The rate of change of the distance from the particle to the origin at this instant is 3 units per second.
<h3>What is the rate of change?</h3>
The instantaneous rate of change is the rate of change at a particular instant.
A particle is moving along the curve
The rate of change of y is given as:
dy / dx = 2
by differentiating both sides,
From the question, we have:
(x, y) = (5,24)
Substitute 5 for x and dy / dx = 2
Hence, the rate of change of the distance from the particle to the origin at this instant is 3 units per second.
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Answer:
Step-by-step explanation:
The recursive rule tells you the initial term of the sequence is a1 = -3, and the common difference is d=7. (7 is the value added to one term to get the next term.)
Putting these values into the formula for the explicit rule gives ...
an = a1 +d(n -1)
an = -3 + 7(n -1)
7 million acres of Nevadas land is unfedarally owned!
Hope This Helps
Here’s what you can do to make this very simple. Consider that the “missing” space between the rectangles isn’t there. Then, find the area:
10 x 9 = 90 mm
Now, find the area of the “missing” part.
5 x 2 = 10 mm
Finally, you deduct the missing part from the complete rectangle!
90 - 10 = 80 mm
The area of this whole thing is 80 mm!
Answer:
468.4 meters
Step-by-step explanation:
Find the width of the rectangle.
The area of a rectangle is A=length*width. Substitute the values of length and area and solve for width.
A=length*width
8,400=140*width
60= width
Use the width of the rectangle to find the circumference of the semicircles. Since each semicircle is half of a circle, the perimeter of the two semicircles is equal to the circumference of one circle.
The circumference of a circle is equal to pid, where d is the diameter. The diameter of the semicircle is the same as the width of the rectangle.
So, the diameter is 60 meters. Substitute the diameter into the formula for the circumference and simplify using 3.14 for pi.
≈188.4
(2 times 140)+ 188.4
So, the perimeter of the track is 468.4 meters.
