Given that the recursive formula is:
an=an-1+7
first term is
a1=17
the second term will be:
a2=a(2-1)+7
a2=a1+7
a2=17+7
a2=24
To evaluate for the explicit formula we use the formula:
an=a+d(n-1)
where
a=first term
d=common difference
from the calculations above:
d=24-17=7
thus the explicit formula will be:
an=17+7(n-1)
an=17+7n-7
an=7n+17-7
an=7n+10
Answer: B] an=7n+10
Answer:
You have the formula wrong.
The volume of a cylinder = PI * radius^2 * height
To find the height, the formula is:
height = volume / (PI*radius^2)
I'm assuming the radius = .6 meters so
height = 720 / (3.14159265 * .6^2)
height = 720 / 1.130973354
height = 636.61977 meters
Tp check your answer use this calculator: https://www.1728.org/diam.htm
Step-by-step explanation:
Answer:
y= 40° , z = 90°
Step-by-step explanation:
Angle z is a right angle and is therefore 90°
Angles in a triangle add up to 180°
So we can work out y by making an equation:
![180 = 90 +50 + y](https://tex.z-dn.net/?f=180%20%3D%2090%20%2B50%20%2B%20y)
![y= 180-50-90](https://tex.z-dn.net/?f=y%3D%20180-50-90)
![y=40](https://tex.z-dn.net/?f=y%3D40)
Therefore y =40°
There are no algebraic methods for finding solutions to a general mix of exponential and polynomial terms. A graphing calculator can be helpful.
This equation has 3 real solutions, approximately ...
x ∈ {-0.802246431546, 1.51677641228, 7.17475582739}
_____
In the folder "iteration for solutions" is an equation for Newton's method iteration, essentially, ...
g(x) = x -f(x)/f'(x)
where f(x) is defined as shown in the picture.
Many graphing calculators can compute a numerical derivative, so you can essentially write the formula in this form without having to do the derivative-taking yourself. This calculator is nicely interactive, so the iteration result is produced at the same time the argument for g(x) is entered. Essentially, you write the answer by copying the answer using the 4-digit zero-crossing values shown on the graph as the iteration starting point.
Answer: anser is the last one y-2=1/2(x-(7))
Step-by-step explanation: