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ozzi
3 years ago
10

PLZ HELP find the midpoint of the line segement with the given endpoints 1) (0,-2) , (0,-8)

Mathematics
1 answer:
kotykmax [81]3 years ago
4 0
The answer is (0,-5)
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A pack of 100 wolves on a remote island are suffering from a new disease. Let W(t) be the number of sick wolves at time t. Suppo
Olin [163]

Answer:

b)\,\frac{dW}{dt}=kt\sqrt{W}, \,W(0)=10

Step-by-step explanation:

Initial number of sick wolves = W(0) = 10

At time t, no. of sick wolves = W(t)

Given that disease is spreading at a rate proportional to the product of the time elapsed and the square root of the number of sick wolves:

\frac{dW}{dt}=kt\sqrt{W}

Mathematical model of above case is:

\frac{dW}{dt}=kt\sqrt{W}, \,W(0)=10

5 0
3 years ago
Is the set of positive intergers the same as nonnegative integers?
algol13
No there totally differnt 
8 0
3 years ago
Find all points on the portion of the plane x+y+z=5 in the first octant at which f(x, y, z) = xy2z2 has a maximum value.
irina1246 [14]
Lagrange multipliers:

L(x,y,z,\lambda)=xy^2z^2+\lambda(x+y+z-5)

L_x=y^2z^2+\lambda=0
L_y=2xyz^2+\lambda=0
L_z=2xy^2z+\lambda=0
L_\lambda=x+y+z-5=0

\lambda=-y^2z^2=-2xyz^2=-2xy^2z

-y^2z^2=-2xyz^2\implies y=2x (if y,z\neq0)

-y^2z^2=-2xy^2z\implies z=2x (if y,z\neq0)

-2xyz^2=-2xy^2z\implies z=y (if x,y,z\neq0)

In the first octant, we assume x,y,z>0, so we can ignore the caveats above. Now,

x+y+z=5\iff x+2x+2x=5x=5\implies x=1\implies y=z=2

so that the only critical point in the region of interest is (1, 2, 2), for which we get a maximum value of f(1,2,2)=16.

We also need to check the boundary of the region, i.e. the intersection of x+y+z=5 with the three coordinate axes. But in each case, we would end up setting at least one of the variables to 0, which would force f(x,y,z)=0, so the point we found is the only extremum.
4 0
3 years ago
What is the answer to <br>11-9m=-70
Fynjy0 [20]

Answer:

m=9

Step-by-step explanation:

11-9m=-70

-11        -11

-9m  =  -81

divide both sides by -9 and you get m=9

7 0
3 years ago
Read 2 more answers
What is the distance between -2.2 , 8.4 on a number line
leonid [27]

Answer:

10.2

Step-by-step explanation:

if u write is down with the decimals tgat and count that is what u would get also 2 plus 8 is ten and two pluse two is 41

5 0
2 years ago
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