The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduced to a
mass of 5 mg.
What was the initial mass (in mg) of the sample?
What is the mass (in mg) 4 weeks after the start?
You may enter the exact value or round to 4 decimal places

Answers

Answer 1

Answer:

A = (Ao)(0.5^(t/t1.2))

1 = (Ao)(0.5^(20/4)) = Ao(0.03125)

Ao = 1/0.03125 = 32mg

5 weeks = 5(7) = 35 days

A = 32(0.5^(35/4)) = 32(0.0232) = 0.074mg

Step-by-step explanation:


Related Questions

the science club went on a two-day field trip the first day the members pay $50 for transportation plus $12 per ticket to the Planetarium the second day they paid $100 for transportation plus $9 for tickets to the geology Museum write an expression to represent the total cost in dollars for two days for the end members of the club and expression that represents the total cost in dollars for two days for the end members of the club is given​

Answers

Answer:

y=50+12x y=100+9x

Step-by-step explanation:

What is the greatest common factor of 28 and 56

Answers

Answer:

28

Step-by-step explanation:

What is the prime factorization of 50? 0 2 x 25 O 0 22 x 5 2x52 HURRRYY PLSSS ​

Answers

Answer:

50= 2x2x5 is the prime factorization of 50.

Please help I will mark brainliest

Answers

5 is congruent to 4 : Vertical Angle Theorem

7 is congruent to 3 : Corresponding Angles

4 is congruent to 1 : Alternate Interior Angle Theorem

-i have geometry too!!

What is the sign of the product (-5)(-3)(-8)(-6)? (5 points)

Answers

Answer:

750

Step-by-step explanation:

brainliest please

Answer: positive

Step-by-step explanation:

two negatives equals a positive

Please help me out!!!

Answers

Answer:

Shifts 4 units down ---> [tex]g(x)=2x-10[/tex]

Stretches f(x) by a factor of 4 away from x-axis--->[tex]g(x)=8x-6[/tex]

Shifts f(x) 4 units right---> [tex]g(x)=2x-14[/tex]

Compress f(x) by a factor of 1/4 toward the y-axis ---> [tex]g(x)=1/2x-3/2[/tex]

Step-by-step explanation:

We are given [tex]f(x)=2x-6[/tex]

We need to match the transformations.

1) shifts f(x) 4 units down.

When function f(x) shifts k units down the new function becomes f(x)-k

In our case

[tex]g(x)=2x-6-4\\g(x)=2x-10[/tex]

So, Shifts 4 units down ---> [tex]g(x)=2x-10[/tex]

2) Stretches f(x) by a factor of 4 away from x-axis

When function f(x) is stretched by a factor of b away from x-axis the new function becomes f(bx)

[tex]g(x)=2(4x)-6\\g(x)=8x-6[/tex]

So, Stretches f(x) by a factor of 4 away from x-axis--->[tex]g(x)=8x-6[/tex]

3) Shifts f(x) 4 units right

When function f(x) shifts h units right the new function becomes f(x-h)

[tex]g(x)=2(x-4)-6\\g(x)=2x-8-6\\g(x)=2x-14[/tex]

So,  Shifts f(x) 4 units right---> [tex]g(x)=2x-14[/tex]

4) Compress f(x) by a factor of 1/4 toward the y-axis

When function f(x) is compressed by h factor of a toward the y-axis the new function becomes h.f(x)

[tex]g(x)=1/4(2x-6)\\g(x)=1/2x-3/2[/tex]

Compress f(x) by a factor of 1/4 toward the y-axis ---> [tex]g(x)=1/2x-3/2[/tex]

(Option Not given)

(If we compress f(x) by a factor of 4 towards y-axis we get g(x)=8x-24)

What angle is that pls​

Answers

they are corresponding angles

if sec0=1.1547 then 0=?
round to the nearest thousandth

Answers

The correct answer is C.5

Rudy invested $2460 in a money market account for 3 and 1/2 years. He earned $452 in simple interest. Which best represents the annual interest rate?
A. 3 and 3/5 percent
B. 5 and 1/4 percent
C. 5 and 3/4 percent
D. 6 and 2/5 percent

Answers

Answer:

B. 5 and 1/4 percent

Step-by-step explanation:

Step one:

given

principal= $2460

time= 3 and 1/2 years= 3.5 years

SI= $452

Required

The rate

Step two:

we know that

SI= PRT/100

substituting our data we have

452= 2460*R*3.5/100

452=8610R/100

cross multiply

452*100= 8610R

divide both sides by 8610

45200/8610= R

R= 5.25%

R= 5 and 1/4 percent

Subtract (-2x² +3x-5) from( 6x2 -4x+2)

Answers

Answer:

8x² - 7x + 7

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

(6x² - 4x + 2) - (-2x² + 3x - 5)

Step 2: Simplify

Distribute negative:                    6x² - 4x + 2 + 2x² - 3x + 5Combine like terms (x²):             8x² - 4x + 2 - 3x + 5Combine like terms (x):               8x² - 7x + 2 + 5Combine like terms (Z):              8x² - 7x + 7

Best and Correct answer gets BRAINLIEST!!!!!

