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3 years ago

What is the solution to the linear equation 2.8y+6+0.02y=5y-14

1 answer:

6 0

Group all the 'y' terms on the left and all the other terms on the right:

<span>2.8y+6+0.02y=5y-14 => y(2.8+0.02-5)=-14-6

Now add up 2.8, 0.02 and -5; then combine -14 and -6. Can you now solve for y?

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MARSVECTORCALC6 3.4.020. My Notes A rectangular box with no top is to have a surface area of 64 m2. Find the dimensions (in m) t

ioda

Answer:

We would have

$l =w =\frac{8\sqrt{3}}{3} \\h = \frac{8\sqrt{3}}{6}$

where " l " is length, " w" is width and "h" is height.

Step-by-step explanation:

Step 1

Remember that

Surface area for a box with no top = $lw+2lh+2wh = 64$

where " l " is length, " w" is width and "h" is height.

Step 2.

Remember as well that

Volume of the box = $l*w*h$

Step 3

We can now use lagrange multipliers. Lets say,

$F(l,w,h) = lwh$

and

$g(l,w,h) = lw+2lh+2wh = 64$

By the lagrange multipliers method we know that

$\nabla F = \lambda \nabla g$

Step 4

Remember that

$\nabla F = (wh,lh,lw)$

and

$\nabla g = (w+2h,l+2h , 2w+2l)$

So basically you will have the system of equations

$wh = \lambda (w+2h)\\lh = \lambda (l+2h)\\lw = \lambda (2w+2l)$

Now, remember that you can multiply the first eqation, by "l" the second equation by "w" and the third one by "h" and you would get

$lwh = l\lambda (w+2h)\\\\lwh = w\lambda (l+2h)\\\\lwh = h\lambda (2w+2l)$

Then you would get

$l\lambda (w+2h) = w\lambda (l+2h) = h\lambda (2w+2l)$

You can get rid of $\lambda$ from these equations and you would get

$lw+2lh = lw+2wh = 2wh+2lh$

And from those equations you would get

$l = w =2h$

Now remember the original equation

$lw+2lh+2wh = 64$

If we plug in what we just got, we would have

$l^{2} + l^{2} + l^2 = 64 \\3l^{2} = 64 \\l = w = \frac{8\sqrt{3} }{3} \\h = \frac{8\sqrt{3} }{6}$

7 0

3 years ago

Find the output for the following function machine when x = 5

seropon [69]

Answer:

Step-by-step explanation:

-2×5=-10

-10+34= 24

8 0

3 years ago

1• (a + 3) = a + 3<br> What is the property

Artist 52 [7]

Answer:

the commutative property because you’re not changing the way its form style, but of more like their former

6 0

3 years ago

Y=2x +1 x=3. how do I find the Y in each equation

fiasKO [112]

Since we already have X, I'm guessing all the question asks you to do is plug it in and solve it to get a Y= equation

If I'm right, then the process is

Y=2(3)+1 (putting 3 in place of x)

Y=6+1

Y=7

Which makes 7 your answer

8 0

3 years ago

Read 2 more answers

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $1790 and his st

stiv31 [10]

Answer:

20.7%

Step-by-step explanation:

Amount of stock increased in Company A = 20% of 1790

= 0.20 * 1790 = $ 358

Investor's stock in company A this year = 1790 + 358 = $ 2148

Amount of stock increased in Company B = 22% of 1000

= 0.22 * 1000= $ 220

Investor's stock in company B this year = 1000 + 220 = $ 1220

Total amount in investor's stock account = 2148 + 1220 = $ 3368

Increased amount = 3368 - 2790 = $ 578

Increase percentage = $\frac{578}{2790}*100$ = 20.71

= 20.7%

7 0

3 years ago

Read 2 more answers