I feel stupid, but seriously, I used to be better at Science than Math. Now it's the other way around.

Bacterial DNA is (a) a closed loop (b) encased in a capsule (c) linear (d) found in the nucleus.

The glycocalyx helps bacteria (a) survive unfavorable environmental conditions (b) stick to surfaces (c) metabolize gaseous nitrogen (d) ingest food

To determine the answers to these questions, it's helpful to have a basic understanding of biology and microbiology. However, if you're feeling unsure, don't worry! I'll explain the concepts and guide you on how to find the answers.

For the first question:
Bacterial DNA refers to the genetic material present in bacteria. To answer whether it is a closed loop, encased in a capsule, linear, or found in the nucleus, we need to know some basic information about bacterial DNA.

1. Closed Loop: Bacterial DNA is known as a circular or closed loop because it is organized in a circular shape as a single piece of genetic material. This arrangement allows for efficient replication and genetic exchange in bacteria.

2. Encased in a Capsule: A bacterial capsule is a protective layer outside the cell wall that some bacteria possess. However, it does not directly relate to the organization of bacterial DNA.

With the above information in mind, we can eliminate option (b) "encased in a capsule" since it concerns the external structure rather than the internal organization of DNA.

3. Linear: In general, linear DNA is found in eukaryotic organisms like plants, animals, and humans, which have a well-defined nucleus. However, bacteria are prokaryotic organisms, so their DNA is not linear.

4. Found in the Nucleus: Eukaryotic organisms possess a membrane-bound nucleus where their genetic material is located. Prokaryotes, such as bacteria, lack a true nucleus, so their DNA is not found in the nucleus.

Based on this information, we can conclude that the correct answer is (a) a closed loop, as bacterial DNA is organized in a circular shape.

Now let's move on to the second question:
The glycocalyx is a layer that surrounds the outer surface of some bacterial cells. It is primarily composed of polysaccharides and helps bacteria perform various functions. To determine the answer, we can consider the provided options:

1. Survive unfavorable environmental conditions: The glycocalyx can help bacteria survive harsh environments by providing a protective barrier against desiccation, immune responses, and chemical stresses.

2. Stick to surfaces: Bacterial cells use the glycocalyx to adhere to surfaces, including tissues, medical devices, or objects like rocks or pipes.

3. Metabolize gaseous nitrogen: The metabolic process of gaseous nitrogen fixation in bacteria involves specific enzymes and cellular structures which are not directly related to the glycocalyx.

4. Ingest food: Nutrient uptake in bacteria occurs primarily through various transport mechanisms in the cell membrane, which are not directly associated with the glycocalyx.

Considering the above information, we can conclude that the correct answer is (a) survive unfavorable environmental conditions and (b) stick to surfaces since both functions are attributed to the glycocalyx in bacteria.

Don't feel stupid for not knowing everything! Science and math can be complex subjects that require practice and learning. Keep asking questions and seeking understanding, and you'll continue to improve.