A sample of a radioactive isotope had an initial mass of 690 mg in the
year 1997 and decays exponentially over time. A measurement in the
year 2001 found that the sample's mass had decayed to 390 mg. What
would be the expected mass of the sample in the year 2011, to the
nearest whole number?

Answers

Answer 1

Answer:

its 94 on deltamath just did it

Step-by-step explanation:

Let t=0 represent the year 1997

Starting Value: 690

Write function:

y=690(b)^t

Now find the b-value:

y=390 when t=4 (2001−1997)

390=690(b)^4

390/690=690(b)^4/690

0.56521739=b^4

(0.56521739)^1/4=(b^4)^1/4

0.86706944=b

Write Complete Function:

y=690(0.86706944)^t

Find value in 2011 (use t=14):

y=690(0.86706944)^14

y=93.67062063

y≈94


Related Questions

A rectangular swimming pool has a length of 50 m, a width of 25 m, and a depth of 1.75 meters. What is the volume of water needed to fill the swimming pool?

The volume of water needed to fill the swimming pool is
m3.

Answers

Answer:

2187.5 cubic meters of water

Step-by-step explanation:

Volume of rectangle = L * W * D

V = 50 * 25 * 1.75

V = 2187.5

Answer:

2187.5 m3

Step-by-step explanation:

$384 with a discount of 6.5%​

Answers

Answer:

$359.04

Step-by-step explanation:

384 x .935 = 359.04

WILL GIVE BRAINLIEST *NO LINKS*

Answers

Answer:

C

Step-by-step explanation:

pleaseeee help
solve for x and y

Answers

Answer:

Solution given:

y+135°=180°[sum of opposite angle of a cyclic quadrilateral is supplementary]

y=180°-135°

y=25°

again

2x-1+3x+1=180°[sum of opposite angle of a cyclic quadrilateral is supplementary]

5x=180

x=180/5.x=36

x=36°,y=25°

what's your answer ??????????????????

Answers

Answer:

Rhombuses

Step-by-step explanation:

I guess..

.

.

.

.

.

.

.

Answer:

Step-by-step explanation:

rhombuses  :)    

Francis earned the following scores on his math quizzes: 86, 84, 90. Jillian earned the following scores on her math quizzes: 84, 90, 86. Who earned a greater total score? Which addition property can you use to find the answer?


It's due in 5 minutes please help ​

Answers

Jillian and Francis both earned the same total score. I used commutative property of addition to find the answer.

Francis: 86, 84, 90 ---> 84,86,90

Jillian: 84, 90,86---> 84,86,90

I hope this helps, have a great day!

1.
If b is bigger than a, what can you tell me about angle A?

Answers

Answer:

a is smaller than b

Step-by-step explanation:

Answer:

a smaller then b that's all I know

PLZ HELP LAST AND FINAL ONE !! 100 points

Answers

answer:

v = 77 [tex]mm^{3}[/tex]

step-by-step explanation:

in order to find the volume, we have can use this equation: v = l x w x hv stands for volume, l stands for length, w stands for width, h is heightplug in the values

v = (5.5)(4)(3.5)

v = 77 [tex]mm^{3}[/tex]

Answer:

Volume = 77mm

Step-by-step explanation:

Given the length, width and height find the volume

Volume = Length x Width x Height

4 x 5.5 x 3.5 = 77mm

Javion drank 7/8 quart of juice in two days. He drank 1/4 quart of juice yesterday. How much did he drink today?

Answers

Step-by-step explanation:

7/8 - 1/4 = 5/8

__z_________z_

If the circumference of a circle is 84.5 ft, find the radius.

Answers

Answer:

13.448, rounded off: 13.5 ft

Step-by-step explanation:

[tex]r=\frac{C}{2\pi }[/tex]

Where r = radius, C = circumference.

[tex]r=\frac{84.5}{2\pi } =13.448[/tex] = 13.5 ft

Answer:

r = 13.5 ft

Step-by-step explanation:

The circumference of a circle of radius r is C = 2(pi)r.

