A ball is thrown into the air with an upward velocity of 44 ft/s. Its height h in feet after t seconds is given by the function . What is the height of the ball after 2 seconds?
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Simplify this step by step
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Remember that:
6r+7=13+7r how do you solve this?
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Simplifying 6r + 7 = 13 + 7r Reorder the terms: 7 + 6r = 13 + 7r Solving 7 + 6r = 13 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 7 + 6r + -7r = 13 + 7r + -7r Combine like terms: 6r + -7r = -1r 7 + -1r = 13 + 7r + -7r Combine like terms: 7r + -7r = 0 7 + -1r = 13 + 0 7 + -1r = 13 Add '-7' to each side of the equation. 7 + -7 + -1r = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -1r = 13 + -7 -1r = 13 + -7 Combine like terms: 13 + -7 = 6 -1r = 6 Divide each side by '-1'.
Twelve less than the product of three and a number is less than 21.
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the answer is 11
11x3= 33
33-12=21
Determine whether the sequence converges or diverges. if it converges give the limit. 48, 12, 3, 3/4, ...
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The sequence converges. The limit of the sequence is 0.
This is a geometric sequence with the first term a = 48 and r = 1/4 = 0.25 as the common ratio. Since |r| < 1, this means that the terms are steadily getting smaller and smaller. The terms will approach 0 but not actually get there.
Note: if you added up all the terms of this infinite sequence, then the sum would be S = a/(1-r) = 48/(1-0.25) = 64
Wat does y2-y1 / x2-x1 have to do with sequences??!!
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It doesn't. That's the formula to calculate the gradient of a line (of the form y=mx+c).