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237647 Questions
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161
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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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203
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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
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Guest
Feb 7, 2023
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171
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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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178
1
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.
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Guest
Feb 7, 2023
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162
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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.
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Guest
Feb 7, 2023
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180
1
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.
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Guest
Feb 7, 2023
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162
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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
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Guest
Feb 7, 2023
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204
1
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
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Guest
Feb 7, 2023
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157
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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?
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Guest
Feb 7, 2023
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168
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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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166
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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
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Guest
Feb 7, 2023
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172
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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)
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Guest
Feb 7, 2023
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163
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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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264
1
60% of 110
60% of 110
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Guest
Feb 7, 2023
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169
1
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
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Guest
Feb 7, 2023
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176
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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.
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Guest
Feb 7, 2023
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198
1
System
For a certain value of k, the system
x + y + 3z = 10
-4x + 8y + 5z = 7
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Guest
Feb 7, 2023
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148
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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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168
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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
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Guest
Feb 7, 2023
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158
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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
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Guest
Feb 7, 2023
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154
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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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170
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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
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Guest
Feb 7, 2023
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168
1
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
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Guest
Feb 7, 2023
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