MATHEMATICS COLLEGE

BRAINLEST Find the sum of the first 6 terms of the infinite series: 1 - 2 + 4 - 8+...

Answers

Answer 1

Answer:

Answer:

-21

Step-by-step explanation:

1-2+4-8+16-32

=-21

Answer 2

Answer:

Answer:

The sum of the first 6 terms of the infinite series will be - 21.

Step-by-step explanation:

In this case, the infinite geometric series 1 - 2 + 4 - 8 + ... is represented by the following summation,

$\sum _{{k=0}}^{{n}}(-2)^(k)$

Therefore if we continue this pattern, the first 6 terms will be 1 - 2 + 4 - 8 + 16 - 32. Adding these terms,

1 - 2 + 4 - 8 + 16 - 32

= - 1 + 4 - 8 + 16 - 32

= 3 - 8 + 16 - 32 = - 5 + 16 - 32

= 11 - 32 = Solution : - 21

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A company has two factories, factory A and factory B. The cost per item to produce q items in factory A is 200 + 3q q . The cost per item to produce q items in factory B is 400 + q 3q . Find an expression for the sum of these costs per item. Then divide this expression by 2 to find an expression for the average cost per item to produce q items in each factory.

Answers

Answer:

100

Step-by-step explanation:

200+3qq+400+q3q

200+3q²+400+3q²

3q²-3q²+400-200

q²=200

q²=200/2

q²=100

What percent of 68 is 34

Answers

Answer:

Step-by-step explanation:

Rosa graphs the line y = 3x + 5.then she dilates the line by a factor of 1/5 with (0,7) as the center of dilation .

Answers

The equation of the dilated line is y = (3/5)x + (33/5), and it passes through the point (0,7).

How to measure dilation?

To dilate the line y = 3x + 5 by a factor of 1/5 with (0,7) as the center of dilation, we can follow these steps:

Shift the line so that the center of dilation is at the origin. To do this, we subtract 7 from the y-intercept of the original line, giving us y = 3x - 2.

Apply the dilation factor to the line. To do this, we multiply the coordinates of each point on the line by 1/5. This gives us the new equation:

y = (3/5)x - (2/5)

Shift the line back to its original position. To do this, we add 7 to the y-intercept of the dilated line, giving us the final equation:

y = (3/5)x + (33/5)

Therefore, the equation of the dilated line is y = (3/5)x + (33/5), and it passes through the point (0,7).

To know more about dilation follow

brainly.com/question/10253650

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Answer:

Different slope of 3

Step-by-step explanation:

Just did it

Which of the following functions has a range of all real numbers?

Answers

Answer:

Step-by-step explanation:

The dots cannot intersect

Final answer:

A function having a range of all real numbers is a function where any output value can be achieved. An example is y=sinx, which oscillates continuously between -1 and 1, thus covering all real numbers in its range.

Explanation:

The function which has a range of all real numbers is a function where any output (y-value) is possible, irrespective of the input. The range of a function is the complete set of possible output values (y-coordinates), which result from using the function formula. An example of a function with a range of all real numbers is y=sinx. Since y=sinx oscillates between -1 and 1, given a large number of repetitions (or a continuous plot from -infinity to +infinity), all real numbers in your range (-1 to 1) are represented.