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2 years ago

Can anyone plz help me asap with Part B and C.?

Mathematics

1 answer:

creativ13 [48]2 years ago

5 0

Answer:

Please post a clearer screenshot...

Step-by-step explanation:

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Complete the data set with one value so that the mean of the data is 13.<br><br> 10,14,8,16,12,____

Allisa [31]

(10 + 14 + 8 + 16 + 12 + x ) /6 = 13
(60 + x) / 6 = 13
60 + x = 13 * 6
60 + x = 78
x = 78 - 60
x = 18 <=====

3 0

3 years ago

Find the slope of the line√3y-x-2√x

expeople1 [14]

Please insert a picture of the question

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3 years ago

Can you help me please

ikadub [295]

I think the second one but I’m not sure

7 0

3 years ago

Read 2 more answers

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

bridget recieved 1400 from her grandfather as a birthday gift she decided to put the money in an account to save for college the

Simora [160]

Answer:

The amount received after 5 years is 1827.39

Step-by-step explanation:

The amount received by Bridget from his grandfather as the birthday gift = 1400 .

Since he wants to deposit it and save for college, he earns interest rate = 5.4%

He deposited this money for the years = 5 years.

Here, the Present value (PV) is = 1400

Interest rate ( r ) = 5.4% or 0.054

Since the interest rate is compounded semi annually, So, n = 10

Now if we calculate the future value of 1400 with interest rate 5.4 percent:

$\text{The amount received after 5 years} = PV(1 + \frac{r}{2} )^{n} \\$

$= 1400(1 + \frac{0.054}{2})^{10} \\$

$= 1827.39$

Therefore, 1827.39 will be the total money in his account after five years.

5 0

3 years ago