Does anyone know how to Graph f(x)=51(2)^x

Answers

Answer 1
Answer: This is an exponential function.   

If x = 0, 2^x = 2^0 = 1.  The beginning value of 2^x is 1 and the beginning value of 51*2^x is 51.

Make a table and graph the points:

x        y=51*2^x                                point (x,y)
--       ---------------                            ---------------
0             51                                       (0,51)
2            51*2^2 = 51(4) = 204           (2,204)             and so on.

The graph shows up in both Quadrants I and II.  Its y-intercept is (0,51).  Its slope is always positive.

Answer 2
Answer: f(x) = 102^x

Start with x=0.
f(0) = 102^(0) which is 1. Your y intercept (the line in the middle) is 0.

Your first point is (0,1).
For the second point, try x=1.

f(1) = 102^1 which is 102.
You second point is (1,102). Rinse and repeat. ;)

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If you leave the tap on at home,750 quarts of water will run out every 50 second. How long will it takefor 660 quarts

Answers

It will take 44 seconds.


when you divide 750/50, you get 15, meaning that every second, you lose 15 quarts of water.  If you divide 660/15, you get 44.

The distance from the point of concurrency of the angle bisectors of a triangle to a point on the inscribed circle is the radius of the circle. True or false?

Answers

Hello,

True,

The point of concurrency of the angle bisectors of a triangle is the center of
the inscribed circle to the triangle.

Cedric work 33.25 hours he makes 13.25 per hour what is his total straight pay for the past two weeks

Answers

To calculate Cedric's total straight pay for the past two weeks, we need to multiply the number of hours he worked by his hourly wage.

Cedric worked 33.25 hours and earns $13.25 per hour.

To find his total straight pay, we multiply the number of hours worked by the hourly wage:

33.25 hours * $13.25/hour = $439.06

Therefore, Cedric's total straight pay for the past two weeks is $439.06.

What is the unit rate if 12 pairs of socks sell for 5.79?

Answers

Each one is about 48 cents / .48


12/5.79=1/x

12x=5.79(1)

12x=5.79

[divide 12 on both sides]

x=193/400(0.4825)

The structure most responsible for maintaining cell homeostasis in any given cell is the

Answers

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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a car rents for $30 per day plus 19 cents per mile. you are on a daily budget of $87 what mileage will allow you to stay within your budget (solution {m/≤_miles)

Answers

\boxed{y=30+0.19x}\n \n y=87\n \n 30+0.19x=87\n \n 0.19x=57\n \n x=(57)/(0.19)\n \n x=300 \ miles