a hiker in africa discovers a skull that contains 41% of its original amount of c-14. find the age of the skull to the nearest year

Answers

Answer 1

9514 1404 393

Answer:

  7371 years

Step-by-step explanation:

The half-life of Carbon-14 is reportedly about 5730 years. Then the exponential decay equation can be written as ...

  f = (1/2)^(t/5730)

where f is the fraction remaining after t years.

Taking logarithms and solving for t, we find ...

  log(f) = (t/5730)log(1/2)

  t = 5730·log(f)/log(1/2)

For the fraction f = 0.41, the age is approximately ...

  t = 5730·log(0.41)/log(1/2) ≈ 5730·1.286304 ≈ 7371 . . . years

The age of the skull could be estimated to be 7371 years.


Related Questions

Please help me I really need help

Answers

771.05 m³ is tge answer brudah !!

V = pi x 4^2 x 14 + 1/3 x pi x 4^2 x 6
= 703.72 + 100.53
= 804.2 m^3 (4sf)

Find the volume of the composite figure

Answers

Answer:

540m^3

Step-by-step explanation:

find volume of top + volume of bottom

bottom: l*w*h = 16*5*4 =300 m^3

top = area of side times width = area of triangle times width

area of triangle is 1/2*b*h = (6*16)/2 = 48 m^2

multiply by width = 48*5=240m^3

add top and bottom = 300+240=540m^3

Car price $118,191
Percent for car loan: 2.49%
36 months

Find monthly payment show work

Answers

Answer:

3410.64

Step-by-step explanation:

Gonna assume that the 2.49 is the APR

present value of the loan= present value of the payments

effective rate: .0249/12= .002075

x= payment

[tex]118191=x\frac{1-(1+.002075)^{-36}}{.002075}\\118191=34.6536494355x\\x=3410.63645317[/tex]

log (sqrt(xy))/z is equal to

a) 1/2 logx + 1/2 logy - logz
b) 1/2 logx + logy - logz
c) 1/2 (logx + logy - logz)
d) 1/2 log xy/ logz

Answers

Answer:

A) [tex]\frac{1}{2}log(x)+\frac{1}{2}log( y)-log(z)[/tex]

Step-by-step explanation:

[tex]log\frac{\sqrt{xy}}{z}[/tex]

[tex]log\sqrt{xy}-log(z)[/tex]

[tex]log(xy)^\frac{1}{2}-log(z)[/tex]

[tex]\frac{1}{2}log(xy)-log(z)[/tex]

[tex]\frac{1}{2}(log(x)+log(y))-log(z)[/tex]

[tex]\frac{1}{2}log(x)+\frac{1}{2}log( y)-log(z)[/tex]

Therefore, A is correct

Which equation has the same solution as x2 + 16x + 13 = 0?

Answers

(x+4)^2=21

Hope this helps ;)

Find the x-intercept of the rational function.

Answer choices:

A.) (0,-2)
B.) (-2,0)
C.) (0,5)
D.) (5,0)

Answers

U can see graph below the x intercepts on (0,-2)

So think the answer should be :
A) (0,-2)

Solve, Hurry, Need Help

[tex] {x}^{2} - 15x + 26[/tex]

Answers

(x-13)(x-2)

Step-by-step explanation:

[tex]{x}^{2} - 15x + 26[/tex]

Factorize : What two numbers when added will give - 15 and when multiplied will give 26.

the number is - 13 and - 2

[tex] {x}^{2} - 2x - 13x + 26[/tex]

Factor out x

[tex]x(x - 2) - 13(x - 2) \\ (x - 13)(x - 2)[/tex]

Answer:

(x-13)(x-2)

Step-by-step explanation:

Factoring :

(x-13)(x-2)

[tex]x^2-13x-2x+26[/tex]  combine like terms

Because -13-2 gives you -15 and -13 mutiply -2 gives you positive 26

[tex]x^2-15x+26[/tex]

I hope this helps you

solve for X. Round to the nearest tenth, if necessary. ​

Answers

Answer:

x=50.7

Explanation

90+38+x+1.3=180

90+38

Add these numbers

=128

128+x+1.3=180

128+x+1.3

Add these numbers

128+1.3=129.3

129.3+x

129.3+x=180

129.3+x

sort elements

x+129.3=180

129.3

convert this to a fraction

1293/10

x+1293/10=180

x+1293/10=180

Move each term from the right to the left side and change a sign of every element

x+1293/10-180=0

x+1293/10-180

subtract these number

1293/10-180=1293/10-1800/10

=-507/10

x-507/10=0

f (x)=x-507/10

a=1

b=-507/10

x-507/10=0

move each number from the left a the right side and change a sign of every element

x=507/10

therefore x=50.7

-0,05.[tex]\sqrt{28800}[/tex]

Answers

Answer:

-8.4855

Step-by-step explanation:

[tex]-0,05 \ \cdot \ \sqrt{28800}\\\\ = -0.05 \ \cdot \ 169.71\\\\= -8.4855[/tex]

The answer is -8.4555

Sam took a total of 12 tests over the course of 6 weeeks if the continued to take tests at the same rate how many tests will Sam have taken after 28 weeks of school

Answers

Answer:

56 tests

Step-by-step explanation:

first find the amount of test he took each week. if we divide 12 by 6 (12 ÷ 6 = 2) we find out that he took 2 tests per week.

