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225578 Questions
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17
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counting
Help how are you supposed to do this
Three adults and three children are to be seated at a circular table. In how many different ways can they be seated if each child must be next to at least one adult? (Two seatings
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Guest
Mar 21, 2023
0
19
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Algebra
How do I do this
Find the constant term in the expansion of (2z - 1/(z*sqrt(z)) + 1)^4.
Guest
Mar 21, 2023
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11
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Precalc
The position of a particle is given by the parametric equations
x = 3 + 2 sin 2t - cos t
y = 4 + cos 4c + sin 3t
as t ranges over all real numbers.
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Guest
Mar 21, 2023
0
21
1
counting
Sam writes down the numbers 1, 2, 3, ..., 99
(a) How many digits did Sam write, in total?
(b) Sam chooses one of the digits written down, at random. What is the probability that Sam chooses a 0?
(c) What is the sum of all
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Guest
Mar 21, 2023
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17
0
Algebra
We are looking to factor 23x^2 + kx - 5 + x^2 - 3. Some values of k allow us to factor it as a product of linear binomials with integer coefficients. what are all such values of k?
Guest
Mar 21, 2023
0
24
1
Renee is going bowling.
Renee is going bowling.
The cost per game is $2.50.
Renee will need to rent a pair of bowling shoes for $1.50.
She can spend up to $16.00 to bowl and rent a pair of shoes.
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Guest
Mar 21, 2023
0
29
1
Solve a system of equations using augmented matrices: word problems
Write a system of equations to describe the situation below, solve using an augmented matrix, and fill in the blanks.
Wendy likes to make desserts for bake sales. Last month, she made 1 batch of cookies, which called for 2 eggs total. The month before,
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Guest
Mar 21, 2023
+1
27
2
counting
In how many ways can you distribute 10 indistinguishable balls among 8 distinguishable boxes, if at least one of the boxes must be empty?
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Guest
Mar 21, 2023
+1
24
1
geometry
Points X, Y, and Z are on the sides QR , PR, and PQ respectively, of right triangle PQR such that PZXY is a square. If PQ=10 and PR=10, then what is the side length of the square?
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Guest
Mar 21, 2023
+1
23
2
+12
Exponential form
If I have e^{4pi*i/3} - e^{5pi*i/6}, how would I solve that? Like how do I subtract? I'm only used to head to tail addition
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GandalftheGrey
Mar 21, 2023
+1
25
1
counting
Joanna has six beads that she wants to assemble into a bracelet. Two of the beads have the same color, and the other four all have the same color. How many different ways can Joanna assemble her bracelet? (Two bracelets are considered identical if one can
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Guest
Mar 21, 2023
Mar 20, 2023
+1
25
2
If shoes cost 48$ but have a 25% discount how much are they
If shoes cost 48$ but have a 25% discount how much are they
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Guest
Mar 20, 2023
+1
15
0
Geometry
Let B, A, and D be three consecutive vertices of a regular -gon. A regular heptagon is constructed on AB with a vertex C next to A Find angle BCD in degrees.
Guest
Mar 20, 2023
+1
16
0
counting
(a) Find the number of ways that Magnus can give out 20 identical stickers to 5 of his friends. (Not everyone has to get a sticker.)
(b) Find the number of ways that Magnus can give out 20 identical stickers to 5 of
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Guest
Mar 20, 2023
+1
24
1
counting
Miyu is giving out 9 identical chocolates to her 7 friends, including Dhruv. All possible distributions are equally likely. What is the probability that Dhruv gets exactly 2 chocolates?
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Guest
Mar 20, 2023
+1
17
1
Challenging question anyone up for the chalenge
The question
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Guest
Mar 20, 2023
+1
19
3
2 Hard algebra questions
TThe 2 questions
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Guest
Mar 20, 2023
+1
17
4
Help pls thanks
Function $C$ is defined on positive integers as follows: \[C(n) = \begin{cases} \dfrac n 2 & \text{if $n$ is even}, \\ 3n+1 & \text{if $n$ is odd}. \end{cases}\] What is the value of \[C(1) + C(2) + C(3) + C(4) + \cdots + C(99) + C(100)?\]
<
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Guest
Mar 20, 2023
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