Answer:c
Step-by-step explanation:82+78+81+89+79+92+87=588
And 588/7 =84
Answer:
Wonka bars=3 and Everlasting Gobstoppers=24
Step-by-step explanation:
let the wonka bars be X
and everlasting gobstoppers be Y
the objective is to
maximize 1.3x+3.2y=P
subject to constraints
natural sugar
4x+2y=60------1
sucrose
x+3y=75---------2
x>0, y>0
solving 1 and 2 simultaneously we have
4x+2y=60----1
x+3y=75------2
multiply equation 2 by 4 and equation 1 by 1 to eliminate x we have
4x+2y=60
4x+12y=300
-0-10y=-240
10y=240
y=240/10
y=24
put y=24 in equation 2 we have'
x+3y=75
x+3(24)=75
x+72=75
x=75-72
x=3
put x=3 and y=24 in the objective function we have
maximize 1.3x+3.2y=P
1.3(3)+3.2(24)=P
3.9+76.8=P
80.7=P
P=$80.9
(a)
<span>p'(25) = -1.179 millions of cells per cubic meter per meter.
The density of plankton cells in millions of cells per cubic meter is
decreasing at a rate of </span><span>1.179 millions of cells per cubic meter per meter.
____________
(b)
The volume is 3·dh, where dh is an infinitesimally small height.
Therefore, the amount of plankton is density * volume.
______
</span>
(c)
The total plankton cells are given by
As 0 ≤ f(h) ≤ u(h) for all h ≥ 0 (f and u are nonnegative), then:
Since ultimately
, that integral can have at most 105. Therefore, the maximum total amount is
____________
(d)
Your answer would be C and D, the domain for this function is all real numbers, and the range for this function is the set {-5}.
C is correct: The domain of a function is the amount of x values. For example, if you had a line going from an x value of 1 to an x value of 3, the domain would be {1<x<3}.
In this case, C is stating the domain of this function is all real numbers. This is true, because the straight line will continue for all values of x, so therefore the domain is all values of x, or all real numbers.
D is correct: The range is the exact opposite of a domain of a function. It is the number of y values the function covers.
In this case, D is stating the range is {-5}. This is correct, because the straight line only covers the y value of -5, so therefore that is the range.
A is therefore incorrect because the domain has already been established as all real numbers. B is incorrect because a horizontal line is a function, and one value of y can have multiple values of x. E is incorrect because the range has already been established as only one number.
Good luck!
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