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## You call your best friend to invite him (or her) to a concert. Nobody answers the phone so you decide to leave a message. Record the message that you would leave for your friend. Your message should be at least 5 complete sentences in Spanish.

You call your best friend to invite him (or her) to a concert. Nobody answers the phone so you decide to leave a message. Record the message that you would leave for your friend. Your message should be at least 5 complete sentences in Spanish.

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## You are making flour and water paste. You add 1/4 cup of water to the paste. Your friend adds 1/2 cup of water to the paste. How much water did the two of you add?

### Answered by answersmine AT 22/10/2019 – 03:01 AM

3/4 of a cup.If your friend adds a 1/2 a cup of water, that is equivalent to 2/4 as well. if you add the 1/4 cup of water you added to the 2/4 cup of water your friend added you will see that the two of you have added a total of 3/4 of a cup of water to the paste

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## What is the theme of Ode to a Grecian Urn? A. Beauty is eternal. B. Beauty is a universal language among friend and foe. C. both of these D. none of these

Option B. The theme of “Ode to a Grecian Urn” is that beauty is eternal.

Explanation:

“Ode to a Grecian urn” is a poem written by the English poet John Keats in May 1818 and anonymously published on 1820 in an Art magazine. The central theme of the poem examines the eternity that beauty and truth holds and relates them to how our own lives are transcendent. For the speaker,it is through beauty that humankind connects to the truth, and how complex it is for us to comprehend that both concepts, truth and beauty, are indeed eternal while our existence is not. The speaker is not only meditating on beauty and its connection to art but at the same time is trying to understand the complex emotions that death awakens in him, and how inevitable it is.

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## Maddie's doctor used a lot of technical language when explaining her diagnosis. What is the first thing Maddie should do if she is not clear on what the doctor said? Ask questions to see if the doctor can explain it another way Find another doctor who explains clearly to her Search for the symptoms online to see what information she can find Tell a friend what the doctor said, and see if he can explain it

Maddie’s doctor used a lot of technical language when explaining her diagnosis. What is the first thing Maddie should do if she is not clear on what the doctor said? Ask questions to see if the doctor can explain it another way Find another doctor who explains clearly to her Search for the symptoms online to see what information she can find Tell a friend what the doctor said, and see if he can explain it

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## Which one of the following would you be most comfortable doing? introducing yourself to a stranger calling a friend to ask a favor standing to speak at a meeting with a large audience making a complaint to an executive or politician returning a call to an angry customer very comfortable doing any of these would not be comfortable doing any of these has to be 1 question answered applying for a job

The most comfortable thing that I would do among the choices is
introducing myself to a stranger

There’s no harm in approaching someone and telling them your name and asking for theirs. This is much easier when what you have in mind is purely introducing yourself and asking for other person’s name. After that, you can choose to do whatever you want, either start a conversation with a topic or end it at just knowing each other’s names.

The other choices involve some form of conflict or negative emotions which is why they’re harder to do.

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## Which is an example of weak social behavior? asking your friend to do you a favor from time to time being both happy and a little upset when a friend performs better than you at a task insisting on doing what you want to do whenever you're with your friends

Which is an example of weak social behavior? asking your friend to do you a favor from time to time being both happy and a little upset when a friend performs better than you at a task insisting on doing what you want to do whenever you’re with your friends

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## Your friend recently entered a few chess competitions, but lost them all really badly. if he has an entity theory of self, what is he most likely to do

### Answered by answersmine AT 22/10/2019 – 05:24 AM

If the individual has entity theory, then it means that he or she has the thought or belief that his or her knowledge about things are unchangeable in a way that they are built that way and are already fixed. If the individual has lost the chess game and he has the entity theory, he would probably think that he has bad genes when it comes to playing chess.

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## You are a marketing director for a large food manufacturer. lately, you have noticed that you are spending a great deal more time at work, sometimes 14 hours a day, because your best friend, who is head of product development, continues to ask you to serve on taste test panels for new products. which type(s) of conflict are you experiencing

The Contribution Margin per unit (CM) can be calculated
from the difference of Selling Price per unit (SP) and Total Expenses per unit
(TE).

