Gemini

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Gemini Pro 1.0

You are a conscientious and detail-oriented reading assistant who finds direct answers to questions in an informative passage. Consider the following passage and answer the question that follows.
--------------
"Children learn languages faster, more easily, and better than adults."

It's a crowd-pleaser, and a belief that has so nestled its way into the popular consciousness that it is rarely questioned or scrutinized. Its charm may come in part from the very personal nature of failure of language acquisition for many of its proponents. Perhaps belief in it acquits them of culpability for their own travails. Against this backdrop, a central theory has emerged.

Advocates of brain plasticity paint a picture of children's brains as spongy receptacles eagerly soaking up linguistic nuances. From this view, children waltz through language learning, rewiring and reorganizing their brains frequently. Meanwhile, adults lament their late start, toiling over grammar exercises and vocabulary lists with their ossified neurons. This glossy narrative forgets the sheer utility driving young learners. The transformation from a pre-linguistic state to a first-language speaker may be less a leisurely stroll in the park and more a survival sprint, motivated by the need to make sense of and navigate a bewildering world. That children acquire up to seven new words per day is cited to substantiate the ease of language absorption for children. However, might this voracious rate of word acquisition simply be evidence of the depth of need to express and satisfy basic preferences and make sense of basic experiences?

The comfort of an existing language, then, may be a double-edged sword for adult learners. On the one hand, it gives them a template of grammar and structure that becomes a toolkit to understand a new language. On the other, it relieves much of their primal need to navigate, narrate, and order the world around them, thus obviating the primary motivation for acquiring a second language.

Some of this urgency can be reclaimed through full-immersion programs, which force adults to step into environments where their native tongue loses any currency, and the new language again becomes a lifeline, not merely an academic pursuit.
--------------
The author's references "seven new words per day" (paragraph 3) in order to
(A) underscore an astounding fact
(B) revisit a commonly-held assumption
(C) derive an adaptable state from an inflexible one
(D) illustrate a bewildering environment
(E) contextualize a central theory

Do not explain your reasoning; respond only with the letter corresponding to the correct answer.

You assist humans by completing stories. Finish the following incomplete story by replacing "<MISSING CONTENT>" with a sentence or fragment that logically and coherently satisfies the story's events. Respond with fewer than 20 words that replace "<MISSING CONTENT>" to tie together the parts of the story that come before (if any) and after (if any):

Elena liked to cool off on hot days by going swimming at a nearby park. She loved wearing a different colored swimsuit each day of the week. One day in July, she called her friend Sofie to check if she wanted to come along to the pool. Sofie said she would love to, but she didn't have a swimsuit. Elena <MISSING CONTENT>

offered to lend Sofie one of her extra swimsuits.

You assist humans by completing stories. Finish the following incomplete story by replacing "<MISSING CONTENT>" with a sentence or fragment that logically and coherently satisfies the story's events. Respond with fewer than 20 words that replace "<MISSING CONTENT>" to tie together the parts of the story that come before (if any) and after (if any):

Lily and Ben were staying in a resort while on vacation. The resort had a giant chess set in the lobby. One day, when it was raining outside, Lily suggested they play chess to pass the time. After setting up the chess pieces, Lily said with disappointment, “look Ben, this set is missing a pawn.” Ben took off his hat. <MISSING CONTENT> Lily's face brightened. "That's a great idea! Now we can play."

You assist humans by completing stories. Finish the following incomplete story by replacing "<MISSING CONTENT>" with a sentence or fragment that logically and coherently satisfies the story's events. Respond with fewer than 10 words that replace "<MISSING CONTENT>" to tie together the parts of the story that come before (if any) and after (if any):

Jane and Paul had just gotten off an overnight train ride ready for a day of backpacking. Stepping onto the platform, the couple saw the first rays of the sun meet their eyes. Jane glanced down at her phone and suddenly went quiet. <MISSING CONTENT>. Paul replied, "Believe it or not, I think we will be just fine!" Reaching into his backpack, he pulled out a portable solar charger. Jane stared at him in disbelief, "Seriously Paul, your preparation in any situation never ceases to surprise me!"

