Which of the following functions represents an exponential decay with a 15% rate of change where A represents the initial value
1 answer:
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We are given
Jim's backyard:
Length is
width is
Since, this is rectangle
so, we can find area of rectangle
Area of one sod:
length is
width is
Since, it is rectangle in shape
so,
Number of pieces of sod:
we can use formula
Number of pieces of sod = (area of Jim's backyard)/(area of one sod)
now, we can simplify it
pieces need ..............Answer
Answer:
Step-by-step explanation:
The equation for a circle is , where
is the vertex of the circle and
is the radius. Immediately, since the center of the circle is given, we know what
and
are.
is 230 and
is 220.
The only thing we need to find is the radius, which will just be the distance from the center (230,220) to a point on the circumference (170,170). The distance between them can be calculated using the <u>distance formula</u>, which is really just the <u>Pythagorean Theorem</u> rearranged. The formula states that , where
is the change in the x-coordinates of the two points and
is the change in the y-coordinates of the two points. Plug-in
for 60 and
for 50 to get
. Solve for
, arriving at
. Therefore, the radius of the circle is
.
Finally, we have all of the components to create the equation of the circle. Plug-in 230 for , 220 for
, and
for
.
The equation of the circle will be .
Hope this helps :)