All Questions ⁺⁰237783 Questions

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Number Theory

Suppose t is a positive integer such that lcm[12,t]^3=(6t)^3 . What is the smallest possible value for t?

Guest Jun 21, 2022

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297

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Analytic geometry

In the coordinate plane, A = (-4,4), B = (0,7), and C = (2,-2). What is the area of triangle ABC?

Guest Jun 21, 2022

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252

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geometry

Find the circumradius of triangle
image:https://latex.artofproblemsolving.com/2/4/6/2460e9b9a4c7d01c0f0b4cf61c0b188f7a2fc9c8.png

Guest Jun 21, 2022

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307

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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 ..

Guest Jun 21, 2022

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299

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Binomials

For what real values of s is 9x^2 + sx + 4 the square of a binomial?

Guest Jun 21, 2022

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278

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quadratic

Find constants a, h, k such that 3x^2 + 4x + 1 = a(x - h)^2 + k.

Guest Jun 21, 2022

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289

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+103

Math. .

The pie chart below shows the survey results of the sports 200 pupils like. The number of pupils who like badminton only and basketball only is the same.

(a) How many pupils like basketball only?
(b) read more ..

Robtlukas Jun 21, 2022

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help math

The sum of all the digits used to write the whole numbers 10 through 13 is 1+0+1+1+1+2+1+3 = 10. What is the sum of all the digits used to write the whole numbers 1 through 400, inclusive?

Guest Jun 21, 2022

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math

There were 900 sweets in boxes a b c. 18 sweets were transfered from a to b. 5 sweets were transferred from b to c. 1/3 of the sweets in c were then transferred to a. There were an equal number of sweets in all 3 boxes. How many sweets were in each read more ..

Guest Jun 21, 2022

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+176

Help me with this ASAP pls!!!!

Andy, Ben and Calvin had a total of 840 sweets. The ratio of the number of sweets Ben had to the number of sweets Calvin had was 1:4. After Andy and Ben each gave away 1/2 of their sweets, the three children had 620 sweets left. How many sweets did Ben read more ..

Whayousayy Jun 21, 2022

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296

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quadratic

For what constant k is -1 the minimum value of the quadratic 4x^2-12x+k+x^2+2x over all real values of x? x can not be unreal

Guest Jun 21, 2022

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293

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Coordinates

Find the radius of the circle given by x^2-10x+y^2+8y=18

Guest Jun 21, 2022

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313

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help ratio

Our company parking lot has cars, trucks, and motorcycles. The ratio of cars, trucks, and motorcycles is If there are a total of 42 cars and trucks, then how many motorcycles are there?

Guest Jun 21, 2022

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311

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Algebra

Currently, I am 9 times as old as my son. Next year, I will be 6 times as old as my son. How old is my son now?

Guest Jun 21, 2022

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295

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quadratic

If t is a real number, what is the maximum possible value of the expression -t^2 + 8t -4 - 3t^2 - 11?

Guest Jun 21, 2022

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317

2

Can I get some help

An eight-digit integer is formed by repeating a positive four-digit integer. For example, 25,632,563 or 60,786,078 are integers of this form. What is the greatest common divisor of all eight-digit integers of this form?

Guest Jun 21, 2022

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285

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geometry

Angle bisectors AX and BY of triangle meet ABC at point I. Find angle C in degrees, if angle AIB = 103.

Guest Jun 21, 2022

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302

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Inequality

Let a be the smallest integer satisfying the inequality x^2 - 15 < 2x + 7x - 40, and let b be the largest integer satisfying the same inequality. What is b-a?

Guest Jun 21, 2022

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290

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quadratic

What real value of t produces the smallest value of the quadratic t^2 -9t - 36 + t^2 - t + 24?

Guest Jun 21, 2022

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212

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polynomials

Let a, b, c be the roots of the equation 2x^3+4x^2-5x-3=0. Build a cubic equation which has roots a^2, b^2, c^2.

Guest Jun 21, 2022

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249

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help algebra

If A, b, and c are the roots of the equation 2x^3-6x^2-15x-3=0, then find a^2 + b^2 + c^2.

Guest Jun 21, 2022

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Functions

let f(x)=3x+2 and g(x)=ax+b, for some constants a and b. If ab=30, and f(g(x))=g(f(x)), for x=0,1,2...9, find the sum of all possible values of a. Thanks!

Guest Jun 21, 2022

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300

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coordinates

The square with vertices (-a, -a), (a, -a), (-a, a), (a, a) is cut by the line y = x/3 into congruent quadrilaterals. The perimeter of one of these congruent quadrilaterals divided by a equals what? Express your answer in simplified radical form. read more ..

Guest Jun 21, 2022

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295

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quadratic

If the two roots of the quadratic 4x^2 + 7x + k are (-7 +/- i*sqrt(79))/8, what is k?

Guest Jun 21, 2022

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