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v = 2π(5)/40 = π/4 m/s a = v ²/r = (π/4)²/5 = π²/80 m/s² towards the centre of the circle.
Let f(x) = ax^3 + bx^2 + cx - 1. If (x - p) is a factor of f(x), then f(p) = 0. Since (x-1) is a factor of f(x), then f(1) = 0 f(1) = a(1)^3 + b(1)^2 + c(1) - 1 = 0 a + b + c - 1 = 0..........Equation 1 Repeat this process for (x + 1) and (x - 2),
I experimented with a list of integers 1-27. For example, if we choose 1,2,3,4......then we'd have to jump to 9,10,11,12 to ensure no differences of 4.....then to 17,18,19,20.....and lastly to 25,26,27. That is 15 numbers altogether. Any other number drawn
Correction on item a): Use points Q and R :)
Plot the given points on a Cartesian plane, label them, and join them with a ruler. This helps immensely to see what needs to be done. a) Find the midpoint A of QR using the formula Ms Pi provided. Use points P and Q. b) PA is a median and QR is an
Geneva's temperature is - 3 C, which is 12 C colder than Nikki's town. - 3 C + 12 C = 9 C So Nikki's town's temperature is 9 C. Choose the city with that temperature from your list.
This is in addition to Henry's approach, in case you haven't learned logarithms yet. I don't know what kind of graphing calculator you are using, but it sounds like you entered the data in the STAT area of your calculator, which is correct for finding the
The key tells you what the numbers are. 1 | 3 is 130,000, which means the stem (1) holds the 100000's place and the leaf (3) holds the 10000's place. So in your chart, the first piece of data is 0|2. Since 0 means there's nothing in the 100000's place, the
a) Find the z-score that corresponds to a thickness of 3.0 mm: z = (x - μ)/σ z = (3.0 - 4.9)/1.5 z ~ -1.27 So the probability that x < 3.0, or P(X
