3 years ago

Karen is waiting for a pot of soup to cool

Mathematics

1 answer:

Studentka2010 [4]3 years ago

4 0

Answer:

It went down 5.5°C a minute.

Step-by-step explanation:

You have to look for the difference of 100 and 78, which is 22.

Divide the difference with the minutes (4), equalling 5.5.

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Which expression is equivalent to (a^-3 b/a^-5 b3)^-3? Assume a=0, b=0.

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$Use:\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\(a^n)^m=a^{nm}\\\\a^{-n}=\dfrac{1}{a^n}\\\\(ab)^n=a^nb^n$

$\left(\dfrac{a^{-3}b}{a^{-5}b^3}\right)^{-3}=\left(a^{-3-(-5)}b^{1-3}\right)^{-3}=\left(a^{-3+5}b^{-2}\right)^{-3}=\left(a^2b^{-2}\right)^{-3}\\\\=(a^2)^{-3}(b^{-2})^{-3}=a^{2(-3)}b^{-2(-3)}=a^{-6}b^6=\dfrac{b^6}{a^6}$