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Post New Question
All Questions
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231295 Questions
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27
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+25
help
Suppose x-3 and y+3 are multiples of 7. What is the smallest positive integer, n, for which x^2+xy+y^2+n is a multiple of 7? By the way it's not 4
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invalid
Aug 28, 2023
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36
0
help
A mathematician works for t hours per day and solves p problems per hour, where t and p 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 for t-3
read more ..
Guest
Aug 28, 2023
0
25
1
A carpenter bought a piece of wood that was 0.82 meters long. Then she sawed 0.03 meters off the end. How long is the piece of wood now?
A carpenter bought a piece of wood that was 0.82 meters long. Then she sawed 0.03 meters off the end. How long is the piece of wood now?
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Guest
Aug 28, 2023
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29
8
+19
counting and probability T_T
1) In how many ways can indistinguishable balls be distributed among distinguishable boxes labeled with the numbers and so that for each integer the box labeled with the number has at least balls?
2) A
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froagt
Aug 28, 2023
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31
1
help plz
Three points lie on the graph of the parabola $y = x^2$. The three points form an equilateral triangle. One of the vertices is at the vertex of the parabola, and the other two points lie on the line $y = k$. What is the value of $k?$
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Guest
Aug 28, 2023
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36
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help algebra
Let $a$ and $b$ be the roots of the quadratic equation $2x^2 - 7x + 2 = -x^2 + 4x + 9.$ Find $\frac{1}{a-1}+\frac{1}{b-1}.$
Guest
Aug 28, 2023
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34
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help me
The vertices of a triangle are the points of intersection of the line $y = -x-1$, the line $x=2$, and $y = x +2$. Find the center of the circle passing through all three vertices.
Guest
Aug 28, 2023
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34
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cones
A sphere is inscribed in a cone with height $3$ and base radius $5$. What is the ratio of the volume of the sphere to the volume of the cone?
Guest
Aug 28, 2023
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30
1
help geometry
Let $AC$ be a diameter of a circle $\omega$ of radius $1$, and let $D$ be the point on $AC$ such that $CD = \frac{1}{5}$. Let $B$ be the point on $\omega$ such that $DB$ is perpendicular to $AC$, and let $E$ be the midpoint of $DB$. Compute length $AE$
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Guest
Aug 28, 2023
-3
42
2
+819
triangles
Find the radius of the incircle of triangle $ABC$.
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maximum
Aug 28, 2023
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33
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positive integers
If x, y, and z are positive integers such that 6xyz + 30xy + 18xz + 12yz + 12x + 15y + 7z = 118, find x + y + z.
Guest
Aug 28, 2023
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38
0
help me
Find the sum of all values of $k$ for which $x^2 + kx - 9x + 25 - 9$ is the square of a binomial.
Guest
Aug 28, 2023
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42
4
math
what does diameter mean
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Guest
Aug 28, 2023
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30
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help
If $x$, $y$, and $z$ are positive integers such that $6xyz+30xy+3xz+8yz+15x+40y+4z=127$, find $x+y+z$.
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Guest
Aug 28, 2023
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17
2
what times what equals -8
what times what equals -8
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Guest
Aug 28, 2023
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36
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+1679
polynomials
A polynomial with integer coefficients is of the form
\[28x^4 + a_3 x^3 + a_2 x^2 + a_1 x + 1 = 360.\]
Find the number of different possible rational roots of this polynomial.
wiseowl
Aug 28, 2023
0
26
0
+1679
polynomials
Find all integer values of $a$ so that the polynomial
\[x^3 + 3x^2 + ax + 8 = 0\]
has at least one integer root. Enter all possible values of $a,$ separated by commas.
wiseowl
Aug 28, 2023
0
29
0
+1679
polynomials
In a certain polynomial, all the coefficients are integers, and the constant coefficient is $100000$. All the roots are integers, and distinct. Find the largest possible number of integer roots.
wiseowl
Aug 28, 2023
+1
27
14
+0
Please Help
How many positive integers from 1 to 5000 satisfy both congruences, 5 (mod 12) and 11(mod 13)
and by the way how do i become a 'member'?
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SophieC18768
Aug 28, 2023
-1
19
3
-6
Question!
Through how many different positive angles less than 360 degrees is it possible to rotate a regular icosagon (20-gon) clockwise about its center such that its image coincides with the original icosagon?
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Cinderella
Aug 28, 2023
0
39
0
quadratic
The real numbers $x$ and $y$ satisfy the equation $x^2+y^2=14x+48y-8x-26y+16$. What is the minimum value of $y$?
Guest
Aug 28, 2023
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