All Questions ⁺⁰237641 Questions

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If a, b, and c are different numbers and if a^3 + 3a + 14 = 0, b^3 + 3b + 14 = 0, and c^3 + 3c + 14 = 0, find the value of 1/a + 1/b + 1/c.

Guest Dec 7, 2019

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740

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If a,b,c are integers from the set of positive integers less than 7 such that

then what is the remainder when a+b+c is divided by 7?

Guest Dec 7, 2019

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703

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+101

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Find the remainder when the polynomial x^1000 is divided by the polynomial (x^2 + 1)(x + 1).

Thanks for your time! read more ..

chclt363 Dec 7, 2019

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581

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probability problem

Every time I use a piece of scrap paper, I crumple it up and try to shoot it inside the recycling bin across the room. I'm pretty good at it: If I shoot 5 pieces of paper at the recycling bin, at least one of them will make it inside the recycling bin with read more ..

Guest Dec 7, 2019

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657

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A train, x meters long, traveling at a constant speed, takes 20 seconds from the time it first enters a tunnel 300 meters long until the time it completely emerges from the tunnel. One of the stationary ceiling lights in the tunnel is directly above read more ..

Guest Dec 7, 2019

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443

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The roots of x^3 + 2px^2 - px + 10 = 0 are integral and form an arithmetic progression. Find p.

Guest Dec 7, 2019

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465

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The lengths of the sides of a triangle are 6, 8, and 10. Find the area of the larger of the two triangles into which the bisector of the larger acute angle partitions the original triangle.

Guest Dec 7, 2019

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593

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Some people agree to share in the cost of buying a boat. If ten of them later decide not to buy in, each of those remaining would have to chip in one dollar more. If the sole payment actually occurs after an additional fifteen people drop out, read more ..

Guest Dec 7, 2019

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515

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Find all positive real values of x that satisfy

Guest Dec 7, 2019

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721

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Solve |x| + 3 - |x + 3| = 6.

Guest Dec 7, 2019

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466

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The ratio of the width of a rectangle to its length equals the ratio of its length to half its perimeter. If the area of the rectangle is 50 (sqrt(5) - 1) and the width of the rectangle is k (sqrt(5) - 1), compute the value of k.

Guest Dec 7, 2019

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429

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If a > 0, b > 0, and
then write a equation epxressing a in terms of b.

Guest Dec 7, 2019

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592

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Find the value of the infinite continued fraction

Guest Dec 7, 2019

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566

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Solve the inequality 5/3*t + 2 < -7t + 8.

Guest Dec 7, 2019

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487

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Given that x and y are real numbers such that 5x + 2y >= 10 and x + 3y >= 6, find the minimum value of x + y. Show all your steps!

Guest Dec 7, 2019

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429

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The length of each side of square ABCD is 12. Points E, F, G, and H are the trisection points of AB, BC, CD, and DA, nearer A, B, C, and D, respectively. Find the area of the region bounded by AG, BG, CH, and DE.

Guest Dec 7, 2019

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589

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A factory manufactures doodads and whirligigs. It costs $2 and takes 3 hours to produce a doodad. It costs $4 and takes 2 hours to produce a whirligig. The factory has $220 and 150 hours this week to produce these products. If each doodad sells for $6 and read more ..

Guest Dec 7, 2019

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598

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Find the linear inequality that corresponds to the following graph.

Guest Dec 7, 2019

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474

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Solve the inequality 8x - 3 < 2x + 4.

Guest Dec 7, 2019

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868

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francais

aaaaa help moi plasir

Guest Dec 7, 2019

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746

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help

a) Let $\mathcal{R}$ be the region consisting of the points $(x,y)$ that satisfy \[-6 \le 3x - 5y \le 6\]and \[-3 \le x + 2y \le 3.\]Plot the region $\mathcal{R},$ and identify the vertices of polygon $\mathcal{R}.$
(b) Find the maximum value of read more ..

Guest Dec 7, 2019

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512

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plz help

a) Let $\mathcal{R}$ be the region consisting of the points $(x,y)$ that satisfy \[-6 \le 3x - 5y \le 6\]and \[-3 \le x + 2y \le 3.\]Plot the region $\mathcal{R},$ and identify the vertices of polygon $\mathcal{R}.$ (
b) Find the maximum value of read more ..

Guest Dec 7, 2019

+1

1705

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The ratio of the four sides of a trapezoid is 2:1:1:1. The area of the trapezoid is 27*sqrt3 Find the length of the median of the trapezoid.

Guest Dec 7, 2019

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470

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Find all real numbers $t$ such that $\frac{2}{3} t - 1 < t + 7 \le -2t + 15$.
Give your answer as an interval.

Guest Dec 7, 2019

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1447

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ABCD is a regular tetrahedron (right pyramid whose faces are all equilateral triangles). If M is the midpoint of CD, then what is cos ABM?

ABCD is a regular tetrahedron (right pyramid whose faces are all equilateral triangles). If M is the midpoint of CD, then what is cos ABM?

Guest Dec 7, 2019

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