Solve the equation. Show your work.2x+2+1x+4=4×2+6x+8x = ________

Solve each inequality for x. Graph the solution and write it in interval notation. Show your work. 7 x – 2 ( x – 3 ) < 5 ( 2 - x ) Interval notation: __________ line.png

Perform the indicated operation(s).Write the answer in standard form a+bi, in the simplest form. Show your work.2-4i1-i

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A soccer ball is kicked in deep space, far from any stars or planets. After the kick, the ball will:

A `m` kg sled is pulled up a `a`o incline at constant speed. The coefficient of kinetic friction between sled and slope is μₖ = `u`.Question: What magnitude of the pulling force parallel to the incline is required?Enter a number only. Units: N

Two masses hang from a light string over an ideal pulley: m1=`m1` kg m_1=3.20\text{ kg} and m2=`m2` kgm_2=2.00\text{ kg}. Assume that m2

In a lab, a student investigates Newton’s Second Law by pulling a cart of known mass with varying forces and measuring the resulting acceleration. The cart’s mass is measured as 0.500 kg. The student collects the following data: Applied Force (N) Measured Acceleration (m/s2) 1.00 2.05 2.00 3.95 3.00 6.00 4.00 7.90 Using Newton’s Second Law, calculate the theoretical acceleration of the cart for each applied force.  Compare the measured accelerations with the theoretical accelerations by finding the percent error for each data point. Determine the average percent error across all four trials. Based on this result, evaluate whether the data supports Newton’s Second Law. Suppose the experiment was repeated on a track with noticeable friction. Explain how this would affect the slope if the student plotted force vs. acceleration and fit a straight line to the plot.

Match the Theorists with the Theory: Theorist Kohlberg:

A rocket moves forward in space by expelling exhaust gases backward. This motion is explained by: