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Arisa [49]
3 years ago
5

What's the hight of a million pennies

Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0

The thickness of a brand new US penny that hasn't been
worn down is 1.52 millimeters.

If you have a million pennies, there are many ways to arrange them.
You can pile them all in one pile, or shovel them into many piles, or
stack them up in any number of stacks up to a half-million stacks
with two pennies in each stack, or try somehow to stack them all up
in one stack that's a million thicknesses high.

Any stack with 'n' pennies in the stack is  1.52n millimeters high.

If you somehow succeed in stacking all million of them in one stack,
then the height of that stack would be . . .

       (1,000,000) x (1.52 mm) =  1,520,000 millimeters
                                                         152,000 centimeters
                                                             1,520 meters
                                                               1.52 kilometers

                                            (about 59,842.5 inches
                                                          4,986.9 feet
                                                         1,662.3 yards
                                                               7.56 furlongs
                                                            0.944 mile
                                                                  all rounded)

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trapecia [35]
Not much can be done without knowing what \mathbf F(x,y,z) is, but at the least we can set up the integral.

First parameterize the pieces of the contour:

C_1:\mathbf r_1(t_1)=(2\sin t_1,2\cos t_1,0)
C_2:\mathbf r_2(t_2)=(1-t_2)(2,0,0)+t_2(3,3,3)=(2+t_2, 3t_2, 3t_2)

where 0\le t_1\le\dfrac\pi2 and 0\le t_2\le1. You have

\mathrm d\mathbf r_1=(2\cos t_1,-2\sin t_1,0)\,\mathrm dt_1
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and so the work is given by the integral

\displaystyle\int_C\mathbf F(x,y,z)\cdot\mathrm d\mathbf r
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5 0
3 years ago
 A tree casts a shadow that is about 10 ft long. Javier, who is about 5 ft tall, is standing near the tree. Javier’s shadow is a
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4 0
3 years ago
Find the zero(s) of each function algebraically.<br>f(x) = 8x-16<br>​
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the zero(s) of function  f(x)=8x-16 is x=2

Step-by-step explanation:

We need to find the zero(s) of function algebraically.

We are given: f(x)=8x-16

To find the zeros we put the function equal to zero.

8x-16=0\\Solving:\\8x=16\\x=\frac{16}{8}\\x=2

So, the zero(s) of function  f(x)=8x-16 is x=2

Keywords: zero(s) of function

Learn more about zero(s) of function at:

  • brainly.com/question/1414350
  • brainly.com/question/1464739
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#learnwithBrainly

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3 years ago
The average THC content of marijuana sold on the street is 11%. Suppose the THC content is normally distributed with standard de
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Step-by-step explanation:

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6 0
3 years ago
The length (in centimeters) of a typical Pacific halibut t years old is approximately f(t) = 200(1 − 0.956e−0.18t). Suppose a Pa
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Answer:

7.2 years

Step-by-step explanation:

f(t) =200(1 - 0.956e^{-0.18t})

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given the Mike measures 148 cm, we need to find out the age

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divide both sides by 200

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Divide both sides by -0.956

\frac{0.26}{0.956} =e^{-0.18t}

Now take ln on both sides

\frac{0.26}{0.956} =e^{-0.18t}

ln(\frac{0.26}{0.956} )=-0.18tln(e)

ln(\frac{0.26}{0.956} )=-0.18t

divide both sides by -0.18

t=7.2

So 7.2 years

5 0
3 years ago
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