A total of n bar magnets are placed end to end in a line with random independent orientations. Adjacent like poles repel while ends with opposite polarities join to form blocks. Let X be the number of blocks of joined magnets. Find E(X) and Var(X).

Answers

Answer 1

Answer:

E(x)  [tex]= \frac{n+1}{2}[/tex]

Var(x) [tex]= \frac{1}{4} [ n - 1 ][/tex]

Step-by-step explanation:

Hint x = 1 + x1 + ......... Xn-1

[tex]X_{i} = \left \{ {{1} if the ith adjacent pair of magnets repel each other \atop {0} if ith adjacent pair of magnets join} \right.[/tex]

attached below is the detailed solutioN

usually like poles of magnets repel each other and unlike poles of magnets attract each other forming a block

A Total Of N Bar Magnets Are Placed End To End In A Line With Random Independent Orientations. Adjacent

Related Questions

“Type ‘equal, supplementary, complementary, or vertical in the space provided’”

Answers

Answer:

Supplementary

Step-by-step explanation:

When the sum of 2 angles equal 180°, they are called supplementary angles. And they also form a straight line together.

<AOB (40°) and <BOC (140°) are not equal angles.

<AOB (40°) and <BOC (140°) are not complementary angles. Complementary angles add up to equal 90°.

<AOB (40°) and <BOC (140°) are not vertical angles. Vertical angles are opposite angles formed when two lines intersect.

<AOB (40°) and <BOC (140°) are supplementary angles. They add up to equal 180°.

Find y. A. √22 B. 8 C. √42 D. 4

Answers

Answer:

[tex]\Large \boxed{\mathrm{D. \ 4}}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

We can use trigonometric functions to solve the problem.

tan θ = opp/adj

tan 30 = y/(4√3)

y = 4√3 tan 30

y = 4

When conducting a residual analysis, which plot would you look at to determine if the equal variance assumption is satisfied?

a. Scatter plot of Yhat vs. QN X
b. Scatter Plot of Residuals vs QN X
c. Scatter Plot of Residuals vs Yhat
d. Stem-and-Leaf Plot of the Zresiduals

Answers

Answer:

C.Scatter Plot of Residuals vs Yhat

Step-by-step explanation:

Lennox owns a big apple orchard. She ships her apples to various markets using a fleet of trucks. Every week, each truck goes on 3 trips, and for each trip Lennox gets 300 dollars. On a single trip, a truck delivers 50 packs, and each pack contains 12 kilograms of apples. Overall, Lennox sells 4500 dollars worth of apples in a week. How much does Lennox get for a single kilogram of apples?

Answers

Answer:

  $0.50

Step-by-step explanation:

Each trip transports 50 packs at 12 kg each, for a total of 600 kg. That trip nets $300 in income.

Lennox gets paid ($300)/(600 kg) = $0.50/kg, or 50¢ for 1 kg of apples

Answer:5 trucks

Step-by-step explanation: in kahn it’s 4500 divided by 900 because she makes 300 a trip which makes 900$ a truck

Determine what type of decimal each is.
8.54

Answers

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

[tex]8.54 \div 100 = 0.0854[/tex]

(what do you mean by Determine what type of decimal each is: 8.54 because there is only one decimal there )

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

The length of a rectangle is a inches. Its width is 5 inches less than the length. Find the area and the perimeter of the rectangle.

Answers

Answer:

[tex]Area = 5a - a^2[/tex] [tex]inches\²[/tex]

[tex]Perimeter = 10\ inches[/tex]

Step-by-step explanation:

Given

Length = a

Width = 5 - a

Required

Determine the Area and Perimeter;

Calculating Area

Area is calculated as thus;

[tex]Area = Length * Width[/tex]

Substitute values for Length and Width

[tex]Area = a * 5 - a[/tex]

[tex]Area = a * (5 - a)[/tex]

Open Bracket

[tex]Area = 5a - a^2[/tex]

Calculating Perimeter

Perimeter is calculated as thus;

[tex]Perimeter = 2 (Length + Width)[/tex]

Substitute values for Length and Width

[tex]Perimeter = 2 (a + 5 - a)[/tex]

Collect Like Terms

[tex]Perimeter = 2 (5 + a- a)[/tex]

[tex]Perimeter = 2 (5)[/tex]

Open Bracket

[tex]Perimeter = 10\ inches[/tex]

What kinds of people actually read printed information on the packaging before purchasing a product? As part of a larger study on the influence of product packaging on purchase decisions, a survey of 250 citizens of Sarajevo asked if they observed printed information before purchasing a product (Poturak, 2014). Assume that the sample was a simple random one.

