The length of the bae of an iocele triangle i x. The length of a leg i 2x-3. The perimeter of the triangle i 44. Find x

We need to solve this question using Arithmetic Progression concept. Yes the given sequence is Arithmetic and value of d is 3.

A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms. One arithmetic progression with a common difference of 2 is the sequence 5, 7, 9, 11, 13, 15,...

The n-th term of the sequence (a n) is provided by: If the first term of an arithmetic progression is a and the common difference between each succeeding component is

{a {n}=a+(n-1)d},

If the AP contains m terms, then a m denotes the final term, which is provided by:

{a {m}=a+(m-1)d}.

The term "finite arithmetic progression" or "arithmetic progression" refers to a finite segment of an arithmetic progression. An arithmetic series is the total of a finite arithmetic progression.

The given sequence is -3,0,3,6,....

 We know that an=a + (n-1)d where d is the common difference

  ⇒ 0= -3 + d

∴ d=3

So hence proved that the given sequence is arithmetic.

We need to solve this question using Arithmetic Progression concept. Yes the given sequence is Arithmetic and value of d is 3.

To refer more about Arithmetic Progression , visit:

https://brainly.com/question/6561461

#SPJ1

Answer:

701.25 feet squared

Step-by-step explanation:

when you calculate the total area of the circle it comes to 1963.5ft

360 degrees divided by 130 degrees is 2.8 which means you need to divide the total area by 2.8 and the final answer comes to 701.25 feet squared

Answer:

Poster’s perimeter = 150 in

Step-by-step explanation:

Given:

Width of poster = 2.5 ft = 2.5 × 12 = 30 in

Find:

Poster’s perimeter.

Computation:

Height of poster = [30×6]/4

Height of poster = 45 in

Poster’s perimeter = 2 [Width of poster + Height of poster]

Poster’s perimeter = 2 [30+45]

Poster’s perimeter = 2 [75]

Poster’s perimeter = 150 in

Using Double-Angle Formulas, 2 sin(16°) cos(16°)= sin(32°), 2 sin(40°) cos(40°) = sin(80°)., tan(0) = 0.

To simplify the expressions using Double-Angle Formulas and solve the equation.

(a) 2 sin(16°) cos(16°)

Using the Double-Angle Formula for sine: sin(2x) = 2sin(x)cos(x), we can rewrite the expression as:

sin(2 * 16°) = sin(32°)

So, the simplified expression is sin(32°).

(b) 2 sin(40°) cos(40°)

Using the same Double-Angle Formula for sine: sin(2x) = 2sin(x)cos(x), we can rewrite the expression as:

sin(2 * 40°) = sin(80°)

So, the simplified expression is sin(80°).

Now, let's solve the given equation:

tan(0) = 0

There is no need to provide a comma-separated list of answers because tan(0) is always equal to 0.

To know more about Double-Angle formula refer here:

https://brainly.com/question/30402422

#SPJ11

The solution of the linear equations will be (-2, 1).

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equations are given below.

y = -(5/2)x - 4

y = (1/2)x + 2

The above equations are the equation of the line.

The lines are drawn on the graph. And the lines intersect at (-2, 1).

Thus, the solution of the linear equations will be (-2, 1).

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ1

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

The solution to the equation 2n + 5 = 6( n² - 5 ) is n = ( 1 - √(211 )) / 6 and n = ( 1 + √(211 )) / 6

Given the quadratic equation in the question;

2n + 5 = 6( n² - 5 )

First we simplify the given equation;

2n + 5 = 6( n² - 5 )

2n + 5 = 6n² - 30

6n² - 2n - 5 - 30 = 0

6n² - 2n - 35 = 0

To solve for n, we use the quadratic formula.

n = (-b±√(b² - 4ac)) / (2a)

Compare 6n² - 2n - 35 = 0 to the quadratic equation in its standard form an² + bn + c = 0.

Plug the values into the quadratic formula

n = (-b±√(b² - 4ac)) / (2a)

n = ( -(-2) ±√( (-2)² - 4 × 6 × -35 )) / (2 × 6 ))

n = ( 2 ±√( 4 + 840 )) / ( 12 )

n = ( 2 ±√( 844 )) / ( 12 )

n = ( 2 ±2√(211 )) / ( 12 )

n = ( 1 ± √(211 )) / 6

n = ( 1 - √(211 )) / 6 or n = ( 1 + √(211 )) / 6

Therefore, the values of n are ( 1 - √(211 )) / 6 and ( 1 + √(211 )) / 6.

Learn more about quadratic equations here: brainly.com/question/1863222

#SPJ1

The volume of the solid generated by revolving the region about the given line. the region in the first quadrant bounded above by the line y=2 square root 3 is \(16\pi /3 (\sqrt[]{3} - 1).\)

To find the volume of the solid generated by revolving the region in the first quadrant bounded above by the line y=2 square root 3, we need to know the axis of rotation. Assuming the axis of rotation is the x-axis, we can use the method of cylindrical shells.

