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3 years ago

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