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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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3 years ago
If triangle ABC defined by the coordinates A(1,1), B(9,1), C(1,9) is dilated by a scale factor of 1/2
alukav5142 [94]

Answer:

The transformed points of the triangle ABC are A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right), B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right), C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)

Step-by-step explanation:

The new points after applying the scale factor are, respectively:

A' (x,y) = \frac{1}{2}\cdot (1,1)

A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right)

B' (x,y) = \frac{1}{2}\cdot (9,1)

B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right)

C'(x,y) = \frac{1}{2}\cdot (1,9)

C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)

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3 years ago
You watch a football game. The team you cheer for loses 5 yards on three plays in a row. Which expression shows the total loss i
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Read 2 more answers
Graph the following function and identify any shifts, stretches, and symmetry and x and y intercepts:
klasskru [66]

Shifts:

Shifted three units right and two units up to match the blue parabola

Stretches:

It doesn't have any stretches

Symmetry:

x=3

x and y intercepts:

x intercpets: It has no x-intercepts

y-intercepts: (0, 11)

<h2>Explanation:</h2>

The pattern of the quadratic function is:

f(x)=x^2

Whose graph is shown below as the red parabola.

So here we need to identify some characteristics of:

y = f(x) = (x - 3)^2 + 2

Whose graph is shown below as the blue parabola.

As you can see, the blue parabola is a transformation of the red parabola. The rule is as follows:

  • The red parabola has been shifted three units right and two units up to match the blue parabola.

This is so because, for any function:

y=f(x)

We have the following transformations:

y=h(x)=f(x+c)+k \\ \\ \\ \bullet \ c>0 \ Shift \ f(x) \ c \ units \ to \ the \ left \\ \\ \bullet \ c0 \ Shift \ f(x) \ k \ units \ up \\ \\ \bullet \ k

On the other hand, the blue graph has neither stretches nor x intercepts. Finally, its axes of symmetry is x=3. The y-intercept is (0, 11) is indicated in the figure.

<h2>Learn more:</h2>

Shifting graphs: brainly.com/question/10010217

#LearnWithBrainly

7 0
2 years ago
Which expression is a difference of squares with a factor of 2x5?
Sedbober [7]

Answer:

{( \sqrt{3.5} })^{2}  -  {( \sqrt{1.5} )}^{2}

Step-by-step explanation:

The difference of two squares identity is

{x}^{2}   -  {y}^{2}  = (x  - y)(x + y)

When we let

\sqrt{3.5}

and

\sqrt{1.5}

, we get:

{( \sqrt{3.5} )}^{2}  -  {( \sqrt{1.5}) }^{2}  = (3.5 - 1.5)(3.5 + 1.5)

This will simplify to give us the required factors

{( \sqrt{3.5} )}^{2}  -  {( \sqrt{1.5}) }^{2}  =2 \times 5

7 0
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