All Questions ⁺⁰237695 Questions

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319

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help Algebra

Dr. Worm leaves his house at exactly 7:20 a.m. every morning. When he averages 45 miles per hour, he arrives at his workplace five minutes late. When he averages 63 miles per hour, he arrives five minutes early. What speed should Dr. Worm average to arrive read more ..

Guest Dec 31, 2021

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322

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Counting

Mr. and Mrs. Lopez have three children. When they get into their family car, two people sit in the front, and the other three sit in a row in the back. Either Mr. Lopez or Mrs. Lopez must sit in the driver's seat. How many seating arrangements are read more ..

Guest Dec 31, 2021

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309

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help plz

What is the absolute difference between the sum of the first 10 positive multiples of 5 and the sum of the first 10 positive, even integers?

Guest Dec 31, 2021

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385

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Geometry

A sector of a circle has a central angle of 80 degrees. If the area of the sector is 48pi, what is the radius of the circle?

Guest Dec 31, 2021

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316

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number theory

how many 5 digit paliindromes are divisible by 11?

Guest Dec 31, 2021

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326

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Number Theory

How many natural numbers greater than 6 but less than 60 are relatively prime to 14?

Guest Dec 31, 2021

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303

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geometry question

ABCD is a square. Points P, Q are chosen on sides BC,CD such that BP=4, DQ=5 and ∠PAQ=45∘. The side length of ABCD can be written as where a,b are positive integers. Find b.

Guest Dec 31, 2021

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297

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Number Theory

How many positive divisors of 50! are prime?

Guest Dec 31, 2021

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389

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Counting

How many different rectangles with sides parallel to the grid can be formed by connecting four of the dots in a 5*5 square array of dots, as in the figure below?

(Two rectangles are different if they do not share all four vertices.) read more ..

Guest Dec 31, 2021

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335

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Counting problem

How many 4-letter words with at least one consonant can be constructed from the letters A, B, C, D, E, and F? (Note that B, C, D, and F are consonants, any word is valid, not just English language words, and letters may be used more than once.) read more ..

Guest Dec 31, 2021

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389

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Series

Calculate the sum of the geometric series 1 + 1/5^2 + 1/5^4 + .... Express your answer as a common fraction.

Guest Dec 31, 2021

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309

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Geometry

One of the exterior angles of an isosceles triangle is 84 degrees. Find the angle between the base of the triangle and the altitude drawn to one of the legs.

Guest Dec 31, 2021

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334

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I have trouble with piecewise functions.

If\[f(x) = \begin{cases} 2x-5 &\quad \text{if } x \ge 3, \\ -x + 5 &\quad \text{if } x < 3, \end{cases} \]then for how many values of $x$ is $f(f(x)) = 3$?

Guest Dec 31, 2021

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313

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Ratios

Hugo sells handmade key chains online. Yesterday, he made 6 keychains in 30 minutes. Hugo wants to make 9 keychains today. If Hugo works at the same rate today, how long will it take him to make the keychains?

Guest Dec 31, 2021

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450

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HELP!

Contractor Steve agreed to complete a job in 30 days. After 6 days he found that the 8 people assigned to the work had already done 1/3 of the job. If everyone works at the same rate, what is the least number of people he must keep on the job to ensure read more ..

Guest Dec 31, 2021

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377

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how 65

Guest Dec 31, 2021

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404

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?????

Guest Dec 31, 2021

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393

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?????

Guest Dec 31, 2021

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266

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Algebra

Find the total number of terms in the expansion of (x + a)^11 - (x - a)^11 after simplification.

Guest Dec 31, 2021

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408

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help algebra

If 6a^2 + 5a + 4 = 3 + 5a^2 + 11a + 5, then what is the smallest possible value of 2a + 1?

Guest Dec 31, 2021

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249

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help me please calc3

Let f(x,y)=xe^−y+5y
1-Find the slope of the surfacez = f(x,y) in the x-direction at the point (3,0)
2-Find the slope of the surfacez = f(x,y) in the y-direction at the point (3,0)

Guest Dec 31, 2021

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314

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Percent

A stock loses 10% of its value on Monday. On Tuesday it loses 20% of the value it had at the end of the day on Monday. On Wednesday it loses 30% of the value it had at the end of the day on Tuesday. What is the overall percent loss in value from the beginning read more ..

Guest Dec 31, 2021

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265

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Polynomials

Jamie and Billy each think of a polynomial. Each of their polynomials is monic, has degree 3, and has the same positive constant term and the same coefficient of x. The product of their polynomials is x^6 +2x^5 +2x^4 +18x^3 + 33x^2+40x+81. What read more ..

Guest Dec 31, 2021

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252

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Counting

An ordinary 6-sided die has a number on each face from 1 to 6 (each number appears on one face). How many ways can I paint two faces of a die blue, so that the product of the numbers on the painted faces isn't equal to 4?

Guest Dec 31, 2021

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319

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The Skeeter weigh

Rita, Peter, and Skeeter are penguins. They weigh 90 pounds altogether. Rita and Peter know they weigh the same amount. Peter and Skeeter know they weigh 68 pounds together. How much does Skeeter weigh?

Guest Dec 31, 2021

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