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sukhopar [10]
3 years ago
7

How do you write 100% as a decimal?

Mathematics
1 answer:
kirill115 [55]3 years ago
7 0

Answer:

1

Step-by-step explanation:

100 = a whole

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What is the standard form polynomial representing the volume of this shipping container?
harina [27]

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

8 0
3 years ago
Read 2 more answers
If y varies inversely a X², how dose x varies with y​
Rufina [12.5K]

Step-by-step explanation:

square of x is x2

Inverse of square of x is 1 / x2

So the equation would be:

y = k / x2

where k is a proportionality constant.

To find the value of k, plug in the known values for x and y: x=3, y=45

45 = k / 32 = k / 9

k=405

Now you have the full equation with proportionality factor.

y = 405 / x2

then, for x=5:

y = 405 / 52 = 405 / 25

y = 16.2

4 0
3 years ago
A hyperbola is given by the equation x^2+2xy−y^2+x = 2. Use implicit differentiation
Mekhanik [1.2K]
\bf x^2+2xy-y^2+x=2\qquad 
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(1&,&2)\\
x_1&&y_1
\end{array}\\\\
-------------------------------\\\\
2x+2\left( 1\cdot y+x\frac{dy}{dx} \right)-2y\frac{dy}{dx}+1=0
\\\\\\
2x+2y+2x\frac{dy}{dx}-2y\frac{dy}{dx}+1=0
\\\\\\
\cfrac{dy}{dx}(2x-2y)=-1-2x-2y\implies \cfrac{dy}{dx}=\cfrac{-1-2x-2y}{2x-2y}
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\left. \cfrac{dy}{dx}=\cfrac{2x+2y+1}{2y-2x} \right|_{1,2}\implies \cfrac{2+4+1}{4-2}\implies \cfrac{7}{2}\\\\
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\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-2=\cfrac{7}{2}(x-1)\implies y-2=\cfrac{7}{2}x-\cfrac{7}{2}
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5 0
4 years ago
A rectangular park is 5/6 mi wide and 1 5/7 mi long. What is the area of the park as a mixed number simplest form? Enter your an
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First we need to turn 1 5/7 into an improper fraction   7x1+5 = 12/7

12 / 7 x 5 / 6 = 60/42 ....reduced.....10/7

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3 0
3 years ago
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The slope of the line below is to use the corners of the labeled point to find a point slope equation of the line.
dexar [7]

Answer: Choice A)  y - 10 = 2(x - 3)

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

Explanation:

We can rule out choices C and D because this diagonal line has a positive slope (as it moves uphill when moving to the right).

So m = 2 must be the slope.

---------

Recall that

y - y1 = m(x - x1)

represents the point slope form of a linear equation.

The point shown on this graph is (3,10) meaning that x1 = 3 and y1 = 10 pair up together.

So,

y - y1 = m(x - x1)

y - 10 = 2(x - 3)

which points to <u>choice A</u> as the final answer

4 0
3 years ago
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