Answer: (a) y = 250(1.8)ˣ (b) 89,262 bacteria
<u>Step-by-step explanation:</u>
Use the exponential growth formula y = a(b)ˣ where
- a = Initial Value
- b = 1 + r (for growth) or 1 - r for decay
- r = rate (convert percent to a decimal)
a) Given: a = 250, r = 80% (.80) → b = 1.8
y = 250(1.8)ˣ
b) Given: x = 10
y = 250(1.8)¹⁰
y = 89,261.68 = 89,262 (rounded to the nearest whole number)
Answer:
X = 40
Step-by-step explanation:
The number of ways when the choice is not relevant is 1716
<h3>How to determine the number of ways?</h3>
The number of letters are:
Letter, n = 13
The letter to choose are:
r = 6
<u>Relevant choice</u>
When the choice is relevant, we have:

This gives

Evaluate
Ways = 241235520
Hence, the number of ways when the choice is relevant is 1235520
<u>Not relevant choice</u>
When the choice is not relevant, we have:

This gives

Evaluate
Ways = 1716
Hence, the number of ways when the choice is not relevant is 1716
Read more about combination at:
brainly.com/question/11732255
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What is the system? (Is there supposed to be an image?)
There is this specific ratio for 45-45-90 triangles where the length of the hypotenuse is radical 2 times as long as a leg. With this in mind, we can create an equation where the length of one leg is represented with the variable x.
x

= 10
divide both sides by
x = 10

/
x = 10

/2
x = 5
The length of one leg is 5