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ACT Exam  >  ACT Questions  >  953= __________ (calculate without direct cal... Start Learning for Free
953 = __________ (calculate without direct calculation).
  • a)
    856395
  • b)
    857625
  • c)
    857375
  • d)
    852395
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
953= __________ (calculate without direct calculation).a)856395b)85762...
We know that (x - y)3 = x3 – y3 – 3 xy (x - y).
953 can also be written as (100-5)3
Therefore, 953 = (100 - 5)3 = (100)3 – (5)3 – 3(100)(5)(100-5)
= 1000000 – 125 – 1500(95)
= 1000000 – 125 – 142500
= 857375.
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Most Upvoted Answer
953= __________ (calculate without direct calculation).a)856395b)85762...
We know that (x - y)3 = x3 – y3 – 3 xy (x - y).
953 can also be written as (100-5)3
Therefore, 953 = (100 - 5)3 = (100)3 – (5)3 – 3(100)(5)(100-5)
= 1000000 – 125 – 1500(95)
= 1000000 – 125 – 142500
= 857375.
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Community Answer
953= __________ (calculate without direct calculation).a)856395b)85762...
We know that (x - y)3 = x3 – y3 – 3 xy (x - y).
953 can also be written as (100-5)3
Therefore, 953 = (100 - 5)3 = (100)3 – (5)3 – 3(100)(5)(100-5)
= 1000000 – 125 – 1500(95)
= 1000000 – 125 – 142500
= 857375.
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Adapted fromWaldenby Henry Thoreau (1854)Still we live meanly, like ants; it is error upon error, and clout upon clout, and our best virtue has for its occasion a superfluous and evitable wretchedness. Our life is frittered away by detail. An honest man has hardly need to count more than his ten fingers, or in extreme cases he may add his ten toes, and lump the rest. Simplicity, simplicity, simplicity! I say, let your affairs be as two or three, and not a hundred or a thousand; instead of a million count half a dozen, and keep your accounts on your thumbnail. In the midst of this chopping sea of civilized life, such are the clouds and storms and quicksands and thousand-and-one items to be allowed for, that a man has to live, if he would not founder and go to the bottom and not make his port at all, by dead reckoning, and he must be a great calculator indeed who succeeds. Simplify, simplify. Instead of three meals a day, if it be necessary eat but one; instead of a hundred dishes, five; and reduce other things in proportion.Our life is like a German Confederacy, made up of petty states, with its boundary forever fluctuating, so that even a German cannot tell you how it is bounded at any moment. The nation itself, with all its so-called internal improvements, which, by the way are all external and superficial, is just such an unwieldy and overgrown establishment, cluttered with furniture and tripped up by its own traps, ruined by luxury and heedless expense, by want of calculation and a worthy aim, as the million households in the land; and the only cure for it, as for them, is in a rigid economy, a stern and more than Spartan simplicity of life and elevation of purpose. It lives too fast. Men think that it is essential that the Nation have commerce, and export ice, and talk through a telegraph, and ride thirty miles an hour, without a doubt, whether they do or not, but whether we should live like baboons or like men is a little uncertain. If we do not get out sleepers, and forge rails, and devote days and nights to the work, but go to tinkering upon our lives to improve them, who will build railroads? And if railroads are not built, how shall we get to heaven in season? But if we stay at home and mind our business, who will want railroads? We do not ride on the railroad; it rides upon us. Did you ever think what those sleepers are that underlie the railroad? Each one is a man, an Irishman, or a Yankee man. The rails are laid on them, and they are covered with sand, and the cars run smoothly over them. They are sound sleepers, I assure you.Q. The author thinks that contemporary life in the United States is too__________.

A student was interested in determining the relationship between the current, voltage, and resistance in a direct circuit, such as those exemplified by batteries connected to light bulbs. The student built the circuit presented in Figure 1 using a 2 ohm resistor.The current that flows through the circuit can be calculated using the equation V=IR, where V is the voltage of the battery, I is the current flowing through the circuit, and R is the resistance of the resistor.The student used a 2 ohm resistor and batteries of various voltages to obtain the results in Table 1. The currents shown in the table are NOT calculated using the formula V=IR, but instead directly measured from the circuit using an ammeter. It is important to note that the measured current will only exactly equal the calculated current if the system contains no internal resistance.Q.In Experiment 1, how much current is most likely flowing through the circuit?

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953= __________ (calculate without direct calculation).a)856395b)857625c)857375d)852395Correct answer is option 'C'. Can you explain this answer?
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