Which of the following sets represents the range of the diagram below?
3
0 0
4
5
5
f(x)
OA. (1, 3, 4, 5)
OB. {1, 2, 3, 4, 5)
OC. {2, 4, 5}
OD. (2, 3, 4, 5, 6, 7}
24

Answer:

the x mean 12 because 12×12=144 so there is the answer

Answer:This would be option letter C

Step-by-step explanation:The diagram is a gram of external geofram so the position Is fFX(4) ^N

Answer:

D

Step-by-step explanation:

f(x)= -x^2+4

Draw graph of -x^2 and shift it 4 units above

The value of set c will be equal to {2, 5, 10}.

A set contains elements or members that can be mathematical objects of any kind, including numbers, symbols, points in space, lines, other geometric shapes, variables, or even other sets. A set is the mathematical model for a collection of various things.

In mathematics, a set is a logically arranged group of items that can be represented in either set-builder or roster form. Sets are typically denoted by curly brackets; for instance, A ={ 1, 2, 3, 4 } is a set.

A set is a collection of items that are meant to be used together, such as the set of even numbers (2, 4, 6, etc.) or your bedroom set, which consists of your bed, nightstands, and dresser.

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Answer: the set c will equal {2, 5, 10}.

Using multiplication, the total length of all the sunflowers in the garden is 1,260 inches.

Multiplication is one of the four basic mathematical operations, including addition, subtraction, and division.

Multiplication operation involves the multiplicand, the multiplier, and the product.

The total number of sunflowers in the garden = 210

The length of each sunflower = 6 inches

The total length of all the sunflowers = 1,260 inches (210 x 6)

Thus, based on multiplication operation, the total length of the sunflowers in the garden can be stated to be 1,260 inches.

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Assume that each sunflower measures 6 inches in length and there are 210 sunflowers in the garden.

Answer:

Step-by-step explanation:

To solve for f, we can cross-multiply the equation:

f/40 = 10/f

Multiplying both sides by 40f gives:

f^2 = 400

Taking the square root of both sides yields:

f = ±20

Therefore, the solutions for f are f = 20 and f = -20. However, since f represents a physical quantity (presumably a frequency), we take only the positive value:

f = 20

Answer:

as we know, the integral of \(x^{n}\) is \(\frac{x^{n+1} }{n+1}\)

so, the integral of x.\(2^{x}\) will be found as follows:

here, we will use a trick called 'integration by parts'

let x = u and \(2^{x}\) = v

∫uv dx = u∫v dx - ∫[(du/dx)* ∫v dx] dx

∫x.\(2^{x}\) dx = x∫\(2^{x}\) - ∫[(dx/dx) * ∫\(2^{x}\) dx ] dx

∫x.\(2^{x}\) dx = x*\(\frac{2^{x+ 1}}{x+ 1}\) - 1 * \(\frac{2^{x + 1} }{x + 1}\)

= \(\frac{2^{x} }{x + 1}\)( x - 1 )

Answer:

851,243,679,010

851,432,697,201

815,234,739,120

815,234,796,002

Answer:

6,10,or 30 is your answer

Answer:

Output would be f(x)

f(x) = x/2

Step-by-step explanation:

The following form has two parallel sides, and, in accordance with the provided assertion, its area is 21 cm².

Area is the entire amount of space occupied by a flattened (2-D) surface or form of an item. The area of a planar figure is the space that its perimeter encloses. The quantity of unit rectangles that completely encircle a closed figure's surface is its area. Square units such as cm² and m² are used to measure area.

The ratio will also be 1/2 * (bases 1 + base 2) * length since it is a trapezium.

So, 1/2 * ( 9+5) * 3

   = 1/2 * 14 * 3

   =  1/2 * 42

   =  21 cm²

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The nth term of the sequence -3, 0, 5, 10, 25, 5, 47 can be represented by the piecewise function:

nth term =

-3 + (n - 1) * 5, if n mod 5 ≤ 5

5 + (n - 1) * 15, if n mod 5 > 5

To find the nth term of a sequence, we need to identify the pattern or rule that governs the sequence. Upon analyzing the given sequence -3, 0, 5, 10, 25, 5, 47, we can observe the following:

The sequence starts with -3 and increases by 5 each time, except for the 5th term, where it increases by 15 (from 10 to 25). After the 5th term, the sequence starts again with 5 and continues to increase by 15 each time.

