Ivan and Adeline are in a classroom with a chalkboard. They are standing on different halves of the board, and on each half, the number is written. When Ivan's teacher gives a signal, Ivan multiplies the number on his side of the board by and writes the answer on the board, erasing the number he started with. Adeline does the same on each signal, except that she multiplies by . The teacher gives 10 signals in total. How many times (including the initial number) do Ivan and Adeline have the same number written on the board

Answers

Answer 1

Answer:

6 times

Step-by-step explanation:

Given

[tex]Start=2[/tex]

[tex]Ivan=-2[/tex] ---- i.e. multiplies by -2

[tex]Adeline = 2[/tex] --- i.e. multiplies by 2

[tex]n=10[/tex] --- signals

Required

Number of times they have the same number

First, we list out all results of Ivan calculations.

To calculate Ivan's list, we simply multiply the current term by -2.

The 10 signals together with the first term, means there will be 11 terms in total

So, we have:

[tex]Ivan = \{2,-4,8,-16,32,-64,128,-256,512,-1024,2048\}[/tex]

Next, list Adeline's

[tex]Adeline = \{2,4,8,16,32,64,128,256,512,1024,2048\}[/tex]

Compare the elements of the two lists, we have:

[tex]Common= \{2,8,32,128,512,2048\}[/tex]

Hence, they have the same number 6 times.


Related Questions

Find mZB.
Round to the nearest degree.
11
B В
7.
15

Answers

Answer:

m∠B = 111º

Step-by-step explanation:

use law of cosines

c² = a² + b² - 2ab*cosC

---------------------------------

15² = 7² + 11² - 2(7)(11)cosB

225 = 49 + 121 - 154cosB

225 = 170 - 154cosB

Subtract 170 form both sides

55 = -154cosB

Divide both sides by -154

-0.3571428571 = cosB

m∠B = arccos -0.3571428571

use calculator

m∠B = 110.924832425009406

Rounded

m∠B = 111º

order from least to greatest : 15%,0.015,1/5

Answers

Answer:

the order from least to greastest is 0.015,15%,1/5

Step-by-step explanation:

If helps mark as Brainllest!!!

What’s the
mean
Median
Mode
To this question up there

Answers

Answer:

mean: 4.5 (1dp)

median: 4

mode: 6

Step-by-step explanation:

mean:

0 + 1 + 1 + 2 + 2 + 2 + 2 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 6 + 6 + 6 + 6 + 6 + 7 + 8 + 8 + 9 + 10 = 113

113 divided by 25 = 4.52, or just 4.5 (rounded to one decimal place

median:

(middle) = 4

mode:

(most occurring) = 6

Hi teh pede ba aq paturo sa math

what is lighter than a feather but the strongest man can't hold for 5 minutes​

Answers

Answer:

obviously our breathe is lighter than a feather but the strongest man can't hold for 5 minutes.

Answer:

breathe

Step-by-step explanation:

breathe. air is light but even the strongest man can't hold for 5 minutes

Acircle with radius of 2 cm sits inside a llcm x 12 cm
rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.

Answers

Meowing meow meow explain: meow meow

Answer:

119.4

Step-by-step explanation:

The Area of the Rectangle : 132 cm

Area of the Circle : 12.6 cm

Shade=  MINUS - 132 cm  - 12.5 cm = 119.4!

Happy To Help! :)

Find the value of x.

Answers

x= 13.3

ajfalbfljhbfljahbfljhwbfr

D. X=13.3

well i hope this helped!!

i need help with geometry

Answers

Answer:

[tex] \frac{AQ + 15}{AQ} = \frac{10 + 6}{6 } \\ 6AQ + 90 = 10AQ + 6AQ \\ 10AQ = 90 \\ AQ = 9[/tex]

Answer:

AQ = 9

Step-by-step explanation:

Given a line parallel to the side of a triangle and intersecting the other 2 sides then it divides those sides proportionally , that is

[tex]\frac{6}{10}[/tex] = [tex]\frac{AQ}{15}[/tex] ( cross- multiply )

10 AQ = 90 ( divide both sides by 10 )

AQ = 9

Someone please help!!! I also posted other questions if you want more points!!!

