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elena-14-01-66 [18.8K]
3 years ago
8

Which inequality is true?

Mathematics
2 answers:
Alex73 [517]3 years ago
7 0

we can eliminate options 1 and 3 because negative numbers are never greater than positive numbers

2 1/3 as a decimal is 2.33

2 1/6 as a decimal is 2.16

2 1/3 is larger than 2 1/6 so

2 1/3 > 2 1/6 is correct

xeze [42]3 years ago
7 0

Answer:

The answer is B.

Step-by-step explanation:

A.) 5/6 < -1/3 is false because the left side 0.8333... is not less than the right side −0. 333333...

B.) 2 1/3 > 2 1/6 is true because the left side 2. 3... is greater than the right side 2.166...

C.) 2 < -2 1/2 is false because the left side 2 is not less than the right side −2.5.

D.) 1 1/4 > 1 1/3 is false because the left side 1.25 is not greater than the right side 1.3...

[ The ´...´ indicate that the last digit is repeating.]

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<u>Step-by-step explanation:</u>

A = P_o\cdot e^{kt}\\\\\text{First, use the given information to find k:}\\\\\bullet A=\dfrac{1}{2}P_o\\\\\bullet k = unknown\\\\\bullet t=29\text{ years}\\\\\dfrac{1}{2}P_o=P_o\cdot e^{k(29)}\\\\\\\dfrac{1}{2}=e^{k(29)}\qquad divided\ both\ sides\ by\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=ln\bigg(e^{k(29)}\bigg)\qquad applied\ ln\ to\ both\ sides\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=29k\qquad simplified-ln\ and\ e\ cancel\ out\\\\\\\dfrac{ln\bigg(\dfrac{1}{2}\bigg)}{29}=k\qquad divided\ 29\ from\ both\ sides\\\\\\-0.0239=k

\text{Now, use the following in the equation to solve for A:}\\\\\bullet A=unknown\\\bullet P_o=500\\\bullet k=-0.0239\\\bullet t=58\text{ years}\\\\A=500\cdot e^{(-0.0239)(58)}\\\\.\quad=500\cdot e^{-1.386}\\\\.\quad=125

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