Answer:
$51.38
Step-by-step explanation:
7.43% of 47.83=(rounded to the nearest hundredth) 3.55
7.43/100*x/47.83
x=3.55
because we are solving for x
we can also cross check by taking out the percentage
x/100*3.55/47.83
47.83x=355
x=7.42212000836
which is about 7.43%
47.83+3.55= 51.38
Answer: B) Linear; it can be written as y = -3x-6
We subtract 6 from both sides to go from the original equation to -3x-6 = y
Then we flip both sides to end up with y = -3x-6
This is in slope intercept form y = mx+b with m = -3 as the slope and b = -6 as the y intercept.
Answer:
27
Step-by-step explanation:
The rule will be
Ni=(i-1)*5+2
- i=1 → N=(1–1)*5+2=0*5+2=0+2=2
- i=2 → N=(2–1)*5+2=1*5+2=5+2=7
- i=3 → N=(3–1)*5+2=2*5+2=10+2=12
- i=4 → N=(4–1)*5+2=3*5+2=15+2=17
- i=5 → N=(5–1)*5+2=4*5+2=20+2=22
- i=6 → N=(6–1)*5+2=5*5+2=25+2=27
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Learn more about arithmetic sequences:
#SPJ2
Sin(2θ)+sin(<span>θ)=0
use double angle formula: sin(2</span>θ)=2sin(θ)cos(<span>θ).
=>
2sin(</span>θ)cos(θ)+sin(<span>θ)=0
factor out sin(</span><span>θ)
sin(</span>θ)(2cos(<span>θ)+1)=0
by the zero product property,
sin(</span>θ)=0 ...........(a) or
(2cos(<span>θ)+1)=0.....(b)
Solution to (a): </span>θ=k(π<span>)
solution to (b): </span>θ=(2k+1)(π)+/-(π<span>)/3
for k=integer
For [0,2</span>π<span>), this translates to:
{0, 2</span>π/3,π,4π/3}
