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Vitek1552 [10]
3 years ago
15

Solve the problem.

Mathematics
2 answers:
storchak [24]3 years ago
8 0

The answer is option D.The solution is in the attached file.

RideAnS [48]3 years ago
6 0

Answer:  -185  (choice D)

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

Explanation:

  • x = first integer
  • x+1 = second integer

Note how x+1 follows immediately after x. That's what "consecutive" means by definition. An example of consecutive integers would be 7,8,9,10.

Adding those two said integers will lead to -371

first+second = -371

x+(x+1) = -371

2x+1 = -371

2x = -371-1

2x = -372

x = -372/2

x = -186

x+1 = -186+1 = -185

Note how -186+(-185) = -371 to confirm the answer.

The two consecutive integers that add to -371 are -186, -185. The larger of the two is -185 since it's more to the right on the number line.

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Two capacitors, a 20 mF and a 30 mF, are connected in parallel to a 400 Hz source. The total capacitive reactance is _____.
muminat

<u>Answer</u>-

<em>The total capacitive reactance of the circuit is </em><em>7.96 Ω.</em>

<u>Solution-</u>

Two capacitors, a 20 mF and a 30 mF, are connected in parallel to a 400 Hz source.

The effective/equivalent capacitance of the circuit is,

C=20+30=50\ mF

As, when capacitors are connected together in parallel, the equivalent capacitance in the circuit is equal to the sum of capacitance of all the individual capacitor.

We know that,

X_c=\dfrac{1}{2\pi fC}

Where,

X_c = Capacitive Reactance (in Ω)

f = frequency (in Hz)

C = Capacitance (in F)

Here given,

X_c = ??

f = 400 Hz

C = 50 mF = 50\times 10^{-6} F

Putting the values in the formula,

X_c=\dfrac{1}{2\pi \times 400\times 50\times 10^{-6}}

X_c=\dfrac{10^{6}}{40000\pi}

X_c=7.96\ \Omega

Therefore, the total capacitive reactance of the circuit is 7.96 Ω.

5 0
4 years ago
Rewrite your expression using the distributive property:5m + 25n
Hunter-Best [27]

Answer:

Step-by-step explanation: 5m+25n

4 0
3 years ago
Factor out the greatest common factor: 16a3 - 8a5
Delvig [45]
8a³ (2 − 4a²) ; 
________________________________________________
Note:  " 8a³ " is the greatest common factor (GCF).
6 0
3 years ago
8,3,9,4,10,5 what are the following numbers and explain the pattern
IRISSAK [1]

Answer subtract 5, add 6

Step-by-step explanation:

8-5=3

3+6=9

9-5=4

and so on

8 0
4 years ago
PLEASE HELP ME!!!!!!!!!
alexandr402 [8]
1296 is the correct answer

5 0
3 years ago
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