Answer:
4k^3 + k^2 - 2k + 7
Step-by-step explanation:
Hope this helps, and good luck
Answer:
3118.7ft
Step-by-step explanation:
Given data
Circumference= 9,799 ft
We want to find the diameter, but we need to get the radius
C= 2πr
9,799=2*22/7*r
9,799=2*3.142*r
9,799=6.284r
r=9,799/6.284
r= 1559.35
Hence the diameter is =1559.35*2
Diameter=3118.7ft
I'm only going to alter the left hand side. The right side will stay the same the entire time
I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)
So with that in mind, this is how the steps would look:
tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x
Identity is confirmed
Answer:
By excluding (10, 15), a better description can be given for the data set.
Step-by-step explanation:
Overall, this data seems to suggest a decreasing trend. The value (10, 15) is an outlier; if we remove it, the trend appears to be stronger. Thus if we exclude this value we can give a better description of the data set.
Think of debt to GDP as a fraction. Debt / GDP
<span>So the two ways the ratio can decrease is if the nominator decreases (for example 2/3 goes to 1/3), or the denominator increases (1/3 goes to 1/4).
Dose this help?</span>
