Answer: 16/35, decimal form: 0.45
Step-by-step explanation: (3/5-1/7) =3/5-1/7=3/5+-1/7=21/35+-(5)/35= 21 +(-5)/35= <em><u>16/35, decimal form: 0.45</u></em>
Answer:
a) 
b) 
c)
Step-by-step explanation:
a)
We know that Revenue is our total income and cost is our total cost. Thus, profit is what's left after cost is subtracted from Income (revenue). Thus, we can say:
P(x) = R(x) - C(x)
Finding Profit Function (P(x)):
This is the profit function.
b)
The marginal profit is the profit earned when ONE ADDITIONAL UNIT of the product is sold. This is basically the rate of change of profit per unit. We find this by finding the DERIVATIVE of the Profit Function.
Remember the power rule for differentiation shown below:
Now, we differentiate the profit function to get the marginal profit function (P'):
This is the marginal profit function , P'.
c)
We need to find P'(4000) and P'(9500). So we basically put "4000" and "9500" in the marginal profit function's "x". The value is shown below:
and
Answer:
Step-by-step explanation:
Given that :
The enormous sinkhole that appeared in the middle of Guatemalan neighborhood in the year 2010 swallowed a three story building above it and the sinkhole has an estimated depth of about 100 feet
How much material is needed to fill the sinkhole?
Then , the material needed to fill the sinkhole will be dependent on the volume of the sinkhole.
Determine what information is needed to answer the question.
The information that is needed to answer this question are:
the base area of the sinkhole will be required; &
the height should also be known
if the base area is determined then we can proceed to determine how much material is needed to be calculated.
Do you think your estimate is more likely to be too high or too low
No, the estimate is not likely to be too high or too low rather the estimate of the material required will be almost equal to the volume of the sinkhole, but that does not implies that it will be exactly the same since the sinkhole is not uniform and regular in shape.
Depends of the size of the quadrilateral in relation to the circle, but otherwise, yes
Answer:
1st Blank: 5
2nd Blank: 3
3rd Blank: -8
4th Blank: -8
5th Blank: 12
Step-by-step explanation:
15x+35y=-100
-15x+9y=-252
___________
44y=-352
___ ___
44 44
y=-8
3x+7(-8)=-20
3x-56=-20
+56 +56
__________
3x=36
__ __
3 3
x=12
