On the day a video was posted online, 5 people watched the video. The next month the number of viewers had doubled. Assume the number of viewers continues to double each day.

1) How many viewers will be there in one year? Use commas. Show your reasoning.
2) Estimate on which day will 640 people see the video? Show your reasoning.

Answers

Answer 1

Answer:

Step-by-step explanation:

Given

When video is posted 5 people watched it

Next day number of viewers doubled

Suppose this trend continues i.e. No of viewers doubled each day

So on 2 nd day no of viewers is [tex]2\times 5[/tex]

On 3rd day , viewers [tex]2^2\times 5[/tex]

on n th day , viewers is [tex]2^{n-1}\times 5[/tex]

So no of viewers in 1 year i.e. on 365 day

[tex]=2^{365-1}\times 5[/tex]

[tex]=2^{364}\times 5[/tex]

(ii)Day on which 640 people seen the video

[tex]2^{n-1}\times 5=640[/tex]

[tex]2^{n-1}=128[/tex]

[tex]2^{n-1}=2^7[/tex]

Therefore

[tex]n-1=7[/tex]

[tex]n=8\ days[/tex]


Related Questions

-189=4x-3(-4x+15) help me i need help badly

Answers

Answer:

Step-by-step explanation:

−189=4x−3(−4x+15)

−189=16x−45

16x−45=−189

16x−45+45=−189+45

16x=−144

16x /16

= −144 /16

x=−9

Good luck honey !!

Answer:

x=-9

Step-by-step explanation:

-3×-4= 12x -3×15=-45

4x+12x-45=-189

4x+12x=16x

16x-45=-189

16x=-144

x=-9

What is the first step to solving the quadratic equation x2=9over 16

Answers

Answer:

divide both sides by 2

Step-by-step explanation:

divide both sides by 2 then simplify and get x = 9 over 32

Answer:

Transposing square to rhs,it becomes root

Step-by-step explanation:

[tex]x^{2} =9/16[/tex]

[tex]x=[/tex][tex]\sqrt{9}/\sqrt{16\\[/tex] (transposing square to rhs,it becomes root)

[tex]x= 3/4[/tex]

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What is the solution to the system of equations?
y = *x+3
X = -2
• (-2. -
15
• (-2, 4)
• 6-2.1

Answers

Answer:

(-2,1)

Step-by-step explanation:

The two equations cross at (-2,1). Hope this helps.

A shelf at a grocery store contains 500 packages of corn and flour tortillas. If 22% of the packages are flour tortillas how many packages are corn tortillas

Answers

This one is an easy one

500x22%

A new car is purchased for 24000 dollars. The value of the car depreciates at 15% per year. To the nearest tenth of a year, how long will it be until the value of the car is 10000 dollars

Answers

The value of the car will be $10000 after 2.5 years

The cost price of the car = $24000

Rate of depreciation, r = 15%

r  =  15/100

r  =  0.15

The final value of the car after depreciation, A = $10000

To get the time for depreciation, use the formula below and solve for t

[tex]A=P(1-r)^t[/tex]

Substitute P = 24000, A = 10000, and r = 0.15 into the equation above

[tex]10000=15000(1-0.15)^t\\\\\frac{10000}{15000} = 0.85^t\\\\0.85^t=0.67\\\\t (ln0.85)=ln0.67\\\\-0.163t=-0.4\\\\t=\frac{-0.4}{-0.163} \\\\t=2.5[/tex]

The value of the car will be $10000 after 2.5 years

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Find the area of a circle with a radius of 5 feet. Please help

Answers

Answer:

see below

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi (5)^2

A = 25 pi

Using 3.14 for pi

A = 78.5 ft^2

Using the pi button

A =78.53981634 ft^2

what place value is the 8 in in the number 475.082

Answers

The answer is 8 hundredths

The place value is the 8 in in the number given is 8 hundredths.

What is place value?

The place value is the position of each digit in a number. The place value of digits is determined as ones, tens, hundreds, thousands,ten-thousands and so on, based on their position in the number.

The place value =

Ones, tens, hundreds, thousands, ten-thounsands.

Place value names to the right of the decimal work in a similar way, only given that they are given fractional names because, well, they're fractions of one:

tenths: 0.1 = 1/10

hundreths: 0.01 = 1/100

thousandths: 0.001 = 1/1000

ten-thousandths: 0.0001 = 1/10000

and so on.

As the 8 is in the second unit value over, that means it's in the hundredths place. That means that its value is eight hundredths.

