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mars1129 [50]
3 years ago
15

Which set of numbers represents solutions of the inequality m>20?

Mathematics
2 answers:
zlopas [31]3 years ago
8 0

Answer:

{21, 22, 23, 24}

Step-by-step explanation:

m>20 means that m is greater or more than 20, therefore 21, 22, 23, and 24 are all greater than 20 so that is the answer.

ivolga24 [154]3 years ago
7 0

Answer:

i think so.....

20,21,22,23

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Natalia is writing a recursiye formula to represent the
Nadya [2.5K]

Answer:

1.5

Step-by-step explanation:

As the common difference is not same for all terms, the given sequence is a geometric sequence

the standard formula for a geometric sequence is:

a_n=a_1r^{n-1}

The formula to calculate common ratio is:

r =   \frac{a_n}{a_{n-1}}

Dividing the term by previous term

So,

r = 12/8 = 18/12 = 27/18 = 1.5

The value for common ratio will be:

1.5 ..

4 0
3 years ago
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EXAMPLE 5 Find the maximum value of the function f(x, y, z) = x + 2y + 9z on the curve of intersection of the plane x − y + z =
geniusboy [140]

The Lagrangian,

L(x,y,z,\lambda,\mu)=x+2y+9z-\lambda(x-y+z-1)-\mu(x^2+y^2-1)

has critical points where its partial derivatives vanish:

L_x=1-\lambda-2\mu x=0

L_y=2+\lambda-2\mu y=0

L_z=9-\lambda=0

L_\lambda=x-y+z-1=0

L_\mu=x^2+y^2-1=0

L_z=0 tells us \lambda=9, so that

L_x=0\implies-8-2\mu x=0\implies x=-\dfrac4\mu

L_y=0\implies11-2\mu y=0\implies y=\dfrac{11}{2\mu}

Then with L_\mu=0, we get

x^2+y^2=\dfrac{16}{\mu^2}+\dfrac{121}{4\mu^2}=1\implies\mu=\pm\dfrac{\sqrt{185}}2

and L_\lambda=0 tells us

x-y+z=-\dfrac4\mu-\dfrac{11}{2\mu}+z=1\implies z=1+\dfrac{19}{2\mu}

Then there are two critical points, \left(\pm\frac8{\sqrt{185}},\mp\frac{11}{\sqrt{185}},1\pm\frac{19}{\sqrt{185}}\right). The critical point with the negative x-coordinates gives the maximum value, 9+\sqrt{185}.

8 0
3 years ago
Please help!! I don't know what to do :(
elena55 [62]

Yo sup??

This question can be solved by applying the properties of similar triangles

the triangle with sides 5x and 20 is similar to the triangle with sides 45 and 36

therefore we can say

5x/45=20/36

x=5 units

Hope this helps

8 0
2 years ago
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sattari [20]
Check the picture below.

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2 years ago
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I think it's 104. something
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