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bogdanovich [222]
2 years ago
10

An animal shelter had 45 animals adopted over one week. The ratio of dogs to ferrets was 5:1. The ratio of cats to dogs was 9:5.

Mathematics
1 answer:
morpeh [17]2 years ago
3 0

Answer:

there are 3 ferrets,15 dogs,27 cats

Step-by-step explanation:

the ratio of the three

9:5:1

the ferrets,1/15 * 45= 3

the dogs,5/15 * 45= 15

the cats, 9/15 * 45=27

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Answer:

y = - \frac{1}{4} x - 1

Step-by-step explanation:

Assuming you require the equation of the line

The equation of a line in slope- intercept form is

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Here m = - \frac{1}{4} , then

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To find c substitute (12, - 4) into the partial equation

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y = - \frac{1}{4} x - 1 ← equation of line

7 0
3 years ago
The pentagonal prism has a perpendicular distance of 14 units between the bases. The volume of the prism is 840 cubic units. Wha
nadezda [96]
<span>Prism Volume = Area of Base • Height
</span>
Area of Base = Prism Volume / Height
Area of Base = 840 / 14
Area of Base = 60
pentagon area = 5 * side^2 / 4 * tan (180 / 5)
side^2 = [pentagon area * 4 * tan (180 / 5)] / 5
side^2 = [60 * 4 * tan (36)] / 5

side^2 =240 * 0.72654 / 5

side^2 = <span> <span> <span> 174.3696 </span> </span> </span> / 5
side^2 = <span> <span> <span> 34.87392 </span>
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side = <span> <span> <span> 5.9054144647 </span></span></span>
Pentagon Perimeter = <span> <span> <span> 5.9054144647</span></span></span>* 5
<span><span><span>Pentagon Perimeter = 29.5270723235 </span> </span> </span>




4 0
3 years ago
Read 2 more answers
Let f(x) = xe^-x+ ce^-x, where c is a positive constant. For what positive value of c does f have an absolute
Illusion [34]

Answer:

c=6

Step-by-step explanation:

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f(x)=xe^{-x}+ce^{-x}

f'(x)=-xe^{-x}+e^{-x}-ce^{-x}

0=-(-5)e^{-(-5)}+e^{-(-5)}-ce^{-(-5)}

0=5e^{5}+e^{5}-ce^{5}

0=e^5(5+1-c)

0=6-c

c=6

Therefore, when c=6, the absolute maximum of the function is x=-5.

I've attached a graph to help you visually see this.

7 0
3 years ago
An experiment was conducted by some students to explore the nature of the relationship between a person's heart rate (measured i
tekilochka [14]

Answer:

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Step-by-step explanation:

The correct option is - A. factors.

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6 0
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Step-by-step explanation:

8 0
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