All Questions ⁺⁰237779 Questions

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272

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Polynomial

Find a monic quartic polynomial f(x) with rational coefficients whose roots include x = 1 - sqrt(2) and x = 2 - sqrt(3). Give your answer in expanded form.

Guest Jun 19, 2022

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215

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help geometry

Two circles intersect at A and B. A common external tangent is tangent to the circles at T and U as shown. Let M be the intersection of line AB and TU. If AB = 8 and BM = 3 find TU.

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Guest Jun 19, 2022

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217

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geometry

Circle O is tangent to AB at A, and angle ABD = 90 degrees. If AB = 12 and CD = 16, find the radius of the circle.
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Guest Jun 19, 2022

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276

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Help

A store purchased a fancy watch and marked it up 20% from the original cost of $192.50. A week later, the store placed the fancy watch on sale for 60% off. What was the discount price? If necessary, round your answer to the nearest cent.

Guest Jun 19, 2022

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277

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Multistep

A store purchased a plasma screen TV and marked it up 95% from the original cost of $876.08. A week later, the store placed the TV on sale for 70% off. What was the discount price?

Guest Jun 19, 2022

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216

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modulo arithmetic help please

question 1) solve 6x^2 congruent 6 (mod 16) question 2) system of equations {2x + 5y congruent 1 (mod 13) {5x + y congruent 2 (mod 13) question 3) system of equation {8x + 3y congruent 9 (mod 12) {6x + 5y congruent 2 (mod 12)

Guest Jun 19, 2022

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206

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geometry

Let A, B, C be points on circle O such that AB is a diameter, and CO is perpendicular to AB. Let P be a point on OA, and let line CP intersect the circle again at Q. If OP = 20 and PQ = 8, find r^2, where r is the radius of the circle. read more ..

Guest Jun 19, 2022

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210

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Function

Suppose a function f(x) is defined on the domain [-8,4]. If we define a new function g(x) by
g(x) = f(-x^2)
then what is the domain of g(x)? Express your answer in interval notation.

Guest Jun 19, 2022

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304

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Algebra

What is the sum of the $x$-values that satisfy the equation 5 = (x^3-2x^2-8x)(x+2)?

Guest Jun 19, 2022

Jun 18, 2022

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307

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trig problem

In right triangle DEF, we have angle D = 25 degrees, angle E = 90 degrees, and DE = 9. Find EF to the nearest tenth. You may use a calculator for this problem.

Guest Jun 18, 2022

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231

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help counting

There are 8 sprinters in the Olympic 100-meter finals, but 2 of them are disqualified. The gold medal goes to first place, silver to second, and bronze to third. In how many ways can the medals be awarded?

Guest Jun 18, 2022

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242

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HELPPP ASAP

Points A and B are on side YZ of rectangle WXYZ such that WA and WB trisect ZWX . If BY=3 and AZ=6, then what is the area of rectangle WXYZ?

Guest Jun 18, 2022

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275

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Geometry

The figure shows a rectangle with two identical circles cut out from it. What is the area of the shaded portion?
(Take π = 3.14)

Guest Jun 18, 2022

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271

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Help please

The postal service offers flat-rate shipping for priority mail in special boxes. Today, Hanson shipped 2 small boxes and 2 large boxes, which cost him $38 to ship. Meanwhile, Dave shipped 1 large box, and paid $14. How much does it cost to ship these two read more ..

Guest Jun 18, 2022

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292

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Algebra

Given that x = -5 is a root to the quadratic 2x^2 + px - 15 = 0, and the quadratic equation p(x^2 + x) + k = 0 has equal roots, find k.

Guest Jun 18, 2022

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265

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Help

Eli earned some money doing odd jobs last summer, but wants to buy a bike that costs twice that much. If he puts the money into an account that earns 12.23% interest compounded continuously, how long will it take for his money to double?

Guest Jun 18, 2022

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327

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modular arithmetic question

Find the remainder when 367^367^367 is divided by 11

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Guest Jun 18, 2022

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274

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Interest

For his birthday, Simon's parents gave him $4179.00 which they put into a savings account that earns 4.86% interest compounded quarterly. When Simon started university, he withdrew the entire balance of $4553.00 and used it to pay for tuition. read more ..

Guest Jun 18, 2022

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212

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help plz

Pat has two sheets of large, square stamps. One sheet consists of 9 stamps arranged in a 3-by-3 square. (That's 3 stamps by 3 stamps, not 3 inches by 3 inches.) The other sheet consists of 100 stamps arranged in a 10-by-10 square. The stamps on each read more ..

Guest Jun 18, 2022

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212

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coordinates

Given the points C(-1,-5) and D(-7,-11), find the coordinates of point E on CD such that the ratio of CE to ED is 5:8.

Guest Jun 18, 2022

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311

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help algebra

Suppose $\frac ab = \frac35$,$\frac bc=\frac{6}{15}$, and $\frac cd = \frac{1}{6}$. What is the value of $\frac ad$? Express your answer in simplest form.

Guest Jun 18, 2022

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216

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Polynomial

Find polynomial f(n) such that for all integers n>=1, we have

1*3 + 2*4 + 3*5 + ... + n*(n + 2) = f(n).
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Guest Jun 18, 2022

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256

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Sum

Find the closed form sum of 1*2*3 + 2*3*4 + 3*4*5 + ... + n(n + 1)(n + 2).

Guest Jun 18, 2022

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220

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Bases

What is the sum of all positive integers that have twice as many digits when written in base 2 as they have when written in base 4? Express your answer in base 10.

Guest Jun 18, 2022

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271

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sequence

In the sequence of numbers 3, 5, 2, ... each term after the first two is calculated as the term preceding it minus the term preceding that. So, for example, the third term is the second term minus the first term, i.e. 2 = 5 - 3. What is the sum of the first read more ..

Guest Jun 18, 2022

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