The region bounded above by the line y=2 square root 3 and the x-axis is a triangle with base length 2(2/√3) and height 2√3. Thus, the area of the region is A = (1/2)(2(2/√3))(2√3) = 4.

To generate the solid, we revolve the region about the x-axis. Consider a horizontal strip of thickness dx at a distance x from the y-axis. The radius of the cylindrical shell generated by this strip is r = 2√3 - x, and the height of the shell is the same as the height of the region, h = 2√3.

The volume of the shell is given by V = 2πrhdx = 4π(2√3 - x)dx.

Integrating from x = 0 to x = 2√3, we have:

\(V = \int\limits{ { 0^(^2^\sqrt[]{3} )} 4\pi (2\sqrt[]{3} - x)}dx\)
 = \(4\pi (2\sqrt{3x} - x^2/2)|0^(^2^\sqrt{3} )\)
 = 16π/3 (√3 - 1)

Therefore, the volume of the solid generated by revolving the region about the x-axis is 16π/3 (√3 - 1).

Know more about volume here:

https://brainly.com/question/463363

#SPJ11

we have

the solution is the interval {2, infinite)

In a number line the solution is the shaded area at right of a=2 (close circle)

therefore

the answer is

First option

Answer:

The constant of a polynomial function is the coefficient of the term with the highest degree (the term with the highest power of x), which in this case is 0. Therefore, the constant of the polynomial function f(x)=-(x+3(x+7)²(x-1)⁵(x+1)⁷(x-4) is 0.

The required, at the end of each week, Michael will have the following number of toys: 400, 200, 100, 50, and 25 toys.

To find the number of toys Michael will have at the end of each week, we can use the concept of repeated halving.

Starting with 800 toys, Michael will give away half of his toys at the end of each week. This can be represented mathematically as:

Toys at the end of Week 1: 800 / 2 = 400

Toys at the end of Week 2: 400 / 2 = 200

Toys at the end of Week 3: 200 / 2 = 100

Toys at the end of Week 4: 100 / 2 = 50

Toys at the end of Week 5: 50 / 2 = 25

Therefore, at the end of each week, Michael will have the following number of toys:

Week 1: 400 toys

Week 2: 200 toys

Week 3: 100 toys

Week 4: 50 toys

Week 5: 25 toys

Learn more about simplification here:

https://brainly.com/question/26457997

#SPJ4

The required equation of the line will be y = 2x + 6 which passes through the points (-2,10), (10 -14).

The slope of a line is defined as the gradient of the line.

Given that line passes through the points (-2,10), (10 -14)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = -2, y₁ = 10

x₂ = 10, y₂ = -14

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 10 = (-14 - 10)/(10-(-2))[x -(-2)]

⇒ y - 10 = (-24)/(12 )[x +2]

⇒ y - 10 = -2(x +2)

⇒ y = -2x - 4 + 10

⇒ y = -2x + 6

Therefore, the equation of the line would be y = 2x + 6 which passes through the points (-2,10), (10 -14).

Learn more about the Slope of the Line here:

brainly.com/question/14511992

#SPJ1

Answer:

\(x\leq-\frac{7}{6}\)

Step-by-step explanation:

\(6x+8\geq1\\6x\geq-7\\x\leq-\frac{7}{6}\)

The answer is:

x ≥ -7/6

Work/explanation:

The symbol for greater than or equal to is ≥.

The inequality is:

6x + 8 ≥ 1

Subtract 8 on each side

6x > -7

Divide each side by 6.

x > -7/6

Hence, the answer is x > -7/6.

The nearest whole number, the estimated time required by the 50th unit is 47 minutes.Therefore, the correct option is b. 48 minutes.

Given the 13th unit requires 87 minutes and 26th unit requires 64 minutes.To find the estimated time required by the 50th unit, we need to use the equation of the linear equation of the line.Let's find the value of m (slope).`m = (64 - 87)/(26 - 13)m = -23/13`Let's find the value of b (y-intercept).`b = 87 - (-23/13) × 13b = 87 + 23b = 110`

Therefore, the equation of the line can be written as:y = -23/13 x + 110Let's substitute the value of x as 50 and find the value of y (time required by the 50th unit).`y = -23/13 × 50 + 110y = 47.31`Rounded to the nearest whole number, the estimated time required by the 50th unit is 47 minutes.Therefore, the correct option is b. 48 minutes.

To know more about linear equation  refer to

https://brainly.com/question/32634451

#SPJ11

Answer:

There is no slope, it is undefined and the line would continue to go up from the position x= -9

brainliest if correct please

Answer:

4

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

add them together

The score for the second-place player in the card game was -11.

