Mathematics College

This exercise uses the radioactive decay model The burial cloth of an Egyptian mummy is estimated to contain 60% of the carbon-14 it contained originally. How long ago was the mummy buried? (The half-life of carbon- 14 is 5730 years. Round your answer to the nearest ten years.)

Answers

Answer 1

Answer:

4257 years

Step-by-step explanation:

Given that:

Half-life of carbon 14 (t1/2) = 5730

Estimated carbon 14 content = 60% of amount of carbon 14 = 0.6

Using the model :

m(t) = mo*e^-rt

Decay rate (r) = In2/t1/2 = 0.00012

mo = initial mass

Hence,

Mass of carbon 14 in mummy m(t) = 0.6mo

0.6mo = mo*e^-(0.00012 * t)

0.6 = e^-(0.00012 * t)

Take the ln of both sides

In(0.6) = - 0.00012t

−0.510825 = - 0.00012t

t = 0.510825 / 0.00012

t = 4256.875

t = 4257 (nearest whole number)

Related Questions

What is the y-intercept of this line?
A)
(2,0)
B)
(0, 2)
C)
(0,0)
D)
(0, -2)

Answers

Answer:
B) (0, 2)
General Formulas and Concepts:
- Reading a Cartesian Plane
The y-intercept is the y-value when x = 0. It is also when the graph crosses the y-axis.
Step-by-Step Explanation:
According the the graph given, the graph crosses the y-axis at 2. Therefore, when x = 0, y = 2, and we have our y-int.

You invested 50,000 in a bank that pays 4.5% monthly simple interest, How much do you have after 2.5 years?

Answers

Answer:

I trhink you´ll have 117000

my explanation:

4.5 × 12=54%

54%=1 year

54% + 54%

108% + 27%

135% =67000

67000 + 50000

What is the formula for the area of a square?

Answers

Answer:

Area of a square = side times side. Since each side of a square is the same, it can simply be the length of one side squared. If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches. (Square inches can also be written in2.)

Answer:

lxwxtor you can up it in the calculator

what is 0.44×(−534) ??

Answers

Answer:

−234.96

Step-by-step explanation:

Hope its the right answer that you're looking for :)

An ice cream shop ordered a box of 700 cones. When they opened the box, they noticed 164 of the cones were broken. How many cones do they have left? *

Answers

Answer:

The answer would be 536 cones.

Step-by-step explanation:

You have to subtract 164 from 700.

700-164=536.

Determine whether it is possible to draw a triangle with sides having the given measures. If possible, write yes. If not possible write no and make a sketch demonstrating why it isn’t possible

Answers

Answer: No, it is not possible to form a triangle with these side lengths.

The sketch is provided below

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

Explanation:

The triangle inequality theorem says that the sum of any two sides must be larger than the third side.

But notice that 5+6 = 11 which is not larger than 12.

I recommend cutting out slips of paper that are 5 inches, 6 inches and 12 inches long. You can also use software to get the job done, which is what I did. You should see that it is impossible to form a triangle. If you place the 5 inch and 6 inch slips on either end of the 12 inch portion, then you should see the we effectively have an open-ended "triangle". I'm putting it in quotes because we don't have a triangle forming, but instead what looks to be an incomplete version of it.

The sketch of what I'm referring to is shown below. I used Geogebra to make the drawing. Imagine the red and blue segments able to swing freely while the green horizontal segment stays completely still. No matter how the red and blue segments rotate, they will never meet up to form a triangle.

The dashed circles show the range of motion that is possible for each swinging red and blue segment. If the red and blue segments lay perfectly on top of the green segment, they add to 5+6 = 11, which comes up short of the 12 inch segment.

No, it is not possible to draw a triangle with sides measuring 5ft, 6ft, and 12ft.

What is a Triangle?

The polygon known as a triangle has three sides and three vertices.

The triangle's total angle is 180 degrees.

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

The reason is that according to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

However, in this case, 5ft + 6ft = 11ft, which is less than the length of the third side, 12ft.

Therefore, a triangle cannot be formed with these side lengths.

To demonstrate why it isn't possible, you can draw a line segment of length 12ft and label it as the third side of the triangle.

Then, try to draw the other two sides (5ft and 6ft) originating from the same endpoint as the 12ft side.

You will notice that the two sides will never meet to form a triangle, since they are too short to bridge the gap between the two endpoints of the 12ft side.