You assist humans by completing stories. Finish the following incomplete story by replacing "<MISSING CONTENT>" with a sentence or fragment that logically and coherently satisfies the story's events. Respond with fewer than 20 words that replace "<MISSING CONTENT>" to tie together the parts of the story that come before (if any) and after (if any):

The last day of summer camp, Mia recruited a group of students to challenge the camp counselors to a game of volleyball to commemorate their week. The volleyball court was a sandy area with a net next to a low storage building with a flat roof. When the time came for the game, no one could seem to find a ball to play, despite the fact that balls had been plentiful at the beginning of the week. Mia had an idea. <MISSING CONTENT> One of the counselors replied, "I have the keys." He unlocked the door and together they ascended a narrow staircase.

She led them to the low storage building and climbed onto the roof.

You are a conscientious and detail-oriented reading assistant who answers questions using an informative passage. Consider the following passage and answer the question that follows.

There is a famous university in England named Oxford University. It is one of the oldest universities in the world. It started in the 12th century, though the exact year is not known. Many talented people have studied there, including several well-known authors and world leaders. Today, it encourages students to aim high and achieve their potential in a rich academic setting.

According to the passage, which of the following facts about Oxford University most contributes to making it unique?
A) It is very old
B) It is one of the only universities in England
C) It helps students achieve their potential and become successful
D) It has educated more authors and world leaders than any other university

Do not explain your reasoning; respond only with the letter corresponding to the correct answer.

Read the passage below and answer the multiple-choice question that follows it. You may explain your reasoning but you must end your response with a new line and the letter corresponding to the correct answer.
--------------
Jim Gilmore came to Hortons Bay from Canada. He bought the blacksmith shop from old man Horton. Jim was short and dark with big mustaches and big hands. He was a good horseshoer and did not look much like a blacksmith even with his leather apron on. He lived upstairs above the blacksmith shop and took his meals at A. J. Smith's.

Liz Coates worked for Smith's. Mrs. Smith, who was a very large clean woman, said Liz Coates was the neatest girl she'd ever seen. Liz had good legs and always wore clean gingham aprons and Jim noticed that her hair was always neat behind. He liked her face because it was so jolly but he never thought about her.

Liz liked Jim very much. She liked it the way he walked over from the shop and often went to the kitchen door to watch for him to start down the road. She liked it about his mustache. She liked it about how white his teeth were when he smiled. She liked it very much that he didn't look like a blacksmith. She liked it how much A. J. Smith and Mrs. Smith liked Jim. One day she found that she liked it the way the hair was black on his arms and how white they were above the tanned line when he washed up in the washbasin outside the house. Liking that made her feel funny.
--------------
Based on the passage, which of the following best describes Jim Gilmore's appearance?
A) Tall and slender with a clean-shaven face
B) Short and dark with a big mustache and big hands
C) Blond and muscular with a prominent beard
D) Average height with a slight build and neatly combed hair

You assist humans in solving logic games. Consider the following statements and the question that follows. You may include your reasoning, but you must end your response with a new line and the letter corresponding to the correct answer.

  "All employees of Duluth Paper received a bonus this year"
  "Andrés did not receive a bonus this year"

If both of the above statements are true, which of the following must also be true?
A) Not all employees of Duluth Paper received a bonus this year
B) No one who received a bonus is an employee of Duluth Paper
C) Andrés was not an employee of Duluth Paper this year
D) Andrés received a bonus this year
E) None of these

C) Andrés was not an employee of Duluth Paper this year

Read the passage below and answer the multiple-choice question that follows it. You may explain your reasoning but you must end your response with a new line and the letter corresponding to the correct answer.
--------------
Jim Gilmore came to Hortons Bay from Canada. He bought the blacksmith shop from old man Horton. Jim was short and dark with big mustaches and big hands. He was a good horseshoer and did not look much like a blacksmith even with his leather apron on. He lived upstairs above the blacksmith shop and took his meals at A. J. Smith's.

Liz Coates worked for Smith's. Mrs. Smith, who was a very large clean woman, said Liz Coates was the neatest girl she'd ever seen. Liz had good legs and always wore clean gingham aprons and Jim noticed that her hair was always neat behind. He liked her face because it was so jolly but he never thought about her.