Here, C = 84.5 ft = 2(pi) r, or

          C = 84.5 ft = 6.28r

Dividing both sides by 6.28 results in the value of r:

r = 84.5 ft / 6.28 = 13.5 ft

Help plz..And No links!! I repeat No links!!

Answers

Answer:

I dont know

Step-by-step explanation:

Solve the equation for all real solutions. 9q^2 - 11q + 2 = -3q^2​

Answers

Answer:

two solutions at 2/3 and 1/4

Step-by-step explanation:

12q² - 11q + 2 = 0

(3q - 2)(4q - 1) = 0

3q = 2

q = 2/3

4q = 1

q = 1/4

The school cafeteria is offering a choice of two side dishes at lunch today, either watermelon or french fries. The ratio of the number of orders of french fries to the total number of side dishes ordered is 9:14.

Which of the following statements is correct about side dishes ordered?

A
There are 9 orders of french fries for every 14 orders of watermelon.

B
There are 5 orders of watermelon for every 9 orders of french fries.

C
There are 14 orders of french fries for every 9 orders of watermelon.

D
There are 5 orders of french fries for every 9 orders of watermelon.

Answers

Answer:

A,

Step-by-step explanation:

French fries to side dishes

9 french fries to 14 orders of watermelon(side dish)

Which expressions are equivalent to 2(4f+2g) ?

Answers

Answer:

B, C, D

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

C, D, E

Step-by-step explanation:

2(4f + 2g) = 8f + 4g

C: 8f + 4g

D: 4(2f + g) = 8f + 4g

E: 4f + 4f + 4g = 8f + 4g

I need help no links or files brainly will remove it

Finding a final amount in a word problem on exponential growth or decay

A principal of $3300 is invested at 8% interest, compounded annually. How much will the investment be worth after 9 years?
Use the calculator provided and round your answer to the nearest dollar.

Answers

Step-by-step explanation:

Use the formula for compound interest

f/p: f =p(1+i)^n

p = 3300

i =8% = 0.08

n = 9 years

A = p(1+r)^t

A = 3300(1+0.08)⁹

A = 3300× 1.99

A= 6596.71 dollar ~ 6597 dollar.

Brooklyn bought a plant and planted it in a pot near a window in her house. Let H
represent the height of the plant, in inches, t months since Brooklyn bought the
plant. The table below has select values showing the linear relationship between t and H. Determine the initial height of the plant when it was purchased.

Answers

Answer:

18

Step-by-step explanation:

what i did was was water the plant and give it sun

what is angle 1? i really appreciate the help

Answers

Answer:

53°

Step-by-step explanation:

[tex]m \angle1 = \frac{1}{2} (50 + 56) \degree \\ \\ = \frac{1}{2} \times 106 \degree \\ \\ = 53 \degree[/tex]

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 75, 15, 3 find the 6th term

Answers

Answer

0.024

Step-by-step explanation:

1-75

2-15

3-3

4-0.6

5-0.12

6-0.024

Can someone be my tutor I really need some help :)

Answers

Answer:

depends on what you need helps with

have a good day :)

Step-by-step explanation:

GIVING BRAIN TO CORRECT ANSWER!!

The table shows the heights of 10 randomly selected second-grade students.

Helght (Inches)

44 45 47 49 48 48 49 50 48 52

Based on the data, select the most reasonable prediction about the height of second-grade students.

O A. The typical second-grade student is less than 45 inches tall.

B. The typical second-grade student is about 45 inches tall.

C. The typical second-grade student is more than 50 inches tall.

D. The typical second-grade student is about 48 inches tall.​

Answers

Answer:

Answer = D

Step-by-step explanation:

If you add all of the heights up you get 480. divide that by ten (because there were 10 students whose height was taken) then you get 48. therefore, the typical second-grade student is about 48 inches tall.

I hope this helps have a good day :)

The typical second-grade student is about 48 inches tall.

What is mean?

'Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.'