Answers

Complete  Question

The complete question is shown on the first uploaded image

Answer:

[tex]X = 1.2857[/tex]

Step-by-step explanation:

Generally from the table the contribution to the chi-square statistic of the number of individuals in the survey aged 20 - 22 who strongly disagreed about whether they observe packing information before purchasing items is mathematically represented as

            [tex]X = \frac{(10 - 7)^2 }{7}[/tex]

            [tex]X = 1.2857[/tex]

Helppp needed ASAP!!!!

Answers

Answer:

The two missing sides are : 79.54m and 58.62m

Step-by-step explanation:

first we look for the missing angle in the triangle

sum of angle in a triangle = 180°let make the missing angle be A 180 = A + 25 + 35180 = A + 60A = 180 - 60A = 120°

so now we use sine rules:

a/(sin A) = b/(sin B) = c/(sin C)

Let us make:

The side facing 35° be called bThe side facing 25° be called cThe side facing 120° be called a

so :

120/(sin 120°) = b/(sin 35°)120/(0.866) = b/0.574138.57 = b/0.574b = 138.57 x 0.57479.54m

so the side facing 35° = 79.54m

b/(sin B) = c/(sin C)79.54/(sin 35) = c/(sin 25)79.54/ (0.574) = c/(0.423)138.57 = c/(0.423)c = 138.57 x 0.423c = 58.62m

To find the area of this triangle

Assume that​ women's heights are normally distributed with a mean given by mu = 64.3 inches​, and a standard deviation given by sigma= 2.2 inches.
A) If a woman is randomly selected, find the probability that her height is less than 65 inches.
B) If 34 women are randomly selected, find the probability that they have a mean height less than 65 inches.

Answers

Answer:69

Step-by-step explanation:

here is my question hope this works now

Answers

Answer:

[tex]\boxed{x=1}[/tex] and [tex]\boxed{x=7}[/tex]

Step-by-step explanation:

This quadratic is already factored down to its factors (x - 1) and (x - 7).

Set these equal to zero and solve for x by adding 1 or 7 to both sides of the equation.

[tex]x-1=0\\\\\boxed{x=1}[/tex]

[tex]x-7=0\\\\\boxed{x=7}[/tex]

what does the inverse of f(x)=2x-3 looks like on a graph ​

Answers

Step-by-step explanation:

To find this inverse of a graph you have to multiply the current equation by -1.

-1(2x-3)

f(x)=-2x+3.

This graph will start at the point (0,3). Then according to the slope the rest of the points will go down two than right one. So the next two point will be (1,1) and (2,-1).


Write the expression
using only positive exponents.
-3/x-4

Answers

the correct answer is 12

Equivalent means having ___ ___

I need two answer omg pls helppp ;-;

Answers

Answer:

equal value and function

Step-by-step explanation:

How do you write 30,8608

Answers

Answer:

it should be 308,608. the comma is after every three in this scenario.

Step-by-step explanation:

30,8608 is this supposed to be a joke?

Is 55/22 a rational

Answers

Answer:

The fraction [tex]\displaystyle \frac{55}{22}[/tex] is indeed a rational number.

Step-by-step explanation:

A number [tex]x[/tex] is rational if and only if there exist two integers [tex]p[/tex] and [tex]q[/tex] (where [tex]q \ne 0[/tex]) such that [tex]x = \displaystyle \frac{p}{q}[/tex].

