3/7 of which is 2 1/14

Answer:

Graph at the bottom right.

Step-by-step explanation:

From the given piecewise function,

1). y = -2  if x ≤ 1

An arrow representing this function will be parallel to x-axis with a dark circle at x = 1.

2). y = 1  if 1 < x ≤ 2

A straight line representing this function will be parallel to x-axis with a dark circle at x = 2 and a hollow circle at x = 1.

3). y = 3  if x > 2

An arrow representing the function will be parallel to the x-axis having one end as a hollow circle at x = 2.

Therefore, Graph at the bottom right will be the answer.

Answer:

[tex]a_{n} = 12 -3(n-1)[/tex]

Step-by-step explanation:

[tex]a_{1} = 12\\a_{n} = a_{n-1} - 3[/tex]

we have to find formula for nth term of series for this problem

[tex]a_{1} = 12\\a_{2} = a_{2-1} - 3 = a_{1} -3 = 12 -3 = 9\\a_{3} = a_{3-1} - 3 = a_{2} -3 = 9 -3 = 6[/tex]

Thus, we see series is 12, 9 ,6

Thus, we can see that series is decreasing by unit of 3.

and we know that when there is in increase or decrease in series by a a constant number then series is arithmetic progression series.

Hence, this is a decreasing AP series

In AP

nth term is given

nth term = a+(n-1)d

where a is the first term

d is the common difference

common difference is given by = nth term - (n-)th term

lets take 2nd and 1st term to get common difference.

d = 9-12 = -3

(note: this was obvious by looking at series itself that d is -3 as series was decreasing by 3 unit)

a = 12

thus, nth term = a +(n-1)d

nth term = 12 +(n-1)(-3)

nth term = 12 -3(n-1)

writing this in form of [tex]a_{n}[/tex]

[tex]a_{n} = 12 -3(n-1)[/tex]  Answer

You have the correct answer.

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

Explanation:

Focus solely on the "in anime club" row. We do this because of the phrasing "given the student is in the anime club". We know for a fact that whoever is randomly picked, they are in the anime club. So we don't have to worry about other data values in the other rows.

Divide the value 0.13 which is in the "takes Japanese" column over 0.14, which is in the "total" column.

Basically we're computing [tex]P(A|B) = \frac{P(A \cap B)}{P(B)}[/tex] where A and B represent the events "takes Japanese" and "in anime club" respectively. The upside down U symbol represents intersection to indicate both events are happening at the same time.

So we end up with 0.13/0.14 = 0.92857142857142 which rounds to 0.93, then that converts to 93% when you move the decimal point over to the right two spots.

Answer:

Step-by-step explanation:

Answer:

  783.7 square units

Step-by-step explanation:

The formula for the surface area of a cylinder is ...

  A = 2πr^2 + 2πrh = 2πr(r +h)

Using the given numbers, the area is ...

  A = 2(3.14)(6)(6 +14.8) = 783.7 . . . square units

Answer:

About 783.7 square cm.

Step-by-step explanation:

The formula for the surface area of a cylinder is (2 * pi *r^2) + (2 * pi * r * h).

(2 * 3.14 * 6^2) + (2 * 3.14 * 6 * 14.8) = (2 * 3.14 * 36) + (2 * 3.14 * 6 * 14.8) = 6.28 * 36 + 6.28 * 88.8 = 226.08 + 557.664 = 783.744.

So, the surface area of the cylinder is about 783.7 square centimetres.

Hope this helps!

Answer:

a = 4,

b = 12

c = 10

d = 15

Step-by-step explanation:

Since the product of each column is equal, therefore,

b*5 = 60

b = 60 ÷ 5 = 12

c*6 = 60

c = 60 ÷ 6 = 10

Since the sum of each column are equal, therefore,

12 + 10 + a = 5 + 6 + d

22 + a = 11 + d

Think of a number you can add to 22, and another number you can add to 11, which will make both sides equal. Add both numbers, whenmultiplied together should give you 60.

Factors of 60 are:

(a, d)

(1, 60) => 22 + a = 11 + d => 22+1 = 11+60 (incorrect)

(2, 30) => 22 + a = 11 + d => 22+2 = 11+30 (incorrect)

(3, 20) => 22 + a = 11 + d => 22+3 = 21+20 (incorrect)

(4, 15) => 22 + a = 11 + d => 22+4 = 11+15 => 26 = 26 [CORRECT]

(5, 12) => 22 + a = 11 + d => 22+5 = 11+12 (incorrect)

(6, 10) => 22 + a = 11 + d => 22+6 = 11+10 (incorrect)

Therefore,

a = 4,

d = 15

Answer:

This is a basic cubic function- thus the domain is all real numbers. You could think about domain as the possible x values for a graph. Since this cubic function extends from x=negative infinity to x=positive infinity, the range is all real numbers, or (-infinite, infinite) if you are told to write in interval notation.

