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Roman55 [17]
3 years ago
12

What is the geometric mean of 18 and 49

Mathematics
2 answers:
zvonat [6]3 years ago
7 0

Step-by-step explanation:

  • Geometric mean =√18×49
  • √882
  • 29.69

hope it helps.

zlopas [31]3 years ago
7 0

Answer:

Below

Step-by-step explanation:

√(18*49)

= √882

= 29.70 to nearest hundredth.

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It is equal to 0.8 five star please?

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What is the benchmark fraction of 7/10 x 16
Tomtit [17]
Lets change "16" by its to 16/1 .. since nothing can't help support 16 by itself when it is going into 7/10

Now that we change that ... your problem becomes 7/10 × 16/1

7/10 × 16/1 = 11 1/5

Because
7(16) / 10(1) = 112/10
Now lets go. to how we solve the for the answer

112/10 = 11 1/5


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3 years ago
Y varies directly with x. If x = 16 and y = 2 find y when x = 96
ArbitrLikvidat [17]

Answer:

y = 12

Step-by-step explanation:

Use the equation y = kx

Plug in x and y to find k:

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y = 1/8(96)

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3 years ago
Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤100. The maximum value of f(x,y) is:
ryzh [129]

First find the critical points of <em>f</em> :

f(x,y)=2x^2+3y^2-4x-5=2(x-1)^2+3y^2-7

\dfrac{\partial f}{\partial x}=2(x-1)=0\implies x=1

\dfrac{\partial f}{\partial y}=6y=0\implies y=0

so the point (1, 0) is the only critical point, at which we have

f(1,0)=-7

Next check for critical points along the boundary, which can be found by converting to polar coordinates:

f(x,y)=f(10\cos t,10\sin t)=g(t)=295-40\cos t-100\cos^2t

Find the critical points of <em>g</em> :

\dfrac{\mathrm dg}{\mathrm dt}=40\sin t+200\sin t\cos t=40\sin t(1+5\cos t)=0

\implies\sin t=0\text{ OR }1+5\cos t=0

\implies t=n\pi\text{ OR }t=\cos^{-1}\left(-\dfrac15\right)+2n\pi\text{ OR }t=-\cos^{-1}\left(-\dfrac15\right)+2n\pi

where <em>n</em> is any integer. We get 4 critical points in the interval [0, 2π) at

t=0\implies f(10,0)=155

t=\cos^{-1}\left(-\dfrac15\right)\implies f(-2,4\sqrt6)=299

t=\pi\implies f(-10,0)=235

t=2\pi-\cos^{-1}\left(-\dfrac15\right)\implies f(-2,-4\sqrt6)=299

So <em>f</em> has a minimum of -7 and a maximum of 299.

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It will be 63 dollars to go to a amusement park
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