It is a widely held belief that a typical piece of printer paper with a thickness of 0.1 mm can go through at most 7 folds. When folding a piece of paper in half, the number of layers doubles with each fold, which also doubles the thickness. Sylvia is testing this theory and employing a hydraulic press in order to ensure each fold is as tight as possible. If Sylvia is successful in folding the paper completely, determine the thickness of her piece of printer paper after being folded in half 7 times.

Answers

Answer 1
Answer:

12.8mm

Step-by-step explanation:

[tex]0.1\times2^7\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \left\{2^7\right.=2\times2\times2\times2\times2\times2\times2\\ =0.1\times128\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =\left.\ 128\right\}\\ =12.8mm[/tex]

I hope this helps you

:)


Related Questions

Balance the following chemical equation. (20 pts)

Answers

Answer:

4Cl + 2Pb → 2PbCl2

Step-by-step explanation:

It's simplest reaction is:

Pb + Cl2 → PbCl2

What is the area of the figure?

Answers

Answer:

58.5 ft²

Step-by-step explanation:

The figure is made up of a square, triangle and rectangle. Thus, the area of the figure is the sum of the areas of the square, triangle and rectangle.

Let's find the area of each!

Square

Area of square= side ×side

Area

= 3(3)

= 9 ft²

Triangle

Area of triangle= ½ ×base ×height

Base= 11 ft

Height= 3 ft

Area

= ½(11)(3)

= 16.5 ft²

Rectangle

Area of rectangle= length ×breadth

Area

= 3(11)

= 33 ft²

Area of figure

= 9 +16.5 +33

= [tex]\textcolor{red}{58.5 \: {\text{ft}} {}^{2} }[/tex]

Solve the two-step equation.

3
4
(x) − 1.72 = −6.82

1. The first step is to
✔ add 1.72
on both sides.
2. The second step is to
on both sides.


The solution is x =
.

Answers

Answer:

[tex]\boxed{\sf{x=-0.15}}[/tex]

Step-by-step explanation:

Isolate the term of x from one side of the equation.

34(x)-1.72=-6.82

Rewrite the problem down.

⇒ 34x-1.72=-6.82

First, add by 1.72 from both sides.

⇒ 34x-1.72+1.72=-6.82+1.72

Solve.

⇒ -6.82+1.72=-5.1

Rewrite the problem down.

⇒ 34x=-5.1

Divide by 34 from both sides.

⇒34x/34=-5.1/34

Solve.

Divide the numbers from left to right.

⇒ -5.1/34=-0.15

⇒ x=-0.15

Therefore, the solution is x=-0.15, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

Here is the correct answer is this

Step-by-step explanation:

Identify the percent rate of change in exponential function y=(0.9)

Answers

Answer:

90

Step-by-step explanation:

0.9 multiplied by 100 to turn it into a percentage is 90.

The answerrr isss 90

What are the possible transformations that could have been used to create the red figure from the blue figure ABCD?

Answers

Answer:

I believe you are correct in saying the option you are clicked on, B.

Step-by-step explanation:

it would make the most sense

I need help quick please

Answers

Answer:

A= 123º

B= 93º

Step-by-step explanation:

A is just a guess.

B is correct though, it is close to 90º but it is greater than 90º

Answer:

Final solution -

[tex]\dashrightarrow \angle \: A = 137\degree \\ \\ \dashrightarrow \angle \:B = 93\degree[/tex]

_____________________________

_____________________________

Additional information -

★ Angle sum property of triangle states that the sum of all the angles of a triangle equals 180°

★ Angle sum property of quad. ( quadrilateral , any four sided figure ) states that the sum of all the angles of a quadrilateral equals 360°

★ Linear pair of angles are formed when two lines intersect each other at a single point. n number of angles forming a linear pair always have their sum equalling 180°

_____________________________

_____________________________

hope helpful :D

The length of a rectangle is 3 m more than twice the width, and the area of the rectangle is 54 mº. Find the dimensions of the rectangle.

