All Questions ⁺⁰230469 Questions

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153

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Domain

If h(x) is a function whose domain is [-8, 8], and g(x) = h(2x^2), then the domain of g(x) is an interval of what width?

Guest Jan 21, 2022

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299

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Algebra

If 2x = 5y and , what is the value of z/x expressed as a common fraction?

Guest Jan 21, 2022

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157

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Inverse function

If f(x) = ax + b and f^{(-1)}(x) = bx + 2a with a and b real, find a + b.

Guest Jan 21, 2022

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303

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Physics

a 30-kg girl and a 25-kg boy face each other on Friction-free roller blades. the girl pushes the boy, who moves away at a speed of 1m/s. what is the speed of the girl?

how do i calculate this?

Guest Jan 21, 2022

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282

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Multiples

How many positive multiples of 3 less than 1000 use only the digits 2 and/or 4?

Guest Jan 21, 2022

+1

282

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geometry

The figure below is not drawn to scale. We are given the angle measures in the figure below. Which of line AB, AC, AD, BC, BD, and CD is the shortest side?
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Guest Jan 21, 2022

Jan 20, 2022

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186

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Need help

What is the sum of all the odd integers between 500 and ?

Guest Jan 20, 2022

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150

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Polynomial

Find a monic quartic polynomial with rational coefficients whose roots include x = 1 - sqrt(2) and x = 2 + sqrt(7).

Guest Jan 20, 2022

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230

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Geometry

In trapezoid ABCD, line AB is parallel to line CD, and AB < CD. The base CD has a length of 8. The legs AD and BC have lengths of 6, and the diagonal BD has a length of . Find the area of the trapezoid.

Guest Jan 20, 2022

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298

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Geometry

In the diagram, triangle BDF and triangle ECF have the same area.. If DB = 2, BA = 3, and AE = , find the length of line EC. Diagram is below.

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Guest Jan 20, 2022

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420

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Probability question

The following cards are dealt to three people at random, so that everyone gets the same number of cards. What is the probability that everyone gets a red card?

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Guest Jan 20, 2022

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292

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Counting

At my office, 16 people own cats, 9 people own dogs, and people own both cats and dogs. How many people own a cat or a dog?

Guest Jan 20, 2022

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198

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Counting

There are 97 students in South High School. South High School offers only Chinese and Spanish. There are 5 more students in Chinese than in Spanish, and every student takes at least one language. If students take only Spanish, then read more ..

Guest Jan 20, 2022

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277

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Inequality

My street hockey team plays three games each week. My team lost all 12 games in the first four weeks. Then, my team won two games and lost one game in the fifth week, bringing our record to 2 wins and 13 losses. Each week after that, my team won two read more ..

Guest Jan 20, 2022

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171

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Inequality

Jeri finds a pile of money with at least $\200$. If she puts $\$80$ of the pile in her left pocket, gives away of the rest of the pile, and then puts the rest in her right pocket, she'll have more money than if she instead gave away $\$200$ read more ..

Guest Jan 20, 2022

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251

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Quadratic

Find a non-zero value for a such that ax^2 + 8x + 6 = has only one solution.

Guest Jan 20, 2022

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301

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Counting

In a three-digit number, the hundreds digit is greater than 7, the tens digit is greater than 2 but less than 6, and the units digit is the smallest prime number. How many three-digit numbers satisfy all of these conditions?

Guest Jan 20, 2022

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284

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Digits

When the base-b number 11011_b is multiplied by b, then is added, what is the result (written in base b)?

Guest Jan 20, 2022

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143

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Digits

Suppose that A , B, and C are non-zero distinct digits less than 6, and suppose we have AB_6 + C_6 = C0_6. Find the smallest possible value of A + B + C.

Guest Jan 20, 2022

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296

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Digits

What is the digit in the tens place when 11^(2005) is expressed in decimal notation?

Guest Jan 20, 2022

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175

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Algebra

Suppose x/(x^3 - x^2 - 21x + 45) = A/(x + 5) + B/(x - 3) + C/(x - 3)^2
where A, B, and C are real constants. What is A?

Guest Jan 20, 2022

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