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Find the value of `x^(–3)` if `x = (100)^(1–4) -:
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Jan 18, 2022
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krutika
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Some migratory birds travel as much as 15,000 km to escape the extreme climatic conditions at home. Write the distance in metres using scientific
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Arun
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Find x so that `(2/9)^3 xx (2/9)^(-6) =
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Use the properties of exponents to verify that each statement is true. (a) `1/4(2^n) = 2^(n-2)` (b) `4(n-1) = 1/4(4)^n` (c) `25(5^(n–2)) =
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Stretching Machine Suppose you have a stretching machine which could stretch almost anything. For example, if you put a 5 metre stick into a `(xx 4)` stretching machine (as shown below), you get a 20 metre stick. Now if you put 10 cm carrot into a `(xx 4)` machine, how long will it be when it comes out?
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Two machines can be hooked together. When something is sent through this hook up, the output from the first machine becomes the input for the second. (a) Which two machines hooked together do the same work a `( xx 10^2)` machine does? Is there more than one arrangement of two machines that will work? (b) Which stretching machine does the same work as two `(xx 2)` machines hooked together?
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Simran
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For each hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it (a) (b) (c) (d)(e)
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Jan 18, 2022
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Neha needs to stretch some sticks to `25^2` times their original lengths, but her `(xx2^5)` machine is broken. Find a hook-up of two repeater machines that will do the same work as a `(xx25^2)` machine. To get started, think about the hookup you could use to replace the `(xx2^5)` machine.
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Find three machines that can be replaced with hook-ups of `(xx 5)`
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If a = – 1, b = 2, then find the value of the following: (1) `a^b + b^a` (2) `a^b – b^a` (3) `a^b xx b^2` (4) `a^b ¸
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Simplify: `(4/13)^4 xx (13/7)^2 xx
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Find the compound interest on Rs 48,000 for one year at 8% per annum when compounded half
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Shyama purchases a scooter costing Rs 36,450 and the rate of sales tax is 9%, then the total amount paid by her
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Latika bought a teapot for Rs 120 and a set of cups for Rs 400. She sold teapot at a profit of 5% and cups at a loss of 5%. The amount received by her
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When principal P is compounded semi-annually at r % per annum for t years, then Amount =
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The buying price of 5 kg of flour with the rate Rs 20 per kg, when 5% ST is added on the purchase is Rs
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yogita
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1.8k
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Three bags contain 64.2 kg of sugar. The second bag contains `4/5` of the contents of the first and the third contains `42 1/2%` of what there is in the second bag. How much sugar is there in each
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Find discount in per cent when (a) M.P. = Rs 625 and S.P. = Rs 562.50 (b) M.P. = Rs 900 and S.P. = Rs
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The marked price of an article is Rs 500. The shopkeeper gives a discount of 5% and still makes a profit of 25%. Find the cost price of the
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In the year 2001, the number of malaria patients admitted in the hospitals of a state was 4,375. Every year this number decreases by 8%. Find the number of patients in
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