the circle shown has a radius of 4cm what is the length and diameter of the circle

Answer:

This will now be ⁴√(7^9)

Step-by-step explanation:

c=4

a=7

b=9

The Inequality which ensure triangle exists is A. 7/4 < x < 11/2

Inequality is defined as the relation between two quantities with the sign of inequality that is >, <, ≤ , ≥ ."

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal.

Theorem used In ΔABC,

AB + BC >AC

AC+ BC >AB

AC + AB > BC

According to the question,

In triangle ABC.

AC = 18units

BC = 6x units,

AB = 2x + 4 units

Substitute the value in the inequality to ensure triangle exists we get 7/4 < x < 11/2. The correct option is A.

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Answer:

Step-by-step explanation:

In math, every function has a domain and a range.

Therefore, with this information given to us, we need to also know about coordinate pairs. Coordinate pairs are written in (x, y) form.

Functions are classified in four ways:

Finally, the domain and range should be written in ascending order. Therefore, the lowest number should be written first in the domain and the highest number should be written last.

Function 1

We are given the function: \(\text{ \{(-3, 3)}, (1, 1), (0, -2), (1, -4), (5, -1) \} }\).

Using the information above, we can pick out our x and y-values from the function.

Values of Domain: -3, 1, 0, 1, 5

Values of Range: 3, 1, -2, -4, -1

Now, we need to arrange these in ascending order.

Domain Rearranged: -3, 0, 1, 1, 5

Range Rearranged: -4, -2, -1, 1, 3

Using these values, we can see what values we have.

For x-values:

x = -3: 1 value

x = 0: 1 value

x = 1: 2 values

x = 5: 1 value

For y-values:

y = -4: 1 value

y = -2: 1 value

y = -1: 1 value

y = 1: 1 value

y = 3: 1 value

Therefore, we can begin classifying this function. Because we have all separate y-values, we have a function. However, we have two of the same x-value, so we have an onto function.

Now, we can create our domain and range in the set. We use the same formatting given for the first function. We list the values in ascending order and list them in brackets to show that they are apart of a set.

The domain values are the x-values, so they are \(\text{ \{-3, 0, 1, 5\}}\).

The range values are the y-values, so they are \(\text{ \{-4, -2, -1, 1, 3\}}\).

Therefore, the domain and range for function one are defined, but this is not a function. Because the x-values repeat, it cannot be a function.

Function 2

We are given a table of values that needs to be translated into the set notation. This makes it easier to identify the values. We are given x-coordinates in the top row and y-coordinates in the bottom row. And, the table is set up to where the x-value directly above the y-value makes a coordinate pair. Using this, we can create the set function.

The set function is \(\text{ \{(-2, -7), (-1, -2), (0, 1), (1, -2), (2, -7)\}}\).

Now, we can use the same method as above to pick out the x and y-values and reorder them to be from least to greatest.

Values of Domain: -2, -1, 0, 1, 2

Values of Range: -7, -2, 1, -2, -7

Now, we rearrange these.

Domain Rearranged: -2, -1, 0, 1, 2

Range Rearranged: -7, -7, -2, -2, 1

Now, we can check how many times the function presents each coordinate.

For x-values:

x = -2: 1 value

x = -1: 1 value

x = 0: 1 value

x = 1: 1 value

x = 2: 1 value

For y-values:

y = -7: 2 values

y = -2: 2 values

y = 1: 1 value

Now, we can classify the function. The x-values are unique, but the y-values are repeated. Therefore, because the x-values are assigned to one y-coordinate and they are unique, this is not an one-to-one function. Additionally, it cannot be an onto function because the y-values are not unique - they are repeated. Therefore, it is neither an one-to-one function or an onto function. If this function were graphed, it would actually reveal a parabola. However, it is still a function.

The domain values are the x-values, so they are \(\text{ \{-2, -1, 0, 1, 2\}}\).

The range values are the x-values, so they are \(\text{ \{-7, -2, 1\}}\).

The mean number of manufacturing processes that need to be performed before a commercially successful one is 8.

Probability is a way to gauge how likely something is to happen. It is a mathematical concept that measures the probability or likelihood of an event occurring. It is stated as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty.

