The half life of uranium-232 is 68.9 years.
a) If you have a 100 gram sample, how much would be left after 250 years?
b) If you have a 100 gram sample, how long would it take for there to be 12.5 grams remaining?

Answers

Answer 1
Answer

A) 8.08g

B) 206.7 years

Explanation

Part A)

Formulate the equation:

100g • 0.5^n = mass left

n = number of 68.9 years

250/68.9 = 3.63 ~ (3sf)

substitute n = 3.63

100g • 0.5^3.63 = 8.08g (3sf)

Part B)

100g • 0.5^n = 12.5g

Rearrange to find n

0.5^n = 12.5/100

0.5^n = 0.125

Use logarithms where:

a^c = b log a (b) = c

log 0.5 (0.125) = 3 = n

Since we defined n as number of 68.9 years

3 • 68.9 = 206.7 years

<~>\_/<~> Ho_odini <~>\_/<~>


Related Questions

Can someone help me please ​

Answers

Answer: y = 6

Step-by-step explanation:

A square's area can be done by using s^2, where s is y in this case.  Because there are 5 squares, the area of the figure is 5y^2.  Because the area is also 180cm, 5y^2=180.

Then divide both sides of the equation by 5 to get y^2 = 36.  Then square root both sides of the equation to get y = 6.

Hope it helps <3

.Calculate the time in which ₦1,500 will amount to ₦9,000 at 20% per annum.

Answers

Answer:

30 yrs

Step-by-step explanation:

SI = PRT/100

T = I × 100/PR

= 9000×100/1500×20

= 900000/30000

= 30 yrs

I’m confused please help!

Answers

Answer:

A is the answer.

Step-by-step explanation:

In option A, there are 9 red boxes and 3 blue boxes

If we simlify,

9 : 3 = 3 : 1 = 1 : 1/3

Hope you understand

Answer: Grid A

Step-by-step explanation:

The ratio red:blue is simplified to 1:1/3.

To make things easier, we can expand it so that both sides add up to 12(total number of squares in a grid).

We can multiply both sides by 9.

1 x 9= 9

1/3 x 9= 3

Now the ratio red:blue is 9:3, which adds up to 12.

Grid A is the only grid where there are 9 red squares and 3 blue squares.

PLEASE HELP, I WILL MARK YOU BRAINIEST Identify if the relationship represented in the tables below is linear. If the table is linear, write the equation of the line.

Answers

Answer:

a) Yes. y=-4x+2. b) No.

Step-by-step explanation:

a) For every section of the graph as x goes up 1, y does down 4. It has a proportional relationship and you can use the rise and run found to do rise/run and get a slope of -4 and when x is at 0, y is at 2, giving you a y-intercept of 2.

b) There is no proportional relationship using addition and subtraction so the graphed line would not be straight.

using y2-y1 over x2-x1 the first table is 10-14 over -2--3 which would be -4 over 1

The next one would be 4 over -1  

Not 100 percent sure

Zack bought 5 blue ties and 4 red ties. He will choose one at random to wear tomorrow. Find the probability that Zack will choose a red tie. Convert the fraction to a decimal. Round to three decimal places.

Answers

Answer:

0.444

Step-by-step explanation:

The total number of ties is 9, and there are 4 red ones.

So, the probability of choosing a red tie is 4/9.

4/9 = 0.444 as a decimal

The temperature of a city changed by -20°C over a four week. If the temperature changed by the same amount each week write an expression to show the average change in the temperature of the week simplify the expression and explain using words what your answer means

Answers

Answer:

A)  [tex]T=\frac{-20}{4}[/tex]

B) T = -5 °C

Step-by-step explanation:

A) Let T be the change in temperature of the week. T is determined as the total temperature change (-20°C) divided by the number of weeks that have passed (4 weeks). The expression is:

[tex]T=\frac{-20}{4}[/tex]

B) In order to simplify the expression, simply perform the division.

[tex]T=\frac{-20}{4}\\T=-5^oC[/tex]

This means that the temperature has dropped by 5 degrees each week.

48:PLEASE HELP Find the x-intercept of -x+2y=22

Answers

Answer:

-22

Step-by-step explanation:

set y equal to zero and solve like a regular singular variable equation

Which one of the following gives the gradient of the line shown above?

