All Questions ⁺⁰237313 Questions

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21

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+85

Polynomial Long division

The function can be simplified into the function , defined everywhere except at x = D. What is the sum of the values of A, B, C, and D?
I got the answer of 13, but it said incorrect. I'm thinking read more ..

PurpleWasp Aug 8, 2024

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39

0

+2729

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?

LiIIiam0216 Aug 8, 2024

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21

1

+2729

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?

LiIIiam0216 Aug 8, 2024

0

29

0

+1729

Counting

You are given the 4 x 4 grid below.
(a) Find the number of ways of placing 8 counters in the squares (at most one counter per square), so that each row contains exactly two counters.
(b) Find the number of ways read more ..

parmen Aug 8, 2024

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27

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+582

Geometry

A regular hexagon has a perimeter of $p$ (in length units) and an area of $A$ (in square units). If $A = \frac{3}{2},$ then find the side length of the hexagon.

onyuIee Aug 8, 2024

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28

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+1517

Counting

A standard six-sided die is rolled $7$ times. You are told that among the rolls, there was one $1,$ one $2$, one $3$, one $4$, one $5$, and two $6$s. How many possible sequences of rolls could there have been? (For example, 2, 3, read more ..

learnmgcat Aug 8, 2024

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29

0

+1517

Counting

A baking club wants to form an executive committee. There are $20$ people in the baking club, including Mark. In how many ways can the baking club form an executive committee with $7$ people, including Mark?

learnmgcat Aug 8, 2024

-2

25

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+356

Counting

At a meeting, four scientists, two mathematicians, and a journalist are to be seated around a circular table. How many different arrangements are possible if the mathematicians must sit next to each other? (Two seatings are considered equivalent if read more ..

Stanry Aug 8, 2024

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27

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+2729

Counting

In how many ways can the numbers through be entered once each into the five boxes below so that all the given inequalities are true?
___ > ___ > ___ > ___ < ___

LiIIiam0216 Aug 8, 2024

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17

0

+2729

Counting

Catherine rolls a standard 6-sided die six times. If the product of her rolls is 200, then how many different sequences of rolls could there have been? (The order of the rolls matters.)

LiIIiam0216 Aug 8, 2024

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26

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+2729

Counting

Six children are each offered a single scoop of any of $3$ flavors of ice cream from the Combinatorial Creamery. In how many ways can each child choose a flavor for their scoop of ice cream so that some flavor of ice cream is selected by exactly five c read more ..

LiIIiam0216 Aug 8, 2024

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32

1

+2729

Algebra

Find the ordered triple (p,q,r) that satisfies the following system:
p - 2q = 3
q - 2r = -2 + q
p + r = 9 + p read more ..

LiIIiam0216 Aug 8, 2024

0

12

1

+363

Compute

Compute

Answer should be a square root

Lilliam0216 Aug 8, 2024

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29

1

+1556

System

One ordered pair (a,b) satisfies the two equations ab^4 = 48 and ab^2 = 4. What is the value of b in this ordered pair? (Note: you may have to use the Tab key to get your cursor into the middle answer box.)

kittykat Aug 8, 2024

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30

1

+1517

Coefficient

Find the coefficient of y^4 in the expansion of (2y-5+3y^2)^6.

learnmgcat Aug 8, 2024

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24

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+950

Counting

How many solutions are there to the equation
u + v + w + x + y + z = 7
where u, v, w, x, y, and z are nonnegative integers, and x is at most 2 or y is at least 3?

gnistory Aug 8, 2024

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31

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+950

Counting

Syd chooses two different primes, and multiplies them. If both primes are greater than 3, and the resulting product is less than 500 , then how many different products could Syd have ended up with?

gnistory Aug 8, 2024

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28

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+1782

Algebra

Let $a$ and $b$ be complex numbers. If $a + b = 4$ and $a^2 + b^2 = 6 + 2ab,$ then what is $a^3 + b^3?$

blackpanther Aug 8, 2024

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37

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+1782

Algebra

Find the value of
\cfrac{1}{1 + \cfrac{1}{4 + \cfrac{1}{4 + \cfrac{1}{2}}}}.

blackpanther Aug 8, 2024

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31

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+900

Algebra

Find all c such that |c + 5| - 3c = 10 + 2|c - 4| - 6|c|. Enter all the solutions, separated by commas.

eramsby1O1O Aug 8, 2024

0

21

0

+1517

Counting

Find the number of ways of arranging the numbers 1,2 ,3, 4, 5, 6 in a row so that the product of any two adjacent numbers is at least 5.

learnmgcat Aug 8, 2024

0

26

0

+1855

Algebra

Solve for the variable x in terms of y and z, assuming y \neq \frac{1}{2}:
xy + x = \frac{3x + 2y + z + y + 2z}{3}

ABJeIIy Aug 8, 2024

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26

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+1855

Algebra

Find all values of a that satsify the equation \frac{a}{3} + 1 = \frac{a + 3}{a} + 1.

ABJeIIy Aug 8, 2024

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