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SCORPION-xisa [38]
3 years ago
5

Please help with this one question thanks so much in advance yall :-)

Mathematics
1 answer:
Rus_ich [418]3 years ago
6 0
Is the question asking f(g(x))? If so the answer is 4x+20
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The population of rabbits on an island is growing exponentially. In the year 1990, the population of rabbits was 1200, and by 19
kobusy [5.1K]

Answer:

2023 rabbits

Step-by-step explanation:

The exponential model consists of the following expression:

y = A \cdot r^{t}

Where:

A - Initial population.

r - Increase rate.

t - Time

y - Current population.

The initial population and increase rate are, respectively:

1200 = A \cdot r^{0}

A = 1200

1700 = 1200 \cdot r^{4}

r^{4} = \frac{1700}{1200}

r^{4} = \frac{17}{12}

r = \sqrt[4]{\frac{17}{12} }

r \approx 1.091

The exponential model that predicts the population of rabbits is:

y = 1200\cdot 1.091^{t}

Lastly, the expected population for the year 1996 is:

y = 1200\cdot 1.091^{6}

y\approx 2023.624\,rabbits

5 0
3 years ago
What are the length(s) of the sides labeled a and b in the triangle below?
neonofarm [45]

Answer:

14 and 14

Step-by-step explanation:

this is because it is a isosceles triangle and it has a specific rule.

8 0
3 years ago
Read 2 more answers
Identify the two triangle congruence criteria that do NOT guarantee congruence. Explain why they do not guarantee congruence, an
Mashcka [7]

Answer: Hello mate!

there are two congruence criteria that do not guarantee congruence:

AAA ( or 3 angles)

two triangles can have the same 3 angles, but different size, then they are not congruent; an example of this is:

take the triangle rectangle of both cathetus = 1 and hypotenuse = √2, where the angles are 90°, 45° and 45°

and now take the triangle rectangle with both cathetus = 2 and hypotenuse = √8, this triangle also has the angles 90°, 45°, and 45°, so this two triangles succeed the AAA criteria, but are not congruent.

SSA (side-side-angle)

If two triangles satisfy the SSA  criteria and the corresponding angles are acute and the length of the side opposite to the angle is greater than the length of the adjacent side multiplied by the sine of the angle (but less than the length of the adjacent side), then the two triangles are not necessarily congruent.

This is kinda harder to illustrate;  

think on a triangle rectangle where you have the measure of both cathetus and one of the angles different from 90° as the SSA data.

and now think on another triangle that has the same adjacent cathetus and angle, and where the other cathetus is rotated (in a sense where 90° is decreasing) to the point where its tip intercepts the hypotenuse of the first triangle.

Those two triangles meet the SSA criteria but are not congruent.

7 0
3 years ago
Please help! 25 points
Zinaida [17]

Answer: Look at explanation

Step-by-step explanation:

32 = 2 x 2 x 2 x 2 x 2

27 = 3 x 3 x 3

16 = 2 x 2 x 2 x 2

No as 32 can be broken down to 8 and 4 and not just pime and not prime

7 0
2 years ago
1) what is the answer to 2^-2x2^-4
lana [24]

Answer:

\frac{1}{64}

I hope this helps!

7 0
3 years ago
Read 2 more answers
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