All Questions ⁺⁰237784 Questions

0

141

1

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 read more ..

Guest Mar 27, 2023

0

147

1

geometry

Let ABC be a right triangle, and let H be the point on side AB so that CH is perpendicular to AB. Prove that (x + h)^2*(y + h)^2 = (a + b)^4.

Guest Mar 27, 2023

0

152

1

precalc

Plz help with parametric equations
The position of a particle is given by the parametric equations
x = 1 + sin pi*t - cos pi*t
y = 3*sin pi*t + 2*cos pi*t read more ..

Guest Mar 27, 2023

0

154

1

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 probl read more ..

Guest Mar 27, 2023

0

150

0

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 27, 2023

0

165

1

Three consecutive even integers add up to –36. Which integers are they?

Three consecutive even integers add up to –36. Which integers are they?

Guest Mar 27, 2023

0

141

0

binomials

For some real number a and some positive integer n, the first few terms in the expansion of (1 + ax)^n are 1 - 20x + 180x^2 + cx^3+...
Find c.

Guest Mar 27, 2023

0

144

0

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 QST, tan QPT, tan SQT form an arithmetic progression, and the values of cot SQT, cot RQT, cot SQR form a geometic progression. read more ..

Guest Mar 27, 2023

0

170

1

Rates and ratios

A ratio of white to black cars is 2:7 A ratio of white to red cars is 3:11. There is a total of 343 white red and black cars. How many black cars are there?

Guest Mar 27, 2023

0

144

1

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 Mar 27, 2023

0

162

1

counting

In how many ways can three pairs of siblings from different families be seated in two rows of three chairs, if siblings may sit next to each other in the same row, but no child may sit directly in front of their sibling?

Guest Mar 27, 2023

0

162

1

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 Mar 27, 2023

+1

148

3

+32

Shopping

You spend $2.75 in a store and receive $7.25 change from $10.00. Notice that the arrangement of the digits in the amount you spent is a rearrangement of the digits in your change. Find 4 other pairs of amounts spent and change from $10.00 that share this read more ..

ALittleFroggy Mar 27, 2023

+1

163

3

Probability

I need the answer to this
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 Mar 27, 2023

+1

146

1

counting

Six children are each offered a single scoop of any of 3 flavors of ice cream from the Combinations Creamery. How many ways can each child choose a flavor for their scoop of ice cream so that some flavor of ice cream is selected by exactly two chi read more ..

Guest Mar 27, 2023

Mar 26, 2023

+1

151

4

Hard question anyone up for the challenge

Guest Mar 26, 2023

+1

155

1

Quadratic

A competitive diver makes a dive from a platform 20 feet above the water. She reaches the top of her trajectory 2 feet above her starting point, and 2 feet out, horizontally from her starting point.
a. What’s the equation that describes read more ..

Guest Mar 26, 2023

+1

141

0

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 Mar 26, 2023

+1

135

0

Polynomial

Find a polynomial 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).
Write your answer in expanded form (that is, do not factor f(x)). read more ..

Guest Mar 26, 2023

+1

154

2

HELP PLS ASAP....thx

Levans writes a positive fraction in which the numerator and denominator are integers, and the numerator is 1 greater than the denominator. He then writes several more fractions. To make each new fraction, he increases both the numerator and the denominator read more ..

Guest Mar 26, 2023

+1

65

5

HELP pls..thx

What is the smallest integer that can possibly be the sum of an infinite geometric series whose first term is 13?

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Guest Mar 26, 2023

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