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

Fill in the blank with the correct response.

Twenty-seven is 25% of _____.

Answers

Answer:

70

Step-by-step explanation:

Answer:

its 108

Step-by-step explanation:

27x4=108

A plane takes off at 50 feet below sea level and climbs 1,542 feet. At what altitude is the plant currently flying?

Answers

Answer:

-1492

Step-by-step explanation:

1) based on the given conditions, formulate:

50-1542

2) calculate:

50-1542= -1492

1492 because it can’t be negative since the plane is now above sea level.

A spinner is divided into equal sections of three possible colors. There are 2 yellow
sections, 2 blue sections, and 4 red sections. Use the drop-down menus to complete the
statements about the likelihood of the given events related to the spinner.

Answers

Spinning a blue is unlikely

Spinning a red or yellow is likely

Spinning another colour is impossible

Spinning red is neither likely nor unlikely

Distinguishing Likelihood From Probability

Fundamentally crucial is the contrast between probability and likelihood: While likelihood is attached to hypotheses, probability is attached to potential outcomes. This first column's goal is to clarify this distinction.

The set of potential outcomes is complete and mutually exclusive. Let's say we ask a participant to forecast the results of ten coin flips. There are only 11 potential outcomes (0 to 10 correct predictions). One and only one of the potential outcomes will ever be the actual outcome. Therefore, the probability associated with the potential outcomes must add up to 1.

Contrary to outcomes, hypotheses are neither exhaustive nor mutually exclusive.

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PLEASE HELP i will mark u brainliest

Answers

Answer:

Help: If 30 miles takes up 1 gallon what’s 30x15?

Step-by-step explanation:

The students in an eighth-grade class had a dance. They spent $500 for a local band. The equation below can be used to find the total profit, y, if the students sold x tickets to the dance.


f(x) = 4x – 500

Answers

The answer is X=125 I hope this helps

If the simple interest on $5,000 for 9 years is $2,700, then what is the interest rate?
The rate is?
PLZZZZZ HELP

Answers

Answer:

the interest rate is 3/5

Step-by-step explanation:

i=prt

2700= 5000•r•9

2700= 45000r

2700/45000= 45000r/45000

2700/45000= r

*reduce the fraction to simplest form*

r= 3/5

What error did Wanda make?
None. Wanda’s work is correct.
Wanda converted the percent to a decimal incorrectly. It should be 0.073.
Wanda converted the percent to a decimal incorrectly. It should be 0.73.
Wanda has the wrong label. It should be hours, not dollars.

Answers

Answer:

C

Step-by-step explanation:

the guy above sucks

None. Wanda’s work is correct.

Wanda converted the percent to a decimal incorrectly. It should be 0.073.

Wanda converted the percent to a decimal incorrectly. It should be 0.73.

Wanda has the wrong label. It should be hours, not dollars.

Step-by-step explanation:

Can someone help me with this question?
(2,5) and (10,3) What is the slope and the y-intercept

Answers

Answer:

slope is -1/4

y intercept is 11/2

Step-by-step explanation:

the slope is (3-5)/(10-2) = -2/8 = -1/4 (using the slope formula)

the y intercept we can set up an equation, y= mx + b

we already know m, which is -1/4 (the slope), and to find b, we could just plug in one of the points to get

5 = (-1/4)*2+b

solve the equation

b = 11/2

A computer costs $320. If the sales tax is 7%, what is the amount of sales tax?

Answers

Answer:

22.4

Step-by-step explanation:

Answer:

$22.40

Step-by-step explanation:

To find the amount of sales tax you have to multiply the price by the decimal form of the percent of sales tax.

In this situation, you would multiply 320 by .07.

(320)(.07) = 22.40

Therefore, the amount of sales tax is $22.40.

I hope this helps!!

- Kay :)

Use the graph or table to find the equation that represents the relationship. PLLSSS HELPPPPP

Answers

The equation that is shown by the table is y = 3x - 5

How to use the graph or table to find the equation that represents the relationship?

The given parameter is the complete table

From the table, we have the following points

(2, 1) and (1, -2)

Calculate the slope using

m = (y2 - y1)/(x2 - x1)

This gives

m = (-2 - 1)/(1 - 2)

Evaluate

m = 3

The linear equation is represented as

y = m(x - x1) + y1

So, we have

y = 3(x - 2) + 1

Open the bracket

y = 3x - 6 + 1

Evaluate the like terms

y = 3x - 5

Hence, the equation that is shown by the table is y = 3x - 5

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A parachutist's elevation changes by - 77 ft in 7 seconds. What is the change in the parachutist's elevation each second?What is the change in the parachutists elevation changes feet each second.

