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wel
2 years ago
15

A stone is dropped into some water and a circle of radius r is formed and slowly expands. The perimeter of the circle is increas

ing at 3 m/ s. At the moment the radius is exactly 2m, what rate is the radius of the circle increasing?
Mathematics
2 answers:
Mazyrski [523]2 years ago
3 0
I believe it would be 6 due to the radius being a half of the actual circumfrence
zimovet [89]2 years ago
3 0
The relation between perimeter and radius  is P = 2 pi r

dP/dr = 2pi

dP/dt = 3  

when r = 2   dr/dt  = dP/dt * dr/DP =  3 * 1/2pi  = 0.477  m/s
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Kiko baked a batch of cookies. She ate 3 cookies and then gave half of the remaining cookies to her friends. If c represents the
tatiyna

Answer: (c - 3) / 2 = x

Step-by-step explanation:

If c represents the cookies, then you remove 3 because she ate 3 of the cookies. Since half of the remainder of the cookies were given to her friend, you must divide the product of c - 3, by 2. The reason for the parenthesis is so that it overrules PEMDAS, as parenthesis goes before division.

7 0
3 years ago
1. What is the volume of the rectangular prism?<br> 4 in.<br> 3 in.<br> 7 in.
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84 inches cubed

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7 0
2 years ago
7/2x+1/2=10 1/2+9/2x what is the value of x
gogolik [260]

Answer:

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Step-by-step explanation:

3 0
2 years ago
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Determine the intercepts of the line. y = 5 x − 1 3 y=5x−13
sweet-ann [11.9K]
Y-intercept = -13
x-intercept = 2.6 or 2 3/5
-13 is the y-intercept. In the equation, y=mx+b, b is the y-intercept. Looking at the equation, y=5x-13, we can see that -13 is in the place of b, therefore -13 is the y-intercept.
() is the x-intercept. To find the x-intercept, you need to replace values into the equation. Since the coordinates for the x-intercept consist of y being 0, you must replace y in the equation. with 0.
0=5x-13
Get rid of the -13 by adding it onto both sides. -13 is negative and the opposite of a negative is positive, thus making you add to get rid of -13.
0=5x-13
+13 +13
13=5x
Now you divide 5 from both sides to get rid of 5. The opposite of multiplication is division, so you must divide the 5 from 5x to isolate the x.
13/5=5x/5
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Therefore the coordinates (2.6,0) represent the x-intercept, or just 2.6.

I hope this helped.
6 0
3 years ago
What are the solution points for the system graph?
JulsSmile [24]

The solution points to the system graph are (–2,–4) and (4,8). Therefore, option A is correct.

We need to find the solution to the given function.

<h3>How to find the solution to the function from the graph?</h3>

The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be at the point where the two lines intersect.

From the given graph we can see that the two functions are intersecting at (–2,–4) and (4,8).

The solution points to the system graph are (–2,–4) and (4,8). Therefore, option A is correct.

To learn more about the solution points for the system graph visit:

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7 0
2 years ago
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