Find the "explicit" formula, f(n) of this sequence: 2, 5, 12.5, 31.25,...

Answer:

2

Step-by-step explanation:

proportional relationship: must be straight line and go through (0, 0).

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: C. 2 [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Proprtional relationship can be depicted as :

[tex]\qquad \tt \rightarrow \: y \propto x[/tex]

[ to get rid of proportionality sign, we use constant c ]

[tex]\qquad \tt \rightarrow \: y = cx[/tex]

Now, conclusion can be made that the shown equation represents a straight line.

And the graph has two straight lines, which means proportional relationship is shown by Two members

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

No Solutions

Step-by-step explanation:

Hello!

We can approach this system using the Elimination method. Since the coefficients of the the x terms are the same, we should vertically subtract the two equations.

Since 0 does not equal to -11, there are no solutions to the system.

We can also look at this graphically. The two lines have the same slope but different y-intercepts, meaning that they would be parallel lines with no intersection. If there is no intersection, there are no solutions.

Answer:

7.25 cookies to each kids

Step-by-step explanation:

14.5 divided by 2

Answer:

A

Step-by-step explanation:

2x² + 5x = 12

2x² + 5x - 12 = 0

x² + 5x - 24 = 0

factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. the only pair that adds to 5 is 8 and 3

2x² - 3x + 8x - 12 = 0

split the equation and factor

2x² - 3x = 0 ||| 8x - 12 = 0

x(2x - 3) ||| 4(2x - 3)

therefore the pair is (2x - 3)(x + 4)

2x - 3 = 0

2x = 3

x = 3/2

or

x + 4 = 0

x = -4

Answer:

678.24

Step-by-step explanation:

First, we have to find the area of 1 cylinder(pi x r^2 x h), which i got as 226.08 then we multiply by 3 because there are 3 cylinders. 226.08 x 3 = 678.24

Answer: Hope this helps you!

Step-by-step explanation:

First, I started off with the equation of the area of a cylinder

Area = π * radius^2 * height

Now I will go on and substitute

Area = 3.14 * 3^2 * 8

And now I will start solving

Area = 3.14 * 3^2 * 8

(3^2 = 3*3 = 9)

Area = 3.14 * 9 * 8

(9*8 = 72)

Area = 3.14 * 72

Area = 226.08

The area of 1 cylinder is 226.08, however we need to find the area of the whole composite figure which is made up of 3 cylinders.

226.08 * 3 = 678.24

Answer:

See below

Step-by-step explanation:

The first two questions are slope = 0

   a horizontal line has zero slope  

            slope = rise/run  = 0 / run = 0

Greatest y value is + 4   from x = 3 to 4

the least y value is -3 fro x = -4 to -3

Answer:

She finished swimming lesson at 2:15 p.m.

and reading book at 2:50 p.m.

Step-by-step explanation:

I hope this helped (:

Lola finished her swimming lesson at 2:15 p.m. and read a book at 2:50 p.m.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

Lola's swimming class began at 1:30 p.m. and lasted 45 minutes.

She then spent 35 minutes reading a book.

To determine the time did she finish her swimming lesson and the time did she finish reading.

swimming  end time = began time + class duration

swimming  end time = 1:30 p.m. + 45 minutes

swimming end time = 2:15 p.m.

reading end time = began time + reading duration

reading end time = 2:15 p.m. + 35 minutes

reading end time = 2:50 p.m.

Thus, she finished her swimming lesson at 2:15 p.m. and read a book at 2:50 p.m.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

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Answer: A

Step-by-step explanation:

Let's fact check all the answer choices:

A. He used the commutative property

Well, the commutative property states that you can put the equation in any order and the result doesn't change. In step1, andrew makes the equation  -5.7+2.2 into 2.2-5.7. Both of these equations equal -3.5, so yes, he used the commutative property.

B.He used the distributive  property.

We know this is wrong because the distributive property involves multiplication. An Example of an equation that involves the distributive  property is 3(2+1), or 3x(2+1).

C. He used the associative property.

This is wrong because the associative  property involves grouping the equation into different parentheses , which doesn't happen.

D.  The answer is incorrect

Using a calculator , we know this is wrong.

Hope this helps :)) Also if i could have brainliest id really appreciate it :D

Answer:

4.6

Step-by-step explanation:

Answer: G.

Step-by-step explanation:

The formula for a circle's circumference is C = 2[tex]\pi r[/tex]

r = radius

We know the rectangle ABCD has a perimeter of 72 cm.

