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4 years ago

Tell me how you go it

Mathematics

2 answers:

Dafna11 [192]4 years ago

7 0

x will be 67 because in each case the angles are alternate interior angle so we can prove x=67degree

swat324 years ago

6 0

Answer:

x=67deg.

Step-by-step explanation:

by opposite angles at intersecting lines n corresponding angles of parallel lines, x=67deg.

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X(3x-1)
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4 years ago

Tammy's dad worked 618 hours in half a year. Louie's mom worked 487 hours in half a year

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4 years ago

Write 6.3 x 10^4 in standard notation.

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3 years ago

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Where does the line cross in the equation y=2x=12

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3 years ago

Part 2: The Zombie Assassin

Tatiana [17]

Answer: See below

<u>Step-by-step explanation:</u>

y = a(b)ˣ

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

Given: a = 500,000 b = 50% (0.5)

y = 500,000(0.5)ˣ

Since we want to know the number assassinated (A), subtract the total from the final population of zombies

A = 500,000 - y

a) Equation: 500,000 - 500,000(0.5)ˣ

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

(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:

100,000 + 2z = 1,000,000

2z = 900,000

z = 450,000

d) How long will it take to eliminate all of the zombies?

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

3 0

4 years ago