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3 years ago

A recipe requires \frac{1}{3}

Mathematics

1 answer:

agasfer [191]3 years ago

6 0

Answer:A

Step-by-step explanation:

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Find the volume of a cylinder that has a radius of 7 and a height of 16.

dezoksy [38]

To find the volume of a cylinder, start with the formula for the volume of a cylinder.

Volume = $\pi$ $r^{2}$ $^{h}$

Notice that our cylinder has a radius of 7 and a height of 16. So we have

( $\pi$ ) (7) $^{2}$ (16)

Let's start by simplifying the exponents. $7^{2}$ ≈ 49

( $\pi$ ) (49) (16)

49 × 16 = 784 $\pi$ $m^{3}$

We can add a unit so we have 784 $\pi$ $m^{3}$ .

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4 years ago

Read 2 more answers

Y² + 4x - 20 - 2y = -x²

LUCKY_DIMON [66]

What we have to find in this question

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4 years ago

The Yu family and the Sainz family went on vacation together and each family leased a car. The leasing company charged a flat re

dangina [55]

Answer:

y = 0.15x+77 is the equation linear connecting total cost y and miles driven x

Step-by-step explanation:

Given that the leasing company charged a flat rental fee for the week, plus a charge for each mile driven.

Let flat rental fee be c and cost per mile driven = m and miles driven = x

Total cost =y

Then y = mx+C is the linear equation.

to find m and c, we use the fact that y =110.30 when x = 222

i.e. 110.30 = c+222x

and similarly 99.05 = c+147x

Subtract to eliminate c

11.25 = 75 x

0.15 =x

Substitute in I equation

110.30 = c+222(0.15)

c = 77

y = 0.15x+77 is the equation linear connecting total cost y and miles driven x

7 0

4 years ago

Write x2 - 12x + 8 in vertex form.

valentina_108 [34]

Hello,
$x^2-12x+8=x^2-2*6x+6^2-36+8=(x-6)^2-28
$

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4 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