Thank you EP for posting the correction. I posted a correction, too, but mine has been languishing in A.I. Moderation. It's weird, and infuriating, because I posted an answer to the preceding question, calculated the exact same way, and A.I. did publish that one.
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I graphed it on Desmos and the best I can tell, the rightmost point is (5.2, 2.6) so 5.2
What is the coefficient of x in (x^3 + x^2 + x + 1)(x^4 + 3x^3 + 4x^2 + 8x + 7)?
(x3 + x2 + x + 1)(x4 + 3x3 + 4x2 + 8x + 7) x • 7 = 7x
(x3 + x2 + x + 1)(x4 + 3x3 + 4x2 + 8x + 7) 1 • 8x = 8x
add them up
15x
What is the coefficient of x^2 in (x^3 + x^2 + x + 1)(x^4 + 3x^3 + 8x + 7x + 1)?
(x3 + x2 + x + 1)(x4 + 3x3 + 8x2 + 7x + 1) I think you left off that exponent.
x2 • 1 = x2
x • 7x = 7x2
1 • 8x2 = 8x2
add them up 16x2
Will you post them? I found only 32.
211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293
307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397
What are the other six?
If you multiply the 450 by 1/45, you get 10. Does that work?
What is the smallest positive multiple of 450 whose digits are all zeroes and ones?
I'm not sure of the exact meaning of the question, but I'll go out on a limb and say 10.
What is the radius of the sphere whose volume is 33 times its surface area?
Vsphere = (4 / 3) π r3
Asphere = 4 π r2
V = 33A
(4 / 3) π r3 = 33 • 4 π r2
multiply both sides by 3 4 π r3 = 396 π r2
divide both sides by π r2 4r = 396
r = 99
Both legs 1 unit each makes the hypotenuse sqrt(2). Perimeter 3.414 units.
How many prime numbers are there from 200-400
32 of them
