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sergij07 [2.7K]
2 years ago
8

Find the 14th term of the geometric sequence 5,-10,20

Mathematics
1 answer:
tamaranim1 [39]2 years ago
7 0

In this specific case, the <em>initial term</em> (a) is 5 and the <em>common ratio</em> (r) is -2

Henceforth, after determining what a and r are, we use the formula for the <em>nth term</em>. Which is:

a_n = a \times r^{n-1}

Therefore, the 14th term is :

\implies 5 \times  { (- 2)}^{14 - 1}  \\\implies 5 \times  {( - 2)}^{13}  \\ =\boxed { -40,960}

Hope it helps!

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What is the graph of f(x)=x^2-2x+3
Neko [114]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

f(x)=x^{2}-2x+3

This is the equation of a vertical parabola open upwards

The vertex is a minimum

The vertex is the point (1,2)

The y-intercept is the point (0,3)

The function does not have x-intercepts

see the attached figure

7 0
3 years ago
Mervin has some cartons of milk. He sold 2/5 of milk in the morning. He sold 3/4 of the remainder in the afternoon. 24 more cart
sergejj [24]

2/5 were sold in the morning. This is equal to 40% of the total.  That leaves 60% leftover.

 

3/4 were sold in the afternoon. This is equal to 75% of the 60% leftover or 45% of the total (.6x.75).

 

The difference between the two sales is 24 cartons or 5% (45%-40%). If 5% is equal to 24 then you can cross multiply to see what is the equivalent number of cartons out of 100%.

 

5/100 = 24/x

5x = 24(100)

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x = 480

 

ANSWER: 480 cartons

6 0
3 years ago
If f(x)= 2x-2 and g(x) =x^2 -8x+19, then f(x)=g(x) for what values of x?
frozen [14]

Answer:

24.

Step-by-step explanation:

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7 0
3 years ago
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-3 3/7 * 2 1/2 Has o be in simplest form!
OverLord2011 [107]

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Step-by-step explanation:

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11 POINTS PLZ HELP EMERGENCY
Bad White [126]

Part A

The given expression is:

(-5(1+2i)+3i(3-4i)

We expand to get:

-5-10i+9i-12i^2

Note that i^2=-1

12-5-10i+9i

-5-10i+9i+12

7-i

Part Bi)

The given expression is;

\sqrt{-50}

We simplify to get:

\sqrt{25\times 2\times -1}

\sqrt{25\times} \sqr{2}\times \sqrt{-1}

Note that:

\sqrt{-1}=i

5\sqr{2}i

This is now of the form a+bi, where a=0,b=5\sqr{2}.

This explains why it is a complex number;

Part bii)

The given expression is :

\frac{\sqrt{-50} }{\sqrt{5}}

We simplify to get

\sqrt{\frac{-50 }{5}}

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Part C

We want to simplify:

i^{22}

We rewrite in terms of i^2

i^{22}=(i^2)^{11}

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5 0
3 years ago
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