The half-life of a radioactive kind of neodymium is 11 days. If you start with 2,616 grams of it, how much will be left after 22 days?

Answers

Answer 1

Answer:

654 grams

Step-by-step explanation:

When you set up this equation you want the number of grams you start with, 2616, and the factor by which it is decreasing, which is half, or 1/2. Because the half life is 11 days, but you want to find the amount left over after 22 days, you can make 22/11 as the exponent on the 1/2. The equation should look like this : 2616(1/2)^22/11. With these kinds of equations you always want to multiply the starting value by the factor of increase/decrease, and raise that factor to the time eclipsed divided by the set time(like the 11 day half life).


Related Questions

Determine if the side lengths listed create a right triangle, acute triangle, obtuse triangle, or do not make a triangle. 3, 9, 10 Determina si las longitudes de los lados enumeradas crean un triángulo rectángulo, un triángulo agudo, un triángulo obtuso o no forman un triángulo. 3, 9, 10 * 1 point right acute obtuse not a triangle

Answers

Answer:

Obtuse triangle

Step-by-step explanation:

Given the side lengths :

3, 9, 10

Let :

a = 3 ; b = 9 ; c = 10 (longest side)

If a² + b² = c² (right angle)

If a² + b² > c² (acute angle)

If a² + b² < c² (obtuse angle)

a² + b²

3² + 9²

9 + 81 = 90

c² = 10² = 100

90 < 100

Hence,

a² + b² < c² (then we have an obtuse triangle)

The area of a rectangle is 96.3 calculate the width of the rectangle

Answers

Answer: Width = 96.3cm/Length

Step-by-step explanation:

Area of a rectangle= Length multiplied by Width

Therefore Width of a rectangle is calculated Area of a rectangle divided by Length

The Width of this rectangle is therefore 96.3cm/Length

(I hope that helps!!)

pls help? :( brainliest if correct

Which two figures have the same number of bases?

A. cylinder and cone
B. triangular pyramid and cone
C. cone and triangular prism
D. triangular pyramid and cylinder

Answers

Answer:

Option C is the Correct Answer

Cone and triangular prism

ariana is standing at the bottom of a hill in the zoo. the angle of elevation from her to the top of the hill is 17 degrees. if the hill if 50 feet tall, how long is the walkway up the hill?​

Answers

Answer:

171.02 ft.

Step-by-step explanation:

Please see the attached image

sin(17)=50/x

x=50/sin(17)≈171.02

An ant stands atop a grassy hill looking at a castle. A horizontal bridge 20 feet long crosses the gap, forming a right angle with the castle wall. The hill slopes down to a moat (water) that is 10 feet wide. The moat has 0 alligators because this is a math problem, not Louisiana. The castle is 38 feet tall, measuring from moat to roof.

a) Draw a sketch showing all the information you have right now.

b) The angle of elevation from the ant to the castle roof is 54.5°. Find the height of the castle above the bridge to the nearest foot (whole number).

c) What is the distance of the vertical drop from the bridge into the moat?

d) Find the angle between the hillside and the underside of the bridge. You may assume that the hill's slope is perfectly straight.

Answers

Answer:

Step-by-step explanation:

Please help!

P.S. I've already tried it once and the answer isn't -0.3 repeating

Answers

I think it is 9 Hope you got it.

How can you use transformations to graph this
function?
y=3.75 +2
Explain your steps.

Answers

Answer:

Sketch the graph of y=7^x

Reflect the graph across the y-axis to show the function y=7^-x

Stretch the graph vertically by a factor of 3 to show the function y=3*7^-x            

Shift the graph up 2 units to show the function y=3*7^-x+2

Step-by-step explanation:

Answer: Draw a graph showing y=7x. The graph can be reflected across the y-axis to display the function y=7x-x. To display the function y=3*7-x, multiply the graph's vertical extent by 3. The graph should be moved up 2 units to display the function y=3*7-x+2.

:)

what are the factors of 30 that have a sum of -11

Answers

Answer:1, 2, 3, 5, 6, 10, 15, 30.

Step-by-step explanation:

(1/2a - 1/3b) - (1/3b - 1/2a)

Answers

Answer:

a- 2b/3

Step-by-step explanation:

1) Remove the parentheses and combine like terms

6 groups of 7 = 5 groups of 7 plus

Answers

Answer:

1 group of 7

Step-by-step explanation:

one group of seven.

Algebraically, find the roots of x² - 4x - 5=0.​

Answers

Question:-

Algebraically, find the roots of x² - 4x - 5 = 0

Solution:-

x² - 4x - 5 = 0 (Given equation)

Here a = 1, b = -4 and c = -5

[tex] \therefore [/tex] b² - 4ac = (-4)² - (-4) × 1 × -5 = 16 - 20 = -4 < 0

There are no real roots for the given equation. [Answer]

Simon threw a baseball to home plate. The distance the ball traveled was 48 feet. It took the ball 0.75 seconds to reach home plate.
If the ball traveled at a constant speed, how fast was the ball traveling in feet per second?
O A 16 feet per second
O B. 36 feet per second
C. 48 feet per second
D. 64 feet per second

Answers

Answer: 36

Step-by-step explanation:

0.75 x 48 = 36

Please I need this too NOww PLEASE ASAP

Answers

Answer:

∠ ABC = 53.5°

Step-by-step explanation:

The inscribed angle ABC is half the measure of the intercepted arc AC

∠ ABC = [tex]\frac{1}{2}[/tex] × 107° = 53.5°

You start at (6,5). You move right 4 units. Where do you end? ​

Answers

Answer:

(10,9)

Step-by-step explanation:

Hope This Helps

Answer:

10,5

Step-by-step explanation:

not a 100% sure

Help please!!! I don't understand this so if you do can you write the explanation you don't have to but thank you anyways

Answers

Answer:

ITS 5 UNITS I LEARNED ITS EZ

Step-by-step explanation:

Harrison has an account with a balance of $155.59. This account has an interest rate of 9.4% compounded annually and the initial investment was 2 years ago. How much was the initial investment?

