All Questions ⁺⁰237178 Questions

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Number Theory

A terminal zero is a $0$ that appears at the end of a number. For example, the number $3,800$ has two terminal zeros.
How many terminal zeroes does $40 \cdot 6 \cdot 75 \cdot 12$ have?

Jasmo Feb 8, 2025

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+452

Number Theory

The number $100$ has four perfect square divisors, namely $1,$ $4,$ $25,$ and $100.$
What is the smallest positive integer that has exactly $2$ perfect square divisors?

Jasmo Feb 8, 2025

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Number Theory

A positive integer is called nice if it is a multiple of $6.$
A certain nice positive integer $n$ has exactly $8$ positive divisors. What is the smallest possible value of $n$?

Jasmo Feb 8, 2025

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Number Theory

A positive integer is called nice if it is a multiple of $6.$
A certain nice positive integer $n$ has exactly $8$ positive divisors. How many prime numbers are divisors of $n?$

Jasmo Feb 8, 2025

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Number Theory

A positive integer is called terrific if it has exactly 5 positive divisors. What is the smallest terrific positive integer?

Jasmo Feb 8, 2025

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+452

Number Theory

A positive integer is called terrific if it has exactly 5 positive divisors. What is the largest number of primes that could divide a terrific positive integer?

Jasmo Feb 8, 2025

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+452

Number Theory

A positive integer is called terrific if it has exactly 5 positive divisors. What is the smallest number of primes that could divide a terrific positive integer?

Jasmo Feb 8, 2025

Feb 7, 2025

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+5

Help

A new car is purchased for 25000 dollars. The value of the car depreciates at 8.25% per year. What will the value of the car be, to the nearest cent, after 15 years?

Coolpuppet390 Feb 7, 2025

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Counting

Starting with the A moving one letter at a time vertically, horizontally, or diagonally, how many different paths spell ARCH?
A
RRR
CCCCC read more ..

Jasmo Feb 7, 2025

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Counting

In how many ways can three pairs of siblings from different families be seated in two rows of three chairs, if siblings may sit next to each other in the same row, but no child may sit directly in front of their sibling?

Jasmo Feb 7, 2025

Feb 6, 2025

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+452

Counting

In how many ways can we distribute 13 pieces of identical candy to 5 kids, if the two youngest kids are twins and insist on receiving at least four pieces each?

Jasmo Feb 6, 2025

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+452

Counting

Catherine rolls a standard $6$-sided die six times. If the product of her rolls is $6,$ then how many different sequences of rolls could there have been? (The order of the rolls matters.)

Jasmo Feb 6, 2025

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Counting

A baking club wants to form an executive committee. There are $15$ people in the baking club, including Mark. In how many ways can the baking club form an executive committee with $2$ people, not including Mark?

Jasmo Feb 6, 2025

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Algebra

Real numbers a and b satisfy
a + ab = 250
a - ab = -240
Enter all possible values of a, separated by commas.

Jasmo Feb 6, 2025

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+452

Algebra

Fill in the blanks to make a quadratic whose roots are $1$ and $-1.$
x^2 + ___ x + ___

Jasmo Feb 6, 2025

Feb 5, 2025

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+452

Algebra

Find the largest integer k such that the equation 5x^2 - kx + 8 - 2x^2 + 25 =0 has no real solutions

Jasmo Feb 5, 2025

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+452

Algebra

Find the discriminant of the quadratic 5x^2 - 2x + 8 - 2x^2 + 6x + 2.

Jasmo Feb 5, 2025

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Algebra

The roots of Ax^2+Bx+1 are the same as the roots of x^2- 3x + 5 + x^2 - 2x + 1. What is A+B?

Jasmo Feb 5, 2025

Feb 4, 2025

+3

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+111

algebra

what is the answer to 2x+86y+17=-4

thatgirlaj Feb 4, 2025

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+1734

Geometry

In triangle $ABC,$ $BC = 32,$ $\tan B = \frac{3}{5},$ and $\tan C = \frac{1}{4}.$ Find the area of the triangle.

blackpanther Feb 4, 2025

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