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After a while, Jada picks up a coin that seems different than the others. She notices that the next day, only half of the coin is left!
On the second day, only 1/4 of the coin is left.
On the third day, 1/8 of the coin remains.
What fraction of the coin remains after 6 days?




What fraction of the coin remains after 28 days? Write an expression to describe this without computing its value.


Does the coin disappear completely? If so, after how many days?

Answers

Answer 1

Answer:

After 6 days 1/64 of the coin will remain, while after 28 days 1/268435456 will remain. Now, it will never completely disappear, since it can always be reduced to a larger number.

Step-by-step explanation:

Since after a while, Jada picks up a coin that seems different than the others, and she notices that the next day, only half of the coin is left, while on the second day, only 1/4 of the coin is left and, on the third day, 1/8 of the coin remains, to determine what fraction of the coin remains after 6 days, what fraction of the coin remains after 28 days and determine if the coin will disappear completely, the following calculation must be performed:

1/2 ^ 6 = X

0.015625 = X

1/64 = X

1/2 ^ 28 = X

0.0000000037252902984619140625 = X

1/268435456 = X

Thus, after 6 days 1/64 of the coin will remain, while after 28 days 1/268435456 will remain. Now, it will never completely disappear, since it can always be reduced to a larger number.


Related Questions

The equation y=x^2-12x+45 models the number of books y sold in a bookstore x days after an award-winning author appeared at an autograph-signing reception.

How many books were sold at the autograph session?

What is the minimum nunber of books sold?

What day did that occur?

How many books were sold on day fifteen?​

Answers

Answer:

3.2

Step-by-step explanation:

Answer:

Answer: The first day the author reaches 100 days is on day 16.

To solve this problem, you could use a graphing calculator to graph the given equation. Then, determine when this line crosses 100. It crosses when x = 15.539. Therefore, we would have to round up to 16 so it is at least 100.

You could use the quadratic equation to solve: 100 = x^2 -12x + 45

Either you will get 16. If you use the quadratic formula, make sure to only use the positive answer.

The table shows how much Li earns for moving different numbers of lawns. Write an algebraic expression that describes the total earnings for n lawns.

Answers

Answer:

15n

Step-by-step explanation:

Given

The above table

Required

The formula of the table

First, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{n_2 - n_1}[/tex]

Where:

n = Number of Lawns

y = Earnings

[tex](n_1,y_1) = (2,30)[/tex]

[tex](n_2,y_2) = (5,75)[/tex]

So, we have:

[tex]m = \frac{75 - 30}{5 - 2}[/tex]

[tex]m = \frac{45}{3}[/tex]

[tex]m = 15[/tex]

The equation is then calculated as:

[tex]y = m(n- n_1) + y_1[/tex]

This gives:

[tex]y = 15(n- 2) + 30[/tex]

[tex]y = 15n- 30 + 30[/tex]

[tex]y = 15n[/tex]

Hence:

B is correct

Help please I’m confused

Answers

Answer:

x=4 and y = 3 ...answer : 1

Step-by-step explanation:

hello :

x/8 =5/10 means : x=40/10 so: x=4

y/6 =5/10 means : y=30/10 so: y=3

Please thebecks please

Answers

Answer:

1.8

Step-by-step explanation:

If we know Xin ordered 5 identical pieces of bread, this must mean that each one weighs the same

By dividing the 9 pounds with 5 (the amount of bread) we will get 1.8

So each bread is 1.8

but if u want to check the answer then we can multiply 1.8 with the 5 loaves of bread and it will result in 9

Can anyone help me with my homework

Answers

The first coordinate is located when you move left 1 and up 4. This is because the first coordinate moves according to x-axis and the second coordinate to the y-axis. Think as if (-1,4) is (x, y) the -1 is the x and 4 the y. We're to always start the center or origin which is zero. Repeat the same steps for the rest of the coordinates.

Step-by-step explanation:

every coordinate you are going to make a point for example the first which is (-1,4) the first number goes through the x-axis left to right if the number is negative it goes to the left so the -1 on the horizontal line, then the 4 is y-axis vertical line up and down, so take that point on -1 then go up 4

Salaries for various positions can vary significantly, depending on whether or not thecompany is in the public or private sector. The U.S. Department of Labor posted the2007 mean salary for human resource managers employed by the federal governmentas $76,503. Assume the annual salaries for this type of job are normally distributedand have a standard deviation of $8850.a)What is the probability that a randomly selectedhuman resource manager received over $100,000in 2007?

