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show what you know a group of biologists tracked mice in a forest. they…

6075

Category: physics Updated: 2026-02-09

Question

show what you know
a group of biologists tracked mice in a forest.
they wrote the equation $n = 75 \\cdot 3^{t}$.

  • $n$ is the total number of mice.
  • $t$ is the years since the biologists counted.

how many mice do the biologists predict will be in the forest after 4 years?

Solution Steps

  1. Understand the question

    show what you know
    a group of biologists tracked mice in a forest.
    they wrote the equation $n = 75 \\cdot 3^{t}$.

    • $n$ is the total number of mice.
    • $t$ is the years since the biologists counted.

    how many mice do the biologists predict will be in the forest after 4 years?

  2. Explanation

    Step1: Substitute t=4 into equation

    $n = 75 \cdot 3^{4}$

    Step2: Calculate $3^4$

    $3^4 = 81$

    Step3: Compute final n value

    $n = 75 \times 81$

  3. Final answer

    6075

Answer

Explanation

Step1: Substitute t=4 into equation

$n = 75 \cdot 3^{4}$

Step2: Calculate $3^4$

$3^4 = 81$

Step3: Compute final n value

$n = 75 \times 81$

Answer

6075

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Question Analysis

Subject natural science
Sub Subject biology
Education Level middle school
Difficulty unspecified
Question Type with image, calculation
Multi Question No
Question Count 1
Analysis Status completed
Analyzed At 2026-02-09T20:09:38

OCR Text

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show what you know
a group of biologists tracked mice in a forest.
they wrote the equation $n = 75 \\cdot 3^{t}$.
- $n$ is the total number of mice.
- $t$ is the years since the biologists counted.
how many mice do the biologists predict will be in the forest after 4 years?

Related Topics

natural sciencebiologywith image, calculationmiddle schoolturns-1

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