All Questions ⁺⁰237827 Questions

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169

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Counting

I need the answer here

Find the number of ways of choosing three points from the grid below, so that they form an isosceles right triangle.

Guest Feb 7, 2023

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214

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What is the velocity of puck 2?

Two hockey pucks each with a mass of 0.2 kg, slide across the ice and collide. Before the collision puck 1 is moving 16 m\s to the east and puck 2 is moving 11 m\s to the west. After the collision, puck 1 is moving 11 m\s to the west What is the velocity read more ..

Guest Feb 7, 2023

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180

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Coefficient

How to compute coefficients

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

Guest Feb 7, 2023

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188

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Geometry

I need help plz

Let AB be a diameter of a circle, and let C be a point on the circle such that AC=8 and BC=4 The angle bisector of ACB intersects the circle at point M Find CM.

Guest Feb 7, 2023

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172

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Geometry

Can anyone help with parallelogram

In the diagram below, PQRS is a parallelogram with a perimeter of 26 and an area of 28. What is the perimeter of rectangle OSTQ? Include an explanation of how you solved the problem. read more ..

Guest Feb 7, 2023

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194

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CPI

The median value of houses sold in the state of Indiana in 2011 was approximately $130,000. If the housing market follows inflation, what would a comparable median house value be in 1986 dollars?
Express your answer rounded to the nearest cent.
read more ..

Guest Feb 7, 2023

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172

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Counting

Each unit square of the 4 x 4 grid below is to be filled in with the number 1, 2, 3 or 4 so that
* each row contains the numbers 1, 2, 3, and 4 in some order
* each column contains the numbers 1, 2, 3 and 4 in some order
* each 2 read more ..

Guest Feb 7, 2023

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215

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I need assistance with B please, thanks!

From class we learned that in 2010 the federal debt (in millions) was $13,561,623 and the population of the U.S. was 309 million.Use this information to compute the federal debt per capita in 2010.
Express your answer rounded correctly to the nearest read more ..

Guest Feb 7, 2023

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168

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Algebra

Let S be the set of all real numbers of the form
a1/3 + a2/3^2 + a3/3^3 + ....
where a_i \in {0, 1, 2} for all i.

(a) Is the number 1/7 in the set S? read more ..

Guest Feb 7, 2023

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176

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Algebra

Find all solultions of the equation |x^2 - 30x - 1| + |x^2 - 30x + 1| = 30.

Guest Feb 7, 2023

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175

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Counting

Can anyone help plz?

A debate team consists of 5 freshmen and 4 sophomores. (Everyone is distinguishable.) In how many ways can they stand in line, so at least two of the sophomores are standing next to each other, and read more ..

Guest Feb 7, 2023

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184

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Expected value

I need help with these

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.
(a) What is the expected value of the number shown when we draw a single slip of paper?
(b) read more ..

Guest Feb 7, 2023

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174

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Counting

Find the number of positive integers that satisfy the following conditions:
* Each digit is a 1 or a 2 or a 3
* The sum of the digits is 10

Guest Feb 7, 2023

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274

1

60% of 110

Guest Feb 7, 2023

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182

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Coordinates

A median of a triangle is a line segment joining a vertex of a triangle to the midpoint of the opposite side. The three medians of a triangle are drawn below.

Note that the three medians appear to intersect at the same point! Let's read more ..

Guest Feb 7, 2023

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187

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Functions

The functions f and h are defined as follows:
f(x) = (x + 5)/(x - 7) and h(x) = (x + 5)(x - 7).

Explain why the functions f and h are not the same function. read more ..

Guest Feb 7, 2023

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213

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System

For a certain value of k, the system
x + y + 3z = 10
-4x + 8y + 5z = 7 read more ..

Guest Feb 7, 2023

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156

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Function

The function f(n) satisfies
binom(2n)n - binom(2n + 1)(2n) = f(n) *binom(2n + 1)(n + 1)
for all positive integers n. Find f(n).

Guest Feb 7, 2023

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179

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Counting

We call a number cozy if every digit in the number is either even or next to an even digit. For example, a number is cozy if every digit in the number is either a 2 or next to a 2. For example, the number 222, 72, 45, and 810 and read more ..

Guest Feb 7, 2023

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167

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Counting

Help how to solve using combination

I run a book club with n people, not including myself. Every day, for 100 days, I invite members in the club to review a book. What is the smallest positive integer n so that I can avoid ever having read more ..

Guest Feb 7, 2023

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161

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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, and at lest three of the squares are red. How many ways are there to color the five squares?

Guest Feb 7, 2023

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179

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Probability

In the SuperLottery, three balls are drawn (at random, without replacement) from white balls numbered from 1 to 12, and one SuperBall is drawn (at random) from red balls numbered from 13 to 20. When you buy a ticket, you choose three numbers read more ..

Guest Feb 7, 2023

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181

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Counting problem

When two standard 6-sided dice are rolled, there are 36 possible outcomes for the sum of the two rolls: one sum of 2, two sums of 3, and so on, up to one sum of 12.

Find all possible ways of numbering two 6-sided dice read more ..

Guest Feb 7, 2023

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