Use inductive reasoning to predict the next three numbers in the pattern.

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3, 5, 8, 13, 21, 34, ...

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Predict the next three numbers in the pattern.

3, 5, 8, 13, 21, 34,

Answers

Answer 1

Answer:

The next three terms are 55,89 and 144

Step-by-step explanation:

We want to predict the next three numbers in the pattern

3, 5, 8 , 13 , 21 , 34

The difference between two successive terms is written between them.

Thus, we have

3 2 5 3 8 5 13 8 21 13 34

So the rule here is to add the next term to the previous so as to get the next coming term

Thus, we have;

34 + 21 = 55

55 + 34 = 89

89 + 55 = 144


Related Questions

16 less than a number r divided by 8

Answers

Answer:r/8>16

Step-by-step explanation:

r/8-16

It says 16 less, so we have to subtract 16 from r divided by 8.

That would be r/8-16.

at a Halloween fair, you see a huge Ferris wheel. There are ten seats on the wheel, with two people placed on each seat. Every minute, a seat passes by the exit platform. The Ferris wheel opened for 30 minutes at 11 a.m. and doubled its speed after fifteen minutes. How many people rode the wheel during this time?
This is just a fun question I need answered!

Answers

90 people

We are told that;

Total number of seats = 10

Number of people in each seat  = 2 Total duration of the Ferris wheel  = 30 minutes

For the fist 15 minutes of normal speed, since 2 people were placed on each seat, it means that;

Number of people to ride for the first 15 minutes = 15 × 2 = 30 people

Now, the speed has been doubled for the remaining 15 minutes.

This means that 2 seats will pass per minute and thus;

Number of people to ride for 15 minutes at this double speed = 15 × 2(2) = 60

2(2) was used because a seat can take 2 people.

Thus, total number to ride the wheel overall = 30 + 60 = 90 people

Read more at; brainly.in/question/1728461

I need help with mixed numbers when subtracting plz

Answers

Answer:

turn it into an improper fraction then subtract

Step-by-step explanation:

5×6=30

30+1=31

31/6

3×6=18

18+5=21

21/6

31/6 - 21/6 = 10/6

simplify: 5/3 ♡

I'm not sure tho lol

2 1/6 - (-8/3) + (-4 7/9) =

Answers

Answer:

1/18

Step-by-step explanation:

First make it so they all have the same denominator.

So...

2 3/18 - (- 48/18) + (- 4 14/18)

Then we remove parenthesis...

2 3/18 +48/18 - 4 4/18

1/18

hope this helps

brainliest?

Express $15 for 6 gallons of gas as a unit rate.

Answers

Answer: 0.4 gallons per dollar

What is the following fraction in simplest form 4/16

Answers

Answer:

1/4

Step-by-step explanation:

it is 1/4  because 4 dived by 16 is 4 so it is 1/4                                                      

I need help asap with my math

Answers

Answer:

The first and the third one are correct.

Step-by-step explanation:

Answer: 1 & 3 are proportional relationships

MATCH THE CORRECT ONE PLEASE HELP

Answers

Answer:

same side interior for 2 and 6 i think

YES WHAT THE OTHER PERSON SAID SORRY CAPS LOCK IS STUCK

Hannah wants to buy a $460 camera. She can save $35 each week from her paycheck. However, before Hannah can buy the camera, she must give her brother $65 that she owes him. For how many weeks will Hannah need to save before she can pay back her and buy the camera?

Answers

Answer:

460+65=525/35=15 15 weeks

Micah found the least common multiple of 8 and 12. His work is shown below.

Multiples of 8: 8, 12, 16, 20, 24, 28, . . .
Multiples of 12: 12, 24, 36, 48, 60, . . .

The least common multiple is 12.

What is Micah’s error?

Answers

Answer:when he was doing the multipleis of 8 he put 20 when there is no 20

Step-by-step explanation:

He forgot the 20 when he was doing the 8


Write the equation of the line that is perpendicular to x=7 and passes through point (-3, 5).

If ukuk

Answers

Answer: y=5

Step-by-step explanation: I just plotted the given point and graphed the line, then drew a perpendicular line that passed through the point.

