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jarptica [38.1K]
3 years ago
5

(1 point) A rock is thrown into a still pond and causes a circular ripple. If the radius of the ripple is increasing at a rate o

f 4 feet per second, how fast is the circumference changing when the radius is 18 feet?
Mathematics
1 answer:
PtichkaEL [24]3 years ago
8 0

Answer:

8pi feet per second

Or, 25.1 feet per second (3 sf)

Step-by-step explanation:

C = 2pi×r

dC/dr = 2pi

dC/dt = dC/dr × dr/dt

= 2pi × 4 = 8pi feet per second

dC/dt = 25.1327412287

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An internet company charges a $100 set up fee, and then they charge $35 a month after that. What is the rate of change?
katrin2010 [14]
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That’s the right answer
3 0
3 years ago
Determine whether 8x + 18 + x is equivalent to 9(2+x) Complete the sentence to justify your answer
AlekseyPX

Answer:

Yes they are equivalent

Step-by-step explanation:

8x + 18 + x = 9x + 18

9(2+x) = 18 + 9x = 9x + 18

Therefore, 8x + 18 + x is equivalent to 9(2+x)

6 0
3 years ago
Read 2 more answers
Fraction word problems Your strip of paper represents one lap on a track. Three students ran a relay and took turns running equa
artcher [175]

Answer:

A quarter (\dfrac{1}{4}) of one lap of the track.

Step-by-step explanation:

Three students ran ran a relay and took turns running equal parts of the track.

The race was three-fourths of a lap long.

Let the length of one lap of the track=x

The length of the race=\frac{3}{4}x

Since each of the students ran equal part,

Length run by each student

=\dfrac{3}{4}x \div 3\\=\dfrac{3}{4}x X \dfrac{1}{3}\\=\dfrac{1}{4}x

Therefore, each student ran a quarter (\dfrac{1}{4}) of one lap of the track.

5 0
3 years ago
Line AB is parallel to line CD. What is the measure of angle CFE?
Art [367]

Answer: c

Step-by-step explanation:

A full circle is 360 degrees so half way would be 180 and since theyre parallel you know that you can use the 55 degrees up top to use in ur equation to find cfe

180-55=125

Can't be 45 because the angle on the other side is smaller than cfe and its 55 degrees and cfe has to be wider than 90 degrees because a right angle is 90 degrees and this angle noticeable goes past 90

Can't be 180 because the whole thing equals 180

3 0
2 years ago
A manufacturing company produces engines for light aircraft . The graph shows the number of engine produced each year since the
photoshop1234 [79]

Answer:

y=13x+32

149 engines in 9th year

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

From a look at the photo and the data plot can be represented by the function, so we can pick 2 points in our given graph

  • (x1, y1) = (2,60)
  • (x2, y2) = (5,99)

The standard form of a linear equation is:

y = mx + b where:

  • m is the slope
  • b is the y-intercept

We know the slope of the function can be found as following:

m = \frac{y2 - y1}{x2 - x1}  so in this situation we have:

<=> m=\frac{99-60}{5-2}=\frac{39}{3}=13

=> y = 13x + b (1)

Because the line goes through point  (2,60) so we substitute it into (1):

60 = 13*2 + b

<=> b = 60 - 26 = 34

=> y = 13x + 34

Now we will substitute x=9 to find the engines produced by company in 9th year as:

y=13(9)+32\\y=117+32=149

Hence, the company will produce 149 engines in 9th year

6 0
3 years ago
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