All Questions ⁺⁰235690 Questions

+5

22

3

+180

A reflection maps A to B and B to C Given AB=10 find AC

A reflection maps A to B and B to C Given AB=10 find AC

itsash Nov 11, 2023

Nov 10, 2023

0

49

0

+743

plz help

Find the number of ways that Magnus can give out 12 identical stickers to 8 of his friends. (Not everyone has to get a sticker.)
Find the number of ways that Magnus can give out 12 identical stickers to 8 of his friends, if every friend read more ..

bingboy Nov 10, 2023

0

17

6

+743

help algebra

Fill in the blanks to make the equation true. (Each blank should contain a 2-digit number.)
18*18 + 19*18 + 20*18 + ... + 45*18 = ___ * ___

●●●●●●

bingboy Nov 10, 2023

0

14

1

+743

binomials

Compute
\binom{5}{3} - \binom{6}{3} + \binom{7}{3} - \dots - \binom{22}{3} + \binom{23}{3} - \binom{24}{3}

bingboy Nov 10, 2023

0

46

0

+743

Probability question

Miyu is giving out 8 identical chocolates to her 8 friends, including Dhruv. All possible distributions are equally likely. What is the probability that Dhruv gets exactly 1 chocolate?

bingboy Nov 10, 2023

0

60

0

+743

counting

How many solutions are there to the equation
u + v + w + x + y + z = 18,
where $u,$ $v,$ $w,$ $x,$ $y,$ and $z$ are nonnegative integers, and $x$ is at most $8?$

bingboy Nov 10, 2023

0

64

0

+743

need help

There is a group of five children, where two of the children are twins. In how many ways can I distribute 18 identical pieces of candy to the children, if the twins must get 7 pieces of candy?

bingboy Nov 10, 2023

0

42

1

+743

counting question

In how many ways can you distribute 8 indistinguishable balls among 15 distinguishable boxes, if at least three of the boxes must be empty?

bingboy Nov 10, 2023

0

33

1

+743

help counting

Find the number of solutions to
x_1 + x_2 + x_3 + x_4 + x_5 <= 20
in nonnegative integers, where x_3 is even and x_4 >= 11.

bingboy Nov 10, 2023

+1

35

2

+157

Counting w/ Restrictions

Find the number of positive integers that satisfy both the following conditions:
- Each digit is a or a
- The sum of the digits is
I have a vague idea that this is solved with casework, but I don't read more ..

BlackjackEd Nov 10, 2023

0

26

2

+77

Distinguishability and Indistinguishability

1. In how many ways can b***s be placed in boxes if the b***s are indistinguishable, and the boxes are distinguishable?
2. In how many ways can b***s be placed in boxes if the b***s are distinguishable, and read more ..

NotLatePY Nov 10, 2023

0

40

1

+8

HELP PLSSS

Spongecake Nov 10, 2023

0

61

0

+743

Percent

In a store window, there was a box of berries having a total weight of 200 kg. The berries were 90% water, by weight. After two days in the sun, the water content of the berries was only 80%, by weight. What was the total weight of the read more ..

bingboy Nov 10, 2023

0

51

0

+743

Algebra

Find all values of x such that sqrt(4 x^2) + sqrt x = 6 + x^2.

bingboy Nov 10, 2023

0

25

2

+1364

need help

Find one ordered pair $(x,y)$ of real numbers such that $x + y = 10$ and $x^3 + y^3 = 162 + x^2 + y^2.$

sandwich Nov 10, 2023

Nov 9, 2023

0

37

2

+1364

I need help

Find the coefficient of y^4 in the expansion of (2y - 5)*(5y - 2)^6.

sandwich Nov 9, 2023

0

31

2

+1364

Help algebra

Fill in the blanks with positive integers:
(3 + sqrt(5))*3*(5 + 3*sqrt(5))^3 = ___ + ___* sqrt(5)

sandwich Nov 9, 2023

0

58

0

+1364

Help expand

Expand (sqrt(t) + t^3)^4*(sqrt(t) - t^3)^4*(t - sqrt(t))^4.

sandwich Nov 9, 2023

0

57

0

+1364

Expand

Expand (x^2 + 1/x)*(x + x^4)^3.

sandwich Nov 9, 2023

0

36

0

+1364

Help plz

Find the coefficient of u^2*v^9 in (2u - 3*v^3)*5*(3u^3 - 2v^5)^3.

sandwich Nov 9, 2023

0

56

0

+1364

Need help

Let a and b be real numbers such that a^3 + 3ab^2 = 679 and 3a^3 - ab^2 = 615. Find a - b.

sandwich Nov 9, 2023

0

54

3

+1364

Algebra

Find the constant term in the expansion of (2z - 1/sqrt(z))*5*(z - 1/sqrt(z))^3.

sandwich Nov 9, 2023

0

46

1

+1364

Algebra

Find the positive integers n such that the expansion of (4x^2 - 7y^3)^n contains a term of the form cx^2*y^3.

sandwich Nov 9, 2023

0

49

1

+1364

help binomial

For some real number $a$ and some positive integer $n,$ the first few terms in the expansion of $(1 + ax)^n$ are
\[1 - 6x + 12x^2 + cx^3 + \dotsb.\]
Find $c.$

sandwich Nov 9, 2023

0

34

1

+1364

binomial

(a) For some positive integer n, the expansion of (1 + x)^n has three consecutive coefficients a, b, c that satisfy a:b:c = 1:2:3. What must n be?
(b) If a:b:c = 1:8:40 and a + b + c = 100, then what is a?

sandwich Nov 9, 2023

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