All Questions ⁺⁰237690 Questions

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Geometry

Plz help with geometry problem

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 Feb 24, 2023

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191

4

+70

question posted but not answered

and are three points on a plane such that and Draw three circles whose diameters are and respectively. The area of the region included in all three circles (the grey region below) is in read more ..

ItsFree Feb 24, 2023

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184

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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 Feb 24, 2023

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162

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∫(3x4-4)/ (2x3) dx

∫(3x4-4)/ (2x3) dx

Guest Feb 24, 2023

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161

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Polynomials

Find a polynomial f(x) of degree 5 such that both of these properties hold:
* f(x) is divisible by x^3
* f(x) + 1 is divisible by (x + 1)(x + 2)(x + 3)
read more ..

Guest Feb 24, 2023

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155

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Inequality

Let a, b, and c be nonnegative real numbers. Prove that for all x >= 0,
(x + abc)^3 >= abc(x + a)(x + b)(x + c) >= (x + a + b + c)^3.

Guest Feb 24, 2023

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179

2

Help pls

9^(x-1) over 3^(y+2) = 81 express y in terms of x

Guest Feb 24, 2023

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161

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Probability

Right triangle XYZ has legs of length XY = 12 and YZ = 6. Point D is chosen at random within the triangle XYZ. What is the probability that the area of triangle XYD is at most 20?

Guest Feb 24, 2023

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183

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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 24, 2023

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184

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Counting

Joanna has six beads that she wants to assemble into a bracelet. Three of the beads have the same color (like red), and the other three have the same color (ike blue). How many different ways can Joanna assemble her bracelet? (Two bracelets are considered read more ..

Guest Feb 24, 2023

Feb 23, 2023

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252

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For which intervals is the function positive?

Responses
(−6, −2)
begin ordered pair negative 6 comma negative 2 end ordered pair read more ..

Guest Feb 23, 2023

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147

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Counting

Plz help I don't know.

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 read more ..

Guest Feb 23, 2023

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188

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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 23, 2023

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155

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Counting

Need help plz

At my office, 16 people own cats, people own dogs, and people own both cats and dogs. How many people own a cat or a dog?
read more ..

Guest Feb 23, 2023

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148

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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 Feb 23, 2023

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172

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Para medir a altura do edifício utilizou-se um teodolito.

Para medir a altura do edifício utilizou-se um teodolito.

Registaram-se as medidas seguintes, conforme o esquema da figura.
Distância do edifício ao teodolito: 212 dm read more ..

Guest Feb 23, 2023

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149

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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 23, 2023

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152

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Algebra

Let a and b be real numbers such that a - b = 1 and a^3 - b^3 = 1.
(a) Find all possible values of ab
(b) Find all possible values of a+b
(c) Find all possible values of a and b

Guest Feb 23, 2023

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151

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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 Feb 23, 2023

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192

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why is -ln(2)+ln(½)=-2ln(2)?

why is -ln(2)+ln(½)=-2ln(2)?

Guest Feb 23, 2023

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162

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Geometry

Plz help with geometry problem

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 Feb 23, 2023

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158

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Probability

Can anyone help with this?

Let PQR be an equilateral triangle, centered at O. A point X is chosen at random inside the triangle. Find the probability that X is closer to O than to any of the sides. (In read more ..

Guest Feb 23, 2023

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