question3: choose one answer. how many different ways can six letters of the word triangle be arranged? 1) 20160 2) 20170 3) 20180

Answer:

Step-by-step explanation:

First table:(left)

(1, 15) (2, 30)

(30 - 15)/(2 - 1) = 15/1 = 15

y - 15 = 15(x - 1)

y - 15 = 15x - 15

y = 15x

Second table:(right)

(0, 10)  (1, 25)

(25 - 10)/(1 - 0)= 15/1= 15

y - 10 = 15(x - 0)

y - 10 = 15x - 0

y = 15x + 10

Answer:

Step-by-step explanation:

30-60-90 triangles

30-60-90 triangles are right triangles whose acute angles are

3

0

∘

30

∘

30, degrees and

6

0

∘

60

∘

60, degrees. The sides in such triangles have special proportions:

A thirty-sixty-ninety triangle. The length of the shorter leg of the triangle is one half h units. The length of the longer leg of the triangle is square root three over two times h. The length of the hypotenuse of the triangle is h units.

A thirty-sixty-ninety triangle. The length of the shorter leg of the triangle is one half h units. The length of the longer leg of the triangle is square root three over two times h. The length of the hypotenuse of the triangle is h units.

[How can we find these ratios using the Pythagorean theorem?]

Want to learn more about 30-60-90 triangles? Check out this video.

45-45-90 triangles

45-45-90 triangles are right triangles whose acute angles are both

4

5

∘

45

∘

45, degrees. This makes them isosceles triangles, and their sides have special proportions:

A forty-five-forty-five-ninety triangle. The length of both legs are k units. The length of the hypotenuse of the triangle is square root of two times k units.

A forty-five-forty-five-ninety triangle. The length of both legs are k units. The length of the hypotenuse of the triangle is square root of two times k units.

[How can we find these ratios using the Pythagorean theorem?]

The special properties of both of these special right triangles are a result of the Pythagorean theorem.

so A is right. i hope

Devin because the second side length is the square root of 3 times the measure of the smallest side length, and the largest side is twice the smallest side. Glenn's claim is incorrect because his triangle's side lengths do not match the 30-60-90 ratio, unlike Devin's triangle, which satisfies the conditions of a 30-60-90 triangle.

A 30-60-90 triangle has specific side length ratios: the sides opposite the angles measuring 30 degrees, 60 degrees, and 90 degrees are in the ratio 1:√3:2. Let's analyze the claims made by Devin and Glenn:

Devin's claim:

Devin states that a triangle with side lengths of 6, 6√3, and 12 is a 30-60-90 triangle. To verify this, we need to check if the side lengths satisfy the 30-60-90 ratio. If we divide the longest side by 2, we get 12/2 = 6, which matches the length of the shortest side. Also, the middle side (6√3) is indeed √3 times the length of the shortest side (6). Thus, Devin's claim is correct, and the triangle with side lengths 6, 6√3, and 12 is a 30-60-90 triangle.

Glenn's claim:

Glenn states that a triangle with side lengths 7, 7√3, and 49 is a 30-60-90 triangle. Again, we need to check if the side lengths satisfy the 30-60-90 ratio. However, upon examination, we find that dividing the longest side by 2 (49/2) does not result in the length of the shortest side (7). Also, the middle side (7√3) is not √3 times the length of the shortest side (7). Therefore, Glenn's claim is incorrect, and the triangle with side lengths 7, 7√3, and 49 is not a 30-60-90 triangle.

Hence the correct option is (c).

To know more about triangle here

https://brainly.com/question/8587906

#SPJ2

(a)The optimal order quantity is  4609 units.

(b)The time between orders is  1.98 months.

To determine the optimal order quantity and the approximate time between orders, the Economic Order Quantity (EOQ) model. The EOQ model minimizes the total cost of inventory by balancing ordering costs and carrying costs.

