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Salsk061 [2.6K]
3 years ago
9

Determined to find the slope(1,7K) and (-3,5k)​

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
4 0

9514 1404 393

Answer:

  slope = k/2

Step-by-step explanation:

The slope formula is useful for finding slope.

  m = (y2 -y1)/(x2 -x1)

  m = (5k -7k)/(-3 -1)

  m = -2k/-4

  m = k/2

The slope is k/2.

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Consider the force field and circle defined below.
grin007 [14]

By Green's theorem,

\displaystyle\int_{x^2+y^2=9}\vec F(x,y)\cdot\mathrm d\vec r=\iint_D\left(\frac{\partial(xy)}{\partial x}-\frac{\partial(x^2)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=\iint_Dy\,\mathrm dx\,\mathrm dy

where C is the circle x^2+y^2=9 and D is the interior of C, or the disk x^2+y^2\le1.

Convert to polar coordinates, taking

\begin{cases}x=r\cos\theta\\y=r\sin\theta\end{cases}\implies\mathrm dx\,\mathrm dy=r\,\mathrm dr\,\mathrm d\theta

Then the work done by \vec F on the particle is

\displaystyle\iint_Dy\,\mathrm dx\,\mathrm dy=\int_0^{2\pi}\int_0^3(r\sin\theta)r\,\mathrm dr\,\mathrm d\theta=\left(\int_0^{2\pi}\sin\theta\,\mathrm d\theta\right)\left(\int_0^3r^2\,\mathrm dr\right)=\boxed0

4 0
2 years ago
In year, 2004, I put $20.00 into an account to save. This account annual interest fee is 0.002%. However, every 10th year the in
olchik [2.2K]

9514 1404 393

Answer:

  $20.01

Step-by-step explanation:

In 2004–2012, the interest rate is 0.002%. In 2013, it is 0.004%. In 2014–2021, the interest rate is 0.002%. That is, in the 18 years between 2004 and 2021 (inclusive), the interest rate is 0.002% for 17 of them. The effective account multiplier is ...

  (1.00002^17)(1.00004^1) = 1.00038006801

Then the account balance is ...

  $20 × 1.00038006801 ≈ $20.01

_____

<em>Additional comment</em>

The annual interest earned on $20.00 is $0.0004. If the account balance is rounded to the nearest cent annually, at the end of the 18 years, the balance will still be $20.00. Not enough interest is earned in one year to increase the balance above $20. At the end of the 18 years, the amount of interest earned is 0.76¢ (a fraction of a penny) <em>only if there is no rounding in intervening years</em>.

7 0
2 years ago
In the diagram below, m A = 59°, m B = 55° and m C = 78°. Find m D.​
masya89 [10]

Answer:

D=36

Step-by-step explanation:

All angles of the triangle add up to 180. Subtract 180-59-55=66

Then the missing measurement is a vertical which means that E=66.

So then 180-78-66=36

3 0
3 years ago
Thank you!!<br><br>If you can answer this for me
Tcecarenko [31]
The answer is 12 inches
5 0
3 years ago
If you don’t know I don’t answer (NO LINKS ) please helllllppppp
Marina CMI [18]

Answer:

Step-by-step explanation:

1. 6.96 in

2. 2.6 in

3. 8.1 in

4. 5.6 m

5. 1.89 cm

6. 6 in

6 0
3 years ago
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