All Questions ⁺⁰237643 Questions

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Constant term

Find the constant term in the expansion of (2z - 1/(z*sqrt(z)) + 1)^4.

Guest Jan 14, 2023

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my q,,,,,

if s = 1375 and t = 1284, then 1294*s*234*t=?

Guest Jan 14, 2023

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221

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Graph g(x)=2x2−4x−16.

Graph g(x)=2x2−4x−16.
Use the parabola tool then choose the vertex followed by one point on the parabola.

Guest Jan 14, 2023

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155

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Probability

Right triangle XYZ has legs of length XY = 12 and YZ = 6. Point D is chosen at random within the triangle XYZ. What is the probability that the area of triangle XYD is at most 20?

Guest Jan 14, 2023

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157

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probability

Four points W, X, Y, and Z are chosen at random on a circle. Find the probabiity that WX > YZ.

Guest Jan 14, 2023

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Probability

A member of the junior varsity swim team will be elected as President. Each member is equally likely to be elected. The probability that a sophomore is elected is the probability that a freshman is elected. Everyone on the junior varsity swim read more ..

Guest Jan 14, 2023

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178

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Factoring

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 Jan 14, 2023

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167

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Graphing question

The graph of y = f(x) is shown below.

For each point (a,b) that is on the graph of y = f(x), the point ((a - 7)/2, (3b + 1)/4) is plotted, forming the graph of another function y = g(x). As an example, the point read more ..

Guest Jan 14, 2023

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help plz

In the olympic women's skating competition, the gold medal goes to first place, silver to second, and bronze to third. If there are skaters, including Americans, in how many ways can the medals be awarded to three of the skaters if exactly one of read more ..

Guest Jan 14, 2023

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Geometry

In the diagram below, D is a point on segment CE such that segments AD and BE are parellel and point A is not on segment BC. Line segments AD and BC intersect at point P.

If angle CAD = 67 degrees, then what is angle read more ..

Guest Jan 14, 2023

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167

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Complex numbers

Describe all solutions to zw - 3w - 2iw + 4z = 7iw + 5w + 11iz - 13 + 15i
where z and w are complex numbers.

Guest Jan 14, 2023

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193

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counting problems

Let n be a positive integer. Let k be a positive integer.

(a) Using a counting argument, show that C(n - 1, k - 1) + C(n - 1, k) = C(n,k).
read more ..

Guest Jan 14, 2023

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Counting

Find the number of paths from A to I, if each step must be in a right-ward direction. (For example, one possible path is A C D E F G H I)

Guest Jan 14, 2023

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176

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counting

Marvin the fly starts at (0,0). Each step, Marvin moves one unit right or one unit up. He is trying to get to his ome at. However, at there is a frog that will eat him if he goes through that point. In how many ways can Marvin reach his read more ..

Guest Jan 14, 2023

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180

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need help with counting

Find the number of paths from P to Q, where each step is to the right or up.

Guest Jan 14, 2023

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181

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help pls

The integers a,b,c,d satisty a>b>c>d>0 and
a+b+c+d=2048
a^2-b^2+c^2-d^2=2048
Find the smallest possible value of 'a'. read more ..

Guest Jan 14, 2023

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176

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help counting

Find the number of ways of placing 4 balls in 5 boxes if the balls are distinguishable and the boxes are distinguishable.

Guest Jan 14, 2023

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178

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Counting

In the array below, in how many different ways can we start with the letter A and move from letter to letter (horizontally, vertically, or diagonally), to spell the word "ARCH"?

Guest Jan 14, 2023

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170

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Tangent circles

The two circles below are externally tangent. A common external tangent intersects line PQ at R. Find QR.

Guest Jan 14, 2023

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help counting

Find the number of solutions to
x_1 + x_2 + x_3 + x_4 + x_5 + x_6 + x_7 + x_8 + x_9 + x_10 <= 2
in nonnegagive integers.

Guest Jan 14, 2023

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179

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Distance

What is the smallest distance between the origin and a point on the graph of y = 1/2*(x^2 - 8)?

Guest Jan 14, 2023

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187

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geometry

In triangle PQR, M is the midpoint of PQ. Let X be the point on QR such that PX bisects angle QPR, and let the perpendicular bisector of PQ intersect AX at Y. If PQ = 36, PR = 22, QR = 26, and MY = 8, then find the area read more ..

Guest Jan 14, 2023

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Probability question

Let PQR be an equilateral triangle, centered at O. A point X is chosen at random inside the triangle. Find the probability that X is closer to O than to any of the sides. (In other words, find the probability that XO is read more ..

Guest Jan 14, 2023

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plz help with this

Suppose we have a bag with 10 slips of paper in it. Eight slips have a 3 on them and the other two have a 5 on them.

How many 5's do we need to add to make the expected value equal to 7?
How many read more ..

Guest Jan 14, 2023

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help with expected value

The grid below is made up of line segments, like the line segment in red.

There are a number of paths that go from A to B in the grid, where every step goes to the right or up. If we choose a line segment at random, then read more ..

Guest Jan 14, 2023

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