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2. Sumara Kato's savings account has a balance of $1663. After 19 years, how much interest
will she have eamed if her rate is 5.5% compounded annually?

Answers

Answer:

Step-by-step explanation:

interest = Amount - principal

A = P(1+r)^t

r = 5.5% = 5.5/100 = 0.055

A = 1663(1+ 0.055)^19

A = 1663 (1.055)^19

A = 4,599.270812203411

Let’s say A = 4,599

interest = 4,599-1663 = 2,936

A washer and a dryer cost 1021 combined. The washer costs 71 more than the dryer. What is the cost of the dryer?

Answers

Answer:

475

Step-by-step explanation:

1021-71

950/2

you flip a coin 20 times. you land on heads 13 times. what is the percent error?​

Answers

Answer:

65%

Step-by-step explanation:

You have to do 13 divided by 20 and get 0.65 and then multiply by 100

and get 65

You randomly survey men and women about whether they plan to watch a football game on Sunday afternoon. A total of 40 men plan to watch a football game and a total of 17 women do not plan to watch a football game. A total of 45 women are surveyed. A total of 33 people do not plan to watch a football game. How many people did you survey?

Answers

Answer: 101

Step-by-step explanation:

45 women total

17 women will not watch the game

So 33 people did not want to watch the game and 17 are women

33-17 = 16 men who won’t watch the game

So 40 men who will and 16 men who won’t equals 56 men and 45 women

56+45= 101

Need help Soon as possible

Answers

Answer:

D; D

Step-by-step explanation:

The common difference of the first sequence is 10, so the coefficient is 10. The first term minus the common difference is -8, so that is the constant

The common difference of the second sequence is 3, so the coefficient is 3. The first term minus the common difference is -9, so that is the constant.

When we plot all the points that satisfy an equation or inequality we __ it.

Answers

when we plot all the points that satisfy an equation or inequality we GRAPH it

Which property is this 6y-y + 2y + 10 - 4+2

Answers

Find what’s y then multiple and add

What is 2/3 ÷ 4/5 = ?

Answers

Answer:

5/6

Step-by-step explanation:

2/3 ÷ 4/5 =                ⇒  changing division to multiplication by reciprocal of the second fraction2/3 × 5/4 =                ⇒  simplify and multiply numerators and denominators5/6                           ⇒  here is the answer

-3(x + 4) = (-x - 1)

Answers

Answer:

x=-5.5

Step-by-step explanation:

-3(x+4)=(-x-1)

1. Distribute

-3x+(-12)=-x-1

2. Simplify

-3x-12=-x-1

-2x-12=-1

-2x=11

x=-11/2

x=-5.5

Answer:

-11/2 or 5.5

Step-by-step explanation:

Please help!! A box contains 7 yellow, 5 blue, and 4 red balls. Three balls are drawn at random. What is the probability that exactly two balls are yellow?

Answers

Answer:

7/16 or (if you are looking for a word) likely

Step-by-step explanation:

2.0 mol of AlF3 mol to grams

Answers

We assume you are converting between moles AlF3 and gram. You can view more details on each measurement unit: molecular weight of AlF3 or grams This compound is also known as Aluminium Fluoride. The SI base unit for amount of substance is the mole. 1 mole is equal to 1 moles AlF3, or 83.9767476 grams.

Emter 2/2/8 as an inpropper fraction

Answers

Answer:

The answer is 9/4

Step-by-step explanation:

Beth participated in a free throw contest. She took 10 shots, and she made 6 of them.
Beth wants to know how to describe the number of baskets she made.

Answers

Answer:

Beth made 60% of her shots.

Step-by-step explanation:

Given:

Total shots take = 10

Total goal = 6

Find:

Best describer this number.

Computation:

Converting goal numbers into percentage:

Total goal percentage = [Total goal/Total shots take]100

⇒ Total goal percentage = [6/10]100

Total goal percentage = 60%

Beth made 60% of her shots.

Answer:

6:10 is the ratio

Step-by-step explanation:

as a fraction it would be 6/10

as a decimal it would be 0.60 or 0.6

and she made 60% of her shots

Please help asap! Will give brainliest! Please answer correctly! No guessing. Check all that apply.

Answers

Answer:F

Step-by-step explanation:

Answer:

i honestly think that its A, C, D, F.

Step-by-step explanation:

for the A i think that you need to write down the facts so you dont forget and you remember when someone asks you a question.

For C you should gather your resources so you can do the experiment again if your not satisfied with the first result.