Optimal Order Quantity:

The formula for the EOQ is given by:

EOQ = √[(2DS) / H]

Where:

D = Annual demand

S = Cost per order

H = Holding cost per unit per year

calculate the annual demand (D) using the 2020

sales numbers provided:

D = 651 + 808 + 514 + 174 + 435 + 426 + 687 + 582 + 662 + 1551 + 1295 + 1774

= 9559 units

To calculate the cost per order (S) and the holding cost per unit per year (H).

The cost per order (S) is given as $500.

The holding cost per unit per year (H)  calculated as follows:

H = Carrying cost percentage × Unit value

= 0.30 × $3

= $0.90

substitute these values into the EOQ formula:

EOQ = √[(2 × 9559 × $500) / $0.90]

= √[19118000 / $0.90]

≈ √21242222.22

≈ 4608.71

Approximate Time Between Orders:

To calculate the approximate time between orders, we'll divide the total number of working days in a year by the number of orders per year.

Assuming 360 days in a year and a lead time of 1 week (7 days) for shipping, we have:

Working days in a year = 360 - 7 = 353 days

Approximate time between orders = Working days in a year / Number of orders per year

= 353 / (9559 / 4609)

= 0.165 years

Converting this time to months:

Approximate time between orders (months) = 0.165 × 12

= 1.98 months

To know more about quantity here

https://brainly.com/question/14581760

#SPJ4

Answer:

It would be B

Step-by-step explanation:

You can check each question by subsituting the x and y with points on the graph.

Example: (1,3)

y = 3x

3 = 1 x 3

3 = 3

Answer:

B

Step-by-step explanation:

We are given a proportional relationship and we want to find the equation that models it.

Since the relationship is proportional, we know that it must go through the origin point (0, 0).

Also, we can see from the graph that it passes through the point (1, 3).

We can now find the constant of proportionality or the slope using the slope formula:

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

Let (0, 0) be (x₁, y₁) and let (1, 3) be (x₂, y₂). Hence:

\(\displaystyle m=\frac{3-0}{1-0}=\frac{3}{1} = 3\)

Our constant of proportionality is 3.

A proportional relationship is given by:

\(y=kx\)

Where k is the constant of proportionality.

So:

\(y=3x\)

Our answer is B.

Answer:

C.) The amount of money she saved before attending lessons.

The nth term of the following quadratic sequence -1, 4, 15, 32, 55 is 119.

Any number sequence in which the second difference between any two successive terms is constant is referred to as a quadratic sequence. Think about the example below: 1;2;4;7;11;… We observe that all of the second differences equal one.

When the nth term rule includes a n2, the sequence is said to be quadratic (remember, a term is the word for a number in a sequence). A quadratic sequence's terms do not share a difference, in contrast to a linear sequence. The nth term of an arithmetic series can be calculated using our understanding of finding the nth term to be 2 n 2n 2n.

Let us assume that n=6,

aₙ=(n+1)(3n-1)

a₆=(6+1)(3(6)-1)

a₆=7(17)

a₆=119

Therefore, the nth term of the following quadratic sequence -1, 4, 15, 32, 55 is 119.

To know more about quadratic sequence, visit:

https://brainly.com/question/22412845

#SPJ1

Answer:

the answer is positive.

Step-by-step explanation:

12(-3)(-2)

the 2 negatives cancel out, so you get a positive 6

12(6)

72

positive 72

hope this helped!

mark me brainliest :D

Answer:

trapezoid

Step-by-step explanation:

The Business Essentials Simulation: Coffee Shop Inc. game requires a strategy to excel. The answer to the question "Describe your overall strategies. Your strategy can fall into one of the following strategies. a. low-cost b. differentiation c. best-cost d. a blue ocean strategy" is as follows.

Low-cost is the most effective strategy to adopt. It is also the most commonly used strategy. Because, by adopting this strategy, you can produce high-quality products at low prices, and because of this, you can attract more clients and produce more sales. Low-cost has several benefits, including improved earnings, client retention, and product awareness. Differentiation is another approach that involves offering unique goods or services to attract consumers.

