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2 years ago

Can someone pls help me!! And if u can explain how u do it I will very thankful for that..

Mathematics

1 answer:

Amiraneli [1.4K]2 years ago

8 0

Answer:

For the first question is 8y, and the second question would be 80

Step-by-step explanation:

The perimeter of a shape is calculated by adding it's sides together, and 2y+2y+2y+2y=8y. If y=10, we can substitute y for 10 in which 8*10 is 80.

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compared to last year, the population of Boom Town has increased by 10%. The population is now 6,600. What was the population la

Rufina [12.5K]

Answer:

Step-by-step explanation:

6600 x 10% = 60&$;#;,$:#&#>$

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2 years ago

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Using the order of operations, what should be done first to evaluate 6 squared + 10 divided by (negative 5) (3) minus 5?

tiny-mole [99]

If anything is in parentheses do that first, however if there isn’t you always do exponents next so evaluate 6 squared
Hope this helps!!

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3 years ago

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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 f :

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

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

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

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 g :

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

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

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

where n 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 f has a minimum of -7 and a maximum of 299.

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3 years ago

How do you re-write 0.7 repeating as a simplified fraction?

Brums [2.3K]

Answer:

7/10

Step-by-step explanation:

because .7*10 = 70 and it would be 70/100 so you simplify it to 7/10

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3 years ago

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HELPPPPP PLEASSEEEEEEE

NikAS [45]

The answer would be A.132 because when you add the corner length to 90 it equals 132

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3 years ago