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jaekg
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jaekg
Punkte
190
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43
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12
43 Questions
12 Answers
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1
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+190
Algebra
Compute
1 + \frac{3}{6} + \frac{5}{6^2} + \frac{7}{6^3} + 2 + \frac{2}{5} + \frac{2}{5^3} + \frac{2}{5^4}
jaekg
20.10.2024
0
1
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+190
Algebra
Let $x$ and $y$ be complex numbers. If $x + y = 2$ and $x^3 + y^3 = 5$, then what is $x^2 + y^2$?
jaekg
20.10.2024
0
1
0
+190
Algebra
Compute the sum
\frac{1}{\sqrt{36} + \sqrt{39}} + \frac{1}{\sqrt{39} + \sqrt{40}} + \frac{1}{\sqrt{40} +\sqrt{45}}
jaekg
20.10.2024
0
1
0
+190
Algebra
Find all values of c such that 3(2c + 1) = 28*(3c) - 9 + 45(3c) - 18. If you find more than one value of c, then list your values in increasing order, separated by commas.
jaekg
20.10.2024
0
1
3
+190
Counting
I have $3$ different mathematics textbooks, $2$ different psychology textbooks, and $2$ different chemistry textbooks. In how many ways can I place the $7$ textbooks on a bookshelf, in a row, if all three mathematics textbooks must be together?
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jaekg
17.10.2024
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+190
Counting
At a meeting, $4$ scientists, $3$ mathematicians, and $2$ journalists are to be seated around a circular table. How many different arrangements are possible if every mathematician must sit next to a journalist? (Two seatings are considered
mehr ..
jaekg
17.10.2024
0
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+190
Counting
A baking club wants to form an executive committee. There are $15$ people in the baking club, including Mark. In how many ways can the baking club form an executive committee with $2$ people, not including Mark?
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jaekg
16.10.2024
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3
+190
Counting
Catherine rolls a standard $6$-sided die six times. If the product of her rolls is $6,$ then how many different sequences of rolls could there have been? (The order of the rolls matters.)
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jaekg
16.10.2024
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+190
Counting
In how many ways can we distribute 13 pieces of identical candy to 5 kids, if the two youngest kids are twins and insist on receiving at least four pieces each?
jaekg
16.10.2024
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+190
Counting
In how many ways can three pairs of siblings from different families be seated in two rows of three chairs, if siblings may sit next to each other in the same row, but no child may sit directly in front of their sibling?
jaekg
16.10.2024
0
1
1
+190
Number Theory
When expanded as a decimal, the fraction $\frac{1}{7}$ has a repetend (the repeating part of the decimal) of $142857$. The last three digits of the repetend are $857$.
When expanded as a decimal, the fraction $\frac{1}{13}$
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jaekg
15.10.2024
0
1
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+190
Number Theory
When $N$ is divided by $10$, the remainder is $a$. When $N$ is divided by $2$, the remainder is $b$. What is $N$ modulo $10$, in terms of $a$ and $b$?
jaekg
15.10.2024
0
1
1
+190
Algebra
Let x and y be integers. If x and y satisfy 37x + 82y = -172 and x + y = -1, then find x.
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jaekg
15.10.2024
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The answer is x = 50, y = -47.
jaekg
15.10.2024
#1
+190
-1
The area of trapezoid EFGH is 45.
jaekg
01.10.2024
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