Answer:
20,176,803
Step-by-step explanation:
This geometric series has a first term of 3 and a common ratio of 21/3 = 7. The formula for the sum of n terms of a series with first term a1 and common ratio r is ...
Sn = a1·(r^n -1)/(r -1)
For a1=3, n=9, and r=7, the sum is ...
S9 = 3·(7^9 -1)/(7 -1) = 3·40353606/6 = 20,176,803
The sum of the first 9 terms is 20,176,803.
_____
The first 9 terms are ...
3 +21 +147 +1029 +7203 +
50,421 +352,947 +2,470,629 +17,294,403
The triangle that must appear to be obtuse mmust have one of its angle to be greater than 90 but less than 180 degrees:
<h3>What are obtuse triangles?</h3>
Obtuse triangles are triangles that has one of theor angles to greater than 90 degrees.
Most obtuse triangles has two acute angles (angles less than 90 degrees) and a obtuse angle (angles between 90 and 180 degrees)
Hence the triangle that must appear to be obtuse mmust have one of its angle to be greater than 90 but less than 180 degrees:
Learn more on obtuse triangle here: brainly.com/question/3250447
The answer is b, 5x^2 + 24x + 1
Answer:
1
-------------
(x+2)(x-4)
Step-by-step explanation:
x+4 x+3
------------- * --------------
x^2+5x+6 x^2 -16
Factor
x+4 x+3
------------- * --------------
(x+3)(x+2) (x+4)(x-4)
Cancel like terms
1 1
------------- * --------------
(1)(x+2) (1)(x-4)
1
------------- x cannot equal -3, -4, -2, 4
(x+2)(x-4)
The correlation coefficient is a number that indicates the direction
and closeness of points of a line of best of fit.
So it tells us two things.
It tells us the direction of the line of best fit
and it tells us the closeness of the points.
Usually, anything between -0.9 and -0.6 has a moderate negative correlation. If you look at this on a graph, you will notice that the points definitely resemble a line so we say it's moderate.
It will be a negative correlation because the slope is negative.