13/8 x 11=
3/5 x 5/7=
2/5 x 5/6=​

52 tiles are there in the 25th figure in this pattern.

A pattern is described as a series of recurring symbols, figures, or numbers. Any form of event or object can be related to a pattern.

A pattern has a rule that specifies which items fall within the pattern's umbrella and which do not.

A pattern in mathematics is a recurring arrangement of numbers, forms, colors, and other elements.

Any kind of event or object can be connected to the Pattern.

A pattern is referred to as a rule or a way in which a group of numbers is related to one another.

Sometimes a pattern is also referred to as a sequence.

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Answer:

Step-by-step explanation:

it should be sth like green graph

The volume obtained by rotating region R about the line y = -2 and x = 3 is 0, indicating no difference in volume between the two rotations.

To find the volume of the object obtained by rotating region R about the line y = -2, we can use the method of cylindrical shells.

Rotating about the line y = -2:

The height of each shell is given by the difference between the two functions: f(x) = 3x and g(x) = -2x^2 + 6x + 2. The radius of each shell is the x-coordinate of the point at which the functions intersect.

To find the points of intersection, we set the two functions equal to each other and solve for x:

3x = -2x^2 + 6x + 2

Simplifying and rearranging:

2x^2 - 3x + 2 = 0

Using the quadratic formula, we find two solutions for x:

x = (-(-3) ± √((-3)^2 - 4(2)(2))) / (2(2))

x = (3 ± √(9 - 16)) / 4

x = (3 ± √(-7)) / 4

Since the equation has complex roots, it means there is no intersection point between the two functions within the given range.

Therefore, the volume obtained by rotating region R about the line y = -2 is 0.

Rotating about the line x = 3:

In this case, we need to find the integral of the difference of the two functions squared, from the y-coordinate where the two functions intersect to the highest y-coordinate of the region.

To find the points of intersection, we set the two functions equal to each other and solve for x:

3x = -2x^2 + 6x + 2

Simplifying and rearranging:

2x^2 - 3x + 2 = 0

Using the quadratic formula, we find two solutions for x:

x = (-(-3) ± √((-3)^2 - 4(2)(2))) / (2(2))

x = (3 ± √(9 - 16)) / 4

x = (3 ± √(-7)) / 4

Since the equation has complex roots, it means there is no intersection point between the two functions within the given range.

Therefore, the volume obtained by rotating region R about the line x = 3 is also 0.

In both cases, the volume obtained is 0, so there is no difference in volume between rotating about the line y = -2 and rotating about the line x = 3.

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Answer:

z = -70

Explanation:

-12.2z-13.4z=1792

-25.6z=1792

Divide both sides by (-25.6)

z = -70

Step 1:

Write the two equations

x - y = 2 Equation 1

x + 4y = -3 Equation 2

Step 2:

From equation 1 , make x subject of the formula and substitute in equation 2.

Step 3:

Substitute x = 2 + y in equation 2

Step 4

Substitute y = -1 in x = 2 + y to find x

x = 2 - 1

x = 1

Final answer

x = 1 , y = -1

Equation: x - y = 2x + 4y = -3 x - y = -3 Equations 1st and 2 (x - y = -3) 2 equations 1 2x - 2y = -6 equation 1 -(2x + 4y = -3) equation 2 are obtained.

In the second equation, 2x - 2y = -6, 2x -4y = 3, 6y = 3, and 6y = -3/-6 = 1/2.

2x + 4y = -3 , 2x + 4×1/2 = -3

2x +2 = -3 , 2x = -3 -2 , 2x = -5 ,x = -5/2

The last solution is y = 1/2 and x = -5/2.

What you want altered should go here. After that, click the button below. It's that simple!

Answer:

Step-by-step explanation:

Teams of 5 from the total of 15 students.

Combination of 5 is:

An MRP (Material Requirements Planning) system is a computer-based inventory management system used to plan and control the flow of materials needed for production. The answer is: E. All are inputs.

It takes into account the master production schedule, bill of materials, and inventory records to generate planned-order schedules. Therefore, all of the options listed are inputs in an MRP system.

The Master Production Schedule (MPS) specifies the quantities of finished goods that will be produced within a certain period of time, based on sales forecasts, customer orders, and other factors.

The Bill of Materials (BOM) lists all of the raw materials, components, and sub-assemblies needed to manufacture each finished product.

Inventory Records provide information about the current stock levels of raw materials, work-in-progress, and finished goods.

Planned-order schedules are generated by the MRP system to determine when and how much of each raw material and component should be ordered to support the production schedule.

Therefore, all of these inputs are essential to an MRP system in order to ensure that the right materials are available at the right time and in the right quantities to support production.

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Let minutes be x

Equation in slope intercept form

\(\\ \tt\longmapsto y=mx+b=0.25x+12.95\)

Now for second part

\(\\ \tt\longmapsto 0.25x+12.95=21.2\)

\(\\ \tt\longmapsto 0.25x=8.25\)

\(\\ \tt\longmapsto x=33min\)

Answer:

I think total area=36

Step-by-step explanation:

By finding ar. of all 4 triangles separately by the formula 1/2×base×height

2x-3=7

The answer would be 5.

