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AleksandrR [38]
2 years ago
13

You have seen that the total number of lights in a triangular lighting rig is given by T(n) = n2/2 + n/2, while T(n+1) = n2/2 +

3n/2 + 1. If T(n) times T(n+1) = f(n), what is the reduced form of f(n)?
Mathematics
1 answer:
inn [45]2 years ago
8 0
Based on the scenario, the reduced form of f(n) is : 

f(n) = n^4/4+n^3 + 5n^2/4+n/2

or, it could also be written as

n/4 (n+1) (n^2 + 3n + 2)

hope this helps
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Can you please help me thanks
mash [69]

Answer:

x = 9.6

Step-by-step explanation:

Before we can figure out what x is, we need to figure out what the unlabeled side is. To figure that out, multiply the hypotenuse (12) by the sine of the angle labeled (34)

12 * sin(34)

<em>sin(34) equals 0.559192903470747; I'll round it to 0.6 for convenience.</em>

12 * 0.6

<em>Now simply multiply 12 by 0.6 to get 7.2.</em>

The unlabeled side is approx. 7.2 units long.

Now we know what the unlabeled side is. Now, to find x, find the square root of 12 squared minus 7.2 squared.

x = √12² - 7.2²

<em>12 squared is 144; 7.2 squared is 51.84.</em>

x = √144 - 51.84

<em>Subtract 51.84 from 144 to get 92.16.</em>

x = √92.16

<em>The square root of 92.16 is 9.6 (on the spot!).</em>

x equals 9.6.

6 0
2 years ago
74y−8−78y=−4y−8 how many solutions
Vera_Pavlovna [14]

Answer:

there is an  infinet amount of answers.

Step-by-step explanation:

4 0
3 years ago
A triangle has a base of x^1/3 m and a height of x^1/2 m. If the area of the triangle is 16 m^2​, what are the base and height o
Sliva [168]
Area = (base times height) / 2

Can rewrite it as

A= b * h * 1/2

16 = (x^(1/3)) * ( x^(1/2)) * (1/2))
Multiply by 2 to simplify
32 = x^(1/3) * x^(1/2)
32=x ^(5/6)
X=64

Base = 4
Height = 8

Please look below at how you multiply variables that have fractions as exponents (you need to add the exponents, common denominator and all that)

7 0
2 years ago
A rectangle has vertices (r,t) , (r,s) and (t,t). find the fourth vertex
Andrej [43]

Answer:

(t,s)

Step-by-step explanation:

this point has the x value t and the y value s that is missing.

4 0
2 years ago
OMGGG!!! ACTUALLY SOMEONE PLEASE HELP!!! PLEASE!!! THIS IS PAST DUE!!! HELLLLP!! ANSWER ALL!!!!! HELP ME!!!!
8_murik_8 [283]

y-intercept: 8

slope: 1/2

equation: 1/2x + 8

Hope this helps! :)

5 0
3 years ago
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