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saw5 [17]
2 years ago
13

Which equations represent two vertical asymptotes of the function y = 3 cot(4/3^x)?

Mathematics
1 answer:
Maurinko [17]2 years ago
7 0

D ) x = 0 and x = 3 π / 4

.............................................

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A moose population is growing exponentially following the pattern in the table shown below. Assuming that the pattern continues,
EleoNora [17]

Answer:

  •   <u> 7,692 moose.</u>

Explanation:

The table that shows the pattern for this question is:

Time (year) Population

  0                   40

  1                     62

  2                    96

  3                   149

  4                   231

A growing exponentially pattern may be modeled by a function of the form P(x) = P₀(r)ˣ.

Where P₀ represents the initial population (year = 0), r represents the multiplicative growing rate, and P(x0 represents the population at the year x.

Thus you must find both P₀ and r.

<u>1) P₀ </u>

  Using the first term of the sequence (0, 40) you get:

   P(0) = 40 = P₀ (r)⁰ = P₀ (1) = P₀

Then, P₀ = 40

<u>  2) r</u>

Take two consecutive terms of the sequence:

  • P(0) = 40 r⁰ = 40
  • P(1) = 40 r¹ = 40r = 62
  • P(1) / P(0) = 40r / 40 = 62/40
  • r = 62/40 = 1.55

 

You can verify that, for any other two consecutive terms you get the same result: 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55

<u>3) Model</u>

 

Thus, your model is P(x) = 40(1.55)ˣ

<u> 4) Population of moose after 12 years</u>

  • P(12) = 40 (1.55)¹² ≈ 7,692.019 ≈ 7,692, which is round to the nearest whole number.
7 0
2 years ago
What is a prime or composite number?
melomori [17]
-A prime number is a whole numbergreater than 1, whose only two whole-number factors are 1 and itself. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.

- A whole number that can be divided evenly by numbers other than 1 or itself. Example: 9 can be divided evenly by 3 (as well as 1 and 9), so 9 is acomposite number. But 7 cannot be divided evenly (except by 1 and 7), so is NOT a composite number (it is a prime number).
6 0
3 years ago
Which values of a and b in the exponential function y = a times b^x would result in the following graph
harina [27]

Answer:

a

Step-by-step explanation:

i just took the test

6 0
3 years ago
Please help me, its due today!!!
zlopas [31]

Answer:

7

Step-by-step explanation:

So we have the expression:

|3x-1|

And we want to evaluate it for x=-2.

So, substitute -2 for x:

|3(-2)-1|

Multiply:

=|-6-1|

Subtract:

=|-7|

The absolute value of a negative is positive. So:

=7

And we're done!

8 0
3 years ago
What is Reciprocal Property of Multiplication?
Kaylis [27]
<span>When the product of two numbers is one</span>
4 0
3 years ago
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