Which of the following is NOT a factor of 12\(^{4}\) - 5\(^{4}\)?
7
13
17
49
169
Correct answer is D
124 - 54 = (122)2 - (52)2
= (122 + 52) x (122 - 52)
(144 + 25)(144 - 25)
= (169)(119)
Factors of above 169, 17, 13, 7
Evaluate \((2^{0} + 4^{-\frac{1}{2}})^{2}\)
\(\frac{1}{4}\)
\(\frac{5}{4}\)
\(\frac{9}{4}\)
4
9
Correct answer is C
\((2^{0} + 4^{-\frac{1}{2}})^{2}\)
= \((1 + (\frac{1}{4})^{\frac{1}{2}})^{2}\)
= \((1 + \frac{1}{2})^{2}\)
= \((\frac{3}{2})^{2} = \frac{9}{4}\)
Write down the number 0.0052048 correct to three significant figures
0.005
0.0052
0.00520
5.2048
5204
Correct answer is C
0.0052048 = 0.00520
Find, correct to three significant figures, the value of \(\sqrt{41830}\).
205
647
2050
6470
64.7
Correct answer is A
\(\sqrt{41830} = 204.5238\)
\(\approxeq 205\) (to three significant figures)
p< 0
p\(\geq\) 0
p \(\leq\) 0
p < 1
p > 0
Correct answer is E
\(\frac{k}{k + 1}\) + \(\frac{k + 1}{k}\)
= \(\frac{k^2 + (k + 1)^2}{k(k + 10}\)
= \(\frac{2k^2 + 2k + 1}{k(k + 1}\)
let k = \(\frac{1}{2}\)
p = \(\frac{10}{3}\)
p > 0