The sample loses 1/3of it’s mass every ___ days

The Sample Loses 1/3of Its Mass Every ___ Days

Answers

Answer 1

Answer:

The sample loses [tex]\frac{1}{3}[/tex] of its mass every [tex]\frac{1}{3}[/tex] days.

Step-by-step explanation:

Expression that shows the relation between final mass of the element after 't' days is,

M(t) = [tex]900(\frac{8}{27})^t[/tex]

If M(t) = two third of the initial mass [After the loss of one third of the initial mass remaining mass of the element = 1 - [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{3}[/tex]rd of the initial mass]

[tex]900\times \frac{2}{3}=900(\frac{8}{27})^t[/tex]

[tex]\frac{2}{3}=(\frac{8}{27})^t[/tex]

[tex]\frac{2}{3}=[(\frac{2}{3})^3]^t[/tex]

[tex](\frac{2}{3})^1=(\frac{2}{3})^{3t}[/tex]

By comparing powers on both the sides

3t = 1

t = [tex]\frac{1}{3}[/tex] day

Therefore, The sample loses [tex]\frac{1}{3}[/tex] of its mass every [tex]\frac{1}{3}[/tex] days.


Related Questions

1
. a) Write in standard form:
i) 2 470 000​

Answers

two million four hundred seventy thousand

Two million four hundred seventy thousand

Sean is playing a board game. To win he needs to roll a sum of 10 or more with a pair of dice on his next turn. There are 11 possible sums when you roll 2 dice and 3 of these outcomes will result in him winning this game. Sean therefore says that the probability that he will win the game is 3/11. Explain the mistake in Sean's thinking.

Answers

Answer: 1/6

Step-by-step explanation:

Two fair dice is rolled once,

To win sum of the two dice should equal 10 or more

To get a sum equal 10 or more,

The total possible outcome when two dice is rolled once = 6^2 = 36

Sample space is attached below

Total required outcome to win (probability of having a sum of 10 or more)

n(sum of 10 or more) = 6

Therefore, probability of winning equals :

P(winning) = (Total required outcome / Total possible outcomes)

P(winning) = n(sum of 10 or more) / total possible outcomes

P(winning) = 6/36 = 1/6

a manager bought some stamps she gave 1/3 of them to the cashier and 1/5 of them to her secretary.if the secretary received 40 fewer stamps than the cashier how many did the cashier receive?​

Answers

Answer:

The cashier received 100 envelopes

Step-by-step explanation:

let the number of stamps bought be x.

Cashier will receive 1/3 *x = x/3

Secretary will receive = 1/5 * x = x/5

Now we are told that the secretary received 40 fewer.

This means that the difference between the amounts they received is 40

Mathematically;

x/3 - x/5 = 40

2x/15 = 40

x = (15 * 40)/2 = 600/2 = 300

The cashier received x/3 = 300/3 = 100

Answer:

Cashier received 100 stamps

Step-by-step explanation:

1/3 to cashier

1/5 to secretary

Total stamps=x

Cashier=(1/3)x

Secretary=(1/5)x

Secretary received 40 fewer stamps than the cashier

Difference between cashier and secretary share=40

1/3x-1/5x=40

(2/15)x=40

40×15=2x

600=2x

x=300

Cashier=(1/3)x

=(1/3)300

=100

A manufacturer designs a circular ornament with lines of glitter as shown. Identify m∠PSR.



m=60


m=30


m=90


m=120

Answers

Answer:

120

Step-by-step explanation:

The measure of the arc QR⏜ intercepted by the inscribed ∠QPR is given.

According to the Inscribed Angle Theorem, the measure of the inscribed angle is equal to one-half the measure of the arc.

m∠QPR=12mQR⏜

Substitute 60° for mQR⏜.

m∠QPR=12(60°)

Simplify.

m∠QPR=30°

The figure shows the same circle as in the beginning of the task. Triangle P R S is highlighted in red. Angle S P R measures 30 degrees.

