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Delicious77 [7]
3 years ago
9

Which formula can be used to describe the sequence? –81, 108, –144, 192, ...

Mathematics
1 answer:
ale4655 [162]3 years ago
8 0

Answer:

a(n) = -81(-4/3)^(n - 1)

Step-by-step explanation:

The first term is -81.  From -81 we obtain the next term, 108, by multiplying -81 by -4/3.  Note how (-4/3)(108) = -144 as anticipated.

Thus, the common ratio is -4/3.

The explicit function for this geometric series is

a(n) = -81(-4/3)^(n - 1)

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3. The ratio of blue marbles to white
SSSSS [86.1K]

Answer:

C 40

Step-by-step explanation:

1 blue : 2 white

multiply both sides of the proportion by 20 to reach 20 blue marbles

20 blue: 40 white

7 0
3 years ago
Read 2 more answers
Find the area of the region shaded in green. Use 3.14 to approximate pi.
8090 [49]

Answer:

254 cm² (to 3 s.f.)

Step-by-step explanation:

Area of shaded region

= area of large circle -area of smaller circle

\boxed{area \: of \: circle = \pi {r}^{2} }

Radius of large circle= 15cm

Radius of smaller circle= 12cm

Area of shaded region

= π(15²) -π(12²)

= 225π -144π

= 81π

= 81(3.14)

= 254.34

= 254 cm² (3 s.f.)

3 0
3 years ago
Modeling with systems of linear inequalities
NeX [460]
Huh what you mean.....
8 0
3 years ago
Find the measure of the exterior angle.
PtichkaEL [24]

Answer:

1) 128°

2) 126°

3) 108°

<h2>Question one:</h2>

   The square in the corner means 90°. If you add the interior angles of any triangle together, you get 180. in this case, x is in exterior angle, so you subtract it from 180 to get the interior angle.  

38 + 90 + (180-x) = 180

38 + 90 + 180 - x = 180

38 + 90 + 180 - 180 - x = 0

38 + 90 + 180 - 180 = x

128 = x

<h2>Question two:</h2><h2></h2>

again, adding all the interior angles makes 180°. use this to make the equation.

3x + (5x-6) + 90 = 180

3x + 5x - 6 = 90

8x = 96

x = 12.

   x isn't the answer the question wants, however. if you look at the drawing, the angle that's supplementary to 5x-6 is the exterior angle. so,

180 - (5x-6) = the answer

180 - 5x + 6 = the answer

substitute x for 12

180 - 60 + 6 = the answer

126 = x

<h2>Question three</h2>

again, adding all the interior angles together makes 180°.

(a + 10) + 44 + (180-2a) = 180

a + 10 + 44 + 180 - 2a = 180

-a + 234 = 180

234 - 180 = a

54 = a

however, the question is looking for the exterior angle, not a. in this case, the exterior angle is 2a, so just multiply 54 by 2.

x = 108

8 0
3 years ago
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horrorfan [7]
What’s the question?
6 0
2 years ago
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