PROBLEM SOLVING When a plant or animal dies, it stops acquiring carbon-14 from the atmosphere. The amount y in grams) of carbon-14 in the body of an organism after t years is y= a(0.5)^t/5730, where a is the initial amount (in grams). What percent of the carbon-14 is released each year? Round your answer to the nearest hundredth.

Answers

Answer 1

Answer:

0.01%

Step-by-step explanation:

y=a (0.5)^t/5730

y=a [(0.5)^t/5730]

when you put 0.5^1/5730

it'll give you 0.99

The "equation" is y=a(1-r)^t

so 1-0.99 is 0.01

Answer 2

The percent of carbon-14 released each year will be 50.

What is an exponent?

Consider the function:

y = a (1 ± r) ˣ

Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, then there is exponential growth happening by r fraction or 100r %.

If there is a minus sign, then there is exponential decay happening by r fraction or 100r %.

The equation is given below.

[tex]\rm y= a \left ( 0.5 \right )^{t/5730}[/tex]

Where 'a' is the initial amount (in grams) and 't' represents the number of years.

The equation is also written as,

[tex]\rm y= a \left ( 0.5 \right )^{t/5730}\\\\\rm y= a \left ( 1 - 0.5 \right )^{t/5730}[/tex]

The percent of carbon-14 released each year will be 50.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ2


Related Questions

Calculate the question below by assumed mean method... class 10

Answers

The formula to calculate mean= Add the numbers and Divide by how many numbers( there are 7 numbers)..............

If the answer is wrong.....

Sorry, because I read in class nine........

What is the solution to the system of equations?

{y=5x−10y=−3x+14

Answers

Answer:

x = 3 and y = 5

Step-by-step explanation:

Given equations are :

y=5x−10 ..(1)

y=−3x+14 ...(2)

Subtract equation (2) from (1).

y-y = 5x−10-(−3x+14)

0 = 5x-10+3x-14

0= 8x-24

8x = 24

x = 3

Put the value of x in equation (1).

y=5(3)−10

= 15-10

y = 5

So, the values of x and y are 3 and 5 respectively.

A line segment with endpoints (7,5) and (10, 1) is reflected across the line y = -x. Which pair of coordinates represents the endpoints of the given segment after the reflection?
A (-7, 5) and (-10, 1)
B (-5, -7) and (-1, -10)
C(5, 7) and (1, 10)
D (7,-5) and (10,-1)​

Answers

Answer:

D. (7,-5) and (10,-1)

Step-by-step explanation:

Because 7 and 10 are on the Y and -5 and -1 is on the X

There are 12 pieces of fruit in a bowl and 3 of them are apples. What percentage of the pieces of fruit in the bowl are apples?

Answers

Answer:

25%

Step-by-step explanation:

3/12 = 1/4 = 0.25 = 25%

what is the common ratio of the geometric sequence below? –2, 4, –8, 16, –32, ...

Answers

Answer:

The common ratio of the geometric sequence is:

[tex]r=-2[/tex]

Step-by-step explanation:

A geometric sequence has a constant ratio 'r' and is defined by

[tex]a_n=a_1\cdot r^{n-1}[/tex]

where

aₙ is the nth terma₁ is the first termr is the common ratio

Given the sequence

[tex]-2,\:4,-8,\:16,\:-32,\:...[/tex]

Compute the ratios of all the adjacent terms:  [tex]r=\frac{a_n+1}{a_n}[/tex]

[tex]\frac{4}{-2}=-2,\:\quad \frac{-8}{4}=-2,\:\quad \frac{16}{-8}=-2,\:\quad \frac{-32}{16}=-2[/tex]

The ratio of all the adjacent terms is the same and equal to

[tex]r=-2[/tex]

Therefore, the common ratio of the geometric sequence is:

[tex]r=-2[/tex]

I need help with this problem, if someone could answer it, it'd make me happy^^
Find y in XYZ if measure Y = 36, measure X = 49, and x = 12.

