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3 years ago

A circle with center O is shown. Create the equation for the circle.

Mathematics

1 answer:

gulaghasi [49]3 years ago

3 0

Answer:

(5 - 1)^2 + (1 - 1)^2 = 4^2

Step-by-step explanation:

Circle equation: ( x - h )^2 + ( y - k )^2 = r^2

(h,K) is the coordinate of the center.

Center: (1,1)

(x,y) choose a point that could be the radius. (I choose the one on the top left side).

Point: (5,1)

Diameter: 8

Radius: 4

Plug in:

( x - h )^2 + ( y - k )^2 = r^2

(5 - 1)^2 + (1 - 1)^2 = 4^2 (or 16)

Solve to see if it's true,

(5 - 1)^2 + (1 - 1)^2 = 4^2 (or 16)

4^2 + 0^2 = 4^2

16 = 16 (This is true, therefore, the equation is correct).

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A number cube with faces labeled from 1 to 6 will be rolled once.

kramer

Answer:

$\Omega=\{1,2,3,4,5,6\}$

$A=\{1,2,3,4\}$

Step-by-step explanation:

Sample Space

The sample space of a random experience is a set of all the possible outcomes of that experience. It's usually denoted by the letter $\Omega$ .

We have a number cube with all faces labeled from 1 to 6. That cube is to be rolled once. The visible number shown in the cube is recorded as the outcome. The possible outcomes are listed as the sample space below:

$\Omega=\{1,2,3,4,5,6\}$

Now we are required to give the outcomes for the event of rolling a number less than 5. Let's call A to such event. The set of possible outcomes for A has all the numbers from 1 to 4 as follows

$A=\{1,2,3,4\}$

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4 years ago

a male elephant weighs 6708 pounds. A female elephant weighs 5823 pounds to the nearest hundred what is the total weight of the

oksian1 [2.3K]

Add the weight of both elephants then round to the nearest 100

5 0

3 years ago

Read 2 more answers

Find: 11 11/3 ÷ 2 2/3 The quotient is 5 and __.

Zinaida [17]

Answer: The quotient is 5.5

Step-by-step explanation

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3 years ago

The women’s heptathlon in the Olympics consists of seven track and field events: the 200-m and 800-m runs, 100-m high hurdles, s

SpyIntel [72]

Answer: Prokhorova is more outstanding.

Step-by-step explanation: To compare scores from different distributions, first standardize it:

z-score = $\frac{x-\mu}{\sigma}$

where

x is the individual mean you want to compare

μ is the mean of the population

σ is standard deviation

For Gertrud Bacher:

z-score = $\frac{129-137}{5}$

z-score = $-1.6$ (s)

The negative sign indicates Bacher's mean is less than the mean

For Yelena Prokhorova:

z-score = $\frac{660-600}{30}$

z-score = 2 (cm)

The positive sign indicates Prokhorova's mean is more than the mean.

Using z-score table, you determine the percentiles are:

For Bacher: Percentile = 5.5%

For Prokhorova: Percentile = 97.7%

Bacher's percentile means she is above 5.5% of the participants, while Prokhorova is 97.7% above the other competitors, which means Prokhorova have a better performance and deserves more points.

3 0

3 years ago

Please help! For the function f(x) = 2x^6 + 3x^4 - 4x^3 + (1/x) - sin(2x) find the first four derivatives.

klasskru [66]

Answer:

See the explanation

Step-by-step explanation:

We know that

f(x) = 2x⁶ + 3x⁴ - 4x³ + (1/x) - sin2x

Lets calculate the derivatives:

f'(x) = 6(2x⁵) + 4(3x³) - 3(4x²) -( 1/x²) - 2(cos2x)

f'(x) = 12x⁵ + 12x³ - 12x² - (1/x²) - 2cos2x

Similarly:

f''(x) = 60x⁴ + 36x² - 24x + (2/x³) + 4sin2x

f'''(x) = 240x³ + 72x - 24 - (6/x⁴) + 8cos2x

Rearrange:

f'''(x) - 240x³ +72x - (6/x⁴) + 8cos2x - 24

f''''(x) = 720x² + 72 + (24/x⁵) - 16sin2x

Rearrange:

f''''(x) = 720x² + (24/x⁵) - 16sin2x +72

8 0

3 years ago

A circle with center O is shown. Create the equation for the circle.​

A circle with center O is shown. Create the equation for the circle.