Lol this is what I am doing to earn points
Answer:
(a) 35.41166
(b) 29.15324
(c) 37.6595
(d) 56.70206
(e) From 1991 to 1998 the change in amount of money circulation decreases and from 1998 to 2011 the change in amount of money circulation increases.
Step-by-step explanation:
The given function is
where t represents the number of years since 1990 and M(t) is in billions of dollars.
Differentiate with respect to t.
.... (1)
M'(t) represents the rate of change of money in circulation, where t represents the number of years since 1990.
(a) For 1991, substitute t=1 in equation (1).
(b) For 1998, substitute t=8 in equation (1).
(c) For 2005, substitute t=15 in equation (1).
(d) For 2011, substitute t=21 in equation (1).
(e) From 1991 to 1998 the change in amount of money circulation decreases and from 1998 to 2011 the change in amount of money circulation increases.
Answer:
P (not green) = 17/20
Step-by-step explanation:
Given the following number of marbles:
Green : 3
Yellow : 4
Blue : 5
Pink :8
Total number of marbles = 3 + 4 + 5 + 8 = 20 marbles
if we draw 1 marble at random from the bag, the probability that the marble IS green,
P(Green) = 3/20
The probability that the marble is NOT green is,
P(Not Green)
= 1 - P(Green)
= 1 - 3/20
= 17/20
Answer:
D. 569.39 m^3
Step-by-step explanation:
First, we can split up the solid into two shapes: a cone and a cylinder.
Then we can find the volume of the cone
The formula is v= pi r^2 h/3
We know the radius is four and so is the height.
Plug it in and we get 67.02 m^3
Next is the cylinder
Formula is pi r^2 h
We know that the radius is 4 and the height is 10
Plus it in and we get 502.65 m^3
We add 67.02 and 502.65 together to get the total volume.
Answer is D. 569.39 m^3
Mine is a bit higher than D since I used a pi button instead of 3.14
We are given 2 sides 18.7, 16.1 and a NON-included angle.
We have to calculate the altitude of the triangle.
altitude = 18.7 * sine (35)
altitude = 18.7 * 0.57358
altitude =
<span>
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<span>
10.725946
</span>
</span>
</span>
In this case, side c is greater than the altitude and is less than side a so 2 two triangles will be formed.
Source:
http://www.1728.org/trigssa.htm