Answer:
Approximately
n = 21 years
Step-by-step explanation:
Original height of the tree = 4 1/2 feet
Final height of the tree = 40 feet
Common difference = 1 3/4 feet per year
The data shows the question is an arithmetic progression
Tn = a + (n-1) d
Tn = 40
a = 4 1/2
d = 1 3/4
n = ?
Tn = a + (n-1) d
40 = 4 1/2 + ( n - 1) 1 3/4
40 = 9/2 + (n - 1) 7/4
40 = 9/2 + 7/4n - 7/4
40 = 18-7/4 + 7/4n
40 = 11/4 + 7/4n
40 - 11/4 = 7/4n
160-11/4 = 7/4n
149/4 = 7/4n
Divide both sides by 7/4
n = 149/4 ÷ 7/4
= 149/4× 4/7
= 149/7
n = 21.29 years
Approximately
n = 21 years
For f(x) = cos(x) we have:
- midline = 0
- amplitude = 1
- period = 2π
- graph = bottom graph on the second image.
<h3>
What are the midline, amplitude, period, and graph of the function f(x)=cos(x)?</h3>
For a general cosine function, we have:
f(x) = A*cos(kx + p) + M
Where:
- A is the amplitude.
- k is the frequency.
- p is the phase.
- M is the midline.
For the function:
f(x) = cos(x).
We can see that:
A = 1, M = 0, k = 1, p = 0.
So, the amplitude is equal to 1, and the midline is equal to zero.
Now we also need to get the period. By definition of the trigonometric functions sin(x) and cos(x), we know that the period of the two is equal to 2π.
Finally, we need to identify the graph of cos(x).
Notice that:
f(0) = cos(0) = 1.
So the graph of f(x) = cos(x) is the graph with an y-intercept equal to 1. Which is the bottom graph on the second image.
If you want to learn more about cosine functions:
brainly.com/question/17075439
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The correct answer would be (C)
Answer: The equation for the two given points is y=x+b
Step-by-step explanation:
Step 1. First find the slope: 6-7/2-3 = -1/-1=1. The slope is just 1, or x. So for now, the equation is y=x+b
Step 2. We must find the y-intercept, or B. We can plug in any points to find b. Let's use (2, 6) (but you can use (3, 7) too, it doesn't matter) Plug 2 in for x, since 2 represents x, and then do the same for y. ---> 6=2+b.
Step 3. Simplify. 6=2+b. 6-2=2-2+b ---> b=4. Subtract both sides by 2 to get B.
The equation for the two given points is y=x+b
Hope this helps.
Answer:
the circumference is 37.7 cm
