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Nezavi [6.7K]
3 years ago
11

The approximate average distances from the sun to Uranus and Mars are listed

Mathematics
1 answer:
Margaret [11]3 years ago
3 0

Answer:

3,006,390,000 kilometers.

Step-by-step explanation:

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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
3 years ago
Work your brain this evening y'all!! I had $3.00. My Mom gave me $10.00. My Dad Gave me $30.00. My Aunt &amp; Uncle gave me $100
liraira [26]

Answer:

150 i think

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
En el colegio se realizó una campaña para medir el grado de obesidad de la población estudiantil. En la escuela hay 1 430 alumno
Lemur [1.5K]

Answer:

1144 o 286

Step-by-step explanation:

Si pregunta por la cantidad de personas que se pesaron, la respuesta es (8/10) * (1430) = 8 * 143 = 1144.

Si desea saber cuántas personas no se pesaron, la respuesta es 1430* (2/10) = 286

7 0
3 years ago
Use the points (2,-5) and (-1,4) and determine the slope using the slope formula
Rama09 [41]
(2,-5),(-1,4)
slope = (4 - (-5) / (-1 - 2) = (4 + 5) / -3 = -9/3 = -3 <==
6 0
3 years ago
Which equation represents the line shown?
vredina [299]

Answer:

B

Step-by-step explanation:

The line is running only across coordinate points with an x coord of 2

5 0
2 years ago
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