Find the relationship expression between the phasors of RLC series circuit!

Find the relationship expression between the phasors of RLC series circuit!

In RLC series circuit, the voltage at both ends of pure resistor is in phase with the current, the voltage at both ends of pure inductance coil is 90 degrees ahead of the current, the voltage at both ends of pure capacitor is 90 degrees behind the current, the total voltage U = U1 + UL + UC = IR, the square of total u = (ul-uc) + the square of pure resistor R

6x-10 [10-x] equals 36. How to solve this equation

6X-100+10X=36
16X=36+100
X=8.5

No equation! In a 0.8m diameter water pipe, the water flow velocity is 1.5m per second, and the amount of water flowing in one minute is? M3?

One second running water: 3.14 * 0.8 / 2 * 0.8 / 2 * 1.5 = 0.7536 M3
One part of water: 0.7536 * 60 = 45.216 M3

How to prove that y = 1 / X is infinitesimal when x →∞

For any U > 0, when x > 1 / u or X

9 / 10-4 / 3 9 / 8-6 / 1 8 / 8 / 5 15 / 8 * 15 / 6 / 1
4 / 9 + 2 / 3 50 * 4 * 20 / 19 11 / 5 * 25 / 22
9 of 20 * 9 of 5 20 * 6 of 1 + 4 * 6 of 1

4 / 9 + 2 / 3 = 10 / 9
9 / 10-3 / 5 = 3 / 10
19 out of 50 * 4 * 20 = 190
5 / 11 * 22 / 25 = 2 / 5
9 out of 20 * 5 out of 9 = 1 / 4
20 * 1 / 6 + 4 * 1 / 6 = 4

Calculation by simple method
(1) The 16th power of (0.125) × (- 8)
(2) (5 / 13) to the power of 2009 × (2 and 3 / 5) to the power of 2008
(3) 12 power of (0.125) × (15 power of 2) 3

The 16th power of (0.125) × (- 8)
=125 × 8) to the 16th power
=The 16th power of 1
=1
(5 / 13) to the power of 2009 × (2 and 3 / 5) to the power of 2008
=2008 power of (5 / 13 × 13 / 5) × (5 / 13)
=5 / 13 × 1 to the power of 2008
=5／13
12 power of (0.125) × (15 power of 2) 3
=12 power of (0.125) × (15 power of 8)
=12 power of (0.125) × (12 power of 8) × (3 power of 8)
=The 12th power of 1 × (the 3rd power of 8)
=512

There are two equal forces F1 and F2 in common. When the angle between them is 90 degrees, the resultant force is F. when the angle between them is 120 degrees, what is the resultant force?

F / radical 2
When the included angle is 90 °, F1 ^ 2 + F2 ^ 2 = f ^ 2
And because F1 = F2
So F1 = F2 = f / radical 2
When the resultant force is 120 °, the resultant force F '= F1 = F2 = f / radical 2

How to calculate 15x + 55 (3.2-x) = 120
Detailed formula,

15x+55(3.2-x)=120
15x+55*3.2-55x=120
15x-55x=120-55*3.2
-40x=-56
x=1.4

Find the regular number! 2,12,30, (), (), 132

1x2 3x4 5x6 7x8=56 9x10=90 11x12=132

Every even number greater than 4 can be expressed as the sum of two odd primes. Ask 168 which two-digit prime number is the sum, and the bit of one of them is 1

The two prime numbers with one digit are: 11,31,41,61,71
Another number corresponding to it: 157137147107,97
Only 97 people met the requirements
So 168 is the sum of two prime numbers of 71 and 97