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Mkey [24]
3 years ago
14

Given the terms a10 = 3 / 512 and a15 = 3 / 16384 of a geometric sequence, find the exact value of the term a30 of the sequence.

Mathematics
1 answer:
GenaCL600 [577]3 years ago
5 0
The answer is \frac {3}{2^{29}}
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Ten less than half of a number(x) is 6.
Likurg_2 [28]

Answer:

x = 32

Step-by-step explanation:

Given the following data;

Unknown number = x

Translating the word problem into an algebraic equation, we have;

\frac {x}{2} - 10 = 6

Lowest common denominator (LCD) = 2

We multiply all through by 2;

2* \frac {x}{2} - 2*10 = 2*6

x - 20 = 12

x = 12 + 20

x = 32

Therefore, the unknown number is 32.

3 0
3 years ago
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romanna [79]

Answer:

31 + 71 = 102

102/100

1.02

Step-by-step explanation:

7 0
3 years ago
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rewona [7]
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3 years ago
In rhombus ABCD, diagonals AC and BD meet at point E. If the measure of angle DAB is 46 degrees, find the length of EB.
slamgirl [31]

Answer:

  EB ≈ 1.563 in

Step-by-step explanation:

The diagonals of a rhombus divide the figure into four congruent right triangles. Angle DAB is bisected by EA, so angle EAB is 46°/2 = 23°. EB is the side opposite, so the relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(EAB) = EB/AB

  EB = (4 in)sin(23°) . . . . . . multiply by the hypotenuse

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3 0
2 years ago
What is the vertex for this function? y = 3x^2 + 12x + 5
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