Answer:
The domain that makes sense for this function is all values greater than or equal to 0.
Step-by-step explanation:
A ball is thrown into the air from a height of 4 feet at time <em>t</em> = 0. It is modeled by the function:
The domain of the function is time <em>t</em>. The range of the function is the ball's height in the air <em>h</em>.
Since time is our domain, we must restrict our domain to values equal to or greater than 0 since time cannot be negative.
Therefore, the domain that makes sense for this function is all values greater than or equal to 0.
In interval notation, this is:
And as an inequality:
It is C because 4 pi r^2 is the surface area equation. 4 times 6 squared= 144. 144pi = surface area.
Answer:
a. Using the inverse demand for each, solve for the social marginal benefit curve.
Bob: Scott:
Q = 40-P Q = 30 – P
(-1)Q – 40 = -P(-1) (-1)Q – 30 = -2P
40 – Q = P 30 – Q = 2P
((30 – Q) = 2P)/2
15 – 1/2Q = P
P = 15 – 1/2Q + 40 – Q
P = 55 – 1.5Q
Scott is no longer willing to pay anything when Q >30
Social Marginal Benefit curve: Q = 40 - P
b. What is the socially efficient amount of plowing?
SMB = SMC
35 = 55 – 1.5Q
Subtract from both sides and rearrange
1.5Q = 20
Q = 13.33
c. Suppose the input costs of plowing fell and marginal costs of plowing were now constant at $5.
55 – 1.5Q = 5
55-5 = 1.5Q
50 = 1.5Q
33.3 = Q*
Answer:
m<J = 83
m<L = 97
m<M = 97
Step-by-step explanation:
The corners across (left to right/right to left) from each other of a trapezoid are always equal.
So, it would be like this:
Angle J is equal to angle K
Angle M is equal to angle L
See how they are across from each other?
Therefore, Angle J will be 83 degrees.
To find the other 2 angles subtract 83 from 180
180 - 83 = 97
So, Angle L and M are 97 degrees.
To check your answer you can add up all the corners and they should equal 360 degrees:
83 + 83 + 97 + 97 = 360
360 = 360
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<em>Hope this helps!!</em>
<em>- Kay :)</em>
Since each towel costs the same amount, you need to divide the total cost by the amount purchased. t = $39.60/8 towels. Solved, your answer would be t = $4.95 per towel.
