Math and Arithmetic

The sum of ( a ) and ( c ) can be expressed simply as ( a + c ). This notation represents the addition of the two variables ( a ) and ( c ) together.

Several everyday objects measure approximately 1 meter in length, including a standard baseball bat, a guitar, and a yardstick. A typical adult's stride is also about 1 meter, making it a useful reference for measuring distance. Additionally, many types of rulers and measuring tapes are designed with a 1-meter mark for convenience in various tasks.

To find how many sixes are in 35, you divide 35 by 6. The result is 5 with a remainder of 5, meaning there are 5 complete sixes in 35. Therefore, the answer is 5 sixes.

A line graph would be the best choice for displaying a runner's speed throughout a race. This type of graph allows for clear visualization of changes in speed over time, showing trends and fluctuations effectively. The x-axis can represent time, while the y-axis represents speed, making it easy to see how the runner's pace varies during the race. Additionally, line graphs can illustrate multiple segments or laps, providing a comprehensive view of performance.

"Silken-sail'd" is a descriptive phrase often used in poetry and literature to evoke a sense of grace and elegance. It typically refers to a ship or vessel that has sails made of silk or that appear smooth and delicate, suggesting beauty and a gentle, serene movement through water. This imagery can also symbolize luxuriousness and tranquility, enhancing the overall aesthetic of a scene.

To find the line of best fit for the given data, typically a linear regression analysis is performed, resulting in an equation of the form ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept. Once the equation is determined, you can substitute ( x = 3.8 ) into this equation to predict the corresponding value of ( y ). If you provide the specific data from the table, I can help you calculate the line of best fit and the prediction.

0.0048 cents is a very small monetary amount, equivalent to 0.000048 dollars. It can also be expressed as 48 ten-thousandths of a cent. In practical terms, this amount is negligible and would not be used in typical transactions.

An example of "surprisingly" could be a scenario where a student who usually struggles in math suddenly aces a difficult exam. This unexpected achievement may surprise their teachers and classmates, showcasing a hidden talent or newfound understanding. Such moments remind us that people can exceed expectations in unexpected ways.

No, six eighths (6/8) is not greater than four fourths (4/4). In fact, six eighths simplifies to three fourths (3/4), which is less than four fourths, equal to one. Thus, 6/8 is less than 4/4.

To find the number of permutations of the letters a, b, and c taken three at a time, we use the formula for permutations, which is ( n! / (n - r)! ), where ( n ) is the total number of items, and ( r ) is the number of items to arrange. Here, ( n = 3 ) (the letters a, b, and c) and ( r = 3 ). Thus, the calculation is ( 3! / (3 - 3)! = 3! / 0! = 6 / 1 = 6 ). Therefore, there are 6 permutations: abc, acb, bac, bca, cab, and cba.

Values greater than 0.5 include any number that is larger than 0.5, such as 0.51, 1, 2, 3.5, and so on. This range includes fractions, decimals, and whole numbers that exceed 0.5. Essentially, any value in the interval (0.5, ∞) is considered greater than 0.5.

A clean install on a G5 Power Mac involves erasing the hard drive and reinstalling the operating system from scratch, which removes all existing data, applications, and settings. This process helps improve performance by eliminating accumulated clutter and potential software issues. It also allows the user to start fresh with a new, uncorrupted system, often solving persistent problems. However, it is crucial to back up any important data before proceeding with a clean install, as all information on the hard drive will be lost.

Mr. Bucket, a character from the children's book "Charlie and the Chocolate Factory" by Roald Dahl, lives in a small, cramped house on the edge of a city with his wife and their children. The family's living conditions are modest, reflecting their struggles and financial challenges. The house is located near Willy Wonka's mysterious chocolate factory, which adds to the story's magical elements.

