3 years ago

Find the difference.-3.2 - (-4) * 1 point 7.2 -7.2 0.8 -0.8

Mathematics

1 answer:

-Dominant- [34]3 years ago

3 0

Answer:

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Step-by-step explanation:

pog champ

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A balloon that has a volume of 72 cubic centimeters is deflating at a rate of 4 cubic cm every 5 seconds. At this rate, how long

kirill115 [55]

Answer: 90 seconds or 1 min. and 30 sec.

Step-by-step explanation:

72/4=18

18x5=90

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3 years ago

This extreme value problem has a solution with both a maximum value and a minimum value. use lagrange multipliers to find the ex

noname [10]

$L(x,y,z,\lambda)=10x+10y+2z+\lambda(5x^2+5y^2+2z^2-42)$

$L_x=10+10\lambda x=0\implies1+\lambda x=0$

$L_y=10+10\lambda y=0\implies1+\lambda y=0$

$L_z=2+4\lambda z=0\implies1+2\lambda z=0$

$L_\lambda=5x^2+5y^2+2z^2-42=0$

$\begin{cases}L_x=0\\L_y=0\\L_z=0\end{cases}\implies1+\lambda x=1+\lambda y=1+2\lambda z=0\implies x=y=2z$

$5x^2+5y^2+2z^2=5(2z)^2+5(2z)^2+2z^2=42z^2=42\implies z^2=1$

$z^2=1\implies z=\pm1\implies x=y=\pm2$

There are two critical points, at which we have

$f\left(2,2,1\right)=42\text{ (a maximum value)}$

$f\left(-2,-2,-1\right)=-42\text{ (a minimum value)}$

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4 years ago

F(x) = 4x - 1<br> g(x) = x2 - 4x<br> Find f(g(3))

nasty-shy [4]

Answer:

-13

Step-by-step explanation:

hello,

Replace x by the value as below

$g(3)=3^2-4\times3=9-12=-3\\f(g(3))=f(-3)=4\times(-3)-1=-12-1=-13\\$

Thanks

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3 years ago

Can someone solve this

Musya8 [376]

Answer:

$m = \boxed{10}, \: \: c = \boxed{0}$

Step-by-step explanation:

$y = 10x \\ \\ y = 10x + 0 \\ \\ equating \: it \: with \\ y = mx + c \\ \\ m = \boxed{10} \: \: c = \boxed{0}$

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3 years ago

Please help it's more than one answer

Rus_ich [418]

I hope this helps you

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4 years ago