All Questions ⁺⁰236252 Questions

0

24

0

+1375

Counting

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

learnmgcat Jun 18, 2024

0

29

0

+1375

Counting

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

learnmgcat Jun 18, 2024

0

13

1

+1375

Counting

In a row of five squares, each square is to be colored either red, yellow, or blue, so that no two consecutive squares have the same color. How many ways are there to color the five squares, if there must be at least three yellow squares?

learnmgcat Jun 18, 2024

0

27

0

+1375

Counting

In how many ways can three pairs of siblings from different families be seated in two rows of three chairs, if siblings may not sit next to each other in the same row?

learnmgcat Jun 18, 2024

+1

10

3

+85

Please Help, Quadractics

If and x is any real number, then what is the sum of the maximum and minimum possible values of y? Thank you!

CPhill ●●●

PurpleWasp Jun 18, 2024

0

30

0

+1573

Geometry

In triangle $PQR,$ $M$ is the midpoint of $\overline{PQ}.$ Let $X$ be the point on $\overline{QR}$ such that $\overline{PX}$ bisects $\angle QPR,$ and let the perpendicular bisector of $\overline{PQ}$ intersect $\overline{PX}$ at $Y.$ If $PQ = 36$, $PM read more ..

parmen Jun 18, 2024

0

21

1

+1573

Algebra

A geometric sequence has $400$ terms. The first term is $500$ and the common ratio is $-\frac{1}{20}.$ How many terms of this sequence are greater than $1?$

parmen Jun 18, 2024

0

16

1

+1573

Algebra

All members of our painting team paint at the same rate. If $15$ members can paint a specific wall in $45$ minutes, then how long would it take $20$ members to paint the same wall, in minutes?

NotThatSmart ●

parmen Jun 18, 2024

0

20

0

+1375

Geometry

Let $WXYZ$ be a trapezoid with bases $\overline{XY}$ and $\overline{WZ}$. In this trapezoid, $\angle ZXW = 120^\circ$, $\angle XWZ = 60^\circ$, and $\angle XYZ = 120^\circ$. Find $\angle YXZ$, in degrees.

learnmgcat Jun 18, 2024

+1

14

1

+85

Quadratics

Find the sum of the squares of the solutions of

PurpleWasp Jun 18, 2024

0

20

0

+1375

Geometry

In trapezoid $PQRS,$ $\overline{PQ} \parallel \overline{RS}$. Let $X$ be the intersection of diagonals $\overline{PR}$ and $\overline{QS}$. The area of triangle $PQX$ is $4,$ and the area of triangle $PSR$ is $8.$ Find the area of trapezoid read more ..

learnmgcat Jun 18, 2024

0

15

1

+1375

Geometry

The graph of the equation
4x^2 - 12x + 4y^2 + 16y + 17 = -4x + 2y + 5
is a circle. Find the radius of the circle.

learnmgcat Jun 18, 2024

0

11

1

+1375

Geometry

Point $A$ is reflected over the line shown below to point $B$. Find the coordinates of $B$.
Write your answer as an ordered pair $(x,y)$.
The line is y = x + 3, and A = (7,1).

learnmgcat Jun 18, 2024

0

21

1

+1573

Counting

Annville Junior High School has a math club and a science club. There are $3$ students in the math club and $3$ students who are members of both clubs. There are twice as many students in the science club as in the math club. Find read more ..

parmen Jun 18, 2024

0

12

1

+976

Number Theory

When fractions are expressed in different bases, they can be terminating or repeating. For example, when $\frac{1}{5}$ is expressed in base $3,$ the result is
0.\overline{0121}_3 = 0.01210121 \dots,
which is repeating.
When read more ..

Hi6942O Jun 18, 2024

0

12

1

+976

Number Theory

Compute gcd of 702,936 and 841,131.

Hi6942O Jun 18, 2024

0

17

1

+976

Number Theory

Compute gcd of 294,343 and 878,568.

Hi6942O Jun 18, 2024

0

13

1

+976

Number theory

Compute gcd of 123,451 and 708,677.

NotThatSmart ●

Hi6942O Jun 18, 2024

0

15

0

+976

Number Theory

What is the smallest prime divisor of 5^{19} + 7^{13} + 23?

Hi6942O Jun 18, 2024

0

15

1

+976

Number Theory

Compute gcd of 36,104 and 22,508.

Hi6942O Jun 18, 2024

0

14

2

+1375

Geometry

Trapezoid ABCD is inscribed in the semicircle with diameter \overline{AB}, as shown below. Find the radius of the semicircle. Find the area of ABCD.
PQDC is a square. read more ..

learnmgcat Jun 18, 2024

0

9

1

+1504

Geometry

In the diagram below, SR = PQ = 20 and RT:TS = 2:5. Find UV.

kittykat Jun 18, 2024

+1

13

1

+1938

Trigonometry is Impossible

Umm, why is trig so hard. Take this problem as an example.
1. Find the maximum value of
And good luck with this one...it's literally impossible. I don't even know where to start.
2. If read more ..

NotThatSmart Jun 18, 2024

0

17

1

+1504

Geometry

In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$

kittykat Jun 18, 2024

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