To find Mr. Hoffman's average velocity, we first calculate the total distance and total time. He drove 10 miles to school and 10 miles home, totaling 20 miles. The total time taken was 20 minutes to school plus 30 minutes home, which is 50 minutes or 50/60 hours (approximately 0.833 hours). The average velocity is then total distance divided by total time: 20 miles / 0.833 hours ≈ 24 mph, which is approximately 10.7 m/s.

Subli is a traditional Filipino dish made from a mixture of rice flour, sugar, and coconut milk, often flavored with vanilla or pandan. It is typically steamed and can be served as a snack or dessert, often topped with grated coconut or latik (coconut curds). The dish is known for its soft, chewy texture and sweet flavor, making it a popular treat in various regions of the Philippines.

The root of the word "strained" is "strain," which comes from the Latin word "stringere," meaning "to draw tight." In English, "strain" can refer to exerting force, causing tension, or experiencing stress. The suffix "-ed" indicates that it is in the past tense or describes a condition resulting from the action. Thus, "strained" typically describes something that has been subjected to tension or stress.

Strictly speaking no - the liter is a non-SI unit. However it is very widely accepted being equivalent to a dm3.

So the m3 is the official SI unit of volume and other derivations of it e.g. mm3 which is equivalent to the ml - or milliliter. The m3 is such a large unit that liters are very often used and totally accepted.

Yes, similarity is symmetric. If one object is similar to another, then the second object is also similar to the first. This property holds true in various contexts, including geometric figures and other mathematical constructs, where the relationship of similarity does not depend on the order of the objects being compared.

A reasonable number typically refers to a value that is sensible, practical, and appropriate within a given context. It can vary based on the situation, such as budget limits, statistical data, or personal expectations. For example, a reasonable number of attendees for a small meeting might be between 5 to 10 people, while a reasonable budget for a modest vacation could range from $1,000 to $2,500, depending on various factors. Ultimately, it reflects what is achievable and rational given the circumstances.

A situation that can be modeled using a linear inequality of two variables typically involves constraints that limit possible outcomes based on specific conditions. For example, if you are planning a budget for an event, you might have constraints on spending for food and decorations. The relationship between these two expenses can be expressed as a linear inequality, where the total spending must not exceed a certain amount. This allows you to visualize and determine feasible combinations of expenses on a graph.

The expression "56 as an exponent" typically refers to ( 5^6 ) or ( 6^5 ), depending on the context. If we consider ( 5^6 ), it equals 15,625. Conversely, if we consider ( 6^5 ), it equals 7,776. Without additional context, it's unclear which exponentiation is intended.

Lord Durham's successor was Lord John Russell, who became the Governor General of the Province of Canada in 1838 after Durham's resignation. Russell's administration was marked by the implementation of some of Durham's recommendations, including the push for responsible government, but he faced numerous challenges in addressing the political and social unrest in the colony.

The price of money in the United Kingdom changed to pounds and pennies with the introduction of the pound sterling in the 8th century, during the reign of King Offa of Mercia. The system was further standardized in the 14th century, specifically with the establishment of the "pound" as a unit of account and the division of the pound into 20 shillings, each consisting of 12 pennies. This system remained in place until decimalization in 1971, when the pound was redefined as 100 new pence.

To determine how many bags of fertilizer are needed for a lawn that is 410 feet by 65 feet, first calculate the area of the lawn: 410 feet × 65 feet = 26,650 square feet. If one bag covers 2,500 square feet, divide the total area by the coverage per bag: 26,650 ÷ 2,500 = 10.66. Since you can't purchase a fraction of a bag, you'll need to round up to 11 bags of fertilizer to cover the entire lawn.

The three Axis figures during World War II were Adolf Hitler, the leader of Nazi Germany; Benito Mussolini, the Prime Minister of Italy; and Emperor Hirohito of Japan. These leaders formed the core of the Axis Powers, which opposed the Allied nations. Their alliance was characterized by militaristic expansion and totalitarian governance, leading to significant global conflict and devastation during the war.