The voltage E in an electrical circuit is modeled by E = 1.5×cos 140×pi×t, where t is time measured in seconds. Find the frequency. (The number of cycles (periods) completed in 1 sec is the frequency of the function.)

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.

If you apply the below transformations to the square root parent function, f(x) = vx, what is the equation of the new function? • shift 12 units right. • shift seven units down.

What is the ratio of the length of an object in yards to the length of the same object in miles?