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Find x if \(\frac{16^{2 + x}}{4} = 64^x\)
P(x, 4) and Q( 10, 8) are two points joined by a straight line in a plane. If the midpoint of the line is (9, 6), find the value of x.
The scores of students in a test are recorded as follows: 4, 3, 3, 2, 1, 2, 5, 7, 8, 3, and 5. Find the mode of the mark.
Find the 7\(^{th}\) term of the sequence -10, 50, -250 ...........
Find the perimeter of a triangle whose vertices pass through ( 3, 2), (4, 5) and (6, 2) in surd form.
Simplify \(\frac{ 5 + \sqrt{7}}{3 + \sqrt{7}}\)
Differentiate y = (5x + 1)\(^4\)
A boy bought Oranges at the rate of #24.00 for 5 and sold it at the rate of # 30.00 for 4 Oranges. Find the profit made of the ones sold
From the top of a building 10m high, the angle of elevation of a fruit on top of a tree 25m is 30º. Calculate the horizontal distance between the building and the tree.
The Venn diagram above shows the number of students offering physics and chemistry in a class of 65. What is the probability that a student selected from the class offers physics and chemistry if every students offers at least one subject?
PQR is a triangle such that |PQ| = |QR| = 8cm and QPR = 60º. Find the area of \(\angle\) PQR
The sum to infinity of a GP is 100, find its first term if the common ratio is -\(\frac{1}{2}\)
Let A = \(\begin{pmatrix}2 & -4 & 3\\5 & 1 & 0\end{pmatrix}\) and B = \(\begin{pmatrix}1 & 4 & -2\\-3 & 3 & -1\end{pmatrix}\). Find A + 2B
The graph above represents inequalities
In how many ways can 6 people sit around a table
Identify the equation of the shaded region in the given graph
From the figure above, find the length of Chord PQ
Which of the following is a measure of central tendency?
If p * q = 2p + pq + q, find p when ( p * 2) - (p * 1) = 40
The ratio of men to women in a 20-member committee is 3:1. How many women must be added to the committee to make the ratio of men to women 3:2?