Write an equation of the line passing through the point (8, 2) that is parallel to the line 6x - 9y = -7.

n!-(n-1)!=16(n-2)! by factorizing it by  n!  and dividing it by n! we get n is equal to 2 .

The intersection point in mathematics is the location on the y-axis where the slope of the line passes. a point where a line or curve's y-axis crosses it. This is demonstrated using the equation for the straight line, Y = mx+c, where m denotes the slope and c the y-intercept. The equation's intercept form highlights the line's slope (m) and y-intercept (b). The slope is m and the y-intercept is b when an equation has the intercept form (y=mx+b). It is also possible to rewrite some equations so that they resemble slope intercepts. For example, the slope and y-intercept are both modified to 1 if y=x is rewritten as y=1x+0.

given

n! + (n+1)! = (n+2)!

Let us rewrite:

n!+ (n+1)n! = (n+2)(n+1)n!

Factorize n!

n!(1+n+1) = (n+2)(n+1)n!

Divide by n!

==> n+2 = (n+2)(n+1)

No divide by (n+2)

==> 1= n+1

==> n = 0

to verify substitute with n=0

==> 0! + 1! = 2!

==> 1+1 = 2

==> 2=2

n!-(n-1)!=16(n-2)! by factorizing it by  n!  and dividing it by n! we get n is equal to 2 .

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height of pentagonal prism is h unit.

The prism is one that has two pentagonal bases from which one acts as bottom and the other acts as top. The pentagonal prism has five rectangular sides. This prism has 10 vertices and 15 edges. It is also said five-sided polygon prism.

given, area of pentagonal prism = 34 square unit

volume of pentagonal prism = 180.2 cubic unit

we know the formula for the area of the pentagonal prism.

Total surface area = 5ab + 5hb

Volume of pentagonal prism = 5/2 a b h

where, a =apothem length

b = base length

h = height of the prism

according to the given statement, 34 = 5 a b + 5 h b

          180.2 = 5/2 a b h

from the above two equation, we get, the height of prism = h unit.

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Answer: There are 4 quarts in a gallon so to convert 5 gallons to quarts you would multiply 5 x 4 = 20 quarts.

Answer: 2x+19

Step-by-step explanation:

Simplify the expression by combining the like terms

Therefore ,the solution to the given problem of angles comes out to be

∠K= 66 degree,LK length = 2√2 unit LK length = 2√2 unit.

In Geometrical, an angled is a structure made up of two rays, known as the angle's face, that converging at the vertex, or center, of the angle. It is feasible for two beams to form an angle within a plane depending on where they are placed. An angle is also created when two planes intersect. The nomenclature to them is diahedral angles. In plane geometry, light rays or lines with the same ending can have many different forms, or angles. The Latin word "angulus," which means "horn," is where the word "angle" in English comes from. The vertex, also known as the vertex of the angle, is the point at where the two rays meet.

Here,

Given: A right angle triangle MKL

∠M = 24 degree

and ∠K =90 degree

Thus,

=> ∠L + ∠M  +∠K =180

=> 90 + 24 + ∠K = 180

=>∠K =180-114

=> ∠K= 66 degree

and

LK length = 2√2 unit

LK length = 2√2 unit

Therefore ,the solution to the given problem of angle comes out to be

∠K= 66 degree,LK length = 2√2 unit LK length = 2√2 unit.

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Use the exists condition to determine whether a record in a MySQL table exists or not. Subquery and the exists condition are both compatible.

Informally, a sequence in mathematics is a list of items that are in some order (or events). It possesses members, much like a set (also called elements, or terms). The length of the sequence is the quantity of ordered elements (which may be infinite). You should be familiar with the following four main categories of sequences: arithmetic, geometric, quadratic, and special. Lists of numbers connected by a rule are known as number sequences. The subsequent numbers in the series can be calculated if the rule is understood. Each of the numbers in this example differ by 6, thus that is the case. It follows that adding 6 each time is the rule for this sequence.

given

Use the exists condition to determine whether a record in a MySQL table exists or not. Subquery and the exists condition are both compatible. When a row is present in the table, it returns true; otherwise, false is returned. False is represented as 0, whereas true is represented as 1.