Answers

Answer:

0.0039 = 0.39% probability that a randomly selectedhuman resource manager received over $100,000 in 2007.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 76503, standard deviation of 8850.

This means that [tex]\mu = 76503, \sigma = 8850[/tex]

a)What is the probability that a randomly selected human resource manager received over $100,000 in 2007?

This is 1 subtracted by the pvalue of Z when X = 100000. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{100000 - 76503}{8850}[/tex]

[tex]Z = 2.66[/tex]

[tex]Z = 2.66[/tex] has a pvalue of 0.9961

1 - 0.9961 = 0.0039

0.0039 = 0.39% probability that a randomly selectedhuman resource manager received over $100,000 in 2007.

5.
Convert each of the following fractions to a decimal using long division.
13
32
A.
B.
0
8

Answers

wait i don’t understand how they are fractions. lmk

X = {0, 10, 100, 1000}

Y = {100, 1000}

Answers

Answer:

What is The question?

Step-by-step explanation

I will help

Estimate the product 28 2/3 x 4/5

Answers

Answer:

23.2, exact is 22.9333334

Step-by-step explanation:

28 2/3 is around 28.5 ,4/5 is .75

28.5 * .75 = 21.375

For the ordered pair, give three other ordered pairs with θ between −360° and 360° that name the same point. (2, -45°)

Answers

(3, -300°)
(-3,-120°)
(-3,240°)
i think this is correct

Lamont has 30 book pack in boxes. Each box holds 7 books. If he fills each box,how many books are left over?

Answers

Answer:

2 are left over

since 7 goes into 30 4 times which makes 28 books. Meaning 2 are going to be left over

32) If somebody has a monthly income of $2,543, what should their monthly auto expense be?

Answers

Answer:

$211.916

Step-by-step explanation:

HELP WILL GIVE BRAINLEIST AND LOVE YOU FOREVER

Answers

i think #3 is 20 and #4 is a trapezoid. im so sorry if that’s wrong. if it is lmk and ill try again.

Please help I really need help !!

Answers

Answer:

I think it is D.

Step-by-step explanation:

I multiplied 11x9x9=891

here's the question ​

Answers

The answer is 2 because to find the area you multiple the base and hight then divide it by 2
The answer is 2 , hope this helps

In the following diagram, a quarter circle has been constructed using an isosceles right triangle whose legs measure 8 inches. Which of the following represents the area of the shaded region, rounded to the nearest tenth of a square inch?

Answers

Answer:

Area of Shaded Area = 18.3

Step-by-step explanation:

P.S - The exact question is -

Given - In the following diagram, a quarter circle has been constructed using an isosceles right triangle whose legs measure 8 inches.

To find - Which of the following represents the area of the shaded region, rounded to the nearest tenth of a square inch?

Proof -

We know that,

Area of a quarter circle = [tex]\frac{1}{4} \pi r^{2}[/tex]

Also,

We know that ,

Area of isosceles Triangle = [tex]\frac{1}{2}*Base*Height[/tex]

Now,

Given that,

Radius of quarter circle = 8 inches

Base of Isosceles Triangle = 8 inches

Height of Isosceles Triangle = 8 inches

∴ we get

Area of a quarter circle = [tex]\frac{1}{4} \pi (8)^{2}[/tex] = 16[tex]\pi[/tex]

Area of isosceles Triangle = [tex]\frac{1}{2}*8*8[/tex] = 32

Now,

Area of Shaded area = Area of a quarter circle - Area of isosceles Triangle

                                 = 16[tex]\pi[/tex] - 32

                                 = 50.265 - 32

                                 = 18.265 ≈ 18.3

⇒Area of Shaded Area = 18.3

WILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!!

Answers

Answer:

where's the question???

Step-by-step explanation:

Step-by-step explanation:

Volume of cylinder=πr²h

what is the mode for the following numbers 67 76 67 76 67 23 32 23 32​

Answers

67 is the mode because it appears the most.

Answer:

67.

Step-by-step explanation:

67 appeared three times while everything else appeared only twice.

line q has a slope of 5/6 line r is a perpendicular to q what is the slope of line r

Answers

Answer:

y=13

Step-by-step explanation:

ndnjekskssj unlock ignition

Answer:

-6/5

Step-by-step explanation:

In order to find the slope of a line perpendicular to another, you have to take the negative reciprocal.