It is given that m∠SRP=30°. Use the Triangle Sum Theorem to find the measure of the unknown ∠PSR.

m∠SRP+m∠SPR+m∠PSR=180°

Substitute the known values.

30°+30°+m∠PSR=180°

Simplify.

60°+m∠PSR=180°

Subtract 60° from both sides.

m∠PSR=120°

Therefore, m∠PSR=120°.

Marilyn is playing a game where she draws a slip of paper with the words "Rock, Paper, Scissors" written on each slip from a hat. She then flips a coin. She predicts "Paper" and calls Tails. She wins if she is correct. What is the probability she will win?

Answers

Answer:

1/6

Step-by-step explanation:

In a game of "Rock, Paper, Scissors", there are three possibilities. The probability that Marilyn will get Paper is given as

1/3

In a coin flip, the probability that it will land on tails is

1/2

Therefore, the probability that she will win if she predicts "Paper" and calls Tails is the product of the individual probabilities:

1/3 * 1/2 = 1/6

Tanmay had some chocolates with him. He gave one-third of them to Akash and one-fifth of them to Sharad. Tanmay could do so without breaking any chocolate. Which of these could be the number of chocolates Tanmay had in the beginning?

Answers

Answer:

The possible value of X are;

15, 30, 45, 60 etc

Step-by-step explanation:

The parameters given are

Number of chocolates Tanmay had = X

Number of chocolates Tanmay gave to Akash = 1/3 × X

Number of chocolates Tanmay gave to Sharad = 1/5 × X

Whereby 3 and 5 are factors of X, therefore;

3 × 5 = 15 is the lowest single factor of X

The possible values of X starting from the lowest factor are given as follows;

15 × 1 = 15

15 × 2 = 30

15 × 3 = 45

15 × 4 = 60

Hence, the possible value of X are the arithmetic progression a + (n - 1)×d

Where:

a = 15

n = 1, 2, 3, 4, ...

d = 15

Which includes;

15, 30, 45, 60

can someone please answer this math question

Answers

Answer:

The answer is in the picture

Can i Get help please ASAP I will Give Brainliest

Answers

Answer:

MN is not congruent to QR

Step-by-step explanation:

If you look at the way the triangles are written, you have, MNO, and PQR. These should be written in the same order if they are congruent. Therefore, MN corresponds to PQ as they are both the first two, and likewise, QR corresponds with NO

4 cows and 12 horses on the farm there are 6 cows in the other farm how many horses are on the other farm

Answers

Here is the problem worked out. If you have any questions let me know!

Answer:

One solution was found :

                  x = 18

mark me as brainliest

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4/12-(6/x)=0

Step by step solution :

Step  1  :

           6

Simplify   —

           x

Equation at the end of step  1  :

  4    6

 —— -  —  = 0

 12    x

Step  2  :

           1

Simplify   —

           3

Equation at the end of step  2  :

 1    6

 — -  —  = 0

 3    x

Write the polynomial in standard form.
- 4 + 3x - 522

Answers

Answer:

3x-526

Step-by-step explanation:

the 3x would go in the beginning. then you subtract (-4-522)= -526.

What is an expression equivalent to 2(7 x + 3 - x ) ??

Answers

Answer:  Simplify the expression.

12x+6

Step-by-step explanation:

your answer is 12x+6

Solve the literal equation -cy + 8 = 4d – 3y for y.

Answers

Answer:

y=(4d-8)/(3-c)

Step-by-step explanation:

-cy + 8 = 4d – 3y3y-cy=4d-8y(3-c)=4d-8y=(4d-8)/(3-c)

Solve the following equation 7a-9=12​

Answers

7a-9=12

Add 9 to both sides:

7a= 21

Divide both sides by7

A= 3

Answer:

The value of a is 3.

Step-by-step explanation:

First, you have to add 9 to both sides to eliminate -9 on the left side :

[tex]7a - 9 = 12[/tex]

[tex]7a - 9 + 9 = 12 + 9[/tex]

[tex]7a = 21[/tex]

In order, to find a, you have to divide it by 7 :

[tex]a = 21 \div 7[/tex]

[tex]a = 3[/tex]

Please help I don’t understand this

Answers

Answer: 25 hours

Step-by-step explanation:

Let r = rate, t = time

From 1st sentence,

5r x 12 = 3

60r = 3

r = 3/60 = 1/20

From the next,

4r x t = 5

4 x 1/20 x t = 5

4/20t = 5 = 25

people. Houses Hours

5. 3 12

4. 5. ?

Cross multiply and get the reciprocal

4*3/5*5/12

12/25 *1/12

= 25

The bowl of a circular birdbath has an inside diameter of 18 inches, as shown in the drawing below.
When the bowl of the birdbath is full, which of the following is the closest to the area of the top surface of the water? Use 3.14 for π.


1017 square inches


254 square inches


113 square inches


57 square inches

please someone answer.

Answers

Answer:

The area of the surface of the water is approximately 254 square inches.

Step-by-step explanation:

When the bowl of the birdbath is full, the top surface area of the water is equal to the area of the circumference that contours the bowl, therefore in order to calculate its area we need to apply the following formula:

[tex]area = \pi*r^2\\r = \frac{d}{2} = \frac{18}{2} = 9 \text{ in}\\area = 3.14159*(9)^2 = 254.46879 \text{ in}^2[/tex]

The area of the surface of the water is approximately 254 square inches.

AB←→ is perpendicular to CD←→. How many 90° angles are formed by the intersection?

Answers

Answer: 4

Step-by-step explanation:

Since AB and CD are perpendicular lines, you know that they make 90° angles. Perpendicular lines make a t or + shape. Since it is 2 lines, you know there will be 4, 90° angles, to make up a full 360°.

state of the triangles in each pair are similar. If so State how you know they are similar and complete the similarity statement. Part 2​

Answers

Answer:

  not similar

Step-by-step explanation:

SAS similarity could be used if corresponding sides were proportional. They're not.

  36/26 ≠ 16/12

The triangles are not similar.

1. If (1, -2) is a solution of a linear equation 2x – y = p, then find the value of p.​

Answers

Answer:

Just put the values of x and y

x = 1

y = -2

2x – y = p

2(1) - (- 2) = p

p = 4

Answer:

The value of p is 4.

Step-by-step explanation:

In order to find p, you have to substitute the value of x and y into the linear equation :

[tex]2x - y = p[/tex]

[tex]let \: x = 1 \\ let \: y = - 2[/tex]

[tex]2(1) - ( - 2) = p[/tex]

[tex]2 + 2 = p[/tex]

[tex]p = 4[/tex]

Solve and graph. Thank you so much!

Answers

Answer:

Step-by-step explanation:

6 + x/2 >= -4

x/2 >= -10

x >= -20

solution is b

1. If x + 13 = 5, then the value of x is
(a) 18
(b)-18
(c)-8
(d) 8

Answers

Answer:

C

Step-by-step explanation:

The best way to find x is to plug in all the answer choices and see if they equal 5

lets start with A

18+13=5

31=5 which is incorrect

Let do B

-18+13=5

-5=5 which is incorrect

Lets do C

-8+13=5

5=5 which is correct!

Lets do D

8+13=5

21=5 which is incorrect

pls mark me brainliest

Answer:

The answer is (C) -8

Step-by-step explanation

x = -8

-8 + 13 = 5

It is basically like subtraction..

You subtract the 13 from the 8 even though its backwards.

-8 + 13 = 5

GIVE BRAINLIEST :) Morgan can paint a room in 10 hours, while Sophia can paint it in 4 hours. If Morgan paints for x hours and Sophia paints for y hours, they will finish half of the painting, while if Morgan paints for y hours and Sophia paints for x hours they will paint the whole room. Find the ordered pair (x,y), expressing both x and y as simplified fractions.

