What does paper folding have to do with exponents?

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

If you take a whole sheet of paper and fold it in half, for instance, you will have 2 rectangles. If you fold it in half again, you will get 4 rectangles, and so on. Each time you fold by one-half, you keep doubling the amount of rectangles.


Related Questions

When Camden runs the 400 meter dash, his finishing times are normally distributed with a mean of 75 seconds and a standard deviation of 3 seconds. What percentage of races will his finishing time be between 69 and 75 seconds, to the nearest tenth?

Answers

Answer

60%

Step-by-step explanation:

Im not certain but i think its 60%,because the standard deviation is 6 and that as a percent is 60%

Badia is the apprentice at the local screws and nails factory. The other day she made some six - inch nails. Charli who works next to her made one and half times as many as Badia, but Siva made twice as many as Charli. They all made a total of 110 six - inch nails.
45. How many did Badia make?
46. How many did Charli make?
47. How many did Siva make?

Answers

Answer:

   45. 20

   46. 30

   47. 60

Step-by-step explanation:

Let :

Badia = xCharli = 1 1/2x = 1.5xSiva = 2(1.5)x = 3x

Solving

x + 1.5x + 3x = 1105.5x = 110x = 20

Solution

Badia = 20Charli = 30Siva = 60

Answer:

Badia made 20 nails

Charli made 30 nails

Siva made 60 nails

Step-by-step explanation:

Let b = number of nails Badia made

Let c = number of nails Charli made

Let s = number of nails Siva made

Given:

Charli made one and half times as many as Badia

⇒ Equation 1:    c = 1.5b

Given:

Siva made twice as many as Charli

⇒ Equation 2:    s = 2c

Given:

They all made a total of 110 nails

⇒ Equation 3:    b + c + s = 110

Substitute Equation 1 into Equation 2:

⇒ s = 2(1.5b) = 3b

Substitute s = 3b and Equation 1 into Equation 3 and solve for b:

⇒ b + c + s = 110

⇒ b + 1.5b + 3b = 110

⇒ 5.5b = 110

⇒ b = 20

Substitute found value of b into Equation 1 and solve for c:

⇒ c = 1.5b

⇒ c = 1.5(20)

⇒ c = 30

Substitute found value of c into Equation 2 and solve for s:

⇒ s = 2c

⇒ s = 2(30)

⇒ s = 60

Therefore:

Badia made 20 nailsCharli made 30 nailsSiva made 60 nails

What is the median?
767
-765
767
769
769
-770
-767
768
sumbit

Answers

Answer:

767

Step-by-step explanation:

The graph shows a player’s monthly home run total in two seasons.

a. Find the standard deviation of the scores of the monthly home run totals in the player’s rookie season and interpret the results. Round to the nearest hundredth.

The standard deviation is about __. The typical number of home runs differs from the mean by about __ home runs.

b. Find the standard deviation of the scores of the monthly home run totals in this season and interpret the results. Round to the nearest hundredth.
The standard deviation is about __
The typical number of home runs differs from the mean by about __ home runs.

Answers

a) standard deviation of the scores of the monthly home run totals in the player’s rookie season will be 1.29

b) The standard deviation of the scores of the monthly home run totals in this season will be 2.738

What is standard deviation?

Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.

a)The standard deviation of the scores of the monthly home run totals in the player’s rookie season:-

The data from the graph will be

1,0,6,2,0,2

Standard deviation is calculated as:-

[tex]\sigma = \dfrac{\sqrt{\sum(x-\mu)^2}}{N}}[/tex]

[tex]\mu = \dfrac{1+0+6+2+0+3}{6}=2[/tex]

Putting the values we get

[tex]\sigma = \dfrac{\sqrt{(1-2)^2+(0-2)^2+(2-2)^2+(0-2)^2+(3-2)^2}}{6}}=1.29[/tex]

Hence standard deviation is 1.29

b)The standard deviation of the scores of the monthly home run totals in this season

