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3 years ago

I need help( number 30)

Mathematics

2 answers:

Mademuasel [1]3 years ago

5 0

The equation for area is lw=a lengthxwidth=area so you put in what you know. (area and width) and get 18L=450. divide both sides by 18 to make the L alone. 18L becomes L and 450 becomes 25. Length = 25 feet

Allushta [10]3 years ago

3 0

The answer is 25 feet bc I had that homework and I had it right

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There are white, blue, and red boats in a marina. Three-fourths of the boats in the marina are white, 4/7 of the remaining boats

insens350 [35]

Answer:

There are 84 total boats.

Step-by-step explanation:

In order to find this, we first need to find the fraction which are red. We can do this by multiplying the whole by how many are not white.

1 * 1/4 = 1/4

Now we take that amount and multiply it by the amount that are not blue of the remaining.

1/4 * 3/7 = 3/28

Now that we have this, and we know this is 9 boats, we can divide 9 by this fraction and it will give us the total number of boats.

9 ÷ 3/28 = 84

8 0

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 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.

4 0

3 years ago

Sketch the graph of a function f for which f(0)=0,f'(0)=3,f'(1)=0, and f'(2)= -1

vichka [17]

I think you have to sketch the graph

8 0

3 years ago

Passes through 5,4 slope -3 ASAP

aksik [14]

The answer should be
Y=-3x+19

5 0

3 years ago

Number two anyone..?

sergey [27]

The equivalent expression is option A) 12(l+2a)

Step-by-step explanation:

The expression for total cost = 12l+24a
Taking 12 as common from all the terms in the expression,

we get, 12 (l+2a)

Therefore, The equivalent expression of 12l+24a is 12(l+2a).

3 0

3 years ago