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ANTONII [103]
3 years ago
12

Does (lnk)/(k^3), where as k starts at one and continues on to infinity, converge? ...?

Mathematics
1 answer:
max2010maxim [7]3 years ago
7 0
Yes. The numerator does not increase as fast as the denominator increases, causing the function's value to decrease with every subsequent increase in the value of k. This causes the function to converge at a point.
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Beth is putting up a fence in her yard so her dog can play outside. She purchased 80 feet of fencing. If the fenced area is a re
mariarad [96]

Answer:

10 feet

Step-by-step explanation:

The formula for the Perimeter fo a rectangle

= P = 2L + 2W

Where:

L = Length

W = Width

From the question

P = 80 feet

W = 30 feet

Hence:

80 = 2L + 2(30)

80 - 2(30) = 2L

80 - 60 = 2L

20 = 2L

L = 20/2

L = 10 feet

Hence, the length of the fenced area = 10 feet

4 0
3 years ago
For questions 3 – 5, an airplane is heading south at an airspeed of 540 km/hr, but there is a wind blowing from the northeast at
GuDViN [60]

First, let's calculate the horizontal and vertical components of the wind speed (W) and the airplane speed (A), knowing that south is a bearing of 270° and northeast is a bearing of 45°:

\begin{gathered} W_x=W\cos45°\\ \\ W_x=50\cdot0.707\\ \\ W_x=35.35\\ \\ \\ \\ W_y=W\sin45°\\ \\ W_y=50\cdot0.707\\ \\ W_y=35.35 \end{gathered}\begin{gathered} A_x=A\cos270°\\ \\ A_x=540\cdot0\\ \\ A_x=0\\ \\ \\ \\ A_y=A\sin270°\\ \\ A_y=540\cdot(-1)\\ \\ A_y=-540 \end{gathered}

Now, let's add the components of the same direction:

\begin{gathered} V_x=W_x+A_x=35.35+0=35.35\\ \\ V_y=W_y+A_y=35.35-540=-504.65 \end{gathered}

To find the resultant bearing (theta), we can use the formula below:

\begin{gathered} \theta=\tan^{-1}(\frac{V_y}{V_x})\\ \\ \theta=\tan^{-1}(\frac{-504.65}{35.35})\\ \\ \theta=-86° \end{gathered}

The angle -86° is equivalent to -86 + 360 = 274°.

Therefore the correct option is b.

8 0
1 year ago
It costs $100 to rent a bowling alley, plus $4 per person. The cost for any number (n) of people can be found using the expressi
AfilCa [17]

15*4+100

15+15+15+15 = 60

60+100 =

$160

7 0
3 years ago
Read 2 more answers
Can someone please help me solve and simplify this??
Viefleur [7K]

Answer:

The Answer is -x + 3.

Step-by-step explanation:

It's honestly one of the longest process'. Above is the right answer though. Hope it helped.

7 0
3 years ago
Find the surface area of the two following figures. Show all your work.
Misha Larkins [42]

Answer:

First shape: 366 in^2

Second shape: 376 in^2

Pretty sure these are correct, hope this helps!

7 0
3 years ago
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