Answers

Answer:

-11 feet per second

Step-by-step explanation:

Answer:

Step-by-step explanation:

I Honestly don't know i'm only on here to get answers.

17.
Which of the following are equiangular quadrilaterals?
a. parallelogram and rectangle
b. trapezoid and rhombus
c. square and rhombus
d. square and rectangle
e. none of these

Answers

d. Square and rectangle
c. square and rhombus

Use a quadratic equation to find two real numbers with a sum of 2 and a product of
−24

Write the answers in the decreasing order of their values.

Answers

The two real numbers with a sum of 2 and a product of −24 is -4 and 6.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.

Let x represent one number and y represent the other number. The sum of the two real numbers is two. Hence:

x + y = 2  

y = 2 - x    (1)

The product is -24, hence:

xy = -24

x(2 - x) = -24

2x - x² = - 24

x² - 2x - 24 = 0

x² - 6x + 4x - 24 = 0

x(x - 6) + 4(x - 6) = 0

(x + 4)(x - 6) = 0

x = -4 and x = 6

The two real numbers with a sum of 2 and a product of −24 is -4 and 6.

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2. Billy's Bikes charges an initial fee of $5 per day to rent a beach cruiser, plus
$2.00 per hour. Which graph models this situation? *

Graph it

Answers

Equation: y = 2x + 5

Perform the indicated operation and simplify the result. Leave your answer in factored form.

[tex]\frac{x}{x^{2} -9} +\frac{9}{x}[/tex]

Answers

Answer:

[tex]\frac{x }{x^{2}-9 } +\frac{9}{x}=\frac{x^{2} }{x(x^{2}-9) }+\frac{9(x^{2}-9) }{x(x^{2} -9)}\\\\=\frac{10x^{2} -81}{x(x-3)(x+3)}[/tex]

Step-by-step explanation:

x / (x^2-9) + 9/x

x^2 / x(x^2-9) + 9(x^2-9) / x(x^2-9)

x^2 + 9(x^2-9) / x(x^2-9)

x^2 + 9x^2 -81

10x^2 -81 / x^3 -9x is the answer

Combine like terms to write an equivalent expression. Then use y = 5 to prove the expressions are equivalent. 1 + y + y + y + 1 Complete the statements.
The equivalent expression is . The value of both expressions when y = 5 is . The expressions are .

Answers

Answer:

The equivalent expression is  

✔ 3y + 2

.

The value of both expressions when y = 5 is  

✔ 17

.

The expressions are  

✔ equivalent

.

Step-by-step explanation:

Answer:

The equivalent expression is  

✔ 3y + 2

.

The value of both expressions when y = 5 is  

✔ 17

.

The expressions are  

✔ equivalent

.

Step-by-step explanation:

fill in the blanks /49=1/7​

Answers

Answer:

7/49 = 1/7

Step-by-step explanation:

sueuhsjadsi

In a situation where the sample size was 28 while the population standard deviation was increased, what would be the impact on the confidence interval?
A) It would become narrower due to using the t distribution
B) It would widen with more values
C) It would become wider due to using the z distribution
D) It would become wider with more dispersion in values

Answers

Answer:

C; It would become wider due to using the z-distribution

Step-by-step explanation:

Mathematically, we go on to look at the formula for confidence interval calculations here

The formula involves multiplying z by the s

which is the z-value and the standard deviation

Increasing the standard deviation value means we are increasing the product of multiplying z and s

This means that we are getting a larger value for the multiplication

Thus, we now have a wider confidence interval value as a result of a larger product

So this means that the CI would become wider due to the usage of the z-distribution

Valeri ran 2 miles in 20 minutes if she continue to run at the same rate how far will she have ran after 50 minutes

Answers

she runs 4 miles in 40 minutes so then if it is consistent she runs 1 mile in 10 minutes so the answer will be she runs 5 miles in 50 minutes

A system of equations is shown. `4x + 3y = 8` `4x` `–` `3y =` `-16` solve for x

Answers

Answer:

(-1;4).

Step-by-step explanation:

[tex]\left \{ {{4x+3y=8} \atop {4x-3y=-16}} \right. \ + \ = > \ \left \{ {{8x=-8} \atop {4x+3y=8}} \right. \ = > \ \left \{ {{x=-1} \atop {4x+3y=8}} \right. \ = > \ \left \{ {{y=4} \atop {x=-1}} \right.[/tex]

A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 8 cm more than the shorter leg and the hypotenuse 16 cm more than the shorter leg. what’s the perimeter of the triangle ?

