All Questions ⁺⁰237782 Questions

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CPhill answer me

Let $m$ and $n$ be positive integers. If $m$ has exactly $7$ positive divisors, $n$ has exactly $15$ positive divisors, and $mn$ has exactly $14$ positive divisors, then how many divisors does $m^2 n^2$ have?

cooIcooIcooI17 Aug 16, 2025

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31

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+190

Help me CPhill Now

Let $a$, $b$, $c$, and $n$ be positive integers. If $a + b + c = 19 \cdot 97$ and
a + 3n = b - 2n = \frac{c}{5n},
compute the value of $a$.

HumanBemg Aug 16, 2025

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31

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+499

Help me

Let $A$, $B$, and $C$ be constants so that
\frac{1}{x^3-2x^2-5x+9}=\frac{A}{x+5}+\frac{B}{x-3} + \frac{C}{(x - 3)^2}
holds for all real numbers $x$ other than $-5$ and $3.$ What is $A$?

bIueb3rry Aug 16, 2025

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27

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+23

NEED HELP CPhill ASAP

For integers $a$ and $T$, $T \neq 0,$ a parabola whose general equation is $y = ax^2 + bx + c$ passes through the points $A = (0,0),$, $B = (2T,0)$, $C = (2T + 1,28).$ and $N$ Let be the sum read more ..

Dragononweb2.0calc Aug 16, 2025

Aug 15, 2025

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27

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+417

Geometry

Let $WXYZ$ be a trapezoid with bases $\overline{XY}$ and $\overline{WZ}$. In this trapezoid, $\angle ZXW = 120^\circ$, $\angle XWZ = 60^\circ$, and $\angle XYZ = 120^\circ$. Find $\angle YXZ$, in degrees.

nathanl6656 Aug 15, 2025

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27

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+994

Math

I have to paint one side of a wall. The wall is $15$ meters tall and $60$ meters long. Each gallon of paint covers $400$ square feet. If a foot is approximately $0.3048$ meters, then what is the smallest whole number of gallons I can buy and read more ..

gnistory Aug 15, 2025

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+987

I need answer

Find all points $(x,y)$ that are $5$ units away from the point $(2,7)$ and that lie on the line $y = 5x - 28.$

booboo44 Aug 15, 2025

Aug 14, 2025

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31

6

+5

help me plz

In the diagram below, is a square. Find x[asy]
unitsize(1.5 cm);
pair A, B, C, D, P;
A = (0,3);
B = (0,0);<#> C = (3,0);<#> D = (3,3);<#> P = (0.8,1.8);<#> draw(A--B--C--D--cycle);<#> draw(A--P);<#> draw(B--P);<#> read more ..

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askdjlkadjwl123 Aug 14, 2025

Aug 13, 2025

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+314

help me now

Shown below is rectangle EFGH. Its diagonals meet at Y. Let $X$ be the foot if an altitude is dropped from $E$ to $\overline{FH}$. If EX = 24 and $GY = 30$, find the perimeter of rectangle $EFGH$.

CInsbstnkng Aug 13, 2025

Aug 11, 2025

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+314

Help help help

Find the sum of the squares of the roots of $2x^2+4x-1=x^2-8x+3$.

CInsbstnkng Aug 11, 2025

-1

31

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+314

Help me

Let $m$ be a real number. If the quadratic equation $x^2+mx+4 = 2x^2 + 17x + 8$ has two distinct real roots, then what are the possible values of $m$? Express your answer in interval notation.

CInsbstnkng Aug 11, 2025

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30

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+314

Help me!

Solve the system of equations
y = \log_2 (2x)
y = log_4 (16 + x)

CInsbstnkng Aug 11, 2025

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+314

Help

Find one ordered pair $(x,y)$ of real numbers such that $x + y = 10$ and $x^3 + y^3 = 162 + x^2 + y^2.$

CInsbstnkng Aug 11, 2025

Aug 10, 2025

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+314

help help

In triangle ABC, the angle bisector of angle BAC meets BC at D, such that AD = AB. Line segment AD is extended to E, such that angle DBE = angle BAD = 17 degrees. Find angle ABD.

CInsbstnkng Aug 10, 2025

Aug 9, 2025

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+314

HELP!!!

In trapezoid $PQRS,$ $\overline{PQ} \parallel \overline{RS}$. Let $X$ be the intersection of diagonals $\overline{PR}$ and $\overline{QS}$. The area of triangle $PQX$ is $2,$ and the area of triangle $RSX$ is $2.$ Find the area of trapezoid read more ..

CInsbstnkng Aug 9, 2025

Aug 8, 2025

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29

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+314

help me now

We have a triangle $\triangle ABC$ and a point $K$ on $BC$ such that $AK$ is an altitude to $\triangle ABC$. If $AC = 8,$ $BK = 2$, and $CK = 3,$ then what is $AB$?

CInsbstnkng Aug 8, 2025

-1

27

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+314

help!!!

Two tangents $\overline{PA}$ and $\overline{PB}$ are drawn to a circle, where $P$ lies outside the circle, and $A$ and $B$ lie on the circle. The length of $\overline{AB}$ is $4,$ and the circle has a radius of $5.$ Find the length $AB.$ read more ..

CInsbstnkng Aug 8, 2025

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+314

help me plz

Lines $XQ$ and $XR$ are tangent to a circle, as shown below. If $\angle XTU = 47^\circ$ and $\angle QAU = 65^\circ,$ then find $\angle QXR,$ in degrees.

CInsbstnkng Aug 8, 2025

Aug 7, 2025

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+314

help me!

For an integer $n,$ let $f(n)$ be the remainder when $n^8 + n^{16}$ is divided by $5.$ Compute $f(0) + f(1) + f(2) + f(3) + f(4).$

CInsbstnkng Aug 7, 2025

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+314

help help help

For a certain positive integer $n$, the number $n^{6873}$ leaves a remainder of $3$ when divided by $23.$ What remainder does $n$ leave when divided by $23$?

CInsbstnkng Aug 7, 2025

Aug 5, 2025

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+314

I need help

Let a and b be positive real numbers such that a + b = 1. Find the set of all possible values of a/b.

CInsbstnkng Aug 5, 2025

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