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3 years ago

What is the standard form polynomial representing the volume of this shipping container?

Mathematics

2 answers:

harina [27]3 years ago

8 0

Answer:

Volume = (24x⁵ + 78x⁴ - 147x³ - 624x² - 360x)

Step-by-step explanation:

Container given in the picture is in the shape of a cuboid.

And volume of a cuboid is measured by the expression,

Volume of a cuboid = Length × width × height

Now substitute the measure of the container's dimensions given in the picture

Volume = (4x² + 3x)(x²- 8)(6x + 15)

= [(4x² + 3x)(x²- 8)](6x + 15)

= [4x²(x² - 8) + 3x(x² - 8)](6x + 15)

= (4x⁴ - 32x² + 3x³ - 24x)(6x + 15)

= (4x⁴ + 3x³ - 32x² - 24x)(6x + 15)

= 6x(4x⁴ + 3x³ - 32x² - 24x) + 15(4x⁴ + 3x³ - 32x² - 24x)

= 24x⁵+ 18x⁴ - 192x³ - 144x² + 60x⁴ + 45x³ - 480x² - 360x

= 24x⁵ + 78x⁴ - 147x³ - 624x² - 360x

emmainna [20.7K]3 years ago

5 0

Answer:

V = 24x⁵+78x⁴-147x³-624x²-360x

Step-by-step explanation:

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A cone has a radius of 5 inches and a height of 10 inches. What is the volume of the cone? Use 3.14 for pi. Round to the nearest

RideAnS [48]

Answer:

261.8 in^3

Step-by-step explanation:

The formula for the volume of a cone is V = (1/3)(base)(height), where "base" is the area of the base.

In this case, with the radius being 5 in and the height 10 in, we get:

V = (1/3)*π*(5 in)^2*(10 in), which simplifies to 261.8 in^3.

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3 years ago

Give an example of two numbers that are both 6-digit numbers,but the greater number is Determined by the hundreds place

VMariaS [17]

perhaps 300,900 and 300,400 ?

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3 years ago

I need to find out the answer to the following questong.HELP!!!!!!!!<br> 3×9+10×36/6

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The answer would be 87.

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3 years ago

Read 2 more answers

You are fundraising for the schools track team by selling clothing. The first day, you sell 13 t-shirts and 17 pairs of shorts f

Anastasy [175]

Answers:

one t-shirt costs $10

one pair of shorts costs $15

============================================================

Explanation:

x = cost of one t-shirt

y = cost of one pair of shorts

13x+17y = 385 is the first equation because 13x represents the money you get from selling 13 shirts, and the 17y represents the amount you get from selling 17 shorts. The total 13x+17y is given to be $385

The second equation is 13x+12y = 310 for similar reasoning, but this time you sell 12 shorts this time and you get $310 in revenue.

The system of equations we have is:

$\begin{cases}13x+17y = 385\\13x+12y=310\end{cases}$

There are a few ways to solve this system. Possibly the quickest method is to note that the 13x shows up twice, so we can subtract straight down to eliminate the x terms

So,

13x-13x becomes 0x or just 0, and the x terms go away.
17y-12y becomes 5y
385-310 becomes 75

After those three subtractions, we have the equation 5y = 75 which solves to y = 15 after dividing both sides by 5. This means the cost of one pair of shorts is $15

Plug this y value into any equation involving x and y, and solve for x

13x+17y = 385

13x+17(15) = 385

13x+255 = 385

13x = 385-255

13x = 130

x = 130/13

x = 10

Therefore, each t-shirt costs $10

-----------------

To help verify the answer, plug (x,y) = (10,15) into each equation. We should end up with a true result after simplifying both sides.

Start with the first equation

13x+17y = 385

13(10)+17(15) = 385

130+255 = 385

385 = 385

We get a true result which confirms the first equation.

Repeat for the second equation.

13x+12y = 310

13(10)+12(15) = 310

130+180 = 310

310 = 310

Both equations are true so (x,y) = (10, 15) has been fully confirmed.

6 0

3 years ago

PLEASE HELPP Divide 24 ÷ -3 drag and drop the correct number into the box to complete the sentence

nikklg [1K]

Option A: -8 is the right answer

Step-by-step explanation:

In order to find the quotient of a divided by b is solved as:

$a/ b = a * \frac{1}{b}$

the answer is the quotient

Given

24 ÷ -3

It will be simplified as:

$24 * \frac{1}{-3} = -8$

The quotient is -8

Hence,

Option A: -8 is the right answer

Keywords: Quotient, remainder

Learn more about division at:

#LearnwithBrainly

3 0

4 years ago