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2 years ago

2..52 X 10 to the fifth????PLS HELPP!

Mathematics

1 answer:

love history [14]2 years ago

7 0

Answer:

252000

Step-by-step explanation:

we take 2.52 and move the decimal back 5 places. when we run out of numbers we add zeros. so if we moved 3 places back it would be 2520 but since we move 5 it is 252000. 10 by any power you just move the decimal place if it is negtive move it forward if positive move backward.

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A rectangular box with a volume of 272ft^3 is to be constructed with a square base and top. The cost per square foot for the bot

ASHA 777 [7]

Answer:

The dimensions of the box is 3 ft by 3 ft by 30.22 ft.

The length of one side of the base of the given box is 3 ft.

The height of the box is 30.22 ft.

Step-by-step explanation:

Given that, a rectangular box with volume of 272 cubic ft.

Assume height of the box be h and the length of one side of the square base of the box is x.

Area of the base is = $(x\times x)$

$=x^2$

The volume of the box is = area of the base × height

$=x^2h$

Therefore,

$x^2h=272$

$\Rightarrow h=\frac{272}{x^2}$

The cost per square foot for bottom is 20 cent.

The cost to construct of the bottom of the box is

=area of the bottom ×20

$=20x^2$ cents

The cost per square foot for top is 10 cent.

The cost to construct of the top of the box is

=area of the top ×10

$=10x^2$ cents

The cost per square foot for side is 1.5 cent.

The cost to construct of the sides of the box is

=area of the side ×1.5

$=4xh\times 1.5$ cents

$=6xh$ cents

Total cost = $(20x^2+10x^2+6xh)$

$=30x^2+6xh$

Let

C $=30x^2+6xh$

Putting the value of h

$C=30x^2+6x\times \frac{272}{x^2}$

$\Rightarrow C=30x^2+\frac{1632}{x}$

Differentiating with respect to x

$C'=60x-\frac{1632}{x^2}$

Again differentiating with respect to x

$C''=60+\frac{3264}{x^3}$

Now set C'=0

$60x-\frac{1632}{x^2}=0$

$\Rightarrow 60x=\frac{1632}{x^2}$

$\Rightarrow x^3=\frac{1632}{60}$

$\Rightarrow x\approx 3$

Now $C''|_{x=3}=60+\frac{3264}{3^3}>0$

Since at x=3 , C''>0. So at x=3, C has a minimum value.

The length of one side of the base of the box is 3 ft.

The height of the box is $=\frac{272}{3^2}$

=30.22 ft.

The dimensions of the box is 3 ft by 3 ft by 30.22 ft.

7 0

2 years ago

What is 78.32+6.784?

IceJOKER [234]

Answer: 85.104

Step-by-step explanation: Adding decimals is something you will use a lot. Take the time to learn it now. So when you are adding decimals there are some important things to keep in mind. 1. Line the decimals up. Let me explain. Lets do a example. Lets say its 14.5+ 15.74. The first thing you would need to do is line them up like this-->

14.5

15.74

+____

After you do that, Do you see a black space next to the 14.5? When adding decimals this is a big nono. So what you can do is add a 0. Adding a zero is only applicable when you have one number that has 1 more number(its my best way to explain it).( so like you would add a zero if your equation was like 23.5 +18.99. but you wouldn't do it if it was 17.5+19.4). Example equation should look like this:

14.5 0<---- add the zero!

15.74

+____

Step 2. Put the decimal down to where it lines up. Like this:

14.5 0

15.74

+____

.<------ make sure it lines up!

Step 3. Add regularly. Just ignore the decimal in the equation and just add. The answer would be 30.24. If you don't know how to add, I don't think your old enough for a brainly account:)

Step 4. Remove the zero. Zero as a number means nothing. So its ok in math to add a zero at the end of a decimal. So 4.0 is the same as 4 or 4.0000000000000. So when you have another problem, and your answer is something like 95.320, you can just remove the zero. So it would be 95.32:)

Hope I Helped! (this took me a long time to type out)

7 0

3 years ago

Read 2 more answers

A spruce tree is approximately the shape of a cone with a slant height of 20 ft. The angle formed by the tree with the ground me

elena-14-01-66 [18.8K]

The answer is 16 feet.

3 0

3 years ago

Read 2 more answers

Help cant do it? It's trigonometry

12345 [234]

I think the answer to your problem is 69

6 0

3 years ago

(5 points)

Schach [20]

Answer:

The original Slope is y=-1/3x-2

The perpendicular slope would be y=3x+b

Step-by-step explanation:

Original Slope:

You already have the y-interecpet, (0,-2), and you know two points (0,-2) and (-6,0), so you can find the slope with (y1-y2)/(x1-x2) so in this case, it would be (0-(-2))/(-6-0)= -1/3 and you can find y=1/3x-2.

Perpendicular Slope:

The slope of any perpendicular line would be the reciprocal of the original. So the reciprocal of -1/3 is 3. The b can be any real number because no matter the y-intercept the slope would still be perpendicular

3 0

2 years ago