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The substitution method is a process used to solve a system of equations. It involves replacing one variable with the expression of the other variable in one equation, and then solving for the remaining variable.

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We must factorize the provided polynomial equation in order to obtain a linear and quadratic equation before we can discover the roots of the three-degree polynomial.

A mathematical expression made up of coefficients and uncertainty that only makes use of additions, subtractions, multiplications, and positive integer powers of variables is known as a polynomial. The formula x2 4x + 7 denotes a single indeterminate x polynomial. An expression in mathematics known as a polynomial is made up of variables (also known as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. An algebraic statement with variables and coefficients is called a polynomial. An expression can only contain the operations addition, subtraction, multiplication, and non-negative integer exponents. Polynomials are the name for these expressions.

We must factorize the provided polynomial equation in order to obtain a linear and quadratic equation before we can discover the roots of the three-degree polynomial. The zeros of the three-degree polynomial are then easily ascertainable.

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Answer:

the original numbers are 5 and 2

Step-by-step explanation:

fistly it says inorder to find x one has to add the larger number to the square of the smaller number. So in this case start off with smaller guesses of positive integers as it is simpler that way.

the first guesses that would end up giving you 9 as an answer is 5 and 2

So now that the integers chosen fit in when calculating x we have to check if it also checks out in calculating y.

For y the difference between the 2 integers have to give an answer of 3. after calculations it the numbers comply to the statement for y;

hence the answers are 5 and 2

Answer:

x=0 or x=pi / x=πn

Step-by-step explanation:

cos2x + 3 = 4

subtract 3 from both sides

cos2x = 1

take the inverse cos/arccos of both sides

arccos(cos2x) = arccos(1)

2x=0 or 2x=2pi

divide both sides by 2

x=0 or x=pi

beyond (0,2pi) for every possible answer you should do x=(pi)n since any multiple of pi gives you the same answer

As per the area of rectangle, the required length of rope is 36.66 square meter.

The formula to calculate the area of rectangle is written as,

=> A = l x b

Where l refers the length and b refers the breadth.

Here we have given that a florist want to put a rope around his rectangular garden with the dimensions 7. 8m by 4. 7m.

In order to put the rope we have to find the area of the garden,

The area of the garden is calculated by using the area of rectangle formula, as 7.8 as length and 4.7 as breadth

=> A = 7.8 x 4.7

=> A = 36.66

Therefore, 36.66 square meter is required.

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The probability that the child will select a pair of sunglasses both times is; 1/25

We are given the contents of the toy chest as;

7 puzzles

4 squishy balls

5 pairs of play sunglasses

9 fidget spinners

Total toy chest = 7 + 4 + 5 + 9

= 25

Probability of first choice being sunglasses = 5/25 = 1/5

Probability of second choice being sunglasses = 5/25 = 1/5

P(two choices being sunglasses) = 1/5 * 1/5 = 1/25

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Answer: 32

Since you have 4 choices of shirts, then 4 choices of shorts, and then 2 choices of shoes, the formula should be set up as 4 x 4 x 2. This gives you 32 outfit options.

The measure of angle TSB is m ∠TSB = 40°.

What is inscribed angle?

In terms of geometry, an inscribed angle is the angle created when two chords intersect within a circle. It can also be described as the angle formed by two specified points on a circle at a given point on the circle. Two chords of the circle sharing an endpoint are equivalently used to define an inscribed angle.

Given:

The measure of arc BR = 100°.

We have to find the measure of angle TSB.

Since the measure of half of the arc is 180°.

⇒       TR = 180°

 TS + BR = 180°

TS + 100° = 180°

          TS = 180° - 100°

          TS = 80°

The measure of arc TS is 80°.

Since,

             TS = 2 m ∠TSB

⇒ m ∠TSB = 1/2TS

   m ∠TSB = 1/2(80°)

  m ∠TSB = 40°.

Hence, the measure of angle TSB is m ∠TSB = 40°.

