All Questions ⁺⁰237643 Questions

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156

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Sequence

Help how to do this

Cai writes down the list of positive integers, excluding squares and cubes and all perfect powers. His sequence starts
2, 3, 5, 6, 7, 10, 11, ...
What is the 100th term in Cai's list?

Guest Jan 25, 2023

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168

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Geometry

Plz help I need help quick

In the diagram below, PQRS is a parallelogram with a perimeter of 26 and an area of 28. What is the perimeter of rectangle OSTQ? Include an explanation of how you solved the problem. read more ..

Guest Jan 25, 2023

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165

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Circles

I need help for this

The two circles below are externally tangent. A common external tangent intersects line PQ at R. Find QR.

Guest Jan 25, 2023

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151

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Geometry

Help with geometry plz

Let AB be a diameter of a circle, and let C be a point on the circle such that AC=8 and BC=4 The angle bisector of ACB intersects the circle at point M Find CM.

Guest Jan 25, 2023

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155

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Function

I don't get this

Let F(x) be the real-valued function defined for all real x except for x = 1 and x = 2 and satisfying the functional equation
F(x) + F((2x - 3)/x) = x.
Find the function F(x) satisfying these read more ..

Guest Jan 25, 2023

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162

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Binomials

I need help with binomials

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

Guest Jan 25, 2023

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158

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Probability

I can't get the 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 read more ..

Guest Jan 25, 2023

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166

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Counting

help how I do this

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? read more ..

Guest Jan 25, 2023

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160

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Counting

Plz help I need

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

Guest Jan 25, 2023

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167

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Coloring

In a regular decagon, the sides are to be colored with five different colors, so that sides are diametrically opposite have the same color. (Not all five colors need to be used.) One possible coloring is shown below.

In read more ..

Guest Jan 25, 2023

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150

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Binomials

Can anyone help with this math

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

Guest Jan 25, 2023

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159

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Counting

At a meeting, five scientists, two mathematicians, five journalists, two biologists, and three politicians are to be seated around a circular table. How many different arrangements are possible if the scientists must all sit together (in read more ..

Guest Jan 25, 2023

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186

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Urgent help is needed; thanks!

The equation describes the height (in feet) of a projectile launched from the surface of Mars at 51 feet per second. In how many seconds will the projectile first reach 108 feet in height?

Guest Jan 25, 2023

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207

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Counting

Plz help with this

Four adults and four 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 are considered the same read more ..

Guest Jan 25, 2023

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196

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System

Plz help with system question

Find the ordered quintuplet (a,b,c,d,e) that satisfies the system of equations
a + 2b + 3c + 4d + 5e = 41 read more ..

Guest Jan 25, 2023

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151

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Distributions

I don't know what to do here

In how many ways can you distribute 10 indistinguishable balls among 8 distinguishable boxes, if at least one of the boxes must be empty?

Guest Jan 25, 2023

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151

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Coefficient

Help how do I find this

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

Guest Jan 25, 2023

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152

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Factor

Help hard math

We are looking to factor 23x^2 + kx - 5 + x^2 - 3. Some values of k allow us to factor it as a product of linear binomials with integer coefficients. what are all such values of k?

Guest Jan 25, 2023

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162

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trig

Plz help me with this

Find the 3 smallest positive x-intercepts of the graph of
y = cos 12x + cos 16x + cos 20x
and list them in increasing order. read more ..

Guest Jan 25, 2023

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152

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Geometry

I have no idea how

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, read more ..

Guest Jan 25, 2023

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159

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slove

Guest Jan 25, 2023

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217

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Counting

I don't know how

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 read more ..

Guest Jan 25, 2023

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