In the given card game, the winner is the person closest to zero. We are told that the second-place player was eight points behind the winner. Given that the winner had a score of -3, we can calculate the score for the second-place player.

Since the second-place player was eight points behind the winner, we can find their score by subtracting eight from the winner's score. In this case, the winner's score is -3, so subtracting eight from -3 gives us -3 - 8 = -11. Therefore, the score for the second-place player in the card game was -11.

In summary, the second-place player had a score of -11, which was eight points behind the winner's score of -3.

Learn more about Card game here:

https://brainly.com/question/30125322

#SPJ11

The monthly payments for the same loan would be approximately $694.12.

To calculate the annual payment required to pay off a four-year, $27,000 loan at an interest rate of 9 percent EAR, we can use the formula for the present value of an ordinary annuity:

PV = PMT * (1 - (1 + r)^(-n)) / r

Where:

PV = Loan amount = $27,000

PMT = Annual payment

r = Interest rate per period = 9% = 0.09

n = Number of periods = 4

Plugging in these values into the formula, we can solve for PMT:

$27,000 = PMT * (1 - (1 + 0.09)^(-4)) / 0.09

Simplifying the equation, we have:

$27,000 = PMT * (1 - 0.708222) / 0.09

$27,000 = PMT * 0.291778 / 0.09

PMT = $27,000 * 0.09 / 0.291778

PMT ≈ $8,329.40 (annual payment)

To calculate the monthly payments for the same loan, we can divide the annual payment by 12:

Monthly payment = $8,329.40 / 12

Monthly payment ≈ $694.12

Therefore, the monthly payments for the same loan would be approximately $694.12.

learn more about payments on

https://brainly.com/question/15136793

#SPJ11

Answer:

\(- 8 {y}^{3} + 6 {y}^{2} \)

Step-by-step explanation:

\(2y^2(-6y + 3) + 4y^3 \\ \\ = - 12 {y}^{3} + 6 {y}^{2} + 4 {y}^{3} \\ \\ = 4 {y}^{3} - 12 {y}^{3} + 6 {y}^{2} \\ \\ = - 8 {y}^{3} + 6 {y}^{2} \)

Answer:

B. 4

Step-by-step explanation:

there are 12 in. in one foot and since there are 2 ft there would be 24 in.

24 divided by 6 is 4 hope it helped :)

There are 4 pieces would be possible to cut 6 in. long board from 2 ft. long board.

The dimension of a physical quantity is defined as the power to which the fundamental quantities are raised to express the physical quantity

Here, Total board size = 2 ft

         We know that, 1 ft. = 12 in.

                  so, 2 ft. = 24 in.

We have to cut board into 6 in. board

Total number of boards = Bigger Board Size / Small size

                                         = 24 / 6

                                         = 4 pieces

Thus, there are 4 pieces would be possible to cut 6 in. long board from 2 ft. long board.

Learn more about Dimensions from:

https://brainly.com/question/13770353

#SPJ2

The z-score that The z-score that corresponds to the desired level of confidence is often used when creating a confidence interval for a proportion (p).

The crucial z-value for a 98% confidence interval can be calculated by subtracting the confidence level from 1 to obtain the area in the tail and dividing it by 2 to divide the tail area equally. In this instance, (1 - 0.98), / 2, equals 0.01 / 2, or 0.005.We can find the z-score for a cumulative chance of 0.005 in the lower tail using a calculator or a conventional normal distribution table. It is estimated that the z-score is -2.33.

learn more about corresponds here :

https://brainly.com/question/26104021

#SPJ11

The aspects of a written report would Malcom most likely prioritize over some of his millennial reports are specific work environment, industry, or personal inclinations.

Traditionalists generally appreciate reports that rely on factual information and data to support arguments and conclusions. Malcolm may prioritize reports that provide evidence-based analysis, statistical data, and logical reasoning. He might expect the inclusion of citations or references to reputable sources when presenting facts, figures, or external information. This focus on concrete evidence helps establish credibility and supports decision-making processes.

Given Malcolm's traditionalist tendencies, he might prioritize reports that demonstrate a keen eye for detail and accuracy. He may expect information to be well-researched, double-checked for accuracy, and presented in a meticulous manner. Spelling errors, typos, or incorrect information may be seen as indications of carelessness or lack of professionalism, which might impact his perception of the report's quality.

Furthermore, individuals' preferences may also be influenced by their specific work environment, industry, or personal inclinations. Effective communication and understanding between Malcolm and his millennial team members would involve considering their perspectives and finding a balance that satisfies everyone's needs and preferences while maintaining the standards required by the organization.

