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Flauer [41]
3 years ago
11

A man completes 10 laps of a circular track with a radius of 4.5 metres (when rounded to one decimal place). Find the minimum an

d maximum distance that he runs
Mathematics
1 answer:
il63 [147K]3 years ago
5 0
Circumference of a circle: 2<span>πr

Simply input the radius, multiply the answer by 10 (because the man runs 10 laps) and solve!

Distance traveled = (</span>2πr) 10
                               = 2π(4.5m) 10
                               = ~ 282.743m

Hope this helps!
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Which of the following statements is true for the logistic differential equation?
solong [7]

Answer:

All of the above

Step-by-step explanation:

dy/dt = y/3 (18 − y)

0 = y/3 (18 − y)

y = 0 or 18

d²y/dt² = y/3 (-dy/dt) + (1/3 dy/dt) (18 − y)

d²y/dt² = dy/dt (-y/3 + 6 − y/3)

d²y/dt² = dy/dt (6 − 2y/3)

d²y/dt² = y/3 (18 − y) (6 − 2y/3)

0 = y/3 (18 − y) (6 − 2y/3)

y = 0, 9, 18

y" = 0 at y = 9 and changes signs from + to -, so y' is a maximum at y = 9.

y' and y" = 0 at y = 0 and y = 18, so those are both asymptotes / limiting values.

8 0
3 years ago
How many pairs of parallel line segments are shown? <br><br> 1. 8<br> 2. 24<br> 3. 4<br> 4. 18
kolezko [41]
For this case what you should see is each of the edges of the prism that are parallel.
 We then have as parallel edges:
 AC and GE
 CG and AE
 CD and GH
 AB and EF
 BD and HF
 DH and BF
 CD and EF
 GH and AB
 Answer: 
 8 pairs of parallel lines
4 0
3 years ago
Read 2 more answers
Pls help me w thissssss
likoan [24]
<h2>22</h2>

In this problem, we need to use <u>multiplication</u> and <u>subtraction</u> method to solve it.

_________________________________

x(y) means to <u>multiply</u> x with y

_________________________________

Note that {a = 7} and {b = 6}

First, we need to multiply 4 with {a = 7}, we get:

4(7) = <em>28</em>

<em />

Then, we need to subtract {b = 6} from <em>28</em>, we get:

<em>28</em> – 6 = 22

Finally, this simplifies as:

4(7) – 6 = 22

<em>Hope this helps :)</em>

5 0
1 year ago
Each year a scientist measures the water level of a local lake. Negative numbers indicate that the water level is below its hist
STatiana [176]

Answer:

A

Step-by-step explanation:

Because when a decimal is only one number after a zero, it equals ten of whatever number it is. Since 60 is greater than 41 it is -0.6 ( -0.60 ) has more negative value than -0.41.

5 0
3 years ago
Distinguish differences and similarities between slope intercept form and point slope form ohysics
Slav-nsk [51]

Differences:

point slope form of line:

(a) equation is (y-y_1)=m(x-x_1)

where m is slope and (x1,y1) is a point

(b)This equation of line can be determined when two points are given

(x1, y1) and (x2,y2)

slope intercept form of line:

(a) equation is y=mx+b

where m is a slope

b is y-intercept

(b)This equation of line can be determined when y-intercept and slope are given

Similarilties:

(a) both are equation of straight line

(b) slope is always constant in both


8 0
3 years ago
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