One​ month, two search engines were used to conduct a total of 3.52 billion online searches. Search engine A was used to conduct 0.66 billion more searches than search engine B. How many searches were conducted on each search​ engine?

FAST PLS

Answers

Answer:

Search Engine A = 2.09 billion searches.

Search Engine B = 1.43 billion searches.

Step-by-step explanation:

Engine A + Engine B = 3.52 billion

Search engine A was used to conduct 0.66 billion more searches than search engine B

A = 0.66 billon + B

Hence:

0.66 billion + B + B = 3.52 billion

2B = 3.52 billion - 0.66 billion

2B = 2.86 billion

B = 2.86 billion/2

B = 1.43 billion searches.

A = 0.66 billion + B

A = 0.66 billion + 1.43 billion

A = 2.09 billion searches.

Therefore:

Search Engine A = 2.09 billion searches.

Search Engine B = 1.43 billion

The radius of a semicircle is 2 yards what is the semicircle’s perimeter

Answers

10.28 because you would take your radius times pie and add that to 2tikes your radius

Taminka received a raise in her hourly pay, from $13.50 to $14.99. Find the percent change. Round to the nearest percent.

Answers

Answer:

[tex]\% = 11\%[/tex]

Step-by-step explanation:

Given

[tex]Initial = \$13.50[/tex]

[tex]Final = \$14.99[/tex]

Required

Determine the percentage change

This is calculated as:

[tex]\% = |\frac{Initial - Final}{Initial} * 100\%[/tex]

[tex]\% = |\frac{13.50 - 14.99}{13.50}| * 100\%[/tex]

[tex]\% = |\frac{-1.49}{13.50}| * 100\%[/tex]

[tex]\% = \frac{1.49}{13.50} * 100\%[/tex]

[tex]\% = \frac{1.49* 100\%}{13.50}[/tex]

[tex]\% = \frac{149\%}{13.50}[/tex]

[tex]\% = 11.037037037\%[/tex]

[tex]\% = 11\%[/tex]

For a certain product we obtained a regression line equation Y = 10 - 0.8 X, where X is price (in $) and Y is sales (in $1,000). The slope of the line (- 0.8) represents:___---.
A. If the price were $10, expected sales would be $8,000.B. If the price were zero, expected sales would $800.C. If the price increases by $1, sales will decrease by $800, on average.D. Sales are maximized when the price is $0.8.
E. None of the other answers are correct.

Answers

Answer:

C. If the price increases by $1, sales will decrease by $800, on average

Step-by-step explanation:

Slope of regression equation represents the increase/decrease in dependent variable Y due to unit change in independent variable X. Here, independent variable is X is price and dependent variable Y is sales. The slope negative sign represent decrease in dependent variable due to unit increase in independent variable. Sales is given in ($1000) So, (0.8*1000)=800. It means that due to unit dollar increase in price the sales will decrease by $800. Thus, If the price increases by $1, sales will decrease by $800, on average is the correct interpretation.

What is the next three terms for 7, 21, 63

Answers

Answer:

189, 567, 1701

Step-by-step explanation:

multiply each term by 3.

List and give the meaning of the y-intercept in this problem

Answers

Answer:

The y-intercept is 360 and it means that the hiking elevation will be 360 feet after 18 minutes

In ΔCDE, \text{m}\angle C = (x-4)^{\circ}m∠C=(x−4) ∘ , \text{m}\angle D = (11x-11)^{\circ}m∠D=(11x−11) ∘ , and \text{m}\angle E = (x+13)^{\circ}m∠E=(x+13) ∘ . Find \text{m}\angle C.m∠C.

