Answer:
Step-by-step explanation:
Multiply the quotient 
by the divisor 
for the dividend, that is
×
Cancel the 3 on the numerator/ denominator
= 
× 
= 
=
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Answer:
D. a reflection in the y-axis, followed by a counterclockwise rotation of 270 about the origin
Step-by-step explanation:
Well, the first obvious step is to reflect it across the y-axis. Now, for the next step, since we do not have a <em>90°-clockwise rotation </em>option, we have to go with something similar to that, which would be a <em>270°-counterclockwise</em> <em>rotation</em><em>.</em><em> </em>If you think about it, since 3 × 90 is 270, and rotating this figure 90° clockwise [one rotation] would go from Quadrant III to Quadrant II, going the other way around [270°counterclockwise (three rotations)] will also go from Quadrant III to Quadrant II [to Quadrant IIII to Quadrant I to Quadrant II].
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Answer:
H(t) = 15 -6sin(2.5π(t -0.5))
Step-by-step explanation:
For midline M, amplitude A, period T and time t0 at which the function is decreasing from the midline, the function can be written as ...
H(t) = M -Asin(2π/T(t -t0))
Using the given values of M=15, A=6, T=0.8 and t0 = 0.5, the equation is ...
H(t) = 15 -6sin(2.5π(t -0.5))
