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Questions tagged 'Mathematics'

325 questions

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Anonymous

Feb 09, 2025

sin4x-cos2x=0 How do you solve?

How do you solve the equation sin(4x) - cos(2x) = 0? I would appreciate a step-by-step explanation of the solution process, including any relevant identities or methods that can be used to find the va...

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Myron McClure

Feb 09, 2025

32 is to 9 as 92 is to__________?

In the analogy "32 is to 9 as 92 is to __," I believe the correct answer is 27. Could someone please explain how to arrive at this conclusion? Thank you!

Choose the correct product of (8x − 4)(8x + 4)?

What is the product of the expression (8x − 4)(8x + 4)? Please choose the correct option from the following choices: 64x² − 16 64x² + 16 64x² − 64x + 16 64x² + 64x + 16

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Anonymous

Feb 08, 2025

1, 1, 2, 3, 4, 5, 8, 13, 21 – Which one doesn’t belong to this series?

The sequence presented is as follows: 1, 1, 2, 3, 4, 5, 8, 13, 21. Can you identify which number does not belong to this series, and explain the reasoning behind your choice?

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Nona Rowe

Feb 08, 2025

Find the cube roots of 8(cos 216° + i sin 216°).

Could you please help me find the cube roots of the complex number represented in polar form as 8(cos 216° + i sin 216°)?

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Anonymous

Feb 07, 2025

If H(θ) = θ sin θ, find H'(θ) and H”(θ)? Please help!?

I need assistance with a calculus problem. Given the function H(θ) = θ sin(θ), how can I find the first derivative H'(θ) and the second derivative H''(θ)? Thank you for your help!

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Anonymous

Feb 07, 2025

If J = 43, L = 84, and K = 53, list the sides of JLK in order from smallest to largest.

Given the values J = 43, L = 84, and K = 53, please list the sides of triangle JLK in ascending order, from the smallest to the largest side. Additionally, if x = 30 is relevant to the problem, please...

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Anonymous

Feb 06, 2025

Change 432 base 5 to base 10?

I am trying to convert the number 432 from base 5 to base 10. I believe the correct answer should be 117, but I am unsure how my professor arrived at that conclusion. Could someone please explain the...

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Anonymous

Feb 06, 2025

How many 1cm squares would it take to construct a square that is 1m on each side?

How many 1 cm square tiles would be needed to completely cover a square that has dimensions of 1 meter on each side?

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Anonymous

Feb 05, 2025

Help with a question?

What is the average rate of change of the function ( f(x) = x^2 + 5x - 6 ) over the interval ([-1, 5])?