Explanation

An electric field does work on a charge, causing it to gain or lose energy (kinetic or potential).

A magnetic field can change the direction of a moving charge.

Explanation

In a solid metal conductor, electric current is due to the flow of free electrons.

Electrons are negatively charged particles that move through the metal to create current.

Explanation

1 kilowatt hour (kWh) = 3.6 million joules (3.6 × 10⁶ J)

1 joule = 10⁷ ergs, so both joule and erg are much smaller than kilowatt hour.

Hence, Kilowatt hour is the biggest unit.

Explanation

Explanation

"3x" usually represents 3 rectangles (each representing x).

"+2" typically means 2 small unit squares (each representing 1).

So, a model showing 3 long bars and 2 small squares matches 3x + 2.

Explanation

Given A = p + prt, we need to solve for t.

Step 1: Subtract p from both sides

A - p = prt

Step 2: Divide both sides by pr

(A - p) / pr = t

The answer is A-p/pr.

Explanation

The initial population is 2¹⁶ insects.

If the population doubles, the new population will be 2 * 2¹⁶ = 2¹⁷.

Explanation

Step 1: Convert 2.5 × 10^-1 to a fraction

2.5 × 10^-1 = 0.25 = 1/4.

Step 2: Calculate 1/2 + 1/4

To add these fractions, find a common denominator, which is 4. 1/2 = 2/4. So, 2/4 + 1/4 = 3/4.

Explanation

The graph shows that Todd ate a significantly larger portion than Rick, then Rick 25% and Todd 75% is accurate.

Explanation

Length = x³ - x + 2

= (2)³ - 2 + 2

= 8 - 2 + 2

= 8

Width = x + x²

= 2 + (2)²

= 2 + 4

= 6

Area = Length * Width

= 8 * 6

= 48