Answers

A is the answer!! Hope it helps

A well know Statistical Institution claims that the average College tuition for a law degree costs at least thirty five thousand dollars. Analyzing a sample of fifty law schools in the vicinity of the study we found the sample had a mean tuition of $33,450 with a population standard deviation of $5,978 per year. At 2% level of significance test the Institution's claim.

Answers

Step-by-step explanation:

Below are the null and alternative Hypothesis,

Null Hypothesis, H0: μ = 35000

Alternative Hypothesis, Ha: μ < 35000

Test statistic,

z = (xbar - mu)/(sigma/sqrt(n))

z = (33450 - 35000)/(5978/sqrt(50))

z = -1.83

P-value Approach

P-value = 0.0336

As P-value >= 0.02, fail to reject null hypothesis.

There is not sufficient evidence to conclude that the average College tuition for a law degree costs at least thirty five thousand dollars.

8 + 2 ( x - 6 ) = -2 + 2x - 2

Answers

Answer:

x = infinite amount of solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

8 + 2(x - 6) = -2 + 2x - 2

Step 2: Solve for x

Distribute 2:                         8 + 2x - 12 = -2 + 2x - 2Combine like terms:            2x - 4 = 2x - 4Add 4 on both sides:           2x = 2xDivide 2 on both sides:       x = x

Here we see that x does indeed equal x.

∴ x = infinite amount of solutions.

Eric buys a pack of 36 chocolate bars. He gives one chocolate bar everyday to each of his best friends, Josh and Brian. Write the equation that shows the number of chocolate bars (y) he has left after x days. *

Answers

Answer:

36-1x

Step-by-step explanation:

plz let me know if I'm right

Answer: 36-1x. Explanation: he is obese

Complete the function table.
y= 3x + 5

Answers

Hope this helps
-16=y=3•-7+5
5=y=3•0+5
20=y=3•5+5
-4=y=3•-3+5
83=y=3•83+5

directions - solve the liner system. enter your answer as an ordered pair. 2x + 3y = 31 y = x + 7

Answers

(1) 2x + 3y = 31 y

(2) 2x + 3y = x + 7

(3) 31y = x + 7

(3) x = 31y - 7

(2) 2(31y - 7) + 3y = 31y - 7 + 7 ; 62y - 14 + 3y = 31y ; 34y = 14 ; y = 14/34 ; y = 7/17

(3) x = 31y - 7 ; x = 31*(7/17) - 7 ; x = (217 - 119)/17 = 98/17

x = 98/17 ≈ 5.76

y = 7/17 ≈ 0.41

Solve the following 3/4+2/8

Answers

Answer:

28

Step-by-step explanation:

3x4 is 12

2x8 is 16

16+12 is 28

Answer:

1

Step-by-step explanation:

In order to add fractions they have to have a common denominator.

In this case we can multiply the fraction 3/4 by 2 to get 6/8.

Now we can add them:

[tex]\frac{6}{8} + \frac{2}{8} = \frac{8}{8} = 1[/tex]

Therefore, the answer to the question is 1.

I hope this helps!!

- Kay :)

I need help baddddddd

Answers

Answer:

c, 6days

Step-by-step explanation:

c= 3.00d+32

c=3.25d+30.50

after 6 days the cost will be 50 for both

c= 3.00*6+32 = 18+32 = 50

c=3.25*6+30.50 = 19.5 +30.5 =50

Tyler and his children went into a bakery and will buy cupcakes and donuts. He must buy a maximum of 11 cupcakes and donuts altogether. Write an inequality that would represent the possible values for the number of cupcakes purchased, cc, and the number of donuts purchased, d.d.

Answers

Answer:

0 < cc + dd ≤ 11

Step-by-step explanation:

≤ means equal to or less than.

It has to be more than zero, obviously.

Answer:

c+d≤11

Step-by-step explanation:

welcome

Anyone help pleaseeeeee?

