All Questions ⁺⁰237767 Questions

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An antique silk rug is worth $12000 after it has appreciated by 5 % for ten consecutive years. How much was it worth ten years ago?

An antique silk rug is worth $12000 after it has appreciated by 5 % for ten consecutive years. How much was it worth ten years ago?
i dont understand what "appreciated by 5%" means. can anyone help?

Guest Aug 21, 2023

Aug 20, 2023

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124

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area of triangle

The formula for the area of a triangle is where is the base and is the height. Which equations are equivalent to the formula for the area of a triangle?

Guest Aug 20, 2023

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117

2

Please help, thank you! This was asked before but never answered

Find the function k(x) such that f is its own inverse.

Guest Aug 20, 2023

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4

67

1

+1348

modulo inverse

The sides of a right triangle are $60$, $221$, and $229$. Find the multiplicative inverse of $450$ modulo $7$. (Express your answer as an integer $n$ with $0\leq n<7$.)

sandwich Aug 20, 2023

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116

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ellipse

The equation of an ellipse is
\[\frac{x^2}{2} + y^2 = 1.\]
Let $F = (1,0).$ There exists a point $P = (p,0),$ where $p > 0,$ such that for any chord $\overline{AB}$ which contains $F,$ $\overline{FP}$ passes through the point $(-1,0)$. read more ..

Guest Aug 20, 2023

-2

109

0

+1348

decimals

Let $x$ be an integer greater than $1,$ and let
\[k = \frac{1}{20x + 5}.\]
If $k$ can be represented as a terminating decimal, then find the sum of all possible values of $k$.

sandwich Aug 20, 2023

-2

117

0

+1348

congruence

Find the largest four-digit negative integer that is congruent to $1 \pmod{28}$.

sandwich Aug 20, 2023

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2

79

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help pls

At a meeting, five scientists, two mathematicians, and a journalist are to be seated around a circular table. How many different arrangements are possible if the scientists must all sit together (in five consecutive seats) and the mathematicians must sit read more ..

Guest Aug 20, 2023

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57

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HELP PLS

At a meeting, five scientists, two mathematicians, and a journalist are to be seated around a circular table. How many different arrangements are possible if the scientists must all sit together (in five consecutive seats) and the mathematicians must sit read more ..

Guest Aug 20, 2023

0

103

1

+4

Let $f(x) = -7x^4-3x^2 + 2$ and $g(x) = 2x^4 - 6x^2 + 2x -1$. Determine all of the following for $f(x) \cdot g(x):$

Find leading term, Leading coefficient, degree, constant term, and coefficient of x^2

Melonify Aug 20, 2023

-1

107

1

+1932

function not defined

Find the product of all $x$ for which the expression $\frac{x^2+2x+1}{x^2+2x-3+x^2+8x+5}$ is undefined.

tomtom Aug 20, 2023

-1

115

0

+1932

domain

Find the domain of the function $f(x) =\dfrac{x^3-27}{\sqrt{x + 27}}$. (Express your answer using interval notation.)

tomtom Aug 20, 2023

-1

109

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+1932

domain

Find the domain of the function $f(x)=\log_2(\log_3 x + \log_4 x)$.

tomtom Aug 20, 2023

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126

2

+14

I need some help with this problem.

Trapezoid ABCD is inscribed in the semicircle with diameter AB, as shown below. If CD = 7, AD = 3, and BC = 3, then find the radius of the semicircle. read more ..

samsungtawe Aug 20, 2023

-1

51

1

+1932

domain

Find the domain of the function $f(x) = \frac{x^2 + 10x + 21}{x^2 - 4x - 21} + \frac{x^2 - 1}{x^2 - 4x + 4}$. (Express your answer using interval notation.)

tomtom Aug 20, 2023

-1

93

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+1932

help domain

What is the largest possible value not in the domain of $\log\frac{x-2}{x^2-5x - 6}$?

tomtom Aug 20, 2023

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102

2

+1932

domain

Find the real numbers $x$ that are not in the domain of
\[f(x)=\frac{1}{(x^2-6x+8)-(x^2+x-6)}.\]

tomtom Aug 20, 2023

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117

1

+309

Basic trig problem

Hello, I managed to get stuck on what looks to be a simple problem (again).
The problem in question was to solve for all possible values of x in the domain for the equation .
I lumped all terms to the left and read more ..

WhyamIdoingthis Aug 20, 2023

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99

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I need help

A median of a triangle is a line segment joining a vertex of a triangle to the midpoint of the opposite side. The three medians of a triangle are drawn below.

https://latex.artofproblemsolving.com/1/5/5/15593c90ce20b22893a1bd76ac6d5f6e3b61f5bb.png
Note read more ..

Guest Aug 20, 2023

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105

2

Combinatorics ( IOQM)

Find the number of positive integers N satisfying both the following conditions
I. 2 × 10⁷≤ N < 10⁸
2. The sum of the digits of N is not more than 4

Guest Aug 20, 2023

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90

3

+35

I need help

The system of equations has exactly one solution. What is in this solution?

Aarvin30 Aug 20, 2023

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