Answer choice:
A. 0.04
B. 9.35
C. 14.80
D. 15.41

Answers

Hi I just saw your message yesterday I am really excited to hear ok byeee 2348 ok. Hi

Need help! Thank you!

Answers

Answer:

[tex] \frac{ \sqrt{10} }{5} [/tex]

or .632

Step-by-step explanation:

You have the beginning right.

However, it is X squared, so once you have the answer from adding the two fractions together, you have to Square Root that answer.

Answer:

x= √(10/25)

Step-by-step explanation:

From what you've written, you're on the right track. The formula is a^2+b^2=c^2. our two sides are a and b (doesn't really matter here which is which). And the hypotenuse, the longest leg the diagonal, is always c. Based on your substitution, everything is correct, except x. x should be squared. so the equation you should have is (1/5)^2 + (3/5)^2=x^2. From there, solve for x by adding a^2 and b^2 to get 10/25 = x^2.

Take the square root of each side to find √(10/25)=√(x^2). This is simplified as x equals plus or minus √(10/25). it's plus or minus because you took the square root. It's important to write that when solving square root. However, since this is a triangle your answer will be positive(you can't have negative distance).

Find the area of the rectangle

Answers

A = wl
A = (5)(7)
A = 35

Step-by-step explanation:

Length : 7cm

Breadth : 5cm

Area of a rectangle :

Length × Breadth

[tex]Area = 7cm \times 5cm \\ = 35 {cm}^{2} [/tex]

plssssssssss helpppppppppppppp

Answers

Answer:

its A

Step-by-step explanation:

can i have brainliest

it is a because why not? huh how you doing

What is m∠8 if m∠4 = 50°?

Answers

Answer:

it would also equal 50

Step-by-step explanation:

angle 4 and angle 8 are corresponding angles meaning that they are the same angle

a, they make the same angle therefore have the same measurement

Because 10 lies between two consecutive perfect squares ___ and ___ square root of 10 is located between the square roots of these twi numbers. This means the square root of 10 is located between 3 and 4

Answers

Answer:

wut

Step-by-step explanation:

Mark works at a rock concert selling programs. He is paid $15 for
the night plus 20¢ for each program that he sells. He sells 150
programs. How much does he earn working at the rock concert?​

Answers

Answer:

$45

Step-by-step explanation:

15 + (150 * 0.20)

15 + 30

$45

Look at this set of ordered pairs:
(15,4)
(2, 1)
(20, 16)
(13, 14)
Is this relation a function?
yes
no
O Yes
Ο O No

Answers

Answer:

Yes

Step-by-step explanation:

function

A set of ordered pairs where each first element is paired with one and only one second element and no element in either pair is without a partner.

5x +2y=-9
3x+4y= -11
por el método de igualacion porfavor hacerlo en folio y me mandáis una foto si no no entiendo​

Answers

Answer:

x = -1

y = -2

Step-by-step explanation:

5x + 2y = -9      2y = -9 - 5x      y=(-9-5x)/2

3x + 4y = -11

3x+4[(-9-5x)/2] = -11

3x+( -36-20x)/2 = -11

3x-18-10x = -11

-7x = 7

x = -1

y = -2

Answer:

x = −1 and y = −2

Step-by-step explanation:

Utilicé sustitución.

Mire las imágenes para obtener una explicación paso a paso.

Can somebody plz help write the equation for each question correclty thanks :D
(Only if u done these before) :3

WILL MARK BRAINLIEST :DD

Answers

Answer:

1. 482

2. 60

HOPE THIS HELPS YOU

Answer

20. 470 = x - 12 (Solving for X: There was 482 pages before decreasing by 12)

21. 65 = x + 5  (Solving for X: There was 60 pages read before reading 5 more)

Help for brainliest.

Answers

Answer:

160 hope this work!!! love

HELP ME PLEASE!!!!ITS DUE TODAY!!

Answers

Answer:

234

Step-by-step explanation:

1950 x 0.88 = 1716 paid

1950-1716 = 234

A factory increased its production by 22%and produced 4900tonnes. How many tonnes was it producing before

Answers

Answer:

whfjajfigiiwitohoeirtiririri neji

Does the point (4, 25) satisfy the equation y = 7x + –3?

Answers

Answer:

yes,  point (4, 25) satisfies the equation y = 7x + –3

Step-by-step explanation:

to see if the point satisfies the equation, we need to plug in the x coordinate to get y

if y is equal to the y-coordinate, then the point satisfies the equation

if y does not equal the y-coordinate, then the point does not satisfy the equation:

y = 7(4) + - 3

y = 28 + -3

y = 25

does 25 = 25? Yes! so the point satisfied the equation

Answer:

yes

Step-by-step explanation:

7(x)- 3 = y

7(4) - 3 = (y)

28 - 3 = 25

NEED HELP ASAP

The Ramirez Family is planning to put an above ground swimming pool in their back yard. Their yard is a 38 ft by 58 ft rectangle and the pool will be a circle with a diameter of 16 ft, as shown below. They will fill the rest of their yard with grass.

Answers

Answer: It would be approximately 2000 ft.

Step-by-step explanation:

Which graphs cannot represent a proportional relationship? Explain how you know.
PLEASE THIS IS DUE AT 11p.m

(i put the other one in the wrong subject)

Answers

B and C
because the lines are not passing through the origin

Answer:

A and D

Step-by-step explanation:

because they pass through the origin

3 (2x+8) = 60 x=____​

Answers

x = 6

Step-by-step Explanation:

(Original problem) 3(2x+8)=60

Multiply 3 to 2x and 8: 6x+24=60

Subtract 24 on both sides of the equation: 6x+24=60
-24 -24
6x=36

Divide both sides by 6: 6x/6 = 36/6

Final result: x = 6

Answer:

x=4/9

Step-by-step explanation:

3(2x+8)=60x

6x+24=60x

6x+24-24=60x-24 -60x

-54x=-24

-54x= -24

x= 4/9

If x + 3 = 13, then the value of 5x – 74 is

Answers

Answer:

-24

Step-by-step explanation:

We are given two equations and are asked to solve if one equals a certain amount to the other.

Let's focus on x + 3 = 13, we need to first figure out what is x. Which is very simple, what plus 3 equals 13?

10 of course, therefore x = 10, and we can implement into the other equation.

5x - 74

Since x = 10, we can substitute x with 10 and then multiply.

5(10) - 74

50 - 74

What is 50 - 74?

-24

(3x 2 + 5x - 8) and (x^2-3x + 2)

Answers

Answer:

(3x 2 + 5x - 8) = (3x+8)(x−1)

(x^2-3x + 2)= (x−1)(x−2)

Step-by-step explanation:

you just have to factor

Answer:

1) 11x-8

2)       x2-3x+2      

Step-by-step explanation:

if it is correct plz plz mark as brainliest

thank you

19NBoli

Ocean waves crash on the beach at a
velocity of 4.4 m/s. If the distance
between the crest of each wave is 4m,
find the frequency of the waves.

Answers

Answer:

f = 1.1 Hz

Step-by-step explanation:

Given that,

The velocity of an ocean wave, v = 4.4 m/s

The distance  between the crest of each wave is 4 m.

We need to find the frequency of the waves.

The distance between the crest of a wave is called the wavelength of a wave.

The relation between the frequency, wavelength and the velocity of a wave is given by :

[tex]v=f\lambda\\\\f=\dfrac{v}{\lambda}\\\\f=\dfrac{4.4}{4}\\\\f=1.1\ Hz[/tex]

So, the frequency of the waves is 1.1 Hz.

Zoom in to see better pls help!!

