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If the lengths of all sides of a box are doubled, how much is the volume increased?
a. 2 times
b. 4 times
c. 6 times
d. 8 times
d. The volume of a box is taken by multiplying length × length × length or l × l × l = l3. If the length is doubled, the new volume is (2l ) × (2l ) × (2l ) or 8(l 3). When we differnciate the two expressions, we will see that the difference is a factor of 8. Thus, the volume has been increased by a factor of 8.
Two boats leave the same port at the same time. One travels at a constant speed of 30 km/hr at a bearing of 50° and the other on a bearing of 110° at a constant speed of 26 km/hr.
With reference to Fig. 1(a) show that the magnification of an object is given by M=SID/SOD. With reference to Fig. 1(b) show that the size of the penumbra (blur) f is given by f
The operator of an amusement park game remain track of how many tries it took participants to win the game. The subsequent is the data from the ?rst ten people: 2, 6, 3, 4, 6, 2, 8
Memphis, Tennessee, and New Orleans, Louisiana, lie approximately on the same meridian. Memphis has latitude 35°N and New Orleans has latitude 30°N. Find the distance between these
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Consider the function f(x) = x 2 - 2x - 1. (a) Factorise f(x) exactly. (b) Find the exact points (x and y coordinates required) where the graph of y = f(x) cuts the x and y-
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