A fossilized leaf contains 8% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as the half-life of carbon 14.

Answers

Answer 1

Answer:

Step-by-step explanation:

0.5^(t/5600) = 0.08

2^(-t/5600) = 0.08

-t/5600 = log₂0.08

t = -5600 log₂0.08 ≈ 20406 years


Related Questions

whats greater .12 or 12/16​

Answers

Answer:

12/16 is greater than 0.12.

Step-by-step explanation:

0.12 = 12/100 = 6/50 = 3/25

12/16 = 3/4.

So, 12/16 is greater than 0.12.

Answer:

12/16 is greater than

12/16 as a decimal would be .75 so its greater than .12

anyone no 8th grade math if so please help my sister out

Answers

Answer:

2/5

Step-by-step explanation:

you want to start with the point on the left and then count 2 up to the line that the other point is on than you count over 5 to the point on the right

then you put rise over run which makes it 2/5

Answer:

2/5

Step-by-step explanation:

rise over run formula

Therefore the slope is increasing by two fifths units.

2/5 is your answer. ❤

Brainliest please!? ✌

write an equation for the line that passes through the points (-1,-12) and (4,8)​

Answers

Answer:

y = 4x - 8

Step-by-step explanation:

(-1, -12) & (4, 8)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(8 - (-12)) / (4 - (-1))

Simplify the parentheses.

= (8 + 12) / (4 + 1)

= (20) / (5)

Simplify the fraction.

20/5

= 4

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 4x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (4, 8). Plug in the x and y values into the x and y of the standard equation.

8 = 4(4) + b

To find b, multiply the slope and the input of x(4)

8 = 16 + b

Now, subtract 16 from both sides to isolate b.

-8 = b

Plug this into your standard equation.

y = 4x - 8

This is your equation.

Check this by plugging in the other point you have not checked yet (-1, -12).

y = 4x - 8

-12 = 4(-1) - 8

-12 = -4 - 8

- 12 = -12

Your equation is correct.

Hope this helps!

Write the quadratic equation where the roots are -1/3 and 5

Answers

Answer:

f(x) = 3x² - 14x - 5

Step-by-step explanation:

multiply the factors: (x + 1/3)(x - 5)

x² - 5x + 1/3x - 5/3

x² -14/3x - 5/3

multiply by 3 to eliminate fractions:

3x² - 14x - 5

Omar invests £6000 for 4 years in a savings account. He will get 1.5 % per year compound interest. Work out the total amount of that will be in Omar accounts by the end of the 4 years. Round your answer to the nearest pound.

The answer is either

6361
6369
6360
Or 6368

Answers

Answer:

£6368

Step-by-step explanation:

You can start by making a formula, which will be:

100/100=1

1.5/100=0.015

1+0.015=1.015 (your multiplyer)

6000*1.015^n= your money after 4 years

(n represents the number of years)

Now you just put in the number of years:

6000*1.015^4=6368.181304

Now round:

Answed= £6368

The function f(x) = 15x + 2 What is the meaning of the slope of the function?

Answers

Answer:

15

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept.

Please hurry it’s timed

Answers

The second one is the answer

An electrician bought 120 feet of electrical wire and used 105 feet of it
What percent of the wire went unused?
A 15%
B 12.5%
C 8.75%
D 7%

Answers

Answer:

B. 12.5%

Step-by-step explanation:

Find how much was unused:

120 - 105

= 15

To find what percent this is, divide it by 120:

15/120

= 0.125

Multiply this by 100:

0.125(100)

= 12.5

So, 12.5% of the wire went unused

The correct answer is B. 12.5%

Pleaseee helpppp answer correctly !!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

10.4 meters

Step-by-step explanation:

The school’s fish eat 1/5 jar of food per day. How many days will 4 1/2 jars feed them? Possible answers
: 22 1/2days, 21 days, 21 1/2 days, 22 days

Answers

Answer:

22 1/2 days

Step-by-step explanation:

All you gotta do is divide!

abcdefghijklmnopqrstuvwxyz??

Answers

Answer:

Answer:

Step-by-step explanation:

Nice dog!

Have a great day!

very good boy/girl :)

which of the following is a phytogrean triples ​

Answers

Answer:

Of these, only 16 are primitive triplets with hypotenuse less than 100: (3, 4,5), (5, 12, 13), (8, 15, 17), (7, 24, 25), (20, 21, 29), (12, 35, 37), (9, 40, 41), (28, 45, 53), (11, 60, 61), (33, 56, 65), (16, 63, 65), (48, 55, 73), (36, 77, 85), (13, 84, 85), (39, 80, 89), and (65, 72, 97) (OEIS A046086, A046087, and ...

