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Elan Coil [88]
3 years ago
14

Janice swam in the 400​ ___ backstroke.

Mathematics
1 answer:
ruslelena [56]3 years ago
7 0
Meter/ yard. Likely meter since that is high/college standard
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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
If f(x) = 2x + 3 for all values of x, what is the value of f(-3)?​
IrinaK [193]

Answer:

f(-3)= -3

Step-by-step explanation:

We are given the function:

f(x) = 2x+3

and asked to find f(-3). Essentially, we want to find f(x) when x is equal to -3.

Therefore, we can substitute -3 for each x in the function.

f(x)= 2x+3 at x= -3

f(-3)= 2(-3) +3

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction

Multiply 2 and -3.

f(-3) = (2*-3) +3

f(-3)= (-6)+3

Add -6 and 3.

f(-3)= (-6+3)

f(-3)= -3

If f(x)= 2x+3, then<em> f(-3)= -3</em>

7 0
3 years ago
Least to greatest 7/12,0.75,5/6
irina [24]
Hello there.

<span>Least to greatest 7/12,0.75,5/6

7/12 ,5/6, 0.75</span>
8 0
3 years ago
Read 2 more answers
What is the solution set of x^2+y^2=26 and x-y=6?
lubasha [3.4K]
I think it's B because it's makes the most sense
5 0
3 years ago
The city bus station runs buses every 15 minutes. Find the probability that a passenger who arrives at a random time will not ha
Paul [167]
The answer to your problem is A 1/3, is the possibility for a passenger who arrives at noon.
3 0
3 years ago
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