Answers

Answer:

3/2

Step-by-step explanation:

3y + 2x = 12

subtract 2x from both sides

3y = -2x + 12

Divide both sides by

3

y = (-2/3)x + 4

Slope = -2/3

----------------------

Slopes of perpendicular lines are negative reciprocals

The negative reciprocal of -2/3 is

3/2

In an analysis of variance problems,there are 3 treatments and 10 observations per treatment,the sum of squares for the error is 399.6.What is the mean square for the error for this situation

Answers

Answer:

The answer is "14.8".

Step-by-step explanation:

[tex]n = 30\\\\ k = 3\\\\dfE = n-k \\\\[/tex]

       [tex]= 30-3 \\\\= 27[/tex]

[tex]SSE = 399.6 \\\\MSE = \frac{SSE}{dfE}[/tex]

          [tex]= \frac{399.6}{27} \\\\ = 14.8[/tex]

Please help I need help in order to pass math

Answers

Answer:

....bbbbbb.... its correct

Someone pls help me ill give out brainliest pls don’t answer if you don’t know

Answers

Answer:

16.5

is the rational number between them

Step-by-step explanation:

The Taylor family order a 95-inch turkey and cheese sub from the local deli. They also buy 7 gallons of lemonade. About how many feet long is the turkey and the cheese sub?

Answers

Given: Here given that the Taylor family order 95 inches of turkey and cheese sub from the local deli.

To find: Here we need to find how many foot long is the turkey and cheese sub.

Solution: We know, 1 inches=0.0833 foot

So, 95 inches=7.9135 foot approximately.

Therefore, 7.9135 foot approximately long is the turkey and cheese sub.

Which expression is equivalent to (y2 + 3y – 8)+(2y? –y–9)?

A. 3y4 + 4y2 – 17
B. 3y4 +2y2 – 17
C. 3y2 + 4y - 17
D. 3y² +2y-17

Answers

Answer:

The answer is 42 have a great day.

Step-by-step explanation:

Hola necesito la respuesta a esta pregunta: 1) En la definición de potencia, la base: * a) corresponde al número de veces que se repite la base como factor b) corresponde al número que se multiplica por si mismo c) Corresponde a un número que se multiplica por otro d) Corresponde a un número que se suma varias veces

Answers

Answer:

B. Corresponde al número que se multiplica por sí mismo.

Step-by-step explanation:

Matemáticamente hablando, la base de una potencia se refiere a un número que se multiplica por si mismo por el número de veces definido por el exponente. En consecuencia, la respuesta es B.

Someone please help me with this question

Answers

Step-by-step explanation:

f(x) =x²+2

f(5)=5²+2

f(5)= 25+2

f(5)= 27

PLEASE HELP!! This is timed, but I don't recall ever learning this info T-T
I'll mark brainliest!!

Answers

Answer:

c

Step-by-step explanation:

i hope it helped ᘳ◕ᴥ◕ᘰ

WORTH 25 POINTS!!!!
match the following

Answers

Answer:

Step-by-step explanation:

Domain of a function is defined by the set of x-values (input values) and Range is the set of y-values (output values) of the function.

1). The range and domain of P = {(x, y)| y = 3}

Domain: Set of all real numbers

Range: {y: y=3}

2). The domain set of C = {(2, 5), (2, 6), (2, 7)}

 Domain: {2}

3). The range set of E = {(3, 3), (4, 4), (5, 5), (6, 6)}

  Range: {3, 4, 5, 6}

4). The range and domain set of F = {(x, y)| x + y = 10}

   Domain = Range = {All real numbers}

1250 people visit a certain website every day. At this rate, how many visitors will the site receive in a week?

Answers

Answer:

8750 people

Step-by-step explanation:

1250 * 7   (7 days in a week)

8750 people

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

DISCLAIMER: THERE ARE MANY QUESTIONS LIKE THIS ONE, SO MAKE SURE THAT YOU ARE ANSWERING THIS SPECIFIC QUESTION.

