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2 years ago

2. Which expression is equivalent to 3ly-6)?

Mathematics

1 answer:

Alchen [17]2 years ago

6 0

Answer:

pyfoydoye9ye9ye9ts8ts9teo5e

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A fossil was analyzed and determined to have a carbon-14 level that is 80 % that of living organisms. the half-life of c-14 is 5

liq [111]

Answer:

The fossil is 1860 years old.

Step-by-step explanation:

The equation for the amount of fossil has the following format:

$Q(t) = Q(0)e^{rt}$

In which Q(t) is the amount after t years, Q(0) is the initial amount and r is the rate of change.

Half-life of c-14 is 5730 years.

This means that $Q(5730) = 0.5Q(0)$

$Q(t) = Q(0)e^{rt}$

$0.5Q(0) = Q(0)e^{5730r}$

$e^{5730r} = 0.5$

$\ln{e^{5730r}} = \ln{0.5}$

$5730r = \ln{0.5}$

$r = \frac{\ln{0.5}}{5730}$

$r = -0.00012$

$Q(t) = Q(0)e^{-0.00012t}$

How old is the fossil?

This is t for which

$Q(t) = 0.8Q(0)$

$Q(t) = Q(0)e^{-0.00012t}$

$0.8Q(0) = Q(0)e^{-0.00012t}$

$e^{-0.00012t} = 0.8$

$\ln{e^{-0.00012t}} = \ln{0.8}$

$-0.00012t = \ln{0.8}$

$t = -\frac{\ln{0.8}}{-0.00012}$

$t = 1860$

The fossil is 1860 years old.

4 0

3 years ago

What is m∠S? Enter your answer in the box. ° An isosceles triangle with vertices labeled R, S, and T. Side R T is the base. Side

yulyashka [42]

Answer:

m<S = 45°

Step-by-step explanation:

The sum of the measures of the angles of a triangle equals 180 deg.

m<R + m<S + m<T = 180

3x + 2x + 3x = 180

8x = 180

x = 22.5

m<S = 2x = 2(22.5) = 45

5 0

3 years ago

Find the following measure for this figure.

uranmaximum [27]

Answer:

The correct option is 1. The circumference of circle is 12π units.

Step-by-step explanation:

From the given figure it is clear that the radius of the circle is6 units.

The circumference of a circle is

$C=2\pi r$

Where, r is the radius of the circle.

The circumference of the circle is

$C=2\pi (6)$

$C=12\pi$

The circumference of circle is 12π units.

Therefore option 1 is correct.

5 0

3 years ago

Read 2 more answers

Solve each exponential equation by using properties of common logarithms. When necessary, round answers to the nearest hundredth

Alex17521 [72]

Answer:

The answer is C

Step-by-step explanation:

Just graph these functions lol...

4 0

3 years ago

Of the Day

Nadya [2.5K]

Answer:

8+8+9+9.. so the answer is 34 yards.

Step-by-step explanation:

6 0

3 years ago