All Questions ⁺⁰237784 Questions

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176

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deez

how do you do x3+y3+z3=k, with k being all the numbers from one to 100

Guest Mar 14, 2023

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134

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Graphing

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

Guest Mar 14, 2023

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172

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counting

Help how do I count this

Find the number of six-digit numbers, where the sum of the digits is divisible by 8. read more ..

Guest Mar 14, 2023

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145

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counting

You are given the 4 x 4 grid below.

(a) Find the number of ways of placing 8 counters in the squares (at most one counter per square), so that each row contains exactly two counters.
read more ..

Guest Mar 14, 2023

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145

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binomials

Need help with binomial

The function f(n) satisfies
binom(2n)n - binom(2n + 1)(2n) = f(n) *binom(2n + 1)(n + 1) read more ..

Guest Mar 14, 2023

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151

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Exponential functions

Need help with graphs

The graph of the exponential function f(x) is shown below. Find f(x).

Guest Mar 14, 2023

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182

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counting

Sam writes down the numbers 1, 2, 3, ..., 99

(a) How many digits did Sam write, in total?
(b) Sam chooses one of the digits written down, at random. What is the probability that Sam chooses a 0?
(c) What is the sum of all the read more ..

Guest Mar 14, 2023

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158

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Exponential functions

Help the class didn't cover this

Each graph below is the graph of an exponential function of the form ka^x (where a > 0). Match each graph with the correct option.

Guest Mar 14, 2023

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152

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Precalc

The position of a particle is given by the parametric equations
x = 3 + 2 sin 2t - cos t
y = 4 + cos 4c + sin 3t
as t ranges over all real numbers. read more ..

Guest Mar 14, 2023

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156

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Algebra

Need to solve for c

Find all values of c such that 3*(2c + 1) = 28*(3*c) - 9. If you find more than one value of c, then list your values in increasing order, separated by commas. read more ..

Guest Mar 14, 2023

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149

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Algebra

How do I do this

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

Guest Mar 14, 2023

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141

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Counting

Help how are you supposed to do this

Three adults and three children are to be seated at a circular table. In how many different ways can they be seated if each child must be next to at least one adult? (Two seatings read more ..

Guest Mar 14, 2023

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152

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Counting

In how many ways can the numbers 1 through 5 be entered once each into the five boxes below so that all the given inequalities are true?

Guest Mar 14, 2023

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160

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Counting

Help I need to count this

Catherine rolls a standard 6-sided die five times, and the product of her rolls is . How many different sequences of rolls could there have been? (The order of the rolls matters.)

Guest Mar 14, 2023

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172

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Geometry

In tetrahedron ABCO, angle AOB = angle AOC = angle BOC = 90^\circ. A cube is inscribed in the tetrahedron so that one of its vertices is at O, and the opposite vertex lies on face ABC. Let OA = 1, OB = 1, OC = 1. Show that the read more ..

Guest Mar 14, 2023

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149

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Probability

A box contains 24 tiles. Each tile has certain properties:
Each tile is made of wood or plastic.
Each tile is red, yellow, or blue.
Each tile is a triangle, square, pentagon, or circle.
There is exactly one tile for each combination read more ..

Guest Mar 14, 2023

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183

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Algebra

Let r be a root of x^3 - 2x + 5 = x^3 - x^2 + 9. Show that none of r, r^2, or r^3 is irrational.

Guest Mar 14, 2023

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165

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precalc

In triangle PQT, R is on side PT such that QR = QP. Also, QS is an altitude, and QT = 10. The values of tan RTQ, tan SQR, tan SQT form an arithmetic progression, and the values of cot SQT, cot RQT, cot SQR form a geometic progression. read more ..

Guest Mar 14, 2023

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176

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geometry

In triangle ABC, the angle bisector of angle BAC meets AC at D. If angle BAC = 60, angle ABC = 60, and AD = 24, then find the area of triangle ABC.

Guest Mar 14, 2023

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152

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geometry

Let B, A, and D be three consecutive vertices of a regular -gon. A regular heptagon is constructed on AB with a vertex C next to A Find angle BCD in degrees.

Guest Mar 14, 2023

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156

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geometry

In the diagram below, D is a point on segment CE such that segments AD and BE are parellel and point A is not on segment BC. Line segments AD and BC intersect at point P.

If angle CAD = 67 degrees, then what is angle read more ..

Guest Mar 14, 2023

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