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Ahat [919]
2 years ago
5

Given these facts, determine how many cans of paint you would need to buy to paint 2 walls.

Mathematics
1 answer:
Tatiana [17]2 years ago
5 0

Answer:

3 cans

Step-by-step explanation:

A = lw

a = 20 x 8 = 160ft^{2}

a = 40 x 8 = 320 ft^{2}

Together this is 480 ft^{2}

I would need 3 cans.

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#2 The formula is V = s^{3} where s is the side.

Substitute 729 in V since that is the volume.
729 = s^{3}

Take the cube root and you will get 9.

So the formula is V = s^{3} and the side is 9. 
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Please help I don’t know if I’m doing this correctly
solmaris [256]

Answers:

  1. Exponential and increasing
  2. Exponential and decreasing
  3. Linear and decreasing
  4. Linear and increasing
  5. Exponential and increasing

=========================================================

Explanation:

Problems 1, 2, and 5 are exponential functions of the form y = a(b)^x where b is the base of the exponent and 'a' is the starting term (when x=0).

If 0 < b < 1, then the exponential function decreases or decays. Perhaps a classic example would be to study how a certain element decays into something else. The exponential curve goes downhill when moving to the right.

If b > 1, then we have exponential growth or increase. Population models could be one example; though keep in mind that there is a carrying capacity at some point. The exponential curve goes uphill when moving to the right.

In problems 1 and 5, we have b = 2 and b = 1.1 respectively. We can see b > 1 leads to exponential growth. I recommend making either a graph or table of values to see what's going on.

Meanwhile, problem 2 has b = 0.8 to represent exponential decay of 20%. It loses 20% of its value each time x increases by 1.

---------------------

Problems 3 and 4 are linear functions of the form y = mx+b

m = slope

b = y intercept

This b value is not to be confused with the previously mentioned b value used with exponential functions. They're two different things. Unfortunately letters tend to get reused.

If m is positive, then the linear function is said to be increasing. The line goes uphill when moving to the right.

On the other hand if m is negative, then we go downhill while moving to the right. This line is decreasing.

Problem 3 has a negative slope, so it is decreasing. Problem 4 has a positive slope which is increasing.

7 0
1 year ago
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