Since r = h/6 ; r' = h'/6; = 5/6
<span><span>V′</span>=<span><span>10(2)(5)(5) / </span><span>3(3)(6)</span></span>pi+ <span><span>5⋅<span>5^2 / </span></span><span>3⋅<span>3^2</span></span></span> pi</span>
<span><span>V′</span>=<span>250 / 27</span>pi+<span>125 / 27</span>pi</span>
<span><span>V′</span>=<span>375 / 27</span>pi;<span> at the given moment specified
</span></span>
Answer:
40 cups
Step-by-step explanation:
7 part nuts and 2 parts M&M makes up 1 trail mix
7 and 2 part = 9 parts in total
There are 180 cups in total, so each part would be:
180/9 = 20 cups = 1 part
Now, we know there are 2 parts M&Ms and there are 20 cups in a part, so:
M&Ms required = 2 * 20 = 40 cups
The slope of the line may be calculated by using the formula:
m = (y2 - y1)/(x2 - x1), where m is the slope, and (x1, y1) and (x2, y2) are two points on the line.
Using the points (0, -1) and (2, 4) shown, we can substitute these values into the formula above to get:
m = (y2 - y1)/(x2 - x1)
m = (4 - (-1))/(2 - 0)
m = 5/2
Therefor, the slope is 5/2.
Another way to think about the slope is in terms of rise/run, that is for a given interval that the x-value 'runs', by how much does the y value 'rise'?
Here, if we take the same two points (0, -1) and (2, 4), we can see that the x-value has moved 2 units, and the y-value has increased by 5 units. Thus:
if slope = rise/run, then the slope would be 5/2
Note that you should be careful when using this method if the y-value decreases as x increases; in this scenario, the 'rise' would be a negative value rather than a positive one
Answer:
4×^2-4×-3=0factor(2×+1)
(2×-3)=0 2×+1=0 2+-3=0 2×=-1
2×=3 ×=-1/2 ×=3/2
×=1/2, 3/2
Answer: $55.75
Step-by-step explanation:
6 x 8.50 = $43.00
43.00 + 12.75 = $55.75
Hope this helps!