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no just no because I'm too busy for this stupodnesss and ur in the matrix

The formula to calculate the quotient of 2 3 and 2 9 is written as 2 3 divided by 2 9, or 2 3 / 2 9.

To calculate the answer, first divide 2 by 9, which is equal to 0.22. Then multiply 0.22 by 3, which is equal to 0.66. The final answer is 0.66.

In order to solve this problem, the division operation was used. The first number, 2 3, was divided by the second number, 2 9. The division operation was used to determine how many times the second number could fit into the first number. The answer of 0.66 means that 2 9 can fit into 2 3 0.66 times. This answer can be written as 0.66, or as a fraction, 2/3.

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By solving the algebraic expression A=125^x/(1+125^x)​ the answer is 8/35.

When addition, subtraction, multiplication, division, and other mathematical operations are performed on variables and constants, the result is a mathematical statement known as an algebraic expression. Any combination of terms that have undergone operations like addition, subtraction, multiplication, division, etc. is known as an algebraic expression (or variable expression).

given that 5^x/(1+5^x)=2/5

or (1+5^x)/5^x = 5/2

⇒ 1/5^x + 1 = 5/2

⇒ 1/5^x = 5/2 - 1

⇒ 1/5^x = (5-2)/2

⇒ 1/5^x  = 3/2

or 5^x = 2/3

now,

A = 125^x/(1+125^x)

⇒ A = (5^3)^x/{1+(5^3)^x}

⇒ A = 5^3x/(1+5^3x)

⇒ A = (5^x)^3/{1+(5^x)^3}

⇒ A = (2/3)^3/{1+(2/3)^3}

⇒ A = (8/27)/(1+8/27)

⇒ A = (8/27)/{(27+8)/27}

⇒ A = (8/27)/(35/27)

⇒ A = 8/35

So that A=125^x/(1+125^x)​ = 8/35

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The length of side o is, 48.6 inches.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In ΔNOP,

⇒ n = 61 inches, m ∠N = 140° and m ∠O = 31°.

Now, Let the length of side o = x

So, By sine rule, we get;

⇒ sin N / n = Sin O / o

Substitute all the values, we get;

⇒ sin140°/  61 = sin 31° / x

⇒ 0.64 / 61  = 0.51 / x

⇒ x = 0.51 × 61 / 0.64

⇒ x = 48.6 inches

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Polynomial function R is the difference of two​ degree-2 polynomial functions P and Q. the possible degree of Polynomial R is

A polynomial function is a function in an equation, such as the quadratic equation or the cubic equation, that only uses non-negative integer powers or only positive integer exponents of a variable.

A polynomial function of degree 2 is a quadratic function.

The degree of polynomials can only increase during multiplication, when polynomials are added or subtracted the result will have a degree which is at most the degree of the functions operated on.

Polynomial of degree zero are constants and hence is possible in the case

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complete question

Polynomial function R is the difference of two degree-2 polynomial functions P and Q. What are the possible degrees for R? Explain.

Select the correct choice below and fill in the answer box to complete your choice.

(Type an integer or a decimal. Use a comma to separate answers as needed)

A. The possible degree(s) is/are    because it must be equal to the greater of the degrees of P and Q.

B. The possible degree(s) is/are    because it must be equal to the lesser of the degrees of P and Q.

C. The possible degree(s) is/are     because it must be less than the degree of either P or Q

D. The possible degree(s) is/are    because it cannot be higher than the degree of either P or Q but it can be less depending on which terms cancel

The quotient of the division problem is (x + 1)/(x +2). The result is obtained by determining the factors of the two quadratic equations.

The quadratic equation can be expressed as

ax² + bx + c = 0

Where c is a constant.

To find the factors of a quadratic equation, follow these steps!

Find the quotient of (x² + 2x + 1)/(x² + 3x + 2) = 0!