In other words, they are offering something that no one else is offering. It includes being a trailblazer in terms of customer service, providing products that are superior in quality and effectiveness, and having a distinctive appearance. As a result of these distinct attributes, differentiation is frequently accompanied by a premium cost.Best-cost is another strategy that involves identifying and then balancing the customer's wants for value and the company's wants for profit.

To know more about strategy visit :

https://brainly.com/question/32695478

#SPJ11

Answer:

distribute the negative to everything in the parenthesis

Step-by-step explanation:

The surface area and the volume of each solid are listed below:

Case 23

A = 216 + 153√3 cm² = 481 cm², V = 324√3 cm³ = 561.18 cm³

Case 13

A = 575π m² = 1806.42 m², V = 4000π / 3 m³ = 4188.79  m³

In this problem we must determine the surface area and the volume of each of the two solids, the following area and volume formulas are listed below:

Triangles

A = 0.5 · w · h

Rectangle

A = w · h

Circle

A = π · r²

Surface of a hemisphere

A = 2π · r²

Surface of the inclined section of a cone

A = π · r · l

Lateral surface of a cylinder

A = 2π · r · l

Volume of a prism

V = A' · l

Volume of a hemisphere

V = (2π / 3) · r³

Volume of a pyramid

V = (1 / 3) · A' · l

Where:

Now we proceed to determine the surface area and the volume of each solid:

Case 23

Surface area

A = (9 cm) · (8 cm) + (9√3 cm) · (8 cm) + (18 cm) · (8 cm) + (9 cm) · (9√3 cm)

A = 72 cm² + 72√3 cm² + 144 cm² + 81√3 cm²

A = 216 + 153√3 cm²

A = 481 cm²

V = 0.5 · (9 cm) · (9√3 cm) · (8 cm)

V = 324√3 cm³

V = 561.18 cm³

Case 13

Surface area

A = 2π · (5 m)² + 2π · (5 m) · (45 m) + π · (5 m) · (15 m)

A = 575π m²

A = 1806.42 m²

Volume

V = (2π / 3) · (5 m)³ + π · (5 m)² · (45 m) + (π / 3) · (5 m)² · (15 m)

V = 4000π / 3 m³

V = 4188.79  m³

To learn more on volumes of solids: https://brainly.com/question/17956344

#SPJ1

Answer: a = 19

Step-by-step explanation:

Given

7 (8 + a) = 189

Divide 7 on both sides

7 (8 + a) / 7 = 189 / 7

8 + a = 27

Subtract 8 on both sides

8 + a - 8 = 27 - 8

a = 19

Hope this helps!! :)

Please let me know if you have any questions

Answer:

9

Step-by-step explanation:

In order to find what needs to be added, you can subtract the number your already have. In this case, subtract twelve from twenty-one.

21 - 12 = 9

To check, we can add nine to 12 and see if it works.

12 + 9 = 21 is correct.

So 9 is our answer.

Brainliest please?  

The number that makes the sum of 21 when added with 12 is 9. Found solving the linear equation x + 12 = 21. Hence, option B is the right choice.

Linear equations are relations between two expressions having their degree less than or equal to 1.

In the question, we are given that the sum of a number and 12 is 21.

We are asked to find the number.

We assume the number to be x.

∴ The sum of a number and 12 is expressed using the expression: x + 12

This expression is equal to 21, which can be represented by the linear equation: x + 12 = 21.

To find x, we solve this linear equation using the given steps:

Equation: x + 12 = 21

Subtract 12 from both sides of the equation: x + 12 - 12 = 21 - 12

∴ x = 9.

∴ The number that makes the sum of 21 when added with 12 is 9. Found solving the linear equation x + 12 = 21. Hence, option B is the right choice.

Learn more about linear equations at

https://brainly.com/question/1884491

#SPJ2

Let x₁ and x₂ be two independent random variabIes, each with a mean of 10 and a variance of 5.y has a mean of 203 and a variance of 85.

