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Andrej [43]
3 years ago
13

For every hour that Noah studies, his test score goes up 3 points. Explain which is the independent variable and which is the de

pendent variable. Write an equation modeling the relationship between hours studied h and the increase in Noah's test score s.
Mathematics
2 answers:
Mnenie [13.5K]3 years ago
5 0
The independent variable is the test hours that he studies; because they are not affected by any of the other variables. The dependent variable is the test score; because the amount of the test score depends on the variable of the studied hours. 

t=test score
h=hours studied
 
t+h3

Not sure about the equation though. Might wanna check that. Hope this helps!

Arturiano [62]3 years ago
4 0
The independent variable is hours and the score or points is the dependent variable .equation is s=3h
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According to Boyle’s law, PV= K, what was the volume at the time of the first measurement given the following information? Round
Temka [501]
<h2>Hello!</h2>

The answer is:

The first measurement of volume is equal to 835.23 mL.

<h2>Why?</h2>

Boyle's Law equation can be used when the temperature is kept constant, and it establishes a relation between the pressure and volume, showing that when an ideal gas is kept constant, the pressure and volume are inversely proportional.

So, we Boyle's Law equation states that:

P_{1}V_{1}=P_{2}V_{2}

Where,

P_1=FirstPressure\\V_1=FirstVolume\\P_2=NewPressure\\V_2=NewVolume

Now, if we are looking for the first volume measurement, we need to rewrite the equation as follow:

P_{1}V_{1}=P_{2}V_{2}\\\\V_{1}=\frac{P_{2}V_{2}}{P_{1}}

So, substituting the given information and calculating, we have:

V_{1}=\frac{8.59atm*527mL}{5.42atm}

V_{1}=\frac{4526.93atm.mL}{5.42atm}=835.23mL

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Have a nice day!

8 0
3 years ago
Find the area of the polygon. Figure ABCDE is shown. A is at 6, 0. B is at negative 4, 5. C is at 2, 5. D is at 2, 9. E is at 6,
kondaur [170]

This question is incomplete. The attached image was obtained online

Answer:

41 square units

Step-by-step explanation:

Looking at diagram that was attached, we can see that the Polygon s the combination of a square and a triangle.

In square CDEF we have:

The lengths of the side of the square= 4 units

Hence, the area of square is: length ²

Area of square= 4²

=16 square units

Also, in ΔBFA we have:

The base of the triangle is calculated as

=6 + 4= 10 units

height of the triangle is: FA= 5 units

The formula for Area of a triangle = 1/2 × Base × Height

Hence, we have area of ΔBFA as:

= 1/2 × 10 × 5

Area= 25 square units

The Area of the Polygon = Area of the square + Area of the triangle

16 square units + 25 square units

= 41 square units

7 0
3 years ago
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