Modern whales appreared 5-10 million years ago. The vertebrae off a whale discovered by paleontologists contain roughly 0.25% as much carbon-14 as they would have contained when the whale was alive. How long ago did the whale die? Use k=0.00012

49929 years ago

Step-by-step explanation:

Radiocarbon dating is a method that provides objective age estimates for carbon-based materials that originated from living organisms

To calculate the time, we will use exponential formula

R% = e^ -kt

Where t = number of years

0.25/100 = e^- 0.00012t

Log both sides with natural logarithm

Ln0.0025 = lne^-0.00012t

-5.9915 = -0.00012t

t = 5.9915/0.00012

t = 49928.9 years

Approximately t = 49929 years

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step-by-step explanation:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions