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2 years ago

Can i get some help on this question?

Mathematics

2 answers:

Yakvenalex [24]2 years ago

7 0

Divide both sides by 8.5 to get b on its own

68/8.5 = 8
So b = 8

Anton [14]2 years ago

4 0

Answer:

Bye I hope this helps you pass!

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Help its pi, ill give brainiest to the first answer show work please :)

saw5 [17]

Answer:

16m

50.24m

200.96m^2

Step-by-step explanation:

13. 8*2=16

14. 8m

15. 2pi r = 2* pi* 8= 50.24

16. pi r^2 = pi * 8^2= 200.96m^2

8 0

3 years ago

Read 2 more answers

Find the square root of 24-16√2<br>

Minchanka [31]

Answer:

Step-by-step explanation:

The result can be shown in multiple forms.

Exact Form:

24 − 16 √ 2

Decimal Form:

1.37258300 …

7 0

3 years ago

Kira has $40 to spend and used $20 to buy a new pair of jeans. Which integer best represents the situation of spending $20?

pishuonlain [190]

-20 because 40 is a positive and spent is negative

5 0

3 years ago

A rectangle has an area of 96 in2. The rectangle's base is 4 in. What is the height of the rectangle?

gavmur [86]

96/4=24in, so B
Hope this helps :)

6 0

3 years ago

Read 2 more answers

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