All categories

3 years ago

1

Mathematics

1 answer:

Alja [10]3 years ago

4 0

Hi!

<h2>Your answer will be: <em>180.</em></h2>

Reason being: <em>183-3=180. Also, 180+3=183.</em>

Hope this helps!

<em>Yours Truly,</em>

<h2><em></em></h2><h2><em>~~~PicklePoppers~~~</em></h2>

You might be interested in

Consider the function V=g(x), where g(x) =x(6-2x)(8-2x), with x being the length of a cutout in cm and V being the volume of an

Andrej [43]

Answer:

The maximum volume of the open box is 24.26 cm³

Step-by-step explanation:

The volume of the box is given as $V=g(x)$ , where $g(x)=x(6-2x)(8-2x)$ and $0\le x\le3$ .

Expand the function to obtain:

$g(x)=4x^3-28x^2+48x$

Differentiate wrt x to obtain:

$g'(x)=12x^2-56x+48$

To find the point where the maximum value occurs, we solve

$g'(x)=0$

$\implies 12x^2-56x+48=0$

$\implies x=1.13,x=3.54$

Discard x=3.54 because it is not within the given domain.

Apply the second derivative test to confirm the maximum critical point.

$g''(x)=24x-56$ , $g''(1.13)=24(1.13)-56=-28.88\:$

This means the maximum volume occurs at $x=1.13$ .

Substitute $x=1.13$ into $g(x)=x(6-2x)(8-2x)$ to get the maximum volume.

$g(1.13)=1.13(6-2\times1.13)(8-2\times1.13)=24.26$

The maximum volume of the open box is 24.26 cm³

See attachment for graph.

6 0

3 years ago

Round 123,949 to the underlined point. 4 is highlighted

ehidna [41]

$\\ \sf\longmapsto 123,949$

9 is greater than 5

$\\ \sf\longmapsto 123,95$

$\\ \sf\longmapsto 123,9$

9 is greater than 5

$\\ \sf\longmapsto 124$

4 is less than 5

$\\ \sf\longmapsto 12$

2 is less than 5

$\\ \sf\longmapsto 1$

Note

Write the number until underlined point.I did it till end

5 0

3 years ago

Read 2 more answers

Does anyone know the answer?

Kazeer [188]

The answer is c. When the added number is outside of the radical it adds to the y, moving it up

4 0

3 years ago

Read 2 more answers

Helene wrote a report. It took her 4 hours to write 24 pages.

sammy [17]

Answer:

Step-by-step explanation:

24÷6= 6 Hope this helps.

4 0

3 years ago

a hose fills a hot tub at a rate of 3.59 gallons per minute. how many hours will it take to fill a 309 gallon hot tub

iris [78.8K]

Answer:

about 1.43 hours.

Step-by-step explanation:

You can use your original equation to find how many minutes it takes to fill up the 309 gallon hot tub.

3.59x=309

x= how many minutes it takes to fill up a certain gallon.

Divide both sides by 3.59 to isolate x and you get x=86.0724234.

That is how many minutes it takes.

The question asks for how many hours, so that divide 86.0724234 by 60 since there are 60 minutes in an hour, and you get 1.43454039 or 1.43 hours.

There is also another way which is called dimensional analysis, but I don't know if you guys learned that yet.

Hope my answer helps!

6 0

3 years ago