Explicit rule for sequence 5, 3, 1, -1, -3...

kotykmax [81]

Because angleCBD＋angleBDC＋angleC＝180 so angleCBD＋angleBDC＝180－angleC＝180－82＝98 because BC＝DC so angleCBD＝angleBDC so 2 angleCDB＝98 so angleCDB＝49 so y＝29 by Joy Xu，紫馨雪汐

7 0

3 years ago

adiocarbon dating of blackened grains from the site of ancient Jericho provides a date of 1315 BC ± 13 years for the fall of the

Zigmanuir [339]

Answer:

$\left(\frac{m(t)}{m_{o}} \right)_{min} \approx 0.659$ and $\left(\frac{m(t)}{m_{o}} \right)_{max} \approx 0.661$

Step-by-step explanation:

The equation of the isotope decay is:

$\frac{m(t)}{m_{o}} = e^{-\frac{t}{\tau} }$

14-Carbon has a half-life of 5568 years, the time constant of the isotope is:

$\tau = \frac{5568\,years}{\ln 2}$

$\tau \approx 8032.926\,years$

The decay time is:

$t = 1315\,years + 2007\,years \pm 13\,years$ (There is no a year 0 in chronology).

$t = 3335 \pm 13\,years$

Lastly, the relative amount is estimated by direct substitution:

$\frac{m(t)}{m_{o}} = e^{-\frac{3335\,years}{8032.926\,years} }\cdot e^{\mp\frac{13\,years}{8032.926\,years} }$

$\left(\frac{m(t)}{m_{o}} \right)_{min} = e^{-\frac{3335\,years}{8032.926\,years} }\cdot e^{-\frac{13\,years}{8032.926\,years} }$

$\left(\frac{m(t)}{m_{o}} \right)_{min} \approx 0.659$

$\left(\frac{m(t)}{m_{o}} \right)_{max} = e^{-\frac{3335\,years}{8032.926\,years} }\cdot e^{\frac{13\,years}{8032.926\,years} }$

$\left(\frac{m(t)}{m_{o}} \right)_{max} \approx 0.661$

4 0

2 years ago

Need help factoring this binomial: x^4-1?

natima [27]

Use the difference of squares factorization - that for any numbers a and b, (a-b)(a+b)=a^2-b^2.

We have:

(x^2+1)(x^2-1)=x^4-1

In addition:

(x-1)(x+1)=x^2-1, so we have:

(x^2+1)(x+1)(x-1)

As our complete factorization.

5 0

3 years ago

Read 2 more answers

Test Scores Find the percentile rank for each test score in the data set. Round to the nearest whole percentile.

photoshop1234 [79]

The percentile rank for 10 will be 10th.

<h3>What is percentile rank?</h3>

The percentile rank of a particular score in statistics refers to the percentage of scores in the frequency distribution that are smaller than that score.

Percentile rank = [(Number of values below x) + 0.5]/ total number of values * 100

For 10,

Percentile rank = {[0 + 0.5]/5} x 100 = 10th

For 15,

Percentile rank = ([1 + 0.5]/5) x 100 = 30st

For 19,

Percentile rank = [2 + 0.5]/5 x 100 = 50th

For 23,

Percentile rank = [3 + 0.5]/5 x 100 = 70th

For 30,

Percentile rank = [4 + 0.5]/ 5 x 100 = 90th

The percentile rank for 10 will be 10th.

To know more about percentile range follow

brainly.com/question/24245405

#SPJ1

7 0

2 years ago

The histogram shows the ages of cars sold at a car auction. what percent of the cars was less than 20 years old or more than 40

Alexus [3.1K]

The histogram is attached. Every column shows on the bottom the range of age and on the left the number of cars of that particular age.

In order to find the percentage of cars with less than 20 years or more than 40 years, you have to sum up the numbers of cars in the first two columns from left (age 0-9 and 10-19) and the last two (age 40-49 and 50-59).
The number of cars of requested age is: 3 + 2 + 0 + 3 = 8

Now, you need to calculate the total number of cars (sum the cars of every column): 3 + 2 + 8 + 4 + 0 + 3 = 20

Lastly, you need to calculate the ration between the cars of requested age and the total number of cars, and transform it into a percentage:
8 ÷ 20 = 0.40 = 40%

Therefore, your answer is 40%.

3 0

3 years ago