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AURORKA [14]
3 years ago
6

In the equation minus m over 20 +4=7 what is first step to solve

Mathematics
1 answer:
miv72 [106K]3 years ago
7 0
Simple....

we have:

\frac{-m}{20}+4=7

We must first isolate what we want to find...or m......

So...we must..

\frac{-m}{20} +4=7
                              -4  -4

Leaving you with...

\frac{-m}{20} =3

Thus, your answer isolate the variable. (Subtract 4 from both sides.)
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Consider the following series. 1 9 1 18 1 27 1 36 1 45 Determine whether the series is convergent or divergent. Justify your ans
Vedmedyk [2.9K]

Answer:

<em>Diverges; the limit of the terms, an, is not 0 as n goes to infinity</em>

Step-by-step explanation:

<u>Convergence of Infinite Series</u>

The series is given as the terms

1 , 9 , 1 , 18 , 27 , 1 , 36 , 1 , 45 ...

For a series to be convergent, the limit of the general term an when n goes to infinity must be 0. In such cases, the sum of all terms tends to a fixed value.

Our series has two clearly different sequences, which define it as a piecewise general term:

If n is odd, then

a_n=1

Otherwise, an is an arithmetic series starting from 9 with a common difference of 9, that is

a_n=9+9(n/2-1)=4.5n

if n is even.

If we take the limit as n goes to infinity, we don't know which one should be selected, thus we must assume that any of them is a correct option, therefore both of them should converge.

The limit of the function

a_n=1

is 1 when n goes to infinity. Since it's not 0, this piece is not convergent and the entire series isn't either.

But it goes worse because of the limit of the second piece

a_n=4.5n

when n goes to infinity is infinite.

The answer is

<em>Diverges; the limit of the terms, an, is not 0 as n goes to infinity</em>

8 0
3 years ago
-12x + 18y = 21<br>(6x -9 = -9​
Leokris [45]

Answer:

x = 0 , y = 7/6

Step-by-step explanation:

Solve the following system:

{18 y - 12 x = 21

6 x - 9 = -9

In the second equation, look to solve for x:

{18 y - 12 x = 21

6 x - 9 = -9

Add 9 to both sides:

{18 y - 12 x = 21

6 x = 0

Divide both sides by 6:

{18 y - 12 x = 21

x = 0

Substitute x = 0 into the first equation:

{18 y = 21

x = 0

In the first equation, look to solve for y:

{18 y = 21

x = 0

Divide both sides by 18:

{y = 7/6

x = 0

Collect results in alphabetical order:

Answer: {x = 0 , y = 7/6

4 0
3 years ago
Every employee works 7 hours per day. every employee works 5 days per week. every employee works 49 weeks per year. how many day
andriy [413]
To determine the number of days that an employee work in a week, we simply use dimensional analysis and multiplying the number of works per week with the number of weeks in total for a year. That is,
                         employee works = (5 days per week)(49 weeks per year) 
                                                    =245 days
4 0
3 years ago
Read 2 more answers
What do u do when the question says what is an area of the rectangle Like
Anastaziya [24]

Answer:

multiply

Step-by-step explanation:

Area is measured in square units such as square inches, square feet or square meters. To find the area of a rectangle, multiply the length by the width.

6 0
2 years ago
HailyDenney2 I need your assistance please!
ExtremeBDS [4]

Answer:

60 x 35 = 2,100

609,000 / 2,100 = 290 km ^ 2

Step-by-step explanation:

3 0
3 years ago
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