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3 years ago

Clare solved the inequality below and got an answer of x < -5. Do you agree or disagree with her

Mathematics

1 answer:

Inessa05 [86]3 years ago

4 0

Answer:

Disagree Hope that helps bye !

Step-by-step explanation:

-8x less than 46-6 sub 6 from both sides

46-6= 40 -8x less than 40

x greater than - 40/8 Divide both sides by -8= -5

so it would be x greater than -5 it's disagree because the symbols are different it supposed to be x greater than -5 not less than.

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Answer:

Given that,

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At t=0, we get

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We know that e^0=1 ( anything to the power zero is 1)

we get,

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b)To find thehalf-life of this substance

To find t when the substance becames half the amount.

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Substitute this we get,

$\frac{45}{2}=45e^{-0.0045(t)}$

$\frac{1}{2}=e^{-0.0045(t)}$

Taking natural logarithm on both sides we get,

$\ln (\frac{1}{2})=-0.0045(t)^{}$ $(-1)\ln (\frac{1}{2})=0.0045(t)$ $\ln (\frac{1}{2})^{-1}=0.0045(t)$ $\ln (2)=0.0045(t)$ $0.6931=0.0045(t)$ $t=\frac{0.6931}{0.0045}$ $t=154.02$

Half-life of this substance is 154.02

c) To find the amount of substance will be present around in 2500 years

Put t=2500

we get,

$A=45e^{-0.0045(2500)}$ $A=45e^{-11.25}$ $A=45\times0.000013=0.000585$ $A=0.000585$

The amount of substance will be present around in 2500 years is 0.000585 grams

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