All Questions

1148

Help me please! I’m More concerned with the steps

1. Manu determines the roots of a polynomial equation by applying the theorems he knows. He organizes the results of these theorems. From the fundamental theorem of algebra, Manu knows there are 3 roots to the equation. From Descartes’ rule of sign, Manu read more ..

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Guest Nov 29, 2019

-1

859

+71

Help pretty please (Happy Black Friday)

Use Trigonometric identities to simplify Trigonometric Expressions.
1.

2. read more ..

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Mathrules Nov 29, 2019

568

Help

How many odd factors does 2200 have?
also
what is the smallest odd integer with exactly 9 factors

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Guest Nov 29, 2019

1066

What is the smallest positive integer n such that, out of the n unit fractions 1/k where 1<=k<=n, exactly half of the fractions give a

What is the smallest positive integer n such that, out of the n unit fractions 1/k where 1<=k<=n, exactly half of the fractions give a terminating decimal?

<= means less than or equal to

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Guest Nov 29, 2019

659

All 6-digit integers

Of all 6-digit integers, how many have the property that the sum of the first 3 digits is equal to the sum of the last 3 digits and that are multiples of 10,007? Thank you for help.

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Guest Nov 29, 2019

755

help

Solve x^4 - 2x^3 - 15x^2 >= 0. Show all your steps!

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Guest Nov 29, 2019

500

help

Of the staff in an office, 15 rode a pushbike to work on Monday, 12 rode on Tuesday and 9 rode on Wednesday. If 22 staff rode a pushbike to work at least once during these three days, what is the maximum number of staff who could have ridden a pushbike read more ..

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Guest Nov 29, 2019

2018

HELP ME PLEASE THANK YOU

The nine points of this grid are equally spaced horizontally and vertically. The distance between two neighboring points is 1 unit. What is the area, in square units, of the region where the two triangles overlap?
read more ..

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Guest Nov 29, 2019

437

help

Six scouts are on a scouting expedition. They are going to the woods on Saturday, and into the mountains on Sunday. On both days, they have to go in pairs. The scoutmaster wants to group them into pairs for both expeditions in such a way that nobody has read more ..

Guest Nov 29, 2019

966

help

Jay owns a fleet of 24 shiny cars.
Each car has either standard transmission or automatic transmission
Each car is either black, white, or red
Each car is either a Toyota, Mercedes-Benz, Chevrolet, or Pinto
No two cars are the same for each read more ..

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Guest Nov 29, 2019

758

help

A number x satisfies x = 1/(1 + x). Determine x - 1/x.

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Guest Nov 29, 2019

876

+101

conics question

Let F_1 = ( -3, 1 - sqrt(5)/4) and F_ 2= ( -3, 1 + sqrt(5)/4). Then the set of points P$ such that |PF_1 - PF_2| = 1 form a hyperbola. The equation of this hyperbola can be written as ((y - k)^2)/(a^2) - ((x - h)^2)/(b^2) = 1,\]where read more ..

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chclt363 Nov 29, 2019

860

+38

Stuck on problem

Find a formula for the exponential function passing through the points (-1,2/3) and (1,6) Help much apprieciated can't figure this one out.

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evanborot Nov 29, 2019

2541

help

All six faces of a cube are painted blue. The cube is then cut into 125 smaller cubes, all the same size. One of the small cubes is chosen at random, and rolled. What is the probability that when it lands, the face on the top is blue?

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Guest Nov 29, 2019

Nov 28, 2019

-1

999

+143

Roots Problem

Babette is thinking of a monic quadratic polynomial with real coefficients. She tells you that when she squares the roots of her quadratic, to form another monic quadratic, surprisingly, it is the same as the original. How many different quadratic polynomials read more ..

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AoPS.Morrisville Nov 28, 2019

748

help

The first two positive integers n for which 1 + 2 + ... + n is a perfect square are 1 and 8. What are the next two?

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Guest Nov 28, 2019

935

+1995

A lunar lander

A lunar lander in powered descent at 100 m above the surface of the moon slows down from a velocity of 20 m/s to 0.5 m/s at constant acceleration. I have to assume that the lander has a mass of 20,000 kg and that burning the fuel does not change the mass. read more ..

jjennylove Nov 28, 2019

799

+312

MATHCOUNTS II

The same amount of steel used to create eight solid steel balls, each with a radius of 1 inch, is used to create one larger steel ball. What is the radius of the ball?

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mathleteig Nov 28, 2019

682

Graph of a circle

Find the radius of the circle with equation 9x^2-18x+9y^2+36y+44=0.

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explosivecow Nov 28, 2019

1205

help

What is the remainder when x^3 + x^6 + x^9 + x^27 is divided by x^2 - 1?

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Guest Nov 28, 2019

787

I'm stuck help

Solve the equation 9^(5-x)=1/(sqrt(15^(4x)). Express your answer in terms of ln3 and ln5.

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Guest Nov 28, 2019

1187

what is the center of a graph called?

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Guest Nov 28, 2019

529

Help me plzzz

NM is the median of trapezoid ABCD. If area of NMCD equals 2 times area of ABMN, what is CD/AB?

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Guest Nov 28, 2019

760

help

Two circles of radius 1 overlap so that the center of each lies on the circumference of the other. What is the area of their union?

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Guest Nov 28, 2019

497

help me plz

Points A, B, C, and D are in space such that each of TA, TB, and TC is perpendicular to the other two. If TA=TB=12 and TC=6, then what is the distance from T to face ABC?

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Guest Nov 28, 2019

All Questions ⁺⁰237641 Questions

Help me please! I’m More concerned with the steps

Help pretty please (Happy Black Friday)

Help

What is the smallest positive integer n such that, out of the n unit fractions 1/k where 1<=k<=n, exactly half of the fractions give a

All 6-digit integers

help

help

HELP ME PLEASE THANK YOU

help

help

help

conics question

Stuck on problem

help

Roots Problem

help

A lunar lander

MATHCOUNTS II

Graph of a circle

help

I'm stuck help

what is the center of a graph called?

Help me plzzz

help

help me plz

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