All Questions ⁺⁰238003 Questions

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181

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Algebra

Need help on this quick

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. read more ..

Guest Feb 2, 2023

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182

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Geometry

How do you prove this plz

Let ABC be a right triangle, and let H be the point on side AB so that CH is perpendicular to AB. Prove that (x + h)^2*(y + h)^2 = (a + b)^4.
read more ..

Guest Feb 2, 2023

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192

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Counting

There are 18 padded chairs around a circular table, and the chairs are numbered from 1 through 18 . How many ways can five people take their seats, so that no two people are adjacent?

Guest Feb 2, 2023

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196

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Counting

In how many ways can the numbers 1 through 5 be entered once each into the five boxes below so that all the given inequalities are true?

Guest Feb 2, 2023

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194

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Interest Rates

Help I don't get interest rates

Chuck deposits $2000 into a bank account that compounds annually at an interest rate of . Assuming there are no other transactions, what will the balance be after years, in dollars? read more ..

Guest Feb 2, 2023

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217

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+4

Mr. Bonds invested $5,000 in an account with an annual interest rate of 6% compounded continuously. Determine how many years, t, he must lea

Mr. Bonds invested $5,000 in an account with an annual interest rate of 6% compounded continuously. Determine how many years, t, he must leave his money in the account in order to double his investment. Approximately how many years until his investment read more ..

Ant111805 Feb 2, 2023

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182

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Counting

This is impossible

In a regular decagon, the sides are to be colored with five different colors, so that sides are diametrically opposite have the same color. (Not all five colors need to be used.) One possible coloring read more ..

Guest Feb 2, 2023

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188

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geometry

Help I dont get this

In triangle ABC, the angle bisector of angle BAC meets AC at D. If angle BAC = 60, angle ABC = 60, and AD = 24, then find the area of triangle ABC.

Guest Feb 2, 2023

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187

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Inequality

Help with inequality

(a) Show that if a, b, c, d, e, f are nonnegative real numbers, then (a^2 + b^2)^2 (c^4 + d^4)(e^4 + f^4) >= 32abcdef.
(b) Show that if a, b, c, d, e, f are nonnegative real numbers, read more ..

Guest Feb 2, 2023

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173

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Algebra

Fill in the blanks to make the equation true. (Each blank should contain a 2-digit number)

18/18 + 19/18 + 20/18 + ... + 45/18
read more ..

Guest Feb 2, 2023

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180

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Probability

Im getting wrong answer on this

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 read more ..

Guest Feb 2, 2023

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185

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Probability

Need help plz

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, read more ..

Guest Feb 2, 2023

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191

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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 2, 2023

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213

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Help

use the quadratic formula to find an expression for the sum of the squares of the roots of the equation ax^2+bx+c=0

Guest Feb 2, 2023

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251

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Math is hard

let r and s be the root of the quadratic x^2 + bx + c where b and c are constants. If (r-1)(s-1)=7, find b+c

Guest Feb 2, 2023

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233

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Equations Help

Guest Feb 2, 2023

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181

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Counting

Help need to count

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 read more ..

Guest Feb 2, 2023

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