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Marysya12 [62]
3 years ago
10

Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality ____ < √17

< ____
Mathematics
2 answers:
kvv77 [185]3 years ago
6 0
<span>Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality __4__ < √17 < __5__</span>
MakcuM [25]3 years ago
6 0

Answer:

4 < √17 < 5

Step-by-step explanation:

Since, the perfect square integers nearer to 17 are 16 and 25,

That is, we can write,

16 < 17 < 25

Taking square root,

\sqrt {16} < \sqrt{17} < \sqrt{25}

4 < \sqrt{17} < 5

Hence, the integers in the given blanks are 4 and 5 respectively.

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Jen factored x² - 4x - 21 as (x - 3)(x + 7) What did she do wrong?
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Answer:

She didn't put the sign's in the proper place, it should be ( x + 3 ) ( x - 7 )

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One thousand tonnes (1000 t, one t equals 10 cubed kg) of sand contains about a trillion (10 super 12) grains of sand. How many
Phantasy [73]

Answer with Step-by-step explanation:

Since 1 mole of sand will contain Avagadro's Number of sand particles (by definition of 1 mole)

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1 mole of sand = 6.022\times 10^{23} sand particles

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Now since it is given that mass of 1 trillion sand particles is 1000 tonnes Thus the mass of 6.022\times 10^{11} trillion sand particles is

Mass=1000\times 6.022\times 10^{11}=6.022\times 10^{14}tonnes

Part 2)

Since it is given that volume of 1 sand particle is 1.0mm^{3} thus the volume of 1 mole of sand is volume of 6.022\times 10^{23} sand particles

Thus volume of 1 mole is V=1.00\times 10^{-18}km^{3}\times 6.022\times 10^{23}=6.022\times 10^{5}km^{3}

Now since the Area of united states is A=3.6\times 10^{6}mile^{2}=5.8\times 10^{6}km^{2}

Thus the depth of the sand pile is

Depth=\frac{Volume}{Area}=\frac{6.022\times 10^5}{5.8\times 10^6}=0.10387km=103.8meters

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