To know more about millennial reports here

https://brainly.com/question/31785538

#SPJ4

The monthly payment for the car loan is approximately 16,216.38 pesos. The outstanding balance after 2 years is approximately 650,577.85 pesos.

To find the monthly payment for the car loan, we can use the formula for the monthly payment on a loan:

P = (r * PV) / (1 - (1 + r)^(-n))

Where:

P is the monthly payment

r is the monthly interest rate

PV is the loan amount (present value)

n is the total number of payments

In this case, the loan amount PV is 800,000 pesos, the monthly interest rate r is 7% / 12 (since the interest is compounded monthly), and the total number of payments n is 5 years * 12 months/year = 60 months.

Substituting these values into the formula, we have:

P = (0.07/12 * 800,000) / (1 - (1 + 0.07/12)^(-60))

Calculating this expression, we find that P ≈ 16,216.38 pesos.

So, the monthly payment for the car loan is approximately 16,216.38 pesos.

To find the outstanding balance after 2 years, we need to calculate the remaining balance after making monthly payments for 2 years. We can use the formula for the remaining balance on a loan:

Remaining Balance = PV * (1 + r)^n - P * ((1 + r)^n - 1) / r

Where:

PV is the loan amount (present value)

r is the monthly interest rate

n is the number of payments made

Substituting the given values into the formula, we have:

Remaining Balance = 800,000 * (1 + 0.07/12)^24 - 16,216.38 * ((1 + 0.07/12)^24 - 1) / (0.07/12)

Calculating this expression, we find that the outstanding balance after 2 years is approximately 650,577.85 pesos.

So, the outstanding balance after 2 years is approximately 650,577.85 pesos.

Learn more about "interest rate":

https://brainly.com/question/25720319

#SPJ11

1. The 8th term of the arithmetic sequence is 315

2. The 8th term of the geometric sequence is 405329

3. The 8th term of the geometric sequence is 144999

1. The 8th term in the sequence 15, 24, 42, 78, 150;

The sequence is an arithmetic sequence, which means that the difference between any two consecutive terms is constant. In this case, the difference is 9. To find the 8th term, we can simply add 9 to the 7th term, which is 150.

8th term = 7th term + 9

= 150 + 9

= 315

2. The 8th term in the sequence 12, 59, 294, 1469, 7344

The sequence is a geometric sequence, which means that the ratio between any two consecutive terms is constant. In this case, the ratio is 5. To find the 8th term, we can simply raise the first term to the power of 8 and multiply it by the common ratio.

8th term = First term⁸ * Common ratio

= 12⁸ * 5

= 405329

3. The 8th term in the sequence 3, 19, 99, 499, 2499 is 144999.

The sequence is also a geometric sequence, but the common ratio is 6. To find the 8th term, we can simply raise the first term to the power of 8 and multiply it by the common ratio.

8th term = First term⁸ * Common ratio

= 3⁸ * 6

= 144999

Learn more on sequence here;

https://brainly.com/question/6561461

#SPJ1

Answer:

D brainliest?

Step-by-step explanation:

Answer:

Identity property of addition

Step-by-step explanation:

Given

Step 3: 6x = 12

Required:

Which property justifies Step 3 of his work

The property that justifies this step is the identity property of addition;

At step 2; the equation was

6x + 0 = 12

When 0 is added to any expression or number, the value of the number or expression remains unchanged.

So, when 0 is added to 6x on the left hand side of the equation, the value remains the same as follows:

So, 6x + 0 = 12 becomes

6x = 12.

This property is referred to as the Identity property of addition

Answer:

Identity property of addition

Step-by-step explanation:

Given

Step 3: 6x = 12

Required:

Which property justifies Step 3 of his work

The property that justifies this step is the identity property of addition;

At step 2; the equation was

6x + 0 = 12

When 0 is added to any expression or number, the value of the number or expression remains unchanged.

So, when 0 is added to 6x on the left hand side of the equation, the value remains the same as follows:

So, 6x + 0 = 12 becomes

6x = 12.

This property is referred to as the Identity property of addition

The area of the regular dodecagon with sides five times the length of the smaller dodecagon is 1750 in².

The area of a regular polygon is proportional to the square of its side length. If we have a regular dodecagon with area A and side length s, and another regular dodecagon with area B and side length 5s, the relationship between their areas can be expressed as:

\(B = (5s)^2 / s^2 * A\)

Simplifying this equation, we get:

B = 25A

Since we know the area of the smaller dodecagon is 70 in², we can substitute A = 70 into the equation to find the area of the larger dodecagon:

B = 25 * 70

B = 1750

Therefore, the area of the regular dodecagon with sides five times the length of the smaller dodecagon is 1750 in².

To know more about regular dodecagon refer here :

brainly.com/question/10657578#

#SPJ4