Which of the followinmg estimates at a 95% confidence level most likely comes from a small sample?
A. 71% (±18%)
B. 60% (±4%)
C. 62% (±6%)
D.65% (±2%)

Answers

Answer:

A. 71% (±18%)

Step-by-step explanation:

Based on the confidence interval relation :

Mean ± Margin of error

The mean could be any given value :

However, the margin of error at a given confis nce level will will affected by the sample size, larger sample sizes will result in smaller margin of error values as the it will result in a large value denominator hence giving a small margin if error value when divided.

Margin of Error = Zcritical * σ/√n

Since.weve been told that the sample size is small, this will result in a large error margin value, from the options given, the value with the largest error margin value will be produced by the smallest samole size. Hence the option with the largest error margin value is ; ±18%

What is the exact value of tan(pi/4)?

Answers

1

The exact value of tan(π4) tan ( π 4 ) is 1 .

ILL BRAINLIEST YOU IF YOU HELP ME PLEASE

Answers

option C is correct

b and c are parallel lines because they both are making equal angles at the point of intersection with line d

Answer:

the answer is c. because

95 plus 85 is equal to 180 mean its straight line

Step-by-step explanation:

HELP PLEASE, AND FAST THANKS

Answers

Answer: U'(1,7)      G'(7,1)


139°
x° find the value of x.


Answers

Answer:

x = 139

Step-by-step explanation:

The angles are alternate exterior angles , and when the lines are parallel, alternate exterior angles are equal

x = 139

If the zeros of a quadratic function are 3 and 8, what are the factors of the function?

A.
(x + 8) and (x − 3)
B.
(x − 8) and (x + 3)
C.
(x + 8) and (x + 3)
D.
(x − 8) and (x − 3)

Answers

It’s D. You basically plug it in to x and whatever equals 0 is the correct answer

Answer:

D

Step-by-step explanation:

one way to write a quadratic equation is using the y = (x-s) (x-r) where r and s are positive zeros. another way to solve this and think about it would be to plug in your points and equate both sides. 

example:(3,0) (8,0)0 = (3-8) (3-3)0 = 00 = (8-8) (8-3)0=0

Which is equivalent to 80 1/4x

Answers

Answer:

20x

Step-by-step explanation:

[tex]\frac{80}{4}=\frac{20}{1}=20[/tex]

The answer is 20 i think

Find the area of the given trapezoid:
A = ...... square units

Answers

Answer:

A = 48 square units

Step-by-step explanation:

The dimensions between two markings on the coordinate plane = 2 unit

The trapezoid is located sideways

The area of a trapezoid, A = ((a + b)/2) × h

Where;

a = The long base side

b = The short base side

h = The height

The long base side length AT = 4 space between markings = 4 × 2 units = 8 units

The short base side length SR = 2 space between markings = 2 × 2 units = 4 units

The height, h = 4 space between markings = 4 × 2 units = 8 units

The area of the trapezoid, A = ((4 unit + 8 unit)/2) × 8 unit = 48 square units.

I will give Brainly

What is 3x^2 - 5x^3 (5 + 7)?

Answers

Answer:

-60x^3+3x^2

Step-by-step explanation:

I need a brainly please

3eeeeeeeeeeeeeeeeeeeeeeeeeeeereeeee

Answers

Answer:

>

Step-by-step explanation:

8/3=8.6666666667 which is greater than 2.666

True or False: in a table of a proportional relationship, the ratio or y/x is constant.

Answers

Answer:

true

Step-by-step explanation:

It is True that in a table of a proportional relationship, the ratio or y/x is constant.

What is a proportional relationship?

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

It is given that, y∝x

In order to eradicate the proportional sign introduces the constant as,

y=kx

k=y/x

k is the constant value.

Thus, it is True that in a table of a proportional relationship, the ratio or y/x is constant.

Learn more about the proportional here:

brainly.com/question/14263719

#SPJ2

pleaseeee helpppp meee!!

Answers

Answer:

15 players on each team

Step-by-step explanation:

- 2 players from EACH team is subtracted= 2(players)x6(teams) = 12 players in total off the field

- now there are only 78 players on the field

(78+12)/6= 15

-Adding the amount of players on the feild and the players that were sent for equitment is 90. Then dividing 90 by the amount of teams there are, 6

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