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vova2212 [387]
3 years ago
7

Complete this ratio table

Mathematics
1 answer:
Kryger [21]3 years ago
6 0

Answer:

I think its 8,9 and 12,13

You might be interested in
Which of the following geometric series converges?
Artist 52 [7]

All three series converge, so the answer is D.

The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.

Consider a geometric sequence with the first term <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is

S_n=a+ar+ar^2+\cdots+ar^{n-2}+ar^{n-1}

Multiply both sides by <em>r</em> :

rS_n=ar+ar^2+ar^3+\cdots+ar^{n-1}+ar^n

Subtract the latter sum from the first, which eliminates all but the first and last terms:

S_n-rS_n=a-ar^n

Solve for S_n:

(1-r)S_n=a(1-r^n)\implies S_n=\dfrac a{1-r}-\dfrac{ar^n}{1-r}

Then as gets arbitrarily large, the term r^n will converge to 0, leaving us with

S=\displaystyle\lim_{n\to\infty}S_n=\frac a{1-r}

So the given series converge to

(I) -243/(1 + 1/9) = -2187/10

(II) -1.1/(1 + 1/10) = -1

(III) 27/(1 + 1/3) = 18

8 0
3 years ago
Find the slope of the line that passes through (4,2) and (9,1)?
pshichka [43]

Answer:

The slope of the line is \displaystyle -\frac{1}{5}.

Step-by-step explanation:

We are given two coordinate points:

  • (4, 2)
  • (9, 1)

We are asked to find the slope of the line.

We can use the rise-over-run formula to solve for the slope of the line.

\displaystyle \text{slope} = \frac{\text{rise}}{\text{run}}\\\\\text{slope} = \frac{y_2-y_1}{x_2-x_1}

However, we firstly need to name our coordinate points.

In math, we can label our coordinates using the following label system:

(x_1, y_1), (x_2, y_2)

Therefore, we can also label our coordinates as such:

  • x_1 = 4
  • y_1 = 2
  • x_2 = 9
  • y_2 = 1

Now, we can supply these values into the formula and solve for our slope, or a better known variable, <em>m</em>.

\displaystyle m = \frac{1 - 2}{9 - 4}\\\\m = \frac{-1}{5}\\\\m = -\frac{1}{5}

Therefore, our slope is \displaystyle -\frac{1}{5}.

8 0
3 years ago
Read 2 more answers
1 -3,45<br> Rational or irrational
Naddik [55]

Answer: rational

Step-by-step explanation:

A rational number is a number that can be expressed as a fraction. Hence 1-3.45 = - 2.45 which is - 49/20 as a fraction

6 0
3 years ago
Read 2 more answers
Any help would be appreciated
Dvinal [7]
The previous person is correct. It’s 32x6 = 192 cm.
3 0
2 years ago
Solve (x + 2) (x + 3) + (x – 3) (x – 2) – 2x(x + 1) = 0<br> x = 5<br> x = 6<br> x = 7<br> x = 8
Anna11 [10]

Answer:

x = 6

Step-by-step explanation:

3 0
3 years ago
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