Liz liked Jim very much. She liked it the way he walked over from the shop and often went to the kitchen door to watch for him to start down the road. She liked it about his mustache. She liked it about how white his teeth were when he smiled. She liked it very much that he didn't look like a blacksmith. She liked it how much A. J. Smith and Mrs. Smith liked Jim. One day she found that she liked it the way the hair was black on his arms and how white they were above the tanned line when he washed up in the washbasin outside the house. Liking that made her feel funny.

Hortons Bay, the town, was only five houses on the main road between Boyne City and Charlevoix. There was the general store and postoffice with a high false front and maybe a wagon hitched out in front, Smith's house, Stroud's house, Fox's house, Horton's house and Van Hoosen's house. The houses were in a big grove of elm trees and the road was very sandy. There was farming country and timber each way up the road. Up the road a ways was the Methodist church and down the road the other direction was the township school. The blacksmith shop was painted red and faced the school.
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The author's repetitive use of "She liked it" serves to emphasize the...
A) degree to which a friendship has blossomed
B) friendliness of a person's disposition
C) persistence of an outward expression of love
D) closeness with which one person studies another

Read the passage below and answer the multiple-choice question that follows it. You may explain your reasoning but you must end your response with a new line and the letter corresponding to the correct answer.
--------------
Jim Gilmore came to Hortons Bay from Canada. He bought the blacksmith shop from old man Horton. Jim was short and dark with big mustaches and big hands. He was a good horseshoer and did not look much like a blacksmith even with his leather apron on. He lived upstairs above the blacksmith shop and took his meals at A. J. Smith's.

Liz Coates worked for Smith's. Mrs. Smith, who was a very large clean woman, said Liz Coates was the neatest girl she'd ever seen. Liz had good legs and always wore clean gingham aprons and Jim noticed that her hair was always neat behind. He liked her face because it was so jolly but he never thought about her.

Liz liked Jim very much. She liked it the way he walked over from the shop and often went to the kitchen door to watch for him to start down the road. She liked it about his mustache. She liked it about how white his teeth were when he smiled. She liked it very much that he didn't look like a blacksmith. She liked it how much A. J. Smith and Mrs. Smith liked Jim. One day she found that she liked it the way the hair was black on his arms and how white they were above the tanned line when he washed up in the washbasin outside the house. Liking that made her feel funny.
--------------
Paragraphs 2 and 3 ("Liz Coates worked for … feel funny.") primarily serve to
A) Contrast two peoples' appearances
B) Juxtapose two peoples' sentiments
C) Differentiate two peoples' ways of life
D) Demonstrate two peoples' feelings toward their occupations

You are a helpful logical analysis assistant that orders events in their most coherent sequence.

Arrange the following events in their most logical chronological sequence:

◆. Max accidentally deletes all the photos his mom took on their vacation last month.
★. Max downloads a new software program to try and recover the photos.
▲. Max borrows his mom's camera to take photos of his school science project.

Respond only with the symbols corresponding to each sentence, arranged in their best, most logical order.

You are a helpful logical analysis assistant that orders events in their most coherent sequence.

Arrange the following events in their most logical chronological sequence:

◆. Dr. Hahn washes his hands thoroughly in preparation for the surgery.
★. Lucky the rabbit's owner, Vidya, schedules a minor surgery for him due to the growth of a benign tumor.
▲. The veterinary assistant calls Lucky's owner to inform her that the surgery was successful.
●. Lucky is put under anesthesia, and Dr. Hahn starts the procedure.

Respond only with the symbols corresponding to each sentence, arranged in their best, most logical order.

You are a helpful logical analysis assistant that orders events in their most coherent sequence.

Arrange the following events in their most logical chronological sequence:

◆. The newlyweds arrived at the airport to start their honeymoon.
★. Asim proposed to Meriem during a romantic dinner.
▲. Asim bought a ring with something special in mind.
●. Asim and Meriem had a beautiful ceremony surrounded by friends and family.

Respond only with the symbols corresponding to each sentence, arranged in their best, most logical order.