Based on this pattern, we can divide the sequence into two parts:

Part 1: -3, 0, 5, 10, 25 (increasing by 5 each time)

Part 2: 5, 20, 35, 50, 65 (increasing by 15 each time)

Now, to determine the nth term, we can consider the formula for arithmetic sequences:

nth term = first term + (n - 1) * common difference

For Part 1, the first term is -3 and the common difference is 5. Thus, the nth term for Part 1 is given by:

nth term = -3 + (n - 1) * 5

For Part 2, the first term is 5 and the common difference is 15. Therefore, the nth term for Part 2 can be expressed as:

nth term = 5 + (n - 1) * 15

However, since the sequence alternates between Part 1 and Part 2, we need to determine which part the nth term falls into. For that, we can use modular arithmetic:

If n mod 5 is less than or equal to 5, then the nth term is from Part 1.

If n mod 5 is greater than 5, then the nth term is from Part 2.

Let's calculate a few terms to illustrate this:

For n = 1, the sequence starts with -3, so the 1st term is -3.

For n = 2, we are still in Part 1, so the 2nd term is 0.

For n = 3, Part 1 continues, so the 3rd term is 5.

For n = 4, we are still in Part 1, so the 4th term is 10.

For n = 5, Part 1 ends, and the 5th term is 25.

For n = 6, the sequence starts with 5 in Part 2, so the 6th term is 5.

For n = 7, Part 2 continues, so the 7th term is 20.

For n = 8, we are still in Part 2, so the 8th term is 35.

Based on this analysis, we can conclude that the nth term for the given sequence is:

If n mod 5 ≤ 5:

nth term = -3 + (n - 1) * 5

If n mod 5 > 5:

nth term = 5 + (n - 1) * 15

Therefore, depending on the value of n and the remainder when divided by 5, we can use the appropriate formula to calculate the nth term.

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Answer:

Step-by-step explanation:

372 Millimeters

Answer:

2,300 millimeters

Step-by-step explanation:

when you convert 30 centimeters it’s 300 millimeters. When you convert 2 meters it’s 2,000 millimeters so…. That is the correct answer plus I just did the quiz and got it correct with that answer.

Answer:

y = 36

Step-by-step explanation:

y = ax²

100 = a (5)² → 100 = 25a → a = 4

y = 4x²

x = 3 → y = 4(3)² = 36

Answer:

cioè x ≥ 1; si avrà pertanto x > 0

Step-by-step explanation:

EXERCISE 2. Risolvere le seguenti disuguaglianze:

(1) | x−1 |< 3

(2) | x+1 |> 2

(3) | 2x+1 |< 1

(4) | x−1 |<| x+1 |

Caso: (a): | x−1 |< 3, risolvo

x−1 < 3

x ≥ 1

∪

−x+1 < 3

x < 1

, si avrà quindi

x < 4

x ≥ 1

cioè 1 ≤ x < 4 e

x > −2

x < 1

cioè −2 < x < 1. L’unione tra le due dà la soluzione −2 < x < 4

Caso: (b):

x+1 > 2

x ≥ −1

∪

−x−1 > 2

x < −1

, si avrà quindi

x > 1

x ≥ −1

cioè x > 1 e

x < −3

x < −1

cioè x < −3,

pertanto x < −3 ∪ x > 1

Caso: (c):

