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stich3 [128]
3 years ago
9

C(n)=-6+5(n-1) what is the 8th term in the sequence

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
5 0

Answer:

  29

Step-by-step explanation:

Put 8 where n is, then do the arithmetic.

  C(8) = -6 +5(8 -1) = -6 +5(7) = -6 +35

  C(8) = 29

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Trigonometry: If f(x)= 2sinx + cosx using exact values find f (120 degrees). if possible show steps.
Arada [10]

Answer: f(120°) = (√3) + 1/2

Step-by-step explanation:

i will solve it with notable relations, because using a calculator is cutting steps.

f(120°) = 2*sin(120°) + cos(120°)

           =2*sin(90° + 30°) + cos(90° + 30°)

here we can use the relations

cos(a + b) = cos(a)*cos(b) - sin(a)*sin(b)

sin(a + b) = cos(a)*sin(b) + cos(b)*sin(a)

then we have

f(120°) = 2*( cos(90°)*sin(30°) + cos(30°)*sin(90°)) +  cos(90°)*cos(30°) - sin(90°)*sin(30°)

and

cos(90°) = 0

sin(90°) = 1

cos(30°) = (√3)/2

sin(30°) = 1/2

We replace those values in the equation and get:

f(120°) = 2*( 0 +  (√3)/2) + 0 +  1/2 = (√3) + 1/2

3 0
3 years ago
3/4(12x−8)+3=10−1/2(6x+2)
Aleonysh [2.5K]

Answer:

x=1

Step-by-step explanation:

\frac{3}{4}(12x-8)+3=10-\frac{1}{2}(6x+2)

(9x-6)+3=10-(3x+1)

9x-6+3=10-3x-1

9x-3=9-3x

9x=12-3x

12x=12

x=1

8 0
2 years ago
Mr. Weiler has 32 students in his class he wishes to place them into 8 groups of equal size. Which of the following represents t
SCORPION-xisa [38]

option 4: 4

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hope it helps


8 0
3 years ago
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Hi right now im doing homework about common denominators and for some reason I cant understand how to do it
goldenfox [79]
It would be great if you added some more details, but for common denominators you try to find the least common number that the 2 or more of the numbers you got have!
For example:
1/2 and 2/3 if you multiply 2 by 3 and 3 by 2, they both are 6, so you would multiply 1/2 both by 3 to make it into 3/6 and 2/3 by 2 to make it into 4/6!
6 0
3 years ago
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Is this a function ?
erica [24]

Answer:

I do not believe this is a function because the points on the graph are above each other on one line.

Step-by-step explanation:

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