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Anarel [89]
3 years ago
5

(3-7n^2+3n^3)-(6n^3-1-5n^2). Simplify.

Mathematics
2 answers:
quester [9]3 years ago
5 0

Answer:

-3n^3 - 2n^2 + 4.

Step-by-step explanation:

(3-7n^2+3n^3)-(6n^3-1-5n^2)

First distribute the negative over the second parentheses:

= 3 - 7n^2 + 3n^3 - 6n^3 + 1 + 5n^2

Now simplify like terms:

= -3n^3 - 2n^2 + 4 (answer).

Burka [1]3 years ago
3 0

Simplify

3 - 7n^2 + 3n^3 - (6n^3 - 1 - 5n^2)

Simplify brackets

3 - 7n^2 + 3n^3 - 6n^3 + 1 + 5n^2

Collect like terms

(3 + 10) + (-7n^2 + 5n^2) + (3n^3 - 6n^3)

Simplify

<u>4 - 2n^2 - 3n^3</u>

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An aluminum rod 0.500 m in length and with a cross-sectional area of 2.20 cm2 is inserted into a thermally insulated vessel cont
netineya [11]

Answer:

a). V_{He}   = 14.6208 litres : b). = 0.29844 Litres/sec

Step-by-step explanation:

a).

Step 1.

Volume when one half of rod is inserted = (50/2)*(2.2) = 55cm³

Step 2.

As we know that,

V_{He} = (ρV_{c}IΔT)_{Al} / (ρL_{v})H_{c}                     where H_{c} = 290 - 4.2 = 285.8K

                                                        sepecififc heat of aluminum = 0.215 cal/g

                                                                                      density = 2.7 g/cm3

      = (2.7)*(55)*(0.215)*(285.8) / (0.125)*(20900)*(1/4186)

V_{He}   = 14.6208 litres

b).

Step 1.

As we know that

  P = kA(dT/dx) = 31*2.2*[(290-4.2)/25]

                         = 779.6624 W

Step 2.

Now, approximate boil rate of helium is:

P/ρL_{v}= [(779.6624)*(10^3g/kg)] / [(0.125)*(20900)]

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6 0
3 years ago
Two-third a number plus 4 is 7
Harman [31]

Answer:

2/3x+4=7

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Step-by-step explanation:

2/3x+4=7

-4 -4

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multiply both side by the reciprocal

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7 0
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MrRissso [65]

Formula for the area of a face of a cube: A = length x width

Let's find the area of one face.

A = 5 x 5

A = 25

Now, let's multiply the area of one face by 6 because a cube has 6 faces.

25 x 6 = 150

A = 150 square centimeters

Hope this helps! :)

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3 years ago
Find an equation for the line with the given properties. Express the equation in slope-intercept form.
EleoNora [17]

Answer:

y = 3x - 19

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Define variables

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Step 2: Plug in known variables

y = 3x + b

Step 3: Find <em>b</em>

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Step 4: Write linear equation

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8 0
3 years ago
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