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All Questions
^{+0}
234148 Questions
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3
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+2518
help me!
Let x be a real number such that x^2 + 7x + 12 <= 0. Find the largest possible value of x^2 + 2x + 1.
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LiIIiam0216
Jun 19, 2024
0
6
1
+347
Someone help
We introduced as a square root of -1. Does itself have any square roots among the complex numbers? If so, name one. If not, answer with "None."
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Lilliam0216
Jun 19, 2024
-1
2
2
+1646
Number Theory
When fractions are expressed in different bases, they can be terminating or repeating. For example, when $\frac{1}{5}$ is expressed in base $3,$ the result is
0.\overline{0121}_3 = 0.01210121 \dots,
which is repeating.
When
read more ..
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ABJeIIy
Jun 19, 2024
-1
3
1
+1646
Number Theory
Find the greatest prime divisor of the value of the arithmetic series
1 + 2 + 3 + \dots + 200
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ABJeIIy
Jun 19, 2024
-1
8
0
+1646
Number Theory
What is the smallest prime divisor of 5^{19} + 7^{13} + 23?
ABJeIIy
Jun 19, 2024
-1
5
0
+1646
Number Theory
How many bases b \ge 2 are there such that 100_b + 1_b is prime?
ABJeIIy
Jun 19, 2024
0
3
1
+2518
help coordinates
A line and a circle intersect at A and B. Find the coordinates of the midpoint of \overline{AB}.
The ilne is y = 3x - 2, and the circle is (x - 4)^4 + (y - 5)^2 = 68.
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LiIIiam0216
Jun 19, 2024
0
3
1
+2518
need help
Let $x$ and $y$ be real numbers such that $x^2 + y^2 = 4x + 12y.$ Find the largest possible value of $x + y.$ Give your answer in exact form using radicals, simplified as far as possible.
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LiIIiam0216
Jun 19, 2024
0
4
1
+347
Math is not matching
We introduced as a square root of -1. Does itself have any square roots among the complex numbers? If so, name one. If not, answer with "None."
●
Lilliam0216
Jun 19, 2024
-1
2
1
+1646
Number Theory
Let N be a positive integer. The number N has three digits when expressed in base 7. When the number N is expressed in base 5, it has the same three digits, in reverse order. What is N? (Express your answer in decimal.)
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ABJeIIy
Jun 19, 2024
-1
6
0
+1646
Number Theory
What are the first 5 digits after the decimal point (technically the hexadecimal point...) when the fraction \frac{2}{23} is written in base 16?
Express your answer as a five digit hexadecimal number. You do not need to include
read more ..
ABJeIIy
Jun 19, 2024
-1
4
1
+1646
Number Theory
Find the smallest positive integer B so that when we express the decimal number 250 as a base B number, we still get a 2-digit number.
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ABJeIIy
Jun 19, 2024
-1
4
1
+1646
Need help with number theory
Find the $4000$th digit following the decimal point in the expansion of $\frac{1}{17}$
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ABJeIIy
Jun 19, 2024
0
1
1
+840
Algebra
Let $x$ and $y$ be real numbers such that $x^2 + y^2 = 4x + 12y.$ Find the largest possible value of $x + y.$ Give your answer in exact form using radicals, simplified as far as possible.
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Rangcr897
Jun 19, 2024
0
4
1
+840
Algebra
For an integer n, the inequality
x^2 + nx + 15 < -21 - 7x + x^2
has no real solutions in x. Find the number of different possible values of n.
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Rangcr897
Jun 19, 2024
-3
3
0
+154
Counting
There is a group of five children, where two of the children are twins. In how many ways can I distribute $8$ identical pieces of candy to the children, if the twins must get at least one piece of candy each?
BRAlNBOLT
Jun 19, 2024
-3
13
0
+154
Counting
In how many ways can you distribute $8$ indistinguishable balls among $2$ distinguishable boxes, if at least one of the boxes must be empty?
BRAlNBOLT
Jun 19, 2024
0
8
2
+42
Algebra Question
I found a really interesting problem with a nice solution.
Find the number of real solutions to this equation.
I may have remembered the problem wrong ;-;
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Tottenham10
Jun 19, 2024
-3
4
1
+154
Counting
Find the number of ways of choosing three circles below, so that no two circles are next to each other.
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BRAlNBOLT
Jun 19, 2024
-3
3
0
+154
Counting
Annville Junior High School has a math club and a science club. There are $3$ students in the math club and $3$ students who are members of both clubs. There are twice as many students in the science club as in the math club. Find
read more ..
BRAlNBOLT
Jun 19, 2024
-3
2
1
+154
Counting
Annville Junior High School has a math club and a science club. There are $3$ students in the math club and $3$ students who are members of both clubs. There are twice as many students in the science club as in the math club. Find
read more ..
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BRAlNBOLT
Jun 19, 2024
0
1
1
+1443
Geometry
Let G be the center of equilateral triangle XYZ A dilation centered at G with scale factor -1 is applied to triangle XYZ to obtain triangle X'Y'Z' Let A be the area of the region that is contained inside both triangles XYZ and X'Y'Z' Find
read more ..
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parmen
Jun 19, 2024
0
2
1
+1443
Geometry
In triangle $ABC$, $M$ is the midpoint of $\overline{BC}$, and $N$ is the midpoint of $\overline{AC}$. The perpendicular bisectors of $BC$ and $AC$ intersect at a point $O$ inside the triangle. If $\angle AOB = 90^\circ$, then find the measure
read more ..
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parmen
Jun 19, 2024
0
3
1
+1443
Geometry
Points $A$, $B$, and $C$ are on a circle such that $AB = 8$, $BC = 15$, and $AC = 12$. Find the radius of the circle.
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parmen
Jun 19, 2024
0
2
1
+1443
Geometry
In triangle $ABC$, let $I$ be the incenter of triangle $ABC$. The line through $I$ parallel to $BC$ intersects $AB$ and $AC$ at $M$ and $N$, respectively. If $AB = 5$, $AC = 5$, and $BC = 8$, then find the area of triangle $AMN$.
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parmen
Jun 19, 2024
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