The data from the graph will be

4,6,4,8,7,13

Standard deviation is calculated as:-

[tex]\sigma = \dfrac{\sqrt{\sum(x-\mu)^2}}{N}}[/tex]

[tex]\mu = \dfrac{4+6+4+8+7+13}{6}=7[/tex]

Putting the values we get

[tex]\sigma = \dfrac{\sqrt{(4-7)^2+(6-7)^2+(4-7)^2+(8-7)^2+(7-7)^2+(7-13)^2}}{6}}=2.738[/tex]

Hence standard deviation is 2.738

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Simplify the expression.

Answers

Answer:

D

Step-by-step explanation:

Given :

[tex]\sqrt[5]{224x^{11}y^{8} }[/tex]

Solving :

The maximum number of x we can bring out is 11/5 = 2The maximum number of y we can bring out is 8/5 = 1The maximum number of 2 we can bring out : 224 = 2⁵ x 7 = 5

Hence :

[tex]\sqrt[5]{224x^{11}y^{8} }[/tex]2x²y [tex]\sqrt[5]{7xy^{3} }[/tex]D

Answer:

D. [tex]\huge 2x^2y\sqrt[5]{7xy^3}[/tex]

Step-by-step explanation:

[tex]\huge\sqrt[5]{224.x^{11}.y^8}[/tex] (Given)

[tex]=\huge\sqrt[5]{2^5.7.x^{10+1}.y^{5+3}}[/tex]

[tex]=\huge\sqrt[5]{2^5.7.x^{10}.x.y^{5}.y^3}[/tex]

[tex]=\huge 2.x^2.y\sqrt[5]{7.x.y^3}[/tex]

[tex]=\huge 2x^2y\sqrt[5]{7xy^3}[/tex]

A coin is flipped 150 times the results of the experiment are shown below
Heads 84
Tails 66
Witch of the fallowing statements BEST describes the experimental probability of getting heads

Answers

Answer:

See below

Step-by-step explanation:

66 out of (84+66)   = 66/150 = 11/25 experimental chance of heads

   this is 6%  LOWER than the theoretical chance of getting heads (which is 1/2).

Create and interpret tables.
ASSIGNMENT
y.=4x
Y2=422
Y3=4*
Complete the table for each function. Then
answer the questions that follow.
a=]; b=1; CE; d =
d=O
e=;f=
=
f=9=
DONE
0
0
0
1
1
4
a
b
2
С
16
d
3
e
f
g

Answers

Answer:

a = 16    b = 4    c = 8     d = 16

e = 12    f = 36   g = 64

Step-by-step explanation:

a.

Equation =   [tex]y_x = 4x^{2} \\x = 1\\y_1 = 4(1)^{2} \\y_1 = 4^{2} \\y_1 = 16 \\[/tex]

b.

Equation:      [tex]y_x = 4^{x} \\x = 1\\y_1 = 4^{1}\\y_1 = 4[/tex]

c.

Equation:      [tex]y_x = 4x\\x = 2\\y_2 = 4(2)\\y_2 = 8[/tex]

d.

Equation:      [tex]y_x = 4^{x}\\x = 2\\y_2 = 4^{2}\\y_2 = 16[/tex]

e.

Equation:      [tex]y_x = 4x\\x = 3\\y_3 = 4(3)\\y_3 = 12[/tex]

f.

Equation:      [tex]y_x = 4x^{2} \\x = 3\\y_3 = 4(3)^{2} \\y_3 = 4(9)\\y_3 = 36[/tex]

g.

Equation:      [tex]y_x = 4^{x}\\x = 3\\y_3 = 4^{3}\\y_3 = 64[/tex]

The missing values for the function are

a= 4

b=4

c=8

d=16

e=12

f= 36

g=64

What is Function?

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable.

We have the table for three function.

Now, to find the following we have find the rate of change.

