41. Suppose a laboratory has a 60 g sample of polonium-210. The half-life of polonium-210 is about 138 days.
a. How many half-lives of polonium-210 occur in 828 days?
b. How much polonium is in the sample 828 days later?
a. 6; 0.94 g
c. 6; 10 g
b. 7;0.47 g
d. 6; 4,140 g
ettings

Answers

Answer 1
a. 6 half-lives; 0.94 g remaining

828 / 138 = 6

60 x 0.5^6 = 0.9375

Related Questions

There are 2121 students in a school. A PE teacher wants to arrange maximum possible number of students in the field such that the number of rows is equal to the number of columns. How many students are left out in this arrangement?

Answers

Answer:

5 students are left out in the arrangement.

Step-by-step explanation:

If the number of rows = the number of columns  

Then there must be an equal arrangement

Since the total number of students in the school is 2121

Then, the students that are left out in this arrangement = 2121 - (√2121 X √2121

Note the result of the square root would only consider the whole number, the digits after the decimal point signifies the remaining number that can't fit into the arrangement

so, √2121 = 46.05 (so 46 would be used)

= 2121 - (46 X 46)

= 2121 - 2116 = 5

Therefore 5 students are left out in the arrangement.

Whats the y-intercept of -2x - y=3

Answers

Let’s first write this in the slope form: y=mx+b.
m is the slope and b is the y intercept.
-2x-y=3
y=-2x-3
So the b, or the y intercept is -3

Hi can someone please help me with these questions.

Answers

Answer:x=3, x=18, x=29, x=30, x=27

Step-by-step explanation: for problems like the first one, the angles add up to 180 since it’s just a straight line.

The second problem is a right angle so 90°. It gives you 2x and 3x. Part + part =whole so you have 5x=90 then just solve.

Angles across from each other are the same so just 145=5x then solve.

Math help please urgent

Answers

Answer:

THREE AND SIX OR FOUR AND FIVE

Step-by-step explanation:

They're just opposite ends !

Step-by-step explanation:

Alternate Interior Angles: 3 and 6

Alternate Exterior Angles: 2 and 7

x = 4 and y = 2, what is the value of x^2 + y^3 ?

Answers

Answer:

14

Step-by-step explanation:

x * 2 = 8

y * 3 = 6

6 + 8 = 14

HELP ASAP PLEASE!!!!!

Answers

I think the answer is (6,-4)
i think it will be (4,-4)

I’m struggling in finding the nearest cent, May you please help me

Answers

Answer:

$88.48

Step-by-step explanation:

First, we can check the formula for compound interest, which is

[tex]A = P (1 + r)^{n}[/tex] , with A representing the end amount, r representing the interest rate, and n representing the amount of times compounded. We know that the interest rate is 9% (to convert this to a decimal, we can divide it by 100, resulting in 0.09), the end amount is 700, and the amount of times compounded is however many months are in 2 years (there are 12 months per year, and 12 *2 = 24, so 24 times).

Thus, our equation is

[tex]700 = P (1 + 0.09)^{24}\\700 = P (7.911083)\\[/tex]

Divide both sides by 7.911083 to isolate P, and we get

P = 88.48 (rounded to the nearest cent)

Find a, b and c for the function x^2 + 2x - 6 = 0

Answers

Remember y = ax^2 + bx + c

That means a = 1, b= 2 and c = -6

Please help with these problems

Answers

Answer:

thank you for thissssssss

pls help me pls and thank u

Answers

94 step by step below

what is the value of x?​

Answers

Answer:

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180 degrees

so

70 + 35 + x = 180 add like terms

105 + x = 180 subtract 105 from both sides

x = 75

Answer:

75  degrees

Step-by-step explanation

triangles add up to 180 degrees so, 70+35= 105 degrees, 180-105= 75 degrees

What is the median for this set of data?
28, 32, 15, 19, 24, 26, 22, 32, 30

Answers

Step-by-step explanation:

according order 15 , 19,22, 24,26,28,30,32,32. answer is 26

Answer:

Hello There!!

Step-by-step explanation:

26 is the median as you order the numbers smallest to largest.Therefore,it is 15,19,22, 24, 26,28,30,32,32 and the amount of numbers are odd so the median is the middle number.If it was even the two middle numbers would be added together and then divided by 2.

hope this helps,have a great day!!

