In this question, it is given that,
Audrey's home is worth $160,900 and is assessed at 60% of market value .
And we have to find Audrey's home assessed value .
And for that we have to find 60% of $160,900. That is 0.6 * 160900.
Therefore the assessed value of Audrey's home is $96450 . And that's the required answer .
which equation represents a line that passes through (5 1) and has a slope of
The equation of line with point (5,1) and slope ½ is (y-1) = ½ (x-5).
What is the equation of a line?The equation of a line is given as:
[tex]\rm y=mx+c[/tex]
The equation for the point on slope line is given as:
[tex]\rm (y-y_0)=m(x-x_0)[/tex]
Substituting the given values and the slope:
[tex]\rm (y-1)=\dfrac{1}{2}(x-5)[/tex]
Thus, the equation of line with point (5,1) and slope ½ is (y-1) = ½ (x-5).
Learn more about line equation, here:
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Initially, a ball has an angular velocity of 5.0 rad/s counterclockwise. sometime later, after rotating through a total angle of 5.5 radians, the ball has an angular velocity of 1.5 rad/s clockwise. what is the angular acceleration?
Explanation:
it is not necessary to know for this question, but FYI
1 rad = 180/pi = 57.29577951...°
in essence it describes the arc angle of the arc with the length = radius.
anyway,
we are only dealing with relative sizes here all expressed in radians.
the original spin rate or angular velocity is 5.0 rad/sec.
that means in 1 second it spins by 5 radians (a point on the surface moves by that many degrees).
remember, acceleration is speed/time or distance/time².
then we measure again - after the ball moved by a total angle of 5.5 radians. so, it was longer than 1 second.
so, how much time passed ?
time = distance / speed
5.5 rad / 5.0 rad /1 sec = 1 sec × 5.5 rad / 1×5.0 rad =
= 5.5 sec / 5.0 = 1.1 sec
so, the acceleration was
1.5 - 5.0 = -3.5 rad/(1.1 sec)² = -3.5 rad / 1.21 sec² =
= -2.892561983... rad/sec²