Answer:

x=5

Step-by-step explanation:

2x−3=7

Add 3 to both sides.

2x=7+3

Add 7 and 3 to get 10.

2x=10

Divide both sides by 2.

x=10/2

Divide 10 by 2 to get 5.

x=5

Answer:

Volume = 261.8 cm³

Surface area = 254.2 cm²

Step-by-step explanation:

To calculate the volume of the cone, we have to use the following formula:

\(\boxed{V = \frac{1}{3} \pi r^2 h}\),

where:

V ⇒ volume

r ⇒ radius = 5 cm

h ⇒ height = 10 cm

Using the above formula and the provided measures, we get:

V = \(\frac{1}{3}\) × π × (5)² × 10

    = \(\frac{1}{3}\) × π × 25 × 10

      = 261.8 cm³

In order to calculate the surface area of the cone, we have to use the following formula:

\(\boxed{SA = \pi r^2 + \pi r l}\)

where:

SA ⇒ surface area

r ⇒ radius = 5 cm

l ⇒ slant length = \(\sqrt{r^2+h^2}\) = \(\sqrt{5^2+10^2}\) = 5√5 cm

Using the formula,

SA = π × (5)² + π × 5 × 5√5

     = π × 25 + π × 25√5

     = 254.2 cm²

The number in parenthesis is the x value

F(2) means x equals 2

The letter would be A

To estimate the number of new users that would be added during time period 7, we can use the Bass diffusion model, which is commonly used to model the adoption of new products or technologies.

The Bass diffusion model is given by the formula:

\(\[N(t) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot t)}}}\]\)

where:

- N(t) represents the cumulative number of adopters at time \(t\).

- p is the innovation parameter, representing the coefficient of innovation.

- q is the imitation parameter, representing the coefficient of imitation.

- e is the base of the natural logarithm.

Given a population size of 67 million, an innovation parameter of 0.005, and an imitation parameter of 0.84 for Color TV, we can substitute these values into the Bass diffusion model and calculate the number of new users added during time period 7.

\(\[N(7) - N(6) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 7)}}} - \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 6)}}}\]\)

Substituting the given values into the equation:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

Evaluating the expression will give us the estimated number of new users added during time period 7.

In LaTeX, the solution can be represented as:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

After evaluating this expression, you will obtain the estimated number of new users added during time period 7.

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Answer:

Sorry but I can't read the image

Step-by-step explanation:

Answer:

36 in over 2

Step-by-step explanation:

To find the percent of Container A that is full after pumping water into Container B, we need to compare the volumes of the two containers. Container A Percent is 108.0%.

The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

For Container A:

Radius (r₁) = 6 feet

Height (h₁) = 9 feet

Volume (V₁) = π(6²)(9) = 324π cubic feet

For Container B:

Radius (r₂) = 5 feet

Height (h₂) = 12 feet

Volume (V₂) = π(5²)(12) = 300π cubic feet

Since the water from Container A is pumped into Container B until it is completely full, the volume of water transferred is V₁.

To calculate the percent of Container A that is full after pumping, we can use the following formula:

Percent Full = (V₁ / V₂) * 100

Substituting the values, we get:

Percent Full = (324π / 300π) * 100

Percent Full ≈ 108%

Rounded to the nearest tenth, the percent of Container A that is full after the pumping is complete is approximately 108.0%.

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a. Using the notations R and B to denote the red balls and black balls, respectively, l all the elements of the sample space S is S = {RR, RB, BR, BB}

b. The elements of event A are RB and BR.

c. The probability of event A (drawing one red ball and one black ball) is 1/2.

(a) The sample space S consists of all possible outcomes of drawing two balls with replacement from the urn. Since there are only two balls (one red and one black), the possible outcomes are as follows:

S = {RR, RB, BR, BB}

(b) The event A represents the person drawing one red ball and one black ball. Therefore, the elements of event A are RB and BR.

(c) To calculate the probability P(A), we need to determine the number of favorable outcomes (outcomes in event A) and divide it by the total number of possible outcomes (elements in the sample space S).

Number of favorable outcomes = 2 (RB, BR)

Total number of possible outcomes = 4 (RR, RB, BR, BB)

P(A) = Number of favorable outcomes / Total number of possible outcomes

P(A) = 2/4

P(A) = 1/2

Therefore, the probability of event A (drawing one red ball and one black ball) is 1/2.

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The exponential function that represents the table is \(y =2\times 2^x\)

An exponential function is any function that has its constant raised to the power of an argument.

An exponential function is represented as:

\(y = ab^x\)

Where:

From the table we have the following ordered pair

(x,y) = {(0,2) (1,8)}

So, we have:

\(y = ab^x\)

\(2 = a \times b^0\)

\(a = 2\)

Also, we have:

\(y = ab^x\)

\(8 = 2 \times b^1\)

\(8 = 2 \times b\)

Divide both sides by 2

\(b =4\)

So, we have:

\(y = ab^x\)

\(y =2\times 2^x\)

Hence, the exponential function is:

\(y =2\times 2^x\)

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The standard matrix of T is:

[1 0]

[-10 1]

To find the standard matrix of the linear transformation T, we need to determine how T maps the standard basis vectors in R2.