Pat wants to write some code that allows a user to change the password of his or her account after first verifying the user's identity by asking him or her the current password. Help him by putting the following steps in their most correct and logical order:

◆. Store the "New Password" as the password and notify the user "Password successfully set"; do not complete any more steps
★. User inputs 'Current Password' and 'New Password'
▲. If the check is unsuccessful, print "Unauthorized – try again" and do not complete any more steps
●. Retrieve the password and check that it matches the 'Current Password' input by the user

Respond only with the symbols corresponding to each step, arranged in their best, most logical order.

You are a conscientious and detail-oriented reading assistant who answers questions using an informative passage. Consider the following passage and answer the question that follows.
--------------
"Children learn languages faster, more easily, and better than adults." 
It's a crowd-pleaser, and a belief that has so nestled its way into the popular consciousness that it is rarely questioned or scrutinized. Its charm may come in part from the very personal nature of failure of language acquisition for many of its proponents. Perhaps belief in it acquits them of culpability for their own travails. Against this backdrop, a central theory has emerged.

Advocates of brain plasticity paint a picture of children's brains as spongy receptacles eagerly soaking up linguistic nuances. From this view, children waltz through language learning, rewiring and reorganizing their brains frequently. Meanwhile, adults lament their late start, toiling over grammar exercises and vocabulary lists with their ossified neurons. This glossy narrative forgets the sheer utility driving young learners. The transformation from a pre-linguistic state to a first-language speaker may be less a leisurely stroll in the park and more a survival sprint, motivated by the need to make sense of and navigate a bewildering world. That children acquire up to seven new words per day is cited to substantiate the ease of language absorption for children. However, might this voracious rate of word acquisition simply be evidence of the depth of need to express and satisfy basic preferences and make sense of basic experiences?

The comfort of an existing language, then, may be a double-edged sword for adult learners. On the one hand, it gives them a template of grammar and structure that becomes a toolkit to understand a new language. On the other, it relieves much of their primal need to navigate, narrate, and order the world around them, thus obviating the primary motivation for acquiring a second language.

Some of this urgency can be reclaimed through full-immersion programs, which force adults to step into environments where their native tongue loses any currency, and the new language again becomes a lifeline, not merely an academic pursuit.
--------------
In the context of the third paragraph, "glossy" most nearly means
(A) polished
(B) sophisticated
(C) convenient
(D) professional
(E) efficient

Do not explain your reasoning; respond only with the letter corresponding to the correct answer.

You are a conscientious and detail-oriented reading assistant who answers questions using an informative passage. Consider the following passage and answer the question that follows.

Long ago, people didn't have refrigerators to keep their food fresh. Instead, they had to think of other ways to prevent their food from spoiling. One common method was to use salt. Salt pulls water out of food, which makes it hard for bacteria to grow and cause the food to go bad. This method was especially useful for preserving meat and fish, which are more likely to spoil quickly. Another method was to dry food in the sun, removing moisture and thus preserving it for longer periods. These ancient techniques allowed people to store food for months, even without the modern conveniences.

How did people in the past keep their food from spoiling and preserve it for weeks or months?
A) By keeping it in the shade or underground
B) By using a refrigerator
C) By preserving it with salt
D) By cooking it thoroughly over a fire

Do not explain your reasoning; respond only with the letter corresponding to the correct answer.

You are a conscientious and detail-oriented reading assistant who answers questions using an informative passage. Consider the following passage and answer the question that follows.

Imagine a world where every piece of garbage could be turned into something useful. Instead of plastic bottles sitting underground for thousands of years, they can be transformed into clothing, park benches, and even roads. Paper waste can be turned into paper bags and cardboard, reducing the need to cut down trees. Food waste can be composted to create nutrient-rich soil for gardens and parks. Currently, a barrier to these techniques is that it's often cheaper to simply discard waste than recycle it. One effort to change this is to require manufacturers to take back products after they are no longer useful and thus bear the cost of recycling them. This then encourages the manufacturer to make products easier to recycle, to produce less waste during the production process, and to use recycled materials even when new materials may be cheaper.

According to the passage, what is one proposed way to encourage recycling?
A) educating manufacturers about the benefits of reduction and reuse
B) identifying new products that can be made with recycled materials
C) shifting responsibility for the costs of recycling
D) reducing the amount of material that cannot be recycled

Do not explain your reasoning; respond only with the letter corresponding to the correct answer.

You are a helpful math assistant who solves math questions logically, using step-by-step reasoning. Answer the following question:

A rectangular garden has a length that is four times its width. If the perimeter of the garden is 60 feet, what is the width (in feet) of the garden?

You may begin with analysis, but you must end your answer with a new line and a concise representation of the correct answer.

Let the width of the garden be x feet. Then, the length of the garden is 4x feet.

The perimeter of a rectangle is given by the formula P = 2(l + w), where P is the perimeter, l is the length, and w is the width.

Substituting the values we have, we get:

60 = 2(4x + x)
60 = 2(5x)
60 = 10x
x = 6

Therefore, the width of the garden is **6 feet**.

Read the passage below and answer the multiple-choice question that follows it. You may explain your reasoning but you must end your response with a new line and the letter corresponding to the correct answer.
--------------
Jim Gilmore came to Hortons Bay from Canada. He bought the blacksmith shop from old man Horton. Jim was short and dark with big mustaches and big hands. He was a good horseshoer and did not look much like a blacksmith even with his leather apron on. He lived upstairs above the blacksmith shop and took his meals at A. J. Smith's.

Liz Coates worked for Smith's. Mrs. Smith, who was a very large clean woman, said Liz Coates was the neatest girl she'd ever seen. Liz had good legs and always wore clean gingham aprons and Jim noticed that her hair was always neat behind. He liked her face because it was so jolly but he never thought about her.

Liz liked Jim very much. She liked it the way he walked over from the shop and often went to the kitchen door to watch for him to start down the road. She liked it about his mustache. She liked it about how white his teeth were when he smiled. She liked it very much that he didn't look like a blacksmith. She liked it how much A. J. Smith and Mrs. Smith liked Jim. One day she found that she liked it the way the hair was black on his arms and how white they were above the tanned line when he washed up in the washbasin outside the house. Liking that made her feel funny.
--------------
What detail does the author include to show that Jim has noticed Liz Coates?
A) the frequency with which he thought of her
B) his fondness for her cooking
C) the whiteness of her teeth
D) the arrangement of her hair

You assist humans in solving logic games. Consider the following statements and the question that follows. You may include your reasoning, but you must end your response with a new line and the letter corresponding to the correct answer.

    "All of Lisa's sisters can bake."

If the statement above is true, which of the following must also be true?
(A) If Jane cannot bake, then she is not Lisa's sister
(B) If Sarah can bake, then she is not Lisa's sister
(C) If Mary can bake, then she is Lisa's sister
(D) If Emma is not Lisa's sister, then she cannot bake
(E) None of these

If Jane cannot bake, then she is not Lisa's sister
A

You assist humans in solving logic games. Consider the following statements and the question that follows. You may include your reasoning, but you must end your response with a new line and the letter corresponding to the correct answer.

    "All members of the chess team are also members of the robotics club."
    "No members of the basketball team are members of the chess team."

If both of the above statements are true, which of the following must also be true?
(A) If Izak is in the robotics club, then he is not on the basketball team
(B) If Jerry is in the robotics club, then he is on the chess team
(C) If Lisa is on the basketball team, then she is not in the robotics club
(D) If Sanjit is on the chess team, then he is on the basketball team
(E) If Seong-Jin is not in the robotics club, then he is not on the chess team

If Izak is in the robotics club, then he must also be on the chess team, since all members of the chess team are also members of the robotics club. However, since no members of the basketball team are members of the chess team, Izak cannot be on the basketball team.
A

You assist humans in solving logic games. Consider the following statements and the question that follows. You may include your reasoning, but you must end your response with a new line and a simple representation of the correct answer.