This basically means that you multiply the slope by -1 and flip it, switch the numerator and denominator, find the reciprocal, whatever you want to call it. (but reciprocal is the proper term for it)

In this case, after multiplying it by -1, it would be -5/6, and taking the reciprocal would make it -6/5.

A number d is greater than −5.

Answers

Answer: d > -5

Step-by-step explanation: Just convert the greater than into a symbol, and you'll be good to go.

Hope this helps!

For each equality decide whether the solution is represented by X less than 2 .5 or X greater than 2.5 -4x+5>-5 -25>-5(x+2.5)

Answers

Answer:

[tex]x<2.5[/tex] and [tex]x > 2.5[/tex] are the solutions

Step-by-step explanation:

Given

[tex]-4x + 5 > -5[/tex]

[tex]-25 > -5(x + 2.5)[/tex]

Required

Determine if their solution is x < 2.5 or x > 2.5

[tex]-4x + 5 > -5[/tex]

Collect like terms

[tex]-4x>-5-5[/tex]

[tex]-4x>-10[/tex]

Divide by -4

[tex]x<\frac{-10}{-4}[/tex]

[tex]x<2.5[/tex]

[tex]-25 > -5(x + 2.5)[/tex]

Open bracket

[tex]-25 > -5x - 12.5[/tex]

Collect like terms

[tex]5x > 25- 12.5[/tex]

[tex]5x > 12.5[/tex]

Divide by 5

[tex]x > \frac{12.5}{5}[/tex]

[tex]x > 2.5[/tex]

Trigonometry

HELP ASAP !

Answers

Answer:

8.9

Step-by-step explanation:

X= Tan( 52 ) · 7

X= 8.959591425

Round to the nearest 10th or 100th

Choices ( below )

X= 8.9596

X= 8.9510

X= 8.96

X= 8.10

X= 9

I Hope this helped

Have a good day

WILL MARK BRAINLYIST

Answers

You are already correct.

A family spends 1/10 of it's annual income for housing 1/4 for food and clothing 1/5 for general expenses and 2/15 for entertainment what fractional part of their income is spent on these items altogether.

Answers

Answer:

The family spends 41/60 of its income on these items altogether.

Step-by-step explanation:

Given that a family spends 1/10 of it's annual income for housing, 1/4 for food and clothing, 1/5 for general expenses and 2/15 for entertainment, to determine what fractional part of their income is spent on these items altogether the following calculation must be performed:

10, 4, 5, and 15 have a common least multiple at 60.

1/10 = 6/60

1/4 = 15/60

1/5 = 12/60

2/15 = 8/60

6 + 15 + 12 + 8 = 41

Therefore, the family spends 41/60 of its income on these items altogether.

2p – 194.99 = 284.97

Answers

If solving for p, it is 239.98 bc when 284.97+194.99, 2p=479.96

A water storage tank is cone shaped. The radius of the tank is 20 feet and the height of the tank is 35 feet.

Study the figure below...
20 feet...
35 feet...

Which measurement represents the volume of the water storage tank​

Answers

Answer:

50 multiple times an

56009*%56556

Four boys compare the numbers on their football jerseys. Parker has the number 55. Nick has 49. Marshall has 57, and Leon has 59. Whose jersey has a prime number?

Answers

Leon- 59 is a prime number the rest are not

Answer:

Leon's jersey has a prime number

Step-by-step explanation:

A fair number cube, with numbers 1 through 6, was rolled 200 times. The number 5 was rolled 34 times. If the number cube was rolled 300 times, approximately how many times would the number 5 be rolled?

A:9

B:15

C:51

D:134

Answers

Answer:

51

Step-by-step explanation:

34/200=.17

.17×300= 51

HELP THIS IF IS FOR MY NEXT YEAR CLASS LEVEL

Answers

Answer:

there is no question? may u add one plz so i can help?

Step-by-step explanation:

Answer:

huuhhh i dont get it and whers the question¿¿¿

6q + 8 = -9 - 76

a. 12
b. -12
c. 84
d. -84​

Answers

Answer: the answer will be -15.5, but this number is not in the choices given, so I guess you made a mistake while writing the equation

Step-by-step explanation:

6q+8=-9-76

6q+8=-85               Subtract 8 from both sides

6q=-93                   Divide both sides by 6

q=-15.5

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