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Eddi Din [679]
1 year ago
10

Dimensional Analysis

Mathematics
1 answer:
AlladinOne [14]1 year ago
8 0

A kilogram of silver contains 5.58×10²⁴ atoms.

<h3>How to determine the parameter</h3>

From the question given above, the following data were obtained:

  • 1 mole of silver = 107.9 g
  • Number of atoms in 1 mole of silver = 6.02×10²³ atoms.
  • Number of atoms in a kilogram of silver is unknown

Now, we shall convert 1 kg of silver to grams (g).

This can be obtained as follow:

1 kg = 1000g

Therefore, 1 kg of silver is equivalent to 1000g.

Now, let's determine the number of atoms in 1 kg (i.e 1000 g) of silver as follow:

If 107.9 g of silver contains 6.02×10²³ atoms.

Then, 1000 g of silver will contain:

= (1000 × 6.02×10²³) / 107.9

= 5.58×10²⁴ atoms.

Thus, a kilogram of silver contains 5.58×10²⁴ atoms.

Learn more about atoms here:

brainly.com/question/6258301

#SPJ1

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Jaymile wants to construct congruent angles with a compass and straightedge, while Annie wants to construct congruent segments w
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Answer: See below

Step-by-step explanation:

  • Both will use the straight edge to make segments and use the compass to take measurements.
  • They will draw a line with a straight edge and will find a starting point, then with a compass:
  • Annie will take the measurement of the segment and, from the starting point of the line, will put in the other point to obtain the congruent segment.
  • But in Jaymie's case, she will need to do a little more work with a compass because to build congruent angles, she will need to make a semi-circle in the original angle and transfer this measurement to the new line to construct the angle.
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A number cube is tossed and one card is randomly drawn. Find P(3, yellow) (BTW There are 5 cards 3 yellow 2 blue) The answer cho
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I believe its 1/10 because there are 10 cards 
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3 years ago
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Find the range, mean, and standard deviation of the data set (3, 6, 9, 11, 15, 16) The range is 13 (Type a whole number.) The me
iris [78.8K]

Answer: The range is 13.  The mean is 10. The standard deviation is 4.62 .

Step-by-step explanation:

The given data : 3, 6, 9, 11, 15, 16

Total number of data values : n = 6

The mean of data is given by :-

\overline{x}=\dfrac{\sum^6_{i=1}x_i}{n}\\\\\Rightarrow\overline{x}=\dfrac{60}{6}=10

The standard deviation is given by :-

\sqrt{\dfrac{1}{n}(\sum^6_{i=1}(x_i-\overline{x})^2)}\\\\=\sqrt{\dfrac{1}{6}(\sum^6_{i=1}(x_i-10)^2)}\\\\=\sqrt{\dfrac{1}{6}\times(49+16+1+1+25+36)}=4.61880215352\approx4.62

The range of the data : Maximum value -Minimum value

=16-3=13

6 0
2 years ago
Samantha threw an apple out of a window from the tenth floor of her apartment building.The equation y=-16t^2+120 can be used to
Savatey [412]
If the apple is on the ground, then the height y is 0. To find t, just plug in 0 for y:
0=-16t^{2}+120
-120=-16t^{2}
t^{2} =7.5
t=2.74

So the answer is 2.74 seconds.

Note that taking the square root of 7.5, mathematically, gives you both 2.74 and -2.74. But because we know that time did not go backwards, only the positive value for t was considered.
5 0
3 years ago
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A farmer has 520 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one s
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Answer:

310\text{ feet and }210\text{ feet}

Step-by-step explanation:

GIVEN: A farmer has 520 \text{ feet} of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is 310 \text{ feet}.

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

SOLUTION:

Let the length of rectangle be x and y

perimeter of rectangular pen =2(x+y)=520\text{ feet}

                                                x+y=260

                                               y=260-x

area of rectangular pen =\text{length}\times\text{width}

                                       =xy

putting value of y

=x(260-x)

=260x-x^2

to maximize \frac{d \text{(area)}}{dx}=0

260-2x=0

x=130\text{ feet}

y=390\text{ feet}

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen =310\text{ feet}

                              width of rectangular pen =210\text{ feet}

Maximum area of rectangular pen =310\times210=65100\text{ feet}^2

Hence maximum area of rectangular pen is 65100\text{ feet}^2 and dimensions are 310\text{ feet and }210\text{ feet}

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