Hope this helps!

The domain of [tex]y= x^{3}[/tex] are all real numbers, or  R due to the fact that [tex]x^{3}[/tex]  is a polynomial, which means its domain is R too.

Solution:

The domain of a particular expression is all real numbers except in the place where expression is undefined. The domain of any graph includes all the x-values that are solutions.

Interval Notation:

(-

Set-Builder Notation:

{x|x ∈R}

Determine the domain from the graph:

Thus, the domain of is:

(−∞,∞), {x|x∈R}

Learn more about the domain of polynomial:

https://brainly.com/question/12324899

Answer:

D

Step-by-step explanation:

11r = 33

r = 3

Answer

D

Step-by-step explanation:

cancel out -9r on the right side by adding it to the left side. so then you get 11r-15=18 . then add 15 to the right to get 11r by itself . you'll get 11r=33 . divide both sides by 11 and you'll get r=3 ! :)

Step-by-step explanation:

M(8.-2), M'(x,y) , [tex]$$\overrightarrow{v}[/tex] =(-5,1)

[tex]$$\overrightarrow{MM'} = $$\overrightarrow{v}[/tex]

--> x - 8 = -5 --> x= 3

---> y+2 = 1 --> y =-1

so M'(3,-1) and its reflection y-axis is (-3,-1)

The correct representation of given transformations is [tex]\bold{M(8,-2)\rightarrow M'(3,-1)\rightarrow M''(-3,-1)}[/tex]

"A translation is a geometric transformation where a geometrical figure is moved from one location to another location without changing its size, shape or orientation."

"A vector is a quantity or phenomenon that has magnitude and direction."

To find the vector from point P(a ,b) and Q(m, n)

[tex]\overrightarrow{PQ}= < m-a,n-b >[/tex]

We have been given that, the translation of M (8,-2) along vector<-5, 1 >

Let (x, y) represents the translated point along <-5, 1>

This means, <-5, 1> = <x-8, y-(-2)>

⇒ x - 8 = -5

⇒ x = -5 + 8

⇒ x = 3

Also, y + 2 = 1

⇒ y = 1 - 2

⇒ y = -1

So, the translated point is (3, -1)

The reflection of (3, -1) along y-axis is (-3, -1) .

Hence the correct representation of transformations is[tex]\bold{M(8,-2)\rightarrow M'(3,-1)\rightarrow M''(-3,-1)}[/tex] that is, option (C)

Learn more about geometric transformation here:

https://brainly.com/question/15222136

#SPJ2

Answer:

-1/10 , 0, and 1/10

Step-by-step explanation:

1/8 > x > -1/7

Where x is a rational number.

-1/10 is rational.

0 is rational.

1/10 is rational.

Answer:

answers is c

Step-by-step explanation:

Answer: the probability of getting a number less than 3 and tails is P 1/6

Step-by-step explanation:

Assuming that the dice and the coin are normal ones, we can expect that the probability for each outcome is about the same.

For the coin we have 2 outcomes, heads and tails, then each outcome has a probability of 1/2

The dice has 6 outcomes, and each outcome has a probability of 1/6.

Then the probability of rolling a number less than 3 is equal to the probability of rolling a 1 plus the probability of rolling a 2.

P1 + P2 = 1/6 + 1/6 = 2/6 = 1/3.

The probability of getting tails with the coin is 1/2.

Now, the joint for both events is equal to the product of the probabilities of each event, this is:

P = (1/3)*(1/2) = 1/6

Answer:

1/6

Step-by-step explanation:

got it right on edge

Answer:

A,D E

Step-by-step explanation:

I took the quiz-ur welcome.

Dont forget to rate and thanks!

Answer:

A,D E

Step-by-step explanation:

Answer:

A- 5 banners

B- 2 banners

C- 2 banners

D- Shade banner 2

Answer:

Thurka got 8 questions right and 4 wrong.

Step-by-step explanation:

Thurka got "x" questions right and "y" questions wrong, therefore the sum of these questions must be equal to the total number of questions in that exam, which would be 12, therefore:

[tex]x + y = 12[/tex]

Since for each right question Thurka got 5 marks and for each wrong one 2 marks, then the total score can be written as:

[tex]5*x - 2*y = 32[/tex]

Solving the system of equations would give us the number of right and wrong questions.

[tex]\left \{ {{x + y=12} \atop {5*x-2*y=32}} \right.[/tex]

[tex]\left \{ {{2*x + 2*y=24} \atop {5*x - 2*y=32}} \right.[/tex]

[tex]7*x = 56\\x = \frac{56}{7} = 8[/tex]

[tex]y = 12 - x = 12 - 8 = 4[/tex]

Thurka got 8 questions right and 4 wrong.

Answer:

11^7/11^6=11^1 or 11

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

5.1 × 108 = 550.8

9.6 × 10^0

10^0 = 1

9.6 × 1 = 9.4

2.44 × 10 = 24.4

5.023 × 1010 = 5073.23

Answer:

power index

Step-by-step explanation:

Prime factor index form is expression of a number as product of its prime number. Here the prime factor is listed only once. It is necessary to insert the required power index to solve for the HCF

Answer:

length x width = area

14 x 11 = 154

154 / 22 = 7 fertilizer needed

Hope this helps

Step-by-step explanation:

Set up a ratio:

12/24 = x/9

Cross multiply:

24x = 108

Divide both sides by 24:

X = 4.5

The answer is 4.5

━━━━━━━☆☆━━━━━━━

▹ Answer

6

▹ Step-by-Step Explanation

Follow PEMDAS:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

3(4 - 2)

3(2)

= 6

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

6 ft

Step-by-step explanation:

We can use ratios to solve

30 ft tall             x ft tall

------------------  = ------------------

10 ft shadow       2 ft shadow

Using cross products

30 * 2 = 10x

60 = 10x

Divide by 10

60/10 = 10x/10

6 =x

Answer:

b

Step-by-step explanation:

The square root is the opposite of squaring

( sqrt(b))^2 =

sqrt(b) * sqrt(b)

b

Answer:

1) (ABCD) (ABC) (ABD) (ACD) (BCD) (AB) (AC) (AD)

2) A= 0.5000; B = 0.1667; C = 0.1667; D = 0.1667

Step-by-step explanation:

The questions are missing and should be

1) List all the winning coalitions in this voting system and the critical players in each.

2) Find the Banzhaf power index of this law firm.

1) Any combination of three partners, four partners, or a combination with two partners containing A is a winning coalition:

(ABCD) (ABC) (ABD) (ACD) (BCD) (AB) (AC) (AD)

2) The Banzhaf power index for each partner is given by the number of outcomes that said partner has a swing vote, divided by the number of possible swing vote situations.

Partners B, C, D will only have swing votes (change the outcome of the voting) when they are all in the same coalition, or when they are alone in a coalition with partner A:

[tex]B_B=2\\B_C=2\\B_D=2[/tex]

As for partner A, they will only be powerless to change the outcome when all of the other partners are in the same coalition (2 out of 8 possible combinations):

[tex]B_A=6\\[/tex]

The Banzhaf power index for each partner is:

[tex]B=\frac{2}{2+2+2+6}=0.1667\\C=\frac{2}{2+2+2+6}=0.1667 \\D=\frac{2}{2+2+2+6}=0.1667 \\A=\frac{6}{2+2+2+6}=0.5000[/tex]

Answer:

The answer is 2/10 :P

Step-by-step explanation:

We have To list all the possibilities first ! : 1 head, 2 head, 3 head, 4 head, 5 head, 1 tail, 2 tails, 3 tails, 4 tails and 5 tails ! ;)

We have in total 10 possibilities !

So if we want to work out the probability that she will get a 2 and a head, the answer has to be 2/10 because we have 10 possibilities !

I hope I helped you ! :P

Answer:

U = x + 3 and V = 7

Step-by-step explanation:

Let U = x + 3 and V = 7, then:

=> (x + 3)^2 + 14(x + 3) + 49

= (x + 3)^2 + 2*7*(x + 3) + 7^2

= U^2 + 2UV + V^2

= (U + V)^2

(correct)

Answer: $25.96

Step-by-step explanation:

Fare = $22

Percent tip = 18%

Hi, to answer this question, first we have to multiply the fare paid by the tip percentage in decimal form (divided by 100 ):

Mathematically speaking:

22x (18/100) = 22 x 0.18 = $3.96 (tip amount)

Finally, we have to add the tip amount and the fare:

22 +3.96 = $25.96

Feel free to ask for more if needed or if you did not understand something.

Answer:

ur answer is in the calculator

$25.96

Step-by-step explanation:

multiply $22 by 1.18 or 118 percent

Answer: 0.705

Hello!

________________________

Sheila either walks or cycles to school the probability that she walks to school is 0.705

Step-by-step explanation:

Probability she walks and is  not late = 0.65 * 0.60 = 0.39.

Probability she cycles and is not late =  0.35*0.9 = 0.315

Therefore P(not late) =  0.39 + 0.315 = 0.705

Hope this helped you!

Step-by-step explanation:

An equivalent fraction can be found by either multiplying the numerator and denominator by the same number or dividing the numerator and the denominator by the same number.

Answer:

top left

Step-by-step explanation:

If you look at both equations they both have 2x in them. This makes it easier to eliminate x. To eliminate x we must subtract the second equation from the first (because 2x - 2x = 0).