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77julia77 [94]
3 years ago
12

Select the correct difference

Mathematics
1 answer:
Harrizon [31]3 years ago
8 0
<span>B. 2d^2+6d-7. Should be the correct answer.</span>
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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:

c

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
3 years ago
If a is directly proportional to b/2 and a=1 when b=10, what is the value of a when b=35
iris [78.8K]
The value of a would be 3.5, as a=1 when b=10 means that a is worth 1/10 of b's value. 
5 0
3 years ago
The roots of Billy's plant grew to 3 inches beneath the Earth’s surface. Graph all the possible depths the roots can continue to
babymother [125]

Answer:

Step-by-step explanation:relax and claculate in ur mine

7 0
3 years ago
A limited-edition soccer ball costs $30, and the sales tax is 6%. What is the total cost?
frez [133]

Answer:

$31.80

Step-by-step explanation:

The ball will cost 100% of its price plus 6% of its price for a total of 106%.

To use percentages as a factor and multiply, they must be divide by 100, making the multiplication factor version of 106% 1.06.

Multiply the cost of the ball by your multiplication factor:

30 x 1.06 = 31.8

Money is written to two decimal places, making your answer $31.80

6 0
3 years ago
Read 2 more answers
In 2005, the price of a tv was $1599.00. In 2002, the price of the same type of tv has dropped to $399.00 Calculate the percent
xxTIMURxx [149]
<span>In 2005, the price of a TV was $1599.00.
In 2002, the price of the same type of tv has dropped to $399.00
Let’s Calculate the percent of decrease.
First subtract 1599 dollars with 399 dollars to know how much did the price of TV decreased.
=> 1 599 – 399 = 1 200 is the amount the decreased on TV’s price
=> 1 200 / 1599 = 0.75
=> 0.75 * 100% = 75%
Thus, the price of TV had been decreased to 25%, 75% of it were decreased</span>



3 0
3 years ago
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