It depends on the prayer, but you are probably referring to "baruch hu uvaruch sh'mo"
Also, it depends a lot on who "they" are.
blessed are you Lord = baruch atah Adonai (בָּרוּךְ אַַתָּה יְיָ)
"Baruch Adonai" is a Hebrew phrase that translates to "Blessed be the Lord" in English. "Baruch" means blessed, and "Adonai" is one of the names for God in the Hebrew Bible. This phrase is often used in Jewish prayers and blessings to acknowledge and praise the divine presence.
Translation: Jesus, you are the LORD.
No. The blessing for Torah study is: Baruch atah Adonai, Eloheinu Melech haolam, asher kid'shanu b'mitzvotav v'tzivanu la'asok b'divrei Torah. Blessed are You, Adonai our G-d, Ruler of the World, who has sanctified us with your commandments and commanded us to engage in the words of Torah.
Yevarechecha Adonai. (יְבָרֶכְךָ ה׳)
it depends on the blessing and religion in Hebrew most but not all start with"baruch atah adoni"
Most holidays have specific prayers just for that holiday, but a generic prayer for all holidays would be the shehecheyanu:אֱלֹהֵינוּ מֶלֶךְ הַעוֹלָם‎ בָּרוּךְ אַתָּה יְיָ‎Blessed are You, ADONAI our God, Ruler of the Universe,Baruch atah Adonai Elohenu melekh ha'olamוְהִגִּיעָנוּ לַזְּמַן הַזֶּה‎ שֶׁהֶחֱיָנוּ וְקִיְּמָנוּ‎who has granted us life, sustained us and enabled us to reach this occasion.shehecheyanu vekiymanu vehigi'anu lazman hazeh.
This is not a question. It's just the phrase that most Jewish blessings begin with. If you have a question about it, you need to state the question.
Before putting the arm-tefilah (that's the singular of tefillin) -Baruch ata Adonai Eloheinu melekh haolam asher kiddeshanu bemitzvotav vetzivanu lehaniach tefillin.And before putting the head-tefilah:Baruch ata Adonai Eloheinu melekh haolam asher kiddeshanu bemitzvotav vetzivanu al mitzvat tefillin.
Before the Torah readingBarchu et adonai hamvorach.The congregation then responds:Baruch adonai hamvorach l'olam va-ed.You then repeat:Baruch adonai hamvorach l'olam va-ed.Then You Complete the blessing by reciting:Baruch ata adonai, elohainu melech ha'olam, asher ba-char banu mikal ha-ah-mim v'natan lanu et torahto. Baruch ata adonai, noten hatorah(The Torah portion is then read by the "Baal Koreh" - the Torah reader. When he or she completes reading the Torah portion recite the blessing after reading the Torah):Blessing After Reading the TorahBaruch ata adonai, eloheinu melech ha'olam, asher natan lanu torat emet, v'chayei olam nata b'tocheinu. Baruch ata adonai, noten hatorah
It is the blessing over the occasion, said during any annual special occasion, not just the Passover seder.אֱלֹהֵינוּ מֶלֶךְ הַעוֹלָם‎ בָּרוּךְ אַתָּה יְיָ‎Blessed are You, ADONAI our God, Ruler of the Universe,Baruch atah Adonai Eloheinu melekh ha'olamוְהִגִּיעָנוּ לַזְּמַן הַזֶּה‎ שֶׁהֶחֱיָנוּ וְקִיְּמָנוּ‎who has granted us life, sustained us and enabled us to reach this occasion.shehecheyanu vekiyemanu vehigi'anu lazman hazeh.
Barukh Hashem is a general term for blessing the lord.