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Debora [2.8K]
4 years ago
14

You have a box with a square bottom and top. you are to construct this box so it has a volume of 600 cubic inches. find the dime

nsions of the box that will minimize the surface area of the box. then find the minimum surface area.
Mathematics
1 answer:
natta225 [31]4 years ago
4 0
We need to get two equations.  One equation will be the value at the curve.  The other will contain derivative. For the first equation, find the value on the curve. -k = m
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The average of six positive integers starting with a is equal to b. What is the average of five consecutive integers ending with
kvasek [131]

The average of the five consecutive numbers ending with b in discuss when expressed in terms of a is; Choice D; a+3.

<h3>What is the average of five consecutive integers ending with b?</h3>

First, since it was given in the task content that the average of six positive consecutive odd integers starting with a is equal to b, it therefore follows that;

(a+a+2+a+4+a+6+a+8+a+10)/6 = b

6b=6a+30

b=a+5

Also, let the average of the consecutive intergers ending with b be denoted by; x.

(b+b-1+b-2+b-3+b-4)/5 = x

=(5b-10)/5

=b–2

The average, x=b – 2 (where b = a-5)

Ultimately, the value of the required average is; = a+5-2 = a+3.

Read more on average of integers;

brainly.com/question/24369824

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7 0
1 year ago
Gcf of 27, 45 and 54
julia-pushkina [17]
The GCF is <span>1. hope that helps</span>
5 0
3 years ago
Read 2 more answers
What is the third quartile of the given data set?<br><br> {2, 5 ,6, 7, 15, 16, 17}
Tanya [424]
Series = <span>{2, 5 ,6, 7, 15, 16, 17}

Here, Median = 7

Then Q3 = </span><span>{15, 16, 17}
Median of Q3 = 16

In short, Your Answer would be: 16

Hope this helps!</span>
5 0
3 years ago
39-50 find the limit.<br> 41. <img src="https://tex.z-dn.net/?f=%5Clim%20_%7Bt%20%5Crightarrow%200%7D%20%5Cfrac%7B%5Ctan%206%20t
Katyanochek1 [597]

Write tan in terms of sin and cos.

\displaystyle \lim_{t\to0}\frac{\tan(6t)}{\sin(2t)} = \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)}

Recall that

\displaystyle \lim_{x\to0}\frac{\sin(x)}x = 1

Rewrite and expand the given limand as the product

\displaystyle \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)} = \lim_{t\to0} \frac{\sin(6t)}{6t} \times \frac{2t}{\sin(2t)} \times \frac{6t}{2t\cos(6t)} \\\\ = \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right)

Then using the known limit above, it follows that

\displaystyle \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right) = 1 \times 1 \times \frac3{\cos(0)} = \boxed{3}

4 0
2 years ago
the two shorter sides of a triangle are the same length. the length of the longer side is 5 m longer than each of the shorter si
STatiana [176]
Let the length of the shorter sides be x, then
Perimeter = x + x + x + 5
29 = 3x + 5
3x = 29 - 5 = 24
x = 24/3 = 8

Therefore, the length of longest side is 8 + 5 = 13 m.
4 0
3 years ago
Read 2 more answers
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