Simplify\(\frac{3x^{3}}{(3x)^{3}}\)
1
\(\frac{1}{3}\)
\(\frac{1}{9}\)
\(\frac{1}{27}\)
Correct answer is C
\(\frac{3x^{3}}{(3x)^{3}}\\
\frac{3x^{3}}{3x\times 3x\times 3x}=\frac{3\times x\times x\times x}{3\times 3\times 3\times x\times x\times x}=\frac{1}{9}\)
Which of the following is true for the set \(P = \{-3.2\leq x< 5\}\) where x is an integer
least value of x is -3.2
least value of x is -3
greatest value of x is 4.9
greatest value of x is 5
Correct answer is A
No explanation has been provided for this answer.
Simplify \(3\sqrt{45}-12\sqrt{5}+16\sqrt{20}\)leaving your answer in surd form
\(29\sqrt{5}\)
\(14\sqrt{15}\)
\(12\sqrt{15}\)
\(11\sqrt{5}\)
Correct answer is A
\(3\sqrt{45}-12\sqrt{5}+16\sqrt{20}\\
3\sqrt{5\times 9}-12\sqrt{5}+16\sqrt{4\times 5}\\
3\times 3\sqrt{5}-12\sqrt{5}+16\times 2\sqrt{5}\\
9\sqrt{5}-12\sqrt{5}+32\sqrt{5}\\
29\sqrt{5}\)
If \(p\propto \frac{1}{q}\), which of the following is true?
\(\propto p^{2}\)
\(p\propto \frac{1}{q^{2}}\)
\(q\propto \sqrt{p}\)
\(q\propto \frac{1}{p}\)
Correct answer is D
\(p\propto \frac{1}{q} = q \propto \frac{1}{p}\)
Simplify \((0.3\times 10^{5})\div (0.4\times 10^{7})\)leaving your answer in standard form
\(7.5\times 10^{-4}\)
\(7.5\times 10^{-3}\)
\(7.5\times 10^{-2}\)
\(7.5\times 10^{-1}\)
Correct answer is B
\((0.3\times 10^{5})\div (0.4\times 10^{7})\\
\frac{3}{10}\times 10^{5}\div \frac{4}{10}\times 10^{7}=3\times 10^{4}\div 4\times 10^{6}\\
\frac{3\times 10^{4}}{4\times 10^{7}}=\frac{3}{4}\times 10^{-2}=0.75\times 10^{-2}\\
7.5\times 10^{-3}\)