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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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Jan 17, 2022
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marks3
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Fill in the blanks
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Jan 17, 2022
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There are 864,00 seconds in a day. How many days long is a second? Express your answer in scientific
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The given table shows the crop production of a State in the year 2008 and 2009. Observe the table given below and answer the given questions. Crop 2008 Harvest (Hectare) Increase/Decrease (Hectare) in 2009 Bajra `1.4 × 10^3` – 100 Jowar `1.7 × 10^6` -440,000 Rice `3.7 × 10^3` – 100 Wheat `5.1 × 10^5` + 190,000 (a) For which crop(s) did the production decrease? (b) Write the production of all the crops in 2009 in their standard form. (c) Assuming the same
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Jan 17, 2022
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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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Jan 17, 2022
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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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Jan 17, 2022
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Repeater Machine Similarly, repeater machine is a hypothetical machine which automatically enlarges items several times. For example, sending a piece of wire through a `(xx 2^4)` machine is the same as putting it through a (xx 2) machine four times. So, if you send a 3 cm piece of wire through a `(xx 2^4)` machine, its length becomes `3 xx 2 xx 2 xx 2 xx 2 = 48` cm. It can also be written that a base (2) machine is being applied 4 times. What will be the new length of a 4 cm strip inserted in
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Jan 17, 2022
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For the following repeater machines, how many times the base machine is applied and how much the total stretch is?
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Jan 17, 2022
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Find three repeater machines that will do the same work as a `(xx64)` machine. Draw them, or describe them using
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Jan 17, 2022
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What will the following machine do to a 2 cm long piece of chalk?
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Jan 17, 2022
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In a repeater machine with 0 as an exponent, the base machine is applied 0 times. (a) What do these machines do to a piece of chalk? (b) What do you think the value of 60
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Shrinking Machine In a shrinking machine, a piece of stick is compressed to reduce its length. If 9 cm long sandwich is put into the shrinking machine below, how many cm long will it be when it emerges?
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Jan 17, 2022
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What happens when 1 cm worms are sent through these hook-ups?
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Jan 17, 2022
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Sanchay put a 1cm stick of gum through a `(1 xx 3^(–2))` machine. How long was the stick when it came
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Jan 17, 2022
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Ajay had a 1cm piece of gum. He put it through repeater machine given below and it came out `1/100,000 cm` long. What is the missing value?
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Jan 17, 2022
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8th-maths
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nishit
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1.8k
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marks3
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Find a single machine that will do the same job as the given hook-up. (a) a`(xx 2^3)` machine followed by `(xx 2^(–2))` machine. (b) a`(xx 2^4)` machine followed by `(xx(1/2)^2)` machine (c) a`(xx 5^99)` machine followed by a `(5^(–100))`
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Jan 17, 2022
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Find a single repeater machine that will do the same work as each hook-up. (a) (b) (c) (d) (e) (f)
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Jan 17, 2022
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8th-maths
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vaibhav
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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 17, 2022
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krutika
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marks3
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Shikha has an order from a golf course designer to put palm trees through a `(xx 2^3)` machine and then through a `(xx 3^3)` machine. She thinks she can do the job with a single repeater machine. What single repeater machine should she use?
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Jan 17, 2022
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8th-maths
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nishit
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1.8k
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marks3
chapter8
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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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Jan 17, 2022
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nishit
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marks3
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