Answer:
(3, 10, 17, 24....)
Step-by-step explanation:
f(x) = 7x - 4
x = 1:
f(1) = 7*1 - 4 = 7 - 4 = 3
x = 2:
f(2) = 7*2 - 4 = 14 - 4 = 10
x = 3
f(3) = 7*3 - 4 = 21 - 4 = 17
then the sequence is:
(3, 10, 17, 24.....)
Well, 1/4 of 36 is 9, so 15000*9= 13500 cartridges in all
Answer:
Step-by-step explanation:
<u>Use distance formula:</u>
<u>Substitute the coordinates:</u>
rounded
Answer:
7+8+9/7*8*9 = 24/504 or 0.0476
Step-by-step explanation:
<u>EXPLANATION</u><u>:</u>
Given that
sin θ = 1/2
We know that
sin 3θ = 3 sin θ - 4 sin³ θ
⇛sin 3θ = 3(1/2)-4(1/2)³
⇛sin 3θ = (3/2)-4(1/8)
⇛sin 3θ = (3/2)-(4/8)
⇛sin 3θ = (3/2)-(1/2)
⇛sin 3θ = (3-1)/2
⇛sin 3θ = 2/2
⇛sin 3θ = 1
and
cos 2θ = cos² θ - sin² θ
⇛cos 2θ = 1 - sin² θ - sin² θ
⇛cos 2θ = 1 - 2 sin² θ
Now,
cos 2θ = 1-2(1/2)²
⇛cos 2θ = 1-2(1/4)
⇛cos 2θ = 1-(2/4)
⇛cos 2θ = 1-(1/2)
⇛cos 2θ = (2-1)/2
⇛cos 2θ = 1/2
Now,
The value of sin 3θ /(1+cos 2θ
⇛1/{1+(1/2)}
⇛1/{(2+1)/2}
⇛1/(3/2)
⇛1×(2/3)
⇛(1×2)/3
⇛2/3
<u>Answer</u> : Hence, the req value of sin 3θ /(1+cos 2θ) is 2/3.
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