All Questions ⁺⁰237642 Questions

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Order of operations 3:Exponets

I need help it says use a number tile and an exponent tile to create an expression that is equal to 64,,my number tile is 2-12 and my exponent tile is 2-5,,what do I need to do??.

Guest Jan 2, 2023

Jan 1, 2023

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188

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Triangle

Let ABC be a triangle, and let its angle bisectors be AD, BE, and CF, which intersect at I. If DI = 3, BD = 4, and BI = 8, then find the area of triangle ABC.

Guest Jan 1, 2023

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165

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Geometry

Triangle ABC is a right triangle with angle BAC= 90 degrees and angle B > angle . Suppose AP is an altitude of the triangle, AQ is an angle bisector of the triangle, and AR is a median of the triangle, and angle PAQ = 18 degrees. If P read more ..

Guest Jan 1, 2023

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163

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Algebra

Find the constant term in the expansion of (2z - 1/(z*sqrt(z)) + 1)^4.

Guest Jan 1, 2023

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165

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Binomials

Find the positive integer n such that the expansion of (4x - 7y)^n contains a term of the form cx^2*y.

Guest Jan 1, 2023

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169

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Binomial Theorem

For some real number a and some positive integer n, the first few terms in the expansion of (1 + ax)^n are
1 + 10x + 150 x^2 + cx^3 + ...

Find c. read more ..

Guest Jan 1, 2023

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162

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Expand

Expand (sqrt(t) + 3t + 1)^3 + (sqrt(t) - 3t + 1)^3.

Guest Jan 1, 2023

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214

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Coefficient

Find the coefficient of y^4 in the expansion of (2y - 5 + y^2)^6.

Guest Jan 1, 2023

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214

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Graphing question

What is the smallest distance between the origin and a point on the graph of y = 1/2*(x^2 - 8)?

Guest Jan 1, 2023

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170

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help counting

Find the number of positive integers that satisfy the following conditions:
* Each digit is a 1 or a 2 or a 3
* The sum of the digits is 10

Guest Jan 1, 2023

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228

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help algebra

Let a and b be real numbers such that a^3 + 3ab^2 = 679 and a^3 - 3ab^2 = 673. Find a - b.

Guest Jan 1, 2023

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152

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binomials

(a) Simplify (n/k)/(n/(k - 1))

(b) For some positive integer n, the expansion of (1 + x)^n has three consecutive coefficients a, b, c that satisfy 1:8:28. What must n be?

Guest Jan 1, 2023

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208

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In regular pentagon $FGHIJ$, extending the sides of the pentagon, as shown, forms a star. What is the measure of angle $A$ in the figure?

In regular pentagon , extending the sides of the pentagon, as shown, forms a star. What is the measure of angle in the figure?

Guest Jan 1, 2023

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158

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binomials

For nonnnegative integers a and b, where a >= 2 and b >= 2, simplify
binom{a + b}{2} + binom{2a + b}{2} + binom{a + 2b}{2} - binom{a - b}{2}

Guest Jan 1, 2023

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165

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Congruences

Fill in the blanks to make the equation true (Each blank should contain a positive integer.)

\binom{n}{k} = \binom{n - 2}{k} + \binom{n - 2}{k - 1} + \binom{n - 1}{k} + \binom{n - 1}{k - 1} + \binom{n}{k - 1} + \binom{n}{k + read more ..

Guest Jan 1, 2023

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210

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Distribution Question!

How many ways are there to distribute 12 identical candies among 5 children with each child having at most 5 candies?

Guest Jan 1, 2023

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224

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Counting problem

In a row of five squares, each square is to be colored either red, yellow, or blue, so that no two consecutive squares have the same color, and at lest three of the squares are red. How many ways are there to color the five squares?

Guest Jan 1, 2023

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225

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help algebra

Suppose r and s are the roots of the equation 3x^2 + 9x + 15 = 2x^2 + 8x - 17. Find (r+1)(s+1)

Guest Jan 1, 2023

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232

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Distributions

Miyu is giving out 9 identical chocolates to her 7 friends, including Dhruv. All possible distributions are equally likely. What is the probability that Dhruv gets exactly 2 chocolates?

Guest Jan 1, 2023

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234

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Geometry

Let ABC be a triangle, and let its angle bisectors be AD, BE, and CF, which intersect at I. If DI = 3, BD = 4, and BI = 8, then find the area of triangle ABC.

Guest Jan 1, 2023

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144

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math

There is a group of five children, where two of the children are twins. How many ways can I distribute 10 identical pieces of candy to the children, if the twins must get an equal amount of candy?

Guest Jan 1, 2023

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168

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counting

(a) In how many ways can you distribute 4 distinguishable balls among 3 indistinguishable boxes?

(b) In how many ways can you distribute 4 indistinguishable balls among 5 distinguishable boxes?

Guest Jan 1, 2023

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219

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Counting

(a) Find the number of ways that Magnus can give out 20 identical stickers to 5 of his friends. (Not everyone has to get a sticker.)

(b) Find the number of ways that Magnus can give out 20 identical stickers to 5 of read more ..

Guest Jan 1, 2023

Dec 31, 2022

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170

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need help with probability

In the SuperLottery, three balls are drawn (at random, without replacement) from white balls numbered from 1 to 12, and one SuperBall is drawn (at random) from red balls numbered from 13 to 20. When you buy a ticket, you choose three numbers from 1 to 12, read more ..

Guest Dec 31, 2022

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