A: 3/2
B: -2/3
C: 2/3
D: 6
E: -3/2

Answers

Answer: A: 3/2

Step-by-step explanation:

When we have a line that passes through the points (x1, y1) and (x2, y2), the slope of this line is:

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

In this graph we can see that the line passes through the points:

(0, - 3) and (2, 0)

Then the slope is:

s = (0 - (-3))/(2 -0) = 3/2

Then the correct option is A.

The gradient of the line shown above is  A:  [tex]\frac{3}{2}[/tex]

Slope of the line that passes through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is :

slope  [tex]=\frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

Now, from the given graph we can see that the line passes through the points:

(0, - 3) and (2, 0)

The slope is:

[tex]s = \frac{(0 - (-3))}{(2 -0)} \\=\frac{3}{2}[/tex]

Therefore the correct option is A.

Learn more:https://brainly.com/question/10206962

Is it point A Point C Point H or Point L

Answers

Answer:

Step-by-step explanation:

La vaca

El pato

Answer:

L

Step-by-step explanation:

You need to find a point with a large x-coordinate and small y-coordinate or the reverse. Look at point L, (8, 1).

8 - 1 = 7

That is the largest difference between the coordinates of the points shown in the graph.

Given the functions f (x) = x^2 + 4 and g (x) = 3x+ 8 what is a solution for the equation ? x^2 + 4 = 3x + 8 A. 0 B. 1 C. 2 D. 4

Answers

Answer:

D

Step-by-step explanation:

Let's solve your equation step-by-step.

x2+4=3x+8

Step 1: Subtract 3x+8 from both sides.

x2+4−(3x+8)=3x+8−(3x+8)

x2−3x−4=0

Step 2: Factor left side of equation.

(x+1)(x−4)=0

Step 3: Set factors equal to 0.

x+1=0 or x−4=0

x=−1 or x=4

Answer:

x=−1 or x=4

Simplify (4x+5y) (2x-3y) + 3xy

Answers

Answer:

the answer is 8x^2+xy-15y^2

What is the solution of 3+ x-2/x-3 less than or equal to 0

Answers

Answer:

The solution set consists of all the real numbers smaller than or equal to 11/4:

[tex]x\leq \frac{11}{4}[/tex]

Step-by-step explanation:

We need to solve for x (that means isolate x on one side of the inequality symbol) in the following inequality:

[tex]3+\frac{x-2}{x-3} \leq 0\\\frac{x-2}{x-3} \leq -3\\x-2\leq -3\,(x-3)\\x-2\leq -3x+9\\x+3x\leq 9+2\\4x\leq 11\\x\leq \frac{11}{4}[/tex]

PLEASE HELP ME IM BEGGING

Answers

The answer is 3,0,0 I’m not 100% sure but I think is correct

Please answer it now in two minutes

Answers

Answer:

p = 67

Step-by-step explanation:

The polygon has 8 sides.

The sum of the measures of the interior angles is:

180(n - 2) = 180(8 - 2) = 180(6) = 1080

p + 49 + 2p + 7 + 2p + 142 + p + 50 + 2p + 147 + 2p + 15 = 1080

10p + 410 = 1080

10p = 670

p = 67

Name the point of intersection.

Answers

Answer:

F

Step-by-step explanation:

Answer:

The point of intersection is F as that is the point where both lines cross each other, and since that is the only point where both lines go through it, it is the point of intersection.

Enter the correct number word to complete the conversion. 1 milliampere = one ? of an ampere

Answers

Answer:

One milliampere is equal to 0.001 ampere.

Step-by-step explanation:

Mili, refers to thousandth. (for example, millimeter or milliliter.)

Suppose the linear regression line y = 3.27x + 1.52 predicts the weight of a large dog, in pounds, x weeks after it is born. About how much would the dog weigh after 6 weeks?

