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This table shows the mass of one atom for five chemical elements. Use it to answer the question given. Element Mass of atom (kg) TitaniumLeadSilverLithiumHydrogen `7.95 × 10^(–26)` `3.44 × 10^(–25) ``1.79 × 10^(–25)``1.15 × 10^(–26)``1.674 × 10^(–27) `
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This table shows the mass of one atom for five chemical elements. Use it to answer the question given. Element Mass of atom (kg) TitaniumLeadSilverLithiumHydrogen `7.95 × 10^(–26)` `3.44 × 10^(–25) ``1.79 × 10^(–25)``1.15 × 10^(–26)``1.674 × 10^(–27) `
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An electron’s mass is approximately `9.1093826 xx 10^(–31)` kilograms. What is this mass in
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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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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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For the following repeater machines, how many times the base machine is applied and how much the total stretch is?
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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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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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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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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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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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Find two repeater machines that will do the same work as a `(xx 81)`
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Find three machines that can be replaced with hook-ups of `(xx 5)`
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The left column of the chart lists the lengths of input pieces of ribbon. Stretching machines are listed across the top. The other entries are the outputs for sending the input ribbon from that row through the machine from that column. Copy and complete the chart.
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The left column of the chart lists the lengths of input chains of gold. Repeater machines are listed across the top. The other entries are the outputs you get when you send the input chain from that row through the repeater machine from that column. Copy and complete the chart.
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Find x -1. (1) `-(1/7)^(-5) -: -(1/7)^(-7) = (-7)^x` (2) `(2/5)^(2x+6) xx (2/5)^3 =
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Simplify: `(1/2)^2-(1/4)^(3-1) =
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Simplify:
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Simplify: `((9) xx 27 xx t^4)/((3)^(-2) xx (3)^4 xx
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A number is increased by 20% and then it is decreased by 20%. Find the net increase or decrease per
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