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Gnom [1K]
3 years ago
6

What is the radius for the circle given by the equation x^2+(y -3)^2 = 21

Mathematics
2 answers:
Leviafan [203]3 years ago
8 0

Answer:

4.583

Step-by-step explanation:

The equation for the radius r of a circle can be found from

(x – h)2 + (y – k)2 = r2,

Where h and k are the center points along the x and y axis respectively.

Comparing with the equation given;

x^2+(y -3)^2 = 21

h = 0, y = 3 and r^2 = 21

r = √21

= 4.583 (to the nearest thousand)

Note that unit of measurement may apply where given.

MatroZZZ [7]3 years ago
3 0

\bf\textit{equation of a circle}\\\\(x- h)^2+(y- k)^2= r^2\qquadcenter~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquadradius=\stackrel{}{ r}\\\\[-0.35em]\rule{34em}{0.25pt}\\\\x^2+(y-3)^2=21\implies (x-0)^2+(y-3)^2=(\sqrt{21})^2\qquad \begin{cases}center~(0,3)\\r=\sqrt{21}\end{cases}\\\\\\r\approx 4.58257569495584000659\implies r = \stackrel{\textit{rounded up}}{4.583}

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A sample of blood pressure measurements is taken for a group of​ adults, and those values​ (mm Hg) are listed below. The values
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Answer:

For systolic pressure data:

\bar X =127.2\\\\S=17.91668\\\\CV=\frac{17.91668}{127.2}=0.14085

For diastolic pressure data:

\bar X =73.5\\\\S=12.54\\\\CV=\frac{73.5}{12.54}=0.17061

Systolic pressure is slightly less variable, among individuals in the sample, than diastolic pressure.

Step-by-step explanation:

The coefficient of variation is defined as the percentage relative variation of a set of data with respect to its average. And it is calculated like this:

CV=\frac{\bar X}{S}

S =\sqrt{\frac{1}{n-1} \sum_{i=1}^n (x_i-\bar{x})^2

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For systolic pressure data:

\bar X =127.2\\\\S=17.91668\\\\CV=\frac{17.91668}{127.2}=0.14085

For diastolic pressure data:

\bar X =73.5\\\\S=12.54\\\\CV=\frac{12.54}{73.5}=0.17061

It is observed that the systolic pressure shows greater standard deviation but less coefficient of variation. This is due to the greater magnitude of its measurement scale.

Systolic pressure is slightly less variable, among individuals in the sample, than diastolic pressure.

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3 years ago
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Answer:

(0, 0) and (3, 0)

Step-by-step explanation:

Zeros of any equation means, value of variable x at y = 0.

Given quadratic equation is,

y = -x(x - 3)

For y = 0,

-x(x - 3) = 0

x = 0

And (x - 3) = 0

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Therefore, x-intercepts of the given quadratic equation will be,

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Points showing the x-intercepts will be,

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Answer:

Thus, the coffee shop is willing to supply 6 pounds per week at a price of $4 per pound.

Step-by-step explanation:

We are given the following information in the question:

The marginal price per pound (in dollars) is given by:

p'(x) = \displaystyle\frac{208}{(x+7)^2}

where x is the supply in pounds.

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