Answer:
It swims 1.75 miles in 3.5 hours. X stands for hours so x=3.5. Y stands for miles so y=1.75.
Step-by-step explanation:
your equation is y=0.5x
we know x=3.5
so y= 0.5(3.5)
solve and you get y= 1.75
so in (x,y) intercept format (3.5,1.75) and you can make a graph and label your x intercepts hours and your y intercepts miles traveled.
The given geometric sequence has the common ratio, <u>r = -2/3</u>, and the value of the 4th term, <u>a₄ = -8/3</u>.
A geometric sequence is a special series where every term is the product of the previous term and a common ratio.
The first term of a geometric sequence is represented as a, the common ratio as r, and the n-th term as aₙ, which is calculated as, aₙ = a.rⁿ⁻¹.
In the question, we are asked to find the common ratio and the 4th term of the geometric sequence, 9, -6, 4, ........
The first term of the sequence, a = 9.
The second term of the sequence, a₂ = -6.
By the formula of the n-th term, aₙ = a.rⁿ⁻¹, we can show that:
a₂ = a.r²⁻¹.
Substituting the values, we get:
-6 = 9(r²⁻¹),
or, r²⁻¹ = -6/9,
or, r = -2/3.
Thus, the common ratio of the given geometric sequence is <u>-2/3</u>.
The 4th term can be calculated using the formula of the n-th term, aₙ = a.rⁿ⁻¹ as:
a₄ = a.r⁴⁻¹ = a.r³.
Substituting the values, we get:
a₄ = 9(-2/3)³,
or, a₄ = 9.(-8/27),
or, a₄ = -8/3.
Thus, the 4th term of the given geometric sequence is <u>-8/3</u>.
Learn more about a geometric sequence at
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Answer:
59
Step-by-step explanation:
You will multiple them all 5*5=25,4*4=16,6*3=18 then add 25+16+18=59
Answer:
Step-by-step explanation:
Consider the sides of the 2 triangles formed by drawing the diagonal.
The adjacent sides either side of the right angle in one triangle are congruent (to the adjacent sides of the other ( definition of a square).
The diagonal is common to both triangles.
So the triangles are congruent by SSS.
Sir George Sansom’s history of Japan was first published in 1932 and used in U.S. college classrooms into the 1980s. In it, he described the Tokugawa period (1603-1868) as an era of oppressive “feudal” rule. In this view, hierarchical divisions between samurai, peasant, artisan, and merchant were strictly maintained. Sansom described a system in which swaggering samurai used their swords to cut down commoners. Miserable peasants barely eked out a living, and urban merchants were scorned as unethical profiteers. According to Sansom, change was loathed. The government kept the rest of the world out, denying “themselves all the gifts which the West then had to offer.” This move, said Sansom, “arrested the cultural development of Japan” (Sansom 1932, 455, 457).
Scholars today largely dismiss this view. Yet it remains pervasive. Films and mangacomics glorify samurai bravado. But they ignore much else about the period. Thus, even the well-informed often are surprised when they read more recent histories of the period. Such newer works describe the political system as a rational “integral bureaucracy.” This system was “not merely a samurai institution.” Rather, it depended on non-elite “commercial agents and activities” (Totman 1981, p. 133). Newer histories call the era “a time of extraordinary social growth and change. In terms of population and production, urbanization and commercialization, and societal sophistication and elaboration, the century was one of unparalleled development.”
What should readers make of these discrepancies? What do teachers and students really need to know about the Tokugawa period? This brief essay addresses these questions by (1) sketching the outline of Tokugawa history, touching on politics, economics, society, and culture; (2) introducing some historical debates regarding the Tokugawa period; and (3) giving references for further reading on important topics.
The Tokugawa Political Settlement
The first Tokugawa shogun was Tokugawa Ieyasu (1542-1616). He came of age in an era of violence and conflict. During the Warring States period (c.1467-1590), centralized political authority—the imperial court and the military government (shogunate, or bakufu)—had lost its effectiveness. Practical political power had passed into the hands of approximately 200 local warlords, or daimyō. The daimyō controlled their own territories. These territories were called domains. By the end of the period, some daimyōhad become extremely powerful. Each commanded large swaths of territory and tens of thousands of warriors.
One such leader was Oda Nobunaga (1534-82). Nobunaga was a daimyō from the province of Owari in central Honshu. Using strategic alliances and brutal military tactics, Nobunaga brought about one-third of the country under his control. When he was assassinated in 1582, his most able general, Toyotomi Hideyoshi (1536-98), took his place. Hideyoshi was a brilliant military and political tactician. His talent and ambition had allowed him to rise from a humble peasant background. Building on Nobunaga’s achievements, Hideyoshi brought all of Japan under his control by about 1590.
Two problems marked Hideyoshi’s later years. One was his growing belief that his power was unlimited. This megalomania was reflected in unsuccessful attempts to invade Korea and China. The second problem was his difficulty in producing an heir. At his death in 1597, he had only one infant son. He entrusted his son’s fate to five trusted allies. Each swore to protect the heir and help ensure the Toyotomi clan’s future. Among these allies was Tokugawa Ieyasu. Ieyasu controlled significant territory in northeastern Honshu. Ieyasu’s castle headquarters was located in the city of Edo (now Tokyo). Hideyoshi had been dead scarcely three years when Ieyasu turned on his former lord. In 1600, his forces defeated the Toyotomi. In 1603, Ieyasu established a new shogunate in his family’s name. He went to war once again in 1615 to completely wipe out the Toyotomi and their allies. From then on, the Tokugawa maintained political authority for 253 years without resorting to military combat.
The primary , and foresight characteristic of Tokugawa political rule. In its policies, the shogunate was careful to balance demands on daimyō with privileges granted to them. For example, the shogunate never directly taxed the daimyō. Instead, it exercised indirect levies such as requiring daimyō to supply labor and raw materials for the