Answers

Answer:

The dimensions of rectangle are 12 m and 4.5 m

Step-by-step explanation:

Given that, The length of a rectangle is 3 m more than twice the width, and the area of the rectangle is 54 m²

Let's assume width of rectangle be x m and length be 3 + 2x m respectively. To find the dimensions of the rectangle we will use the formula of Perimeter of rectangle

[tex] \\ { \underline{ \boxed{ \pmb{ \sf{ \purple{Area _{(rectangle)} = Length × width}}}}}} \\ \\ [/tex]

Substituting values in above formula:

[tex] \\ \dashrightarrow \sf \: \: (3 + 2x)(x) = 54 \\[/tex]

[tex]\dashrightarrow \sf \: \: 3x + 2x^2 = 54 \\ [/tex]

[tex]\dashrightarrow \sf \: \: - 54 + 3x + 2x^2 = 0 \\ [/tex]

[tex]\dashrightarrow \sf \: \: 2x^2 + 3x - 54 = 0\\ [/tex]

[tex]\dashrightarrow \sf \: \: 2x^2 + 12x - 9x - 54 = 0\: [/tex]

[tex]\dashrightarrow \sf \: \: 2x(x + 6) -9(x + 6) = 0\\ [/tex]

[tex]\dashrightarrow \sf \: \: (2x -9)(x+6) = 0 \\ [/tex]

[tex]\sf{x=}{\sf{\dfrac{9}{2}}}{\sf{\: or\: -6}} [/tex]

[tex]\dashrightarrow \: \: { \underline{ \boxed{ \pmb{ \sf{\purple{ x = 4.5 }}}}}}[/tex]

Hence,

Length of rectangle = 3 + 2x = 3 + 2(4.5) = 12 mWidth of the rectangle = x = 4.5m

[tex] \\ { \underline{ \pmb{ \frak{ \therefore Length \: and \: width \: of \: the \: rectangle \: is \:12 \: m \: and \: 4.5 \: m}}}} \\ [/tex]

Answer:

The dimensions of rectangle are 12 m and 4.5 m

Step-by-step explanation:

Given :-

The length of a rectangle is 3 m more than twice the width the area of the rectangle is 54 m²

To find :-

Dimensions of rectangle

Solution:-

According to the question ,

Let the width of rectangle be x and length of rectangle be 2x+3 m

Area of rectangle :- L×B

L×B = 54m²

(2x+3) * x = 54m²

x = 4.5 m

By putting the value of x , we get

Length :- 2x+3 = 12 m

Width :- 4.5 m

Find the surface area of each prism. Round to the nearest tenth if necessary.

Answers

Answer:

Step-by-step explanation:

Since surface area is the total area from each side, we will take the area of 3 unique sides (ie. dimensions of A x B x C will give 3 unique surfaces of dimensions A x B, B x C and A x C) and multiply each one by 2 to get the area from its duplicate. This condenses to SA (Surface Area) = 2(AB) +2(BC) + 2(AC).

Substituting in our dimensions:

[tex]SA=2(8\frac{1}{4} * 6\frac{2}{3} )+2(8\frac{1}{4}*12)+2(6\frac{2}{3}*12)[/tex]

Evaluate: SA = 468 yd²

In a market research survey of 2518 motorists, 252 said that they made an obscene gesture in the previous month.



If one of the surveyed motorists is randomly selected, what is the probability that this motorist did not make an obscene gesture in the previous month?

Answers

Answer:

Probability is 89.99%

Step-by-step explanation:

divide 252 by 2518 and you get 10.01% but that represents the people who did make the gesture so instead you would minus 252 from 2518 and that would be 252 - 2518 = 2266 then you would divide 2266 by 2518 and you get 2266/2518 = 0.8999 which is equal to 89.99%

the median value for this data set is​

Answers

Answer:

275

Step-by-step explanation:

because it is in between 270 and 280

Your new computer cost $1500 but it depreciates in value by about 18% each year. About how long will it take before your computer is worth close to zero dollars, according to your equation? ​

Answers

Answer:

5.5 years

Step-by-step explanation:

100/18 = roughly 5.5 years (5.55555556 to be exact)

Hope this makes sense.

One of the legs of a right triangle measures 5 cm and the other leg measures 11 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer:

c = 12.1 cm

Step-by-step explanation:

For this question, use the Pythagorean theorem.

a^2 + b^2 = c^2

Where a and b are the triangle's legs, and c is the hypotenuse.

(It doesn't matter what values you use for each for a and b)

a = 5 cm

b = 11 cm

c = ?

