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klio [65]
3 years ago
10

Determine whether the given relation is an implicit solution to the given differential equation. assume that y is a function of

x.
Mathematics
1 answer:
Xelga [282]3 years ago
6 0
Differentiate:x^2 + y^2 = 4 
You get this:2x + 2yy' = 0 
bring the x variable on the other side:2yy' = -2x 
Now divide 2y to leave y' by itself:y' = -2x/2y 
Answer: y' = -x/y 
The given relation is not a implicit solution to the given differential equation.
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A baseball team has 13 players; how many possible batting orders can the coach make if there are 9 players in the batting lineup
mote1985 [20]
The answer to this question would be: <span>C. 259,459,200 
</span>To answer this question, you will need to understand how to use permutation in probability. In this question, there will be 9 people out of 13 people that make an order for batting. In this case, if same people used but the batting order is different that could be considered different ways. Then the answer would be: P(13,9)= 13! / (13-9)!= 13!/4!= <span>259,459,200 </span>
4 0
3 years ago
Read 2 more answers
Brach and Larue is a home goods store chain, and it is about to introduce a new convection oven that’s expected to sell very wel
zvonat [6]

Answer:

\$12,465

Step-by-step explanation:

The functions for cost and revenue are given below:

Projected \:Revenue,R(x)=  -13.85x^2 + 1660x\\$Projected Cost, C(x)=55400 -279x\\Projected Profit = Revenue-Cost=R(x)-C(x)\\=-13.85x^2 + 1660x-(55400 -279x)\\=-13.85x^2 + 1660x-55400 +279x\\P(x)=-13.85x^2 + 1939x-55400

The profit will be maximized at its <u>line of symmetry,</u>x=-\dfrac{b}{2a}<u />

From P(x), a=-13.85, b=1939

<u>Line of symmetry,</u>

<u />x=-\dfrac{b}{2a}=-\dfrac{1939}{2(-13.85)}=70<u />

<u>The maximum profit that can be made will occur when x=70</u>

<u />P(x)=-13.85x^2 + 1939x-55400\\P(70)=-13.85(70)^2 + 1939(70)-55400\\=\$12,465<u />

The maximum profit that can be made form the sales of the oven is $12,465.

6 0
3 years ago
How many different outcomes are possible for seven people seated in chairs arranged in a line?
Sveta_85 [38]
Person A could have any SIX dif. people sitting to her left. the person on A's left can have FIVE dif.people sit on his left. that person could have any of the remaining FOUR to her left and so on to the last person. so, there are 6x5x4x3x2x1= 720 possible arrangments. 
6 0
3 years ago
Angela needs $60 to buy a series of books, she has saved $24 dollars and plans to work as a babysitter to earn 4 dollars per hou
Citrus2011 [14]
60=4x+24
-24. -24
36=4x
36÷4
x= 9
she needs babysit 9 more hours to have enough for the bool series
7 0
3 years ago
Find one length of the square (7x-3) 3(x+1)
Svetllana [295]

Area of a square = Side × Side

Side = 7x-3

Area of the square = (7x-3) × (7x-3)

= 7x(7x-3) -3(7x-3)

= 49x^2 -21x -21x +9

=49x^2 -42x +9

6 0
3 years ago
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