Answer: Option A - 8/17
Cosine is Adjacent/Hypotenuse.
So B’s adjacent measure is 8, and the hypotenuse measure is 17. Thus, 8/17 is your answer.
Answer:
Approximation f(25.3)=5.03 (real value=5.0299)
The approximation can be written as f(x)=0.1x+2.5
Step-by-step explanation:
We have to approximate 
with a linear function.
To approximate a function, we can use the Taylor series.
The point a should be a point where the value of f(a) is known or easy to calculate.
In this case, the appropiate value for a is a=25.
Then we calculate the Taylor series with a number of terms needed to make a linear estimation.
The value of f'(a) needs the first derivate:
Then
We evaluate for x=25.3
If we rearrange the approximation to be in the form mx+b we have:
Then, m=0.1 and b=2.5.
Answer:
T = 2w + 37
Step-by-step explanation:
Let T represent the total amount of videos Rachel has after w weeks
Rachel already owns 37 videos
She purchases 2 more each week
Therefore, after w weeks, the total amount of videos Rachel has can be represented by the expression:
2w + 37
Then the total after w weeks can be modeled by the equation:
T = 2w + 37
Set up the two events
A = first card is a 9
B = second card is a 9
The probability for event A is
P(A) = 4/52
because there are four "9" cards out of 52 total
If event A happens first, and B follows, then the probability is
P(B|A) = 3/51
because there are 3 nines left over out of 52-1 = 51 total left over
No replacement has been made
The notation P(B|A) means "probability of event B given that event A has happened"
Multiply the probabilities
P(A and B) = P(A)*P(B|A)
P(A and B) = (4/52)*(3/51)
P(A and B) = (4*3)/(52*51)
P(A and B) = 12/2652
P(A and B) = 1/221
P(A and B) = 0.00452488687782
Rounded to 4 decimal places, the approximate answer is 0.0045
The exact answer as a fraction is 1/221
I want to help you but your question is missing multiple variables. To answer the question you need to know how much Kareem is making. Whether its a certain amount per task or per day or over a certain amount of time. And it depends on how long she has to save up for camp you know when camp starts and if she has enough time to have enough money saved up. You can message me if you have anymore questions about this. Hope this was helpful.
