All Questions ⁺⁰236350 Questions

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Algebra

Find the constant term in the expansion of (2z - 1/sqrt(z))*5*(z - 1/sqrt(z))^3.

hemiiI8675 Jan 8, 2025

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+60

Algebra

Find the coefficient of u^2*v^9 in (2u - 3*v^3)*5*(3u^3 - 2v^5)^3.

hemiiI8675 Jan 8, 2025

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+845

Algebra

A mathematician works for t hours per day and solves p problems per hour, where and are positive integers. One day, the mathematician drinks some coffee and discovers that he can now solve 4p+5 problems per hour. In fact, he only works read more ..

gnistory Jan 8, 2025

Jan 7, 2025

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+845

Algebra

In a store window, there was a box of berries having a total weight of 200 kg. The berries were 99% water, by weight. After two days in the sun, the water content of the berries was only 90%, by weight. What was the total weight of read more ..

gnistory Jan 7, 2025

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+1577

Number Theory

Find the remainder when $1! + 2! + 3! + \dots + 100!$ is divided by $2$.

Bosco ●●●

parmen Jan 7, 2025

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+939

Algebra

Let $f(x) = 3x - 8 + 4x^2$ and $g(x) = 15x + c - 3x^2$. Find $c$ if $(f \circ g)(x) = (g \circ f)(x)$ for all $x$.

AnswerscorrectIy Jan 7, 2025

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+939

Algebra

Find all points $(x,y)$ that are $5$ units away from the point $(2,7)$ and that lie on the line $y = 5x - 28.$

AnswerscorrectIy Jan 7, 2025

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+60

Logarithm

Solve the system of equations
y = \log_2 (2x)
y = log_4 (16 + x)

hemiiI8675 Jan 7, 2025

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+60

Proportion

In physics, Ohm's law says that current through a wire, $I$, is directly proportional to voltage, $V$, and inversely proportional to resistance, $R$:
I = V/R
It's also true that resistance is directly proportional to the length of the wire. read more ..

hemiiI8675 Jan 7, 2025

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+60

Rate question

A plane flies from Penthaven to Jackson and then back to Penthaven. When there is no wind, the round trip takes 3 hours and 36 minutes, but when there is a wind blowing from Penthaven to Jackson at 30 miles per hour, the trip takes 3 hours and 45 read more ..

hemiiI8675 Jan 7, 2025

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+60

Polynomials

What is the coefficient of x in (x^3 + x^2 + x + 1)(x^4 - 8x^3 + 17x^2 - 23x + 14)?

hemiiI8675 Jan 7, 2025

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+1520

Help with quadratics

Find all values of x such that x^2 - 5x + 4 = -x^2 - 25x - 14. If you find more than one value, then list your solutions, separated by commas.

kittykat Jan 7, 2025

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+9

Arithmetic Sequence

Let $a_1,$ $a_2,$ $a_3,$ $\dots,$ $a_8,$ $a_9,$ $a_{10}$ be an arithmetic sequence. If $a_1 + a_3 + a_5 + a_7 + a_9 = 5$ and $a_2 + a_4 + a_6 + a_8 + a_{10} = -2$, then find $a_1$.

hemii18675 Jan 7, 2025

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+1560

Geometry

The three angles of a triangle have measures $2x + 3y$ degrees, $8x + 15y$ degrees, and $4x - 2y$ degrees. Find $x$ (in degrees).

NotThatSmart ●

blackpanther Jan 7, 2025

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+1560

Geometry

In triangle ABC, the angles $\angle A,$ $\angle B,$ $\angle C$ form an arithmetic sequence. If \angle A = 60^\circ, then what is $\angle C,$ in degrees?

blackpanther Jan 7, 2025

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+522

Algebra

Let x and y be complex numbers. If x + y = 2 and xy = 7 - x^2 - y^2, then what is x^2 + y^2?

onyuIee Jan 7, 2025

Jan 6, 2025

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+380

Geometry

Point X is on side \overline{AC} of triangle $ABC$ such that $\angle AXB =\angle ABX + 20^\circ$, and $\angle ABC - \angle BAC = 36^\circ$. Find $\angle XBC$ in degrees.

MEMEG0D Jan 6, 2025

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+380

Geometry

Two angle bisectors of triangle ABC, $\overline {BE}$ and $\overline {CF}$, intersect at $P$. What is $\angle A$ in degrees?

MEMEG0D Jan 6, 2025

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