Answers

Answer:

i believe $126.66

Step-by-step explanation:

dont put my word on it because im not 100% sure but if i did the math correctly then its that

if (triangle) ABC= (triangle) DEC , what is the value of x ?

a- x=8
b- x=5
c- x=4
d- x=1

Answers

Answer:

x= 1

Step-by-step explanation:

sinceΔABC =ΔDEF

Therefore

4x-1 will be equal to x+2

then x = 1

hey guys so if you have 75,067 times 2=1726541

Answers

Answer:

Step-by-step explanation:

Actually 75067 x 2= 150134

(this is 12 year old math) Good evening everyone​

Answers

Answer:

22 11

Step-by-step explanation:

its a pattern if you look at the trend on the equation

What is the solution of log(2t+4)= log(14-3t)?
-18
-2
2
10

Answers

The answer to the question is 2

You are paying off a student loan in monthly installments. After
the 4rd payment the remaining balance is $13,900. After the 5th
payment your remaining balance is $13,500. If n is the number of
payments that have been made, what is the nth term rule?

Answers

Answer:

The loan will be paid after 39 monthly installments.

Step-by-step explanation:

Since I am paying off a student loan in monthly installments, and after the 4th payment the remaining balance is $ 13,900, while after the 5th payment my remaining balance is $ 13,500, to determine the amount of payments in which the loan was agreed I must perform the following calculation:

13900 - 13500 = 400

400 x 5 = 2000

2000 + 13500 = 15500

15500/400 = 38.75

Thus, the loan will be paid after 39 monthly installments.

Based on the information marked in the diagram, ABCD and AEFG must be
congruent.
С
17
E
A. True
B. False

Answers

The answer is A. True

Suppose you invest $34,600 into a savings account with a 11.25% annual interest rate
that compounds interest semi-annually. Use the TVM solver on your calculator to find the
future value of the account after ten years.

Answers

Answer:

$103,373.81

Step-by-step explanation:

The calculation of the future value is shown below:

As we know that

Future value = Present value × (1 + rate of interest)^number of years

where,  

rate of interest = 11.25% ÷ 2 = 5.625%

And, the number of years is = 2 × 10 = 20

Therefore, the future value is

= $34,600 × (1 + 5.625%)^20

= $34,600 × 2.987682472  

= $103,373.81

please help find angle!!

Answers

Answer:

35.5

Step-by-step explanation:

H, A

Cos=A/H

Cos 65= 15/x

x=15/cos 65

what are the coordinates of point A​

Answers

Answer:  D

(7, -5)

The X axis is the horizontal follow to point A than go down from there then bam answer

CW: If the 5th term and the 10th term of an arithmetic
sequence is 44 and 89 respectively, what is the value of the
21st term? (show your work for a full mark)

Answers

Answer:

         a₂₁ = 188

Step-by-step explanation:

The n-th term of an arithmetic sequence:  [tex]a_n=a_1+d(n-1)[/tex]

so:

    [tex]a_5=a_1+d(5-1)\\a_5=a_1+4d\\a_1=a_5-4d\\a_1=44-4d\\\\a_{10}=a_1+d(10-1)\\ a_{10}=a_1+9d\\89=44-4d+9d\\45=5d\\d=9\\\\a_1=44-4\cdot9 = 8\\\\a_{21}=a_1+ 20d=8+20\cdot9=188[/tex]

PLLLZZZZ HEEELLLPPPP!!!!!!!!!!! Questions are below! :D

Answers

Answer:

12)  m∠BXD = 122°

13)  m∠GXE = 50°

Step-by-step explanation:

12)  m∠BXD = ∡BXC + ∡CXF + ∡FXD = 32° + 50° + 40° = 122°

13) m∠GXE = (90° - m∠AXG)  =  90° - 40° = 50°

Find the area of the sector. Round to the nearest hundredth.
14 in
315°

Answers

Answer:

24.5 pi in^2

or 76.93 in^2 (Multiplied by 3.14)

Step-by-step explanation:

A = piR^2

Julio has $150. Each week, he saves an additional $10.Write a function ()that models the total amount of money Julio has after weeks.

Answers

Answer:

The function that models the total amount of money Julio has after weeks is:

f(x)=150+10x, where:

x is the number of weeks

Step-by-step explanation:

With the information provided,  you can say that the total amount of money Julio has would be equal to the initial amount he has plus the result of multiplying the $10 that he saves every week for the number of weeks, which can be expressed as:

f(x)=150+10x, where:

x is the number of weeks

Answer: f(x)=150+10x,

Step-by-step explanation:

For every 9 customers, the chef prepares 2 loaves of bread.
How much loaf is prepared for 1 customer?

Answers

Answer:

0.22

Step-by-step explanation:

2/9 = 0.22

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