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Shtirlitz [24]
3 years ago
5

A ream of a certain brand of paper weighs about 3.225 pounds. A ream contains 500 sheets of paper. How much does a sheet of pape

r​ weigh?
Mathematics
1 answer:
goldfiish [28.3K]3 years ago
5 0

Answer:

A single sheet of paper should weigh: <u>0.00645 pound</u> or  6.45*10^{-3} (in scientific notation)

Step-by-step explanation:

Divide 3.225 (the weight of the ream of paper) by 500 (the amount of paper in a ream).

If you need the scientific notation form, simply move the decimal point/place right or left until you end up with a whole number that is between 1 and 10 (in this case, <u>3 times to the right</u>), then determine what power of 10 it should be, depending on the number of times you moved the decimal place (in this case, the power is <u>-3</u>).

The power/exponent is determined by the direction you have to move your decimal point, right=negative and left=positive. For example, if you started off with the number 6450, you would move the decimal point 3 times to the left and your power would be positive 3, which results in 6.45*10^{3}.

Hope this helps!

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The answer would be C.

Step-by-step explanation:

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Elena and Diego each wrote equations to represent these diagrams. For
Tpy6a [65]

Elena is correct

Step-by-step explanation:

This is because a straight angle is always equal to 180 therefore in order to find the value of *w* you would have to add up to angles that are given and subtract them from 180, or in this case add up all the angles including *w* to get 180.

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2 years ago
F(x) = x + 1, find f(x+3)
Tom [10]

Answer:

Step-by-step explanation:

f(x) = x + 1, find f(x+3)

f(x+3) = x + 3 + 1 = x + 4

5 0
3 years ago
Read 2 more answers
Which of the following tables represents a function? x 2 2 3 3 y 5 −5 6 −6 x 4 −4 4 −4 y 1 2 3 4 x 6 6 7 7 y 2 3 4 5 x 2 −2 4 −4
Crank

Answer: Fourth option.

Step-by-step explanation:

By definition, a relationship is a function if and only if each input value (or each x-value) has only one output value (or y-value).

Given the first table:

x|2\ \ 2\ \ 3\ \ 3\\y|5-5\ 6-6

You can notice that the input values 2 and 3 do not have only one output value. Therefore, this table does not represent a function.

The second table is:

x|4-4\ 4\ -4\\y|1\.\ \ 2\ \.\ \ 3\ \ 4

 You can notice that the input values 4 and -4 do not have only one output value. Therefore, this table does not represent a function.

The third table is:

x| 6\ 6\ 7\ 7\ \\y|2\ 3\ 4\ 5

 You can notice that the input values 6 and 7 do not have only one output value. Therefore, this table does not represent a function.

The fourth table is:

x| 2\ -2\ 4\ -4\ \\y|8\ \.\ \ 8\ \ 12\ \ 12

 You can notice that each input value has only one output value. Therefore, this table represents a function.

4 0
3 years ago
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Quadrilateral TRAM is rotated -90 degrees about the origin. Draw the image of this rotation.
SpyIntel [72]

Answer:

Please find attached the image of the quadrilateral TRAM after a rotation of -90 degrees, created with MS Excel

Step-by-step explanation:

The given coordinates of the vertices of the quadrilateral TRAM are;

T(-5, 1), R(-7, 7), A(-1, 7), M(-5, 4)

By a rotation of -90 degrees = Rotation of 90 degrees clockwise, we get;

The coordinates of the preimage before rotation = (x, y)

The coordinates of the image after rotation = (y, -x)

Therefore, we get for the the quadrilateral T'R'A'M', by rotating TRAM -90 degrees as follows;

T(-5, 1) → T'(1, 5)

R(-7, 7) → R'(7, 7)

A(-1, 7) → A'(7, 1)

M(-5, 4) → M'(4, 5)

The image of TRAM after -90 degrees rotation is created by plotting the derived points of the quadrilateral T'R'A'M' on MS Excel and joining the corresponding points as presented in the attached diagram.

7 0
3 years ago
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