Any number that you can completely write down on paper using digits ... and a fraction bar or decimal point if necessary ... is a rational number. If you add it to 0.5, then the sum is another rational number.

5 0

3 years ago

The total current of a parallel circuit is 9+j2 amps and the current of one component of the circuit is 3−j5 amps. What is the c

stealth61 [152]

Apply law of total resistance in parallel circuit

$\\ \tt\hookrightarrow \dfrac{1}{R}=\dfrac{1}{R_1}+\dfrac{1}{R_2}$

$\\ \tt\hookrightarrow \dfrac{1}{9+2J}=\dfrac{1}{3-5j}+\dfrac{1}{R_2}$

$\\ \tt\hookrightarrow \dfrac{1}{R_2}=\dfrac{1}{9+2J}-\dfrac{1}{3-5J}$

$\\ \tt\hookrightarrow \dfrac{1}{R_2}=\dfrac{3-5J-9-2J}{(9+2J)(3-5J)}$

$\\ \tt\hookrightarrow R_2=\dfrac{(9+2J)(3-5J)}{-6-7J}$

4 0

3 years ago

Represent the geometric series using the explicit formula. 3, −6, 12, −24, … f(n) = 3 ⋅ (2)(n−1) f(n) = 3 ⋅ (−2)(n−1) f(n) = f(n

mr Goodwill [35]

Answer:

$f(n)=(-2)(n-1)$

Step-by-step explanation:

Each term of this Geometric Series (3, −6, 12, −24, ...) can also be found through this explicit formula: $f(n)=(-2)(n-1)$ Because the $n^{th}$ term is found by the product of its common ratio "q", times its predecessor n-1. Where n, refers to the order of the term.

So let's test it, suppose we want to find the 4th term. We know the common ratio and the first term. Then we can write f(n) as:

$\\f(n)=3(-2)^{n-1}$

f(4)=f(3)*-2⇒-24=12*-2⇒-24=-24

The explicit formula is ok.

3 0

3 years ago

A spinner has the numbers 1 thru 9. The spinner is spun once.

uysha [10]

C.33.33%

There is a 3 out of 9 chances for the spinner on 3,6, or 8. divide 3 by 9 and multiple by a 100 to get the percentage.

8 0

3 years ago