Simplify 1 - (\(\frac{1}{7}\) x 3 \(\frac{1}{2}\)) \(\div\) \(\frac{3}{4}\)
2
\(\frac{1}{3}\)
1
\(\frac{2}{3}\)
Correct answer is B
1 - (\(\frac{1}{7}\) x 3 \(\frac{1}{2}\)) \(\div\) \(\frac{3}{4}\)
1 - (\(\frac{1}{7}\) x \(\frac{7}{2}\)) x \(\frac{4}{3}\)
1 - \(\frac{1}{2}\) x \(\frac{4}{3}\)
1 - \(\frac{2}{3}\) = \(\frac{1}{3}\)
The nth term of the sequence 3, 9, 27, 81.....is
3 x 3n-2
3 x 3n-1
3 x 3n+2
3 x 3n+1
Correct answer is B
3,9,27,81,.....
r = \(\frac{9}{8}\) = 3
Tn = arn-1
Tn = 3(3)n-1 = \(\frac{3(3^2)}{3}\)
If y = 2x3 + 6x2 + 6x + 1, Find \(\frac{dy}{dx}\)
6x2 + 12x + 1
6x2 + 6x + 1
6x2 + 6x + 6
6x2 + 12x + 6
Correct answer is D
y = 2x3 + 6x2 + 6x + 1
\(\frac{dy}{dx}\) = 6x2 + 12x + 6
Evaluate \(\frac{12.02 \times 20.06}{26.04 \times 60.06}\), correct to three significant figures.
0.157
0.154
0.155
0.158
Correct answer is B
\(\frac{12.02 \times 20.06}{26.04 \times 60.06}\) = \(\frac{241.1212}{15698.96}\) = 0.154
The mean of 2-t, 4+t, 3-2t, 2+t and t-1 is
2
t
-t
-2
Correct answer is A
Mean = \(\frac{2 - t + 4 + t + 3 - 2t + 2 + t + t - 1}{5}\)
= \(\frac{10}{5}\) = 2