Answer:
d = 4.90
Step-by-step explanation:
Given the following data;
F = 9
d = 4
For an inversely proportional relationship, we have;
F = k/d²
Now, we would find the constant, k;
9 = k/4²
k = 9*16
k = 144
Next, to find d, when F = 6
d² = k/F
d² = 144/6
d² = 24
Taking the square root of both sides, we have;
d = 4.90
The total distance of the street is the number of times the wheel turns multiplied by its circumference. Thus:
C = πD
L = nπD
L = 35 x 3.14 x 3.2
L = 351.68 ft
learn more of circumference here brainly.com/question/2806054
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Answer:
D. the number of dogs in the shelter compared to the number of cats in the shelter.
You're looking for c, so you want to isolate it or get it by itself. To get rid of the /3 you multiply since the opposite of division is multiplication and to get rid of it, you do the opposite (like -9 you would add 9 to get it to 0). Now you are left with -19+c = 24 (the 24 is 8*3 because what you do to one side you do to the other. Now you get c by itself so you add 19 to both sides which leaves you with C= 43. Sorry if this was confusing!
Formula for permutation is:
![\boxed{ \tt^{n} C_{r} = \frac{n!}{r!(n - r)!} }](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Ctt%5E%7Bn%7D%20C_%7Br%7D%20%3D%20%20%5Cfrac%7Bn%21%7D%7Br%21%28n%20-%20r%29%21%7D%20%7D)
<h3><u>Calculation</u>, </h3>
Plug in the values:
Required number of ways = ²C7
![\sf \frac{7!}{5!(7 - 5)!}](https://tex.z-dn.net/?f=%20%5Csf%20%5Cfrac%7B7%21%7D%7B5%21%287%20-%205%29%21%7D%20)
![\sf \frac{7 \times 6 \times \cancel{5!}}{ \cancel{5! }\times 2!}](https://tex.z-dn.net/?f=%20%5Csf%20%5Cfrac%7B7%20%5Ctimes%206%20%5Ctimes%20%20%5Ccancel%7B5%21%7D%7D%7B%20%5Ccancel%7B5%21%20%7D%5Ctimes%202%21%7D%20)
![\sf \frac{7 \times 6 }{ 2!}](https://tex.z-dn.net/?f=%20%5Csf%20%5Cfrac%7B7%20%5Ctimes%206%20%7D%7B%202%21%7D%20)
![\sf \frac{42 }{ 2!}](https://tex.z-dn.net/?f=%20%5Csf%20%5Cfrac%7B42%20%7D%7B%202%21%7D%20)
![\sf \frac{42 }{ 2} = 21](https://tex.z-dn.net/?f=%20%5Csf%20%5Cfrac%7B42%20%7D%7B%202%7D%20%20%3D%2021)
<em>Thus, </em><em>The</em><em> </em><em>players</em><em> </em><em>can</em><em> </em><em>be</em><em> </em><em>selected</em><em> </em><em>in</em><em> </em><em>21</em><em> </em><em>different</em><em> </em><em>ways</em><em>!</em><em>!</em><em>~</em>