper, make some measurements and estimates. Remember that
Measure the mass of your cone.
Measure the cross-sectional area of your cone.
Measure the terminal velocity
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ABJelly
Apr 16, 2024
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Science
If we wanted to measure terminal velocity, we could see how far something falls, measure how long that takes, and divide to get the terminal velocity.
On the other hand, that method would fail if the object were still accelerating up to its terminal
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ABJelly
Apr 16, 2024
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Science
Stars, like the sun cannot run on chemical energy. If they did, we estimated that they would burn through all their fuel within a few thousand years.
Stars run on nuclear energy. In the sun, this is almost entirely the energy given off when hydrogen
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ABJelly
Apr 16, 2024
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Science
German physicist Max Planck built a theory of black body radiation and used it to help start the field of quantum mechanics.
Planck's theory predicted:
In this formula, is the peak frequency of radiation coming
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ABJelly
Apr 16, 2024
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Compute
Compute
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ABJelly
Apr 16, 2024
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Series
Compute
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ABJelly
Apr 16, 2024
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Fill in the blanks to make a true equation:
Fill in the blanks to make a true equation:
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ABJelly
Apr 16, 2024
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Geometric Series
Letbe an infinite geometric series. The sum of the series is 3 The sum of the squares of all the terms is 4 Find the common ratio.
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ABJelly
Apr 15, 2024
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Geometric Series
Compute the sum
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ABJelly
Apr 15, 2024
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Geometric Series
Fill in the blanks to make the statement true:
The infinite geometric series with first term and common ratio has a sum of .
4
10
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ABJelly
Apr 15, 2024
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Geometric Series
Evaluate the infinite geometric series
Express your answer as a fraction with integer numerator and denominator.
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ABJelly
Apr 15, 2024
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Geometric Series
What is the tenth term in the geometric sequence 9, 3, 1, 1/3,...?
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ABJelly
Apr 15, 2024
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Arithmetic Sequences
Let be an arithmetic sequence. Let denote the sum of the first terms. If and then find
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ABJelly
Apr 9, 2024
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Arithmetic Sequences
Let be an arithmetic sequence. If and , then find .
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ABJelly
Apr 9, 2024
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Arithmetic Sequences
In a geometric sequence, the 23rd term is 16 and the 26th term is 12. What is the 32nd term?
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ABJelly
Apr 9, 2024
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Arithmetic sequences
When the same constant is added to the numbers 60, 100 and 165 a three-term geometric sequence arises. What is the common ratio of the resulting sequence?
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ABJelly
Apr 9, 2024
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