All Questions ⁺⁰237827 Questions

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114

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Counting

I don't get this

Sam wants to color the three sides of an equilateral triangle. He has two different colors to choose from. In how many different ways can Sam color the sides of the triangle? (Two colorings are considered read more ..

Guest Feb 18, 2023

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167

0

How do I answer this math question?

In the triangle XYZ, XZ=YZ, XZ is extended through Z to W. Prove that ⊾YZW is twice ⊾YXZ

Guest Feb 18, 2023

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180

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Algebra

Help can anyone explain this to me

A magician makes potions by combining maple syrup from a magical maple tree with ordinary water. The magician starts with a large supply of two potions: a red potion, which is 50% magical syrup by read more ..

Guest Feb 18, 2023

0

163

0

Counting

How this work

We define a bow-tie quadrilateral as a quadrilateral where two sides cross each other. An example of a bow-tie quadrilatera is shown below. distinct points are chosen on a circle. We draw all read more ..

Guest Feb 18, 2023

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165

0

algebra

Need to work with variables

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

Guest Feb 18, 2023

0

189

5

hi, how do i go about doing this? it is due soon.

Carissa the chessplayer is a very, very slow walker. In fact, she walks at 100 meters per hour when walking uphill, 120 meters per hour when walking across flat ground, and 150 meters per hour when walking downhill. One day, Carissa walks read more ..

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Guest Feb 18, 2023

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193

1

help me pls

how many times does 1000 go into 202,000

Guest Feb 18, 2023

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165

0

Complex numbers

help need help with this

Describe all solutions to zw - 3w - 2iw + 4z = 7iw + 5w + 11iz - 13 + 15i
where z and w are complex numbers.

Guest Feb 18, 2023

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189

1

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 Feb 18, 2023

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163

0

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 Feb 18, 2023

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191

1

Probability

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? read more ..

Guest Feb 18, 2023

0

181

0

Counting

I need help here plz

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 are considered read more ..

Guest Feb 18, 2023

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162

0

Inequality

Prove that if a, b, and c are positive real numbers, then
sqrt(a^2 + ab + b^2) + sqrt(a^2 + ac + c^2) + sqrt(b^2 + bc + c^2) >= sqrt(3) (sqrt(ab) + sqrt(ac) + sqrt(bc))
When does equality occur?

Guest Feb 18, 2023

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161

0

Algebra

Need help with these

Select all the correct statements. (For this problem, we assume that an exponential function is of the form ka^x where a > 0)
read more ..

Guest Feb 18, 2023

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152

0

Help with 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 Feb 18, 2023

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156

0

coordinates

Points A, B, and C are given in the coordinate plane. There exists a point Q and a constant k such that for any point P,
PA^2 + PB^2 + PC^2 = 3PQ^2 + k
If A = , B = , and C = , then find the constant k.

Guest Feb 18, 2023

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115

1

PLs Help

Altitudes $\overline{AD}$ and $\overline{BE}$ of acute triangle $ABC$ intersect at point $H$. If $\angle AHB = 128^\circ$ and $\angle BAH = 28^\circ$, then what is $\angle HCA$ in degrees?

Guest Feb 18, 2023

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186

1

Help please

In triangle PQR, M is the midpoint of PQ. Let X be the point on QR such that PX bisects angle QPR, and let the perpendicular bisector of PQ intersect AX at Y. If PQ = 36, PR = 22, QR = 26, and MY = 8, then find the area read more ..

Guest Feb 18, 2023

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182

0

The sum or difference must be rounded to the same place value as the last significant digit of the least precise measurement.

The sum or difference must be rounded to the same place value as the last significant digit of the least precise measurement.

Is this true or false

Guest Feb 18, 2023

+1

132

4

+187

Confusing modular arithmetic

Two sequences, and are defined as the following:
, where n ≥ 2
, where n ≥ 2
read more ..

idontknowhowtodivide Feb 18, 2023

0

174

0

Counting

Help plz with this

There are 97 students in South High School. South High School offers only Chinese and Spanish. There are more students in Chinese than in Spanish, and every student takes at least one language. If students read more ..

Guest Feb 18, 2023

0

146

0

Counting

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 Feb 18, 2023

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156

0

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 Feb 18, 2023

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193

1

Counting

Plz I need help

Let n be a positive integer. Let k be a positive integer.
read more ..

Guest Feb 18, 2023

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195

1

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 Feb 18, 2023

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