Simplify \(\left(\frac{16}{81}\right)^{-\frac{3}{4}}\times \sqrt{\frac{100}{81}}\)
\(\frac{80}{243}\)
\(\frac{1}{64}\)
\(\frac{25}{6}\)
\(\frac{15}{4}\)
Correct answer is D
\(\left(\frac{16}{81}\right)^{-\frac{3}{4}}\times \sqrt{\frac{100}{81}}\\
\frac{1}{\left(\sqrt[4]{\frac{16}{81}}\right)^3}\times \frac{10}{9}=\frac{1}{\left(\frac{2}{3}\right)^3}\times\frac{10}{9}\\
=\frac{27}{8}\times \frac{10}{9}=\frac{15}{4}\)
\(\frac{1}{3}\)
\(\frac{1}{2}\)
\(1\frac{1}{6}\)
\(1\frac{1}{2}\)
Correct answer is D
\(2\frac{1}{6} + 2\frac{7}{12}\)
= \(\frac{13}{6} + \frac{31}{12}\)
= \(\frac{26 + 31}{12}\)
= \(\frac{57}{12} = \frac{19}{4}\)
\(\frac{19}{4} - 3\frac{1}{4}\)
= \(\frac{19}{4} - \frac{13}{4}\)
= \(\frac{6}{4}\)
= \(1\frac{1}{2}\)
3453
5556
6016
13453
Correct answer is A
4321\(_7\) + 1234\(_7\) = 5555\(_7\)
Missing number = 12341\(_7\) - 5555\(_7\)
= 3453\(_7\)
Simplify \(\frac{10}{\sqrt{32}}\)
\(\frac{5}{4}\sqrt{2}\)
\(\frac{4}{5}\sqrt{2}\)
\(\frac{5}{16}\sqrt{2}\)
\(\frac{16}{5}\sqrt{2}\)
Correct answer is A
\(\frac{10}{\sqrt{32}}=\frac{10}{\sqrt{16\times 2}} = \frac{10}{4\sqrt{2}}\\
\frac{10\times \sqrt{2}}{4\sqrt{2}\times\sqrt{2}}=\frac{10\sqrt{2}}{4\times 2}= \frac{5}{4}\sqrt{2}\)
Soil factors in an ecosystem are referred to as
topographic
climatic
biotic
edaphic
Correct answer is D
No explanation has been provided for this answer.