Encrypt the word PLACE using an alphabetic Caesar shift cipher with shift 13 (mapping A and N)

A rectangle or patio has a length of 12 1/2 feet and an area of 103 1/8 feet. What is the width of the patio?

How many strings of length 5 can be written using the letters {a, b, c, d, e, f} if no two consecutive letters can be the same? For example, we'd count adede but not acdde.

Simplify the expression by combining like terms. 4b + 9b + 5b-6=

This is the sum the numbers in a set, divided by the number of items in the set. Example: For example, this of the set {2,4,6,8,10) is equal to (2+4+6+8+10) / 5 = 6.

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P34, the 34-percentile.

If g (x) is the inverse of f (x) and f (x) = 4x+12 what is g (x) ?

A pair of $120 shoes was discounted 20 percent. A customer had a coupon for an additional $5 off. What was the final price of the shoes? $90 $91 $92 $96

Determine if the statement is always, sometimes or never true. A natural number is a whole number. a. always c. never b. sometimes

13. Find the volume of a cube with the given! Side: 4cm

Which equation represents a circle with a center at (-3, - 5) and a radius of 6 units? A: (x - 3) 2 + (y - 5) 2 = 6 B: (x - 3) 2 + (y - 5) 2 = 36 C: (x + 3) 2 + (y + 5) 2 = 6 D: (x + 3) 2 + (y + 5) 2 = 36