[tex]\displaystyle \frac{55}{22}[/tex], the number in question here is already written in the form of a fraction. The two integers [tex]p = 55[/tex] and [tex]q = 22[/tex] ([tex]q \ne 0[/tex]) meet the requirement that [tex]\displaystyle \frac{55}{22} = \frac{p}{q}[/tex]. Therefore, [tex]\displaystyle \frac{55}{22}\![/tex] is indeed a rational number.

Side note: the [tex]p[/tex] and [tex]q[/tex] here ([tex]q \ne 0[/tex]) don't have to be unique. For example:

because [tex]\displaystyle \frac{55}{22} = \frac{5 \times 11 }{2 \times 11} = \fraac{5}{2}[/tex], both of the following pairs could satisfy [tex]\displaystyle \frac{55}{22} = \frac{p}{q}[/tex]:

[tex]p = 55[/tex] and [tex]q = 22[/tex];[tex]p = 5[/tex] and [tex]q = 2[/tex].

A study collects samples of water from the tap in Vacaville and from bottled water available from the Nugget stores and samples their pH levels. The results are in the table below. I find a bottle marked #13 but cannot read the label for the type of water. He measures the pH and gets 6.32. What type of water do you think it is?

Answers

Answer:

see below

Step-by-step explanation:

the observed ph is 6.32

the mean pH of Tap water is shown below

                       sum of observations

Mean (Tap) = -----------------------------------

                       number of observations

 (7.24 +7.05 +7.07 +6.6 +7.28 +7.29 +7.05 +6.7 +7.16 +7.07 +7.12 +6.56

= ---------------------------------------------------------------------------------------------------------

                                                      12

= 7.016

then mean pH of bottle water is shown below

                            sum of observations

Mean (Bottles) = -----------------------------------

                             number of observations

 (5.35 + 5.29 + 5.46 + 5.4 + 5.95 + 6.22 + 5.43 +5.48 +6.06 +5.33 +5.46 +5.41)

= --------------------------------------------------------------------------------------------------------------

                                                      12

= 5.57

theoretically.. the higher the pH values should be between 0 to 14.

based from the above results, the mean tap water has an average of 7.016 and by looking at the pH chart... its a neutral or pure water.

while the average pH Bottles has 5.57, this means its more acidic water, or by looking at the pH chart its an acid rain water.

a 6.32pH is below pure water, based on the chart looks like a urine/saliva.

Ana drinks chocolate milk out of glasses that each holds 1/8 fraction of a liter. She has 7/10 fraction of a liter of chocolate milk in her refrigerator. How many glasses of chocolate milk can she pour?

Answers

Answer:

6 glasses

I hope this helps!

Answer:

28/5

Step-by-step explanation:

looked up on khan

Please answer this correctly without making mistakes

Answers

Answer:

7/10 mi

Step-by-step explanation:

The total distance is 3 miles = 30/10 miles.

The other distances added gives 7/10+7/10+9/10 = 23/10

Therefore the last hop from Kingwood to Silvergrove is 30/10 - 23/10 = 7/10

what is 12x^3-9x^2-4x+3 in factored form?

Answers

Answer: (3x^2-1)(4x-3)

============================

Work Shown:

Use the factor by grouping method

12x^3-9x^2-4x+3

(12x^3-9x^2)+(-4x+3)

3x^2(4x-3)-1(4x-3)

(3x^2-1)(4x-3)

Try to get to every number from 1 to 10 using four 4's and any number of arithmetic operations (+, −, ×, ÷). You may also you parentheses.

Answers

Answer:

Step-by-step explanation:

1. 4/4+4-4=1

2. 4/4+4/4=2

3. 4+4/4-4=3

4. 4 × (4 − 4) + 4=4

5. (4 × 4 + 4) / 4=5

6. 44 / 4 − 4=6

7. 4+4-4/4=7

8. 4+4+4-4=8

9. 4+4+4/9=9

10. 44 / 4.4=10

Answer:

1 = (4 x 4)/(4 x 4) or  (4 + 4)/(4 + 4) or  (4 / 4) x (4 / 4) or  (4 / 4)/(4 / 4)  

2= (4 x 4)/(4 + 4) or 4 / ((4+4)/4)

3= (4 + 4 + 4)/4 or (4 x 4 - 4)/4

4 = 4 - (4 - 4)/4

5 = (4 x 4 + 4)/4

6 = 4 + (4 + 4)/4

7 = 4 - (4/4) + 4

8 = 4 + (4 x 4)/4

9 = 4 + 4 + (4/4)

10 - I tried the best. You might need ! or sqrt operator to get 4.

Updated:

I forgot we could use 4, 44, 444, or 4444, so that 10 could be expressed as:

10 = (44 - 4)/4

Use De Moivre's theorem to find the indicated power of the complex number. Write the answer in rectangular form.[2(cos10∘ + i sin10∘)]^3.

Answers

Answer:

[tex]\bold{4\sqrt3 + i4}[/tex]

Step-by-step explanation:

Given complex number is:

[tex][2(cos10^\circ + i sin10^\circ)]^3[/tex]

To find:

Answer in rectangular form after using De Moivre's theorem = ?

i.e. the form [tex]a+ib[/tex] (not in forms of angles)

Solution:

De Moivre's theorem provides us a way of solving the powers of complex numbers written in polar form.

As per De Moivre's theorem:

[tex](cos\theta+isin\theta)^n = cos(n\theta)+i(sin(n\theta))[/tex]

So, the given complex number can be written as:

[tex][2(cos10^\circ + i sin10^\circ)]^3\\\Rightarrow 2^3 \times (cos10^\circ + i sin10^\circ)^3[/tex]

Now, using De Moivre's theorem:

[tex]\Rightarrow 2^3 \times (cos10^\circ + i sin10^\circ)^3\\\Rightarrow 8 \times [cos(3 \times10)^\circ + i sin(3 \times10^\circ)]\\\Rightarrow 8 \times (cos30^\circ + i sin30^\circ)\\\Rightarrow 8 \times (\dfrac{\sqrt3}2 + i \dfrac{1}{2})\\\Rightarrow \dfrac{\sqrt3}2\times 8 + i \dfrac{1}{2}\times 8\\\Rightarrow \bold{4\sqrt3 + i4}[/tex]

So, the answer in rectangular form is:

[tex]\bold{4\sqrt3 + i4}[/tex]

A polling company reported that 53​% of 1018 surveyed adults said that secondhand smoke issecondhand smoke is "very harmful.""very harmful." Complete parts​ (a) through​ (d) below.
a. What is the exact value that is 53​% of 1018​?
b. Could the result from part​ (a) be the actual number of adults who said that secondhand smoke issecondhand smoke is "very harmful" question mark "very harmful"? Why or why​ not?
c. What could be the actual number of adults who said that secondhand smoke issecondhand smoke is "very harmful" question mark "very harmful"?
d. Among the 10181018 ​respondents, 260260 said that secondhand smoke issecondhand smoke is "not at all harmful.""not at all harmful." What percentage of respondents said that secondhand smoke issecondhand smoke is "not at all harmful" question mark "not at all harmful"?

Answers

Answer:

a. 539.54

b. No, the result from part (a) could not be the actual number of adult who said that secondhand smoke are very harmful because a count of people must result into a whole number.

c. 540

d. 25.54%

Step-by-step explanation:

Given that:

A polling company reported that 53​% of 1018 surveyed adults said that secondhand smoke is "very harmful."

Complete parts​ (a) through​ (d) below.

a. What is the exact value that is 53​% of 1018​?

The 53% of 1018 is :

=[tex]\dfrac{53}{100} \times 1018[/tex]

= 0.53 × 1018

= 539.54

b. Could the result from part​ (a) be the actual number of adults who said that secondhand smoke is ''very harmful"? Why or why​ not?

No, the result from part (a) could not be the actual number of adult who said that secondhand smoke are very harmful because a count of people must result into a whole number.

c. What could be the actual number of adults who said that secondhand smoke is secondhand smoke "very harmful"?

Since, a count of people must result into a whole number, the actual number of adults who said that secondhand smoke is secondhand smoke "very harmful" can be determined from the approximation of the exact value into whole number which is 539.54 [tex]\approx[/tex] 540.

d. Among the 1018 ​respondents, 260 said that secondhand smoke is  is "not at all harmful.''  What percentage of respondents said that secondhand smoke is  "not at all harmful"?

Since 260 respondents out of 1018 respondents said that the second hand smoke is not harmful, then the percentage of the 260 respondents is :

= [tex]\dfrac{260}{1018} \times 100 \%[/tex]

= 25.54%

The first common multiple of two number is 6. What is their fourth common multiple?

Answers

Answer:

4th multiple = 24

Step-by-step explanation:

Given

Let the two numbers be represented by m and n

Required

Find the 4th common multiple of the numbers.

From the question, we understand that the first common multiple of m and n is 6.

This can be represented as:

m * n * 1 = 6

mn = 6

Their fourth common multiple can be represented as: m * n * 4

4th multiple = m * n * 4

4th multiple = 4 * mn

Substitute 6 for mn

4th multiple = 4 * 6

4th multiple = 24

Hence, the 4th multiple of both numbers is 24.

The length of a rectangle is twice the width. If the length is increased by 4 inches and the width is decreased by 1 inch, a new rectangle is formed whose perimeter is 198 inches. Find the dimensions of the original rectangle.

Answers

Answer:

Width: 32 inches.

Length: 64 inches.

Step-by-step explanation:

Let's say that the width of the rectangle is x inches, so the length is 2x inches.

If 2x + 4 and x - 1, the perimeter is 198 inches. That means that two times the width plus two times the length is 198 inches.

2(2x + 4) + 2(x - 1) = 198

4x + 8 + 2x - 2 = 198

6x + 6 = 198

x + 1 = 33

x = 32.

That means that the width of the original rectangle is 32 inches, and the length is 32 * 2 = 64 inches.

Hope this helps!

Evaluate −x^2−5 y^3 when x = 4 and y = 1

Answers

Answer:

Simplify:

[tex]-4^2-5(1^3)[/tex]

So you get:

[tex]-21\\[/tex]

Answer:

[tex]\huge\boxed{-21}[/tex]

Step-by-step explanation:

-x²-5y³

Given that x = 4, y = 1

[tex]-(4)^2-5(1)^3[/tex]

[tex]-16-5(1)\\-16-5\\-21[/tex]

a ball is dropped from a height of 512 inches onto a level floor. after the fourth bounce it is still 2 inches off the ground. presuming that the height the ball bounces is always the same fraction of the height reached on the previous bounce. what is that fraction? A) 1/4 B) 3/7 C) 5/9 D)4/7 E)3/5

Answers

Answer:

A. 1/4

Step-by-step explanation:

We know that before the 1st bounce, the height of the ball is 512 inches.

Say the fraction is x.

Then, after the first bounce, the height of the ball is 512 * x = 512x.

After the second bounce, the height is now x * 512x = 512x².

By similar reasoning, the height after the third bounce is 512x³ and after the fourth bounce, it is [tex]512x^4[/tex].

We also know that after the fourth bounce, the height is 2 inches. So, set 2 equal to [tex]512x^4[/tex]:

2 = [tex]512x^4[/tex]

Divide both sides by 512:

[tex]x^4=2/512[/tex][tex]x^4=2/512=1/256[/tex]

Take the fourth root of both sides:

[tex]x=\sqrt[4]{1/256} =1/4[/tex]

Hence, the answer is A.

~ an aesthetics lover

Answer:

A. 1/4.

Step-by-step explanation:

This is exponential decay so we  have , where x = the fraction:

512(x)^4 = 2

x^4 = 1/256

x= 1 / (256)^0.25

= 1/4

Simplify the expression 3-8x3-4

Answers

Answer:

−8x3−1

Step-by-step explanation:

let's simplify step-by-step.

