All Questions ⁺⁰223045 Questions

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Counting

Plz help
A standard six-sided die is rolled 7 times. You are told that among the rolls, there was one 1, two 2's, and three 4's. How many possible sequences of rolls could there have been? (For example, 5, 1, 2, 2, read more ..

Guest Mar 17, 2023

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Pls Help, I tried but idk if its right or not

We are looking to factor 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 Mar 17, 2023

Mar 16, 2023

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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 Mar 16, 2023

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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 16, 2023

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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 Mar 16, 2023

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how to solve using vietas formulas?

Two of the roots of the equation ax^3+bx^2+cx+d=0 are -5 and 6. Find an expression for the third root in terms of only a and c (that is, your expression should not involve b or d).

Guest Mar 16, 2023

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Help pelaseeee

What is the value of b, if 20 – b – 14 + 3b = 10

Guest Mar 16, 2023

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+4

Need help with algebra question

How many linear functions (functions of the form f(x)=ax+b ) are equal to their own inverse?

youngwolf Mar 16, 2023

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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)
(A) The following function is exponential: y = 2^x
(B) read more ..

Guest Mar 16, 2023

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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 16, 2023

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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 16, 2023

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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 16, 2023

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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 Mar 16, 2023

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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 16, 2023

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geometry

In triangle PQR, let M be the midpoint of QR, let N be the midpoint of PR, and let O be the intersection of QN and RM, as shown. If QN perp PR, QN = 12, and PR = 14, then find the area of triangle PQR.

Guest Mar 16, 2023

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Probability

Need help with probability
My sock drawer contains two red socks, two white socks, and two blue socks. For three days in a row, I pull out two socks out of my sock drawer at random. What is the probability that I get matching read more ..

Guest Mar 16, 2023

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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 16, 2023

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2

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Counting

Plz help
A standard six-sided die is rolled 7 times. You are told that among the rolls, there was one 1, two 2's, and three 4's. How many possible sequences of rolls could there have been? (For example, 5, 1, 2, 2, read more ..

Guest Mar 16, 2023

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Father and Son

The sum of the present ages of the father and son is 80 years. When the father’s age was equal to the present age of the son, the sum of their ages was 40 years. What are their present ages?

Guest Mar 16, 2023

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Stats

A list of ten distinct, positive integers has a median of 5.5. What is the smallest possible average of the ten positive integers? Explain your ansswer in complete sentences.

Guest Mar 16, 2023

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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 16, 2023

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+117

Looking for help

Can anyone give me some guidance on this?
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 read more ..

sandwich Mar 16, 2023

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Algebra

Help I don't know the formula
Chuck deposits $2000 into a bank account that compounds annually at an interest rate of . Assuming there are no other transactions, what will the balance be after years, in dollars?
Chuck read more ..

Guest Mar 16, 2023

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Probability

What do I do
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 16, 2023

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