Акт осмотра уже готов.

Because акт is a noun that is often followed by another noun in the genitive to show what kind of document it is.

So:

• акт = an official document, report, certificate, record
• осмотра = of inspection

Together, акт осмотра means inspection report, inspection certificate, or record of inspection, depending on context.

This is a very common Russian pattern:

• план города = plan/map of the city
• начало урока = beginning of the lesson
• результат экзамена = result of the exam

Not really. In this sentence, акт does not mean a theatrical act or an action in the general English sense.

Here, акт is an official or formal document. In administrative, legal, technical, and business contexts, it often means something like:

• report
• certificate
• official record
• inspection document

So акт осмотра is a formal document produced after an inspection.

Готов is the short form of the adjective готовый.

In Russian, short-form adjectives are commonly used:

• as the predicate of the sentence
• especially to mean a temporary state or condition

So:

• готовый = the full form, usually used before a noun
  
  • готовый акт = a ready/completed document
• готов = the short form, used after the noun as the predicate
  
  • Акт готов = The document is ready

In this sentence, готов agrees with акт, which is masculine singular.

Compare:

• Документ готов. = The document is ready.
• Работа готова. = The work is ready.
• Письмо готово. = The letter is ready.
• Документы готовы. = The documents are ready.

In Russian, the verb to be is usually omitted in the present tense.

So:

• Акт осмотра уже готов. literally looks like
• Inspection report already ready.

But in natural English, we translate it as:

• The inspection report is already ready. or more naturally,
• The inspection report is already prepared/completed.

Russian does use forms of быть in the past and future:

• Акт был готов. = The report was ready.
• Акт будет готов. = The report will be ready.

But in the present tense, you normally leave it out.

Уже means already.

It shows that the state has been reached earlier than expected, or that it has happened by now.

So Акт осмотра уже готов means the report is ready already / by now / sooner than expected.

Depending on context, уже can sometimes sound like:

• already
• by now
• now already

No, Russian word order is fairly flexible. The basic meaning stays the same, but the emphasis can change.

The neutral version is:

• Акт осмотра уже готов.

Other possible orders include:

• Акт осмотра готов уже.
  Slightly stronger emphasis on already
• Уже готов акт осмотра.
  Puts focus on the fact that it is ready
• Уже акт осмотра готов.
  Less neutral, more context-dependent

For a learner, the original sentence is a very natural and standard order.

Акт is in the nominative singular, because it is the subject of the sentence.

You can tell because the sentence is saying something about the inspection report:

• Акт осмотра = the inspection report
• готов = is ready

So the structure is basically:

• [subject in nominative] + [predicate/state]

Because it is the masculine singular short form.

Short-form adjectives change according to gender and number:

• masculine: готов
• feminine: готова
• neuter: готово
• plural: готовы

Since акт is a masculine noun, the correct form is готов.

Examples:

• Проверка готова. = The inspection/check is ready.
• Письмо готово. = The letter is ready.
• Документы готовы. = The documents are ready.

It can overlap with all of those, depending on context.

In this kind of administrative sentence, готов often means:

• ready
• prepared
• completed
• finalized

So although a very literal translation is The inspection report is already ready, natural English would often prefer:

• The inspection report is already prepared.
• The inspection report is already completed.
• The inspection report is ready now.

Russian готов is broader than English ready in some contexts.

A natural pronunciation is:

• Акт осмо́тра уже́ гото́в.

Main stress:

• акт
• осмо́тра
• уже́
• гото́в

A rough pronunciation guide for English speakers:

• akt as-MO-tra oo-ZHE go-TOV

The final в in готов is pronounced like f at the end of the word, so it sounds close to gatof in actual speech.

Yes. That would simply mean:

• The inspection report is ready.

Adding уже adds the idea of already.

So:

• Акт осмотра готов. = The inspection report is ready.
• Акт осмотра уже готов. = The inspection report is already ready / already completed.

Both are natural; уже just adds extra timing nuance.