According to the given problem,

Given data = { 44, 45, 47, 49, 48, 48, 49, 50, 48, 52 }

Sum of the given data = 44 + 45 + 47 + 49 + 48 + 48 + 49 + 50 + 48 + 52

                                     = 480

Average of the given heights = [tex]\frac{480}{10}[/tex]

                                                 = 48

Hence, we can conclude,  The typical second-grade student is about 48 inches tall since the average of the given data is 48.

Learn more about mean here: https://brainly.com/question/22871228

#SPJ2

I need help I don’t understand how I’m supposed to do this

Answers

1. The two figures are not congruent because they are not the same shape size,or length.

2.The two figures are congruent because they are the same shape,size, and length. The transformation used is reflections because they are both the same shape just flipped.


I hope I’m right and that helped

What is Ten Divided by Twelve point Fifty

Answers

Answer:

0.8

or

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

10 ÷ 12.50

10 ÷ 12.5

0.8

Answer:

10 divided by 12.5 = 0.8 is your answer

What is the product of 3x(x2 +
+4)?
O x2 + 3x + 4
3x3 + 4
3x3 + 12x
0 3x² + 12x

Answers

Answer:

The answer is C

Step-by-step explanation:

PLEASE HELP ME, I know these are easy but I forgot to do this assignment and now i don't remember how to do any of it.

Answers

okay so you know the first picture give me the name of the assignment and what’s under the name I’ll try to find the answers if you still need it just let me know

Answer:

Your answers will be down below;

1. 6

2. 7

3. 9.6

4. 13.2

5. 1.5

6. 2.1

7. 11

8. 3

9. 12

10. 6

11. 6

12. 9  

Step-by-step explanation:

I had this assignment before and I will NOT add a step-by-step explanation because I'm currently lazy at this time -.-

But I am 100% sure that these are the answer, like I said I HAD this assignment before. Therefore the answers above are your answers to your assignment. =.=

Mark me brainliest if you can, if not then it's alright. Have a good day! :)


Annika's class raised $800 by selling $5 and $10 movie gift cards. The class
sold a total of 115 gift cards. How many of each type of card did the class
sell?

Answers

Answer:

70 $5 movie gift cards and 45 $10 movie gift cards

Step-by-step explanation:

Help me find the answer

Answers

I believe the answer is 45

This inequality contains a variable, b. Choose ALL numbers that make this inequality true.
A) 16
B) 18
C) 19
D) 20

Answers

Answer:

2(34 + 12) > 5b

Step-by-step explanation:

A) 16

B) 18

Pls mark Brainliest :D

What is the height of the flag pole?

Answers

Step-by-step explanation:

comvert units into one unit

4ft 2in = 4 + 2/12 ft

3ft 4in = 3ft + 4/12ft

Know that the ratio of tan(x) = O / A

and set up proportions

[tex] \frac{ba}{ac} = \frac{h}{rt} [/tex]

solve for h

Answer:

Step-by-step explanation:

assuming that the triangles are similar,  which I can't by what is shown in the picture, but I'm guessing that there are more instructions off screen , that say they are.

' = feet

" = inches

h / 20' = 4'-2" / 3'-4"

just use inches for this,  it's easier

h / 240" = 50" / 40"

h = 240 ( 50 / 40 )

h = 300"

h = 25'

Help…………….^^^^^^^^^^^^^^^^^^^

Answers

[tex]8a - 2b + 5a + 1b - 6 \\ \\ = 13a - 1b - 6 \\ \\ \huge \fbox{Option C} [/tex]

[tex]Hope This Helps You ❤️[/tex]

Answer:

C) 13a - 1b - 6

Step-by-step explanation:

8a + 5a = 13a

-2b + 1b = -1b

-6 is fine on its own.

Put it all together: 13a -1b -6

Hope this helps, good luck! :D

Re-write the quadratic function below in Standard Form
y = 5(x - 2)(x - 5)

Answers

Answer:

5x² - 35x + 50

Step-by-step explanation:

distribute 5 to (x-2) to get:

5x-10

now multiply (5x-10) and (x-5) to get:

5x² - 25x - 10x + 50

combine like terms to get:

5x² - 35x + 50

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