The half-life of carbon-14 is 5,730 years. Suppose a fossil is found with 20 percent as much of its carbon-14 as compared to a living sample. How old is the fossil

Answers

Answer 1

Answer: The sample is 13414 years old.

Step-by-step explanation:

Expression for rate law for first order kinetics is given by:

[tex]t=\frac{2.303}{k}\log\frac{a}{a-x}[/tex]

where,

k = rate constant  

t = age of sample

a = let initial amount of the reactant= 100

a - x = amount left after decay process= [tex]\frac{20}{100}\times 100=20[/tex]

a) for completion of half life:

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

[tex]t_{\frac{1}{2}}=\frac{0.693}{k}[/tex]

[tex]k=\frac{0.693}{5730}=0.00012years^{-1}[/tex]

b) for completion of 20% of reaction

[tex]t=\frac{2.303}{0.00012}\log\frac{100}{20}[/tex]

[tex]t=13414years[/tex]

The sample is 13414 years old.

Answer 2

Answer:    13,307 years

Step-by-step explanation:   i got it right on the quiz/asignment


Related Questions

Really stuck on this question plz help!

Answers

Answer:

a) 6:51

b)6:42

c)49 mins

Step-by-step explanation:

Progress:
Simplify the expression to a polynomial in standard form:
(3x + 5)(2x2 – 2x – 1)
Answer:
Submit Answer

Answers

    2                                                                                                                                       -6x  -x+15 remove the parennthesies collect like tearms and reoreder like terms then you get your answer

Here are the prices of some items and the amount of sales tax charged on each in Nevada. Cost of Item $10; Tax .57 Cost of Item $50; Tax 2.85 What is the sales tax rate in Nevada?

2.5% 7%
4.8% 5.7%

Answers

The answer is 4.8

Explanation
4.8



explanation: hope this helps

4. Answer the question below using complete sentences. * Rae made a table of x and y values. The relationship between the x and the y values in Rae's table is not a function. One of the values of x is missing from Rae's table, as shown. What is a value of x that Rae could use to complete her table to show that the relationship between x and y is not a function? explain your answer ​

Answers

Answer:

Any of x = {-3, 5, -1, 0}

Step-by-step explanation:

Since the relationship in the table is not a function, Rae could put any values for x that is already in the table.

x = -3, 5, -1, 0

This will result in repeat of x-values with different corresponding y-values.

PLEASE ANSWER I NEED HELP ASAP
The table shows the running speeds of 10 randomly
selected ostriches.
Speed (miles per hour)
35 40 37 33 36 34 32 36 41 36
Based on the data, select the most reasonable prediction about the speed of
ostriches.
A. The typical ostrich runs at speeds greater than 40 miles per hour.
B. The top speed of an ostrich is 40 miles per hour.
C. The typical ostrich runs at a speed of about 30 miles per hour.
O D. The typical ostrich runs at a speed of about 36 miles per hour.

Answers

D the typical ostrich runs at a speed of about 36 mph

U work this out by adding all number together then diving by number of results

So total of results = 360
360/10 results = 36

Answer:

D 36MPH

Step-by-step explanation:

A basketball is price at 37.00 if there is a 7% sales tax what is the final cost of the basketball

Answers

Answer:

$39.59

Step-by-step explanation:

37 increase 7% =

37 × (1 + 7%) = 37 × (1 + 0.07) = 39.59

PLZ HELP...IM GOING TO CRYYYY PLZ..I WILL MARK BRAINLIEST.

Answers

Answer:

x=10

y=30

Step-by-step explanation:

x=-2y+70

x=-2*3x+70

x=-6x+70

7x=70

x=10

y=3x

y=3*10

y=30

A polygon has perimeter 12 units. It is dilated with a scale factor of 3/4. What is the
perimeter of its image?
A. 9 units
B. 12 units
C. 16 units

Answers

9 because 12 x 0.75
—————

With the given scale factor, perimeter of polygon's image is 9 units. Therefore, option A is the correct answer.

Given that, the perimeter of a polygon = 12 units and the scale factor = 3/4.

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

So, 3/4 = Dimensions of the new shape/12

= 3/4 × 12

= 3 × 3

= 9 units

With the given scale factor, perimeter of polygon's image is 9 units. Therefore, option A is the correct answer.

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

#SPJ2

BRAINLIEST ....................................

Answers

9514 1404 393

Answer:

  (b)  7720 mm² of paper

Step-by-step explanation:

The central horizontal rectangle of the net is 80 mm high and ...

  40 + 5.5 + 40 + 5.5 = 91

mm long. Its area 9 is ...