5^2 + 11^2 = c^2

25 + 121 = c^2

146 = c^2

square root both sides

√146 = √c^2

c = 12.08304 cm

But we need to the neasrest tenth then....

c = 12.1 cm

solve ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]

thankyou ~​

Answers

Answer:

x = 3, 2

Explanation:

x² - 5(x) + 6 = 0

breakdown

x² - 3(x) - 2(x) + 6 = 0

takeout common terms

x(x - 3) - 2(x - 3) = 0

factor

(x-3) ( x-2) = 0

simplify

(x-3)=0, ( x-2) = 0

final answer

x = 3, 2

Help me out please, should be easy

Answers

Answer:

I'm pretty sure the points are plotted at (-1,-2) but I'm not exactly sure. Correct me if I'm wrong! :D

x y what is the y intercept of this table, please explain.
1 8
2 6
3 4
4 2

Answers

Step-by-step explanation:

The y-intercept of the function is: b=10

Step-by-step explanation:

Given the table

x                 y

1                 8

2                6

3                4

4                2

Taking any two points to find the slope

(1, 8)

(2, 6)

The slope between (1, 8) and (2, 6) is:

We know that the slope-intercept form of the line equation is

where m is the slope and b is the y-intercept.

Substituting m=-2 and any point i.e. (1, 8) in the slope-intercept form of the line equation to find the y-intercept (b).

8 = -2(1) + b

8 = -2 + b

b = 8+2

b = 10

Thus, the y-intercept of the function is: b=10

1. Which of the following is a true statement?
a. A perfect square is a number whose
square root is, an even number.
b. The inverse of squaring a number is to
divide the number by 2.
C. To square a number, multiply the number by
itself.
d. All of the above.

Thank you so much

Answers

Answer:

C. To square a number, multiply the number by itself.

Answer:

[C] To square a number, multiply the number by itself.

Step-by-step explanation:

To square a number you multiply it by itself.

Let's go through all answer:

[A] A perfect square is a number whose square root is, an even number.

Explain for [A]:

It incorrect because perfect squares can be odd or even

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[B] The inverse of squaring a number is to divide the number by 2.

Explain for [B]:

It incorrect because square roots are made by multiplying the number to itself.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[D] All of the above

Explain for [D]

Know that [A] and [B] is wrong you can know that [D] is 100% wrong.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Lenvy~

Which is the correct graph of y=2/x^2-4 ?

Answers

The correct graph would be the first one

Lin got a $50 gift card to an online music store. She uses the gift card to buy an album
for $9.99. She also wants to use the gift card to buy some songs. Each song costs
$1.29.
Which of these inequalities describes this situation, where n is the number of songs Lin
wants to buy?
a) 9.99 + 1.29n > 50
b) 9.99 + 1.29n < 50
c) 9.99 - 1.29n > 50
d) 9.99 - 1.29n < 50

Answers

Answer:

b i think because 50 minus 9.99 then 1.29 will be less than cuz it cant go over

Please help me with this!!

Answers

Answer:

A, B, D, F

Step-by-step explanation:

Given expression: [tex]8^{\frac23}[/tex]

Apply exponent rule [tex]a^{bc}=(a^b)^c[/tex]

[tex]\implies 8^{\frac23}=(8^2)^{\frac13}[/tex]

Apply exponent rule [tex]a^{\frac{1}{n}}=\sqrt[n]{a}[/tex]

[tex]\implies (8^2)^{\frac13}=\sqrt[3]{8^2}[/tex]

Therefore, option A

Apply exponent rule [tex]a^{bc}=(a^b)^c[/tex]

[tex]\implies 8^{\frac23}=(8^{\frac13})^2[/tex]

Apply exponent rule [tex]a^{\frac{1}{n}}=\sqrt[n]{a}[/tex]

[tex]\implies (8^{\frac13})^2=(\sqrt[3]{8})^2[/tex]

Therefore, option B

Apply exponent rule [tex]a^{bc}=(a^b)^c[/tex]

[tex]\implies 8^{\frac23}=(8^{\frac13})^2[/tex]

As [tex]8^{\frac13}=2[/tex]

[tex]\implies (8^{\frac13})^2=2^2[/tex]

Therefore, option D

Apply exponent rule [tex]a^{bc}=(a^b)^c[/tex]

[tex]\implies 8^{\frac23}=(8^{\frac13})^2[/tex]

As [tex]8^{\frac13}=2[/tex]

[tex]\implies (8^{\frac13})^2=2^2[/tex]

[tex]\implies 2^2=4[/tex]

Therefore, option F

Find the mean of the data.

8,14,22,7,2,11,25,7,5,9

Answers

Answer:

11

Step-by-step explanation:

Given:

8,14,22,7,2,11,25,7,5,9

Solve:

Put in order:

2, 5, 7, 7, 8, 9, 11, 14, 22, 25

Note:

Mean-

Add up all data values to get the sumCount the number of values in your data setDivide the sum by the count

2+ 5+7+7+8+9+11+ 14+22+25=110

110/10 = 11

Hence, the mean of the data is 11.

[RevyBreeze]

Answer:

The mean of the data given is 11

What is mean?
The mean is the arithmetic average of a set of given numbers. The median is the middle score in a set of given numbers. The mode is the most frequently occurring score in a set of given numbers.


Step-by-step explanation:

Have a great rest of your day
#TheWizzer

(pls give the person who answered before me braineist)

Need help with these geometric questions

Answers

Check the picture below.

a)

notice, since lines KP and NL are parallel, they make up the same angle in purple when they hit line MK, and both triangles share the green angle at M.

b)

notice, LP = LK = 14, and in an isosceles twin sides stemming from a vertex make twin angles.

Which equation represents the sentence, "The sum of three times p and twenty-five is q"?

A. (3 + 25) = q
B. 3(p + 25) = q
C. 3p – 25 = q
D. (3p + 25) = q

Answers

It is D because we said sum of three times p and twenty five is q it means p is multiplied first with p before adding 25

Answer:

D. (3p + 25) = q

Help help ASAP math math

Answers

Answer:

-1/1

Step-by-step explanation:

=64/-8

over

36-30+2

= -8

over

8

= -1

over

1

Answer:

[tex] \rightarrow - 1[/tex]

Step-by-step explanation:

[tex] \rightarrow \frac{ {4}^{3} }{ \frac{ - 12 + {2}^{2} }{(2 \times 3) {}^{2} + ( - 5 \times 2 \times 3) + 2 }} \\ [/tex]

[tex] \rightarrow \frac{ {4}^{3} }{ \frac{ - 12 + {2}^{2} }{ {6}^{2} + ( - 30) + 2 }} \\ [/tex]

[tex] \rightarrow \frac{ 64 }{ \frac{ - 12 + 4 }{ 36 + ( - 30) + 2 }} \\ [/tex]

[tex] \rightarrow \frac{ 64 }{ \frac{ - 8 }{ 8 }} \\ [/tex]

[tex] \rightarrow - \: \frac{ 64 }{ \frac{ 8 }{ 8 }} \\ [/tex]

[tex] \rightarrow - \frac{ 8 }{ 8 } \\[/tex]

[tex] \rightarrow \: - 1[/tex]

each of two computers can process bills at 160/min a newer model can process bills at 200/min after the first two computers have worked 1.5 min they are joined by the third computer how long will it take from the time the first two computers are turned on to process 1780?

Answers

Based on the rate at which all three computers process bills, the time taken for the computers to process 1,780 bills is 4 minutes.

What is the time taken to process 1,780 bills?

First find the number of bills left when the third computer joined:

= 1,780 - (160 x 1.5 mins) - (160 x 1.5 mins)

= 1,300

Then the average speed of all three computers is:

= 160 + 160 + 200

= 520 bills per minute

The time taken to finish up the other bills would be:

= 1,300 / 520

= 2.5 minutes

Add this to the minutes already elapsed before the third computer was used:

= 2.5 + 1.5

= 4 minutes

Find out more on rate of work at https://brainly.com/question/24482367.

can someone please tell me the answer to this I can’t figure it out!!

Answers

Answer:

the answer is (0, 0) trust me

HELPPPPP PLEASE I DONT UNDERSTANDDDD

Answers

Answer:

Step-by-step explanation:

Solve for the equation equal to y

[tex]3x+4y=12\\4y=-3x+12\\y=\frac{-3}{4}+\frac{12}{4}[/tex]

The slope here is -3/4. The slope of a line perpendicular to the original has a negated and inverted slope. Therefore the slope is 4/3

Guys please help! i will mark brainliest to the right answers

Note: in order for me to mark a brainliest 2 people need to answer

Answers

Answer: first one is y=9x+5

second on is 4x-3y=-2

Step-by-step explanation:

Help please in picture below

Answers

Answer:

vertex is a point where two sides meet

sin^2(theta)(1+cot^2(theta))-1=0

Answers

Hope it helpssss….best of luck

something times 5 = 1?

Answers

the answer is 1/5 because if you do that times 5 than the answer is 1

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

You can think of this "something" as a variable, which is x

So:

5x = 1

Divide both side by 5:

x = 1/5

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