Answers

Answer:

12 inches

Step-by-step explanation:

The answer is 12 inches

evaluate the expression
5x2^2

Answers

Answer:

2 ez cuh the answer is

20 x

Step-by-step explanation:

please give me brainlist I just need 3 more

Answer:

20

Step-by-step explanation:

Ok so,

2^2 = 4

*i'm just rewriting the expression*

so now it would be 5x4 which would be 20.

hope this helps! have a good day! pls mark brainliest!!!


Identify the initial amount a and the rate of growthr (as a percent) of the exponential function y = 25(1.2). Evaluate the function when t = 5. Round your answer to the nearest
tenth
a=
T=%
When t = 5, y =

Answers

A=25
T=20%

can you write the complete function so i can get y ? is it power t or what ?

3) Calculate the area of the entire triangle below. Show your work *

22
31
8

Answers

Answer:

a = 1/2 (b) (h)

Step-by-step explanation:

Use Pythagorean theorem for sub triangle on the left: 8^2 + h^2 = 22^2

Use Pythagorean again for sub triangle on the right: x^2 + h^2= 31^2

Find your base: 8+x=b

Find entire area: a = 1/2 (b) (h)

A fruit punch recipe requires 2 cups of grape juice for every 3 cups of apple juice. How
many cups of apple juice will you need if you use 9 cups of grape juice? Use a double
number line to help you answer the question. (4)

Answers

Answer:

9 cups of grape juice = 10 cups of apple juice.

Step-by-step explanation:

2 cups of grape juice = 3 cups of apple juice

9 cups of grape juice = ? cups of apple juice

9-2=7 cups of grape juice

3+7=10 cups of apple juice

9 cups of grape juice = 10 cups of apple juice.

Other Questions
RiMR2R37.24Voshm42 a PLEASE HELP ME!!! ILL GIVE U BRAINLIEST 3) Calculate the area of the entire triangle below. Show your work *22318 I need help with this problem, if someone could answer it, it'd make me happy^^Find y in XYZ if measure Y = 36, measure X = 49, and x = 12.Answer choice:A. 0.04B. 9.35C. 14.80D. 15.41 Identify the initial amount a and the rate of growthr (as a percent) of the exponential function y = 25(1.2). Evaluate the function when t = 5. Round your answer to the nearesttentha=T=%When t = 5, y = (3x 2 + 5x - 8) and (x^2-3x + 2) Pls help Ill brainlest ASAP If the government places a $2 tax per bag of potato chips on the producers, what would the consumers of potato chips observe? a. There would be no change in price and the consumer would not notice. b. The government would tax individuals who bought too many potato chips. c. Consumers would pay the full $2 tax in the form of a price increase. d. The price of potato chips would rise by some amount, but by less than $2. Question 5 (1 point) PLEASE HELPJessie teaches contractors how to sand and finish hardwood floors. The most appropriate pathway in the Education and Training career cluster for Jessie's job is the Teaching and Training pathway. True or False if cos theta = 3/5, then tan theta = Which measure is equivalent to 3 mi?1 ft = 12 in.1 mi = 5280 ft440 in.15,840 in.63,360 in. The photograph shows a community. What kind of community is shown?A. A mountainous communityB. An agricultural communityC. A metropolitan communityD. A coastal community Look at the route that the Cherokee took on the Trail of Tears. Consider that they traveled on foot during the winter of 1838. What might explain why so many died during this journey? What is the energy of an electron in the third energy level of hydrogen? define biomass plzzzzzzzzzz If you score a 99, what percentage of the population scored above you? Write a ratio, in simplest form, and a percent for the shaded area. (3x4)3/10, 27%1/2, 50%1/3, 33.33%3/10, 30% how do you solve for x? 3 + 2x = 4y Suppose that f (x) = 1.5x2 for -1 < x < 1 and f (x) = 0 otherwise. Determine the following probabilities.a. P(0 < X)b. P(0.5 < X)c. P(-0.5 = X = 0.5)d. P(X-0.5)f. Determine x such that P(x < X) = 0.05. Which of these polygons is not a regular polygon?BDBA