Answers

Answer:

The measure of C is 10°

Step-by-step explanation:

In a triangle CDE, its internal angles are given:

C=x-4

D=11x-11

E=x+13

Since the sum of the internal angles of a triangle is 180°:

x-4+11x-11+x+13=180

Simplifying:

13x-2=180

Adding 2:

13x=182

Solving:

x=182/13

x=14°

The measure of the angles is:

C=x-4 =10°

D=11x-11=143°

E=x+13=27°

The measure of C is 10°

Pls help me plssss. Bella measured the heights of her corn stalks in centimeters. The heights are 81, 88, 69,65, 87.
What is the mean height of Bella's corn stalks? ——————————
O A 69 cm
O B. 75 cm
O C. 78 cm
OD 80 cm
O E 81 cm

Answers

Answer:

the answer is C. 78

Step-by-step explanation:

First, you have to add together 81, 88, 69, 65, and 87; its total is 390. The next step is to see how many numbers there are. In total there are 5 numbers. Lastly, you have to divide 390 by 5 which is 78.

PLEASE HELP I AM STUCK


12,049=-58,642+y

Answers

Answer:

70,691

Step-by-step explanation:

Customers at the Palace Pro Shop receive a 10% discount if they are members. All customers must pay 7% in sales tax. The function f(x)=0.9x is used to determine the price of an item after the 10% member discount, where x is the regular price of the item. The function g(x)=1.07x is used to determine the total amount customers pay for a purchase after all discounts are applied. Which function can be used to determine T(x), the total amount a member pays for an item with a regular price of x dollars?

Answers

Answer:

The total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963x.

Step-by-step explanation:

Key points:

Discount is subtracted from the regular price of an item.Sales tax is added to the regular price of an item.

It is provided that the customers receive a 10% discount if they are members and all customers must pay 7% in sales tax.

Two functions are provided are:

f (x) = 0.90x ; the price of an item after the 10% member discount

g (x) = 1.07x ; the total amount customers pay for a purchase after sales tax is applied.

Compute the total amount a member pays for an item with a regular price of x dollars as follows:

T (x) = Discount × Sales Tax

       = 0.90 × 1.07 × x

       = 0.963x.

Thus, the total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963x.

Which rational number equals 0 point 4 with bar over 4?

Answers

Answer:   4/9

==============================================

Work Shown:

[tex]x = 0.\overline{4}\\\\x = 0.4444\ldots\\\\10x = 4.4444\ldots\\\\10x-x = 4.4444\ldots-0.4444\ldots\\\\9x = 4\\\\x = \frac{4}{9}\\\\\frac{4}{9} = 0.\overline{4}= 0.4444\ldots\\\\[/tex]

The idea is that when we subtract 10x and x, the infinite decimal pattern (the 4s that go on forever) will cancel. That leads to 9x = 4 which solves to x = 4/9

You are given $893 in one, five, and ten dollar bills. There are 165 bills. There are twice as many five dollar bills as there are ones and tens combined. How many bills of each type are there?

Answers

Given:

You are given $893 in one, five, and ten dollar bills.

There are 165 bills.

There are twice as many five dollar bills as there are ones and tens combined.

To find:

How many bills of each type are there?

Solution:

Consider the number of bills of one dollars, five dollars and ten dollars are x, y and z respectively.

According to the question,

Number of bills : [tex]x+y+z=165[/tex]         ...(1)

Total amount : [tex]1x+5y+10z=893[/tex]         ...(2)

Condition : [tex]y=2(x+z)[/tex]     ...(3)

Equation (3) can be written as

[tex]\dfrac{y}{2}=x+z[/tex]       ...(4)

Substituting [tex]x+z=\dfrac{y}{2}[/tex] in (1), we get

[tex]\dfrac{y}{2}+y=165[/tex]

[tex]\dfrac{3y}{2}=165[/tex]

[tex]3y=330[/tex]

[tex]y=110[/tex]

Substituting y=110 in (4), we get

[tex]x+z=\dfrac{165}{2}[/tex]

[tex]x+z=55[/tex]

[tex]x=55-z[/tex]       ...(5)

Substituting y=110 and x=55-z in (2), we get

[tex](55-z)+5(110)+10z=893[/tex]

[tex]55-z+550+10z=893[/tex]

[tex]9z+605=893[/tex]

[tex]9z=893-605[/tex]

[tex]9z=288[/tex]

Dividing both sides by 9, we get

[tex]z=32[/tex]

Substituting z=32 in (5), we get

[tex]x=55-32[/tex]

[tex]x=23[/tex]

Therefore,

One dollar bills = 23

Five dollars bills= 110

Ten dollars bills = 32

Gwendolyn was physically present in the United States for 96 days in 2019, 198 days in 2018, and 66 days in 2017. Under the substantial presence test formula, how many days is Gwendolyn deemed physically present in the United States in 2019 g

Answers

Answer:

173 days

Step-by-step explanation:

The formula for substantial presence test is;

SBT = (Total of number of days present in the current tax year) + (1/3)(number of days in the year that was before the tax year) + (1/6)(number of days in the year that was two years before the tax year)

From the question, present tax year is 2019 and number of days is 96 days.

