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goblinko [34]
3 years ago
5

The equation of the circle whose center is at (3, 7) and whose radius is 6 is a. (x + 3)² + (y + 7)² = 6 b. (x + 3)² + (y + 7)²

= 36 c. (x - 3)² + (y - 7)² = 36
Mathematics
1 answer:
kicyunya [14]3 years ago
8 0
\bf \textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{3}{ h},\stackrel{7}{ k})\qquad \qquad 
radius=\stackrel{6}{ r}
\\\\\\
(x-3)^2+(y-7)^2=6^2\implies (x-3)^2+(y-7)^2=36
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Suppose that z=6^500. Express the following in terms of z.
Studentka2010 [4]

Answer:

1. z^2

2. 14z

Step-by-step explanation:

  • We know that (a^m)^n = a^(mn) = (a^n) ^m

We also know that (a^m)(a^n) = a^(m+n)

  1. 36 can be written as 6^2 and here 36^(500) can be written as (6^2)^500 which also can be written as (6^500)^2 and as already it is mentioned that 6^500 as z we can write the above as <u>z^2</u>

2. 8 x 6^500 = 8z

And we can also write 6^(501) as 6^(500+1) which is equivalent to 6(6^500) which is 6z.

From the above we can make sure that the question is the sum of the above which is 8z + 6z = <u>14z</u><u>.</u>

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Step-by-step explanation:

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5 0
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The average systolic blood pressure was found to be 140 mm for people who have high responsibility jobs, specifically investment
defon

Answer:

t = -1.428

Step-by-step explanation:

Average blood pressure among people with high responsibility jobs = u = 140 mm

Number of people sampled for the study = n = 51

Average blood pressure of the sample = x = 139 mm

Standard deviation of the sample = s = 5 mm

The claim is that practicing yoga decreases the blood pressure. So we have to test that after practicing yoga, the average blood pressure will be lesser than 140. Based on this we can formulate the null and alternate hypothesis as:

Null Hypothesis: \mu \geq 140

Alternate Hypothesis: \mu < 140

Since population standard deviation is not known, we cannot use z-distribution for this test. We are given the value of sample standard deviation, so t-test will be used for this case.

Test statistic is calculated as:

t=\frac{x-u}{\frac{s}{\sqrt{n} } }

Using the values in this formula gives us:

t=\frac{139-140}{\frac{5}{\sqrt{51}}}\\\\ t=-1.428

Therefore, the value of test statistic is -1.428

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d is is the defenit answer

4 0
3 years ago
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6 0
2 years ago
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