Evaluate the expression without using a calculator.
ln* square root of e^4 - square root of lne^4

The variable z is directly proportional to x, and inversely proportional to y. when x is 4 and y is 13, z has the value 1.2307692307692. what is the value of z when x= 9, and y= 20

Simonne used the following steps to simplify the given expression. 12 - 3(-2x + 4) step 1: 12 + (–3)·(–2x) + (–3)·(4) step 2: 12 + 6x + (–12) step 3: 12 + (–12) + 6x step 4: 0 + 6x step 5: 6x what property of real numbers was used to transition from step 3 to step 4? a. identity property of addition b. inverse property of addition c. associative property of addition d. commutative property of addition

The sum of two numbers is 58. the first number is 8 less than half the second number. let  c  represent the first number. let  drepresent the second number. which statements about solving for the two numbers are true? check all that apply. the equation    represents the sum of the two numbers. the equation    represents the sentence “the first number is 8 less than half the second number.”the equation    represents the relationship between the two numbers. the equation    represents the sum of the two numbers. the number  d  is 14.the number  c  is 44.the number  c  is 14.the number  d  is 44.