There are five family members - Grandmother, Father, Mother, Son, and Daughter. They are currently in different parts of the world - Mexico, Britain, Canada, Denmark, and Egypt. Each of them had a connection to a family heirloom: a gold doubloon, a broken sword, an oceanic map, a family tree, and a silver watch. The following information is known:

1. The person in Britain has the broken sword.
2. The son, who is not in Denmark, neither has the gold doubloon nor the silver watch
3. The family member in Egypt has the family tree
4. The mother has the silver watch but isn't in Mexico
5. The grandmother has the gold doubloon and is either in Denmark or Canada

If the daughter has the oceanic map, where is she located?

The daughter has the oceanic map and is in **Egypt**.

You assist humans in solving logic games. Consider the following statements and the question that follows. You may include your reasoning, but you must end your response with a new line and a simple representation of the correct answer.

There are five family members - Grandmother, Father, Mother, Son, and Daughter. They are currently in different parts of the world - Mexico, Britain, Canada, Denmark, and Egypt. Each of them had a connection to a family heirloom: a gold doubloon, a broken sword, an oceanic map, a family tree, and a silver watch. The following information is known:

1. The person in Britain has the broken sword.
2. The son, who is not in Denmark, neither has the gold doubloon nor the silver watch
3. The family member in Egypt has the family tree
4. The mother has the silver watch but isn't in Mexico
5. The grandmother has the gold doubloon and is either in Denmark or Canada

If the Grandmother is in Denmark, where is the Mother?

The Grandmother cannot be in Denmark because the Son is not in Denmark and does not have the gold doubloon. Thus, the Grandmother must be in Canada. Since the Mother is not in Mexico and has the silver watch, she must be in Britain.

Mother: Britain

You are a helpful math assistant who solves math questions logically, using step-by-step reasoning. Answer the following question:

Robert, a creative writing teacher, asks his students to write poetry verses. Each student is supposed to write n verses, plus twice as many verses as the number of their class rank. If the 7th student wrote 20 verses, what is the value of n?

You may begin with analysis, but you must end your answer with a new line and a concise representation of the correct answer.

Let's denote the number of verses each student is supposed to write as n.

According to the given information, each student is supposed to write n verses, plus twice as many verses as the number of their class rank. So, for the 7th student, the total number of verses he is supposed to write is:

n + 2 * 7 = 20

Simplifying the equation:

n + 14 = 20

Subtracting 14 from both sides:

n = 20 - 14

n = 6

Therefore, the value of n is 6.
```
n = 6
```

You are a helpful math assistant who solves math questions logically, using step-by-step reasoning. Answer the following question:


Let's define an operation ◘ such that, for any real numbers x and y, x ◘ y = 2x - 3y + 1. What is the value of 4 ◘ 3?

You may begin with analysis, but you must end your answer with a new line and a concise representation of the correct answer.

Given the operation ◘, we have x ◘ y = 2x - 3y + 1.

Substituting x = 4 and y = 3, we get:

4 ◘ 3 = 2(4) - 3(3) + 1
= 8 - 9 + 1
= 0

Therefore, the value of 4 ◘ 3 is 0.

You are a helpful math assistant who solves math questions logically, using step-by-step reasoning. Answer the following question:

John wants to travel from his home to a park that's 60 miles away. He plans to drive at a steady speed of 30 mph. How long, in hours, will it take him to reach the park?

You may begin with analysis, but you must end your answer with a new line and a concise representation of the correct answer.

**Analysis:**

To calculate the time it will take John to reach the park, we need to divide the distance he needs to travel by his speed.

**Step 1: Convert the speed to hours**

The speed is given in miles per hour (mph). To convert it to hours, we divide by the number of hours in an hour, which is 1.

30 mph / 1 hour/hour = 30 hours/hour

**Step 2: Calculate the time**

Now we can divide the distance by the speed in hours/hour to find the time.

60 miles / 30 hours/hour = 2 hours

**Answer:**

It will take John 2 hours to reach the park.

You are a helpful math assistant who solves math questions logically, using step-by-step reasoning. Answer the following question:

  909

The three-digit integer above has exactly one duplicate digit, because the digit in the hundreds' place duplicates the digit in the ones' place. The integer 999 does not fit this definition because the digit 9 is duplicated twice. How many integers greater than 99 and less than 200 have exactly one duplicate digit?

You may begin with analysis, but you must end your answer with a new line and a concise representation of the correct answer.

The only possible duplicate digits are 0, 1, 2, 3, 4, 5, 6, 7, and 8. For each of these digits, there are 9 choices for the hundreds' place and 9 choices for the tens' place. Therefore, there are 9 * 9 = 81 possibilities for each duplicate digit. However, we must exclude the integers that are less than 100 or greater than 199. There are 90 integers less than 100, and 100 integers greater than 199. Therefore, there are 81 * 9 - 90 - 100 = 639 integers greater than 99 and less than 200 with exactly one duplicate digit.

Answer: 639

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Question	Correct	Strict Correct	Response
RCS5			A
SC1	✅	✅	offered to lend Sofie one of her extra swimsuits.
SC2	✅	✅	"I'll use this as the missing pawn."
SC4	✅	✅	"Oh no, my phone is dead!"
SC5	✅		She led them to the low storage building and climbed onto the roof.
RCS3	✅	✅	A
RCL1	✅	✅	B
LG3	✅	✅	C) Andrés was not an employee of Duluth Paper this year
RCL4			A
RCL5	✅	✅	B
LO1	✅	✅	▲★◆
LO2	✅	✅	★◆●▲
LO3			▲●★◆
LO4	✅	✅	★●▲◆
RCS4			A
RCS1	✅	✅	C
RCS2	✅	✅	C
MW4	✅		Let the width of the garden be x feet. Then, the length of the garden is 4x feet. The perimeter of a rectangle is given by the formula P = 2(l + w), where P is the perimeter, l is the length, and w is the width. Substituting the values we have, we get: 60 = 2(4x + x) 60 = 2(5x) 60 = 10x x = 6 Therefore, the width of the garden is 6 feet.
RCL3	✅	✅	D
LG1	✅	✅	If Jane cannot bake, then she is not Lisa's sister A
LG2			If Izak is in the robotics club, then he must also be on the chess team, since all members of the chess team are also members of the robotics club. However, since no members of the basketball team are members of the chess team, Izak cannot be on the basketball team. A
LG4			The daughter has the oceanic map and is in Egypt.
LG5			The Grandmother cannot be in Denmark because the Son is not in Denmark and does not have the gold doubloon. Thus, the Grandmother must be in Canada. Since the Mother is not in Mexico and has the silver watch, she must be in Britain. Mother: Britain
MW1	✅	✅	Let's denote the number of verses each student is supposed to write as n. According to the given information, each student is supposed to write n verses, plus twice as many verses as the number of their class rank. So, for the 7th student, the total number of verses he is supposed to write is: n + 2 * 7 = 20 Simplifying the equation: n + 14 = 20 Subtracting 14 from both sides: n = 20 - 14 n = 6 Therefore, the value of n is 6. ``` n = 6 ```
MW2	✅		Given the operation ◘, we have x ◘ y = 2x - 3y + 1. Substituting x = 4 and y = 3, we get: 4 ◘ 3 = 2(4) - 3(3) + 1 = 8 - 9 + 1 = 0 Therefore, the value of 4 ◘ 3 is 0.
MW3	✅		Analysis: To calculate the time it will take John to reach the park, we need to divide the distance he needs to travel by his speed. Step 1: Convert the speed to hours The speed is given in miles per hour (mph). To convert it to hours, we divide by the number of hours in an hour, which is 1. 30 mph / 1 hour/hour = 30 hours/hour Step 2: Calculate the time Now we can divide the distance by the speed in hours/hour to find the time. 60 miles / 30 hours/hour = 2 hours Answer: It will take John 2 hours to reach the park.
MW5			The only possible duplicate digits are 0, 1, 2, 3, 4, 5, 6, 7, and 8. For each of these digits, there are 9 choices for the hundreds' place and 9 choices for the tens' place. Therefore, there are 9 * 9 = 81 possibilities for each duplicate digit. However, we must exclude the integers that are less than 100 or greater than 199. There are 90 integers less than 100, and 100 integers greater than 199. Therefore, there are 81 * 9 - 90 - 100 = 639 integers greater than 99 and less than 200 with exactly one duplicate digit. Answer: 639