Can anyone help me out with this? (recursive formulas)

Answer:

Step-by-step explanation:

The answer is actually

Let:

S=1+2+3+4+5+6+7+8+9+n

We know the answer to the following infinite sum:

S2=1-1+1-1+1-1+1-1+1-1+1-1+1-....= - 1/2

We can therefore solve for this sum:

S3=1-2+3-4+5-6+7-8+9-....

We add them:

S3=      1-2+3-4+5-6+7-8...

S3=       +1-2+3-4+5-6+7-8...

        ________________

2S3=    1-1+1-1+1-1+1-1+1-....

Therefore:

2S3=S2=

Simplifying fractions:

1) [tex]\frac{14}{20} =\frac{7}{10}[/tex]                  2) [tex]\frac{4}{8} =\frac{1}{2}[/tex]

3) [tex]\frac{9}{12} =\frac{3}{4}[/tex]                  4) [tex]\frac{12}{15} =\frac{4}{5}[/tex]

5) [tex]\frac{8}{18} =\frac{4}{9}[/tex]                  6) [tex]\frac{14}{21} =\frac{2}{3}[/tex]

7) [tex]\frac{12}{16} =\frac{3}{4}[/tex]                  8) [tex]\frac{10}{24} =\frac{5}{12}[/tex]

9) [tex]\frac{15}{35}=\frac{3}{7}[/tex]                 10) [tex]\frac{13}{26} =\frac{1}{2}[/tex]

11) [tex]\frac{11}{55}=\frac{1}{5}[/tex]                12) [tex]\frac{9}{21} =\frac{3}{7}[/tex]

13) [tex]\frac{16}{26} =\frac{8}{13}[/tex]              14) [tex]\frac{20}{32} =\frac{5}{8}[/tex]

15) [tex]\frac{18}{24} =\frac{3}{4}[/tex]               16) [tex]\frac{21}{27} =\frac{7}{9}[/tex]

17) [tex]\frac{4}{32} =\frac{1}{8}[/tex]               18) [tex]\frac{25}{40} =\frac{5}{8}[/tex]

Hope this helps :)

Answer:

5.264 * 10^4

Step-by-step explanation:

We put a decimal point to the right of the number, so

52640.

Then we move it to the left until we get a number that is between 1 and 10.

5.2640

This was four hops to the left.

We can remove the trailing 0, and write

5.264 * 10^4

10^4 because of the four hops

Answer:

5.264×10^4

Step-by-step explanation:

10^4 = 10,000 x 5.264 = 52,640

Answer:

which class Of question is this

Okay this is the answer I hope this help

Answer:  [tex]18\sqrt{2}\\\\[/tex]

This is the same as saying 18*sqrt(2) or you could say 18√2

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

Explanation:

We'll be using this square root rule: [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]

So we could have this as our steps:

[tex]3\sqrt{12}*\sqrt{6}\\\\3\sqrt{12*6} \ \text{ ... Apply the rule mentioned}\\\\3\sqrt{72}\\\\3\sqrt{36*2}\\\\3\sqrt{36}*\sqrt{2} \ \text{ ... Apply the rule again, but in reverse}\\\\3*6*\sqrt{2}\\\\18\sqrt{2}\\\\[/tex]

Therefore, [tex]3\sqrt{12}*\sqrt{6} = 18\sqrt{2}[/tex]

The basic idea is to first combine the roots using that rule. From there, we factor the radicand such that we pull out the largest perfect square factor. This will allow us to break the root apart and fully simplify it.

Answer:

He will pay $10

Step-by-step explanation:

35-25=10

Answer:

12 sides

Step-by-step explanation:

its a regular polygon so we can use the formula 180(n-2)/n which finds the angle of the regular polygon, since the exterior angle is 30, the angle of the regular polygon is 180-30=150, so 180(n-2)/n=150.

Answer:

x≤4 is a closed circle on 4 going left and x≥8 is a closed circle on 8 going right

Step-by-step explanation:

Not sure how to explain it.

Answer: De and Ef

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

(2)(-5) -(-3)

Multiply:

2 × -5 = -10

-10 -(-3)

-10 + 3

   -8

Hope this helped.

Answer:

(2) (-5)- (-3)

-10 - (-3)

-10 + 3

-7

therefore the final answer is ((( -7 )))

Step-by-step explanation:

hope this helps

Answer:

When we talk about Intercept... We refer to the place where the line touches or Crosses a Mentioned axis.

In this question... We needed the y - Intercept

Know This: At the intercept of a mentioned axis...The other axis is zero at that point.

In other words... If we're asked for intercept at x-axis ... The y value at that point is zero and Vice Versa

So To find the y Intercept... the x value at this point is zero(0).

With this in Mind...

substitute x = 0 into the quadratic eqn

f(x) = 0² +8(0) - 13

f(x) = -13

This is Our Y Intercept .

To get the x intercept(if asked)

substitute y = 0 and solve

0 = x² + 8x - 13

This is a quadratic equation

Solving this would get you two value and those values would be your x intercept.

I hope it helps.

Have a great day.

Answer:

The difference between the height of the mountain and the depth of the trench is 8,271 ft.

Step-by-step explanation:

brainliest plz?

Answer:

$1080

Step-by-step explanation:

s=30w+750

s=30(11)+750

s=330+750

s=1080

9514 1404 393

Answer:

  A.  500 cm²

Step-by-step explanation:

The height of the piece of cardboard is the same as the height of the prism: 20 cm.

The width of the piece of cardboard is the sum of the side lengths of the prism: 7 cm + 9 cm + 9 cm = 25 cm.

The area of the cardboard is the product of its height and width.

  A = HW

  A = (20 cm)(25 cm) = 500 cm²

9514 1404 393

Answer:

  1057 quarts

Step-by-step explanation:

"Kilo-" is an SI prefix meaning 1000. 1 kiloliter is 1000 liters, so will be ...

  1000 liters = 1000 × 1.057 quarts = 1057 quarts

My answer is in the picture

Answer: $133.20

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

[tex]4x + 24 = 7x - 49 \\ then \: collect \: the \: same \: variable \\ 4x - 7x = - 49 - 24 \\ x = - 63 \div - 3 = 21[/tex]

Answer:

vertex = (- 3, 7 )

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

f(x) = (x - 3)² + 7 ← is in vertex form

with vertex = (3, 7 )

Spoon ;

[tex]5 \frac{3}{8} = \frac{43}{8} = 5.375[/tex]

Key ;

[tex]6 \frac{3}{4} = \frac{27}{4} = 6.75[/tex]

Cup ;

[tex]4 \frac{3}{12} = \frac{17}{4} = 4.25[/tex]

bowl;

[tex]5 \frac{5}{6} = \frac{35}{6} = 5.83[/tex]

[tex]key = 6 \frac{3}{4} = \frac{27}{4} = 6.75[/tex]

I hope I helped you^_^

please mark this answer as brainlist

9514 1404 393

Answer:

  (g·f)(9) = 496

Step-by-step explanation:

One way to do this is to find the values of g(9) and f(9).

  g(9) = (3x -1)x +14 = (3(9) -1)(9) +14 = 26(9) +14 = 248

  f(9) = -(9) +11 = 2

Then ...

  (g·f)(9) = g(9)·f(9) = 248·2

  (g·f)(9) = 496

Answer:

refer to workings

Step-by-step explanation:

Perimeter=15+15+8+8=46cm

Area=15×8=120cm²

Answer:

0t=8

Step-by-step explanation:

3t+4=12+3t

3t-3t=12-4

0t=8