A certain radioactive material decays at a rate that is governed by the function M = Moe-ki,
where M is measured in grams and 1 is measured in years. If k = 0.006, how many years would it
take for an 8,000 gram sample to decrease to 1,800 grams? Round your answer to the nearest
hundredth.

A Certain Radioactive Material Decays At A Rate That Is Governed By The Function M = Moe-ki,where M Is

Answers

Answer 1

Answer:

[tex]1800 = 8000 {e}^{ - 0.006t} \\ \frac{18}{80} = {e}^{ - 0.006t} \\ \\ - 1.4916 = - 0.006t \\ \\ t = 248.609[/tex]


Related Questions

Please help with this one question that I've been stuck on!!! In a random sample of 74 homeowners in a city, 22 homeowners said they would support a ban on non natural lawn fertilizers to protect fish in the local water ways. The sampling method had a margin of error of ±3.1%. SHOW ALL WORK!
A) Find the point estimate.
B) Find the lower and upper limits and state the interval.
Please show your work & how you got your answer!

Answers

Anders Celsius (Swedish pronunciation: [ˌanːdəʂ ˈsɛlːsiɵs], 27 November 1701 – 25 April 1744) was a Swedish astronomer, physicist and mathematician. He was professor of astronomy at Uppsala University from 1730 to 1744, but traveled from 1732 to 1735 visiting notable observatories in Germany, Italy and France. He founded the Uppsala Astronomical Observatory in 1741, and in 1742 proposed (an inverted form of) the Centigrade temperature scale which was later renamed Celsius in his honor.

Romeo and Juliet is a tragedy written by William Shakespeare early in his career about two young Italian star-crossed lovers whose deaths ultimately reconcile their feuding families. It was among Shakespeare's most popular plays during his lifetime and, along with Hamlet, is one of his most frequently performed plays.

TV and WY are parallel lines, which angles are supplementary angles?

Answers

Answer:

∠WXU & ∠WXZ

Step-by-step explanation:

Carlos compro una TV el cual costaba $1200 si por aniversario la tienda le hace un descuento del 25% cuanto dinero le descontaron a Carlos?

Answers

Answer:

Descuento= $240

Step-by-step explanation:

Dada la siguiente información:

Precio de venta (sin descuento)= $1.200

Descuento= 20%

Para calcular el descuento que le hicieron a Carlos, debemos utilizar la siguiente formula:

Descuento= precio de venta*porcentaje de descuento

Descuento= 1.200*0,2

Descuento= $240

Hi I need an answer please!

How many ways can you order your favorite 3 desserts from a menu of 8?

A) 40,320

B) 6

C) 336

D) 6720
Thanks so much, I would truly appreciate it!

Answers

Answer:

336

Step-by-step explanation:

hope this helps!

it’s true or false, you can see the question in the pic. HELPP NOW PEASE !!

Answers

i think it's , true , false , false . the last one is kinda tricky

Find the volume of the cylinder. Round your answer to the nearest hundredth of a cubic meter. The radius is 3m and the height is 6m. What is the volume?

Answers

Answer:

169.56

Step-by-step explanation:

169.56

If the radius is 3 m and the height is 6 m. Then the volume of the cylinder will be 196.56 cubic meters.

What is the volume of a right circular cylinder?

Suppose that the radius of the considered right circular cylinder is 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

V = πr² h

Right circular cylinder is the cylinder in which the line joining the center of the top circle of the cylinder to the center of the base circle of the cylinder is perpendicular to the surface of its base, and to the top.

The radius is 3 m and the height is 6 m.

Then the volume of the cylinder will be

Volume = 3.14 x 3² x 6

Volume = 3.14 x 9 x 6

Volume = 169.56 m³

Learn more about the volume of the cylinder here:

https://brainly.com/question/12763699

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What is the volume?
(*I wrote the numbers out just in case you couldn't see them.)

Answers

Answer:

I believe the volume is 540cm

Step-by-step explanation:

To find the volume of a rectangular prism, all you really need to do is multiply the length x width x height (LxWxH)

For this shape it's just:

9(L)*12(W)=108

108*5(H)=540

Answer:

the volume should be 58320

Step-by-step explanation:

12 x 9 x 12 x 5 x 9 = 58320

sorry if I'm wrong

A soup can has a radius of 4 cm and a height
of 11 cm. There are 24 cans in one case. How
many litres of soup are in one case?

Answers

Answer:

13.3L

Step-by-step explanation:

helppp pleasee :))!!