To learn more about the triangle;

https://brainly.com/question/2773823

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Can someone please help, ty!!
(Will mark brainliest)

Answers

Answer:

3rd one

Step-by-step explanation:

Answer:

1 AND 3 it was hard........

3.55. Постройте график линейной функции:
1) у = 2/3х – 4;
2) y = 2x + 6;
3) у = -1,5х – 3;
4) y = -1/2x + 1;
5) y = 5/3x - 2;
6) y = -4/3x + 2;

Answers

Answer:

4) y = -1/2x + 1;

Step-by-step explanation:

maybe

or maybe not

If the value of "y" varies directly with "x"
and y = -8 when x = 4.
Find "y" when x = -4.

Answers

Answer:

-16

Step-by-step explanation:

because y varies directly with 4 when you remove 8 from 4 you get -4 and when you remove it from -8 you get -16

The value of y is 8 for the given condition.

What is linear equation?

Linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line. Generally, the equation is of the form Ax+B=0.

For the given situation,

The value of "y" varies directly with "x" and y = -8 when x = 4.

First we need to form the equation for this condition as [tex]y=kx[/tex].

Here, x=4 and y=-8

⇒ [tex]-8=k(4)[/tex]

⇒ [tex]k=-2[/tex]

Now substitute the value of k and x=-4 in the above equation to get the value of y,

⇒ [tex]y=kx[/tex]

⇒ [tex]y=(-2)(-4)[/tex]

⇒ [tex]y=8[/tex]

Hence we can conclude that the value of y is 8 for the given condition.

Learn more about linear equation here

https://brainly.com/question/1410401

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Pls ASAP solve this question

Answers

answer:

ii- 7

iii- 5

Step-by-step explanation:

sorry if its wrong im not for sure

Write the slope-intercept form of the equation for a line with slope 1/3 and y l-intercept at (0,-2/5

Answers

Answer:

y=1/3x-2/5

Step-by-step explanation:

Mr. Granados deposited $5,300 into an account. He made no additional deposits or withdrawals. Mr. Granados earned 6.5% annual simple interest on the money in the account. What was the balance in dollars and cents in Mr. Granados' account at the end of 6 years?

Answers

Answers

Answer:

the first one is 21 and the second one is 11

Step-by-step explanation:

8 1/3= 25/3 5 5/7= 40/7

(25/3) divided by (40/7) is equal to (25/3) x (7/40) using Keep Change Flip (KCF) where you keep the initial value, switch the sign from dividing to multiplying, and then flip the other value. Then, multiply across to get 175/120 which simplifies to 35/24.

A race car has gas mileage equal to 5.48 kilometers per liter. What is the car's gas mileage in miles per gallon?

Answers

Answer:

The probability that a car has a gas mileage between 29.8 and 30.3 miles per gallon is 0.0955

Step-by-step explanation:

CAN SOMEONE PLEASE HELP ME ON THIS!!?

Answers

Answer:

w = 3.5

Step-by-step explanation:

When dividing 39,100 by 100, the digits in the quotient will move how many places to the right?

When dividing 810,000 by 1,000, the digits in the quotient will move how many places to the right?

When dividing 360 by 10, the digits in the quotient will move how many places to the right?

Answers

Answer:

1. 2 places. 2. 3 places. 3. 1 place.

Step-by-step explanation:

1. Since there is 2 zeroes in 100, you move the digits 2 places to the right.

2. The same thing happens here, but with 3 zeroes.

3. The same happens, but with 1 zero.

Determine the slope and intercept of each graph. Then, write the equation of the graph in slope-intercept form

Answers

Answer:

Slope= -1,2

Y-Int=(0,-1)

Equation= Y=-1/2x-1

Step-by-step explanation:

The amount $3.80 is 4% of what price?

Answers

Answer:

$95

Step-by-step explanation:

3.8=4%

100÷4=25

3.8×25

If it i´snt correct sorry :(

Answer:

$3.80 is 4% of $95.

Step-by-step explanation:

To solve this problem, divide 3.8 by 0.04.

3.8 / 0.04 = 95.

To check your math, multiply 95 by 0.04.

95 x 0.04 = 3.8

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

Given:x+=9 prove x=4

Answers

Reasonable Answer:

If x is 4, then the answer is 13 or 5.

Step-by-step explanation:

9-4=5

For another reason it's 13.

4 minus 13 =9

~~~Hope this helps~~~:)

HELP ME ANSWER THIS PLEASEEE!!

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Apply the fraction rule,

Divide the Numbers,

Factor the Number, then cancel the common factor!

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