3−8x3−4

=3+−8x3+−4

Combine Like Terms:

=3+−8x3+−4

=(−8x3)+(3+−4)

=−8x3+−1

Answer:

-1 - (2x^3)^3

Step-by-step explanation:

The equation is:

=> 3 - 8x^3 - 4

=> -1 - 8x^3

=> -1 - (2x^3)^3

The following shows the monthly sales in units of six salespersons before and after a bonus plan was introduced. At 95% confidence, determine whether the bonus plan has increased sales significantly. (For the following matched samples, let the difference "d" be: d = after - before.)

Salesperson After Before
1 94 90
2 82 84
3 90 84
4 76 70
5 79 80
6 85 80

Answers

Answer:

Since the calculated value of t= 2.249 does not  falls in the rejection region we therefore accept  the null hypothesis at 5 % significance level . On the basis of this we conclude that the  bonus plan has not  increased sales significantly.

Step-by-step explanation:

The null and alternative hypotheses as

H0: μd=0    Ha: μd≠0

Significance level is set at ∝= 0.05

n= 6

degrees of freedom = df = 6-1 = 5

The critical region is t  ( base alpha by 2 with df=5) ≥ ± 2.571

The test statistic under H0 is

t = d/ sd/ √n

Which has t distribution with n-1 degrees of freedom

Sales                                      Difference

Person      After      Before   d = after - before      d²

1                   94          90                4                      16

2                  82          84               -2                       4

3                  90          84               6                       36

4                  76           70               6                       36

5                  79           80               -1                        1

6                  85          80                 5                       25  

∑                                                       18                   118

d`= ∑d/n= 18/6= 3

sd²= 1/6( 118- 18²/6) = 1/6 ( 118 - 54) = 10.67

sd= 3.266

t= 3/ 3.266/ √6

t= 2.249

Since the calculated value of t= 2.249 does not  falls in the rejection region we therefore accept  the null hypothesis at 5 % significance level . On the basis of this we conclude that the  bonus plan has not  increased sales significantly.

Two sides of a triangle are equal length. The length of the third side exceeds the length of one of the other sides by 3 centimeters. The perimeter of the triangle is 93 centimeters. Find the length of each of the shorter sides of the triangle

Answers

Answer:

30 cm

Step-by-step explanation:

let x be the lenght of the two sides of equal lenghts, so the other is x+3

and the perimeter is x+x +x +3

P=3x+3

P=3(x+1)

93=3(x+1)

31=x+1

x=30

so the shorter sides are of 30 centimeters and the longest is 33

Simplify the following expression. (4x − 8)(4x + 8)

Answers

Answer:

16x^2 - 64

Step-by-step explanation:

(4x − 8)(4x + 8)

