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3 years ago

Given the equation a = 2(b + 6) - 10, find the value of b when a = -18.

Mathematics

1 answer:

Rashid [163]3 years ago

3 0

Answer:

-10=b

Step-by-step explanation:

-18=2(b+6)-10

-18=2b+2

-20=2b

-10=b

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This is a 2.5% decrease in price.

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The owner of a music store received a shipment of 1,532 CDs. The CDS came in 37 boxes. The same number of CDS were in 36 of the

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Overview

Alisiya [41]

Answer:

125.4

Step-by-step explanation:

Given

$Number = 125.3546$

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Up till the first decimal place, the number is:

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The digit after .3 is 5

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Step-by-step explanation:

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Ancient paintings were found on cave walls in South America. The Carbon-14 in the paintings was measured and was found to be 19%

balu736 [363]

Answer: C. 13,839 (the answer is not among the given options, however the result is near this value)

Step-by-step explanation:

The exponential decay model for Carbon- 14 is given by the followig formula:

$A=A_{o}e^{-0.0001211.t}$ (1)

Where:

$A$ is the final amount of Carbon- 14

$A_{o}=$ is the initial amount of Carbon- 14

$t$ is the time elapsed (the value we want to find)

On the other hand, we are told the current amount of Carbon-14 $A$ is $19\%=0.19$ , assuming the initial amount of Carbon-14 $A_{o}=$ is $100\%$ :

$A=0.19A_{o}$ (2)

This means: $\frac{A}{A_{o}}=0.19$ (2)

Now,finding $t$ from (1):

$\frac{A}{A_{o}}=e^{-0.0001211.t}$ (3)

Applying natural logarithm on both sides:

$ln(\frac{A}{A_{o}})=ln(e^{-0.0001211.t})$ (4)

$ln(0.19)=-0.0001211.t$ (5)

$t=\frac{ln(0.19)}{-0.0001211}$ (6)

Finally:

$t=13713.717years$ This is the age of the paintings and the option that is nearest to this value is C. 13839 years

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