All Questions ⁺⁰237785 Questions

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297

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Number Theory

A very large number x is equal to $2^2 \cdot 3^3 \cdot 4^4 \cdot 5^5 \cdot 6^6$. What is the smallest positive integer that, when multiplied with x, produces a product that is a perfect square?

Guest Jan 14, 2022

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326

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geometry

If you could explain how you got the answer that would be appreciated
The side lengths of an equiangular octagon are 1, 2, 3, 4, 1, 2, 3, and 4 in clockwise order. Find the octagon's area. Enter your answer in the form in simplest radical read more ..

Guest Jan 14, 2022

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252

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Algebra

Let x, y, and z be nonzero real numbers. Find all possible values of x/|x| + y/|y| + z/|z|.

Guest Jan 14, 2022

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256

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Logarithms

Suppose a does not equal 0. Compute log_{2^a} 8^b in terms of a and b.

Guest Jan 14, 2022

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340

1

Probability

If I roll a fair, regular six-sided die four times, what is the probability that I will roll the number 5 exactly two times?

Guest Jan 14, 2022

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330

2

weird polygon thing

The side lengths of an equiangular octagon are 1, 2, 3, 4, 1, 2, 3, and 4 in clockwise order. Find the octagon's area.
Enter your answer in the form in simplest radical form.
read more ..

Guest Jan 14, 2022

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370

2

Probability

If 8 numbers are chosen at random from the first 16 positive integers, what is the probability that an additional number chosen at random from the remaining 8 numbers is less than any of the 8 previously chosen numbers?

Guest Jan 14, 2022

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397

2

Stats

Suppose ten distinct, positive integers have a median of . ("Distinct integers" means that no two integers are the same.) What is the smallest the average of those ten integers could be?

Guest Jan 14, 2022

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500

2

geometry

How many square units are in the area of the enclosed region in the diagram? All angles pictured are right angles

Guest Jan 14, 2022

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276

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Graphing

Find area of the isosceles triangle formed by the vertex and the x-intercepts of parabola .

Guest Jan 14, 2022

Jan 13, 2022

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311

1

Algebra

The expression 6x^2 + 17x + 5 can be written in the form (Ax+1)(Bx+5) where A and B are integers. What is the value of AB?

Guest Jan 13, 2022

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385

2

help math

If (x+1/x):(x-7/x)=5:4, then find the value of x.

Guest Jan 13, 2022

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247

0

Number Theory

When N is divided by 10, the remainder is a. When N is divided by , the remainder is b. What is N modulo , in terms of a and b?

Guest Jan 13, 2022

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366

1

Algebra

Let a and b with a > b > 0 be real numbers satisfying a^3 + b^3 = a + b. Find $\frac{(a + b)^2 - 1}{ab}$ .

Guest Jan 13, 2022

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308

1

Algebra

Find the largest integer k such that the equation 5x^2 - kx + 88 = 0 has no real solutions.

Guest Jan 13, 2022

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579

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Expected Value

Kiran has a sock drawer that has 7 different pairs of matching socks. Every day for a week, he pulls out two socks at random (without replacement). What is the expected number of days that Kiran wears matching socks?

Guest Jan 13, 2022

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304

1

Inequality

Find all real numbers K such that the inequality x^2 - 2(4K-1)x + 15K^2 - 2K- 7> 0 holds for all real x.

Guest Jan 13, 2022

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439

1

math

The size of a typical city park is about 5 acres, or 217,800 square feet. If a developer plans to build two basketball courts in a new city park that are 5,000 square feet each, what percent of the park will be used for other activities?

Guest Jan 13, 2022

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293

1

Number Theory

Suppose that x, y, z are positive integers, and such that the product of all three numbers is twice their sum plus one. Find all solutions.

Guest Jan 13, 2022

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309

1

Percent

Before the break, Middle School had 200 Students in person. This semester there are more students coming back to in-person at Middle School 240 students. What is the percent increasing?

A. 20%
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Guest Jan 13, 2022

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301

1

Coordinates

The points (2,3) and lie on a circle whose center is on the x-axis. What is the radius of the circle?

Guest Jan 13, 2022

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312

1

Function Question

f(170)=-14cos(5(170))+15

Guest Jan 13, 2022

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263

0

Math problem

In the equation 1/j + 1/k = , both j and k are positive integers. What is the sum of all possible values for k?

Guest Jan 13, 2022

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261

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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 Jan 13, 2022

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