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prohojiy [21]
3 years ago
11

Consider this sequence: -81.-54, 36, -24....

Mathematics
1 answer:
Murljashka [212]3 years ago
5 0

Answer:

See below in bold.

Step-by-step explanation:

It looks like the third term  should be -36.

The sequence is geometric.

The common ratio is -54/-81 =  -36/-54 = -24/-36 = 2/3 .

The sum of the first 5 terms is

(-81) * (1 - (2/3)^5) / (1 - 2/3)

= -81 * 211/243 * 3

= -211.

         

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4 years ago
What is the range of the function g(x) = |x - 12| - 2?
PtichkaEL [24]

Step-by-step explanation:

The function is given by

It is an absolute value function which has a v- shaped graph.

The vertex form of an absolute function is given by y = a|x-h| +k, where (h,k) is the vertex.

Comparing the given equation with this, we have

h = 12

k = -2

Hence, the vertex would be (12,-2).

Now, the range of the function is the set of y values for which the function is defined.

This function has vertex of (12,-2). hence, it would not take any values which are less than -2. Please see the attached graph.

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8 0
3 years ago
The storage box for a flag is in the shape of a triangular prism. What is the surface area of the box?
BARSIC [14]

*see attachment for the diagram of the triangular prism box

Answer:

528.8 in.²

Step-by-step explanation:

Surface area of triangular prism = 2(BA) + P*H

Area of triangular base (BA) = ½*b*h

b = 24.5 in.

h = 12 in.

BA = ½*24.5*12 = 147 in.²

Perimeter of triangular base = 24.5 + 17.1 + 17.1 = 58.7 in.

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Plug in the values into the surface area formula:

Surface area of prism = 2(147) + 58.7*4

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3 years ago
Berto has $12 and 3.75 per gallon how much gas can he get
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HELP PLS<br><br> The function of F is defined by f(x)=x+2<br> find F(n-4)
viktelen [127]

The function of F is defined by f(x) = x + 2, the value of f(n - 4) is given as f(n - 4) = n - 4 + 2 = n - 2

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

f(x) = x + 2

The value of f(n - 4) is given as:

f(n - 4) = n - 4 + 2 = n - 2

The function of F is defined by f(x) = x + 2, the value of f(n - 4) is given as f(n - 4) = n - 4 + 2 = n - 2

Find out more on equation at: brainly.com/question/2972832

#SPJ1

6 0
2 years ago
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