Answers

Answer:

13 km

I hope it's helps you

Answer:

13, You have to divide the Diameter by 2. 26 ÷ 2 =13

Twice a number x exceed 5 at least by 4. find the possible value of x.

Answers

Answer:

5?

Step-by-step explanation:

2x › 5 (buy at least 4)

so you can just start plugging numbers in.

I used 5, 5 times 2 is 10 which is 5 more that 5, which does met the quota.

Answer:

[tex]x \ge 4.5[/tex]

Step-by-step explanation:

The number 2x is larger than 5, so  2x - 5  is the difference between 2x and 5.  This difference is at least (greater than or equal to) 4.

[tex]2x-5 \ge 4\\\\2x \ge 9\\\\x \ge 4.5[/tex]

Use special product patterns to find the product.

16 x 24

Answers

Answer:

4

[tex]4 ^{2} \times \sqrt[2]{6} [/tex]

square root 16 is 4^2

same as 24 is 2/6

The requires answer for 16 x 24 by using special product patterns is 384.

What is special product pattern?

A special product is a product of two binomials that hold a predictable pattern.

Now the given expression is,

16 x 24

Now both the terms can be written as,

16 = (20 - 4)

24 = (20 + 4)

Therefore we get,

16 x 24 =  (20 - 4) x (20 + 4)

since,

a² - b² = (a + b) (a - b)

⇒ (20 - 4) x (20 + 4) = 20² - 4²

∴ 6 x 24 = = 20² - 4²

⇒ 6 x 24 = 400 - 16

⇒ 6 x 24 = 384

Thus, the requires answer for 16 x 24 by using special product patterns is 384.

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What is an equivalent expression to (2^-4*z^-3)^5

Answers

Answer

1/ 2^20 • z^15

step by step explanation

Need help on angles of polygons please

Answers

Answer:

x+87+92+105+135=540(sum of interior angle of pentagon)

x+419=540

x=540-419

x=121

Step-by-step explanation:

Please help please

One cube has edges n meters long. Another has edges 3n meters long. What is the ratio of the volume of the first cube to the volume of the second cube

Answers

Answer:

1:3

Step-by-step explanation:

The second cube is 3x bigger than the first cube, and since all sides of a cube are the same the ratio for the length of the edges will directly transfer over to the ratio of their volumes.

C. 1 : 27

As an example, let's say that n is equal to 1. The volume of the first cube is n*n*n, since n stands for the measurement of each edge. n*n*n=1*1*1=1 cubic meter. Now, onto the second cube. The volume of the second cube is 3n*3n*3n, since 3n stands for the measurement of each edge. 3n*3n*3n=3*3*3 ( since 3n=3*1=3 ) which is equal to 27. The ratio of the volume of the first cube to the volume of the second cube is represented by n : 3n. Substituting the n on both sides for the n in our example, we get a final result and ratio of 1 : 27.

A group of scientists have been sent on an expedition to test the soil in the Allegheny Mountains. They need to collect samples from nine sites. The route for the expedition is shown in the image. The group starts at P and works its way around to Q, R, S, T, U, V, W, and X, in that order, before returning to P. What is the length of the route?




A.

50 units

B.

52 units

C.

55 units

D.

58 units

E.

60 units

Answers

Answer:

52

Step-by-step explanation:

The solution is, Distance between E and F = 8 units

What is distance?

The distance between two points is the length of the line joining the two points.

Formula: distance= √(x_2-x_1)²+(y_2-y_1)²

here, we have,

Given:

Coordinate of E = (3,5)

Coordinate of F = (3,-3)

Find:

Distance between E and F

Computation:

Distance = √(x₁-x₂)² + (y₁-y₂)²

Distance between E and F = √(3-3)² + (5+3)²

Distance between E and F = √(8)²

Distance between E and F = 8 units

To learn more on Distance click:

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#SPJ3

Complete question:

During an expedition, archeologists find four objects at the positions labeled E, F, G, and H in the image. How far are the artifacts E and F from each other? A. 5 units B. 8 units C. 10 units D. 12 units

PLEASE HELPPP!!!!
Find the missing side length of the following right triangle. Pythagoras theory ​

Answers

Answer:

40 yd

Step-by-step explanation:

Let,

The missing length be = x yd

As we know According to Pythagoras Theorem,

[tex] {50yd}^{2} = {30yd}^{2} + {x \: yd}^{2} [/tex]

[tex] = > 2500 = 900 + {x}^{2} [/tex]

