1. 22
2.34
3. first one
hope this helps
Answer:
B. 0.35 + 0.03x = 0.45 + 0.02x
Step-by-step explanation:
I don't really know how to explain it, but it is correct.
9514 1404 393
Answer:
Step-by-step explanation:
The tangent of the angle can be found using the identity for the tangent of the difference of angles.
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))
The tangent of the angle of each vector is the ratio of the j coefficient to the i coefficient.
tan(α) = -2/3
tan(β) = 4/7
tan(α-β) = (-2/3 -4/7)/(1 +(-2/3)(4/7))
= (-14-12)/(21 -8) = -26/13 = -2
Then the magnitude of the angle between the vectors is ...
arctan(2) ≈ 63.43°
Answer:
(s*t)(-7) = 987
Step-by-step explanation:
s(x) = 2 - x²
t(x) = 3x
To find (s*t)(x), multiply s(x) and t(x).
(s*t)(x) = (2 - x²)(3x)
(s*t)(x) = 6x - 3x³
Now that you have (s*t)(x), plug -7 in.
(s*t)(-7) = 6(-7) - 3(-7)³
(s*t)(-7) = 6(-7) - 3(-343)
(s*t)(-7) = -42 + 1029
(s*t)(-7) = 987