So if he continues with the same rate for the next 28 weeks of school, in order to find out how many tests he would have taken, we just need to  multiply 28 by 2 (28 × 2 = 56), which will be equal to 56

hope this helps! if you have any questions, let me know!

Which expression represents this word phrase? eight less than the quotient of x and 3

A: х/3 - 8

B: X - 8/3

C: 3x - 8

D: 8 - x/3​

Answers

Answer:

Step-by-step explanation:8 less means you will be subtract 8 from another number. The quotient of x and 3 is gotten by dividing x by 3 or x/3.

Using the quadratic formula to solve x = 5-x, what are the values of x?

Answers

The answer is the first one A

The valuesStartRoot 10 EndRoot and StartRoot 15 EndRoot are plotted on the number line.

Answers

I believe the answer is 15 but trying to pass

Question 1
Which of the following numbers is greater than 6 and less than 8?
60
O 780
70

Answers

Answer:

The number which is more than 6 and less than 8 is 7.

Step-by-step explanation:

There are the natural numbers.

To find the number which is more than 6 but less than 8.

The numbers which are more than 6 are 7, 8, 9, 10, ....

The numbers which are less than 8 are ...,3, 4, 5, 6, 7

So, the number which is more than 6 and less than 8 is 7.

-5,2 translated 2 two units left and one unit up

Answers

Answer:

(-7, 3)

Step-by-step explanation:

You already said the point of C is (-5, 2)

Now all we simply do is change the values of each X and Y value respectively.

When moving to the left, the value is subtracted for X.

When moving up the value is added to Y.

-5-2 = -7

2+1 = 3

Answer:

It is going to be -7;3 as I can see on the picture you sent the answer is the first option.

The box plots show the basketball scores for two teams.

Answers

It’s c trust me I’m a goat at basketball

Answer:

C

Step-by-step explanation: A.P.E.X

in what ratio we increase 900 to get 1200​​

Answers

Answer:

4:3

Step-by-step explanation:

Let's say that the number we multiply to get to 1200 from 900 is x.

900x=1200

Now, we divide both sides by 900:

x=1200/900

x=4/3

The number is 4/3. In ratio form, this is 4:3

Answer:

3 : 4

Step-by-step explanation:

      900  : 1200

= 30 x 30 : 30 x 40

=         30 : 40

=    3 x 10 : 4 x 10

=           3 : 4

please help giving brainly and points :)​

Answers

Answer:

A)-4,-5

B)4,5

Step-by-step explanation:

Can units subtract themselves in mathematics? Example is cm²-cm =cm? / m³-m =m²?​

Answers

Answer:

No, they cannot be added or subtracted.

Step-by-step explanation:

According to the homogenity of units and dimensions, the quantities of the same units and dimensions are added or subtracted only.

So, the quantities of different units and dimensions can not be added or sutracted.

So,

[tex]cm^2 - cm = notdetremined[/tex]

I will give brainliest please help!

Answers

Answer:

40/5 = 8 per hour

Hope this helped :)

help help help help help​

Answers

Step-by-step explanation:

press the picture to see the answer I swear it has a solution too

solve for x, show work please!! 20 points.

Answers

Option B: (10)

Step-by-step explanation:

Here,

13x - 5 = 11x + 15. [Since corresponding angles are similar in parallel lines]

=> 13x - 11x = 15 + 5

=> 2x = 20

[tex] = > x = \frac{20}{2} [/tex]

=> x = 10 (Ans)

The answer would be B

30 points What's the area below

Answers

Answer:

213

Step-by-step explanation:

(12×11)+(5×6)+(7×6)+(3×3)=132+30+42+9

=213

Answer:

Step-by-step explanation:

Ggg

find the area of a semicircle whose radius is 2.4 cm

Answers

Answer:

[tex] 9.0432 \: {cm}^{2} [/tex]

Step-by-step explanation:

Area of semicircle

[tex] = \frac{1}{2} \pi \: {r}^{2} \\ \\ = \frac{1}{2} \times 3.14 \times {(2.4)}^{2} \\ \\ = \frac{1}{2} \times 3.14 \times 5.76 \\ \\ = \frac{1}{2} \times 18.0864 \\ \\ = 9.0432 \: {cm}^{2} [/tex]

Answer:

Area of semi circle = 9.05 square cm

Step-by-step explanation:

[tex]Area \ of \ circle = \pi r^2\\\\Area \ of \ semi - circle = \frac{1}{2} \pi r^2 = \frac{1}{2} \pi (2.4)^2 = 9.047 = 9.05 \ cm^2[/tex]

Use the formula A=bhto find the area of the parallelogram.
2.1 m
6.3 m

Answers

Answer:

A = 13.23 m²

Step-by-step explanation:

A = bh

Where,

A = area of the parallelogram

b = base of the parallelogram

h = height of the parallelogram

From the question, assume

b = 2.1 m

h = 6.3 m

A = bh

= 2.1 m × 6.3 m

= 13.23 m²

A = 13.23 m²

what would be the best first step in solving this system?​

Answers

Answer:

B. substitute for X in first equation

A number is multiplied by 2, and then 5 is subtracted. The result is 43.

