A water tank is draining. The volume of the water in the tank, in gallons, is a linear function of the amount of time it has been draining, in hours. It can be modeled using the equation V (t) = –12. 8t + 685, where V is the volume and t is the time. Explain what the values -12. 8 and 685 mean in the context of this problem. Be sure to use units in your response. ​

Answers

Answer 1

In the given equation V(t) = -12.8t + 685, the value -12.8 represents the rate at which the volume of water in the tank is decreasing per hour. The value 685 represents the initial volume of water in the tank when the draining process started.

In the equation V(t) = -12.8t + 685, the coefficient -12.8 indicates the rate of change of the volume with respect to time. It represents the slope of the linear function, indicating that the volume of water is decreasing by 12.8 gallons per hour. This negative value indicates that the volume is decreasing over time as the tank is draining.

The constant term 685 represents the initial volume of water in the tank when the draining process began. It indicates the volume of water in the tank at t = 0 hours. In this case, it implies that at the start of the draining process, the tank contained 685 gallons of water.

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Related Questions

The screens show two sound waves


that last the same amount of time. Which wave


has a higher frequency? Explain your answer.

Answers

the wave with a higher frequency is the one that shows the shortest distance between each crest or trough, and the amount of time that a sound wave lasts does not determine its frequency.

The wave with the higher frequency is the one that shows the shorter distance between each crest or trough. The frequency of a wave is the number of oscillations it makes in one second and is measured in hertz (Hz).A wave with a higher frequency makes more oscillations in one second than a wave with a lower frequency. The amount of time that a sound wave lasts does not determine its frequency. Therefore, it's possible for two sound waves to last the same amount of time but have different frequencies.

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Why did some companies abandon their construction projects during the land bust?



Changed their minds about the projects



Could not afford to continue



Found better land elsewhere



Other companies bought their land

Answers

During the land bust, some companies abandoned their construction projects due to financial constraints, changes in plans, and the availability of better land elsewhere. Other companies took advantage of the situation and purchased the abandoned land.

The land bust refers to a period of economic downturn characterized by a significant decrease in land prices and a decline in real estate investment. During this time, some companies faced financial difficulties and could not afford to continue their construction projects. The economic downturn and decreased demand for properties may have made the projects financially unviable, leading these companies to abandon their plans.

In other cases, companies may have changed their minds about the projects due to various reasons such as shifts in market conditions, changes in business strategies, or reassessment of potential returns on investment. These changes in plans could have resulted in the abandonment of construction projects.

Additionally, during the land bust, some companies may have found better land opportunities elsewhere. The decline in land prices may have made it more attractive for companies to explore alternative locations that offered more favorable conditions for their projects.

Furthermore, the abandoned land left by companies may have presented opportunities for other companies to acquire the properties at reduced prices. This could have led to the acquisition of abandoned construction projects by different companies, allowing them to take advantage of the available assets and potentially revive or repurpose the projects.

Overall, the reasons for companies abandoning their construction projects during the land bust can be attributed to financial constraints, changes in plans, the availability of better land opportunities, and the subsequent acquisition of abandoned properties by other companies.

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In pea plants, purple flower color, C, is dominant to white flower color, c. The table shows the frequencies of the dominant and recessive alleles in three generations of peas in a garden. Allele Frequency for Flower Color in Peas Generation p q 1 0. 60 0. 40 2 0. 64 0. 36 3 0. 75 0. 25 4 0. 80 0. 20 Which generation showed the greatest frequency of having one of each allele? generation 1 generation 2 generation 3 generation 4.

Answers

The generation that showed the greatest frequency of having one of each allele is generation 3.

In the given table, the frequency of the dominant allele (p) and the recessive allele (q) is provided for each generation. The frequency of having one of each allele can be calculated by multiplying the frequencies of the dominant and recessive alleles.

In generation 1, the frequency of having one of each allele is 0.60 * 0.40 = 0.24.

In generation 2, the frequency is 0.64 * 0.36 = 0.23.

In generation 3, the frequency is 0.75 * 0.25 = 0.1875.

In generation 4, the frequency is 0.80 * 0.20 = 0.16.

Therefore, generation 3 has the greatest frequency of having one of each allele, with a frequency of 0.1875.

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Which part of Pakicetus anatomy most suggests that it is an ancestor of whales?



OPTIONS



Eyes near the top of the head





Ears adapted partly for hearing underwater





Teeth consistent with a carnivorous diet





Four legs

Answers

The part of Pakicetus anatomy that most suggest it is an ancestor of whales is ears adapted partly for hearing underwater.

Pakicetus is an extinct early mammal believed to be closely related to the ancestral line of whales. One of the key pieces of evidence supporting this relationship is the structure of its ears. Pakicetus had specialized ear bones that show adaptations for hearing underwater.

The ear structure of Pakicetus contains a specialized bone known as the involucrum, which is similar to the ear bones found in modern whales. The involucrum is thickened and dense, indicating adaptations for underwater hearing. This adaptation suggests that Pakicetus and its descendants gradually transitioned to an aquatic lifestyle and relied on hearing underwater, a feature that is prominent in modern whales.

While other options, such as eyes near the top of the head and teeth consistent with a carnivorous diet, may also be present in whales, it is the presence of ears adapted for hearing underwater that provides strong evidence of the evolutionary link between Pakicetus and the ancestors of whales.

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We can predict that the flow of water in xylem of C3 plants is greatest during __________, in C4 plants during ____________, and in CAM plants during _____________

Answers

We can predict that the flow of water in the xylem of C3 plants is greatest during the daytime, in C4 plants during the daytime, and in CAM plants during the nighttime.

C3 plants, such as most trees and crops, follow the Calvin cycle for photosynthesis. During the daytime, when there is sufficient light, the stomata of C3 plants open to allow carbon dioxide uptake for photosynthesis. This process, known as transpiration, leads to water loss from the leaves and creates a negative pressure that promotes the flow of water through the xylem.

C4 plants, including certain grasses and maize, have a specialized carbon fixation pathway that helps reduce water loss. They have adapted mechanisms to concentrate carbon dioxide around the enzyme Rubisco, reducing the need for stomatal opening. Consequently, the flow of water in the xylem of C4 plants is highest during daytime when the stomata are partially closed.

CAM (Crassulacean Acid Metabolism) plants, such as succulents and cacti, have evolved a unique adaptation to reduce water loss. They open their stomata at night, taking in carbon dioxide and storing it in the form of organic acids. During the daytime, the stomata are closed to minimize water loss in arid conditions. Therefore, the flow of water in the xylem of CAM plants is greatest during nighttime when the stomata are open.

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Think about "No Driver? No Problem!" What is meant by "real-time adjustments"?

Answers

In the context of "No Driver? No Problem!" the phrase "real-time adjustments" refers to the ability of an autonomous vehicle or system to make immediate and dynamic changes based on real-time information and feedback from its surroundings.

It means that the vehicle can continuously analyze and respond to the current conditions, such as road conditions, traffic patterns, and obstacles, in order to navigate safely and efficiently. Real-time adjustments involve using sensors, algorithms, and artificial intelligence to interpret data and make instant decisions, allowing the autonomous system to adapt and optimize its actions in real-time without human autonomous .

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