Which is the equation of a circle with a radius of 6 and a center of (3,-1)?
(x - 3)2 + (y+1)2 = 36
(x+3)2 + (y - 1)2 = 36
(x+3)2 + (y - 1)2 = 6
(x-3)2 + (y+ 1)2 = 6

Answer:

y = 8

Step-by-step explanation:

Since the y- coordinates of the points are equal, both 8 , then

This indicates the line is horizontal and parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through

The line passes through (- 3, 8 ) and (- 7, 8 ) with y- coordinates 8 , then

y = 8 ← equation of line

Answer:

5

Step-by-step explanation:

We want the average arrests to be 4. It can be done by calculating the average between the average arrests and arrests during the 5th week, so we get:

Avg(1,2,3,4,5) = (Avg(1,2,3,4) + A(5)) / 2

Where Avg(x) is the average of arrests in given weeks, and A(x) is the number of arrests in a given week.

Solving for A(5) => A(5) = 2*Avg(1,2,3,4,5) - Avg(1,2,3,4) = 2 * 4 - 3 = 8-3 = 5

Answer:

B : x € (-∞, 1)

Step-by-step explanation:

we have 4x +9 -2 +3x < 14

7x +7 < 14

7(x+1) < 14

x + 1 < 2

x < 1

=> x € (-∞, 1)

Answer:

y=48

Step-by-step explanation:

180-135=55-7=y=48

Answer:

lol in your head , literally

Step-by-step explanation:

After one of your limbs is amputated, you may feel as if the limb is still there. This is called phantom sensation. You may feel: Pain in your limb even though it is physically not there.

Answer:

The nerve in your leg.

Explanation:

It's not your leg that will hurt but the nerve in your leg that'll hurt. So wherever the leg is cut, the nerves must be cut as well, but another thing is when  one of your limbs is amputated, you may feel like the limb is still there. That's called phantom sensation. You might feel pain in your "limb" even though it's not physically there.

Using the t-distribution, it is found that:

a)

The null hypothesis is: [tex]H_0: \mu \geq 60[/tex]

The alternative hypothesis is: [tex]H_1: \mu < 60[/tex]

b) t = -1.47

c) 0.0878.

d) Do not reject the null hypothesis.

e) Not enough evidence to conclude that the average maximum amount of time people can hold their breath is less than 60 seconds.

Item a:

At the null hypothesis, it is tested if the mean is not less than 60 seconds, that is:

[tex]H_0: \mu \geq 60[/tex]

At the alternative hypothesis, it is tested if the mean is less than 60 seconds, that is:

[tex]H_1: \mu < 60[/tex]

Item b:

We can find the standard deviation for the sample, hence, the t-distribution is used to solve this question.

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

With the help of a calculator to find the sample mean and the standard deviation, the values of the parameters are:

[tex]\overline{x} = 55.8, \mu = 60, s = 9.04, n = 10[/tex]

Hence, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{55.8 - 60}{\frac{9.04}{\sqrt{10}}}[/tex]

[tex]t = -1.47[/tex]

Item c:

The p-value is found using a left-tailed test, as we are testing if the mean is less than a value, with 10 - 1 = 9 df and t = -1.47.

Item d:

The p-value is of 0.0878 > 0.05, hence, we do not reject the null hypothesis.

Item e:

Since the null hypothesis is not rejected, there is not enough evidence to conclude that the average maximum amount of time people can hold their breath is less than 60 seconds.

A similar problem is given at brainly.com/question/24826023

Step-by-step explanation:

I really hope that that will be helpful to you

Answer:

Step-by-step explanation:

0 is not an interval, it is just the origin

hard to make an estimate without knowing the limits.

average rate of change will be Δy / Δx or (y - y₀) / (x - x₀)

as (0, 0) is the origin and appears to be on the plot line, the average rate of change will be y/x for any other point on the curve relative to the origin.

EDIT

for interval 0 ≤ x ≤ 8

at x = 8 y appears to be -24

average change is -24 / 8 = -3

Answer:

$85.50

Step-by-step explanation:

57 x 1.5 = 85.5

Answer:

11 11/12

Step-by-step explanation:

Answer:

≈ 12

Step-by-step explanation:

To estimate, we'll round these mixed numbers to the nearest whole number, then multiply. Let's start with 4 1/3. 4 1/3 is closest to 4, since 1/3 is smaller than 1/2. Then, we can look at 2 3/4. This mixed number is closest to 3, since 3/4 is greater than 1/2.

