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All Questions
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215361 Questions
0
36
1
sequence problem
The sum of the first n terms of a certain sequence is n(n + 1)(n - 2). Find the tenth term of the sequence.
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Guest
Jun 22, 2022
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40
1
pls help!
Given the following list of numbers: $\frac{3}{5}, \frac{5}{6}, \frac{2}{3}, \frac{9}{8}, \frac{7}{9}, \frac{3}{4}$ what is the smallest number subtracted from the biggest number? Express your answer as a decimal.
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Guest
Jun 22, 2022
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26
0
help pls, ty
prove that 2a^2+3b^2+6c^2 ≥ (a+b+c)^2
i tried using cauchy schwarz but i got sort of stuck with coming up with the LHS, can someone please help, thank you
Guest
Jun 22, 2022
0
40
1
Quadratic
For specific positive numbers m and n, the quadratics 16x^2 + 44x + 56 + 4x^2 - 14x - 30 and (mx + n)^2 differ only in their constant term. What is mn?
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Guest
Jun 22, 2022
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50
2
Probability question
Cosmin has three ping pong balls, and ten cups in front of him. If he throws the ping pong balls into the cups, what is the probability that exactly two balls land in the same cup? (A ping pong ball has an equal probability of landing in any cup.)
read more ..
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Guest
Jun 22, 2022
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42
1
Binomial
What non-zero integer must be placed in the square so that the simplified product of these two binomials is a binomial: $(3x+1)(12x-\Box )$?
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Guest
Jun 22, 2022
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34
2
Sequence
The first term of a sequence is 13. Starting with the second term, each term is the sum of the cubes of the digits in the previous term. For example, the second term is 1^3 + 3^3 = 28. Find the 5th term.
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Guest
Jun 22, 2022
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34
1
Function
Let
f(x) = -x + 3 if x >= 1
f(x) = 2x + 1 if x < 1
Find the sum of all values of x such that f(x) = 0
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Guest
Jun 22, 2022
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50
0
A city's soccer coaches conducted a survey of 50 city soccer players. These players were chosen at random from the city's soccer teams' rost
A city's soccer coaches conducted a survey of 50 city soccer players. These players were chosen at random from the city's soccer teams' rosters. Participants were asked the question, "Do you prefer to drink water or a sports drink after playing in a soccer
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Guest
Jun 22, 2022
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31
1
counting problem
Dogs in the GoodDog Obedience School win a blue ribbon for learning how to sit, a green ribbon for learning how to roll over, and a white ribbon for learning how to stay. There are dogs in the school.
62 have blue ribbons, 55 have green
read more ..
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Guest
Jun 22, 2022
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40
2
Probability
The faces of two regular dodecahedra are labeled with the numbers 1 to 12 in order to make dice. If these dice are rolled, what is the probability that the sum of the two top numbers is greater than 16?
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Guest
Jun 22, 2022
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33
1
need help
A box contains 4 white balls and 5 red balls. I draw 3 of them out of the box, one at a time, and set them aside. What is the probability that all three balls have the same color?
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Guest
Jun 22, 2022
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30
1
quadratic
There are two distinct solutions x to the equation 18 + 5x^2 = 30x. If each solution is rounded to the nearest integer, and then these two integers are multiplied together, what is the result?
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Guest
Jun 22, 2022
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30
2
help geometry
In triangle ABC, CA = 4sqrt2, CB = 4sqrt3, and angle A = 45 degrees. What is B in degrees?
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Guest
Jun 22, 2022
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31
1
Algebra
The line $x = k$ intersects the graph of the parabola $x = -2y^2 - 3y + 5$ at exactly one point. What is $k$?
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Guest
Jun 22, 2022
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32
1
system
If the system of equations
3x + y = a
2x + 5y = 2a
has a solution (x,y) when x = -2, compute a
read more ..
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Guest
Jun 22, 2022
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39
1
+83
Algebra - Floor Functions
Let for .
(a) Find all such that
(b) Find all such that
(c) Find all such that
(d) Find the number of possible values of for
I've solved
read more ..
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RainbowSquirrel53
Jun 22, 2022
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34
1
Algebra
The integers G and H are chosen such that
\[\frac{G}{x+5}+\frac{H}{x^2-4x}=\frac{x^2-3x+5}{x^3+x^2-20x}\]
for all real values of $x$ except -5, 0, and 4. Find $H/G$.
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Guest
Jun 22, 2022
Jun 21, 2022
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32
1
Domain
What is the domain of the function
f(x) = (2x - 3)(2x + 5)/((x - 9)(x + 9))
Express your answer as an interval or as a union of intervals.
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Guest
Jun 21, 2022
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23
0
help algebra
The polynomials x^3-ax^2-2x-1 and x^3-3x^2+2 have a common root. Find all possible values of a.
Guest
Jun 21, 2022
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42
1
math
In triangle ABC, medians AD and CE intersect at P , PE=1.5, PD=2 and .DE= 2.5 What is the area of AEDC?
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Guest
Jun 21, 2022
0
29
1
Number Theory
Suppose t is a positive integer such that lcm[12,t]^3=(6t)^3 . What is the smallest possible value for t?
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Guest
Jun 21, 2022
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30
1
Analytic geometry
In the coordinate plane, A = (-4,4), B = (0,7), and C = (2,-2). What is the area of triangle ABC?
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Guest
Jun 21, 2022
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31
1
geometry
Find the circumradius of triangle
image:https://latex.artofproblemsolving.com/2/4/6/2460e9b9a4c7d01c0f0b4cf61c0b188f7a2fc9c8.png
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Guest
Jun 21, 2022
0
33
1
help Function
Let
f(x) = 3x^2 + 2 if x <= 3
f(x) = ax^2 + 2 if x > 3
Find a if the graph of y = f(x) is continuous (which means the graph can be drawn without lifting your pencil from the paper).
read more ..
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Guest
Jun 21, 2022
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