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slavikrds [6]
3 years ago
6

PLEASE HELP I NEED THIS WITHIN THE HOUR OR I'LL FAIL!

Mathematics
1 answer:
UNO [17]3 years ago
6 0
1:This is a parabola by the looks of the equation and the fact that it's a satellite dish. The vertex of the equation is (-6,0) and the focus is 2/4, 1/2. 1/2 plus -6 is -5.5. the focus is (-5.5,0).

This answer is only true if the actual equation is y^2 not 2y 
2:<span>y=-(x+3)^2/8+1

3:</span>This is the answer(–1.25, –3),

4:

answer is: x^2=-12y
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The first 4 terms of a 10-term geometric series are listed below. Which expression represents the sum
Stella [2.4K]

Given:

First 10 term of a geometric series are:

\dfrac{16}{25}+\dfrac{8}{5}+4+10+...+a_10

To find:

The expression that  represents the sum of the series.

Solution:

The first term of the given geometric series is:

a_1=\dfrac{16}{25}

The common ratio of the given geometric series is:

r=\dfrac{a_2}{a_1}

r=\dfrac{\dfrac{8}{5}}{\dfrac{16}{25}}

r=\dfrac{8}{5}\times \dfrac{25}{16}

r=\dfrac{5}{2}

The sum of first n terms of a geometric sequence is:

S_n=\dfrac{a_1(1-r^n}{1-r}

Where r is the common ratio.

Putting a_1=\dfrac{16}{25},r=\dfrac{5}{2},n=10 in the above formula, we get

S_{10}=\dfrac{16}{25}\left(\dfrac{(1-(\dfrac{5}{2})^{10}}{1-\dfrac{5}{2}}\right)

Therefore, the correct option is C, i.e., \dfrac{16}{25}\left(\dfrac{(1-(\dfrac{5}{2})^{10}}{1-\dfrac{5}{2}}\right).

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