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kykrilka [37]
2 years ago
8

Let u=(5,-12)and c= -3. What is llcull

Mathematics
1 answer:
ASHA 777 [7]2 years ago
5 0

If c is a scalar and u is a vector, then ||cu|| = |c| ||u||.

(|…| means absolute value, ||…|| means magnitude)

We have

||u|| = √(5² + (-12)²) = √169 = 13

and with c = -3, it follows that

||cu|| = |-3| × 13 = 3 × 13 = 39

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            y = a(b)ˣ

  • y: final population of zombies
  • a: initial population of zombies
  • b: rate of decrease
  • x: number of hours

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b)

\begin{array}{c|c|c||l|c}\underline{\quad a\quad}&\underline{\quad b\quad}&\underline{\quad x\quad}&\underline{\quad 500,000(0.5)^x=y \qquad}&\underline{\quad 500,000-y=A\quad}\\500,000&0.5&5&500,000(0.5)^5=15,625&\bold{484,375}\\500,000&0.5&10&500,000(0.5)^{10}=488&\bold{499,512}\\500,000&0.5&15&500,000(0.5)^{15}=15&\bold{499,985}\\500,000&0.5&20&500,000(0.5)^{20}=0&\bold{500,000}\\\end{array}

(Graph attached)

c) The assassins will earn 100,000 + 2(499,985) = $1,099,970 after 15 hours.

The number of zombies needed to assassinate in order to earn $1,000,000:

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   The population of zombies is zero when x = 20 hours

   How much money did the assassinators earn?

   100,000 + 2(500,000) = $1,100,000

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