2x+1 < 1

x ≥ −1

2

∪

−2x−1 < 1

x < −

1

2

, si avrà quindi

x < 0

x ≥ −1

2

cioè −

1

2 ≤ x < 0 e

x > −1

x < −

1

2

cioè

−1 < x < −

1

2

. pertanto −1 < x < 0

Caso: (d): in questo caso,

−x+1 < −x−1

x < −1

∪

−x+1 < x+1

−1 ≤ x < 1

∪

x−1 < x+1

x ≥ 1

, si avrà quindi

0 < −2

x < 1

cioè non si hanno soluzioni e

x > 0

−1 ≤ x < 1

cioè 0 < x < 1 e

0 < 2

x ≥ 1

cioè x ≥ 1; si avrà pertanto x > 0

Answer:

a

  Yes

b

 \(P(1 \& 5) = \frac{1}{36}\)

c

 \(P(5 \& 1) = \frac{1}{36}\)

d

 \(P(5 \& 1 | 1\& 5 ) = \frac{1}{18}\)

Step-by-step explanation:

From the question we are told that

     Two fair dice, one green and one red were rolled

Generally the  outcomes on the dice independent because the outcome on the first dice is not affected by the second die

Generally the  probability of getting a 1  on a dice rolled is  \(P(1) = \frac{1}{6}\)

the  probability of getting a 5 on a dice rolled is  \(P(5) = \frac{1}{6}\)

Generally the probability of P(1 on green die and 5 on red die) is mathematically represented as

         \(P(1 \& 5) = \frac{1}{6} *\frac{1}{6}\)

         \(P(1 \& 5) = \frac{1}{36}\)

Generally the probability of P(5 on green die and 1 on red die) is mathematically represented as

          \(P(5 \& 1) = \frac{1}{6} *\frac{1}{6}\)

         \(P(5 \& 1) = \frac{1}{36}\)

Generally the probability of P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)) is mathematically represented as

          \(P(5 \& 1 | 1\& 5 ) = \frac{1}{36} + \frac{1}{36}\)

         \(P(5 \& 1 | 1\& 5 ) = \frac{1}{18}\)

The calculated value of k on the line is 9

From the question, we have the following parameters that can be used in our computation:

XZ is the perpendicular bisector of segment WY

This means that

WX = XY

substitute the known values in the above equation, so, we have the following representation

3k - 4 = 2k + 5

So, we have

3k - 2k = 4 + 5

Evaluate

k = 9

Hence, the value of k is 9

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Answer:

yes i love this app , this app so good

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Answer:

Step-by-step explanation:

5th term of the sequence is -4

To find the 5th term in the sequence, we need to substitute n =  5 into the expression given

 \(a_5\) =  26- 6( 5)  

\(a_5\) =  26- 30

\(a_5\) = -4  

The formula given, an =  26- 6n, represents an  computation sequence with a common difference of-6.

This means that each term in the sequence is  attained by obtain 6 from the  former term.  

It's important to note that the formula is written in general form, meaning that it can be used to find any term in the sequence by simply plugging in the  matching value of  n.

 In this case, we were asked to find the 5th term, so we substituted n =  5 into the formula to get a5 = -4.

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Answer:

10h = 370

hope this helps.

Answer:

0

Step-by-step explanation:

We need to solve the given expression for the value of h.

- 4(-5h-4)=2(10h+8)

Opening brackets on both sides of the above equation

+20h+4=20h+16

Taking h terms on the one side and the constants on the another side

20h-20h=16-4

0=20

It means that the value of - 4(-5h-4)=2(10h+8) is equal to 0.

Answer:

(3, 8)

Step-by-step explanation:

x² - 6x - y + 17 = 0

x² - 6x = y - 17

x² - 6x + 9 = y - 17 + 9

(x - 3)² = y - 8

The vertex is (3, 8)

The vertex of the parabola given by the equation x² - 6x - y + 17 = 0 is (3, 8).

To complete the square and find the vertex of the parabola given by the equation x² - 6x - y + 17 = 0, we can follow these steps:

1. Rearrange the equation: Move the constant term (17) to the other side of the equation by subtracting it from both sides. This gives us x² - 6x - y = -17.

2. Group the x-terms together: Rearrange the equation so that the x-terms are next to each other. This gives us x² - 6x = y - 17.

3. Complete the square: Take half of the coefficient of x (-6) and square it. Add this value to both sides of the equation. Half of -6 is -3, and (-3)² is 9. So we add 9 to both sides: x² - 6x + 9 = y - 17 + 9.

