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3 years ago

X^3 = -125 Show your work. PLease help :)

Mathematics

1 answer:

gulaghasi [49]3 years ago

4 0

$x^3=-125\to x=\sqrt[3]{-125}\to x=-\sqrt[3]{125}\to x=-5\\\\because\ -5^3=-125$

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Answer:

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Step-by-step explanation:

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3 years ago

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2 years ago

Jane wishes to bake an apple pie for dessert. The baking instructions say that she should bake the pie in an oven at a constant

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Answer:

A=152

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Step-by-step explanation:

You can obtain two equations with the given information:

T(14 minutes) = 114◦C

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Therefore, you have to replace t=14, T=114 and t=28, T=152 in the given equation:

$114=190-Ae^{-14k} (I) \\152=190-Ae^{-28k}(II)$

Applying the following property of exponentials numbers in (II):

$e^{a}.e^{b}=e^{a+b}$

Therefore $e^{-28k}$ can be written as $e^{-14k}.e^{-14k}$

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Replacing (I) in the previous equation:

$152=190-76e^{-14k}$

Solving for k:

Subtracting 190 both sides, dividing by -76:

$0.5=e^{-14k}$

Applying the base e logarithm both sides:

Ln(0.5)= -14k

Dividing by -14:

k= -Ln(0.5)/14

Replacing k in (I) and solving for A:

$Ae^{-14(-Ln(0.5)/14)}=76\\Ae^{Ln(0.5)} =76\\A(0.5)=76$

Dividing by 0.5

A=152

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3 years ago