For D you should draw a diagram so you can keep track of your information that you used to get the final solution.

For F, you should always make sure that you didn't mess up and that you can redo it to double check.

7. What is the value of the expression 3(2 - 7)​

Answers

Answer:

-15

Step-by-step explanation:

3(2 - 7)​

PEMDAS says parentheses first

Subtract

3 (-5)

Multiply

-15

The answer is -15 :)

Frank measured 56 cm. The actual length was 61 cm. Which expression shows his percent error?

Answers

Answer: 8.54701% difference

Step-by-step explanation: (61-56)/[(61+56)/2] x 100= 8.55%

what is m if 9/7m= 1/7

Answers

9/7m=1/7
M=1/7*7/9=1/9

Answer: [tex]m=\frac{1}{9}[/tex]

Step-by-step explanation:

[tex]\frac{9}{7}m=\frac{1}{7}[/tex]

Multiply by the reciprocal to isolate m.

[tex](\frac{7}{9} )\frac{9}{7}m=\frac{1}{7}(\frac{7}{9} )[/tex]

[tex]m=\frac{1}{9}[/tex]

Anoop decides to measure the rate at which the temperature changes as the altitude increases.

What would be an appropriate unit for Anoop's purpose?

Answers

Answer:

Metre

Step-by-step explanation:

Answer:

Degree sign C/ km

Hope this helps and if it does remember to give me a like , please and thank you!

If a = 7 and b = 2, find the value of
a) a- b
b) 2a + 3b
c) 2ab
d) (a - b)?

Answers

a) 7-2=5
b) 2(7)+3(2)=14+6=20
c) 2(7)(2)=28
d) (7-2)=5
A) 7-2 = 5
B) 2x7 + 3x2 = 20
C) 2x7x2 = 28
D) (7-2) = 5

Find the percent of all values in a normal distribution for which z ≤ 1.00, to the nearest tenth of percent.

Answers

Answer:

84.1% of all values in a normal distribution have z ≤ 1.00.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question:

The percent of all values in a normal distribution for which z ≤ 1.00.

This is the pvalue of Z = 1.

Z = 1 has a pvalue of 0.8413.

Converting to percentage, to the nearest tenth.

84.1% of all values in a normal distribution have z ≤ 1.00.

What is the value of x?

Answers

Answer: x = 9, y = 5

Step-by-step explanation:

If all of the sides are equal, it is an equilateral triangle. Equilateral triangles are also equiangular. The angles of a triangle add up to 180 degrees, so each angle must equal 60 degrees.

set the equation equal to 60 to solve for x

7x - 3 = 60

add three to both sides

7x = 63

divide both sides by 7

x = 9

find y by setting the equation equal to 60

11y + 5 = 60

subtract 5 from each side

11y = 55

divide both sides by 11

y = 5

If X - 14 = 465, what is the value of X?

Answers

Answer: The value of x is 479

Step-by-step explanation:

x -14 = 465

   +14     +14

x=  479

Answer:

x=479

Step-by-step explanation:

x-14=465 Move constant to the right-hand side and change its sign

x=465+14 add the numbers

x=479

HOPE THIS HELPS :)

If P(A)=35, P(B)=13, and P(A∩B)=18, are A and B independent?

Select the option that provides both the correct answer and the correct reason.

No, because 35(13)≠18.

Yes, because 35(13)=18.

Yes, because 35+13=18.

No, because 35÷13≠18.

No, because 35+13≠18.

Answers

Answer:

P(A) x P(B) = 35 x 13 = 455

P(A∩B) = 18

=> P(A) x P(B) ≠ P(A∩B).

=> A and B are not independent.

=> Option A (No, because 35(13)≠18) is correct.

Hope this helps!

:)

A and B are not independent because 35(13)≠18), the correct option is A

What is the independent probability?

Independent events and probability can be defined as those occurrences that are not dependent on any specific event.

P(A)=35, P(B)=13, and P(A∩B)=18, are A and B independent.

It is to note here that A and B are the odd number outcome and multiples of 3 respectively. So, P (A ∩ B) = 18

P(D│E) = P (D ∩ E)/ P(B)

P(D│E) = 18/13

Here P(D) = P(D│E) = 18/13, which entails that the occurrence of event E will not be affected by the probability of event D’s occurrence.

Taking A and B as independent events, then P(D│E) = P(D).

Here, A and B are not independent because 35(13)≠18), the correct option is A.

Learn more about probability here;

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