Dependent: Ventus has a bag of chex mix and he spent his time counting and organizing the food. There are 13/31 white pieces of chex, 10/31 pretzels, and 8/31 cracker bites. he wants to see if he can grab two white chex pieces, one at a time without replacing the first attempt. He reaches his hand into the bag and gets a white chex piece and doesn't replace it. What is the probability that Ventus will grab another white chex?
independent: Cabel has a bowl of fruit and his sister won't let him take one and look at it for some strange reason/ however, she does tell him the probability of picking each fruit out of 12. 2/6 oranges, 3/12 apples, and 5/12 bananas. He must replace every fruit he picks. What is the probability of picking an orange?
Using function concepts, it is found that:
- a) The y-intercept is y = 2.5.
- b) The horizontal asymptote is x = 3.
- c) The function is decreasing.
- d) The domain is
and the range is 
. - e) The graph is given at the end of the answer.
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The given function is:
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Question a:
The y-intercept is g(0), thus:
The y-intercept is y = 2.5.
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Question b:
The horizontal asymptote is the limit of the function when x goes to infinity, if it exists.
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Thus, the horizontal asymptote is x = 3.
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Question c:
The limit of x going to infinity of the function is negative infinity, which means that the function is decreasing.
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Question d:
- Exponential function has no restrictions in the domain, so it is all real values, that is .
- From the limits in item c, the range is:
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The sketching of the graph is given appended at the end of this answer.
A similar problem is given at brainly.com/question/16533631
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The length of the wire is 81.5 meters.
<h3>What is Sine (Sinθ)?</h3>
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,
Sin(θ) = Perpendicular/Hypotenuse
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The hypotenuse is the longest side of the triangle.
The length of the tower is 80 meters, while the angle of elevation is 79°. Therefore, the length of the wire will be the hypotenuse of the triangle. Therefore, the length of the wire is,
Sin(θ) = Perpendicular/Hypotenuse
Sin(79°) = 80 meter/Length of the wire
Length of the wire = 81.4973 ≈ 81.5 meters
Hence, the length of the wire is 81.5 meters.
Learn more about Sine:
brainly.com/question/21286835
#SPJ1
Some objected to slavery on moral grounds, believing that it violated christian teachings , while others simply did not want to complete economically with slave-owners.
Ab^x
a: initial value
b: value remaining after depreciation per year (in percentage)
x: number of years that have passed
35000(0.95)^8= 23219.7151
Round to the nearest hundredth value:
About $23219.72
Let me know if you have any questions :)
