Provide an appropriate response.If a number has a negative natural logarithm, then the number must be ___.

Fill in the blank(s) with the appropriate word(s).


between 0 and 1.

Mathematics

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Find an equation for the sphere with the given center and radius.Center (-5, 4, 0), radius = 10

A. x2 + y2 + z2 - 10x - 8y = 59 B. x2 + y2 + z2 + 10x - 8y = 59 C. x2 + y2 + z2 - 10x + 8y = 59 D. x2 + y2 + z2 + 10x + 8y = 59

Mathematics

Find the following root if it exists.-

A. -6 B. This root does not exist as a real number C. 10.645 D. -36

Mathematics

Prove the identity. ?

What will be an ideal response?

Mathematics

Solve.The period of vibration P for a pendulum varies directly as the square root of the length L. If the period of vibration is 4 sec when the length is 64 inches, what is the period when L = 3.0625 inches?

A. 0.875 sec B. 5 sec C. 4.75 sec D. 4.25 sec

Mathematics