For quadratic equation x² + 2x + 1:

The common factors: (x + 1)(x + 1)

For quadratic equation x² + 3x + 2:

The common factors: (x + 2)(x + 1)

The quotient of the quadratic equations is

(x² + 2x + 1)/(x² + 3x + 2) = 0

(x + 1)(x + 1)/(x + 2)(x + 1) = 0

(x + 1)/(x + 2) = 0

Hence, the quotient of the quadratic equations is (x + 1)/(x + 2) = 0.

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By analyzing the question, The side adjacent to angle L is D)JR.

In a triangle, adjacent sides are sides that share a common vertex (or corner) and are next to each other.

An angle is the amount of rotation between two lines or planes that share a common point. It is typically measured in degrees or radians.

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Answer:

There are six types of triangles based on their side lengths:

Equilateral Triangle: A triangle with all sides of equal length. For example, a triangle with sides of 3cm each is an equilateral triangle.

Isosceles Triangle: A triangle with two sides of equal length. For example, a triangle with sides of 2cm, 2cm, and 3cm is an isosceles triangle.

Scalene Triangle: A triangle with no sides of equal length. For example, a triangle with sides of 2cm, 3cm, and 4cm is a scalene triangle.

Acute Triangle: A triangle with all angles measuring less than 90 degrees. For example, a triangle with angles measuring 60, 75, and 45 degrees is an acute triangle.

Right Triangle: A triangle with one angle measuring exactly 90 degrees. For example, a triangle with angles measuring 45, 45, and 90 degrees is a right triangle.

Obtuse Triangle: A triangle with one angle measuring more than 90 degrees. For example, a triangle with angles measuring 90, 45, and 45 degrees is an obtuse triangle.

Step-by-step explanation:

Answer:no

Step-by-step explanation:

On solving the provided question, we can say that  there are 6 girls for every 2 boys, ratio = 3:1

Ratios show how often one number is contained in another in mathematics. For instance, the ratio of oranges to lemons in a fruit dish is 8 to 6 if there are 8 oranges and 6 lemons present. In a similar vein, the proportion of oranges to whole fruit is 8, while that of lemons to oranges is 6:8. A ratio is an ordered pair of numbers a and b that is expressed as a / b, with b not equal to zero. An equation equating two ratios is known as a ratio. The ratio can be expressed as 1:3, for instance, if there is 1 boy and 3 girls (for every boy she has 3 girls) 3/4 are girls, while 1/4 are boys.

there are 6 girls for every 2 boys.

ratio will be

6/2 = 3/1

ratio = 3:1

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The locus of points inside triangle [tex]ABC[/tex] that are closer to [tex]AB[/tex] than [tex]BC[/tex].

The amount of money Mina will receive in dollars is $13.33 USD.

Mina returned from a trip and needs to exchange 18 pounds  GBP back to USD. She finds that the current exchange rate is 1.35 pounds GBP to $1.00 USD.

Therefore, the amount of money Mina will receive in dollars can be calculated as follows:

Therefore,

1.35 pounds = 1.00 dollars

18 pounds = ?

cross multiply

Therefore,

amount of money in dollars she will receive =  18 × 1.00 / 1.35

amount of money in dollars she will receive = 18 / 1.35

Therefore,

amount of money in dollars she will receive = 13.33 dollars

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The area of a triangle rectangle can be calculated using the formula A = 1/2 * b * h, where b is the base of the triangle and h is the height.

To calculate the area of a triangle rectangle, first measure the length of the base and the height of the triangle. To calculate the area, first we need to measure the base and the height of the triangle rectangle.Then, multiply the two values together and divide the result by two. For example, if the base of the triangle measures 10 cm and the height measures 8 cm, then the area of the triangle rectangle is 10 cm x 8 cm = 80 cm2, and the area of the triangle rectangle is 80 cm2/2 = 40 cm2.

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The total weight of the items is 29.25 lb.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

The wight of one can = 13 1/2 = 27/2 pounce

and, number of cans in one case = 12

So,  total weight of the items

= 1/16 ( 27/2 x 12 x 2)+ 4x 2.375

= 1/16 ( 324) + 9.5

= 81/4 + 9.5

= 20.25+ 9.5

= 29.25 lb

Hence, the weight is 29.25 lb.

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