First, let’s calculate the value of SP:

SP = Sales / Units sold

SP = \$1,043,400 / 22,200 units sold

SP = \$47

Second, calculate all expenses:

Direct materials per unit = \$234,948 / 27,970 units
manufactured = \$8.4

Direct labor per unit = \$131,459 / 27,970 units
manufactured = \$4.7

Variable manufacturing overhead per unit = \$240,542 / 27,970
units manufactured = \$8.6

Variable selling expenses per unit = \$113,220 / 22,200
units sold = \$5.1

TE = \$26.8

Therefore the CM is:

CM = SP – TE

CM = \$47 – \$26.8

CM = \$20.2 per unit

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## Bea can run around the park in about 16minutes and her friend hillary can do it in about 20minutes if they both start the same time and continue running around the park,about how long will it take them to be next to each other again?

Option C – BD=76 cm

Step-by-step explanation:

Given : You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm.

To find : How long BD should it be?

Solution :

First we draw a rough diagram.

The given sides were AD = 44.8 cm, DC = 72 cm and AC = 84.8 cm.

According to properties of kite

Two disjoint pairs of consecutive sides are congruent.

DC=BC=72 cm

The diagonals are perpendicular.

So, AC ⊥ BD

Let O be the point where diagonal intersect let let the partition be x and y.

AC= AO+OC

AC=   …….[1]

Perpendicular bisect the diagonal BD into equal parts let it be z.

BD=BO+OD

BD=z+z

Applying Pythagorean theorem in ΔAOD

where H=AD=44.8 ,P= AO=x , B=OD=z

………[2]

Applying Pythagorean theorem in ΔCOD

where H=DC=72 ,P= OC=y , B=OD=z

…………[3]

Subtract [2] and [3]

……….[4]

Add equation [1] and [4], to get values of x and y

Substitute x in [1]

Substitute value of x in equation [2], to get z

We know, BD=z+z

BD= 38.06+38.06

BD= 76.12

Nearest to whole number BD=76 cm

Therefore, Option c – BD=76 cm is correct.

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## your friend gets chosen to play on the school soccer team but you do not. as a result you begin to feel jealous. what might a jealous reaction be towards your friend if it is not controlled? what is the healthier way of reacting?

Charlie had a waist circumference of 47 inches and a BMI of 29 this shows that she is overweight. BMI test level is high from normal ranges shows that she is at higher risk of disease. She should lose weight and concern to the doctor.

Further Explanation:

Body mass index (BMI) is a measured value derived from the height of a person and mass.

BMI indicates whether the person is healthy or overweight mainly used by physicians.

• Range of BMI in a normal person is 18.5-25

• Range of BMI in skinfold person is 25-30

• Range of BMI in underweight person is 15-18.5

The skinfold measurement test is used to determine a person’s body fat percentage and body composition.

In this test, we are the proportion of body fat by determining skinfold thickness at pinches specific part of the body. The estimate of these folds is determined the fat beneath the skin, also called subcutaneous adipose tissue.

The tester pinches the skin at the site and drags the fold of skin away from the muscle so only the fat tissue and skin are being held. The skinfold thickness is measured by skinfold calipers in millimeters.

Skin test includes the seven locations of the body:

1. Triceps

3. Suprailiac

4. Pectoral

5. Subscapular

6. Midaxilla

7. Abdomen

Charlie had a waist circumference of 47 inches and a BMI of 29 this shows that she is overweight. Females with waist size 47 inches have higher risk of having disease. BMI test level is high from normal ranges shows that she is at higher risk of disease.She should lose weight and concern to the doctor.

Subject: Health

Chapter: Physical Fitness

Keywords:

Body index mass, weight, doctor, triceps, abdomen, midaxilla, Quadriceps, skinfold, mass, height, pectoral.

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## Muhammad Ahmad proclaimed himself to be the Mahdi, which means _____ friend of Buddha enlightened one savior of the Islamic faith leader of the Zulus

Muhammad Ahmad proclaimed himself to be the Mahdi, which means _____ friend of Buddha enlightened one savior of the Islamic faith leader of the Zulus

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## Prompt: Most people know that drinking alcohol during pregnancy can be harmful to the developing child. A friend of yours is pregnant, and has been drinking alcohol during her pregnancy. You want to talk to her about the consequences that her baby could face because of her consumption of alcohol. What will you say to your friend to convince her to stop drinking during pregnancy?

According to Jean Piaget, around age 11, the fourth stage of cognitive development, the formal-operational stage begins.
This is the stage that starts at around 11, and lasts into the adulthood and the rest of a human’s life. During this period, people start understanding abstract concepts, develop logical thought, as well as deductive reasoning, which are all important for the years to come.

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## My friend felt dizzy and passed out. What should I do?

1. The answer is “C”.

“Identical twins” who have been raised apart are typically more similar in intelligence level than biological siblings raised together because they have been born with the same genetic code.