Answers

The perimeter of the triangle is 3x + 24 cm.

What is the perimeter of the triangle?

A right triangle is a three-sided triangle that is made up of a length, base and the hypotenuse. The hypotenuse is the longest side of the right triangle The sum of the square of the two other sides of the triangle is equal to the square of the hypotenuse. The sum of angles in a right triangle is 180 degrees.

The perimeter of a right triangle is the sum of the length of the three sides of the triangle.

Perimeter = hypotenuse + base  + height

Base = x Height = 8 + x Hypotenuse = 16 + x

Perimeter = x + 8 + x + 16 + x

3x + 24 cm

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1. Find the value of 3x -2x^2 ; when x = -3. ^ means "power of"

Answers

Answer: -9
Explanation: 3x-2x^2 x=3
We replace each x with 3.
3(3)-2(3)^2
Then we solve the equation using pemdas
3(3)-2(9)
9-18= -9

Use Pythagorean Theorem to solve for side length AC. Round your answer to the
nearest tenth.
34 m
41 m
O AC 62.4 m
O AC = 56.2 m
O AC- 75.0 m
O AC = 53.3 m

Answers

Answer: AC=53.3

Step-by-step explanation:

So we got the genious's theory that we all love/hate with

a^2 + b^2 = c^2

Now the longest side which in our case is also side (AC) is always gonna be C. So remember the longest side is always C. Since they give us the other 2 sides, we know those sides are (A) and (B) in the theorem.

So lets substitute.

34^2 + 41^2 = C^2

Simplify and It Equates to:

1156 + 1681 = c^2

2837 = c^2

Now Square Both Sides to cancel out that pesky ^2 on the (C) variable.

And you get 53.26 which rounds to 53.3 on your test. Good Luck!

Help please
6. Super Bowl Ages Listed below are the ages of the same 11 players used in the preceding
exercise. How are the resulting statistics fundamentally different from those found in the pre-
ceding exercise?
41 24 30 31 32 29 25 26 26 25 30

Answers

a. Mean of data set = 29

b. Median of data set = 29

c. Mode of data set= 25, 26, 30

d. Midrange of data set = 32.5

What is mode of data set?

Mode of a data set is the value that appears the most often in a data set.

Given that;

Super Bowl ages listed below,

41, 24, 30, 31, 32, 29, 25, 26, 26, 25, 30,

Now, Calculate mean of the data as,

Mean = 41 + 24 + 30 + 31 + 32 + 29 + 25 + 26 + 26 + 25 + 30 / 11

         = 319 / 11

         = 29

And, Calculate Median of data as;

Firstly arranged in ascending order,

24, 25, 25, 26, 26, 29, 30, 30, 31, 32, 41

Since, There are 11 numbers (odd).

Hence, Median = 29

And, Calculate Mode of data set as;

Since, Mode of a data set is the value that appears the most often in a data set.

So, Mode = 25, 26, 30

Since, Midrange of data set is exactly halfway between the minimum and maximum numbers in a set of data.

So, Midrange = 41 + 24 / 2

                    = 65/2

                    = 32.5

Thus, Mean of data set = 29

Median of data set = 29

Mode of data set= 25, 26, 30

Midrange of data set = 32.5

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The complete question is this;

Super Bowl Ages Listed below are the ages of the same 11 players used in the preceding exercise. How are the resulting statistics fundamentally different from those found in the preceding exercise?

41 24 30 31 32 29 25 26 26 25 30

Calculate the value of;

A. Mean

B. Median

C. Mode

D. Midrange

The ratio of boys to girls in a class is 4:5
What fraction of the class are boys?
What fraction of the class are girls?

Answers

Answer:

4/9 for boys and 5/9 for girls

explanation:

there are 4 boys and 5 girls

so there are nine in total

if there are four boys and 9 in total then the fraction would be 4/9

and if there are 5 girls and 9 in total then the fraction would be 5/9

hope this helps and it plays Mark brainliest :D

Plz help ASAP I’ll give brainliest 47 minutes to answer hurry
5
6
7
8
10
Ray created the list of factors for 48 below.
48: 1, 2, 3, 4, 6, 7, 8, 12, 16, 24, 48
Which number should be removed from his list to make the list accurate?
7
ОООО
16

Answers

Answer:

the factors of 48 are 1 2 3 4 6 7 8 12 16 24 48

at the local fair one barn is displaying chickens and rabbits. there are 140 chickens and 160 rabbits. each animal is in its own cage the cages will be arranged in equal rows without mixing animal types. what is the greatest number of animals that can be in each row.