  (80 mm)(91 mm) = 7280 mm²

__

The two pieces of the net not accounted for above are the "flaps" above and below the central rectangle. Each of those two has an area of 40 mm by 5.5 mm, so their total area is ...

  2(40 mm)(5.5 mm) = 440 mm²

Then the area of paper needed for the wrapper is ...

  total area = 7280 mm² + 440 mm²

  total area = 7720 mm²

What is the value of 9(n+2)-5n for n=1/4?

a. 3
b. 9
c. 10
d. 19

Answers

Answer- D-19

Plug 1/4 into the equation and put in ur calculator

Answer:

d

Step-by-step explanation:

If you substitute n with 1/4 it equals 19.

PLEASE HELP ME! 5 questions, I need to know how to get to the answer, not the answer, please. =(
(If you don't know, don't answer. your just taking my points and are not helping me at all)
If you can help, please, DOO!
Thank you.
There are 5 questions.

Answers

Answer:

first one is .6

second is -3.6105

third is -3

fourth could be either 1/4, .25, or 2^-2 (they're all the same thing though)

last one could be either 1/3, .3, or 3^-1 (they're all the same thing though)

The length of the rectangular field is two times its breadth. If the perimeter of the field is 300m, find the length and breadth.

Answers

Answer:

Youu can call the breadth x and then, as the length is two times the breadth, it would be 2x.

So now when we call x to the breadth and 2x to the length we can do an equation, as we know the sum of the four sides is 300 meters, so

2x + 2x + x + x = 300

6x = 300

x = 300/6 = 50

We know that the breadth is 50m, and, the length, which is twice the breadth, would be 100m in this exercise.

SO in this case, the breadth is 50 meters and the length is 100 meters..

Please help whats the answer

Answers

The Answer is -12x+6

In the zoo, there are 12 elephants, 8 giraffes, 9 lions, 10 seals, and 16 otters.

What is the ratio of elephants to all the animals at the zoo?

Answers

Answer:

16/55

Step-by-step explanation:

If you add all the animals together then put it in fraction form you have 16/55

THE ANSWER SHOULD BE 12:55

find the sum of x^2 + 3x and 2x^2 + 9x + 5

Answers

Answer:

[tex] 3 {x}^{2} + 12x + 5[/tex]

Step-by-step explanation:

[tex](x^2 + 3x) + (2x^2 + 9x + 5) \\ \\ = x^2 + 3x + 2x^2 + 9x + 5 \\ \\ = {x}^{2} + 2 {x}^{2} + 3x + 9x + 5 \\ \\ = 3 {x}^{2} + 12x + 5[/tex]

rhoda pays for internet access each month The graph shows the relaionship

Answers

Answer:

more info??

Step By Step:

There are 9 apples and 24 plums in a fruit bowl. What is the ratio of plums to apples?

Answers

Answer:

24:9 or 24 to 9 or [tex]\frac{24}{9}[/tex]

Step-by-step explanation:

The amount of plums is 24. The amount of apples is 9. So to write the ratio of plums (24) to apples (9), you write 24 to 9. You can either write a colon - 24:9 - a to - 24 to 9 - or as a fraction - [tex]\frac{24}{9}[/tex]. But, you have to write it with plums first.

Hope it helps!

Use the Pythagorean Theorem or knowledge on special right triangles to find the missing variable in the following triangles.


Round your answer to the nearest hundredth when necessary (help ASAP)

Answers

Answer: K = 28^2, C = x^2, W = X^2, G = 22^2, T = X^2, and last but not least, A = X^2.

Step-by-step explanation:

For this you need to use the Pythagorean Theorem formula. A^2 + B^2 = C^2. Then you plug in your numbers. For this problem. You got figure out your As, your Bs, and last but not least, your Cs.

I hope this helps you solve the problem.

Assume that x = x(t) and y = y(t). Let y = x^2 + 6 and
dx/dt=4 when x=1
Find dy/dt when x = 1​

Answers

Answer:

[tex]\frac{dy}{dt}[/tex] = 8

Step-by-step explanation:

Given:

x = x(t) and y = y(t)

Let y = x² + 6

By differentiating the given equation with respect to t,

[tex]\frac{dy}{dt}=\frac{d}{dt}(x^{2}+6)[/tex]

[tex]\frac{dy}{dt}=\frac{d}{dt}(x^{2})+\frac{d}{dt}(6)[/tex]

Since, [tex]\frac{dx}{dt}=4[/tex] when x = 1

[tex]\frac{dy}{dt}=2x\frac{dx}{dt}+\frac{d}{dt}(6)[/tex]

[tex]\frac{dy}{dt}=2(1)(4)+0[/tex] [By substituting the values of [tex]\frac{dx}{dt}[/tex] and x = 1]

[tex]\frac{dy}{dt}[/tex] = 8

How to find the line of reflection on a graph?