The probability of a single manufacturing process producing a commercially successful result is 12.5%, which can be expressed as a probability of success (p) of:

p = 0.125

The probability of the first commercially successful process occurring on the first attempt is p, and the probability of it occurring on the second attempt is (1-p)p (i.e. the probability of failure on the first attempt times the probability of success on the second attempt). Similarly, the probability of it occurring on the third attempt is (1-p)²p, and so on.

The mean, or expected value, of the number of processes required to achieve a single success can be calculated using the geometric distribution, which describes the number of independent Bernoulli trials required to achieve the first success. The formula for the mean of the geometric distribution is:

mean = 1/p

Substituting the value of p, we get:

mean = 1/0.125

mean = 8

Therefore, the mean number of manufacturing processes that need to be performed before a commercially successful one is 8.

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Therefore ,  \(-4|x|\)   is the square root of \(-\sqrt{16x^{2} }\)

When a number is multiplied by itself, the result is known as the square root of the number. To represent the square root, use the radical symbol. For illustration, \(\sqrt\)16 = 4. Another name for the radical sign is the root symbol or surds.

given

- \(\sqrt{16x^{2}\) when \(x\) < 0,

In order to solve the given expression we will take the square root of the term inside the root.

Perfect squares (squares of integers) make up the word in the square root, thus we can express it as a square of the numbers.

⇒  \(-\sqrt{(4x)^{2} }\)    [ as \((4x)^{2}\) = \(16x^{2}\)]

On taking square root the square gets removed. So, we have,

\(-|4x|\)  =\(-4|x|\)

Since , so the value would be negative.

Therefore , \(-4|x|\) is the square root of \(-\sqrt{16x^{2} }\)

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the APR for this loan is approximately 14.27%.

To find the APR for this loan, we can use the formula:

APR = (2 * n * F) / (P * (n + 1))

where:

n = number of payments (24 in this case)

F = finance charge per $100 financed ($11.45 in this case)

P = amount financed per $100 (which we don't know yet)

We need to solve for P to be able to use the formula. We know that the finance charge is $11.45 for every $100 financed, so we can set up the equation:

11.45 = F / P

where F is the finance charge per $100 financed and P is the amount financed per $100.

Solving for P, we get:

P = F / 11.45

P = 100 * (11.45 / 100)

P = $1,000

So the amount financed is $1,000.

Now we can substitute the values into the APR formula:

APR = (2 * n * F) / (P * (n + 1))

APR = (2 * 24 * 11.45) / (1000 * (24 + 1))

APR = 0.1427 or 14.27%

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To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

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Answer:

Step-by-step explanation:

y - 4 = 6(x - 0)

y - 4 = 6x - 0

y = 6x + 4

Step-by-step explanation:

The range is all possible values of the dependent variables, which is the y values here.

The y values minimum is -1, and the y values maximum is 1., both inclusively.

So the range is [-1,1]

The values of x and y are 20 and 12.

The values of x and y are -3 and 2.

We have,

In a parallelogram,

- Opposite sides are congruent:

The opposite sides of a parallelogram have equal lengths.

- Opposite angles are congruent:

The opposite angles of a parallelogram have equal

Now,

a)

Opposite angles are congruent:

So,

5x + 29 = 7x - 11

29 + 11 = 7x - 5x

40 = 2x

2x = 40

x = 40/2

x = 20

And,

3y + 15 = 5y - 9

15 + 9 = 5y - 3y

24 = 2y

y = 24/2

y = 12

b)

Opposite sides are congruent:

So,

-6x = -4x + 6

-6x + 4x = 6

-2x = 6

x = -3

And,

7y + 3 = 12y - 7

12y - 7y = 3 + 7

5y = 10

y = 2

Thus,

The values of x and y are 20 and 12.

The values of x and y are -3 and 2.

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The random variable x can take on the values of 0, 1, 2, or 3, representing the number of defective items in the sample of 3 items.

The random variable x represents the number of defective items in a sample of 3 items selected at random from the box.

Since there are 3 defective items out of 12 total items, the probability of selecting a defective item on the first draw is 3/12 or 1/4.

