All categories

2 years ago

Find AB if ZB=3x-17 and ZA=x+5

Mathematics

1 answer:

Aloiza [94]2 years ago

6 0

Answer:

AB = 4x-12

Step-by-step explanation:

AB = ZA+ZB

= x+5 + 3x-17

= 4x-12

You might be interested in

Help me please thanks

QveST [7]

12v + 8

hope it helps...!!!

8 0

2 years ago

6. Roy hit 3 less than 4 times the number of balls during baseball practice than Joe did. Together the boys hit 52 balls. How ma

Soloha48 [4]

Joe hit ten balls :)

6 0

2 years ago

Read 2 more answers

Cant figure out the improper and mixed

Ymorist [56]

The mixed number for this diagram would be: 4 5/6
The improper fraction would be: 29/6
That’s going off of the whole diagram.

6 0

3 years ago

Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is inconclusive, determine the co

jeka57 [31]

Answer:

<h2>A. The series CONVERGES</h2>

Step-by-step explanation:

If $\sum a_n$ is a series, for the series to converge/diverge according to ratio test, the following conditions must be met.

$\lim_{n \to \infty} |\frac{a_n_+_1}{a_n}| = \rho$

If $\rho$ < 1, the series converges absolutely

If $\rho > 1$ , the series diverges

If $\rho = 1$ , the test fails.

Given the series $\sum\left\ {\infty} \atop {1} \right \frac{n^2}{5^n}$

To test for convergence or divergence using ratio test, we will use the condition above.

$a_n = \frac{n^2}{5^n} \\a_n_+_1 = \frac{(n+1)^2}{5^{n+1}}$

$\frac{a_n_+_1}{a_n} = \frac{{\frac{(n+1)^2}{5^{n+1}}}}{\frac{n^2}{5^n} }\\\\ \frac{a_n_+_1}{a_n} = {{\frac{(n+1)^2}{5^{n+1}} * \frac{5^n}{n^2}\$

$\frac{a_n_+_1}{a_n} = {{\frac{(n^2+2n+1)}{5^n*5^1}} * \frac{5^n}{n^2}\\$

aₙ₊₁/aₙ =

$\lim_{n \to \infty} |\frac{ n^2+2n+1}{5n^2}| \\\\Dividing\ through\ by \ n^2\\\\\lim_{n \to \infty} |\frac{ n^2/n^2+2n/n^2+1/n^2}{5n^2/n^2}|\\\\\lim_{n \to \infty} |\frac{1+2/n+1/n^2}{5}|\\\\$

note that any constant dividing infinity is equal to zero

$|\frac{1+2/\infty+1/\infty^2}{5}|\\\\$

$\frac{1+0+0}{5}\\ = 1/5$

$\rho = 1/5$

Since The limit of the sequence given is less than 1, hence the series converges.

5 0

2 years ago

Select all expressions that are equivalent to 5x + (x+6) +3x.

zhuklara [117]

Answer:

9x + 6 and 6x + 6 + 3x

Step-by-step explanation:

6 0

2 years ago