All Questions ⁺⁰238231 Questions

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231

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Counting

This is a counting problem plz help

Syd chooses two different primes, both of which are greater than 10 and multiplies them. The resulting product is less than How many different products could Syd have ended read more ..

Guest Feb 21, 2023

Feb 20, 2023

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221

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Counting

I don't know how

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 read more ..

Guest Feb 20, 2023

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236

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Help with problem

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 times the probability that a freshman is elected. Everyone on the junior varsity read more ..

Guest Feb 20, 2023

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193

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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 from 1 to 12, read more ..

Guest Feb 20, 2023

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200

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Geometry

Plz help with geometry problem

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 20, 2023

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206

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Exponential function

Plz help with this

Select all the correct statements. (For this problem, we assume that an exponential function is of the form ka^x where a > 0)
read more ..

Guest Feb 20, 2023

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187

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Counting

How to count this

There are 97 students in South High School. South High School offers only Chinese and Spanish. There are more students in Chinese than in Spanish, and every student takes at least one language. If students read more ..

Guest Feb 20, 2023

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218

2

plz help soon thx

The decimal number 61 is a 2-digit number. Find the smallest positive integer B so that when we express the decimal number 61 as a base B number we still get a 2-digit number.

plz help soon thanks

Guest Feb 20, 2023

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190

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Expected value

Help with this plz

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 what is the expected number of paths that read more ..

Guest Feb 20, 2023

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210

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Counting

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

Guest Feb 20, 2023

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201

2

Find all $x$-intercepts of the graph of $x^2 - 2x + y^2 + 6y - 15 = 0$. Write your answer as a list of ordered pairs, separated by commas.

Find all -intercepts of the graph of .
Write your answer as a list of ordered pairs, separated by commas. If there are no -intercepts, write "none".

Guest Feb 20, 2023

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209

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In the 7th grade, 5/9 of the students have brown eyes and 5/12 have blue eyes. What fraction of the 7th graders have green eyes?

In the 7th grade, 5/9 of the students have brown eyes and 5/12 have blue eyes. What fraction of the 7th graders have green eyes?

Guest Feb 20, 2023

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196

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Triangle

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 Feb 20, 2023

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208

1

x+23=25

Guest Feb 20, 2023

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189

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Counting

Find the number of six-digit numbers, where the sum of the digits is divisible by 8.

Guest Feb 20, 2023

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215

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Graphing

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

Guest Feb 20, 2023

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198

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Stats

A list of ten distinct, positive integers has a median of 5.5. What is the smallest possible average of the ten positive integers? Explain your ansswer in complete sentences.

Guest Feb 20, 2023

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188

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Algebra

Let r be a root of x^3 - 2x + 5 = x^3 - x^2 + 9. Show that none of r, r^2, or r^3 is irrational.

Guest Feb 20, 2023

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180

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Inequality

Let a, b, and c be nonnegative real numbers. Prove that for all x >= 0,
(x + abc)^3 >= abc(x + a)(x + b)(x + c) >= (x + a + b + c)^3.

Guest Feb 20, 2023

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180

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Polynomial

Find a polynomial f(x) of degree 5 such that both of these properties hold:
* f(x) is divisible by x^3
* f(x) + 1 is divisible by (x+ 1)(x + 2)(x + 3)
read more ..

Guest Feb 20, 2023

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202

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Need help

When it rains, every student in Margo's school brings a raincoat, an umbrella, or both. And of the students bring both. The total number of umbrellas brought is equal to twice the number of raincoats.

What percent of the read more ..

Guest Feb 20, 2023

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188

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Geometry

In tetrahedron ABCO, angle AOB = angle AOC = angle BOC = 90^\circ. A cube is inscribed in the tetrahedron so that one of its vertices is at O, and the opposite vertex lies on face ABC. Let OA = 1, OB = 1, OC = 1. Show that the read more ..

Guest Feb 20, 2023

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