Now, the two numbers we have are 4 and 3. What is 4 × 3? Well, that's pretty simple - the answer is 12. So, 4 1/3 × 2 3/4 ≈ 12. Hopefully that's helpful! :)

Answer:

b

Step-by-step explanation:

one trip = 2724 miles

one round trip = 2 trips = 2724 * 2 = 5448 miles

We want to see how many round trips go into the miles needed for a free flight. We want to see how many times 5448 goes into 25000. To do this, we can use division.

25000/5448 ≈ 4.6

If we only have 4 round trips, it will not be enough for 4.6, so we will not be able to obtain a free flight. If we have 5, we will be able to, as 5 > 4.6

Answer:

  Rs 8500

Step-by-step explanation:

For a cost price of c, the marked price is ...

  marked = c +25%·c = 1.25c

After the 15% discount, the sale price will be ...

  s = marked -15%·marked = 0.85·marked = (0.85)(1.25c) = 1.0625c

The profit will be the difference between the sale price s and the cost c:

  p = s -c

  500 = (1.0625c) -c = 0.0625c

Then the cost is ...

  500/0.0625 = c = 8000

and the sale price is ...

  s = c +p = 8000 +500 = 8500 . . . rupees

The selling price will be Rs 8500.

Answer:

128

Step-by-step explanation:

Step-by-step explanation:

False, the moon weight is 1/6 of Earth weight. Let y our Earth weight, and let x be our moon weight. We can write this as y=6x.

Answer:

3.0

4.5

6.0

7.5

Step-by-step explanation:

it rains at the rate of 1.5cm per hour

In two hours, the amount will be; 1.5 × 2

= 3cm

in the three hours, the amount will be 1.5×3

=4.5cm

in four hours, the amount will be; 1.5×4

=6cm

in five hours, the amount will be; 1.5×5

=7.5cm

Answer:

rise over run

Step-by-step explanation:

you look at the distance between the 2 points by looking at how many points its goes up or down, and you look at how points it goes from the left to the right or vice versa. but if you don't have a graph to look at, you will want to use the slope formula. look up the slope formula and plug it in.

Answer:

Step-by-step explanation:

From the point one on the graph, you go up (rise) making loops each time you go up (shown in red) then, once you've reached the same hight of point two, you go over (run), making loops once again (shown in blue). Then, you take the rise and put it over the run, so in the image attached it would be 4/3.

Answer:

16feet

part B is 18 feed for a good at a better than the price but the one

Answer:

4:6

Step-by-step explanation:

2 x

- = ----

3 6

6/3 = 2

2 x 2 = 4

31

If you had 60 t-shirts and wore 4 and had 25 you do 25+4=29 then you do 60-29 that =31 so you will have sold 31 t-shirts

Answer:

78300 rounded to the nearest hundred is 78300.00 it would basically be the sam thing as 78300

Step-by-step explanation:

Hope this helps :)

Answer:

1.

[tex] \frac{n^{2} - 1 }{2} [/tex]

2.

[tex] \sqrt{29} [/tex]

Step-by-step explanation:

Area of triangle=1/2×b×h

=

[tex] \frac{1}{2} \times (n - 1)(n + 1)[/tex]

[tex] \frac{( {n}^{2} + n - n - 1) }{2 } [/tex]

[tex] \frac{ {n}^{2} - 1 }{2} [/tex]

2. Area of triangle=14

[tex] \frac{ {n}^{2} - 1 }{2} = 14[/tex]

[tex] {n}^{2} - 1 = 28[/tex]

[tex] {n}^{2} = 29[/tex]

[tex]n = \sqrt{29} [/tex]

please rate well and mark BRAINLIEST.

thanks

Answer: 4)

Step-by-step explanation:

f(4) = -14

g(4) = 10

g(-2) = 4

f(2) = -8

f(-2) = 4

The correct statement is 4) f(-2) = g(-2)

Or by inspection, we can see that the graph f(x) intersects g(x) at x = -2 and    y = 4. So, f(-2) = g(-2) = 4 is true

Answer:

14r

Step-by-step explanation:

since there are 14 members and each sold r tickets r x 14 which is 14r

Answer:

Step-by-step explanation:

seven options 1, 2, 3, 4, 5, 6, 7

three successes for it being even. 2, 4, 6

odds are 3:7 of against randomly drawing an odd numbered ball.

Answer:

112cm^3

Step-by-step explanation:

Formula for volume of a cone is:

[tex] \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]

r = radius and h = height

To find the radius you divide the diameter by 2:

12.9 ÷ 2 = 6.45

Now substitute values into the formula:

[tex] \frac{1}{3} \times \pi \times {6.45}^{2} \times 16.6[/tex]

Which equals 112cm^3

Answer:

24

Step-by-step explanation:

13,14,18,21,22,26,32,39,39,42

middle is 22 and 26

therefore you add and divide by 2

then you'll get 24

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~