M varies jointly as the square of n and square root of q....
M varies jointly as the square of n and square root of q. If M = 24 when n = 2 and q = 4, find M when n = 5, q = 9.
288
400
300
225
Correct answer is D
\(M ∝ n^2\sqrt{q}\)
\(M = Kn^2\sqrt{q}\)
K = \(\frac{M}{n^2\sqrt{q}}\)
K = \(\frac{24}{2^2\sqrt4}\)
k = \(\frac{24}{8} = 3\)
Now, let's find M when n = 5 and q = 9
M = \(Kn^2\sqrt{q}\)
M = \( 3\times5^2\sqrt9\)
\(M = 3\times25\times3\)
Therefore, M = 225.
The range of the data: k+2, k-3, k+4, k-2, k, k-5, k+3, k-1, and k+6 is ...
Evaluate [\(\frac{1}{0.03}\) \(\div\) \(\frac{1}{0.024}\)]-1 correct to 2 decimal places...
The H.C.F. of a2bx + ab2x and a2b - b2 is...
In the diagram above, XY = 8cm and OX = 5cm. Find Oz ...
Which of the following is not a rational number? ...
Express the quotient of 0.422 and 0.004 in standard form ...
Evaluate \(\frac{(81)^{\frac{3}{4}} - (27)^{\frac{1}{3}}}{3 \times 2^3}\)...