Answers

Answer:

x,y =  ( 3 17/21  ,  10/21)

Step-by-step explanation:

Painting the room = 1    whole job

Morgan rate =   1/10

Sophia rate  =  1/4

Rate x time = 1    job

1/10 x   + 1/4 y  = 1/2      and

1/10 y  +  1/4 x  = 1          solve for x,y

Multiply the top equation by - 2.5

(-2.5)/10 x   - (2.5/4) y = -1.25    

-1/4 x  - 5/8 y =  -1 .25

 and add to the second equation to get

1/10 y  - 5/8 y = -.25    solve for y

4/40 y - 25/40 y = -.25

-21/40 y = - .25

y =  10/21  hr                           Substitute this into one of the original equations to find 'x'

 

1/10  (10/21) + 1/4 x = 1

1/21 + 1/4 x = 1

1/4 x = 20/21

x = 80/21                                         x,y =  ( 3 17/21  ,  10/21)

please mark brainliest!

Ms. Alvarez wants to determine the seventh graders’ preferences for the location of the end-of-year field trip. Which of the samples is representative of the population?

Answers

Using sampling concepts, the representative sample is given as follows:

D. Every fifth student from an alphabetical list of all seventh graders in the school.

What is sampling?

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, the population is all seventh graders, hence the sample has to be representative of all seventh graders. Thus the correct option is:

D. Every fifth student from an alphabetical list of all seventh graders in the school.

More can be learned about sampling concepts at https://brainly.com/question/25122507

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please help will mark brainliest

Answers

Answer:

17 cm²

Step-by-step explanation:

First I cut this figure into 2 rectangles. One big and small one. (the big one is on top of the small rectangle).

For the big rectangle, I multiplied its length by its width.

The area of the big rectangle: 3cm * 5cm = 15cm²

For the smaller rectangle, I also multiplied its length and width.

The area of the small rectangle: 1cm * 2 cm = 2cm²

Add up its areas: 15+2

To get 17cm² as your final answer

You cast a fishing lure from 4 feet above the water. Its travel is given by the function h = -16t^2 + 24t + 4, where t = time in seconds. After how many seconds will it reach a height of 12 feet?

Answers

Answer:

Fishing lure will be at a height of 12 feet after 0.19 and 1.31 seconds

Step-by-step explanation:

Travel of a fishing lure has been given by the expression,

h = -16t + 24t + 4

where h = height of the fishing lure

t = time or duration of travel

Height traveled by the fishing lure = 12 - 4 = 8 feet

For h = 8 feet,

8 = -16t² + 24t + 4

-16t² + 24t + 4 - 8 = 0

16t² - 24t + 4 = 0

4t² - 6t + 1 = 0

t = [tex]\frac{6\pm\sqrt{(-6)^{2}-4(4)(1)}}{2\times 4}[/tex]

 = [tex]\frac{6\pm\sqrt{36-16}}{8}[/tex]

 = [tex]\frac{6\pm\sqrt{20}}{8}[/tex]

 = [tex]\frac{6\pm2\sqrt{5}}{8}[/tex]

 = 1.31, 0.19 seconds

what is the simpllified form of the expression x+x+10+2x-16​

Answers

Answer:

4x-6

Step-by-step explanation:

x+x+10+2x-16​

Combine like terms

x+x+2x     +10-16

4x   -6

4x-6

Answer:

[tex]4x - 6[/tex]

Step-by-step explanation:

[tex]x + x + 10 + 2x - 16[/tex]

combine like terms

[tex]x + x + 2x + 10 - 16 \\ 2x + 2x - 6 \\ = 4x - 6[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Can someone help me with this please and don’t guess I really need help

Answers

Answer:

it should be (5,4)

Step-by-step explanation:

♊♊♊

Answer:

A would be reflected across to (5,-4), so, the bottom answer.

Step-by-step explanation:

For reflections across an axis, all I really do is count how many units a point is from the axis you are reflecting across, and then count the many on the other side of the axis. On this problem, A was 4 units above the x-axis, and 5 from the y-axis. I just counted 8 units down, or, 4 units down from the x-axis, and since I didn't change where my point was on the y-axis, it landed on the point (5,-4).

given that
10 - √18
—————
√2
= a + b √2 where a and b are integers.
Find the values of a and b.

