Provide an appropriate response.Explain why this sequence of steps is incorrect.log364?= log3 = log3 + log3

What will be an ideal response?


The product rule for logarithms cannot be applied to the expression on the right side of the initial equation. That is,  applies only if x, y, and b are positive real numbers, where  Since  it is clearly a positive real number ? 1. However,  which is a negative number, and thus the rule cannot be applied.

Mathematics

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Provide an appropriate response.The number of loaves of whole wheat bread left on the shelf of a local quick stop at closing (denoted by the random variable X) varies from day to day. Past records show that the probability distribution of X is as shown in the following table. Find the probability that there will be at least three loaves left over at the end of any given day. 

A. 0.20 B. 0.65 C. 0.35 D. 0.15

Mathematics

Write the complex number in polar form. Express the argument in degrees, rounded to the nearest tenth, if necessary.1 - i

A. 4(cos 330° + i sin 330°) B. 2(cos 330° + i sin 330°) C. 4(cos 300° + i sin 300°) D. 2(cos 300° + i sin 300°)

Mathematics

Find the mode of the given data set.5, 9, 27, 3, 2, 8, 56, 1, 4, 16

A. 12.5 B. 9 C. 8 D. No mode exists.

Mathematics

The measurement is 180 cm. Find the precision and the greatest possible error of the measurement. 

A. The precision of the measurement is 0.001 cm. The greatest possible error of the measurement is 0.0005 cm. B. The precision of the measurement is 0.01 cm. The greatest possible error of the measurement is 0.005 cm. C. The precision of the measurement is 0.01 cm. The greatest possible error of the measurement is 0.00005cm. D. The precision of the measurement is 0.0001 cm. The greatest possible error of the measurement is 0.00005 cm. E. The precision of the measurement is 0.0001 cm. The greatest possible error of the measurement is 0.0005 cm.

Mathematics