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Ede4ka [16]
2 years ago
5

6. Use the Change of Base Formula to evaluate log base 4 20

Mathematics
1 answer:
tatiyna2 years ago
4 0

Answer:

The answer with calculator would be 2.16096

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The figure represents a traffic island that has angles measuring 60°, 20°, and 100°. Enter each angle next to its correct measur
suter [353]

Answer:

possblie awnser is 1:Possible answer for Triangle 1: m∠A = 70°; m∠B = ∠55°; m∠C = 55°.

The compass marks equal lengths on both sides of ∠A; therefore, AB

Step-by-step explanation:

3 0
2 years ago
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Your bill at a restaurant comes to $24.50. Your gratuity is 20%. What is the final bill?
Elena-2011 [213]
The final bill will come to $29.40.


To get this answer, you must multiply 24.50 by 20% to get 4.90. Then, you add the two decimals to get the final bill price of $29.40.
4 0
3 years ago
A triangle with angle measures of 45 45 and 90 is
kiruha [24]

Answer:

A right triangle

Step-by-step explanation:

The answer is a right triangle because it has a right angle. A right angle is 90 degrees

6 0
2 years ago
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the half life of c14 is 5730 years. Suppose that wood found at an archeological excavation site contains about 35% as much C14 a
Furkat [3]

Answer:

The wood was cut approximately 8679 years ago.

Step-by-step explanation:

At first we assume that examination occured in 2020. The decay of radioactive isotopes are represented by the following ordinary differential equation:

\frac{dm}{dt} = -\frac{m}{\tau} (Eq. 1)

Where:

\frac{dm}{dt} - First derivative of mass in time, measured in miligrams per year.

\tau - Time constant, measured in years.

m - Mass of the radioactive isotope, measured in miligrams.

Now we obtain the solution of this differential equation:

\int {\frac{dm}{m} } = -\frac{1}{\tau}\int dt

\ln m = -\frac{1}{\tau} + C

m(t) = m_{o}\cdot e^{-\frac{t}{\tau} } (Eq. 2)

Where:

m_{o} - Initial mass of isotope, measured in miligrams.

t - Time, measured in years.

And time is cleared within the equation:

t = -\tau \cdot \ln \left[\frac{m(t)}{m_{o}} \right]

Then, time constant can be found as a function of half-life:

\tau = \frac{t_{1/2}}{\ln 2} (Eq. 3)

If we know that t_{1/2} = 5730\,yr and \frac{m(t)}{m_{o}} = 0.35, then:

\tau = \frac{5730\,yr}{\ln 2}

\tau \approx 8266.643\,yr

t = -(8266.643\,yr)\cdot \ln 0.35

t \approx 8678.505\,yr

The wood was cut approximately 8679 years ago.

5 0
3 years ago
Plz help I don’t wanna fail it’s not much!!!!!
Vikki [24]

Answer:

40 feet

Step-by-step explanation:

24^2+32^2=x^2

solve for x

x=40 feet

5 0
2 years ago
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