Function 1 : y= 4x

At x = 2 ; y= 8

At x= 3; y= 12

Function 2: y= 4x²

At x =1 ; y= 4

At x= 3; y= 36

Function 3 : y= [tex]4^x[/tex]

At x =1 ; y= 4

At x = 2 ; y= 16

At x= 3; y= 64

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find the value of each of the lettered angles in the diagram below​

Answers

Answer:

Angle a = 114 Angle b = 114 Angle c = 66 Angle d = 66

Step-by-step explanation:

180 - 48 = 132

132/2= 66

180 - 66 = 114

Mathew sells half the books in his library. After
he does this, he buys 6 more books. Now he has
102 books. How many books did he have to start
with?

Answers

198?? i multiplied 102 by 2 and subtracted 6 to get tht answer.
You’d get 192 because first, you would subtract 6 from 102.

102 - 6 = 96

Then, multiply 96 by 2 to get 192, the original amount Matthew had.

(Need help fast due today and will fail if not done today!) Select True or False for each statement about the function y = 8x2 − 4.

Answers

Answer:

1. False

2. True

3. False (Not sure about this one)

4. True

5. False

what is 1x3 and 1x8 help please jucie ​

Answers

Answer:

1×3=3 and 1×8=8 this is the answe right? and if you add these it will come 11

Answer:

3 and 8

Step-by-step explanation:

I need help with this

Answers

Answer:

a. 0.444444

b. 0.87

Step-by-step explanation:

a. (-2).(-4.5)

= -2 / -4.5

= 0.44444

u will do the same to the second question

(20POINTS) I WILL MARK BRAINLIEST IMAGE IS BELOW

Answers

Answer:

10.6

Step-by-step explanation:

It forms a right angle traingle so use

16^2-12^2=112

and

root of 112=10.5830052443

Answer:

10.6cm  is the radius

Step-by-step explanation:

1)First You square the lateral height (12cm)

                   =144

2)Then you square the height (16cm)

                   =256

3)Then you subtract height squared from lateral height squared

                   256-144=112

4)Then Find the square root from the result of step 3

                   112 squared is 10.58 (round to the nearest tenth)

                                            10.6 is your answer!

Hope this helps BRAINLIEST PLEASE

The number is between 500 and 510 it is an odd number its one place has the smallest 1 dugit number

Answers

Answer:

501

Step-by-step explanation:

Odd numbers between 500 and 510 are 501,503,505,507,509. Out of them the number has its one place the smallest 1 digit number is 501

Point P has the coordinates (−2,−4). Point P is dilated with a center at the origin and a scale factor of 3 to create point P'. What are the coordinates of point P'?

A) (6,12)
B) (1,−1)
C) (−2/3,−4/3)
D) (−6,−12)

Answers

Dilation centred at origin

So new coordinates are same like previous

Now scale factor is 3

So P':-

3(-2,-4)(-6,-12)

Option D

Answer:

D)   (−6, −12)

Step-by-step explanation:

Dilation:  A type of transformation that makes the pre-image larger or smaller without changing its shape.

Center of a dilation:  a fixed point about which all points are dilated.

When the center of dilation is the origin (0, 0), simply multiply the coordinates of the points of the pre-image by the scale factor to determine the points of the image after dilation.

Given:

Point P = (-2, -4)Center of dilation = (0, 0)Scale factor = 3

Therefore:

⇒ P' = (-2 × 3, -4 × 3)

⇒ P' = (-6, -12)


Determine the following probabilites based on a standard deck of cards

1) Pblack or heart)=
2) Pired or 10) =
3) P(Q or 6) =
4) P(5 or club) =
5) P(picture card or 4) =
6) P(black 9 or red) =

There are 52 cards total.
Hearts and diamonds are red.
Clubs and spades are black
LQ and K are called picture cards.

Answers

Answer & Step-by-step explanations:

I assume they want probability as a decimal as opposed to a fraction. I will do two questions for you, apply the same logic to all the rest.