Answers

Answer: The answer is 7.

Kira looked though online census information to determine the average number of people living in the homes in her city

Answers

First we need to identify if the data is qualitative or quantitative.

The data is average number of people living in the homes.

Qualitative data as its name indicates is an attribute or characteristic. It can not be measured e.g color. Quantitative data is such a data which can be counted or measured.

Since the average number of people can be counted and measured, the data is Quantitative.

In an observational study the individuals are observed. In the given case, Kira did not observed the individuals to gather the data, rather she used an Online resource to gather the data.

Therefore, the correct answer will be:

Kira used published data that is quantitative.

Source: i found it in another brainly question which was the same as your question and was expert verified so i hope this helped

Select the correct answer.
Convert (6,150°) to rectangular form.

Answers

Answer:

A

Step-by-step explanation:

basta letter A sagot dyan

3^8 times 3^2, using properties of exponents

Answers

Answer:

[tex]3^{10}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

[tex]3^{8}[/tex] × 3² = [tex]3^{(8+2)}[/tex] = [tex]3^{10}[/tex]

Other Questions
Answer true or false.1._____The central nervous system consists of the brain, spinal cord, and nerves.2._____The autonomic system is part of the nervous system that controls involuntary actions in the body.3._____A fish has a more highly developed brain than an ape.4.______The spinal cord is part of the respiratory system.5._____The three main parts of the brain in vertebrates are the cerebrum, thecerebellum, and the brain stem. How can you create any elegant and artistic presentation of a cake or pastry considering the product and its container? Elsa, miguel and scott sent a total of 133 text messages over their cell phones during the weekend. Scott sent 8 fewer messages than elsa. Miguel sent 3 times as many messages as scott. How many messages did they each send? What is the frequency of an electromagnetic wave that has a wavelength of 8.5 x 10^2 m in a vacuum? (The speed of light in a vacuum is 3.00 x 10^8 m/s.)A. 1.2 x 10^-3 HzB. 2.8 x 10^-6 HzC. 3.5 x 10^5 HzD. 2.6 x 10^11 Hz that is the letter for the english question i post help plz!! what is the mean of the data set 8, 8, 9, 11, 24 HelpWillGiveBrainlist:))) ANSWER QUICK PLS A prefix can be used as a word by itself as well as at the end of a word.TrueFalse On October 1, Ebony Ernst organized Ernst Consulting; on October 3, the owner contributed $82,650 in assets in exchange for its common stock to launch the business. On October 31, the companys records show the following items and amounts. Cash $15,200 Cash dividends $460 Accounts receivable 12,410 Consulting revenue 12,410 Office supplies 1,770 Rent expense 2,140 Land 46,080 Salaries expense 5,300 Office equipment 16,450 Telephone expense 750 Accounts payable 6,060 Miscellaneous expenses 560 Common stock 82,650Required:Using the above information prepare an October income statement for the business. The prepaid insurance account had a beginning balance of $8,540 and was debited for $530 for premiums paid during the year. Journalize the adjusting entry required at the end of the year, assuming the amount of unexpired insurance related to future periods is $6,010. What causes hurricane on Saturn? Which two of these elements are found in the Hopi story? The root has other forms built on the letter a. Is it able or ible Read the excerpt from Roosevelts State of the Union address and the poster below it.As spokesmen for the United States Government, you and I take off our hats to those responsible for our American productionto the owners, managers, and supervisors, to the draftsmen and the engineers, and to the workersmen and womenin factories and arsenals and shipyards and mines and mills and forestsand railroads and on highways.Poster about construction workers.The speech connects factory work to the war by thanking workers in various American industries, whereas the poster relies heavily on repetition and parallelism to convey this connection.diction and images to convey this connection.repetition and colors to convey this connection.parallelism and images to convey this connection. Paul's home base for his first missionary journey was Antioch.TrueFalse Stanton's main purpose in the Declaration of Sentiments is to do which of the following?A. create a new set of laws for women written by womenB. dissolve the political bands connecting men and womenC. demand the same rights and privileges for women as for menD. bring punitive action against men for their crimes against women What kind of story ridicules another story to make a point?O an allusiona punan anecdotea parody Solve pleaseeeeeeeeeeeeee In a public opinion survey, 80 out of a sample of 100 high-income voters and 55 out of a sample of 80 low-income voters supported the introduction of a new national security tax.a/ Estimate, with 95% confidence level, the true proportion of low-income people who will vote for the introduction of the tax.b/ Can we conclude at the 5% level of significance that the proportion of high-income voters favoring the new security tax is 10% higher than that of low-income voters? who were the first inhabitants of South Africa