Answers

Answer:

can you show us the graph

Help me pls I need help right now

Answers

Answer:

The Volume is 72 cm^3.

Step-by-step explanation:

A customer calls your landscaping business already knowing the total area of a circular garden they are going to have landscaped. The area of the garden is 33.26 yards². For the work they are asking you to do, you need to calculate the radius. Remember to work the Area formula backwards to solve for the radius.

Answers

Answer:

Step-by-step explanation:

Area = πr²

πr² = 33.26

r = √(33.25/π) ≈ 3.25 yards

HELP (ENGLISH)
Amira is preheating her oven before using it to bake. The initial temperature of the oven is 75° and the temperature will increase at a rate of 20° per minute after being turned on. What is the temperature of the oven 9 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on?

Answers

The expression should be 75+20x. For every nine minutes (75+20(9)) the oven temperature should be at 255 degrees.

Marsha made a wreath for her front door. The diameter of the wreath is 12 inches.


What is the circumference of the wreath?

Answers

31pie hope it helps not look

Please help


Select ALL the true equations.

1. 5 + 0 = 0

2. 15 x 0 = 0

3. 1.4 + 2.7 =4.1

4. 2/3 x 5/9 = 7/12

5. 4 2/3 = 5 - 1/3

Answers

True equations:

- 15 x 0 = 0
- 1.4 + 2.7 = 4.1
- 4 2/3 = 5 - 1/3

The True equations are

2. 15 x 0 =0

3. 1.4 + 2.7 = 4.1

5. 4 2/3 = 5- 1/3

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

1. 5 + 0 = 0

5 = 0

This is not an equation because LHS ≠ RHS.

2. 15 x 0 =0

0= 0

This is an Equation.

3. 1.4 + 2.7 = 4.1

4.1 = 4.1

This is an Equation.

4. 2/3 x 5/9 = 7/12

10/ 27= 7/12

This is not an Equation.

5. 4 2/3 = 5- 1/3

14/3 = 14/3

This is an Equation

Learn more about Equation here:

https://brainly.com/question/29538993

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please answer I have a freaking e in my math class​

Answers

Answer: I would answer but the image is blocked for me- can you type the problem by any chance?

Step-by-step explanation:

Answer:

3 feet

Step-by-step explanation:

Initial value usually means the y value when x=0

Four basketballs and six baseballs cost $44. Five basketballs and four baseballs costs $48. Determine the cost for one basketball and one baseball.

Answers

Answer:cost for basket ball= $8 and

cost of baseball = $2

Step-by-step explanation:

Step 1

Let the cost of basket ball be represented as x

and cost of  baseball = y          such that

Four basketballs and six baseballs cost $44 will be expressed as

4x+ 6y= 44  --- eqn 1   also

Five basketballs and four baseballs costs $48 will be expressed as

5x+ 4y= 48--- eqn 2

Step 2

Having obtained two expressions we can now sole

4x+ 6y= 44  --- eqn 1

5x+ 4y= 48--- eqn 2

multiplying eqn 1 by 5 and eqn 2 by 4

20x+ 30y =220---- eqn 3

20x+ 16y=192-----eqn 4

subtracting equation 4 from 3   we now have

14y=28

y= 28/14

y=2 = $2

from equation 1

4x+ 6y= 44, putting the value of y=7 to find x

4x+ 6(2)= 44

4x+12= 44

4x= 44-12

4x=32

x= 32/4

x=8=$8

cost for basket ball= $8 and

cost of baseball = $2

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y = -5/6x - 2

Step-by-step explanation:

The y-intercept is -2 because that is where the line crosses the y-axis Remember that slope is rise/run (there are many other terms for slope but this is the one I will reference). Therefore, the slope from one point to the next is down 5 and over 6. Since this is a decreasing slope (down 5), your slope will be negative

Wanda is making a border around her garden. She buys 9 bricks for her border. The bricks
weigh 27 kilograms in all.
How much does each brick weight

Answers

Answer:

3 kilograms...........

Answer:

27 ÷ 9 = 3

well , yeah , am i right ?

Juan's mother gave him a recipe for trail mix.

3
4
cup cereal
2
3
cup almonds
1
3
cup raisins
1
2
cup peanuts

Order the ingredients used in the recipe from least to greatest.

Answers

Answer:

Cereal 3/4, Almonds 2/3, Raisins 1/3, Peanuts 1/2

Step-by-step explanation:

This is in The order from Least to Greatest and i hope this helps you i had to do a little thinking about it first. :)

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