The exact value of the y in the similar right triangle is 2.2360679775 units
<h3 /><h3>How to find the side of a triangle?</h3>
The triangles are similar.
Similar triangles have corresponding sides of equal ratio.
The corresponding angles of similar triangle are equal.
Therefore, using similar ratio,
y / 5 = 1 / y
cross multiply
y × y = 5 × 1
y² = 5
square root both sides
y = √5
Therefore,
y = 2.2360679775 units
learn more on triangles here: brainly.com/question/2773823
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A) Thé graphs f exponential functions eventually exceed the graphs of linear functions but not quadratic functions.
Answer:
f(x + 1) = -(3/4)*f(x)
(second option)
Step-by-step explanation:
Here we have the sequence:
64, -48, 36, -27, ...
First, we can notice two things:
Each term has a different sign than the previous term, so the relation is something like:
f(x + 1) = -k*f(x)
Now to find the value of k, we can just replace some of the values (for example, the first and the second one)
-48 = -k*64
48/64 = k
3/4 = k
Now, if we use any pair of consecutive terms we should get the same value of k, now let's try to use the second and third terms to see if we get the same value of k:
36 = -k*(-48)
36 = k*48
36/48 = k
3/4 = k
We got the same value, so we can conclude that k = (3/4)
Then the relation that describes this sequence is:
f(x + 1) = -(3/4)*f(x)
Answer:
just by looking at the graph you can see that the y int is one, so that eliminates two answers already. Then the slope is rise over run. (best thing to remember in math. rise over run) so pick two points. (0, 1) and (4,0) were the first ones i saw. to get from those two points you go from (0,1) over 4 (thats your run) and from there down 1 (thats your rise) to get to (0,4). You would then do rise over run (and because your rise goes down its negative) to get -1/4 as your slope. The answer is slope= -1/4, Y intercept = 1
Using the given discrete probability distribution, it is found that the probability that a randomly selected student has a grade higher than a C is given by:
P(X > 2).
<h3>What is the discrete probability distribution for the grade?</h3>
From the table, it is given by:
- P(X = F) = P(X = 0) = 0.04.
- P(X = D) = P(X = 1) = 0.05.
- P(X = C) = P(X = 2) = 0.17.
- P(X = B) = P(X = 3) = 0.31.
- P(X = A) = P(X = 4) = 0.43.
Grades A and B are greater than C, hence the probability of getting a grade higher than C is given by:
P(X > C) = P(X = A) + P(X = B) = P(X = 3) + P(X = 4) = P(X > 2).
More can be learned about discrete probability distributions at brainly.com/question/24855677
