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kirza4 [7]
3 years ago
6

Determine if the two triangles are similar or not. Choose the best answer.

Mathematics
1 answer:
Naya [18.7K]3 years ago
3 0
The answer would be B. SSS since it shows the congruent side on the ends
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Animal populations are not capable of unrestricted growth because of limited habitat and food supplies. Under such conditions th
trasher [3.6K]

Answer:

(a) 100 fishes

(b) t = 10: 483 fishes

    t = 20: 999 fishes

    t = 30: 1168 fishes

(c)

P(\infty) = 1200

Step-by-step explanation:

Given

P(t) =\frac{d}{1+ke^-{ct}}

d = 1200\\k = 11\\c=0.2

Solving (a): Fishes at t = 0

This gives:

P(0) =\frac{1200}{1+11*e^-{0.2*0}}

P(0) =\frac{1200}{1+11*e^-{0}}

P(0) =\frac{1200}{1+11*1}

P(0) =\frac{1200}{1+11}

P(0) =\frac{1200}{12}

P(0) = 100

Solving (a): Fishes at t = 10, 20, 30

t = 10

P(10) =\frac{1200}{1+11*e^-{0.2*10}} =\frac{1200}{1+11*e^-{2}}\\\\P(10) =\frac{1200}{1+11*0.135}=\frac{1200}{2.485}\\\\P(10) =483

t = 20

P(20) =\frac{1200}{1+11*e^-{0.2*20}} =\frac{1200}{1+11*e^-{4}}\\\\P(20) =\frac{1200}{1+11*0.0183}=\frac{1200}{1.2013}\\\\P(20) =999

t = 30

P(30) =\frac{1200}{1+11*e^-{0.2*30}} =\frac{1200}{1+11*e^-{6}}\\\\P(30) =\frac{1200}{1+11*0.00247}=\frac{1200}{1.0273}\\\\P(30) =1168

Solving (c): \lim_{t \to \infty} P(t)

In (b) above.

Notice that as t increases from 10 to 20 to 30, the values of e^{-ct} decreases

This implies that:

{t \to \infty} = {e^{-ct} \to 0}

So:

The value of P(t) for large values is:

P(\infty) = \frac{1200}{1 + 11 * 0}

P(\infty) = \frac{1200}{1 + 0}

P(\infty) = \frac{1200}{1}

P(\infty) = 1200

5 0
3 years ago
Solve the proportion for t 15:75=30:t
Dominik [7]
The answer is 150.
15(2)=30 so
75(2) is 150
5 0
3 years ago
Factorise : 16x^2 +72xy + 81y^2 -12x +27y
never [62]
Hello!!

It will be the same since there is no common factor. You just need to arrange in order. 

6x^2 + 72xy - 12x + 81y^2 + 27y

Good luck :)
5 0
4 years ago
What is the result of converting 0.5 cups to fled ounces> ( remember that 1 cup = 8 fluid ounces)
frez [133]
.5 cups is equal to 1/2 cup.
Half of 1 cup equals 4 fluid ounces.
8 0
4 years ago
–5(x – 2) = –25 answer please do it please 11ghhhj
swat32

Answer:

The correct answer is x = 7.

Step-by-step explanation:

To solve this problem, our first step is to use the distributive property on the left side of the equation.  This is modeled below:

-5x + 10 = -25

Next, we should subtract 10 from both sides of the equation.

-5x = -35

Finally, we should divide both sides of the equation by -5 to get the variable x alone on the left side of the equation.

x = 7

Therefore, the answer is x = 7.

Hope this helps!

8 0
3 years ago
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