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2 years ago

match each quadratic function given in factored from with its equivalent standard from listed on the left.

Mathematics

1 answer:

Mice21 [21]2 years ago

8 0

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Find the 8th term of the geometric sequence whose common ratio is 2/3 and whose first term is 7

motikmotik

Answer:

The 8th term of the sequence is 896/2187.

Step-by-step explanation:

We want to find the 8th term of a geometric sequence whose common ratio is 2/3 and whose first term is 7.

We can write a direct formula. Recall that the direct formula of a geometric sequence is given by:

$\displaystyle x_{n} = a\left(r\right)^{n-1}$

Where a is the initial term and r is the common ratio.

Substitute:

$\displaystyle x_{n} = 7\left(\frac{2}{3}\right)^{n-1}$

To find the 8th term, let n = 8. Substitute and evaluate:

$\displaystyle \begin{aligned} x_{8} &= 7\left(\frac{2}{3}\right)^{(8) - 1} \\ \\ &= 7\left(\frac{2}{3}\right)^{7} \\ \\ &= 7\left(\frac{128}{2187}\right) \\ \\ &= \frac{896}{2187} = 0.4096...\end{aligned}$

In conclusion, the 8th term of the sequence is 896/2187.

8 0

2 years ago

Find the arc length of the semicircle.

Olegator [25]

180° because it is half of a full circle(360°)

3 0

2 years ago

I need help asap please

konstantin123 [22]

Answer:

D) - 11

Step-by-step explanation:

$g(2) = 3(2) - 4 \\ = 2 \\ \\ f(g(2)) = f(2) \\ = - 2(2) {}^{2} - 3 \\ = - 11$

6 0

3 years ago

Read 2 more answers

Can someone help me please

xxTIMURxx [149]

Answer:

the triangles are not similar.

5 0

2 years ago

What is the estimate of 90/7 divided by 1 3/4

attashe74 [19]

Answer:

7×17/49

Step-by-step explanation:

90/7 × 4/7

90×4 / 7×7

360/49

7 17/49

6 0

2 years ago