Which sequences of transformations applied to shape I prove that shape I is similar to shape II? A reflection across the x-axis, followed by a reflection across the y-axis, and then a dilation by a scale factor of 0.5 B a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 0.5 C a 180° counterclockwise rotation about the origin, and then a dilation by a scale factor of 0.5 D a translation 2 units down and 5 units left, and then a dilation by a scale factor of 0.5

Jonathan pays $1.90 per pound for potatoes. he buys 8.3 pounds of potatoes. he determines that he will pay $15.77, before tax, for the potatoes. which best describes the reasonableness of jonathan’s solution? jonathan’s answer is reasonable because there are two decimal places in the factors and two in the product. jonathan’s answer is unreasonable because there are three decimal places in the factors and two in the product. jonathan’s answer is reasonable because is 16, and 16 is close to 15.77. jonathan’s answer is unreasonable because is 8, and 8 is not very close to 15.77.

The lengths of nails produced in a factory are normally distributed with a mean of 4.91 centimeters and a standard deviation of 0.05 centimeters. find the two lengths that separate the top 4% and the bottom 4%. these lengths could serve as limits used to identify which nails should be rejected. round your answer to the nearest hundredth, if necessary.

Acylinder and its dimensions are shown. which equation can be used to find v, the volume of the cylinder in cubic centimeters?