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Lelechka [254]
3 years ago
10

the 2nd term in a geometric sequence is 20 the 4th term in the same sequence is 45/4 or 11.25 what is the common ratio?

Mathematics
2 answers:
lbvjy [14]3 years ago
5 0
Let x be the common ratio and y be the 3rd term

11.25/x=y     This means the fourth term divided by the common ratio will get the third term
20x=y           This means the second term multiplied by the common ratio will get the third term

11.25/x=20x        Set the two y's equal to each other, and solve for x!
20x^2=11.25
x^2=.5625
x=+-√.5625
x=.75 or -.75
navik [9.2K]3 years ago
3 0
__ , 20, __, 11.25

11.25 = 20 * r^(3-1)
11.25/20 = r^2
0.5625 = r^2
sqrt 0.5625 = r
0.75 = r...so common difference is 0.75 or 3/4




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3 0
3 years ago
The scale of a model train is 1 inch to 13.5 ft. One of the cars of the model train is 5inches long. What is the length in feet
aleksklad [387]

Answer:

The length of the actual train's car is <u>67.5 feet.</u>

Step-by-step explanation:

Given:

The scale of a model train is 1 inch to 13.5 ft.

Now, to get the length of the actual car of the train.

Let the length of actual train's car be x.

And, the length of the car of model train = 5\ inches\ long.

<em>According to the scale of the model train, 1 inch is equivalent to 13.5 ft. </em>

<em>Thus, 5 inches is equivalent to </em>x.<em />

Now, to get the length of actual train's car using cross multiplication method:

\frac{1}{13.5} =\frac{5}{x}

By cross multiplying we get:

x=67.5\ feet.

Therefore, the length of the actual train's car is 67.5 feet.

7 0
3 years ago
Pls help me it's due today​
Dimas [21]

Answer:

r³ + 15r² - 10r - 4

Step-by-step explanation:

First, note you can remove the brackets, in this case they contribute nothing at all.

Then, group the like terms and add them, e.g., we have 3r³ and -2r², they add up to r³.

Finally, order them from greatest power of r to smallest power of r.

That's all!

8 0
3 years ago
LET me know how you got the answer
andre [41]

6/2*3 / 3(3)

First simplify the numerator: 6/2*3 = 3*3 = 9

Next simplify the denominator: 3(3) = 3*3 = 9

So you have 9/9, which equals 1.


The 3rd answer is correct.

6 0
3 years ago
Read 2 more answers
What is the value of -12- (-35)?
maksim [4K]

Answer:

-12-(-35)

=-12+35

=23

5 0
3 years ago
Read 2 more answers
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