Answers

Answer:

y=21.14

Step-by-step explanation:

x=6 because after 6 weeks

y= 3.27(6)+ 1.52

y=19.62 + 1.52

y=21.14

Which are the roots of the quadratic function f(b) = b2 - 75? Select two options

Answers

Answer: Option  A, & B

(A) b = 5 StartRoot 3 EndRoot    b= 5[tex]\sqrt{} 3[/tex]

(B) b = Negative 5 StartRoot 5 Endroot  b= -5[tex]\sqrt{} 3[/tex]

Step-by-step explanation:

help asap please and thank you!!

Answers

Answer:

[tex] \angle T \cong \angle Z[/tex]

Step-by-step explanation:

[tex]\because \triangle QPT \cong \triangle ARZ... (given) \\

{ \purple{ \bold{\therefore \angle T \cong \angle Z.. (c.a.c.t.)}}}[/tex]

The principal represents an amount of money deposited in a savings account subject to compound interest of a given rate.How much money there will be in the account after the given number of years. The principal is$5000, 5% Rate, quarterlybover a two year period.

Answers

Answer:

$5522.43

Step-by-step explanation:

The amount in an account for a principal P saved at compound interest for a duration of n years compounded with period k at an annual interest rate of r% is calculated using the formula:

[tex]A(n)=P(1+\frac{r}{k})^{nk}[/tex]

In this case:

Principal, P=$5000Interest Rate, r=5%=0.05Time, n=2 yearsPeriod, k=4(Quarterly)

Therefore, the amount is:

[tex]A(n)=5000(1+\frac{0.05}{4})^{4*2}\\=5000(1+0.0125)^{8}\\=5000(1.0125)^{8}\\=\$5522.43[/tex]

The amount of money in the account at the end of the two years is $5522.43.

❗️10 points❗️
24. Find slope of the line.
A. 3/2
B. -3/2
C. -2/3
D. 2/3

Answers

Answer:

A

Step-by-step explanation:

the equation go from a negative Y value, to positive. The answer is A because it goes from (-2,-2), towards (0,1) increasing the Y value by 3, and the X by 2

Distribute and simplify the following: x(3x + 2)(-2x + 1)

Answers

the answer is -6x^3-x^2+2x

The path of a football kicked by a field goal kicker can be modeled by the equation y = -0.04x2 + 1.56x, where x is the
horizontal distance in yards and y is the corresponding height in yards. What is the approximate maximum height of the
football?
15.21 yd
19.5 yd
38.94 yd
45.63 yd

Answers

Answer:

19.5 yd

Step-by-step explanation:

To khown the maximum height we must derivate the function and see when the derivated function equals 0

Let f be our function : f(x)= -0.04x²+1.56x ⇒f'(x)= -0.08x+1.56

f'(x)= 0 ⇒ -0.08x+1.56 =0 ⇒1.56= 0.08 ⇒ x= 1.56/0.08 ⇒ x=19.5 so the maximum height is 19.5 yd

Answer:

45.63

Step-by-step explanation:

one and two third minus tow and one third?

Answers

Answer:

-2/3

Step-by-step explanation:

Step 1: Write out expression

1 2/3 - 2 1/3

Step 2: Convert to improper fractions

5/3 - 7/3

Step 3: Subtract

-2/3

Answer:

[tex]\frac{-2}{3}[/tex]

Step-by-step explanation:

[tex]1 \frac{2}{3} - 2\frac{1}{3} \\\\[/tex]

[tex]\frac{5}{3} - \frac{7}{3} = \frac{-2}{3}[/tex]

Hope this helps! :)

A pack of pens costs $3.25. A pad
paper costs $1.28. If you buy two
packs of pens and five pads of paper
how much do you spend?

Answers

Answer:

$12.90

Step-by-step explanation:

Rahul solved the equation 2(x – ) – 2 left-parenthesis x minus StartFraction 1 Over 8 EndFraction right-parenthesis minus StartFraction 3 Over 5 EndFraction x equals StartFraction 55 Over 4 EndFraction x = 2 left-parenthesis x minus StartFraction 1 Over 8 EndFraction right-parenthesis minus StartFraction 3 Over 5 EndFraction x equals StartFraction 55 Over 4 EndFraction . In which step did he use the addition property of equality? A table titled Rahul's Solution with 2 columns and 5 rows. The first column, Steps, has the entries 1, 2, 3, 4. The second column, Resulting equations, has the entries, 2 x minus StartFraction 1 Over 4 EndFraction minus StartFraction 3 Over 5 EndFraction x equals StartFraction 55 Over 4 EndFraction, StartFraction 7 Over 5 EndFraction x minus StartFraction 1 Over 4 EndFraction equals StartFraction 55 Over 4 EndFraction, StartFraction 7 Over 5 EndFraction x equals StartFraction 56 Over 4 EndFraction, x equals 10. Step 1 Step 2 Step 3 Step 4