Answers

12,because each cake is cut into 4 slices and u have 3 cakes so 4 multiples by 3 is 12.
12 , because i know it is 12 lol

if 1.24×0.94 correct to 2 significant​

Answers

Answer:yes

Step-by-step explanation:yes

Help PLEASE PICTURE BELOW!!

Answers

Answer:

table d

Step-by-step explanation:

functions can not have the same input twice

Answer:

A B and C repreasent functions

Step-by-step explanation:

I need help ASAP

A manufacturer can produce 1 plastic bowl in 1 minute

Which graph models a relationship with the same unit rate

Answers

Answer:

The most likely answer is A, with it increasing 1 by 1, which correlates with the bowl to minute ratio.

The graph models a relationship with the same unit rate is shown in option (A), option (A) is correct.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

A manufacturer can produce 1 plastic bowl in 1 minute

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

From the data given the equation can be framed:

The proportional relationship will be:

y ∝ x

y = kx

x = 1 y = 1

k = 1

y = x

Thus, the graph models a relationship with the same unit rate is shown in option (A), option (A) is correct.

Learn more about the straight line here:

brainly.com/question/3493733

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which of the following inequalities matches the graph?​

Answers

The correct answer is b, x < -3.
Since the area shaded is left of x = -3, x has to be less than -3.

Which of the following are not polynomials?

Answers

Aaaaaaaaaaaaaaaa and bbbbbbbbbbbbbbb

Answer:

A

C

and
D

Step-by-step explanation:

Triangle ABC ~ Triangle DEF. Find the length of median FQ. Show how to solve. 25 points

Answers

The length of the median FQ in image of the two similar triangles is: 36.

How to Find the Median of Similar Triangles?

The corresponding segments and median of similar triangles are proportional, therefore, we will have the following:

PC/FQ = PB/QE

Substitute

27/FQ = 18/24

FQ = (24 × 27)/18

FQ = 36.

Learn more about similar triangles on:

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Will mark Brainliest
Which conic section is represented by the following equation?
5x^2-x+5y^2 – 3y + 4 = 0
circle
ellipse
parabola
hyperbola

Answers

Answer:

I believe its hyperbola

Answer:

ellipse

Step-by-step explanation:

just got it right on edg ^u^

Which best describes the dimensions of a line?

A line has zero dimensions because it represents a location on the coordinate plane.
A line has one dimension because it is made up of all points that extend infinitely in either direction.
A line has two dimensions because it is made up of three noncollinear points.
A line has multiple dimensions depending on how many labeled points it contains.

Answers

Answer:

A line has one dimension because it is made up of all points that extend infinitely in either direction.

Step-by-step explanation:

The correct statement which describes the dimensions of a line is,

''A line has one dimension because it is made up of all points that extend infinitely in either direction.''

What is Line segment?

Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.

We have to given that;

To find the dimensions of a line.

We know that;

A line has one dimension because it is made up of all points that extend infinitely in either direction.

Thus, The correct statement which describes the dimensions of a line is,

''A line has one dimension because it is made up of all points that extend infinitely in either direction.''

Learn more aboput the line segment visit:

https://brainly.com/question/280216

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A school principal has to choose randomly among the six best students in each grade to be the school captain every month. For that purpose, she assigned each student a number. Then she rolled two dice numbered from 1 to 6 three times and selected the student whose number was repeated most often.

Which of the following best describes the method used by the principal?

It's an unfair method because each student will not post the same outcomes.
It's a fair method because each result is an equally likely possible outcome.
It's a fair method because it's a limited number of students.
It's an unfair method because two or more students could get the same results.

Answers

Answer: It's an unfair method because two or more students could get the same results./ D

Step-by-step explanation: hope this helps

Answer:

B. It's a fair method because each result is an equally likely possible outcome.

Step-by-step-explanation :

According to the question , there are a total of 6 students to be selected by the principal.  

So, the principal chose to roll two dice numbered 1, 2, 3, 4, 5, 6 for the selected students and choose the one whose number is most repeated.

Since we have sis sides on a dice , 2 dice [tex]= 6\times6=36[/tex]

The  probability that a student will choose one number :[tex]\frac{1}{36}[/tex]

Thus, the selection of each student is given by the number

[tex]\frac{1}{36}[/tex]

So,each result is an equally likely possible outcome.

So, the principal choose a fair method.

At the mini-mart, Kathy spent $1.39 for a muffin, $2.99 for milk, and $0.99 for a bag of chips. About how much did he spend?
$5.00
$3
$4.00
$5.37

Answers

Answer:

$5.37

...............

the answer is $5.37 but it asks for the approximate amount, not the exact amount so the answer is $5.00
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