Identical twins originate from a single fertilized egg that parts into two. Before it parts, it is either male or female. After it parts, there are either two guys or two females. The two sections of the fertilized egg embed in the uterus and every create one of the twins.

Identical twins have the equivalent hereditary source. No immediate reason for monozygotic twinning has been resolved; it isn’t innate. Monozygotic twins speak to around 33% all things considered. They may look strikingly comparative, and it might be hard to reveal to them separated.

2. The answer is “A”.

Lawrence Kohlberg felt that one of the only ways individuals will accomplish the objectives in each of his six stages was to participate in “consensus democracy” in small group settings.

Lawrence Kohlberg felt that the best way to support development through these stages was by discourse of good problems and by investment in consensus democracy inside small groups. Consensus democracy was rule by understanding of the gathering, not larger part rule. This would invigorate and widen the reasoning of youngsters and grown-ups, enabling them to advance starting with one phase then onto the next.

3. The answer is “D.  showing a learner how to correct common mistakes”.

The term scaffolding alludes to a procedure in which instructors display or exhibit how to take care of an issue, and afterward venture back, offering support as required. Analyst and instructional architect Jerome Bruner first utilized the term ‘scaffolding’ in this setting, harking back to the 1960s. The hypothesis is that when understudies are given the help they require while discovering some new information, they stand a superior possibility of utilizing that learning freely. Bruner suggests positive association and three methods of portrayal amid educating: activities, pictures, and dialect.

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## Your friend, who is a year older than you, and a group of his friends are asking you to go for a ride in your friends car. You know they have been drinking. You feel nervous about this event. Describe how you will say no to them, what your friend might say in response to convince you to come, and what your response to him will be.

1. The answer is “C”.

“Identical twins” who have been raised apart are typically more similar in intelligence level than biological siblings raised together because they have been born with the same genetic code.

Identical twins originate from a single fertilized egg that parts into two. Before it parts, it is either male or female. After it parts, there are either two guys or two females. The two sections of the fertilized egg embed in the uterus and every create one of the twins.

Identical twins have the equivalent hereditary source. No immediate reason for monozygotic twinning has been resolved; it isn’t innate. Monozygotic twins speak to around 33% all things considered. They may look strikingly comparative, and it might be hard to reveal to them separated.

2. The answer is “A”.

Lawrence Kohlberg felt that one of the only ways individuals will accomplish the objectives in each of his six stages was to participate in “consensus democracy” in small group settings.

Lawrence Kohlberg felt that the best way to support development through these stages was by discourse of good problems and by investment in consensus democracy inside small groups. Consensus democracy was rule by understanding of the gathering, not larger part rule. This would invigorate and widen the reasoning of youngsters and grown-ups, enabling them to advance starting with one phase then onto the next.

3. The answer is “D.  showing a learner how to correct common mistakes”.

The term scaffolding alludes to a procedure in which instructors display or exhibit how to take care of an issue, and afterward venture back, offering support as required. Analyst and instructional architect Jerome Bruner first utilized the term ‘scaffolding’ in this setting, harking back to the 1960s. The hypothesis is that when understudies are given the help they require while discovering some new information, they stand a superior possibility of utilizing that learning freely. Bruner suggests positive association and three methods of portrayal amid educating: activities, pictures, and dialect.

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## Your friend, who is a year older than you, and a group of his friends are asking you to go for a ride in your friend’s car. You know they have been drinking. You feel nervous about this event. Describe how you will say no to them, what your friend might say in response to convince you to come, and what your response to him will be.

1. The answer is “C”.

“Identical twins” who have been raised apart are typically more similar in intelligence level than biological siblings raised together because they have been born with the same genetic code.

Identical twins originate from a single fertilized egg that parts into two. Before it parts, it is either male or female. After it parts, there are either two guys or two females. The two sections of the fertilized egg embed in the uterus and every create one of the twins.

Identical twins have the equivalent hereditary source. No immediate reason for monozygotic twinning has been resolved; it isn’t innate. Monozygotic twins speak to around 33% all things considered. They may look strikingly comparative, and it might be hard to reveal to them separated.

2. The answer is “A”.

Lawrence Kohlberg felt that one of the only ways individuals will accomplish the objectives in each of his six stages was to participate in “consensus democracy” in small group settings.

Lawrence Kohlberg felt that the best way to support development through these stages was by discourse of good problems and by investment in consensus democracy inside small groups. Consensus democracy was rule by understanding of the gathering, not larger part rule. This would invigorate and widen the reasoning of youngsters and grown-ups, enabling them to advance starting with one phase then onto the next.

3. The answer is “D.  showing a learner how to correct common mistakes”.

The term scaffolding alludes to a procedure in which instructors display or exhibit how to take care of an issue, and afterward venture back, offering support as required. Analyst and instructional architect Jerome Bruner first utilized the term ‘scaffolding’ in this setting, harking back to the 1960s. The hypothesis is that when understudies are given the help they require while discovering some new information, they stand a superior possibility of utilizing that learning freely. Bruner suggests positive association and three methods of portrayal amid educating: activities, pictures, and dialect.

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## Select the correct answer Emily is trying to tell her Chilean friend that her parents love Latin American food, but they can’t cook it. Which sentence best conveys how she expresses herself? A mis padres, no les gustan la comida latina, pero quiero cocinarla. A mis padres, les gusta la comida latina, pero no pueden cocinarla. A mis padres, nos gusta la comida latina, pero no podemos cocinarla. A mis padres, no les gusta cocinar la comida latina. A mis padres, no pueden cocinar la comida latina porque no le gusta.

In Spanish, the preterite tense (el pretérito) is used to describe actions completed at a point in the past. So the Spanish preterite is not used to describe regular or continuous actions in the past with no specific beginning or end. In that case, we use the imperfect. Therefore, we use the preterite to talk about completed actions in the past. So, it is used to talk about beginnings and ends, things that occurred on specific dates or days, at specific times or during specific time periods, and events in a sequence. There are two forms in this verbal tense, namely: Regular Imperfect Forms and Irregular Imperfect Forms.

On the other hand, the imperfect tense (el imperfecto) is used to describe past habitual actions or to talk about what someone was doing when they were interrupted by something else. In general, the imperfect is used to talk about past actions, conditions, or events that occurred regularly or frequently or that were in progress in a moment in the past. It is also used to tell time, talk about dates, give a person’s age, and describe features, conditions, and feelings in the past. As in the preterite tense, there are two forms in this verbal tense, namely: Regular Imperfect Forms and Irregular Imperfect Forms.

The regular verb forms for both the preterite and the imperfect are given in three ways, that is, for ar, er and ir endings. So the conjugation will depend on the pronoun of the sentence and the verb ending. On the other hand, the irregular verb forms don’t have a defined structure.

1. Los pacientes esperaban
en la sala de espera.

Imperfect tense
Regular Verb:
Esperar
ar ending
Conjugation: Esperaban (For the third-person
plural)

2. Cuando era
pequeño quería ser enfermero.

Imperfect tense
Regular Verb: Querer
er ending
Conjugation: Quería (For the first-person
singular)

3. Anoche me olvidé
de tomar mis antibióticos.

Preterite tense
Regular Verb: Olvidar
ar ending
Conjugation: Olvidé (For the first-person
singular)

4.
Una vez mi
familia y yo tuvimos un accidente de coche.

Preterite tense
Regular Verb: Tener
er ending
Conjugation: Tuvimos (For the first-person
plural)

5. Mientras mi

Imperfect tense
Regular verb: Toser
and Dormir
ar and ir ending
Conjugation: Tosía and dormía (For the third-person
singular)

6. Todas las
semanas el doctor me hacía una radiografía.

Imperfect tense
Regular verb: Hacer
er ending
Conjugation: Hacía (For the third-person
singular)

7. Cuando era niño,
todo el tiempo me enfermaba

Imperfect tense
Regular verb: Enfermar
ar ending
Conjugation: Enfermaba (For the first-person
singular)

8. Mis padres me llevaban
al consultorio

Imperfect tense
Regular verb: Llevar
ar ending
Conjugation: Llevaban (For the third-person
plural)

9. pero nunca era

Imperfect tense
Irregular verb: Ser
Conjugation: Era

10. Una vez,
mientras jugaba en el patio de la escuela yo me caí

Imperfect tense
Regular verb: Jugar
ar ending
Conjugation: Jugaba (For the first-person
singular)

11. y me rompí un
brazo.

Preterite tense
Regular verb: Romper
er ending
Conjugation: Rompí (For the first-person
singular)

12.
que llevarme rápidamente a la sala de emergencia porque me dolía mucho.

Preterite tense
Regular verb: Tener
er ending
Conjugation: Tuvo (For the third-person
singular)

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## What does it mean when a guy friend massages your shoulders?

The advice might be to reassure her partner of her love. Jealousy usually comes not from outside, but from within ourselves and our insecurities.

