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3 years ago

Divide using long division. (9x2 + 3x3 + 8) ÷ (x − 2)

Mathematics

1 answer:

Tomtit [17]3 years ago

3 0

Answer:

3x2+15x+30 with a remainder of 68

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Given that the series kcoskt kº +2 k=1 converges, suppose that the 3rd partial sum of the series is used to estimate the sum of

3241004551 [841]

Answer:

Step-by-step explanation:

Given that:

$\sum \limits ^{\infty}_{k=1} \dfrac{kcos (k\pi)}{k^3+2}$

since cos (kπ) = $-1^k$

Then, the series can be expressed as:

$\sum \limits ^{\infty}_{k=1} \dfrac{(-1)^kk)}{k^3+2}$

In the sum of an alternating series, the best bound on the remainder for the approximation is related to its $(n+1)^{th$ term.

∴

$\sum \limits ^{\infty}_{k=1} \dfrac{(-1)^{(3+1)}(3+1))}{(3+1)^3+2}$

$\sum \limits ^{\infty}_{k=1} \dfrac{(-1)^{(4)}(4))}{(4)^3+2}$

$= \dfrac{4}{64+2}$

$=\dfrac{2}{33}$

5 0

2 years ago

If the area of a parallelogram is 9.6cm² and base is 1.2 cm, then the corresponding height is:

julia-pushkina [17]

Answer:

Height is 8cm

Step-by-step explanation:

A= bxh

9.6 = 1.2 x h

÷1.2

8 = h

Check:

8 x 1.2= 9.6cm

Hope this helps!

8 0

3 years ago

I NEED HELP PLEASE!

jeyben [28]

9514 1404 393

Answer:

y = 1/4x + 5

Step-by-step explanation:

The given line has a "rise" of -8 for a "run" of 2, so a slope of ...

m = rise/run = -8/2 = -4

The perpendicular line will have a slope that is the opposite of the reciprocal of this slope. Its slope will be ...

-1/m = -1/(-4) = 1/4

The equation you're looking for will have an x-coefficient of 1/4. The suitable choice is ...

y = 1/4x + 5 . . . . the third choice

5 0

2 years ago

Somebody help me please

posledela

130 degrees.

ADB = 90 degrees
BDT=40 Degrees

Therefore, TDS = ADB(90)+BDT(40)=130 degrees

8 0

3 years ago

It takes 99 apples to make 9 pies. How many apples would it take to 4 pies? (Hint simplify your ratio first)

kolbaska11 [484]

Answer:

it would take 36 apples to make 4 pies.

Step-by-step explanation:

9 x 4 = 36

4+4+4+4+4+4+4+4+4= 36

4 0

3 years ago