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3 years ago

The first term of a geometric sequence is −2 and the common ratio is 3. What is the fourth term of the sequence?

Mathematics

1 answer:

Nat2105 [25]3 years ago

5 0

Answer: -54

Step-by-step explanation:

The question is the first term of a geometric sequence is −2 and the common ratio is 3. The formula for finding the nth term of a geometric sequence is: ar^n-1

where,

a = first term = -2

r = common ratio = 3

n = number of terms = 4

The solution has been attached. The answer is -54

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Sonja [21]

Answer:

Not a function.

Does not pass vertical line test.

Step-by-step explanation:

Something called a vertical line test is used to determine if a relation that has been graphed is a function or not.

We say if it passes then it is a function.

It will pass if you are able to draw infinitely many vertical lines covering the whole graph and each vertical line either touches your relation once or none.

If a single vertical line that you draw touches more than once, then it isn't a function.

When I say draw, I don't mean you should physically do it, but more so imagine it.

Now this particular relation is not a function because I can find a vertical line that touches more than once. Take the vertical line x=5 for example.

It will touch at (5,-6) and (5,6). You cannot have an x assigned to more than one y.

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3 years ago

One liter of paint covers 100 square feet. How many gallons of paint does it take to cover a room whose walls have an area of 80

mezya [45]

1 gallon is 3.78 L
100 sq feet needs 1 L
800 sq feet needs x

100/800 = 1/x
100x = 800
x = 800/100
x = 8 L

If you use the fact that 4 L = 1 gallon then you need 2 gallons of paint. I you use the more accurate 3.78 L then
1 gallon = 3.78 L
x gallon = 8 L

3.78 x = 8*1
x = 8/3.78
x = 2.12 gallons.

I guess you could say that 1 gallon and 1 L would do you.

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3 years ago

Determine the average speed of the current in a river if a boat moves at 20 miles/hour in still water and takes 3 hours to trave

Taya2010 [7]

The speed of the current in a river is 6 miles per hour

Solution:

Given that,

Speed of boat in still water = 20 miles per hour

Time taken = 3 hours

Distance downstream = 78 miles

To find: Speed of current

If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then:

Speed downstream = (u + v) km/hr

Speed upstream = (u - v) km/hr

Therefore, speed downstream is given as:

$\text{ speed downstream } = \frac{distance}{time} = \frac{78}{3}\\\\\text{ speed downstream } = 26 \text{ miles per hour }$

We know that,

Speed downstream = (u + v)

26 = 20 + v

v = 26 - 20

v = 6 miles per hour

Thus speed of the current in a river is 6 miles per hour

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3 years ago

If the expression 5+2x was evaluated for x=4 it’s value would be

iris [78.8K]

Answer: 13

Step-by-step explanation:

5+2x

When x=4

5+2(4)

5+8

= 13

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3 years ago

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Can someone help me on these

grandymaker [24]

Answer:

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3 years ago