The rectangle is divided into 6 perimeter sides: AP, PB, BC, CQ, QD, and DA.

If we divide 6 sides to the rectangle's perimeter, we can calculate the length of one side.

72 / 6 cm = 12 cm

A side of the perimeter of the rectangle ABCD is equal to 12 cm, which means PQ, the radius of the circle is equal to 12 cm.

C = 2[tex]\pi r[/tex]

radius = 12 cm

C = 2[tex]\pi[/tex] * 12 cm

C = 2 * 12 * Pi cm

C = 24[tex]\pi[/tex]

Answer = G.

Hope I Helped!

Answer:

24pi (G)

Step-by-step explanation:

This question might seem hard at first, but we know one crucial piece of information- line PQ- is the circle's radius. We also know that Q "fits perfectly" on line DC, and that angle QPB is a right angle. Since the line is straight and passes through THE MIDDLe of the rectangle, we can assume that line PQ divides the rectangle into two squares. Since squares have 4 corresponding sides, or sides with the same length, we can rewrite the equation as x+x+2x+2x, which is 6x = 72. Apply and find your answer.

EASIER EXPLANATION:

the radius is at a right angle, meaning it divides the rectangle into two squares.

It is stated that the perimeter of the rectangle is 72, meaning if we write it into an equation where x = short sides and y = long sides.

x+x+y+y = 72

However, the long sides really equal 2x, so we can rewrite the equation

x+x+2x+2x = 72

Simplify

X+x+x+x+x+x = 72

Simplify more

6x = 72

solve

x = 12

We also know that 2x is the dimeter, which is 24.

Apply to the circumference equation

C= Dpi

Since all our answeres are in pi form, we don't need to solve

ANSWER= 24

Answer: C

Step-by-step explanation:

Step 1: Find the unit rate (tomatoes  per  bowl)

Last time, the ratio was 9:12, or 9 tomatoes for 12 bowls of soup. To finndd the unit ratet, dividde the ffirst given unnit by the 2nd. In this case, tomatoes is the first unit, and bowls is the second. So the unit rate is:

9÷12= 0.75, or 3/4 of a tomato  per bowl of soup.

Now, the  ratio is 6:8, or 6 tomatoes for 8 bowls of soup. The unit rate is

6÷8= 0.75, or 3/4of a tomato per bowl of soup.

Step 2: Compare

As you can see, the number of tomatoes per bowl of soup hasn't changed at all. So the answer is C.

Hope this helps :)

Answer:

Todays’s soup will taste the same.

Step-by-step explanation:

9 tomatoes for every 12 cups of soup- ratio= 9/12=3/4

6 tomatoes for every 8 cups of soup- ratio=6/8=3/4

They both end in the same ratio, which is 3/4.

Answer:

3/5 of the students in the class are not in accounting majors

Step-by-step explanation:

The total number of males in the class is 3/8

3/5 of them are accounting majors

The ones who are not in accounting majors are;

3/8 - 3/5 = 9/40

The total number of female students in the class is;

8/8 - 3/8 = 5/8

1/4 of them are accounting majors

The ones who are not in accounting majors are;

5/8 - 1/4 = 3/8

Total number of students not in accounting majors;

9/40 + 3/8

= 24/40

= 3/5

1 month is aprox. 30 days, so

To find john's daily salary:

For a month, the salary is 4,410 rupees, so for a day how much?

days     salary

30          4,410    (This is how I learnt to solve these kind of problems)

1               ?

Then you crisscross the equation which becomes

4,410/30=147 rupees

To find weekly salary:

we now know the salary for one day so we can say: For a day, the salary is 147 rupees, so for 7 days (1 week) how much?

You multiply the salary for one day and the number of days: 147×7=1,029 rupees

To find salary for a year (annual):

we now know the salary for one day so we can say:  For a day, the salary is 147 rupees, so for 365 days (1 year) how much?

You multiply the salary for one day and the number of days: 147×365=53,655 rupees

Hope it helps!

Answer:

x = 6

Explanation:

scale factor × original dimension = dilated dimension

inserting values:

0.25 × x = 1.5

0.25x = 1.5

x = 1.5/0.25

x = 6

Answer:

In vertex form: y = 1(x - (-3))² + 7

Vertex: Minimum (-3, 7)

Explanation:

Vertex form: y = a(x - h)² + k

Completing square (rules) :

1st rule: (x + d)² = x² + 2dx + d²    and   (x - d)² = x² - 2dx + d²

2nd rule: x² + 2dx = (x + d)² - d²   and  x² - 2dx = (x - d)² - d²

Given equation:

y = x² + 6x + 16

y = x² + 2(3)x + 3² + 7

y = (x + 3)² + 7

Into vertex form:

y = 1(x - (-3))² + 7

From this identify:

a = 1, h = -3, k = 7

Solution, vertex of this equation: Minimum (-3, 7)

Answer:

1. $4

2. $2

3. $1

4. $30

Step-by-step explanation:

Answer:

1. $4

2. $2

3. $1

4. $30

Step-by-step explanation:

Answer:

which figure?????????????????????????????/

Step-by-step explanation:

i

Answer:

75 ¢

Step-by-step explanation:

10 cents +6 dimes + 5 cents equals  75 cents   or   3/4 of a dollar

Answer:

28 supplements

Step-by-step explanation:

4 x 7 = 28

7 x 4 = 28

Answer:

-1

Step-by-step explanation:

-40/7+8-23/7

= -40/7+8-23/7

= 16/7-23/7

= -1

Firstly, brainly allows 1 question per question. So do not try this again.

Lets make the fractions all like terms.

242/4 - 37/4=205/4. Lets now make this a mixed fraction.
By doing 205/4, we find out that 4 goes in less than 51 times.

1. 51  1/4.

2. 11/2 = 66/12.....so 66/12 - 29/12= 37/12. Make it mixed fraction: 3 1/12.

3. 36/5=72/10.      72/10 - 37/10 = 35/10. As a mixed it is 3 1/2

4. 35/3 - 17/2 can be rewritten by finding their GCM (Greatest Common Multiple). In this case it is 6.

70/6 - 51/6 = 19/6. 3 1/6.

#LearnWithBrainly, get Verified Answers

Answer:

x = 7

or

7 + 10 + 4 = 7 + 10 + 4

Step-by-step explanation:

( ? + 10 ) + 4 = 7 + ( 10 + 4 )

x + 10 + 4 = 7 + 10 + 4  (the answer is just 7)

x + 14 = 21

x = 21 - 14

x = 7

Answer:

Solution: There is exactly one solution, the lines intercept at one point, they are not the same line, so they do not have infinite solutions, and if they were to not intercept, they would have no solution.

Step-by-step explanation:

Set the equations equal

-2x-4=3x+3
     +4      +4

-2x=3x+7

-3x  -3x

-5x=7

/-5

x=-7/5

Plug x back into one of the equations

y=-2(-7/5)-4

y=-6/5

Answer:

  3504.24 square meters

Step-by-step explanation:

You want the surface area of a cylinder of radius 18 m and height 13 m.

The surface area of a cylinder is given by the formula ...

  A = 2πr(r +h)

  A = 2(3.14)(18 m)(18 m +13 m) = 3504.24 m²

The surface area of the cylinder is about 3504.24 square meters.

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Answer:

x =5.25

Step-by-step explanation:

Comment

So you want to find x? If the scale factor is 1.75 it means that you multiply whatever dimension on Figure A by 1.75 to get the corresponding dimension on B.

Formula

x = 1.75 * 3

Solution

x = 1.75 *  3

x = 5.25

Answer:

$ 2155.62

Step-by-step explanation:

regular pay rate = 11.10

overtime pay rate = 1.8 * 11.10

142 *  $11.10        +         29 * ( 1.8 * $ 11.10)        =   $  2155.62

Answer:

D. 11n + 12

Step-by-step explanation:

You can simplify the 4n + 7n to be 11n by adding them together.

This means the answer is 11n + 12.

Answer:

c = 14.6

Step-by-step explanation:

[tex]\textrm {Applying the Pythagorean Theorem : }[/tex]

⇒ a² + b² = c²

[tex]\textrm {Here, we are given :}[/tex]

⇒ a = 4

⇒ b = 14

[tex]\textrm {Solving :}[/tex]

⇒ c² = 4² + 14²

⇒ c² = 16 + 196

⇒ c² = 212

⇒ c = √212

⇒ c = 14.6 [tex]\textrm {(nearest tenth)}[/tex]

Answer:

D (Last one)

Step-by-step explanation:

You already know the sign is> with an underline under it, meaning it had to be whole. Next, you need to simplify the equation and you would get the last one.