If f(x) = x(2x – 1) and g(x) = 2x – 1, find f(x)/g(x).

Jarin covered 0.125 miles per minute of jogging

How many minutes make an hour?

The fact  that 60 minus makes one  hour means that the miles per minute can be determined as the distance covered in one hour divided by the number of numbers in an hour.

In other words, we can first of all, determine the miles covered in one hour as 7.5 miles divided by 1 hour, which gives 7.5 miles, in essence, the miles covered per minute is ascertained by changing the time from hours to minutes.

miles per minute covered by Jog=miles covered in one hour/one hour in minutes

miles covered in one hour=7.5 miles

one hour in minutes=60 min

miles per minute covered by Jog=7.5 miles/60 min

miles per minute covered by Jog=0.125 miles/minute

Jarin covered a mile of 0.125 every minute that he jogged

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The pair which have the same radicals is the pair of like radicals which are 7√ 3 and 9√ 3 therefore, option (C) will be correct.

What is a number system?

The number system is a way to represent or express numbers.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Given four radicals pair are,

2√ 3 and 2√ 5

5√ 6 and 6√ 5

7√ 3 and 9√ 3

9√ 2 and -9√ 3

The only pair which have the same radical value (√ 3) is 7√ 3 and 9√ 3

Hence "The pair which have the same radicals is the pair of like radicals which are 7√ 3 and 9√ 3".

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Answer: the plasma membrane

Step-by-step explanation: It controls what enters and exits the cell based on what the cell requires to function and live. It functions as a boundary separating the external environment from the internal environment.

Final answer:

The main structure responsible for maintaining cell homeostasis is the cell membrane, which is selectively permeable, thus regulating molecules' movement across the membrane. The cytoplasm and nucleus also contribute to maintaining homeostasis.

Explanation:

The structure most responsible for maintaining cell homeostasis in any given cell is mainly the cell membrane. The cell membrane plays a key role in managing homeostasis through becoming selectively permeable. This means the cell membrane allows certain molecules to pass through via the constant movement of molecules across it, yet it restricts others. This selective process helps in maintaining the internal balance of the cell, ensuring that the essential molecules necessary for cellular processes are kept inside, and unnecessary or harmful molecules are kept out.

Besides the cell membrane, the cytoplasm and the nucleus also play parts in cellular homeostasis. The cytoplasm houses organelles and chemicals necessary for various metabolic reactions and protein syntheses. The nucleus, acting as the control center of the cell, holds the genetic material that dictates the cell's function and structure.

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Answer:

The correct answer is D. Brooke’s class will have a pizza party by the law of detachment.

Step-by-step explanation:

By definition, the lay of detachment establishes if these two statements are true:

• If p, then q.

• p.

Then:

• q is true.

In this case:

If your class wins the contest, then the class will receive a pizza party.

P: If your class wins the contest.

Q: The class will receive a pizza party.

Using P for Brooke's class:

P: If Brooke’s class wins the contest.

Q: Brooke’s class will have a pizza party.