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All Questions
^{+0}
231597 Questions
0
8
0
+1071
System
The system of equation
\frac{xy}{x + y} = 1, \quad \frac{xz}{x + z} = 1, \quad \frac{yz}{y + z} = 5
has exactly one solution. What is $z$ in this solution?
kittykat
Mar 31, 2024
0
7
1
+1071
help me
Alice and Bob each have a certain amount of money. If Alice receives $n$ dollars from Bob, then she will have $10$ times as much money as Bob. If, on the other hand, she gives $n$ dollars to Bob, then she will have $4$ times as much money as
read more ..
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kittykat
Mar 31, 2024
0
5
1
+1791
Constant term
Find the constant term in the expansion of (2z - 1/sqrt(z))*5*(z - 1/sqrt(z))^3.
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tomtom
Mar 31, 2024
0
4
0
+1791
System
Let a and b be real numbers such that a^3 + 3ab^2 = 679 and 3a^3 - ab^2 = 615. Find a - b.
tomtom
Mar 31, 2024
0
6
1
+1791
Coefficient
Expand (x^2 + 1/x)*(x + x^4)^3.
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tomtom
Mar 31, 2024
0
2
1
+1791
Expand
Expand (x^2 + 1/x)*(x + x^4)^3.
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tomtom
Mar 31, 2024
0
2
1
+1211
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
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parmen
Mar 31, 2024
Mar 30, 2024
0
10
1
+1211
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
Mar 30, 2024
0
2
0
+1211
help geometry
In triangle $ABC$, let the perpendicular bisector of $BC$ intersect $BC$ and $AC$ at $D$ and $E$, respectively. If $BC = 20$ and $\angle C = 15^\circ$, then find the length of $BE$.
parmen
Mar 30, 2024
0
3
1
+1211
Geometry
In triangle $ABC$, $\angle ABC = 90^\circ$, and $D$ is on side $\overline{BC}$ such that $\overline{AD}$ bisects $\angle BAC$. If $AB = 4,$ $BC = 3$, and $AC = 5,$ then find the area of $\triangle ADC$. Round your answer to the nearest integer.
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parmen
Mar 30, 2024
0
10
1
+359
Probability
The numbers $x_1,$ $x_2,$ $x_3,$ $x_4$ are chosen at random in the interval $[0,1].$ Let $I$ be the interval between $x_1$ and $x_2,$ and let $J$ be the interval between $x_3$ and $x_4.$ Find the probability that intervals $I$ and $J$ both have
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ChiIIBill
Mar 30, 2024
0
9
2
+34
Complex Number Arithmetic
Compute
I got 0 but it was incorrect. I think I might be doing something wrong. Thanks!
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jilin73
Mar 30, 2024
0
6
1
+68
Let a_1, a_2, a_3, ... be an arithmetic sequence. Let S_n denote the sum of the first n terms. If S_5=1/5 and S_10=1/10 then find S_15
Let a_1, a_2, a_3, ... be an arithmetic sequence. Let S_n denote the sum of the first n terms. If S_5=1/5 and S_10=1/10 then find S_15
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SilviaJendeukie
Mar 30, 2024
0
10
1
+4
pls help!!!!! due soon
Let f(x)= |x| and g(x)=x^2
Find all values of x for which f(x)>g(x)
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bananapants25
Mar 30, 2024
0
3
1
+1071
Algebra
The quadratic equation $x^2-mx+24 = 10$ has roots $x_1$ and $x_2$. If $x_1$ and $x_2$ are integers, how many different values of $m$ are possible?
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kittykat
Mar 30, 2024
0
4
0
+1071
Domain
Find the domain of the function $f(x)=\frac{2x-7}{\sqrt{x^2}} - \sqrt{5x+6-11}$.
kittykat
Mar 30, 2024
0
7
1
+68
Arithmetic Sequence
Laverne starts counting out loud by 5's. She starts with 2. As Laverne counts, Shirley sums the numbers Laverne says. When the sum finally exceeds 1000, Shirley runs screaming from the room. What number does Laverne say that sends Shirley screaming
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SilviaJendeukie
Mar 30, 2024
0
5
0
+209
Probability
A box contains 24 tiles. Each tile has certain properties:
Each tile is made of wood or plastic.
Each tile is red, yellow, or blue.
Each tile is a triangle, square, pentagon, or circle.
There is exactly one tile
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fjeihqoO
Mar 30, 2024
0
7
2
+68
Arithmetic Sequence
Let a_1, a_2, a_3, ..., a_11, a_12 be an arithmetic sequence. If and , then find a_1.
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SilviaJendeukie
Mar 30, 2024
0
3
1
+1791
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
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tomtom
Mar 30, 2024
0
3
1
+1791
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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tomtom
Mar 30, 2024
0
4
0
+209
Algebra
A plane flies from Penthaven to Jackson and then back to Penthaven. When there is no wind, the round trip takes $3$ hours and $20$ minutes, but when there is a wind blowing from Penthaven to Jackson at $70$ miles per hour, the trip takes $3$ hours
read more ..
fjeihqoO
Mar 30, 2024
0
5
0
+209
Algebra
In physics, Ohm's law says that current through a wire, $I$, is directly proportional to voltage, $V$, and inversely proportional to resistance, $R$:
I = V/R
It's also true that resistance is directly proportional to the length of the wire.
read more ..
fjeihqoO
Mar 30, 2024
0
12
0
+209
Algebra
All members of our painting team paint at the same rate. If $40$ members can paint a $100$ square foot wall in $50$ minutes, then how long would it take the $40$ members to paint a $480$ square foot wall, in minutes?
fjeihqoO
Mar 30, 2024
0
5
0
+209
Painting
All members of our painting team paint at the same rate. If $45$ members can paint a specific wall in $60$ minutes, then how long would it take $12$ members to paint the same wall, in minutes?
fjeihqoO
Mar 30, 2024
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