Answers

Answer:

Step 3

Step-by-step explanation:

The solution is given in the image attached. The steps are:

Step 1:

[tex]2x-\frac{1}{4} -\frac{3}{5}x=\frac{55}{4}[/tex]

Step 2: simplifying the coefficients of x:

[tex]2x -\frac{3}{5}x-\frac{1}{4}=\frac{55}{4}\\\frac{10x-3}{5} -\frac{1}{4}=\frac{55}{4}\\\frac{7x}{5} -\frac{1}{4}=\frac{55}{4}[/tex]

Step 3: Adding 1/4 to both sides

[tex]\frac{7x}{5} -\frac{1}{4}+\frac{1}{4} =\frac{55}{4}+\frac{1}{4}\\ \frac{7x}{5}=\frac{55+1}{4}\\ \frac{7x}{5}=\frac{56}{4}\\[/tex]

Step 4: Multiplying both sides by 5/7

[tex]\frac{7x}{5}*\frac{5}{7} =\frac{56}{4}*\frac{5}{7} \\x=10[/tex]

The addition property of equality states that if a number is added to both sides of an equation, the equation is still valid (i.e the equation is still the same). From the steps above, The addition property of equality was applied in step 3

Answer:

c. step 3

Step-by-step explanation:

which of these shapes are parallelograms choose all correct answers

Answers

Answer:

The 2 pink ones

explanation: I got this right

The two pink diagrams in the given figure are parallelograms.

What is a parallelogram?

A unique kind of parallelogram created with parallel lines is called a parallelogram.

A parallelogram can have whatever angle between its neighboring sides, but for it to be a parallelogram, it's opposite sides must be parallel. If a quadrilateral's opposite sides are parallel and congruent, it will be a parallelogram.

So a rectangle both with pairs of separate sides being parallel and equal is known as a parallelogram.

The word "parallelogram" is a translation of the Greek term "parallelogrammon," which means "confined by line segments." As a result, a quadrilateral that is surrounded by parallel lines is called a parallelogram.

To know more about Parallelogram:

https://brainly.com/question/19187448

#SPJ2

In an effort to cut costs and improve profits, any US companies have been turning to outsourcing. In fact, according to Purchasing magazine, 54% of companies surveyed outsourced some part of their manufacturing process in the past two to three years. Suppose 555 of these companies are contacted. What is the probability percentage that 338 or more companies outsourced some part of their manufacturing process in the past two or three years? Round the percent to two decimal places.

Answers

Answer:

Step-by-step explanation:

This is a binomial probability distribution because there re only 2 possible outcomes. It is either a surveyed company outsourced some part of their manufacturing process in the past two to three years. The probability of success, p would be that a randomly selected company x, outsourced some part of their manufacturing process in the past two to three years. From the information given, p = 54/100 = 0.54

Number of success, x = 338

Number of samples, n = 555

We want to determine the probability that 338 or more companies outsourced some part of their manufacturing process in the past two or three years which is expressed as

P(x ≥ 338)

From the binomial probability calculator,

P(x ≥ 338) = 0.0006

The percentage is 0.0006 × 100 = 0.06%

Which of the expressions are monomials?

