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All Questions
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231349 Questions
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135
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Right triangles
Find all values of t such that t - 1, t + 1, and 6 could be the lengths of the sides of a right triangle.
Guest
Jul 15, 2022
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133
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quadratic
What is the minimum value of y if y=3x^2+8x+9+x^2+24?
Guest
Jul 15, 2022
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245
1
Help! Proportions Problem
The line $l_1$ passes through the points $(3,-3)$ and $(-5,2)$. The line is the graph of the equation $Ax + By = C$, where $A$, $B$, and $C$ are integers with greatest common divisor 1, and $A$ is positive. Find $A + B+ C$.
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Guest
Jul 15, 2022
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222
3
series
What is the remainder when the sum 1 + 7 + 13 + 19 + ... + 253 + 259 + 265 + 271 is divided by 6?
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Jul 15, 2022
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179
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sequences
The first four terms in an arithmetic sequence are x + y, x - y, x + 3y, and 1, in that order. What is the fifth term?
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Guest
Jul 15, 2022
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181
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sequences
The nth term of a sequence is a_n = (n + 1)(3n + 2). What is the value of a_1 + a_2 + ... + a_{100}?
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Guest
Jul 15, 2022
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143
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Functions
(a) Let f : (-inf,0) U (0,inf) -> R be defined by f(x) = x + 1/x. Show that f has no inverse function.
(b) Let g : (0,inf) -> R be defined by g(x) = 1/x. Show that g has an inverse function.
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Guest
Jul 15, 2022
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226
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number theory
Among all 6-digit multiples of 22 of the form 5d5,77e where d and e are digits, what is the maximum value of d?
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Guest
Jul 15, 2022
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178
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pls help!!!!
There are three real numbers $$f(x) = \frac{1}{1+\frac{1}{1+\frac 1x}}.$$ that are not in the domain of What is the sum of those three numbers?
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Guest
Jul 15, 2022
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137
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Percent
If 2/3 of 75% of 0.8x is equal to 100, what is 4/3 of 60% of 0.75x? Express your answer as a decimal to the nearest tenth.
Guest
Jul 15, 2022
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190
2
A few questions
What is the domain of the function $$j(x) = \frac{1}{x+8} + \frac{1}{x^2+8} + \frac{1}{x^3+8}~?$$ Express your answer as a union of intervals.
Let $a\star b = ab+2b-a$ If $5\star x = 37$, find the value
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Guest
Jul 15, 2022
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183
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word problem
Sam has exactly 18.90 in dimes and quarters, with an equal number of dimes and quarters. He spends five quarters and twice as many dimes at the convenience store, and he spends 55 cents at the donut shop. If he pays the exact amount for everything,
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Guest
Jul 15, 2022
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216
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area problem
This figure shows the floorplan of a room that incluldes a door and a window that have a combined area of 50 ft^2. Each side of the room has a wall that is 10 feet tall, and adjacent walls meet at right angles. If a can of paint covers an area
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Guest
Jul 15, 2022
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205
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geometry
What is the perimeter, in cm, of quadrilateral ABCD if $\overline{AB} \perp \overline{BC}$, $\overline{DC} \perp \overline{BC}$, AB=9 cm, DC=5 cm, and BC=12 cm?
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Guest
Jul 15, 2022
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181
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Counting
How many unique sums can be formed by adding any three different numbers from the set {4,6,8,9,12,15,18}?
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Guest
Jul 15, 2022
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226
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Functions
Let $
f(n) =
\begin{cases}
n^2+1 & \text{if }n\text{ is odd} \\
\dfrac{n}{2} & \text{if }n\text{ is even} <#> \end{cases}. <#> $ <#> For how many integers $n$ from 1 to 100, inclusive, does $f ( f (\dotsb f (n) \dotsb
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Jul 15, 2022
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148
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coordinates
The vertices of a triangle are the points of intersection of the line y = -x-1, the line x=2, and y = 5x + 13. Find an equation of the circle passing through all three vertices.
Guest
Jul 15, 2022
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248
2
+248
Find the vertex of the graph of the equation $x - y^2 + 8y = 13$.
Find the vertex of the graph of the equation $x - y^2 + 8y = 13$.
CPhill
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Blizzardshine
Jul 15, 2022
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206
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geometry question
A rectangle is inscribed in a circle of radius 5 cm. If the area of the rectangle is equal to 1/3 the area of the circle, what is the perimeter of the rectangle? Express your answer as a decimal to the nearest tenth.
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Guest
Jul 15, 2022
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209
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Stats
The bar graph shown displays the results of a test on which each student earned a score of 70, 80, 90, or 100, and the number above each bar indicates how many students earned that test score. What is the absolute difference between the median
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Guest
Jul 15, 2022
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148
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Probability
Annie is on the 99th floor of a building with 100 stories. There is one elevator in the building, which always travels all the way to the 100th floor before going back down and all the way to the 1st floor before going back up. It stops at every floor
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Guest
Jul 15, 2022
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144
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hard counting
A function f randomly assigns values to f(1), f(2), f(3),$ and f(4) from the set {1,2,3,4} with replacement. What is the probability that f(x) = f(f(f(x))) for each x in the set {1,2,3,4}? Express your answer as a common fraction.
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Guest
Jul 15, 2022
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170
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helppppp
f(0)=0, f(1)=2, f(2)=5 and f(x)=ax^2+bx+c, what is the value of f(3)?
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Guest
Jul 15, 2022
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205
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math problem
A piece of cord is laid out along the path shown on the left. At each of the six points where the path intersects itself, by random choice the cord can either pass over or under where it has already been laid. One possible combination of choices is shown
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Guest
Jul 15, 2022
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139
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3d geometry
A dodecahedron is a regular solid with 12 faces, where each face is a regular pentagon. In the dodecahedron shown, if the measure of angle ABC is x, the measure of angle ABD is y, and the measure of angle ABE is z, what is the value of x + y - z?
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Guest
Jul 15, 2022
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