Answers

Answer:

a = -3

b = 5

Step-by-step explanation:

[tex]\frac{10-\sqrt{18}}{\sqrt{2}}[/tex]

Simplify the square root of 18.

[tex]\frac{10-3\sqrt{2}}{\sqrt{2}}[/tex]

Rationalize the fraction.

[tex]\frac{\left(10-3\sqrt{2}\right)\sqrt{2}}{\sqrt{2}\sqrt{2}}[/tex]

[tex]\frac{2\left(5\sqrt{2}-3\right)}{2}[/tex]

[tex]5\sqrt{2}-3[/tex]

Rewrite the answer in the form a+b√2.

[tex]-3 + 5\sqrt{2}[/tex]

The given form of expression a + b √2 where a and b are integers then the values of a and b are -3 and 5.

What is factorization?

factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

[tex]\frac{10 -\sqrt18} {\sqrt 2}= a + b \sqrt 2[/tex]

Simplify the square root of 18 then Rationalize the fraction,

[tex]\\\frac{10 -3\sqrt2} {\sqrt 2}\\\\\frac{(10 -3\sqrt2) \times \sqrt{2} } {\sqrt 2 \sqrt 2}\\\\\frac{ 2(5\sqrt2 -3) } { 2}\\\\(5\sqrt2 -3)[/tex]

Thus, the values of a and b are -3 and 5.

Learn more about factors;

https://brainly.com/question/24182713

What number should be added to both sides of the equation to complete the square? x2 + 3x = 6 (StartFraction 3 Over 2 EndFraction) squared 3 62

Answers

Answer:

b

Step-by-step explanation:

The number that should be added to the equation is n = ( 3/2 )²

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

To complete the square for the quadratic equation x^2 + 3x = 6, we need to add a constant term to both sides that will make the left-hand side a perfect square trinomial

First, we need to find the coefficient of the x-term, which is 3. Then we take half of this coefficient, which is 3/2, and square it, giving us 9/4.

To complete the square, we add this value to both sides of the equation:

x² + 3x + 9/4 = 6 + 9/4

The left-hand side can now be factored as a perfect square trinomial:

(x + 3/2)² = 33/4

To solve for x, we take the square root of both sides:

x + 3/2 = ±√(33/4)

x = -3/2 ± (1/2)√33

Hence , the number we need to add to both sides of the equation to complete the square is 9/4

To learn more about quadratic equations click :

https://brainly.com/question/25652857

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a salesperson earns a commission based on the number and type of vechile sold.A person selling 6 cars and 3 trucks earns $4,800.A person selling 8 cars and 1 truck earns $4,600.How much does a salesperson earn for selling 2 cars and 3 trucks?​

Answers

Answer:

$2800

Step-by-step explanation:

First divide $4800 by 3 which will give you $1600 which is the price for 2 cars and 1 truck.

= [tex]\frac{4800}{3} = $1600[/tex]

Next, subtract the $1600, which is the price of 2 cars and 1 truck  from $4600, which is the price of 8 cars and 1 truck giving you the price of 6 cars.

$4600 - $1600 = $3000

Now divide the $3000, the price of six cars, by three to get the price of 2 cars.

[tex]\frac{3000}{3} = $1000[/tex]

Lastly, multiply the $1000 by 2 to get the price of 4 cars. Then subtract this $2000, the price of 4 cars from the $4800, the price of 6 cars and three trucks to give you the price of 2 cars and 3 trucks.

$4800 - $1000 = $2800

in scientific notation, how can you tell if it is less than or greater than 1? Explain

Answers

Answer: See below

Step-by-step explanation:

In scientific notation, you can tell that it is greater or less than 1 by looking at the exponent. The scientific notation looks like _.__×10⁻. Note: The little lines are blanks for you to fill in. The dot at the bottom is a decimal.

If the exponent on top of 10 is positive, you are moving the decimal to the right side, making the number greater.

If the exponent on top of 10 is negative, you are moving the decimal to the left side, making it smaller and smaller.

By those statements, you can tell if a number is greater or less than 1 by looking at the exponent.

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