Answers

Answer:

nx∧(-3)

Step-by-step explanation:

Since it contains one term with the variable

Sort each function into the correct category
f(x) = 0.45-1
Linear Functions
Quadratic Functions
Exponential Functions
f(x) = 5
f(x) = 4,5x + 1.8
f(x) = 19x2
f(x) = x2 - 3x + 4
Fx) = 2x - 6

Answers

Answer:

^ DONT LISTEN TO HIM

Step-by-step explanation:

linear - 4.5x + 1.8 and 2x - 6

quadratic - 19x^2 and x^2 - 3x + 4

exponential - 5^x and  0.45^x-1

ur welcome if ur using edge

Other Questions
Hi there! My question is: What was the cause of the Native American tribes to seperate? 4. Make sentences about ways we can get hurt at school or home.. cut, break, fall , hit, hurt 1. We/finger/paper/classroom. We can cut our fingers with paper in the classroom 2. People/on a wet floor/toilets. 3. We/head/playground.4. Children/leg/on the stairs. 5. We/hands in the kitchen. Find the slope of the line. Find the measure of the remote exterior angle. Imagine you are one of the elderly residents of the Mount St. Vincent retirement home. Describe your experiences and feelings when you interact with the children in the day care center. How should you use textual evidence when you write a theme-basedsummary?A.to predict what may happen in stories with similar themesB.to help readers imagine all the details of the story's settingC.to explain the story's theme to other readers in a convincing wayD.to share background information about the story with interested readers -Given the graph of y = f(x), shown as a red dashed curve, drag the movable blue point to obtain the graph ofy = f(x - 4) + 3. AcellusIf P = (3,2), find the imageof P under the following rotation.180 counterclockwise about the origin([?], []).Enter the number that belongs inthe green boxEnter The InvestigationIts your first day shadowing a detective, and already its been interestingif you can call the murder of a young woman interesting. Youve been trying to detach yourself by reading the file, but you have interviews later this morning and youre nervous. Going back to the file, you jot down some notes on what you know so far.Melissa was a 35-year-old nurse-midwife with over ten years experience delivering babies both in hospitals, as well as in homes when risk for complications were low. She was healthy; her only medical condition was an allergy to bee stings. The body was discovered by her boyfriend when he came over for a planned dinner. The dinner spaghetti was laid out, but no cooking had begun. There was also a plate of cupcakes, with a bite out of only one of them. The boyfriend said Meleea had not mentioned feeling unwell when they spoke earlier in the day. She was, however, tired, and understandably upset about a long birth she had assisted with where a mother had died in childbirth.The medical examiner did not have results yet, so you sketch out some questions you have for the interviewees.1. Who would you interview, and what would you ask?2. Do you have any hypotheses about what happened to Meleea? Write at least one or two possibilities. please I need causes and Effects of having more technologies in future esaay. Pleassssss help! I will lose 32 Mark if I didnt write an essay but I dont know How to write it Please help me The voltage difference between the AA and AAA batteries should be quite small. What then might be the difference between them? In the outcome of the Opium War (18391842), what did the treaties do? The utopian socialist factory owner from Great Britain who worked to improve conditions for his workers was Jacob Riis Karl Marx Robert Owen Friedrich Engels What is the best application to create a slide show presentation? Indicate whether each of the following is counted in the United States Gross Domestic Product for the year 2008. Explain your answers. a. The value of a textbook sold through an online auction in 2008. b. Rent paid in 2008 by residents in an apartment building built in 2000. c. Commissions earned by a stockbroker in 2008. d. The value of automobiles produced in 2008 entirely in South Korea by a firm fully owned by United States citizens. e. The federal government opens a new military base in Iraq with 1000 U.S. personnel. The golf club is in contact with the golf ball for 1.8 ms and exerts a force of 1500 N on the golf ball. The mass of the golf ball is 0.045kg Calculate the velocity of the golf ball as it leaves the golf club. Velocity ______________ m/s Thank you :) ASAP Josh and Leon have 73 in total. They each spend 5. Josh now has 25% more than Leon. How much more money did Josh have than Leon at the start? Everyone agreed that the stalwart leader was courageous and determined, yet willing to apologize when she made a mistake. In the sentence above, which strategy could best be used to figure out the meaning of "stalwart"? Identify three adjectives that describe the leader. Notice that the leader was willing to apologize. Recognize that the sentence uses the signal word "yet." Recognize that the sentence restates "stalwart" with synonyms. identify and briefly explain figurative speech in the Denizens of mountains and show paragraphs they are found A computer game usually sells for $40. Niko bought it when it went on sale for 25% off. The sales tax was 6%. How much did Niko pay for the game?