All categories

3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Mathematics

2 answers:

krok68 [10]3 years ago

6 0

I think its 40 over 81, 40/81

Pavel [41]3 years ago

5 0

Answer: $\bold{a_n=120\bigg(\dfrac{1}{3}\bigg)^{n-1}}$

<u>Step-by-step explanation:</u>

$\text{A geometric sequence is represented by:}\ a_n = a_1 (r)^{n-1}\\\text{where}\ a_1\ \text{is the first term, r is the common ratio, and n is the term}$

$\text{In the given sequence,}\ a_1=120\ \text{and r} = \dfrac{40}{120}=\dfrac{1}{3}$

$\rightarrow \ a_n=120\bigg(\dfrac{1}{3}\bigg)^{n-1}$

You might be interested in

Determine the singular points of the given differential equation. Classify each singular point as regular or irregular. (Enter y

ludmilkaskok [199]

Answer:

Step-by-step explanation:

Given that:

The differential equation; $(x^2-4)^2y'' + (x + 2)y' + 7y = 0$

The above equation can be better expressed as:

$y'' + \dfrac{(x+2)}{(x^2-4)^2} \ y'+ \dfrac{7}{(x^2- 4)^2} \ y=0$

The pattern of the normalized differential equation can be represented as:

y'' + p(x)y' + q(x) y = 0

This implies that:

$p(x) = \dfrac{(x+2)}{(x^2-4)^2} \$

$p(x) = \dfrac{(x+2)}{(x+2)^2 (x-2)^2} \$

$p(x) = \dfrac{1}{(x+2)(x-2)^2}$

Also;

$q(x) = \dfrac{7}{(x^2-4)^2}$

$q(x) = \dfrac{7}{(x+2)^2(x-2)^2}$

From p(x) and q(x); we will realize that the zeroes of (x+2)(x-2)² = ±2

When x = - 2

$\lim \limits_{x \to-2} (x+ 2) p(x) = \lim \limits_{x \to2} (x+ 2) \dfrac{1}{(x+2)(x-2)^2}$

$\implies \lim \limits_{x \to2} \dfrac{1}{(x-2)^2}$

$\implies \dfrac{1}{16}$

$\lim \limits_{x \to-2} (x+ 2)^2 q(x) = \lim \limits_{x \to2} (x+ 2)^2 \dfrac{7}{(x+2)^2(x-2)^2}$

$\implies \lim \limits_{x \to2} \dfrac{7}{(x-2)^2}$

$\implies \dfrac{7}{16}$

Hence, one (1) of them is non-analytical at x = 2.

Thus, x = 2 is an irregular singular point.

5 0

3 years ago

Find the M<6 if m<2 = 75

ryzh [129]

Answer:

Step-by-step explanation:

angle 2 and angle 6 are corresponding angles, because the lines are parallel and cut by a transversal, corresponding angles are congruent, thus if angle 2 is 75 degrees then angle 6 is 75 degrees

8 0

2 years ago

A bakery mixes cookie dough in large batches. For chocolate chip cookies, 10 cups of sugar and 20 cups of flour are needed

denpristay [2]

Answer:

around 30

Step-by-step explanation: dont quote me though

8 0

3 years ago

Sovle the system of linear equations by graphing y=2x-1 y=x+1

lorasvet [3.4K]

Answer:

2x-1=x+1

2x-x=x

1+1=2

x=2

Knowing x's value, we substitute it with the equations

y=x+1

y=2+1

or y=2x-1

y=2(2)-1

y=4-1

y=3

(2,3) are your coordinates :D

5 0

3 years ago

Which statement is true about a dot plot?

natali 33 [55]

Answer:

Step-by-step explanation:

3 0

3 years ago