A function, in mathematics, is a reIationship between a set of possibIe inputs and an equaIIy IikeIy set of outputs, where each input is associated to exactIy one outcome. Functions are commonIy represented as equations or graphs, and they are used to modeI many reaI-worId processes in domains such as physics, engineering, and economics.

Function types incIude Iinear, quadratic, trigonometric, and exponentiaI functions, among others. CaIcuIus, a fieId of mathematics that investigates how quantities change over time or space, heaviIy reIies on functions.

given

The foIIowing is the MacIaurin series for the function g(x) = (1+x)e(-x):

g(x) = ∑[n=0 to ∞] ((-1)ⁿ*xⁿ) / n!

We may simpIify and pIug in the first few vaIues of n to determine the first four nonzero terms of this series:

n = 0: ((-1)⁰*x⁰) / 0! = 1

n = 1: ((-1)¹*x¹) / 1! = -x

n = 2: ((-1)²*x²) / 2! = x²/2

n = 3: ((-1)³*x³) / 3! = -x³/6

The MacIaurin series for g(x) therefore has the foIIowing first four nonzero terms:

1 - x + x²/2 - x³/6

Let x₁ and x₂ be two independent random variabIes, each with a mean of 10 and a variance of 5.  y has a mean of 203 and a variance of 85.

To know more about function visit:

brainly.com/question/28193995

#SPJ1

Answer:

5200 - 2677 - 543 = 1980

1980 + 3220 = 5200

We have 5200 total and we are subtracting 2677 and 543. 2677 + 543 = 3220. So 5200 - 3220 is 1980 just like 5200 - 2677 - 543. And we know to check with adding by doing 1980 + the ammoument we subtracted which is 3220. SO, 1980 + 3220 = 5200.

Answer:

The reciprocal comes in the end of the problem.

Step-by-step explanation:

The reciprocal is the flipped number which is the opposite of another. It is commonly found at the end of a problem.

2/1 > 1/2

Answer:

A

Step-by-step explanation:

Use POE, none of the answer makes any sense

Answer: The correct answer would be A

Step-by-step explanation:

This question asks us what equation could represent the scatter plot.  While we may not be looking for an exact line of fit we want one that can best represent the data that we have.  While I would highly recommend graphing each equation as it would give you a much greater understanding of the material you can also piece together a correct answer just by looking at the equations.  First of all, by looking at the graph we can tell that the slope is negative because as we progress along the x axis the values on the y axis get lower and lower meaning that we have a downward sloping line.  This immediately narrows out D because we can see that there is no - sign before the 9x which represents the slope.  We can also narrow out B right away as the slope is too extreme for our scenario.  A slope of -3 means that it would have to be a lot more vertical than we see represented in this scatter plot.  -3 means that the line would have to go down 3 units for every 1 unit it horizontally moves if that makes sense.  Now we are left with two possible answer choices, A and C.  We can now look at the y intercept point of these equations to determine the best answer.  The y intercept is the point at which the line crosses the y axis.  C has a y intercept of 1 and we see the scatter plot points congregate much higher on the y axis than 1 so that rules out that answer leaving us with A!  Just to double check our answer we know a slope of -3/4x seems reasonable based on the previous information and we can certainly see that a y intercept of 10 would make sense!  I hope this has been of use to you and please do not hesitate if you have anything you would like me to elaborate on :)  Have a wonderful rest of your day!

If the value of a is 4 the equation will become true.

Two or more expressions with an Equal sign is called as Equation.

Let the number be a.

2× a = 8 ...(1)

We need to find the value of a such that the above equation is true.

