f , what is the truncation error for S3?

0.016
0.031
0.219
0.234

Answer:

Option (2)

Step-by-step explanation:

Given geometric sequence is,

2, 5, 12.5, 31.25, 78.125......

First term = a₁ = 2

Common ratio of the sequence = r = [tex]\frac{5}{2}[/tex]

                                                          = 2.5

Recursive formula of a geometric sequence is given by,

[tex]a_n=a_{n-1}(r)[/tex]

Here, [tex]a_n=[/tex] nth term of the sequence

[tex]a_{n-1}=[/tex] (n - 1)th term

r = common ratio

Therefore, recursive formula for the given sequence will be,

[tex]a_1=2[/tex]

[tex]a_n=a_{n-1}(2.5)[/tex]

Explicit formula of a geometric sequence is given by,

[tex]a_n=a_1(r)^{n-1}[/tex]

Therefore, explicit formula of the sequence will be,

[tex]a_n=2(2.5)^{n-1}[/tex]

Option (2) will be the correct option.

Answer:

He has 109 tickets left!

Step-by-step explanation:

ok, let's find out how many tickets he bought in total!

he bought: 9 packs with 16 tickets inside each pack

so...

9 x 16 = 144

144 - 35 = 109

Make sure to double check before writing it down!

Answer:

b

Step-by-step explanation:

Answer:

2 cm

Step-by-step explanation:

Answer:

∠1=102 ∠2=78

Step-by-step explanation:

Answer:

The answer is C. 18

Step-by-step explanation:

4(5)+10-12=18

Hope this helps!

Answer:

If the perimeter of a square is 28 inches and the area of the square is (x2 + 4x + 4) square inches, and x is a both a real and a positive number, then the value of x must be 5.

Step-by-step explanation:

All sides of a square are equal length.

The area of a square is the side length squared.

perimeter p, side length s, area a, and variable x.

p = 28.   s = ?   a = x^2 + 4x + 4.   x = ?

p = 28

p = 4s.

28 = 4s.

7 = s.

a = s^2.

s = 7.

a = 7^2.

a = 49.

a = x^2 + 4x + 4.

a = 49.

x^2 + 4x + 4 = 49.

factor x^2 + 4x + 4.

(x+2)(x+2) = 49.

(x+2)^2 = 49.

√ ((x+2)^2) = √49.

take positive answer.

x+2 = 7

x = 5.

Answer:

10 inches

Step-by-step explanation:

Answer:

C. 120°

Step-by-step explanation:

length of arc = 4π cm

r = 6 cm

central angle = s/r

=> central angle = 4π/6

=> central angle = 2π/3 radians

In degrees,

central angle = (2π/3)(180/π) = 120°

hope this helps and is right. p.s i really need brainliest :)

Answer:

[tex]20\:\mathrm{in}[/tex]

Step-by-step explanation:

The lateral surface area of a cone is given by [tex]A=\pi r\ell[/tex], where [tex]r[/tex] is the radius of the base of the cone and [tex]\ell[/tex] is the cone's slant height.

Solving for [tex]\ell[/tex]:

[tex]200\pi=10\pi\ell,\\\ell=\frac{200\pi}{100\pi}=\boxed{20\:\mathrm{in}}[/tex]

*Note: It is implied that the surface area of 200 pi square inches is lateral surface area and not total surface area, because it is impossible to obtain a total surface area of 200 pi with a radius of 10 inches.

Answer:

86

Step-by-step explanation:

Considering that it is a triangle ABC which means AB = AC + BC AB = 48 + 38 = 86

 I think that's it I hope it will help you

Answer:

may be the answer is g(4a)

Step-by-step explanation:

g(4a) = 2/(4a +3)

't' is replaced by '4a'.

Answer:

168 girls

Step-by-step explanation:

420 × 0.40

= 168

Answer:

Step-by-step explanation:

no of students=420

girls percentage=40%

no of girls=40/100*420

=16800/100

=168

therefore number of girls is 168.

Answer:

Morgan (17.06 secs)

Step-by-step explanation:

Jackie, morgan, Kylie and chung ran the 100 meter dash race

Jackie finished the race in 17.6 secs

Morgan finished the race in 17.06 secs

Kylie finished the race in 17.66 secs

Chung finished the race in 17.066 secs

Hence Morgan finished the race in the least amount of time in 17.06 seconds

Answer:

C

Step-by-step explanation:

Answer:

E) 150°

Step-by-step explanation:

angle adjacent to 70° angle is 110°

the angle supplemental to 'x' must be 180-(40+110) or 30°

this means 'x' must be 150°

Answer: 17%

Step-by-step explanation: 4/25=16/100=16%, so 17% is bigger.

so I think the answers ~ Garrett finishes his homework at 6:05.

only thats not an option so choose E because its the closest

hopefully this helps!!!

Answer:

Option 1

Step-by-step explanation:

It's asking me to write 20 words so blah blah blah.

Answer:

The solutions are (2,0) and (3,0)

Step-by-step explanation:

The common denominator is (x - 2)(x - 4) which comes to x^2 - 6x + 8 which is exactly what the denominator on the right hand side is.

2x (x - 4) - (x+3)(x - 2)      =    - 4x

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

(x -2)(x - 4)                            x^2 - 6x - 8

Multiply both sides by x^2 -6x - 8

2x(x - 4) - (x^2 + x - 6 ) = - 4x       Remove the brackets

2x^2 - 8x - x^2 - x + 6  = - 4x       Combine like terms on the left

2x^2 - x^2 - 8x - x + 6 =  - 4x

x^2 - 9x + 6 = - 4x                        Add 4x from both sides

x^2 - 9x + 4x + 6 = 0

x^2 - 5x + 6 = 0

This factors into

(x - 2) and (x - 3)

x - 2 = 0

x = 2

x - 3  = 0

x = 3

Answer:

I believe the answer is B and C

Step-by-step explanation:

Answer:

the middle one

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

1.1x +1.2x -5.4 = -10

Combine like terms

2.3x -5.4 = -10

Add 5.4 to each side

2.3x -5.4+5.4 = -10+5.4

2.3x = -4.6

Divide each side by 2.3

2.3x/2.3 = -4.6/2.3

x= -2

Answer: B. 1

Step-by-step explanation: A common factor is something that two or more numbers have in common. It is 1 because you multiply 1 by 1 to get 1, and 1 by 2 to get 2.

(1 by 1) = 1

(2 by 1) = 2

These two numbers have the number 1 in common because both 1 and 2 can only be multiplied by 1 and itself to get the number. (That is also what you call prime numbers.)

Answer:

A. 6 (2n - x +8)

Step-by-step explanation:

Answer:

6(2n-x+8)

Step-by-step explanation:

If a number is in front of the bracket it means times everything on the inside by that number.

So you times everything by 6.

6×2n=12n

6×-x= -6x

6×8=48

Then you put it into an equation:

12n-6x+48

Hope this helps :)

Answer:

Height of building from base to ladder = 5.8 meter (Approx.)

Step-by-step explanation:

Given:

Length of ladder = 6 meters

Distance of ladder from base = 1.5 meters

Find:

Height of building from base to ladder

Computation:

Perpendicular = √Hypotenuse² - Base²

Height of building from base to ladder = √Length of ladder² - Distance of ladder from base²

Height of building from base to ladder = √6² - 1.5²

Height of building from base to ladder = √36 - 2.25

Height of building from base to ladder = √33.75

Height of building from base to ladder = 5.8 meter (Approx.)

Answer:

Step-by-step explanation:

Two 30 - yes, 180 - 30 - 30 = 120. It is possible for 2 angles to be 30, the remaining angle would also be 120

Two 60 - yes, 180 - 60 - 60 = 60. It is possible for 2 angles to be 60, the remaining angle would also be 60

Two 90 - Not possible. The entire angles of a triangle have to equal 180, this would mean only 2 angles.

Answer:

44

yes. the total cost is 68 which is less than 70

Step-by-step explanation:

There is positive proportionality is two variables are positively related to each other.

The equation for direct proportionality =

y = bx

where y = dependent variable

b = constant

x = independent variable

amount of gasoline = b x length of the trip  

16 = b x 145

b = 16/145 = 0.110345

a. 400 x 0.110345 = 44

total litres used for the trip = 44 + 16 = 60

total cost of the trip = 60 x 1.13 = 67.8

total amount spent on gasoline is 67.8. this is less than the budget