Does God really hear my prayers?

During the days of Jesus' life on earth, he offered up prayers and petitions with loud cries and tears to the one who could save him from death, and he was heard because of his reverent submission.

- Hebrews 5:7

I will give you thanks, for you answered me; 
       you have become my salvation.

- Psalms 118:21

Do not let your hearts be troubled. Trust in God; trust also in me.

- John 14:1