Divide both sides of equation (1) by 2 .

a = 8/2

a = 4

Hence, if the value of a is 4 the equation will become true.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

Answer:

slope= 1/2

y intercept=6

equation y=1/2x+6

Answer:

y=1/2x+6 is the slope formula, so 1/2 is the slope

y=mx+b is the slope formula

The y-intercept is (0,6)

Answer:

B; The length or width of the actual item

Step-by-step explanation:

In cases like this, to find the scale factor, we will need to make a comparison between the length or width of the scale model and the length or width of the actual item

By having a further information about the length or width of the actual item, then we can actually make a comparison by dividing the length or width of both cases by each other

This means that we compare the length of the scale model and the length of the actual item

Then the width of the scale model and the width of the actual item

Answer:

x = 2

Step-by-step explanation:

-10x + 9 = -11

-10x = -20

x = 2

Answer:

x=2

Step-by-step explanation:

−10x+9=−11

−10x+9−9=−11−9

−10x=−20

−10x /−10 = −20 /−10

x=2

Answer:

x=9

Step-by-step explanation:

You want to start by taking the problem step by step.

First subtract 6 from 51. Which will get you to 45. Then think what times what equals 45, or just divide 45 by 5. This works for any problem like this! Hope this helped!

Answer:

\( \bf \huge9\)

Step-by-step explanation:

⟼ 6 + 5x = 51

step 1 : Simplify both sides of the equation.

⟼ 5x + 6 = 51

step 2 : Subtract 6 from both sides.

⟼ 5x + 6 - 6 = 51 - 6

⟼ 5x = 45

step 3 : Divide both sides by 5

⟼ 5x / 5 = 45 / 5

⟼ x = 45 / 5

⟼ x = 9.

∴ x = 9.

lets take x = 9.

⟼ 6 + 5 (9) = 51

⟼ 6 + 5 × 9 = 51

⟼ 6 + 45 = 51

⟼ 51 = 51.

Answer:

C is not true

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x₁ ,y₁) = (0 , 5)   & (x₂, y₂) = (-4 , 6)

\(Midpoint = (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})\\\\\)

               \(= (\frac{0 - 4}{2} , \frac{5+6}{2}) \\\\= (\frac{-4}{2} , \frac{11}{2})\\\\=(-2 , 5.5)\)

The mid-point is the average of the respective values for x and y.

So, the formula for the mid-point would be: \((\frac{x_{2} + x_{1}}{2}, \frac{y_{2} + y_{1}}{2})\)

So for your problem this would be:\((\frac{-4}{2}, \frac{11}{2})\)

So the final answer would be: \((-2, 5.5)\)

The conversion result of decimal numbers to hexadecimal representations of 2's complement numbers are the following

a) 100

b) 6F

c)75BCD15

d)FFFFFF04

A decimal number can be represent the two parts one is whole and a fractional part separated by a decimal point. The decimal point is represented by dot inbetween the whole and fractional part. Hexadecimal is one of number system with base 16. That means 16 possible digits used to represent numbers. Steps to convert a decimal number to hexadecimal number :

Representations of 2's complement numbers :

a) decimal number = 256

using above rules, it's hexadecimal representations of 2's complement numbers is 100.

b) decimal number = 111

it's hexadecimal representations of 2's complement numbers is 6F.

c) decimal number = 123,456,789

it's hexadecimal representations of 2's complement numbers is 75BCD15.

d) decimal number = -44

it's hexadecimal representations of 2's complement numbers is FFFFFF04.

Hence, required values are obtained.

For more information about hexadecimal numbers , visit :

https://brainly.com/question/29759015

#SPJ4

Answer:

hope it help ..........you

Each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.Option B,E,F.

Each chart has the following three components:

1. B. A center line representing the average: This line is drawn to show the average value or mean of the data being analyzed. It provides a reference point to compare the data points above and below it.

2. E. An upper line representing the maximum acceptable variation upwards: This line is drawn to indicate the upper limit of acceptable variation or deviation from the average. It helps identify if the data points exceed the acceptable range.

3. F. A lower line representing the maximum acceptable variation downwards: This line is drawn to indicate the lower limit of acceptable variation or deviation from the average. It helps identify if the data points fall below the acceptable range.

These three components together create a control chart, which is a graphical representation used in statistical process control. Control charts help monitor and analyze data over time, allowing organizations to identify trends, detect abnormalities, and make data-driven decisions to improve processes and quality.

In summary, each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.

Know more about control chart here,

https://brainly.com/question/32392066

#SPJ11

Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)