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liberstina [14]
3 years ago
13

Which expression is equivalent to 4 over 9 (2n - 3)

Mathematics
1 answer:
AlexFokin [52]3 years ago
3 0

Answer:

The result for this equation is \frac{8}{9}n - \frac{4}{3} .

Step-by-step explanation:

-Solve:

\frac{4}{9} (2n-3)

-Multiply 2n and -3 by \frac{4}{9} :

\frac{8}{9} + \frac{-12}{9}

-Reduce \frac{-12}{9} to the lowest term by extracting and canceling out 3:

\frac{8}{9}n - \frac{4}{3}

-So, the result is \frac{8}{9}n - \frac{4}{3} .

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It is found experimentally that the electric field in a certain region of Earth's atmosphere is directed vertically down. At an
sweet-ann [11.9K]

Answer:

1.176604*10^{-10} C

Step-by-step explanation:

This is flux problem (see diagram below)

Since electric field is vertical to the top and bottom of the cube. total flux will be sum of flux up and down i-e

Фtotal=Фup + Фdown = Ф 260 + Ф150

But flux is given by scalar product of Electric field and area

Ф=E.A= EA cos∅

where ∅ is the angle between two vector quantities E the electric field and A the area vector. So, total flux is

Фtotal = =E_{260} .A+E_{150} .A

=E_{260} *A cos \alpha +E_{150} *A cos \beta

=E_{260} * Acos(180)+E_{150} * Acos(0)

=-E_{260} .A  +E_{150} .A

=A(E_{150} -E_{260} )

But we know that according to Gausse's Law total flux is given by;

Total flux = q / ∈

==> q= ∈(Total flux)

q = 8.84 *10^{-12} *110^{2} (260-150)

q=1.176604 *10^{-10} C

4 0
3 years ago
I need help with this
storchak [24]

Answer:

C.   \sf \dfrac{7}{4}

D.  \sf 1\dfrac{3}{4}

Explanation:

\hookrightarrow \sf 4\dfrac{1}{4}-2\dfrac{2}{4}

\hookrightarrow \ \sf \dfrac{17}{4}-\dfrac{10}{4}

\hookrightarrow \sf \dfrac{17-10}{4}

\hookrightarrow \ \sf \dfrac{7}{4}

\hookrightarrow \ \sf 1\dfrac{3}{4}

\hookrightarrow 1.75

5 0
2 years ago
Read 2 more answers
Find the second derivative at the point (2,2), given the function below. 2x^4=4y^3
Bogdan [553]

The second derivative at the point (2,2) is 34/9

<u>Explanation:</u>

<u></u>

2x⁴ = 4y³

2x⁴ - 4y³ = 0

We first need to find dy/dx and then d²y/dx²

On differentiating the equation in terms of x

dy/dx = d(2x⁴ - 4y³) / dx

We get,

dy/dx = 2x³/3y²

On differentiating dy/dx we get,

d²y/dx² = 2x²/y² + 8x⁶/9y⁵

\frac{d^2y}{dx^2} = \frac{2 X 2^2}{2^2} + \frac{8 X 2^6}{9 X 2^5}\\  \\\frac{d^2y}{dx^2} = 2 + \frac{16}{9}\\  \\

d²y/dx² = 34/9

Therefore, the second derivative at the point (2,2) is 34/9

7 0
3 years ago
What is the slope of the line that passes through the points (5,-5) and (5, - 7)?
anyanavicka [17]

Answer:

-2/0

Step-by-step explanation:

I am pretty sure this is called undefined.

8 0
3 years ago
Read 2 more answers
Simplify: 10x - 3(2x + 5) a) 4x - 15 b) 4x - 5 -36x + 15 c) 7x - 7
Nikitich [7]
<span>10x - 3(2x + 5)
= </span><span>10x - 6x - 15
= 4x - 15

answer
</span><span>a) 4x - 15</span>
4 0
3 years ago
Read 2 more answers
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