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sergiy2304 [10]
3 years ago
10

The sum of 30 times (1-3)^(n-1) from n=1 to infinity

Mathematics
1 answer:
kati45 [8]3 years ago
7 0

I can’t do it rn so just dm me later

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PLEASE HELP!!! 15 PTS!!
kherson [118]

Answer:

\large\boxed{C.\ (2,\ -45^o)}

Step-by-step explanation:

Regular coordinates (x, y)

Polar coordinates (r, φ)

r=\sqrt{x^2+y^2}\\\\\psi=\arctan\frac{y}{x}

We have the point

(\sqrt2,\ -\sqrt2)

Substitute:

r=\sqrt{(\sqrt2)^2+(-\sqrt2)^2}=\sqrt{2+2}=\sqrt4=2\\\\\psi=\arctan\left(\frac{-\sqrt2}{\sqrt2}\right)=\arctan(-1)=-45^o

6 0
3 years ago
2. Write the equation of a circle that has a diameter of 12 units if its center is at (4,7).
ahrayia [7]

Answer:

The Answer is B

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here diameter = 12, thus radius = 12 ÷ 2 = 6 and (h, k) = (2.5, - 3.5), thus

(x - 2.5)² + (y - (- 3.5))² = 6², that is

(x - 2.5)² + (y + 3.5)² = 36 ← equation of circle

5 0
3 years ago
In one month Sierra earned $400 and $100 was withheld from income tax. Suppose she makes $600 next month. How much will be withh
valentina_108 [34]

Answer:

$150

Step-by-step explanation:

it is $25 income tax every $100 earned so 25 x 6 = 150

6 0
3 years ago
Now heres the tricky part​
loris [4]

13. Answer: n ≥ 108

<u>Step-by-step explanation:</u>

18 ≤ n ÷ 6

<u>×6 </u>  <u>    ×6 </u>

108 ≤ n       →   n ≥ 108

Note: The line under the inequality symbol represents a closed dot

Graph: 108 ·---------------→

************************************************************************************

14. Answer: x > -4

<u>Step-by-step explanation:</u>

 -3x <  12

<u>÷(-3) </u>  <u>÷(-3) </u>

    x > -4      <em>Flip the inequality sign when × or ÷ by a negative </em>

Note: No line under the inequality symbol represents an open dot

Graph: -4 o-----------→

4 0
3 years ago
In which number is the digit 5 one hundred times larger than it is in the number 253?
Paraphin [41]
The answer is B.
I timesed 50 by 100 and 1,000. So 5 would be in the thousands place.
7 0
3 years ago
Read 2 more answers
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