4. Simplify the equation: On the left side, the expression x² - 6x + 9 can be factored as (x - 3)². On the right side, -17 + 9 simplifies to -8. So the equation becomes (x - 3)² = y - 8.

5. Rewrite the equation in vertex form: The vertex form of a parabola is (x - h)² = 4p(y - k), where (h, k) represents the vertex of the parabola. Comparing this with our equation, we have (x - 3)² = y - 8, which matches the vertex form.

6. Identify the vertex: By comparing the equations, we can see that the vertex of the parabola is at the point (h, k) = (3, 8).

Therefore, by completing the square, we have found that the vertex of the parabola given by the equation x² - 6x - y + 17 = 0 is (3, 8).

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Answer:

length= 10 width=5

Step-by-step explanation:

Answer:

It think it is 35

Step-by-step explanation:

The sample space of an event is the list of possible elements of the event.

The set elements are:

The given parameters are:

S = {x : 0 ≤ x ≤ 10}

A = {x : 0 < x < 5}

B = {x : 3 ≤ x ≤ 7}

(a) Ac

This represents the list of elements in the universal set not in set A.

So, we have:

Ac = {x : 0, 5 ≤ x ≤ 10}

(b) A ∩ B

This represents the list of common elements in sets A and set B.

So, we have:

A n B = {x : 3 ≤ x ≤ 4}

(c) A ∪ B

This represents the list of all elements in sets A and set B, without repetition.

So, we have:

A ∪ B = {x : 0 < x ≤ 7}

d) A∩Bc

Given that:

B = {x : 3 ≤ x ≤ 7}

So, we start by calculating B^c i.e. the list of elements in the universal set not in set B.

So, we have:

Bc = {x : 1, 2, 8 ≤ x ≤ 10}

A∩Bc would then represent the list of common elements in sets A and set Bc

So, we have:

A∩Bc = {x : 1 ≤ x ≤ 2}

(e) A^c ∪ B

In (a), we have:

Ac = {x : 0, 5 ≤ x ≤ 10}

Given that:

B = {x : 3 ≤ x ≤ 7}

A^c ∪ B would then represent the list of all elements in sets Ac and set B

So, we have:

A^c ∪ B = {x : 0, 3 ≤ x ≤ 10}

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An equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is \(7x > -22.\)

To find an equivalent inequality, we can start by simplifying the given inequality and then make adjustments to preserve its truth.

Let's simplify the given inequality step by step:

\(-4(x + 7) < 3(x - 2)\)

Expanding both sides:

\(-4x - 28 < 3x - 6\)

Grouping like terms:

\(-4x - 3x < -6 + 28\)

Simplifying:

\(-7x < 22\)

To maintain the direction of the inequality, we need to multiply both sides by -1.

However, when we multiply or divide both sides of an inequality by a negative number, the direction of the inequality is reversed.

Therefore, we need to flip the inequality sign:

\(7x > -22\)

Hence, an equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is

\(7x > -22.\)

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The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.

The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.

Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:

y - 3 = 1(x - (-1))

Simplifying:

y - 3 = x + 1

Now, we can rewrite the equation in the standard form:

y = x + 4

Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

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Central angle ∠C and circumscribed angle ∠S intersect the same arc, so the angles are supplementary. Central angle ∠C and inscribed angle ∠R intersect the same arc, so m∠R is half the measure of central angle ∠C.

Central angles are angles that have their vertex at the center of the circle. Circumscribed angles are angles that are formed by two tangents to a circle that intersect at a point outside the circle. Inscribed angles are angles that are formed by two chords in a circle that intersect at a point inside the circle.

The measures of central angles and circumscribed angles are always supplementary, which means that their measures add up to 180 degrees. Inscribed angles, on the other hand, are always half the measure of the central angle that intersects the same arc.

In the diagram, central angle ∠C and circumscribed angle ∠S intersect the same arc, so they are supplementary. Central angle ∠C and inscribed angle ∠R also intersect the same arc, so m∠R is half the measure of central angle ∠C.

Therefore, the correct answers are supplementary and half.

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Answer:4:1

Step-by-step explanation: