All Questions ⁺⁰237697 Questions

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371

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Sequences

If the first term of AP is 4 and the sum of first five term is equal to one-fourth of the sum of the next five term, then find the 15th term?

Guest Dec 26, 2021

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262

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Algebra

Solve x^4 + (2 - x)^4 = 34.

Guest Dec 26, 2021

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253

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Orders of precendence

Compared to 'AnalogX Programmer's Calculator' and the `gcc` pre-processor (aka. compiler), why does this calculator give a different answer to "1 << 3 + 4 >> 2" ?

Guest Dec 26, 2021

Dec 25, 2021

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298

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Probability

We draw a card from a standard deck. What is the probability that it is a Jack, Queen, King, or a red Ace?

Guest Dec 25, 2021

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363

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Geometry

Let a triangle ABC with BC = 6 cm, and the area of 30 cm2. A square PQRS is inscribed so that points S and R is on BC, Q on AC, and P on AB respectively. Find the side length of the square PQRS. read more ..

Guest Dec 25, 2021

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290

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Algebra

Give an example of a quadratic function that has zeroes at x=2 and x=4, and that takes the value 6 when x=8.
Enter your answer in the expanded form "ax^2 + bx + c", where a,b,c are replaced by appropriate numbers.

Guest Dec 25, 2021

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319

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Algebra

The age of a tortoise is 52 years more than the combined age of two elephants. In 10 years, the tortoise will be twice as old as the two elephants combined. How old is the tortoise now?

Guest Dec 25, 2021

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243

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Piecewise function

Let
f(x) = x^2 - 4 if x >= -4
f(x) = 3x + 1 if x < -4
read more ..

Guest Dec 25, 2021

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304

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Math

Chocs-O-Lots candy bars are on sale 5 for $3. How much would it cost Jeneatte to buy 100 candy bars to pass out to the neighborhood children for Halloween?

Guest Dec 25, 2021

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375

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Function

Let
f(x) = 2x + 1 if x <= 3
f(x) = 8 - x if x > 3
read more ..

Guest Dec 25, 2021

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329

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Algebra

When the expression -2x^2 - 20x - 53 + 14x + 17 is written in the form a(x + d)^2 + e, where a, d, and e are constants, then what is the sum a + d + e?

Guest Dec 25, 2021

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314

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help

A sum of money was shared between Aaron and Jason in the ratio 2:3. Jason gave 1/4 of his share to Aaron. What is the new ratio of Aaron's share to Jason's share of the money?

Guest Dec 25, 2021

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290

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Geometry

A sheet of 8-inch by 10-inch paper is placed on top of a sheet of 9 1/2-inch by 11-inch paper, as shown. What is the area of the region of overlap in square inches?

read more ..

Guest Dec 25, 2021

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296

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Function

Find the set of values a for which the range of the function f(x) = (x^2 + a)/(x + 7) is the set of all real numbers.

Guest Dec 25, 2021

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324

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3d geometry i guess

Four balls of radius 1 are all tangent to each other. What is the radius of the smallest sphere that encloses them?

please show all steps

Guest Dec 25, 2021

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302

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Number Theory

The letters A, B, C, D, E, and F represent digits and ABC,DEF represents a positive six-digit integer. What is the number ABC,DEF if 4(ABC,DEF) = 9(DEF,ABC)?

Guest Dec 25, 2021

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324

3

Probability

When three standard dice are tossed, the numbers x, y, and z are obtained. Find the probability that xyz=18. If you have an answer please explain it, without an explanation the problem is useless to my education

Guest Dec 25, 2021

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290

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Rates

All members of our painting team paint at the same rate. If 20 members can paint a 6000 square foot wall in 20 minutes, then how long would it take the 20 members to paint a 5000 square foot wall, in minutes?

Guest Dec 25, 2021

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317

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log3(-5)

Guest Dec 25, 2021

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384

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Algebra

What is the length of the segment of the number line whose endpoints satisfy x^2 - 16x + 3 = 0?

Guest Dec 25, 2021

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300

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Polynomial

If f(x) is a monic quartic polynomial such that f(-1) = -1, f(2) = -4, f(3) = -9, and f(4) = -16, find f(1).

Guest Dec 25, 2021

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377

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Precalc

Find sin(2A) if sin(A) = 1/4 and 0 <= A <= pi/2.

Guest Dec 25, 2021

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326

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Probability question

Three fair dice are rolled. What is the probability that the sum of the rolls is a multiple of $4$?

Guest Dec 25, 2021

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296

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Geometry

Let XY be a tangent to a circle, and let XBA be a secant of the circle, as shown below. If AX = 16 and XY = 9, then what is AB?

read more ..

Guest Dec 25, 2021

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379

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help plz

Line m has the equation y = 3x + 5. Line n has the equation y = kx - 7. Lines m and n intersect at the point (-4, -7). What is the value of k?

Guest Dec 25, 2021

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