A high-intensity portable lantern is powered by several batteries that are connected in series. The lantern’s bulb uses 86 W of power, while the current in the lantern is 3.0 A. Assuming that there is no power loss in the circuit, what is the total voltage of the batteries?

28.6666666667 or 29

Explanation:

the formula for voltage (if power is involved)

V = P/i

86 ÷ 3

28.6666666667

if you want your can round to get a more simple answer

29

answer: 802.3 kilo joules of energy represents 191.75 kilo calorie of energy.

explanation:

energy released during combustion of one mole methane = 802.3 kilo joules

if 1 kilo joule = 0.239006   kilo calorie

then ,802.3 kilo joule will be = 802.30.239006 kilo calorie

802.3 kilo joule = 191.75 kilo calorie

hence, the energy in kilo calorie is 191.75 kilo calorie.

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .