tvesa

7 Questions
0 Answers

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283

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+28

If a, b and c are integers, with a^2,b^2 and c^2 each less than or equal to 100 and a+b+c= 2, what is the greatest possible value of the pro

If a, b and c are integers, with a^2,b^2 and c^2 each less than or equal to 100 and a+b+c= 2, what is the greatest possible value of the product abc?

tvesa Jul 22, 2021

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400

1

+28

If a, b, c and d are positive integers such that ab = 192, bc =360 and cd = 750 what is the sum of all possible values of a + b + c + d?

If a, b, c and d are positive integers such that ab = 192, bc =360 and cd = 750 what is the sum of all possible values of a + b + c + d?

tvesa Jul 22, 2021

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294

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+28

Permutations and Combinations. I would like some help with this question.

Merlin is in charge of seating groups of knights around a circular table. Knights enter alone or in groups, and Merlin places them in a random set of adjacent seats at the table. If the knights arrive in groups of 2, 7, 3, 6, 1, 5, 2 and 1 (in that order), read more ..

tvesa Jul 22, 2021

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287

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+28

Please help me with this question.

Jody and Shelli each receive a box of buttons on Saturday and on Sunday. Each button is either red or white, and the number of buttons in each of the four boxes is from 1 to 100 inclusive. On both days, the percentage of red buttons in Jody's box is greater read more ..

tvesa Jul 22, 2021

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499

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+28

Show that sin3θ = 3sinθ - 4sin^3θ , and cos3θ = 4cos^3θ - 3cosθ.

Show that sin3θ = 3sinθ - 4sin^3θ , and cos3θ = 4cos^3θ - 3cosθ.

tvesa Jul 22, 2021

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313

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+28

Solve, in complex numbers, the quadratic equation z^2 − 8(1 − i)z + 63 − 16i = 0.

olve, in complex numbers, the quadratic equation z2 − 8(1 − i)z + 63 − 16i = 0.

tvesa Jul 22, 2021

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429

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+28

Please help with this question about complex numbers. Find the absolute value of k.

If (x+iy)^3 = −74 + ki, find the absolute value of k, given that x=1 and i^2 =−1.

tvesa Jul 22, 2021