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AlekseyPX
3 years ago
8

Use the comparison test to determine if the series is convergent or divergent. 6/3+6/9+6/27+...

Mathematics
1 answer:
lubasha [3.4K]3 years ago
4 0
I believe the series is divergent

Hope this helps !!!!!!!!!!!!
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What is the gradient of the graph shown below. Give answer in simplest for
katovenus [111]

Answer:

1

Step-by-step explanation:

Choose two points on the line:  (-5, 0) and (0, 5)

Let the first point (x_1,y_1) = (-5, 0)

Let the second point (x_2,y_2) = (0, 5)

Use the gradient formula:

\textsf{gradient}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{5-0}{0-(-5)}=1

----------------------------------------------------------------------------------------------------

If you want to find the equation of the line, use the point-gradient form of a linear equation:  y-y_1=m(x-x_1)

(where m is the gradient and (x_1,y_1) is a point on the line)

Substituting the values into the formula:

\implies y-0=1(x-(-5))

\implies y-0=x+5

\implies y=x+5

Therefore, the equation of the line is y = x + 5

3 0
2 years ago
The work of a student to solve the equation 3(2x − 4) = 8 + 2x + 6 is shown below:
Alexeev081 [22]

Answer:

The student made the error at step 2.

Step-by-step explanation:

The correct step will be:

Step 2; 6x − 12 = 14 + 2x

As 3 will be multiplied with 2x and 4 which will give 6x − 12

5 0
3 years ago
I need help on this problem please
Marysya12 [62]

Answer:

rectangle

Step-by-step explanation:

it would be a rectangle i believ. you can prove it by creating a coordinate plane and placing the points and then connecting the dots

5 0
4 years ago
If one outlier is excluded from a data set, what must happen to the median?
anzhelika [568]
I think that the median decreases, but not so sure.
8 0
3 years ago
Maria has recently retired and requested an extra ​$444.00 per year in income. She has $ 5400 to invest in an​ A-rated bond that
Dimas [21]

Answer:

$2400 in A rated bond and $3000 in B rated bond.

Step-by-step explanation:

We have been given that Maria has recently retired and requested an extra ​$444.00 per year in income.

We can represent this information in an equation as:

A+B=5400...(1)

She has $5400 to invest in an​ A-rated bond that pays 10% per annum or a​ B-rated bond paying 6% per annum.

0.10A+0.06B=444...(2)

From equation (1), we will get:

A=5400-B

Substitute this value in equation (2):

0.10(5400-B)+0.06B=444

540-0.10B+0.06B=444

540-0.04B=444

540-540-0.04B=444-540

-0.04B=-96

\frac{-0.04B}{-0.04}=\frac{-96}{-0.04}

A=2400

Therefore, Maria should invest $2400 in A-rated bond.

Substitute A=2400 in equation (1):

2400+B=5400

2400-2400+B=5400-2400

B=3,000

Therefore, Maria should invest $3000 in B-rated bond.

6 0
3 years ago
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