Color the map with four colors. No two areas with a common border can have the same color.

What will be an ideal response?




Mathematics

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Solve the problem.A simple electrical circuit consists of a resistor connected between the terminals of a battery. The voltage V (in volts) is dropping as the battery wears out. At the same time, the resistance R (in ohms) is increasing as the resistor heats up. The power P (in watts) dissipated by the circuit is given by P =  . Use the equation =   + 

src="https://sciemce.com/media/4/ppg__as0610191803__f1q87g5.jpg" style="vertical-align: -17.0px;" /> to find how much the power is changing at the instant when R = 4 ohms, V = 3 volts,  and dV/dt = -0.04 volts/sec.

A. 1.06 watts
B. 1.19 watts
C. -1.19 watts
D. -1.06 watts

Mathematics

Determine whether the given lines are parallel, perpendicular, or neither.y = 5x + 3y = -5x + 1

A. Parallel B. Perpendicular C. Neither

Mathematics

Solve the problem.A square playground has a white line drawn through its diagonal. This creates two triangles whose angle measures are 45°, 45°, and 90°. If the sides of the playground are 53 feet, find the length, x, of the diagonal. Round to one decimal place if needed. 

A. 30.6 ft B. 75 ft C. 37.5 ft D. 91.8 ft

Mathematics

Multiply or divide, as indicated. Simplify the answer. ? 

A. 5 B. -5 C. 5i D. -5i

Mathematics