EXPLANATION

Jealousy can sometimes be a major problem in a relationship. Marital therapists have stated that romantic jealousy placed third as the most serious problems that a marriage can have. Jealousy is not a sign of love, but it is motivated by triggers, such as low self-esteem, neuroticism, insecurity, possessiveness, dependency on the partner, feeling inadequacy in a relationship, and having an anxious attachment style.

Thus, the key to reducing jealousy responses of your spouses is to make them feel more secure. You can make your partner feel more securely attached by giving them support and the act of services. These things can make your partner less severely to a jealousy-inducing situation. Jealousy is the act that is stimulated from one own’s insecurity, and it is not an act of love they have for their partner.

If you have a jealous partner, then it might be better for you to reassure them, then just be angry with them because of their jealousy. If you respond to your jealous partner with reassuring them of your love and interest towards them, then you may have a more stable relationship.

If you’re interested in learning more about this topic, we recommend you to also take a look at the following questions:

Metaphors of jealousy and happiness: brainly.com/question/6709275

Jealousy and revenge on Othello: brainly.com/question/9483811

KEYWORD: jealous, partner, advice

Subject: Social Studies

Class: College

Subchapter: Jealousy

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## Now I know this isn’t a question about school, but I need help. What do you do when you find out you’re bf cheated on you with your best friend, but your best friend was the one who told you?

Since a tiny tender child of four,
There’s nothing that I dreamt of more,
Than to jump aboard a great big ship,
A telescope, a map, a sword, by my hip,
To feel the sea breeze in my hair,
To stroke my parrot on the wood chair,
To be bold and brave and happy as can be,
To trek and travel and sail the seven seas.

8 lines. Rhyme scheme aabbccdd. If I managed to write that in about 4 minutes, you could write something much better and longer in like 30 minutes. You can use my rubbish poem as inspiration lol. Good luck X

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## Your friend has signed up for a dance class and thinks you should join to get more cardio exercise. What type of peer pressure is this? Positive Negative Destructive Neutral

A) Increase his activity and exercise levels and add more calories to gradually gain weight

B) Increase his activity and exercise levels and eat the same number of calories to gradually gain weight

C) Increase his snacks to two or three per day until he reaches his target weight

D) Increase his calories consumed and do less activity and exercise until he reaches his target weight

The best answer is A

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## What sentence has a critical tone? The show will run from March 20 to April 16 at the Landmark Theater in Ashland. The script of My Friend Andy imparts the simple wisdom of small-town folks. The intricate costumes and energetic dance numbers bring energy to the show. The amateur cast is unable to convey the significance of the show’s message.

Hey there!

Correct answer is D. Comma or Period Inside Rule

A. Question mark or exclamation point inside: those are not really necessary.

B. Colon or semicolon: not, a semicolon would divide the whole sentence and it would be shorten; a colon would work but after requested, when there is already a comma.

C. Question mark or Exclamation Point Outside Rule: would not work, becase it is an very polite and affirmative sentence.

D: A comma or period inside rule: actually, just a comma would work. Please, Cooper’s dad requested, go… Cooper’s dad requested must be in between commas as it is a vocative.

Hope this helps

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## High of these is an example of idiom? A. It was fun to watch my baby sister play in the field of grass. B. I wasn’t sure why he was angry. His mood came out of left field. C. My brother and I got in a huge fight. My best friend had to stop us. D. The cat seemed angry. She hissed every time I came near.

The Reformation actually started after Columbus’s landing in North America.

Treaty of Tordesillas in 1494 was forced on Spain and Portugal by the Pope. The Pope basically said that all lands in the New World belonged to Spain and all new non-Christian lands in the Eastern Hemisphere belong to Portugal. No other Catholic countries can do anything in those areas without the approval of the owner.

The pope basically drew two lines on the globe setting the border. The western line started at the north pole cut half way through Greenland and ended at the south pole. The new world was everything to the west. Problem is that it ran through a chunk of Brazil which is why Brazil is an ex-Portuguese colony.

The Eastern line starts at the North Pole runs through siberia, through the pacific just west of Japan, and cuts Australia in half. Of course, Australia hadn’t been discovered yet. Everything to the the east of this line is the new world.

Obviously, this treaty didn’t hold up well, but the reformation gave the protestant countries an excuse to explore the new world since they didn’t have to take orders from the Pope. Even so, France, a catholic country, ignored it too.

Really, the only country that was effected by the reformation in the exploration of the Americas was England. All the other countries, changed their religion once and then went to war with the nearest catholic country. Sweden became Lutheran and stayed that way. The Dutch Republic became Calvinists and stayed that way.

England kept switching. First it was Catholic. Then, Henry VIII made it protestant. Then, Henry’s daughter Mary I made it catholic again. Henry’s other daughter Elizabeth I (with the two hit movies) made it Protestant again.

Years latter, Oliver Cromwell over through the monarchy, executed the King Charles I, and established a Protestant fundamentalist religious military dictatorship. He outlawed drinking,smoking, gambling, theater, dirty books, sports, prostitution, and anything generally fun. He would have made Saudi Arabia proud. Basically, all you could do is work, pray, and die. Sex was allowed for creating children, but you couldn’t enjoy it.

When Cromwell died, the people of England said enough was enough and brought back the King. Charles II kicked out the fundamentalists and brought back drinking, smoking, gambling, dirty books, sports, prostitution, and having fun during sex. Incidentally, those were also all his hobbies.

This brings us to the famous Pilgrims. They were part of Cromwell’s crowd. They kept agitating a return to the no-fun policy. They annoyed everybody. They weren’t persecuted for practicing their religion, they were persecuted because they kept trying to force their religion on everyone else. Sort of like Southern Baptists.

Charles II was the most easy going monarch in British history. Do realize how annoying you have to be to get him to throw you out.

Charles’s brother James II was obsessed with turning Great Britain catholic again. After four years of trying, they kicked him and his followers out.

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## Your friend has broken his leg. Tell him THREE things to do and TWO things not to do. For example: Sleep 8 hours a night. Don’t walk a lot. HINT: Use affirmative AND negative “tú” commands. (25 points)

Name: Soy (your name). [I am ____]

Age: Tengo (age in numbers in Spanish) años. [I have ___ years. -a bit odd, but that’s how it’s said.]

Description 1: Soy (you could ethnicity, or a personality description/physical description?). {americano (American), comico (funny), alto/a (tall), bajo/a (short)} (I am _____)

Description 2: Estoy (you could use a physical condition). {enfermo/a (sick), cansado/a (tired)} (I am ___)

Feelings: Estoy (emotion). {bien, triste, mal, más-o-menos, etc.} [I am_____]

Something you like: Me gusta (something- a sport maybe, or an infinitive (to run, to sing)). {béisbol, baloncesto, correr, cantar} (I like __)

If you don’t understand ser vs estar, you can use this website: http://www.drlemon.com/Grammar/servsestar.html

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## Josh kept 75% of the ride tickets he bought at a carnival and gave the rest to his friend Sam. Sam gave 50% of these tickets to Rob. If Rob was given 3 tickets, how many tickets did Josh buy?

Solution:

The Given Rectangle having dimensions

Length = 80 cm

Breadth = 50 cm

Let the Six squares which has been cut from this rectangle have side of length a cm.

Area of each square = (Side)²= a²

Area of 6 Identical Squares = 6 × a²= 6 a²

If four squares are cut from four corners and two along Length,

then , Length of Box = (80 – 3 a)cm, Breadth of Box = (50 – 2 a)cm, Height = a cm

Volume of Box =V = Length × Breadth × Height

V = (80 – 3 a)× (50 – 2 a)× a

V   = 4000 a – 310 a² + 6 a³

For Maximum Volume

V’= 0 , where V’ = Derivative of V with respect to a.

V’= 4000 – 620 a + 18 a²

V’ =0

18 a² – 620 a + 4000= 0

9 a² – 310 a + 2000=0

using determinant method

cm

V”=1 8 a – 310 = -ve

which shows , when a = 8.6 cm , volume is maximum.

So, V = 4000×8.6 – 310×(8.6)²+6×(8.6)³=15288.736 cm³

OR

If four squares are cut from four corners and two along Breadth,

then , Length of Box = (80 – 2 a)cm, Breadth of Box = (50 –  3 a)cm, Height = a cm

Volume of Box =V = Length × Breadth × Height

V = (80 – 2 a)× (50 – 3 a)× a

V   = 4000 a – 340 a² + 6 a³

For Maximum Volume

V’= 0 , where V’ = Derivative of V with respect to a.

V’= 4000 – 680 a + 18 a²

V’ =0

18 a² – 680 a + 4000= 0

9 a² – 340 a + 2000=0

Using Determinant method

cm

V”=18 a -340= -ve value when a = 7.6 cm, shows volume is maximum when a = 7.6 cm

V= 4000×7.6 -340 × (7.6)² +6× (7.6)³=13395.456 cubic cm