3 years ago

Please help me complete 8 and 9

Mathematics

1 answer:

Tresset [83]3 years ago

5 0

8: B(-4,3)
9: B -5 2/3

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Which is the simplified form of the expression ((p squared) (q Superscript 5 Baseline)) Superscript negative 4 Baseline times ((

Alexus [3.1K]

Answer:

$q^{-30}$

Step-by-step explanation:

Given the expression:

$((p^2) (q ^5)) ^{-4} X ((p ^{-4}) (q^5)) ^{-2}$

First, we open the outer brackets

$=(p^{2X-4}) (q ^{5X-4})X (p ^{-4X-2}) (q^{5X-2})\\\\=(p^{-8}) (q ^{-20})X (p ^{8}) (q^{-10})\\\\$Next, we can collect like terms\\\\=p^{-8}Xp ^{8}Xq ^{-20}Xq ^{-10}\\\\$Applying addition law of indices\\\\=p^{-8+8}Xq^{-20+(-10)}\\\\=p^0 X q^{-30}\\\\=1 X q^{-30}\\\\=q^{-30}$

Therefore:

$((p^2) (q ^5)) ^{-4} X ((p ^{-4}) (q^5)) ^{-2}=q^{-30$

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4 years ago

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Dave's Doughnuts sells a dozen doughnuts for $5.40. What is the unit cost per doughnut?

Otrada [13]

Answer: The cost per donut is 0.45

Step-by-step explanation: A dozen donuts is 12 donuts. $5.40 dollars divided by 12 is 0.45.

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3 years ago

The square root of 12 is irrational.<br><br> True<br> False

dalvyx [7]

True.

The square root of 12: √12 = 3.464101......

This continues indefinitely and can not be represented as a ratio of two integers.

So it is not rational, that is irrational.

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