Ask question

Ask question

All categories

2 years ago

6

I will make you brainiest!!! Help Fast!!!!!

1 answer:

erastova [34]2 years ago

8 0

<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em> </em><em>⤴</em>

<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em>

You might be interested in

How do you do a flow proof?

nikdorinn [45]

I can talking a flow proof about geometry
A flow proof is just one representational style for the logical steps that go into proving a theoremor other proposition; rather than progress read in two columns, as traditional proofs do flow proofs utilize boxes and linking arrows to show the structure or the argument.

5 0

2 years ago

A piece of paper is to display ~128~ 128 space, 128, space square inches of text. If there are to be one-inch margins on both si

Grace [21]

Answer:

The dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches

Step-by-step explanation:

We have that:

$Area = 128$

Let the dimension of the paper be x and y;

Such that:

$Length = x$

$Width = y$

So:

$Area = x * y$

Substitute 128 for Area

$128 = x * y$

Make x the subject

$x = \frac{128}{y}$

When 1 inch margin is at top and bottom

The length becomes:

$Length = x + 1 + 1$

$Length = x + 2$

When 2 inch margin is at both sides

The width becomes:

$Width = y + 2 + 2$

$Width = y + 4$

The New Area (A) is then calculated as:

$A = (x + 2) * (y + 4)$

Substitute $\frac{128}{y}$ for x

$A = (\frac{128}{y} + 2) * (y + 4)$

Open Brackets

$A = 128 + \frac{512}{y} + 2y + 8$

Collect Like Terms

$A = \frac{512}{y} + 2y + 8+128$

$A = \frac{512}{y} + 2y + 136$

$A= 512y^{-1} + 2y + 136$

To calculate the smallest possible value of y, we have to apply calculus.

Different A with respect to y

$A' = -512y^{-2} + 2$

Set

$A' = 0$

This gives:

$0 = -512y^{-2} + 2$

Collect Like Terms

$512y^{-2} = 2$

Multiply through by $y^2$

$y^2 * 512y^{-2} = 2 * y^2$

$512 = 2y^2$

Divide through by 2

$256=y^2$

Take square roots of both sides

$\sqrt{256=y^2$

$16=y$

$y = 16$

Recall that:

$x = \frac{128}{y}$

$x = \frac{128}{16}$

$x = 8$

Recall that the new dimensions are:

$Length = x + 2$

$Width = y + 4$

So:

$Length = 8 + 2$

$Length = 10$

$Width = 16 + 4$

$Width = 20$

To double-check;

Differentiate A'

$A' = -512y^{-2} + 2$

$A" = -2 * -512y^{-3}$

$A" = 1024y^{-3}$

$A" = \frac{1024}{y^3}$

The above value is:

$A" = \frac{1024}{y^3} > 0$

This means that the calculated values are at minimum.

<em>Hence, the dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches</em>

3 0

2 years ago

Is this correct? Yes or no, and explain your answer.

Ilya [14]

Answer:

I think the answer you have is correct

Step-by-step explanation:

8 0

2 years ago

Simplify the expression.57 – 12 ÷ 4 • 3

JulsSmile [24]

Remember P.E.M.D.A.S

57 - 12 ÷ 4 · 3

= 57 - 3 · 3

= 57 - 9

= 48

7 0

3 years ago

If Professor Wilson found that the test scores of his students had a variance of 4.4, what is the standard deviation? Type a num

malfutka [58]

Answer:

The standard deviation will be: 2.1

Step-by-step explanation:

We know that standard deviation is basically the square root of variance.

Using the formula to calculate the standard deviation

$s=\sqrt{s^2}$

As

The variance = s² = 4.4

so the standard deviation can be calculated as:

standard deviation $=\sqrt{s^2}$

$=\sqrt{\left(4.4\right)^}$

$=2.1$

Therefore, the standard deviation will be: 2.1

8 0

3 years ago