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ahrayia [7]
4 years ago
5

What is the mixed number of 47/11?

Mathematics
1 answer:
slava [35]4 years ago
6 0
\frac{47}{11}=\frac{44+3}{11}=\frac{44}{11}+\frac{3}{11}=4+\frac{3}{11}=\boxed{4\frac{3}{11}}
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Which cylinders have the same volume as the cylinder below? Check all that apply. A cylinder with height of 32 meters and diamet
Vladimir79 [104]

Answer:

10054.4m^3

Step-by-step explanation:

Given data

Height= 32m

Diameter= 20m

Radius= 10m

The expression for the volume of a cylinder is given as

V= πr^2h

Substitute

V= 3.142*10^2*32

V= 3.142*100*32m^3

Hence the volume is 10054.4m^3

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Answer:

2nd and 4th options

Step-by-step explanation:

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1 + 3/5x + 2 = 3/5x + 3

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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

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:

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
can someone help me, Just the answer don’t worry about explaining everything, Im really bad on Math :(
Strike441 [17]

Answer:

a. -2 b. -2 c. -1 d. 4 e. -3 f. 0

Step-by-step explanation:

The average rate of change formula is:

\frac{y_{2}- y_{1}}{x_{2}-x_{1}}

a.  

We need to find the rate of change for x = -3 to x = -2 so we look on the graph to find y.

At x = -3 it look like y = 0  so

x_{1} = -3

y_{1} = 0

At x = -2 it looks like y = 2

x_{2} = -2

y_{2} = 2

Now we can just plug everything in to the rate of change formula.

\frac{y_{2}- y_{1}}{x_{2}-x_{1}}  = \frac{2- 0}{-3-(-2)} = \frac{2- 0}{-3+2} = \frac{2}{-1} = -2

So for a. our rate of chage for the given interval is -2

b.

Now that you have the formula we don't need to explain each time.

x_{1} = -2

y_{1} = 2

x_{2} = 1

y_{2} = - 4

\frac{y_{2}- y_{1}}{x_{2}-x_{1}}  = \frac{-4- 2}{1-(-2)} = \frac{-4-2}{1+2} = \frac{-6}{3} = -2

c.

x_{1} = 0

y_{1} = -3

x_{2} = 1

y_{2} = - 4

\frac{y_{2}- y_{1}}{x_{2}-x_{1}}  = \frac{-4-(-3)}{1-0} = \frac{-4 + 3}{1-0} = \frac{-1}{1} = -1

d.

x_{1} = 1

y_{1} = -4

x_{2} = 2

y_{2} = 0

\frac{y_{2}- y_{1}}{x_{2}-x_{1}}  = \frac{0 - (-4)}{2-1} = \frac{0 + 4}{2-1} = \frac{4}{1} = 4

e.

x_{1} = -1

y_{1} = 0

x_{2} = 0

y_{2} = -3

\frac{y_{2}- y_{1}}{x_{2}-x_{1}}  = \frac{-3- 0}{0-(-1)} = \frac{-3- 0}{0+1} = \frac{-3}{1} = -3

f.

x_{1} = -1

y_{1} = 0

x_{2} = 2

y_{2} = 0

\frac{y_{2}- y_{1}}{x_{2}-x_{1}}  = \frac{0- 0}{2-(-1)} = \frac{0- 0}{2+1} = \frac{0}{3} = 0

4 0
3 years ago
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