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3 years ago

What is the equation of the graph below?

Mathematics

1 answer:

sveta [45]3 years ago

5 0

Answer:

y = csc(x - 3/4 $\pi$ )

Step-by-step explanation:

I forgot how to answer questions like these. I went ahead and tried re-learning this to answer this.

So, the first step is to recognize that this graph can only be the reciprocal function of sin or cosine. I will think of sine.

y = sin(x)

Look at where the x-coordinate of the sin is. (-3/4PI). This is going to be the c value. { y = asin(x-c) }

y = sin(x - 3/4 $\pi$ )

Now, what is the a value? or amplitude? Well, it's just 1.. and the simplest explanation is just to look at my picture.

Now, if we were to graph this, we would end up with the correct x and y values, but the shape is wrong, and the easiest way to fix this is to just take the recpriocal of the sine function.

y = csc(x - 3/4 $\pi$ )

Thank you for this question, I re-learned something I forgot back in pre-calc haha.

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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.

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:

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

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

Hence, the first measurement of volume is equal 835.23 mL.

Have a nice day!

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3 years ago

A concrete pillar has the shape of a cylinder. It has a radius of 6 meters and a height of 4 meters. If concrete costs $82 per c

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3 years ago

In a lab, a scientist is growing bacteria for a study. The scientist begins with a bacteria

Diano4ka-milaya [45]

Answer:

The answer is below

Step-by-step explanation:

The growth of the bacteria is in the form of an exponential growth. It is given by the formula:

$P(t)=ae^{rt}\\\\where\ t\ is\ the\ number\ of \ hours, P(t)\ is\ the \ population\ at\ t\ hours\\\and\ a=population\ at\ start$

At 2 hours, the population is 62 cells, hence:

$P(2)=ae^{2r}\\\\62=ae^{2r}\ \ .\ \ .\ \ .\ (1)$

After another 2 hours (4 hours), the population is 1 million:

$P(4)=ae^{4r}\\\\1000000=ae^{4r}\ \ .\ \ .\ \ .\ (2)\\\\Divide \ equation\ 2\ by\ equation\ 1:\\\\\frac{1000000}{62}=\frac{ae^{4r}}{ae^{2r}} \\\\16129=e^{2r}\\\\ln(e^{2r})=ln(16129)\\\\2r=9.688\\\\r=4.844$