Step-by-step explanation:

your answer

2. 252 - 200 – 8 x 5 = 247
Insert parenthesis to make the answer true

Answers

um hmu umumum mum um

Select the equations that show a proportional relationship between x and y.
y = 3x - 3
y = 3x

Answers

Answer:

The answer is the 2nd one.

PLEASE SHOW WORK ILL GIVE BRAINLIEST

Answers

Answer:

[tex]\frac{9}{20}[/tex] [tex]miles^{2}[/tex]

Step-by-step explanation:

To find the area of a rectangle, use the formula A = l*w, where l is the length and w is the width.

A = [tex]\frac{9}{10}[/tex] x [tex]\frac{1}{2}[/tex] = [tex]\frac{9}{20}[/tex] [tex]miles^{2}[/tex]

Which sets of ordered pairs represent functions from A to B? (Select all that apply.)

A = {0, 1, 2, 3} and B = {−2, −1, 0, 1, 2}

A. {(0, 2), (3, 0), (1, 1)}

B. {(0, 0), (1, 0), (2, 0), (3, 0)}

C. {(0, −1), (2, 2), (1, −2), (3, 0), (1, 1)}

D. {(0, 1), (1, −2), (2, 0), (3, 2)}

Answers

10+10+19+26+16631+177372=x

Abigail's grandmother gave her a square shaped quilt that was made up of 256 small squares. How many squares are on each side of the quilt?​

Answers

Answer:

64

Step-by-step explanation:

you divide 256 four times

Janet bought a book for $19.95, and the tax was 6.25%. including tax how much did she pay round to nearest cent​

Answers

Answer:$21.2

Step-by-step explanation:

multiply 19.25*6.25 then divide by 100 then add that answer onto 19.25 to then get an estimate of 21.2 dollars

A plane leaves an airport traveling at 400 mph in the direction N 45° E. A wind is blowing at 40 mph in the direction N 45° W. What is the ground speed of the plane?

400 mph
402 mph
429 mph
440 mph

Answers

i would say c maybe?

Answer: B - 402

Edge 2020

A road roller with a 55-inch
diameter is traveling at
3 miles per hour. How many
revolutions per minute is
the roller turning? Round
your answer to the
nearest tenth

Answers

Answer:

18.34times

Step-by-step explanation:

the explanation is given in the pictures...

The road roller is turning at the rate of [tex]18.3rev/minute[/tex]

To get our answer, first note that

[tex]speed=\dfrac{distance}{time}[/tex]

since the distance travelled by the road roller can be gotten by

[tex]distance= circumference\times revolutions[/tex]

our speed formula can be expressed as

[tex]speed=\dfrac{circumference\times revolutions}{time}[/tex]

making the number of revolutions the subject of the formula, we get

[tex]revolutions=\dfrac{speed \times time}{circumference}[/tex]

carrying out the following substitutions

[tex]speed=3miles/hour=\frac{3\times63360}{60}inches/minute=3168inches/minute\\time=1minute\\circumference=2\times3.14\times\frac{55}{2}=172.7inches[/tex]

we can now calculate the number of revolutions

[tex]revolutions=\dfrac{speed\times time}{circumference}\\\\=\dfrac{3168\times 1}{172.7}\approx18.3rev/minute\text{ (to the nearest tenth)}\\\\[/tex]

Learn more about circumference of circles here https://brainly.com/question/5688156

For which values of x are the following expressions undefined?
1.1
- 3
x + 7​

Answers

Answer:

please send the question completely

Answer: To find the values that make a rational expression undefined, set the denominator equal to zero and solve the resulting equation. Example: 0 7 2 3 x x − Is undefined because the zero is in the denominator.This should make it ez for you hope you do a good job on the quiz/test/project/homework-Tay did thiscan i get the brain thing pls

Answer please
A
B
C
D











Answers

Answer:

B

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

The graphs of square root functions are always curved.

Can someone help me solve this (solution must contain a point (x,y).

Answers

Answer:(6,2)

Step-by-step explanation:

Photomath

Answer:

x=6

y=2

(x,y)=(6,2)

.................................

