**Answer:**

**impedance Z = 416.66 ohm **

**voltage across inducance V = 346.99 V **

**power factor = 0.720 **

**Explanation:**

**given data **

resistor R = 300

voltage amplitude = 500 V

resistor = 216 W

**to find out **

impedance and amplitude of the voltage and power factor

**solution**

we apply here average power formula that is

average power = I²×R ............1

I =

so

average power = ()²×R

Vrms = × Vmax

Z = V ×

Z = 500 ×

**impedance Z = 416.66 ohm **

and

we know voltage across inductor is here express as

V = I × X .............2

so here X will be by inductance

Z² = R² + (X)²

(X)² = 416.66² - 300²

X = 289.15 ohm

and I =

I =

I = 1.20 A

so from equation 2

V = 1.20 × 289.15

**voltage across inducance V = 346.99 V **

and

average power = Vmax × Imax × cos∅

tan∅ =

tan∅ = 43.95°

so power factor is

power factor = cos43.95°

**power factor = 0.720 **

Work = force * distance.

<span>You must produce twice as much energy as we are lifting the weight twice as high. </span>

<span>But because you aren't increasing the force, you need to increase the length of the ramp instead. </span>

<span>The new length will be twice as great as the previous length. </span>

<span>So 8 metres is required. </span>

Hope this helps.

**Answer:**

<em>P'(1.015)=4.93 grams</em>

**Explanation:**

<u>Instantaneous Rate Of Change
</u>

If one variable y is a function of another variable x, the rate of change can be measured by changing x by a small amount (dx) and computing the change in y (dy). The rate of change is

When dx tends to zero, we call it the instantaneous rate of change and is easily computed as the first derivative of y

Note: We'll be using the standart notation **atan** for the inverse tangent

We are given the relation between the mass of a colony of bacteria in grams P(t) and the time t in days

Let's find its first derivative, recalling that

We need to know the value of t, so we use the provided condition P=6 gr

We use this value in the derivative:

Radius of SUN = 695,700 km

Radius of EARTH = 6,371 km

**Answer:**

yes

**Explanation:**

this is true don't believe other people whether right or wrong