All Questions ⁺⁰238122 Questions

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418

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help algebra

Let x and y be real numbers such that 2(x^2 + y^2) = x + y + 1. Find the maximum value of x - y.

Guest Dec 4, 2021

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307

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Math question

Find all possible integer values of n such that 12n^2 + 12n + 38 is a 4-digit number with all 4 digits equal.

Guest Dec 4, 2021

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286

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help plz

What is the radius of the circle inscribed in triangle ABC if AB = 5, AC=6, BC=8? Express your answer in simplest radical form.

Guest Dec 4, 2021

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443

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Answer in the old link

https://web2.0calc.com/questions/please-help_81386

Guest Dec 4, 2021

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274

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Algebra

If a and b are nonzero real number such that $|a| \neq |b|$, compute the value of the expression (a + b)(b - a)/(a^2 - b^2).

Guest Dec 4, 2021

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271

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help polynomial

If the roots of p(x) = x^3 - 15x^2 + 74x + c form an arithmetic sequence, find c.

Guest Dec 4, 2021

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319

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help!

Hi i need help with this problem:

Let a, b and c be complex numbers such that |a|=|b|=|c|=1 and

Find all possible values of |a+b+c|
Enter all the possible values, separated by commas. read more ..

Guest Dec 4, 2021

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293

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Please help!

What is the smallest integer , greater than 1 , such that and are both defined?

Guest Dec 4, 2021

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286

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Polynomials

Find all the values of a for which the equations

x^2 + ax + 1 = 0
x^2 - x - a = 2 read more ..

Guest Dec 4, 2021

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335

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Rate and Probability

A certain disease has an incidence rate of 0.1%. If the false negative rate is 7% and the false positive rate is 5%, compute the probability that a person who tests positive actually has the disease.

Guest Dec 4, 2021

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353

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Probability

A survey was given asking whether people like dogs and/or cats.

128 said they like dogs
195 said they like cats
45 said they liked both cats and dogs
43 said they don't like cats or dogs.
read more ..

Guest Dec 4, 2021

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289

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Polynomial

There is a unique polynomial P(x) of degree 4 with rational coefficients and leading coefficient 1 which has sqrt(2) + sqrt(15) as a root. What is P(1)?

Guest Dec 4, 2021

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412

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Let Then P can be expressed in the form a^(b/c) where a,b, and c are positive integers. Find the smallest possible value of a+b+c.

Let
Then P can be expressed in the form a^(b/c) where a,b, and c are positive integers. Find the smallest possible value of a+b+c.

Guest Dec 4, 2021

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328

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arithmetico-geometric series

Let ,,

and

Our approach is to write T as a geometric series in terms of S and r. <#> Give a closed form expression for T in terms of r.

Guest Dec 4, 2021

Dec 3, 2021

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415

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Infinite Sum

Find the infinite sum of

Guest Dec 3, 2021

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357

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Geometry

Points A, B, C, D, E are five consecutive vertices of a regular polygon with n sides. If angle BEA = 5 degrees, find n.

Guest Dec 3, 2021

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284

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Polynomial

There is a unique polynomial P(x) of degree 4 with rational coefficients and leading coefficient 1 which has sqrt(2) + sqrt(15) as a root. What is P(1)?

Guest Dec 3, 2021

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270

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Fractions

A unit fractionis a fraction of the form 1/n for some nonzero integer n. Compute the number of ways we can write 1/16 as the sum of two distinct positive unit fractions. (The order of the fractions in the sum does not matter, so 1/2+1/3 would be considered read more ..

Guest Dec 3, 2021

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254

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geometry

Rhombus ABCD has perimeter 148, and one of its diagonals has length 28. what is the area of ABCD?

Guest Dec 3, 2021

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412

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geometry

1. In concave equilateral pentagon ABCDE, angle A = angle B = 100. What is the degree measure of angle E?

2. In trapezoid ABCD, angle A = angle B = 108. What are angles C and D?

Guest Dec 3, 2021

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403

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help number theory

For each positive integer n, let S(n) denote the sum of the digits of n. How many three-digit n's are there such that n = S(n) + S(S(n)) (mod 9)?

Guest Dec 3, 2021

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332

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solve

Guest Dec 3, 2021

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274

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Number Theory

2k is a perfect square, 3k is a perfect cube, and 5k is a perfect 4th power. What is the sum of the exponents in the prime factorization of the smallest such positive integer k ?

Guest Dec 3, 2021

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369

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please help me im stuck

Joe plays a game at the carnival. There are 30 balloons, with the name of a prize inside each
balloon. The prizes are 3 stuffed bears, 5 toy trucks, 9 decks of cards, 5 yo-yo’s, and 8 giant stuffed
dogs. Joe pops a balloon with a dart. What read more ..

Guest Dec 3, 2021

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269

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Geometry

Chord YZ of a circle with center O has length 12. The circumference of the circle is 12*pi. Find the length of arc YZ.

Guest Dec 3, 2021

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