Step-by-step explanation:
5x-12=13
5x -12 =13
+12=+12
<u>5x</u>= <u>25</u>
5 =. 5
x=5
Answer:
the least integer for n is 2
Step-by-step explanation:
We are given;
f(x) = ln(1+x)
centered at x=0
Pn(0.2)
Error < 0.01
We will use the format;
[[Max(f^(n+1) (c))]/(n + 1)!] × 0.2^(n+1) < 0.01
So;
f(x) = ln(1+x)
First derivative: f'(x) = 1/(x + 1) < 0! = 1
2nd derivative: f"(x) = -1/(x + 1)² < 1! = 1
3rd derivative: f"'(x) = 2/(x + 1)³ < 2! = 2
4th derivative: f""(x) = -6/(x + 1)⁴ < 3! = 6
This follows that;
Max|f^(n+1) (c)| < n!
Thus, error is;
(n!/(n + 1)!) × 0.2^(n + 1) < 0.01
This gives;
(1/(n + 1)) × 0.2^(n + 1) < 0.01
Let's try n = 1
(1/(1 + 1)) × 0.2^(1 + 1) = 0.02
This is greater than 0.01 and so it will not work.
Let's try n = 2
(1/(2 + 1)) × 0.2^(2 + 1) = 0.00267
This is less than 0.01.
So,the least integer for n is 2
Answer:
Check Explanation and the attached image.
Step-by-step explanation:
The histogram of the set of data presented is presented in the attached image to.this solution
The histogram represents data by indicating the frequency of distribution on the y-axis and the sets of variables indicated on the x-axis.
With the constellations named numbers 0 to 6, the frequency of each constellation, that is, the number of stars in each constellation corresponds to the height of the bar representing each constellation.
Hope this Helps!!!
Answer:
y = 1.1x +4.46
y = 129.86 for x = 114
Step-by-step explanation:
The two-point form of the the equation for a line is useful for this.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (7.98 -2.7)/(3.2 -(-1.6))(x -(-1.6)) + 2.7
y = 5.28/4.8(x +1.6) + 2.7
y = 1.1x +1.76 +2.7
y = 1.1x +4.46
__
When x=114, the value of y is ...
y = 1.1(114) +4.46
y = 129.86
Answer:
D. 
Step-by-step explanation:
We graph the points on the graph. The graph is attached.
Let us take two points (1, 14) and (15, 1), and calculate the slope 
between them <em>(we choose these points because the line passing through them will be the best fit for all points) </em>
Thus we have the equation
Let us now calculate 
from the point 
So the equation we get is
Let us now turn to the choices given and see which choice is closest to our equation: we see that choice D. is the closest one, so we pick it.
