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3 years ago

Which of these values for p and a will cause the function f(x)=Pa^x to be an exponential growth function?

Mathematics

2 answers:

Lera25 [3.4K]3 years ago

8 0

Grouth is when a>1
if a=1, theer is no change
if a<1, it is exponetial decay

B is answer

finlep [7]3 years ago

4 0

The correct answer is:

B.P=1/4;a=5

Explanation:

In order to represent exponential growth, a must be a positive number larger than 1. If it is a fraction less than 1, we are basically taking a percent (less than 100) of the number; this makes it smaller, which would be decay. If a is a negative, the values would alternate between positive and negative.

The only option where a is a positive number larger than 1 is P=1/4 and a=5.

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3 years ago

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3 years ago

Find the lateral area of the prism. 4cm 3cm 6cm 5cm Lateral Area = [?]cm2

kolbaska11 [484]

Answer:

The lateral surface area of a prism is the sum of the surface areas of the sides of the prism.

Since the bases of the prism are triangles, there are three sides. The area of each lateral is the product of a side of the triangle times the height of the prism.

We can express this as Lateral Surface Area LSA = (s1xh) + (s2xh) + (s3+h), where "s1, s2, s3" are the lengths of the sides of the triangle and "h" is the height of the prism.

We can factor out "h" to get LSA = hx(s1+s2+s3) where the factor "s1+s2+s3" is the perimeter of the triangle.

Solving for "h", we get h = LSA / (s1+s2+s3)

For your specific problem, h = 300 / (4 + 5 + 6) = 300 / 15 = 20

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3 years ago

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