I will give 20 points to whoever answers this right
Dan buys a car for £700.
It depreciates at a rate of 5.5% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

£469

Step-by-step explanation:

So 6 years mean it has depretiatied to 5.5*6 = 33% meaning the car is worth 67% of what it was originally worth

First do 700 / 100 to find what the car is equal to when it's 1% which is 7, after than multiply its new value of 67%,

so 7*67 = £469

Answer:

$469

Step-by-step explanation:

To find the amount of money that the car loses in value every year, multiply the price of the car by the rate its value depreciates at in decimal form.

The car depreciates at a rate of 5.5% per year. To find 5.5% in decimal form, move the decimal point to left twice. So, 5.5% in decimal form is 0.055.

700 * 0.055 = 38.5

The car loses $38.50 in value every year, so the car's value will depreciate by 6 times that amount in 6 years.

$38.50 * 6 = $231, so the car will lose $231 in value after 6 years.

700 - 231 = 469

The car will be worth $469 in 6 years.

If 1/4 gallons of water are enough to fill 7/10 of the pool how much water is nessacary to fill in the entire pool

Answers

Answer:  5/14 gallons

============================================================

Work Shown:

1/4 = 0.25

7/10 = 0.70 = 70%

We are told that 0.25 gallons of water fills 70% of the pool

We want to find how many gallons of water (call it x) are needed to fill 100% of the pool.

Set up the proportion below and solve for x

(0.25 gallons)/(70% filled) = (x gallons)/(100% filled)

0.25/70 = x/100

0.25*100 = 70x ....... cross multiply

25 = 70x

70x = 25

x = 25/70

x = (5*5)/(5*14)

x = 5/14 gallons

----------------------------------------

An alternate method:

1/4 gallons = 7/10 pools filled

(10/7)*(1/4 gallons) = (10/7)*(7/10 pools filled)

(10*1)/(7*4) gallons = (10*7)/(7*10) pools filled

10/28 gallons = 1 pool filled

(5*2)/(14*2) gallons = 1 pool filled

5/14 gallons = 1 pool filled

In the second step, I multiplied both sides by 10/7 so that the "7/10" turns into "1".

----------------------------------------

Yet another alternate method:

1/4 = 10/40

7/10 = 28/40

We need 10/40 gallons of water to fill 28/40 of one pool. We can multiply both fractions by 40 to indicate that 10 gallons of water will fill up 28 pools.

So we have this ratio

10 gallons : 28 pools

Dividing both parts by 28 tells us how many gallons are needed for one pool

10 gallons : 28 pools

10/28 gallons : 28/28 pools

10/28 gallons : 1 pool

5/14 gallons : 1 pool

PLS HELP. I dont understand math

Answers

Answer:

a) 2 + 1 = 3

   4 + 2 = 6

   6 + 3 = 9

b) Yes

c) Yes, since you are adding b to two b, which results in 3b

Step-by-step explanation:

Hope that helps!

Help me plss plss I really need help I have a f

Answers

Answer:

A. 5 1/2 and D. 11/2

Step-by-step explanation:

Make improper fraction

8*1+3=11/8

Solve by multiplying:

4*11/8

44/8

Simplified is 11/2

We can turn it back into a mixed number

2*5+1=11 so 5 1/2

Can you help me please I can't get it

Answers

Answer:

-2x - 6 = 2 - 4x - (x - 1)

-2x - 6 = 2 - 4x - x + 1

-2x - 6 = 3 - 5x

3x = 9

That is the furthest it can be simplified without solving it.

Answer is x=3 if needed.

Please brainliest if this helped.

I NEED HELP ITS KINDA EASY BUT NOT FOR ME

Answers

Answer:

28m

Step-by-step explanation:

Formula of area

AREA = LENGTH (multiply) BREATH

Answer:

The area of a triangle can be calculated with the formula: 1/2(bh), where b is the base length, and h is the height.

In this case, 4 is the base, and 7 is the height.

So we have: Area = 1/2(4)(7)

Simplifying: Area = 2(7), Area = 14.

The area of the triangle is 14 meters squared.

Let me know if this helps!

1. Jared has portrait in shape of a square. One side length, in inches, is the sum of 7 and L

Jamilah also has a portrait in shape of a square. The length of one side is 3 inches longer

than one side of Jared's portrait. What is one side length of Jamilah's portrait?

Answers

Answer:

7 + L + 3 = L + 10

Step-by-step explanation:

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