~Pinky~

Anyone know how to do this

Answers

Answer:

77

Step-by-step explanation:

3+2*49-24

3+98-24

101-24

77

Good luck

Answer:

77

Step-by-step explanation

3+2X7^2-4X6

First complete the exponent

3+2X49-4X6

Then multiply

3+2X49-24

Multiply

3+98-24

Calculate the rest of the equation

101-24=77

Therefore the answer is 77.

Please don't be mad if this is incorrect

Also the x's are multiplication symbols and NOT variables

Dois triângulos semelhantes possuem razão entre suas áreas igual a 9. Se o perímetro de um deles é 10, o perímetro do outro deve ser:

Answers

Answer:

O perímetro do outro triângulo deve ser ou de 30 unidades de comprimento, ou de 3.33 unidades de comprimento.

Step-by-step explanation:

Dois triângulos semelhantes possuem razão entre suas áreas igual a 9.

O perímetro tem grau um, enquanto a área tem grau 2. Isto implica que a razão entre os perímetros é a raiz quadrada da razão entre as áreas, então a razão entre os perímetros é de 3.

Se o perímetro de um deles é 10, o perímetro do outro deve ser:

Ou 10*3 = 30, ou [tex]\frac{10}{3} = 3.33[/tex]

O perímetro do outro triângulo deve ser ou de 30 unidades de comprimento, ou de 3.33 unidades de comprimento.

Find the circumference of each circle from the given radius or diameter

Please help

Answers

Answer: 1) 113.20 yds 2) 75.40 yds 3) 44 yds

*These answers were calculated using the true value of pi, not 3.14*


Hope this helps シ

A person runs 1/4 mile in 1/28 hour. What is the persons speed

Answers

Answer:

7

Step-by-step explanation:

speed x time = distance

? x time = distance

1/28x = 1/4

1/28x          1/4

_____ =  _____

1/28          1/28

1/4 ÷ 1/28

(reciprocal method) 28/1

1/4 × 28/1 (change the equation into multiplication)

1/4 × 28/1 = 28/4 (multiply)

(Simplify) 28/4 ---> 7/1 or 7

final answer:

The persons speed would be 7.

Coach Peters has 12 gallons of water to fill buckets for field day. If
each bucket needs of a gallon to fill, how many buckets can he fill?

Answers

Answer:

Step-by-step explanation:

D.36

because 12 divided by 1/3 is 36

Lines J and k intersect at point Q and h is a straight line. What is the value of X ?

Answers

Answer:

Step-by-step explanation:

Angles on a straight line add up to 180 so 180-135 equals 45. Vertically opposite angles are equal so the second angle inside the triangle equals 100. Henceforth, we can solve this equation:

x +45+100 = 180 (angles in triangle add up to 180)

x+145=180

x=35

Vertically opposite angles are equal so x will become 35.

Hope this helps!

A track coach records the number of miles that he ran per day over the month. The stem-and-leaf plot below summarizes this data.

Answers

Answer:

[tex]Mean = 6.70[/tex]

Step-by-step explanation:

Given

See attachment for plot

Required

The mean of the plot

Mean is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

Where

[tex]n = 20[/tex]

Using the given key to read, the plot;

We have:

[tex]Mean = \frac{3.00+3.25+4.25+5.00+..........+8.75+9.50}{20}[/tex]

[tex]Mean = \frac{134.00}{20}[/tex]

[tex]Mean = 6.70[/tex]

PLEASE HELP!! The green line below *blank*. Check all that apply.

A. is parallel to the x-axis

B. crosses the origin

C. is in the xy-plane

D. crosses the y-axis

Answers

Answer:

D. crosses the y-axis

[tex]{ \tt{crosses \: y - axis \: at \: y = 5}}[/tex]

Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for
recycling. Abha collected 178 more cans than Shane did.
Write an inequality to determine the number of cans, S, that Shane could have collected.
What is the solution set of the inequality?

Answers

Answer:

s + 178 = Abha's Can's

Step-by-step explanation:

Well since Abha collected 178 more cans than Shane, it would be Shane's amount of cans they collected AND 178 cans on top of that.

(i didnt know if you wanted the solution of s or just the equation on how to find s)

What is the product?

Answers

Answer:

[tex]21x^{7}y^{11}[/tex]

Step-by-step explanation:

Remove the parentheses and take out the constansts.

[tex](7 x 3) x^{2} x^{5} y^{3} y^{8}[/tex]

Simplify 7 x 3 to 21.

[tex]21x^{2} x^{5} y^{3} y^{8}[/tex]

Use the product rule: [tex]x^{a} x^{b} = x^{a + b}[/tex]

[tex]21x^{2 + 5}y^{3+8}[/tex]

Simplify 2+5 to 7.

