All Questions ⁺⁰238122 Questions

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332

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Probability

We draw a card from a standard deck. What is the probability that it is a Jack, Queen, King, or is it red?

Guest Dec 5, 2021

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403

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Algebra

The roots of the quadratic equation z^2 + bz + c = 0 are -7 + 2i and 7 - 2i. What is b+c?

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426

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help

Let f(y) = y^4 - 3y^3 + y - 3 and g(y) = y^3 + 7y^2 - 2. Find f(y) + g(y). Write your answer as a polynomial with terms of decreasing degree.

Guest Dec 5, 2021

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277

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geometry

In parallelogram ABCD, AC = 14 and BD = 28. Find AB^2 + BC^2 + CD^2 + DA^2.

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289

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Polynomials

Let f(x) = x^14 - 7x^9 - 3x^2 + 2 and g(x) = 2x^14 + 3x^10 - 6x^8 + 2x - 1. Let b be a constant. What is the smallest possible degree of the polynomial f(x) + b*g(x)?

If a is the constant the the largest possible read more ..

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Dec 4, 2021

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help with counting

At my office, 16 people own cats, 9 people own dogs, and 5 people own both cats and dogs. How many people own a cat or a dog?
(Remember that in mathematics, the word "or" is used in the inclusive sense. So if you own both a cat and a dog, then you are read more ..

Guest Dec 4, 2021

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281

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HELP PROVING THIS

In triangle ABC, AB=AC. Let M be the point on BC such that AM
bisects angle BAC. Prove M is the midpoint of BC and AM is
perpendicular to BC.

Guest Dec 4, 2021

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286

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bean

Guest Dec 4, 2021

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291

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Coordinates

The equation of the line passing through (1,11) and (4,8) can be expressed in the form
x/a + y/b = 1.
Find a.

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330

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Probability

Suppose I have a bag with 12 slips of paper in it. Some of the slips have a 2 on them, and the rest have a 7 on them. If the expected value of the number shown on a slip randomly drawn from the bag is 3.25 , then how many slips have a 2? read more ..

Guest Dec 4, 2021

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294

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geometry

Semi circles are constructed on the three sides of a triangle as shown below. Find the area of the shaded region

read more ..

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431

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hard

Suppose that 3^a = 2 and 3^b = 5. If 3^x = 150,then write an expression for x in terms of a and b

Guest Dec 4, 2021

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267

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help algebra

The smallest distance between the origin and a point on the graph of y = 1/3*x^2 - 9 can be expressed as a. Find a^2.

Guest Dec 4, 2021

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335

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Complex Numbers please help

Let z be a complex number such that
z^5 + z^4 + 2z^3 + z^2 + z = 0
Find all possible values of z

Guest Dec 4, 2021

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330

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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 Dec 4, 2021

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plz help asap thank u

what is the final concentration if mineral salt if 0.2g id dissolved in 10cm^3 of solvent and then 0.5cm^3 of this stock solution is diluted with a further 199.5cm^3 of solvent

Guest Dec 4, 2021

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291

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Binomial Theorem

What is the coefficient of x^3 in the expansion of (x + 2*sqrt(3))^5?

Guest Dec 4, 2021

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264

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Counting problem

The product of all digits of positive integer M is 105. How many such Ms are there with four digits?

Guest Dec 4, 2021

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306

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Quadratic

The equation y = -16t^2 + 80t describes the height (in feet) of a projectile launched from the ground at 80 feet per second. At what will the projectile reach 80 feet in height for the first time? Express your answer as a decimal rounded to the nearest read more ..

Guest Dec 4, 2021

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494

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can i put a factorial in there

can i put a factorial in there

Guest Dec 4, 2021

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MATH

During the rainy season the water level in a certain lake rises. A road already exists
through the school that goes over a circular lake. The local government wants to build
another road through the school that connects to this road but not go through read more ..

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Guest Dec 4, 2021

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Algebra

If (a + b)/(a - b) + (a - b)/(a + b) = 17/4, then what is a/b?

Guest Dec 4, 2021

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295

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Algebra

A rectangular prism has a total surface area of 48. Also, the sum of all the edges of the prism is 40. Find the length of the diagonal joining one corner of the prism to the opposite corner.

Guest Dec 4, 2021

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342

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Number Theory

Compute 35^1723-16^1723 modulo 6.

$\phantom{A rectangular prism has a total surface area of 48. Also, the sum of all the edges of the prism is 40. Find the length of the diagonal joining one corner of the prism to the opposite corner. read more ..

Guest Dec 4, 2021

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