Given that T is a vertical shear transformation that maps e1 into e1 - 10e2 and leaves e2 unchanged, we can express this transformation as:

T(e1) = e1 - 10e2

T(e2) = e2

To form the standard matrix, we represent these mappings in terms of the standard basis vectors e1 and e2:

T(e1) = 1 * e1 + 0 * e2 - 10 * e2

T(e2) = 0 * e1 + 1 * e2

Thus, the standard matrix of T is:

[1 0]

[-10 1]

Each entry in the matrix corresponds to the coefficient of the respective basis vector. In this case, the first column represents the coefficients of e1, and the second column represents the coefficients of e2.

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Answer:

a) 6x + 8 = 32

Step-by-step explanation:

Forming algebraic equation:

Let the number be 'x'.

      6 times x = 6 * x = 6x

6x is added to 8: 6x + 8

         6x + 8 = 32

Answer:

6). Option (B)

7). Option (C)

Step-by-step explanation:

6) Property of a triangle :

  "Sum of all interior angles is 180°"

  (x + 2)° + (2x + 2)° + (2x - 1)° = 180°

  5x + 3 = 180°

  5x = 177°

  x = \(\frac{177}{5}=35.4\)

  (x + 2)° = 37.4°

  (2x - 1)° = 69.8°

  (2x + 2)° = 72.8°

  Option (B) is the answer.

7). (4x + 2)° + (2x + 1)° + (x - 1)° = 180°

  7x + 2 = 180°

  7x = 178°

  x = \(\frac{178}{7}= 25.43\)

  (4x + 2)° = 103.7

  (2x + 1)° = 51.9°

  (x - 1)° = 24.4°

  Option (C) will be the answer.

The formula given is Q=cm(t2-t1).

The problem requires that we solve this formula for t2. To achieve this, we will use two procedural steps. These steps are:

Step 1: Isolate (t2 - t1)

To isolate (t2 - t1), we begin by adding t1 to both sides of the equation.

This yields: Q + t1cm = (t2 - t1)cm

Step 2: Divide both sides by cm

To solve for t2, we need to remove the coefficient of (t2 - t1). This is achieved by dividing both sides by cm, which gives: t2 - t1 = Qcm + t1cm

Adding t1 to both sides, we have:

t2 = Qcm + t1

t2 = t1 + Qcm

Therefore, the formula for t2 is t2 = t1 + Qcm.

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The acceleration of the truck when it has a mass of 5000 kg and the truck driver presses on the brakes is 1.2m/s².

The rate of change of an object's velocity with respect to time is defined as acceleration. Vector quantities are accelerations.

The orientation of an object's acceleration is determined by the orientation of the net force acting on that object's acceleration, which is the rate at which velocity changes over time in terms of both speed and direction. A point or object moving in a straight line is accelerated if it accelerates or decelerates.

Acceleration will be:

= Force / mass

= 6000 / 5000

= 1.2 m/s²

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Answer:

Terrorism is the use of illegal violence, actual or threatened, to intimidate or pressure a people or government.

Step-by-step explanation:

Answer:

92857142857/100000000000

Step-by-step explanation:

There are 11 numbers so add 11 zeros

The value of the number 0.92857142857 as fraction is given by the equation A = 92857142857 / 100000000000

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the fraction be represented as A

Now , the equation will be

Let the number be represented as n

The value of n = 0.92857142857

Substituting the values in the equation , we get

Rewrite the decimal number as a fraction with 1 in the denominator

So , A = 0.92857142857 / 1

Multiply to remove 11 decimal places. Here, you multiply top and bottom by 10¹¹ = 100000000000

On simplifying the equation , we get

A = 92857142857 / 100000000000

Hence , the fraction is 92857142857 / 100000000000

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Answer:

1

Step-by-step explanation:

6+6=12

12/12=1

Step-by-step explanation:

= 6+ 6÷12

= 6+ 1/2

= 13/2

hope this will be helpful to you.

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As per the median, the set of data that fulfilling Marjane's requirement is 24, 25, 25, 25, 26, 26 (option c).

In statistics, data is a collection of numbers or values that represent a particular phenomenon. One way to measure central tendency, or the typical or representative value of the data, is through the median and the mode.

The median is the middle value when the data is arranged in numerical order, and the mode is the value that appears most frequently.

The third set of data is 24, 25, 25, 25, 26, 26.

The median is the middle value, which is also (25+25)/2 = 25.

The mode is the value that appears most frequently, which is 25.

Therefore, the mode and median are the same, fulfilling Marjane's requirement.

Therefore, the correct option is (c).

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Answer:

75%

Step-by-step explanation:

let the unknown percent be x.

\(\frac{x}{100}*96=72\\\frac{96x}{100}=72\\ 96x=72*100\\96x=7200\\\frac{96x}{96}=\frac{7200}{96}\\ x=75%\)

Answer:

Step-by-step explanation:

x/100 * 96 = 72

96x = 7200

x = 75