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3 years ago

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Use the formula v=u+at to find the velocity when .the initial velocity is 3m/s. •the acceleration is 1.5 m/s. •the time is 7 sec

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1 answer:

Ksju [112]3 years ago

5 0

Final Velocity = Initial Velocity + (Acceleration * time)

Final Velocity = ?

Initial Velocity = 3

Acceleration = 1.5

Time = 7

Plug in and solve

3+(1.5*7)

3+10.5

Velocity = 13.5m/s

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Show working please

shutvik [7]

Answer:

Step-by-step explanation:

1.159 R (remainder) 42

| ------------------------

73 | 84.649

-73

116 (brought 6 down)

-73

434 (brought 4 down)

-365

699 (brought 9 down)

-657

42 is the remainder

6 0

3 years ago

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Use any of the methods to determine whether the series converges or diverges. Give reasons for your answer.

Aleks [24]

Answer:

It means $\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}$ also converges.

Step-by-step explanation:

The actual Series is::

$\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}$

The method we are going to use is comparison method:

According to comparison method, we have:

$\sum_{n=1}^{inf}a_n\ \ \ \ \ \ \ \ \sum_{n=1}^{inf}b_n$

If series one converges, the second converges and if second diverges series, one diverges

Now Simplify the given series:

Taking"n^2"common from numerator and "n^6"from denominator.

$=\frac{n^2[7-\frac{4}{n}+\frac{3}{n^2}]}{n^6[\frac{12}{n^6}+2]} \\\\=\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{n^4[\frac{12}{n^6}+2]}$

$\sum_{n=1}^{inf}a_n=\sum_{n=1}^{inf}\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\ \ \ \ \ \ \ \ \sum_{n=1}^{inf}b_n=\sum_{n=1}^{inf} \frac{1}{n^4}$

Now:

$\sum_{n=1}^{inf}a_n=\sum_{n=1}^{inf}\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\\ \\\lim_{n \to \infty} a_n = \lim_{n \to \infty} \frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\\=\frac{7-\frac{4}{inf}+\frac{3}{inf}}{\frac{12}{inf}+2}\\\\=\frac{7}{2}$

So a_n is finite, so it converges.

Similarly b_n converges according to p-test.

P-test:

General form:

$\sum_{n=1}^{inf}\frac{1}{n^p}$

if p>1 then series converges. In oue case we have:

$\sum_{n=1}^{inf}b_n=\frac{1}{n^4}$

p=4 >1, so b_n also converges.

According to comparison test if both series converges, the final series also converges.

It means $\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}$ also converges.

5 0

3 years ago

The new cylinder can has radius of 5cm and a height of 9cm how many square centimeters of aluminum will it take to make this new

m_a_m_a [10]

Answer: $282.85\ cm^2$

Step-by-step explanation:

Given

Radius of cylinder $r=5\ cm$

The height of the cylinder is $h=9\ cm$

The surface area of a cylinder is $2\pi rh$

If only the outer is considered then, the area required is

$\Rightarrow A=2\times \dfrac{22}{7}\times 5\times 9\\\\\Rightarrow A=282.85\ cm^2$

7 0

2 years ago

You can spend up to $35 on a shopping trip.

Oksi-84 [34.3K]

A. 35-14=21 hopes this helps

7 0

3 years ago

At the mall Julie finds a sale at her favorite store. Two pair of pants will cost $42. If she wants to buy 5 pair, how much will

katovenus [111]

Divide 42 by two and then multiply by 5

5 0

3 years ago

Read 2 more answers