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ivolga24 [154]
3 years ago
10

2d^3+3c^2+5 d equals 4 and c equals 3

Mathematics
2 answers:
tamaranim1 [39]3 years ago
7 0
Let's do this.

First you have to analyse the informations given.

It says : c = 3 and d = 4.

Now you merely have to substitute these two numbers in the expression given.

It gives :

2d³ + 3c² + 5
= 2(4)³ + 3(3)² + 5
= 2*64 + 3*9 + 5
= 128 + 27 + 5
= 160.

In short, the answer is 160.

Hope this helps !

Photon
aev [14]3 years ago
6 0
Lets get started :)


2d³ + 3c² + 5

The given:
d = 4
c = 3

We substitute the given into the original!
   2(4)³ + 3(3)² + 5
= 2(64) + 3(9) + 5
= 128 + 27 + 5
= 160
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Answer:  \bold{(1)\ \dfrac{19,683}{64}\qquad (2)\ 16}

<u>Step-by-step explanation:</u>

(1)           (12, 18, 27, ...)

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a_n=a_o(r)^{n-1}\\\\Given:a_o=12,\  r=\dfrac{3}{2}\\\\\\Equation:\\a_n =12\bigg(\dfrac{3}{2}\bigg)^{n-1}\\\\\\\\9th\ term:\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{9-1}\\\\\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{8}\\\\\\.\quad =\large\boxed{\dfrac{19643}{64}}

(2)\qquad \bigg(\dfrac{1}{16},\dfrac{1}{8},\dfrac{1}{4},\dfrac{1}{2}\bigg)\\\\\\\text{The common ratio is}:\\\\r=\dfrac{a_{n+1}}{a_n}\quad  r=\dfrac{\frac{1}{8}}{\frac{1}{16}}=\boxed{2}\quad \rightarrow \quad r=\dfrac{\frac{1}{4}}{\frac{1}{8}}=\boxed{2}

The equation is:

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We are given :

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Dividing both sides by 4, we get

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