Evaluate: 10 Σ¹0 4(1)n-1 = [?] Round to the nearest hundredth. Enter
1 answer:
Answer:
Using the formula of geometric progression, we get 5.33 after rounding off to the nearest hundredth.
Step-by-step explanation:
Concept: Given expression is means that is a series that starts from n=1 and ends at n=10. This will make a geometric progression. Use the formula of geometric progression to find the answer.
The answer, to the nearest hundredth is 5.33
For more explanation, refer the following link
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9514 1404 393
Answer:
see attached
Step-by-step explanation:
Most of this exercise is looking at different ways to identify the slope of the line. The first attachment shows the corresponding "run" (horizontal change) and "rise" (vertical change) between the marked points.
In your diagram, these values (run=1, rise=-3) are filled in 3 places. At the top, the changes are described in words. On the left, they are described as "rise" and "run" with numbers. At the bottom left, these same numbers are described by ∆y and ∆x.
The calculation at the right shows the differences between y (numerator) and x (denominator) coordinates. This is how you compute the slope from the coordinates of two points.
If you draw a line through the two points, you find it intersects the y-axis at y=4. This is the y-intercept that gets filled in at the bottom. (The y-intercept here is 1 left and 3 up from the point (1, 1).)
Answer:
Step-by-step explanation:
In order to find the equation to this line, we need to note that we see two points on this graph. Using these two points, we can use them to find the slope of the graph and use one to find the y-intercept.
We know that the slope of a line is defined by (change in y / change in x). Therefore, we can use our two points that we know - (-5, 2) and (3, 4) to find the slope.
The change in y is , and the change in x is
. Therefore, our slope is
.
Now that we know our slope, our equation in slope-intercept form looks something like this.
However, we still have b to solve for. We can solve for this by substituting a point we already know into the equation. Let's substitute (3, 4) inside.
So now we know that the y-intercept is . Plugging that into our equation finishes it off, leaving our final equation to be
.
Hope this helped!