[tex]21x^{7}y^{3+8}[/tex]

Simplfiy 3 + 8 to 11.

[tex]21x^{7}y^{11}[/tex]

¿¡ Cuanto es "(8 x 7 + 5 x (-8)) : (-4)" ??

Answers

Answer:

-4

Step-by-step explanation:

So like ur last problem do it in order left to right.

[8x7]+5x(-8)/(-4)

56+[5x(-8)/-4

56+(-40)/-4

16/-4=(-4)

Sorry if i did in wrong order.

Answer: 4(14x-11) hop that can help you

What is an equivalent expression for 6v + -1 ?

Answers

Answer:

5v is an equivalent expression for 6v + -1 ?

Answer:

5v is equivalent expression for 6v + -1

The area of a rectangular parking lot is 3960 m²
If the length of the parking lot is 72 m, what is its width?

Answers

Answer:

3816m

Step-by-step explanation:

72 + 72= 144

8960 - 144= 3816

The diagram shows the locations of Cody and Reese after running
different directions from a tree. How far did Cody run?

Answers

Answer: 80yd

Step-by-step explanation:

for freshman year Nick had 3.5 for a gpa. what gpa does Nick needs for sophomore, junior, senior year to get the average of at least 4.0?

Answers

Answer:4.0

Step-by-step explanation:

A cylinder-shaped drainage pipe 66 in. long measures 25.12 in. around.


What is the volume of the drainage pipe?

Answers

Answer:

Step-by-step explanation:

25.12 inches around means diameter. So radius = 12.56 inches

   volume  [tex]= \pi r^2 \times h =\pi \times 12.56^2 \times 66 = 32709.44 \ in^3[/tex]

Answer:

The volume of the drained pipe is 32692.11 in ³.

Step-by-step explanation:

Given :-

Diameter of drainage pipe = 25.12 in

So, radius , r = 25.12 in = 12.56 in

Height of drainage pipe, h = 66 in.

To Find :-

Volume of the drainage pipe

Solution :-

We know that,

Volume of cylinder = π × r ² × h

substitute the values

Volume of pipe = 3.14 × (12.56 in)² × 66 in

simplify

Volume of pipe =3.14 ×157.7536 in² × 66in

multiplying ✖ the values

Volume of the pipe = 32,692.11 in ³

Therefore, the volume of the drained pipe is 32692.11 in ³.

En un sistema masa resorte (masa atada a un muelle) ¿en qué punto la masa alcanza su máxima velocidad?

Answers

Answer:

yo just search up Spanish translator

Which of the following is RS? pls answer asap thank you

Answers

Answer:

not sure

Step-by-step explanation:

but I think it's c tell me if I'm correct please but I'm not sure if u have no time just click C)

Answer:

c

Step-by-step explanation:

Other Questions
Which phrase is an example of personification?A. lightning rods standing guardB. dismissed the automobile as a passing fancyC. string power lines up to the houseD. idea of a human traveling into outer space How to wear black formal shoes? What is the range of the given function? Suppose your roommate. Clara is starting room cleaning business on your campus. There are five potential workers. Each is willing to work for the following daily wage: Person Daily wage requirementAlex $110 Diane $130Cedric $150Peter $170Suppose that each person could clean eight rooms in a day and that Clara charges $21 for each room that is cleaned. How marry workers should Clara hire? Electronic health records (EHR) reduce medical error by improving the _________ and _________ of the medical record. is the internet the most important invention in history? What is the slope-intercept equation of the line below 1. tu no eres linda eres. 2. tu no eres buena tu eres. 3. tu no te metas en la cama t te. what can a wave be described as thesis for juvenile delinquency HELP? Which product is the new England famous for manufacturingComputers, planes ,shoes or cars WILL GIVE BRAINLYEST ANSWER HELP ASAP Help, please, what is the answer?? Pls help quickly! First 2 answers i will chose to get a brainliest! about 650ce muslim ambassadors and teachers reached________which dynasty How did this new Fugitive Slave Act impact abolitionists? How many years can a person serve as President of the United States? 3/7-2/14+1/21What is the answer to this What is the equation, written in vertex form, of a parabola with a vertex of (2, 6) that passes through (1, 3)? What are some design elements that the religious structuresfrom Islamic, Romanesque and Gothic architecture share? Whatare some design features that separate these 3 eras ofarchitecture in terms of aesthetics? assume that in the short run a firm is producing 800 units of output, has average total costs of $150, and has cost of $100. the firm's total variable costs are?