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stepan [7]
11 months ago
6

The population of pets in Mr. Jones neighborhood in Bartlett has declined in the pass year by roughly 30%. Residents hypothesize

that this is due to predation by coyotes. The current pets in Mr. Jones neighborhood is 90. Approximately how many pets were there originally?
Mathematics
1 answer:
Shtirlitz [24]11 months ago
6 0

Answer:

128 4/7

Step-by-step explanation:

100%-30%=70%

90=.7X

900=7X

128 4/7=X

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Suppose f and g are continuous functions such that g(6) = 6 and lim x → 6 [3f(x) + f(x)g(x)] = 45. Find f(6).
aleksandr82 [10.1K]
Since g(6)=6, and both functions are continuous, we have:

\lim_{x \to 6} [3f(x)+f(x)g(x)] = 45\\\\\lim_{x \to 6} [3f(x)+6f(x)] = 45\\\\lim_{x \to 6} [9f(x)] = 45\\\\9\cdot lim_{x \to 6} f(x) = 45\\\\lim_{x \to 6} f(x)=5


if a function is continuous at a point c, then lim_{x \to c} f(x)=f(c), 

that is, in a    c ∈  a continuous interval, f(c) and the limit of f as x approaches c are the same.


Thus, since lim_{x \to 6} f(x)=5, f(6) = 5


Answer: 5


7 0
3 years ago
Please explain what this means! (no math needs to be done as I got the answers but I don't understand the explanation...)
nata0808 [166]

you can imagine this as a venn diagram. the "or" event would consist of everything in both sides and the middle of the venn diagram because you can choose form either event x <u>or</u> event y.

the "and" event would consist of everything in the middle of the venn diagram because you choice must be a part of both event x <u>and</u> event y.

the complement of an event is just everything that is not included in the event. for example, in a coin flip, the complement of heads is tails. in a dice roll, the complement of {1,2} is {3,4,5,6}

so if you come across these just think "either or" or "both and." and remember that the complement is everything excluding what is listed.

i apologize if this does not help, im not that great at explaining things

6 0
2 years ago
The conversion factor relating feet to meters is 1 ft=0.305 m. Keep in mind that when using conversion factors, you want to make
kogti [31]

Answer:

  1763 ft²

Step-by-step explanation:

Using the given conversion factor, ...

  (164 m²)(1 ft/(.305 m))² = 165/.093025 ft² ≈ 1763 ft²

_____

The exact conversion factor is 1/0.3048, so the area is closer to 1765 ft². For a 4-significant digit answer, you need to use a conversion factor accurate to 4 significant digits.

6 0
3 years ago
If X=60, Y=25, and Z=65, what is the tangent of
LekaFEV [45]
Tangent is opposite/adjacent so it would 60/25 which simplifies to 12/5
8 0
3 years ago
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How to expand the number 2,937,082​
denis-greek [22]
2x1,000,000
9x100,000
3x10,000
7x1,000
0x100
8x10
2x1
7 0
2 years ago
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