All Questions ⁺⁰230566 Questions

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What is the sum of all even numbers between 10 and 500 inclusive?

Guest Dec 3, 2019

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520

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Evaluate (11 + 12 + 13 + ... + 20)/(1 + 2 + 3 + ... + 9).

Guest Dec 3, 2019

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525

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Conan wrote down 10 consecutive positive integers. If the sum of the 5 smallest positive integers is A, then waht is the sum of the 5 largest positive integers in terms of A?

Guest Dec 3, 2019

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934

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Find the sum 1 + 2 - 3 - 4 + 5 + 6 - 7 - 8 + ... + 301 + 302. (The pattern of signs is + + - - + + - - ...)

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Guest Dec 3, 2019

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1222

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logs :(

Find the solution of the equation ln24x-1 = ln8x+5+ log2161-2x expressing your answer in terms of ln2.

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cherrypiedelicious Dec 3, 2019

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2047

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please help i need it

(a) Compute the sum \[ 101^2 - 97^2 + 93^2 - 89^2 + \cdots + 5^2 - 1^2.\]
(b) Compute the sum \[ (a +(2n+1)d)^2- (a + (2n)d)^2 +(a + (2n-1)d)^2 - (a+(2n-2)d)^2 + \cdots + (a+d)^2 - a^2.\]

I would prefer read more ..

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Guest Dec 3, 2019

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547

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Die A has 4 red and 2 white faces, whereas die B has 2 red and 4 white faces. A fair coin is flipped once. If it lands on heads, the game continues with die A; if it lands on tails, then die B is to be used. Find the probability of red at any throw read more ..

Guest Dec 3, 2019

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689

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Say you have 6 apples and 7 oranges. You put them in a bag, and pull one out. The odds of taking an apple is 6/13. Now imagine that you randomly take one fruit out of the bag, but you don't look at it. You then take out a second piece of fruit. What are read more ..

Guest Dec 3, 2019

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691

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A group of 6 women and 4 men are being lined up for a photograph, in random order. What is the probability that all the women are beside each other?

Guest Dec 3, 2019

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3178

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Exponential Functions :(

Initially, 80 bacteria are placed in a Petri dish. It is observed that the bacteria triple in population every 5 hours.
How can this information be interpreted?
Select True or False for each statement.
read more ..

Guest Dec 3, 2019

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502

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A bag contains five white balls and five black balls. Your goal is to draw two black balls.
You draw two balls at random. Once you have drawn two balls, you put back any white balls, and redraw so that you again have two drawn balls. What is the probability read more ..

Guest Dec 3, 2019

+1

571

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Solve 2^{2x} - 8 * 2^x + 12 = 0.

Guest Dec 3, 2019

Dec 2, 2019

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430

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How many of the following statements is/are true?

(1): An odd number is never divisible by an even number.
(2): An odd number is never divisible by another odd number.
(3): An even number is never divisible by an odd number.
(4): read more ..

Guest Dec 2, 2019

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387

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The largest positive integer that divides the numbers 16 and 20 is 4.

What is the smallest value of the positive integer nn such that the largest positive integer that divides the numbers n,16, and 20 is also 4? read more ..

Guest Dec 2, 2019

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767

1

+143

In the complex plane, the graph of intersects the graph of in exactly one point. Find all possible values of .

In the complex plane, the graph of intersects the graph of in exactly one point. Find all possible values of .

AoPS.Morrisville Dec 2, 2019

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518

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Help Pls

Let $z$ be a complex number such that z^2 + |z|^2 = 3 - 5i.Find |z|^2.

Guest Dec 2, 2019

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377

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Solve the equation sqrt(x + 4) = x - 2.

Guest Dec 2, 2019

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702

2

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It takes 4 cooks 4 hours to bake 4 cakes. Assuming no change of rate, how many hours will it take 8 cooks to bake 8 cakes?

Guest Dec 2, 2019

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663

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Find the smallest positive multiple of 7 that leaves a remainder of 4 when divided by 6, 9, 15, and 18.

Guest Dec 2, 2019

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359

1

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Find all integers n such that n^2 + 1 is divisible by n + 1.

Guest Dec 2, 2019

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839

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+21

MATH. PLEASE HELP ME

All A are B. One-third of all D are A. Half of all C are B. One C is a A. Eight C are D. There are 90 B. Draw the Venn diagram. How many B are neither A nor C?

Correct question is on a post further down. Melody. read more ..

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marydien Dec 2, 2019

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406

1

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Find the smallest positive integer which ends in 17, is divisible by 17, and whose digits sum to 17.

Guest Dec 2, 2019

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362

1

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How many ways can 2020 be expressed as the sum of consecutive integers?

Guest Dec 2, 2019

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387

1

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Find the smallest positive integer n such that 224*n is a perfect square.

Guest Dec 2, 2019

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