Answers

Answer:

the answer would be 10 animals in each row without mixing up the animals

Step-by-step explanation:

Is this equation an identity? 2c − 2c = 0

Answers

Answer:

no it is. not

Step-by-step explanation:

but some consider it an identity but it's not

4. (2)
Divide $27,000 into 3 parts so that the second part is three times the first and the
third part is twice the second.

Answers

Answer:

the first part is $2700

the second part is $8100

the third part is $16200

Step-by-step explanation:

Call the first part a (a>= 0)

=> the second part 3a

=> the third part 2.3a = 6a

Because the total of three parts is 27000 so we have:

a + 3a + 10a = 27000

<=> 10a = 27000

<=> a = 2700 (satisfied)

so

the first part is: a = $2700

the second part is: 3a = 3 . 2700 = $8100

the third part is: 6a = 6 . 2700 = $16200

p/s: actually there are some word I don't know how to express them in English. So please notice to correct them

Which table correctly lists the reason to prove Line 1 = line 3 given that AB intersects CD

Answers

Answer:

D

Step-by-step explanation:

D

Answer: D

Step-by-step explanation: i just took the test

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Wendy needs to purchase 34 vases, which cost $3 each, and flowers for the vases, which cost $2 each. She has $442 to spend on her vases and flowers.Which of the following inequalities would show the maximum number of flowers, x, Wendy can buy without spending more than $442?Answer choices: A. x + $34 $442 D. $2x + $102 > $442 Respond with True or False - if FALSE, explain whyYour friends, family and environment can influence what foods you eat? Eating breakfast can help your performance in school. It is possible for a person with a high body weight to have a healthy level of body fat.Weight loss is the focus of any weight management plan. Eating disorders are serious health problems that require medical help.Diarrhea can be life threatening.Most food-borne illnesses are caused by food eaten at restaurants. 2. How are the man and the dog similar? How are they different? what is a possessive pronouns????????????// HURRYYYYYYY!!!!!!!!!!!! For dinner, jerry had a double cheeseburger and one order of medium fries totalalling 1200 calories. Joe has two double cheeseburgers and one medium fry totalling 1260 calories. How many callories are in one cheeseburger and medium frys what's a theme for learning and growing? 3. Write the equation and solve for: Five subtracted from the product of six pointand a number is the same as thirteen. (Use the letter "n" as your variable) Policing in the United States primarily exists at the ______________ governmental level, usually as an administrative department that is always part of the _____________ branch of that government how many years would it take to reach the star from earth, as measured by observers on the spacecraft What is the surface area of the solid p=a+b+c solve for a please help Work with a partner and state your agreement or disagreement with the statements below. Be ready to justify your stand1. The early filipinos have high literacy rate.2. They had no foreign relations. 3. They were not self-sufficient.4. Several professions already existed.5. They already had an advanced civilization.6. Early filipinos enjoyed a high standard of government.7. Our forefathers already possessed a working judicial and legislative system. Isaac buys eggs and apples at the store. .He pays a total of $24.26. He pays a total of $4.36 for the eggs. He buys 5 bags of apples that each cost the same amount. Write and solve an equation which can be used to determine x, how much each bag of apples costs. Equation: Answer: x = Submit Answer agine a situation where you are forced make a difficult choice between two different career . you want to become business man but your parents wants you to become a doctor. which option would you choose and why IsA person's batting average is determined by dividing the number of hits by thenumber of at bats. William has 11 hits in 53 at bats and has a batting average of0.208. He wants to have a batting average of at least 0.300.Which equation could be used to determine x, the number of hits in a row Williamneeds to get in order to have a batting average of at least 0.300?11xA. 0.300 s53x11B. 0.300x s5311 + xC. 0.300 s.5311 + xD. 0.300 s53 + x Can somebody please help? Will give brainliest and 27 points Suppose there is a country that suffered great losses during World War II. In its weakened state, it still hopes to resist communist influence. The country joins NATO and receives support through the Marshall Plan. Which of these characteristics is the country most likely to have? A. A capitalist economy B. Opposition to the United Nations C. Totalitarian government D. An alliance with East Germany Hace sol, hace calor, -----which is the corre(10 Points)Estoy en la picinaEstoy esquiando What is the measure of angle x Nous______trs faim, et nous trs____ fatigus. O A. sommes/avons O B. avons/sommes