We recognize that this is the difference of squares

(a-b) (a+b) = a^2 - b^2

                 =(4x)^2 - 8^2

                 =16x^2 - 64

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Fed is open to changing bond policy Fed policymakers signaled for the first time that they could increase or decrease stimulation of the economy in the future, but not now. Source: Los Angeles Times, May 1, 2013 What are the ripple effects and time lags that the Fed must consider in deciding when to increase or decrease stimulation of the economy? steps of Biological method of study taking malaria as an examples Rio Tinto's incentive to adopt new robotic technology was increased by the high wages it was having to pay to attract miners and truck drivers. In this instance, Rio Tinto began using new robotic technology to Find the value of x in this equation. 180-5x=1401805x=140 The risk-free rate is 5% and the tangency portfolio has 20% expected return and 40% return standard deviation. A risk-loving investor has $1000 of wealth and she seeks to attain 27.5% expected return. How much money does she need to borrow from the bank? A. 250 B. 500 C. 1500 D. 1000 when can people better understand and respect to each other The graph of a linear system is shown Which type of food, per gram, produces the most amount of energy for the body? salad apple bacon cheeseburger milk When discussing magnetic fields we could say thatmetals can become magnetic if they have many spinning electrons that create magnetic fieldsO metals are magnets because they have more electrons than non-magnetic materialsO non-paired electrons spin in opposite directions creating a magnetic fieldthe spinning electrons in some atoms pair up and create a magnetic field In the diagram, ABC and DBE are similar. What is the scale factor of the dilation that will map the preimage ABC onto the image DBE? A. 1.33 B. 0.75 C. 0.66 D. 0.55 Women are often victimized by their intimate partners, whether in married or dating relationships. How many high school girls are estimated to experience sexual or physical violence from a boyfriend? Which is the ratio of the number of months that begin with the letter M to the total number of months in a year? 2 to 12 2 to 10 10 to 12 12 to 2 Cmo se llama la persona que limpia la casa? A. niera B. dependiente C. camarera D. ama de llaves A principal of $2600is invested at 6.75% interest, compounded annually. How much will the investment be worth after 14 years Winston contracts to sell a plot of land called Blackacre to Paris for $500,000. Winston breaches the contract and Paris sues him. Blackacre's reasonable market value at the time of the breach was $525,000. Paris can recover: Group of answer choices only $25,000. B. La velocidad de los electrones en los conductores metlicos es muy pequea, del orden de algunos mm por segundo. Cmo podras explicar que cuando se cierra el interruptor de, una bombilla situada a 10m de distancia se ilumina casi instantneamente? (explica tu respuesta construyendo una hiptesis deductiva a partir de la relacin de algunas leyes fsicas y teoras cientficas.) E. Utiliza la sustitucin como herramienta de cohesin y coherencia en cada uno de los prrafos, por lo menos 3 veces. la historieta en el cine y la televicion Pronto la historieta incorpor otros personajes: Robin, el muchacho maravilla, que sera desde entonces el compaero de aventuras de Batman, y una serie de villanos famosos, como El Pingino, Gatbela, El Acertijo y El Guasn. Actualmente, se emiten por televisin, con mucho xito, unos dibujos animados que tienen a este superhroe como protagonista. Adems, los episodios de la ya clsica serie se reponen peridicamente, pera deleite de los batifanticos. El dibujante Bob Kane y el escritor Hill Finger crearon Batman para la revista Detective Comics, en mayo de 1939. La editorial le encarg a Kane que elaborara a un personaje que aprovechara el xito de Superman, la historieta que haba sido estrenada un ao antes, en 1938. El nuevo personaje se pareca al ya famoso, porque mantena una doble personalidad: una pblica, el tmido millonario Bruno Daz, y otra secreta, el audaz Batman, el hombre murcilago, que combate incansablemente contra el crimen. Pero Batman presentaba una particularidad, no se trataba de un hroe con superpoderes, sino de un ser humano con unas caractersticas especiales: una prodigiosa inteligencia, una fortuna incalculable y una habilidad superior como detective, que conjugaba la astucia con el entrenamiento fsico. En la dcada de 1980, Batman volvi al cine, en un film del realizador cinematogrfico Tim Burton, que recre el mundo de la Ciudad Gtica, sus villanos y su famoso hroe, el encapuchado Batman, encarnado por el actor Michael Keaton. Esta pelcula tambin tuvo un xito de pblico, por lo que los productores de Hollywood decidieron realizar otras tres continuaciones. El cuarto Batman de esta nueva era fue interpretado por George Clooney. En la dcada de 1960, el hroe creado por Kane fue llevado a la televisin, La serie dur solamente tres temporadas, pero tuvo tanto xito, que hasta se realiz una pelcula. Los actores que interpretaban los roles de Batman y Robin fueron Adam West y Bur Ward. Como invitados, aparecan grandes figuras internacionales. La influencia del arte pop y del lenguaje de los cmics estaba presente en la serie a travs de muchos elementos grficos, el vestuario y la caracterizacin de los personajes, el particular uso del encuadre de la cmara y del color. La historieta, el cine y la televisin Answer the following question in 3-4 complete sentences.This is a design by Leonardo da Vinci called, Old Man Contemplating the Flow of Water. What do you see when you lookat this image? Why do you think the artist designed the image the way he did? Explain the relationship between a thriving civilization and its agriculture system? In a paragraph If the temperature of a gas increased from 100K to 200K and the volume of a gas decreased from 20L to 10L, what is the new pressure Id the original pressure was 100 kPa?