P(Black or heart):
There are 26 black cards in a deck, and 13 (red) hearts.

26 + 13 out of 52 cards.

39 / 52 as a decimal is 0.75
P(Black or heart) = 0.75 or 75%
If wanted as a fraction, simplify your fraction down

39/52 has a common factor of 13, divide both numbers by 13

P(Black or heart) = 3/4


P(Red or 10):
There are 26 red cards and four 10's in a deck. Two of these 10's are red, so we will not double count them.

26 + 2 out of 52 cards.
28 / 52 as a decimal is about 0.54 or 54%

P(Red or 10) = 0.54 or 54%
If wanted as a fraction, simplify your fraction down

28/52 has a common factor of 4, divide both numbers by 4

P(Red or 10) = 7/13

(50 points) The points show the locations of different stores in a mall. Each unit represents 1 meter

Answers

Answer:

5.1m

Step-by-step explanation:

Distance=[tex]\sqrt{5^{2} +1^{2} }[/tex]

=5.1

Answer:

5.1 meters

Step-by-step explanation:

To Know :

Coordinates of Clothing Store = (5, -6)Coordinates of Music Store = (0, -5)

Applying Distance Formula :

Distance = √(0 - 5)² + (-5 + 6)²Distance = √(-5)² + (1)²Distance = √25 + 1Distance = √26 metersDistance = 5.1 meters

Compute a value for x that satisfies the equation below.

-x + 5 = 1
A. x=4
B. x=-1
C. x = 0
D. X= 4

Answers

Step-by-step explanation:

-4+5

=1

therefore the answer is A.

Answer:

D) x=4

Step-by-step explanation:

-x+5=1

-x=1-5

-x=-4

x=4

- What is h(-8) for h(x) =
4
F.
-40
G. -72
H. -52
J. -60
-7x?

Answers

Answer:

16

Step-by-step explanation:

I don’t understand the layout of the question please re lay it out and re ask the question

The coordinates of the vertices of quadrilateral HIJK are H (-2, -1), I (2, 1), J (5, 0), and K (-1, -3). Isabella states that quadrilateral HIJK is a parallelogram. Is Isabella correct? Support your answer and show all work.

Answers

Answer: No

Step-by-step explanation:

A hot air balloon holds 1,592 cubic meters of helium. the density of helium is 0.1785 kilograms per cubic meter. how many kilograms of helium does the balloon contain, rounded to the nearest tenth of a kilogram? 432.3 kg 284.2 kg 2,043.7 kg 5,435.3 kg

Answers

By taking the product between density and volume we will see that the mass is 284.2 kg

How to find the mass of helium?

Remember that density is the quotient between mass and volume, then:

mass = density*volume.

Here we know that:

volume = 1,592 m³density = 0.1785 kg/m³

Taking the product of these two we get:

mass = (1,592 m³)*(0.1785 kg/m³) = 284.2 kg

So the correct option is the second one.

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Answer:

284.2 kg my good sir

Step-by-step explanation:

Big brain

A rectangle has a length of 2x+1 and a width of 3x-2. What is the perimeter of the rectangle?

Answers

Answer:

The opposite sides of a rectangle are equal in length ⇒ perimeter = 2(3x +1) +2(x + 1) Also the perimeter = 28.

Answer:

P=2(L+W)

Step-by-step explanation:

p=2(L+W)

    2(2x+1)+2(3x-2)

    4x+2+6x-4

    10x-2


The width of a rectangle is 2x + 2. The length of a rectangle is 3x + 3. What is
the area of the rectangle?

Answers

(2x+2)(3x+3)

expand with rainbow method

6x^2 + 6 + 6x + 6x = 6x^2 + 12x + 6
6(x^2 + 1 + 2x) - answer



here is another one for you all

Answers

Answer:

0.0000045

[tex]10^5 = 10 * 10 * 10 * 10 * 10 = 100,000\\\\0.45 / 100,000 = 0.0000045[/tex]

When it comes to tiny floating numbers, that means multiply a number by itself the number of times the floating exponent says to.

Answer:

[tex]0.0000045[/tex]

Step-by-step explanation:

Rewrite it as a fraction:

[tex] \frac{0.45}{ {10}^{5} } [/tex]

Calculate it:

[tex] \frac{0.45}{100000} [/tex]

Rewrite the fraction:

[tex] \frac{45}{10000000} [/tex]

Simply:

[tex] \frac{9}{2000000} [/tex]

Turn it into a decimal:

[tex]0.0000045[/tex]

If the probability of a defect with the brakes or the chain is 6 percent, what is the probability of a chain defect?

1.5 percent
2 percent
2.5 percent
3 percent

Answers

The Probability of a chain defect will be 3%.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Let B  be the event that brake defect .

Let C be the event that chain defect.

Since we have given that

Probability of a brake defect P(B) = 4%

Probability of both chain and brake defect P(B∩C) = 1%

Probability of either brake or chain defect P(E∪C) = 6%

So, we need to find the probability of a chain defect.

As we know the rule of probability.

P ( B U C )  =  P(A) + P (B) - P ( B [tex]\cap[/tex] C)

6   =   4   +  P (C)  - 1

P (C) = 3

Hence, Probability of a chain defect is 3%.

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7 mi.
7 mi.
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
4)
C =
miles

Answers

The Pythagorean theorem says that
a^2 + b^2 = c^2
a and b are both legs of the right triangle and c is the hypotenuse.

The legs each measure 7 miles so…

7^2 + 7^2 = c^2

49 + 49 = c^2

98 = c^2

You then have to take the square root of 98 as c is still squared.

The square root of 98 is about 9.9

c is about equal to 9.9

I need help! Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

hope this will help you (•‿•)

Step-by-step explanation:

[tex]for \: 1st \: qn \: \\ let \: the \: angle \: be \gamma \\ \cos( \beta ) = \frac{b}{p} \\ \cos( \beta ) = \frac{16}{34} \\ \beta = \cos {}^{ - 1} ( { 0.470}^{ } ) \\ \beta = 61.965 \\ for \: 2nd \: qn \\ let \: the \: angle \: be \: \alpha \\ \tan( \alpha ) = \frac{p}{b} \\ \tan( \alpha ) = \frac{20}{15} \\ \alpha = \tan {}^{ - 1} (1.33) \\ \alpha = 53.061[/tex]

Find length AC. Give answer to 2 decimal places.​

Answers

Answer:

6.62cm

Step-by-step explanation:

tan = opp/adj

opp = adj(tan)

opp = 13(tan(27))

opp = 6.62cm

Given the following absolute value equation, what would the coordinates of the vertex be?
​ y= -3 |x-5| +2
A (−5,2)(-5,2)(−5,2)
B (−3,−5)(-3,-5)(−3,−5)
C 5,2)(5,2)(5,2)
D (2,−5)(2,-5)(2,−5)

Answers

Answer:

  C.  (5,2)

Step-by-step explanation:

For parent function f(x) with vertex at (0, 0), translating it horizontally by "h" and vertically by "k" makes it look like

  f(x -h) +k

and the vertex moves to (h, k).

__

Here, the parent function |x| has its vertex at (0, 0). Writing it as ...

  -3|x -5| +2

moves its vertex to (h, k) = (5, 2).

_____

Additional comment

The factor -3 serves to reflect the graph over the x-axis and expand it vertically by a factor of 3. It has no effect on the translation of the vertex.

solve the system of equations below *urgent*
7x+6y=-10
-2x+y=11
F. (-4,3)
G.(-5,1)
H.(7,9)
I. no solution

Answers

(-4,3)

7(-4)= -28 6(3)= 18
-28+18=-10

-2(-4)= 8
8+3=11
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