[tex] = > {x}^{2} = 2500 - 900[/tex]

[tex] = > {x}^{2} = 1600[/tex]

[tex] = > x = \sqrt{1600} = \sqrt{40 \times 40} [/tex]

=> x = 40

Hence,

Missing length will be 40 yd (Ans)

The question is in the attachment.
Please answer

Answers

Answer:

74°

Step-by-step explanation:

LMN is a central angle so LMN = LN

LN = 74°

LMN = 74°

What is the discriminant for the following quadratic?
x^2 - 2x - 4

Answers

Answer:

20

Step-by-step explanation:

The discriminant of a quadratic is the expression inside the radical of the quadratic formula.

b^2-4(ac)

Substitute in the values of  a ,  b , and  c .

(-2)^2-4(1*-4)

Elevate the result to find the discriminant.

4+16

=20

what is the answer f(t)=40(1.18)^t

Answers

Answer:

18% if it is the rate of change.

0 if solved

Step-by-step explanation:

Sorry, but you need more information

is x^2+2bx-v^2 a perfect square trinomial?​

Answers

Answer:

no x² + 5x + c is a perfect square

Step-by-step explanation:

2x-5=13 is considered a​

Answers

Answer:

x=9

And 2x-5 = 13 is considered an algebraic equation

Step-by-step explanation:

Solve the equation:

2x - 5 = 13

2x = 18

x = 9

Algebraic Equations:

Algebraic equations are equations having variables and require variety of arithmetic functionalities and solutions.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K


[tex]i \: need \: help \: \\ \\ (a \: + \: b) {}^{2} = {?} [/tex]

Answers

Answer:

I hope this helps you :)...

Answer:

(

[tex] {a}^{2} + 2ab + {b}^{2} [/tex]

Step-by-step explanation:

(a+b)²

=(a+b)(a+b)

=a(a+b)+b(a+b)

=a²+2ab+b²

The half-life of radioactive iodine used in medical studies is 8 hours. A doctor wants to know when the amount of radioactive iodine in a patient's body is 20% of the original amount. When will this occur?​

Answers

Answer:

xgu5 yup is hug is is unfocused

Please I need help I need it done by today

Answers

I am pretty sure it is C

A:90 clockwise
B:90 counterclockwise
C:180
D:270 clockwise
E:270 counterclowise

Answers

B:90 counterclockwise

sorry if I’m wrong

Answer:

A. 90 clockwise

Step-by-step explanation:

I think...

A linear sequence starts
11
20
29
38
Work out an expression for the nth term of the sequence.
The nth term is n+9

Answers

Answer:

9n + 2.

Step-by-step explanation:

This is arithmetic with common difference d = 9.

nth term = a1 + d(n - 1)     (a1 = 11) 11 + 9n - 9

= 11 + 9(n - 1)

= 9n + 2.

The correct answer is 9n+2

PLEASE HELP KIND OF URGENT AND IM FAILING

1. In each case, which average do you think is most useful: the mean, median, or mode?
Justify your answer. (6 marks)
I
a) A storeowner wants to know which sweater sizes she should order. Last week she sold 5
small, 15 medium, 6 large, and 2 X-large sweaters.
b) Five of Robbie's friends said their weekly allowances are: $10, $13, $15, $11, and $10.
Robbie wants to convince his parents to increase his allowance.
c) Tina wants to know if her math mark was in the top half or bottom half of the class.

Answers

A = Mode as you want to know which is the greatest number of sweaters sold
B = mean as that’s the average of all the money combined
C = Median as you want to know the data set from least to greatest

Which segment has the greatest frequency?

Answers

Answer:

The one that reached up to 8 on the graph.

Step-by-step explanation:


In a pacemaker factory, all pacemakers must go through a rigorous quality assurance check before being shipped. The table shows the results
of the quality assurance checks. Find the probability that a non-defective pacemaker "fails." Round your answer to the nearest tenth of a percent. NEED ASAP

Answers

Answer:

16.1%

Step-by-step explanation:

Answer:

15.0

Step-by-step explanation:

Find the solutions to x2 = 24.
O A. x = +216
O B. x = 16.6
O C. x= 46
O D. x = +62

Answers

Answer:

x =±2 sqrt(6)

Step-by-step explanation:

x^2 = 24

Take the square root of each side

sqrt(x^2) = sqrt(24)

x = ±sqrt(4*6)

x =±sqrt(4) sqrt(6)

x =±2 sqrt(6)

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