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just olya [345]
2 years ago
13

Helpp i have 12 minutes

Mathematics
2 answers:
s2008m [1.1K]2 years ago
8 0
924.8 or 925


Mark brainliest please


Hope this helps you
Lemur [1.5K]2 years ago
7 0

Answer:

the answer is 924.8 round it up and you get 925

Step-by-step explanation:

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What is the relationship between the two constants of proportionality?
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We call the ratio between two directly proportional quantities the constant of proportionality. When two quantities are directly proportional, they increase and decrease at the same rate. While these two quantities may increase or decrease, the constant of proportionality always remains the same.
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Answer:

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3 years ago
Factorize py+ pz + y² + yz​
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Answer:

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Step-by-step explanation:

I cant really explain it but I hope this helps

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Read 2 more answers
13. Show that 500 is not a prefect square​
avanturin [10]

Answer:

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Step-by-step explanation:

x^2=500

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3 0
2 years ago
Find the minimum and maximum of f(x, y, z) = y + 4z subject to two constraints, 2x + z = 4 and x2 + y2 = 1. g
yuradex [85]
L(x,y,z,\lambda_1,\lambda_2)=y+4z+\lambda_1(2x+z-4)+\lambda_2(x^2+y^2-1)

L_x=2\lambda_1+2\lambda_2 x=0\implies\lambda_1+\lambda_2x=0
L_y=1+2\lambda_2y=0
L_z=4+\lambda_1=0\implies\lambda_1=-4
L_{\lambda_1}=2x+z-4=0
L_{\lambda_2}=x^2+y^2-1=0

\lambda_1=-4\implies \lambda_2x=4\implies\lambda_2=\dfrac4x
1+2\lambda_2y=0\implies\lambda_2y=-\dfrac12\implies8y=-x

x^2+y^2=1\implies (-8y)^2+y^2=65y^2=1\implies y=\pm\dfrac1{\sqrt{65}}
y=\pm\dfrac1{\sqrt{65}}\implies x=\mp\dfrac8{\sqrt{65}}
2x+z=4\implies z=4\pm\dfrac{16}{\sqrt{65}}

We have two critical points to consider: \left(-\dfrac8{\sqrt{65}},\dfrac1{\sqrt{65}},4+\dfrac{16}{\sqrt{65}}\right) and \left(\dfrac8{\sqrt{65}},-\dfrac1{\sqrt{65}},4-\dfrac{16}{\sqrt{65}}\right).

At these points, we respectively have a maximum of 16+\sqrt{65} and a minimum of 16-\sqrt{65}.
6 0
3 years ago
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