After the first draw, there are only 11 items remaining in the box, of which 2 are defective. Therefore, the probability of selecting a defective item on the second draw, given that the first draw was also defective, is 2/11.

Similarly, the probability of selecting a defective item on the third draw, given that the first two draws were also defective, is 1/10.

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Answer:

Ask away by typing or recording your messageAdam, Ben and Carly work out the mean of their ages.Adam is 4 years older than the mean. Ben is 1 year younger than the mean.Is Carly older or younger than the mean?By how many years?Let's start by finding the mean of their ages. We can do this by adding their ages and dividing by the number of people: Mean = (Adam's age + Ben's age + Carly's age) / 3 Let's call the mean "M" for now. We can use this to create two equations based on the information given: Adam = M + 4 Ben = M - 1 We can substitute these equations into the mean equation to get: M = (M + 4 + M - 1 + Carly's age) / 3 Simplifying this equation gives us: 3M = 2M + 3 + Carly's age Carly's age = M - 3 So Carly's age is younger than the mean by 3 years.Hey ✋, are you still around? anything else on your mind?To the nearest tenth of a second, how long after the pebble falls will it hit the ground?sTo answer this question, we need to know the height from which the pebble was dropped. We can use the formula: time = sqrt(2 * height / acceleration due to gravity) Assuming the pebble was dropped from a height of 10 meters, and taking the acceleration due to gravity as 9.8 m/s^2, we get: time = sqrt(2 * 10 / 9.8) = 1.43 seconds (to two decimal places) Therefore, the pebble will hit the ground approximately 1.43 seconds after it was dropped.

0 / 350

The key features of the given quadratic functions are listed below.

In Mathematics and Geometry, the graph of any quadratic function would always form a parabolic curve because it is a u-shaped. Based on the first quadratic function, we can logically deduce that the graph is an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero (0) i.e 3 > 0.

For the quadratic function y = 3x² - 5, the key features are as follows;

Axis of symmetry: x = 0.

Vertex: (0, -5).

Domain: [-∞, ∞]

Range: [-5, ∞]

For the quadratic function y = -2x² + 12x - 15, the key features are as follows;

Axis of symmetry: x = 3.

Vertex: (3, 3).

Domain: [-∞, ∞]

Range: [-∞, 3]

For the quadratic function y = -x² + 1, the key features are as follows;

Axis of symmetry: x = 0.

Vertex: (0, 1).

Domain: [-∞, ∞]

Range: [-∞, 1]

For the quadratic function y = 2x² - 16x + 30, the key features are as follows;

Axis of symmetry: x = 4.

Vertex: (4, -2).

Domain: [-∞, ∞]

Range: [-2, ∞]

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Answer:

Yaa.... It's right option... Go for it

Hope it's help you.... ^_^❤️

Answer: x⁰⁄₂ + 0 = y or x⁰⁄₂ = y

Step-by-step explanation:

Equation of a line is mx+b=y

m=slope

The slope is ʸ⁄ₓ or in this case ⁰⁄₂

b=where the line cross the y-axis which is 0, when it is 0 there is no use in write +0 after the equation, as there is no difference, but it is your choice

Answer:

green line or "b"

Step-by-step explanation:

we can set this up into the slope intercept form

y=mx+b

where m is the slope and b is y intercept

12=3x+4y

-3x -3x

-3x+12=4y

/4.  /4.  /4

-3/4x+3=y

we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"

hopes this helps please mark rainliest

Answer:

Step-by-step explanation:

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

11.6 miles per gallon

Step-by-step explanation:

Answer:

11.6 miles per gallon

Step-by-step explanation:

just divide

replacing h by 4h, we have the new area is

b(4h)/2 = 4(bh/2)

so the area is increased by a factor of 4

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57

Answer:

about 14 chairs

Step-by-step explanation:

All you do is do 95 divided by 7, which is 13.57142857142857.... If your teacher would want you to round, then answer with 14, but if they wouldn't, I would just do 14

Answer:

1+33x=12

-1         -1

33x=11

33   33

x=0.3

:)

Answer:

the answer is c because it can be either greatly increased or decreased

Answer:

-2120x

Step-by-step explanation: