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natta225 [31]
3 years ago
15

Find the 14th term of the geometric sequence 2, 6, 18,

Mathematics
1 answer:
butalik [34]3 years ago
6 0

The geometric sequence is starting with 2 and multiplying by 3 every time. We can get the rule of this sequence by...

If 2 is a_0, 6 is a_1, 18 is a_2, etc.

a_n=2*3^n

For the 14th term, which is a_13, the value is 2*3^13.

Using a calculator because I'm too lazy to calculate 3^13 sorry, we can get.

3188646

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A taxi service offers a ride with an $5 surcharge and charges $0.50 per mile.
Butoxors [25]

Answer:

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Step-by-step explanation:

x = (30 - 5) / 0.50

<em>Subtract To Solve Parentheses</em>

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7 0
3 years ago
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konstantin123 [22]

For the equation  F(x) = ax² + bx + c we have:

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F(x) = -3x² + 18x + 3    ⇒  a = -3, b = 18

a < 0    ⇒   the function has a maximum value

Quadratic function has the maximum value (or minimum) at vertex of its parabola.

The maximum value is k at x=h where:  h=\dfrac{-b}{2a}  and  k = F(h)

h=\dfrac{-18}{2\cdot(-3)}=3\\\\F(3)=-3\cdot3^2+18\cdot3+3=-27+54+3=30

Therefore:

<h3> The function has a maximum value of 30 at x = 3</h3>

3 0
1 year ago
A patio 2 pairs of two parallel sides and 2 pairs of sides that are the same length there are 4 square corners what shape is the
Tems11 [23]

Answer:

The patio is a rectangle

Step-by-step explanation:

Since it is given that we have 2 pairs of two parallel sides, which implies 4 sides, this thus shows that the shape is a quadrilateral since, only quadrilaterals have 4 sides. Also, 2 pairs of sides are the same length, and are parallel, it shows that the shape is likely a rectangle.

Finally, there are 4 square corners on the shape which implies 4 right angles. This confirms that our shape is a rectangle since only a rectangle has 2 pairs of two parallel sides and 2 pairs of sides that are the same length there are 4 square corners.

So, the patio is a rectangle.

3 0
3 years ago
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Answer:

a.) Commutative Property of addition

Step-by-step explanation:

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o-na [289]

Answer:

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