Year before tax year is 2018 and number of days is 198 days

2 years before tax year is 2017 and number of days is 66 days.

Thus;

SBT = 96 + ((1/3)198) + ((1/6)66)

SBT = 173 days

Is the equation 6x-15y=-12 in standard form? Why or why not

Answers

Answer:

2x-5y=-4

Step-by-step explanation:

No, the GCF is 3 not 1

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 444.0 gram setting. It is believed that the machine is underfilling the bags. A 40 bag sample had a mean of 443.0 grams. A level of significance of 0.02 will be used.

Required:
State the hypotheses. Assume the standard deviation is known to be 23.0.

Answers

Answer:

Null hypothesis:

[tex]\mathbf{H_o: \mu = 444}[/tex]

Alternative hypothesis:

[tex]\mathbf{H_1: \mu < 444}[/tex]

Step-by-step explanation:

From the given information:

the population mean = 444

the sample mean = 443

number of samples = 40

standard deviation = 23

The null hypotheses and he alternative hypotheses can be computed as:

Null hypothesis:

[tex]\mathbf{H_o: \mu = 444}[/tex]

Alternative hypothesis:

[tex]\mathbf{H_1: \mu < 444}[/tex]

Thus, this is left-tailed since the alternative hypothesis is less than the population mean

The test statistics can be computed as follows:

[tex]Z = \dfrac{\overline x - \mu }{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]Z = \dfrac{443 - 444 }{\dfrac{23}{\sqrt{40}}}[/tex]

Z = - 0.275

At the level of significance of 0.02;

the critical value of [tex]Z_{\alpha/2} = Z_{0.02/2}=-2.05[/tex]

Decision rule: To reject the null hypothesis if the value of the Z score is lesser than the critical value.

Conclusion:

We fail to reject the null hypothesis and we conclude that sufficient evidence to support the claim that the machine bags were underfilled.

The probability of getting a white marble from the bag is 1/6. If there are eight white marbles in the bag, what is the total number of marbles in the bag?
A. 36
B. 24
C. 48
D. 14

Answers

Answer:

C: 48

Step-by-step explanation:

1/6 chance so multiply by 6, 8 marbles so multiply by 8, 8(6)=48

Answer:

48 marbles, it's C

Step-by-step explanation:

why?

Because 1/6 of the marbles are white. and there are 8 white marbles. so that means, 1/6=8 marbles.

So you just get 1/6 to 6/6

so you do, 8*6 which equals to 48

A single​ 6-sided die is rolled twice. Find the probability of getting a 3 the first time and a 3 the second time. Express the probability as a simplified fraction.

Answers

Answer:

1/36

Step-by-step explanation:

The event is mutually exclusive event. The occurrence of one foew not affect the other.

If a die is rolled once, the total outcome will be 6 since a die has 6 faces.

Probability = expected outcome/total outcome

If 3 is gotten when a die is rolled, the expected outcome will be 1.

Probability of getting a 3 will be 1/6

The probability of getting a3 the second time is also 1/6

The probability of getting a 3 the first time and a 3 the second time = 1/6×1/6 = 1/36

Model a desert community where 48% of the area is covered with houses. Place houses on of the 100 squares to represent or 48% houses.

Answers

Answer:

100

Step-by-step explanation:

Answer:

Place houses on

48

of the 100 squares to

represent

48/100

or 48% houses.

Why do we study?give me reason

Answers

Answer:

Simple to help us improve our lives

Answer:

To do good in school

Step-by-step explanation:

the thing is teachers want us to study so we remember whatever is on the test for an example and that is good but not alt of people always study.

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