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Daniel [21]
3 years ago
15

Identify the independent and dependent variables in the following situation: Julie notices that her plant grows one inch for eve

ry liter of water that it receives. Question 17 options: The independent variable is the type of tap water used, and the dependent variable is the amount of water the plant receives. The independent variable is the amount of water the plant receives, and the dependent variable is the height of the plant. The independent variable is the height of the plant, and the dependent variable is the number of pieces of fruit the plant produces. The independent variable is the height of the plant, and the dependent variable is the amount of water the plant receives.
Mathematics
1 answer:
ivolga24 [154]3 years ago
4 0

Determine the independent variable and dependent variable in the situation

The independent variable is the <em><u>"</u></em><em><u>amount of water the plant receives</u></em><em><u>"</u></em>, and the dependent variable is the <u><em>"</em><em>height of the plant</em><em>"</em><em>.</em></u>

  • An independent variable is a the variable which causes a change.

  • A dependent variable is the result or effect of a change.

Therefore, the independent variable from the phenomena is <em><u>"amount of water"</u></em> and the dependent variable is the <u><em>"</em><em>height of the plant</em><em>"</em><em>.</em></u>

Read more:

brainly.com/question/23700645

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Vsevolod [243]

Answer:

<h2>2x + 3y = 5</h2>

Step-by-step explanation:

\bold{METHOD\ 1:}

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

Let k:y=m_1x+b_1,\ l:y=m_2x+b_2

then

l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}

We have the equation of a line:

2x+3y=6

Convert to the slope-intercept form:

2x+3y=6           <em>subtract 2x from both sides</em>

3y=-2x+6              <em>divide both sides by 3</em>

y=-\dfrac{2}{3}x+2\to m_1=-\dfrac{2}{3}

therefore the slope is m_2=-\dfrac{2}{3}

Put the value of the slope and the coordinates of the point (-2, 3) to the equation of a line:

3=-\dfrac{2}{3}(-2)+b

3=\dfrac{4}{3}+b            <em>subtract 4/3 from both sides</em>

\dfrac{9}{3}-\dfrac{4}{3}=b\to b=\dfrac{5}{3}

Finally:

y=-\dfrac{2}{3}x+\dfrac{5}{3}

Convert to the standard form (Ax + By = C):

y=-\dfrac{2}{3}x+\dfrac{5}{3}              <em>multiply both sides by 3</em>

3y=-2x+5           <em>add 2x to both sides</em>

2x+3y=5

\bold{METHOD\ 2:}

Let k:A_1x+B_1y=C_1,\ l:A_2x+B_2y=C_2.

Lines <em>k</em> and <em>l</em> are parallel iff

A_1=A_2\ \wedge\ B_1=B_2\to\dfrac{A_2}{A_1}=\dfrac{B_2}{B_1}

We have the equation:

2x+3y=6\to A_1=2,\ B_1=3

then the equation of a line parallel to given lines has the equation:

2x+3y=C

Put the coordinates of the point (-2, 3) to the equation:

C=2(-2)+3(3)\\\\C=-4+9\\\\C=5

Finally:

2x+3y=5

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Step-by-step explanation:

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Answer:

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Therefore, our model is:

N(t)=1000e^{t*ln(1.8)}\\N(t)=1000\cdot1.8^t

In 3 days time

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From our model

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In approximately 5 days, the population of mosquitoes will be 20,000.

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Answer:

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