lim(x→1)〖(2x2+x−1)/(2x−1)

The supplementary angles are (a) >AFC and >CFB

The complete question is added as an attachment

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

The figure

As a general rule, supplementary angles are angles that add up to 180 degrees

From the attached figure, we have

AFC + CFB = 180 degrees

This means that these angles are supplementary angles

Hence, the supplementary angles are (a) >AFC and >CFB

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The number of sells she needs to to in order to earn same as fixed monthly salary, 3000

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

Given that,

First choice, monthly salary of ​$1260 from a company

Second choice, base salary of ​$1200 and a ​2% commission on the amount of furniture she sells during the month.

Let's call the amount of furniture Juliet sells each month "x".

With the second option, Juliet would receive a monthly salary of $1200 + 0.02x,

We want to find the value of x such that this salary is equal to $1260, so we can set up the following equation:

$1200 + 0.02x = 1260

Subtracting $1200 from both sides:

0.02x = 60

Dividing both sides by 0.02:

x = 3000

So, for Juliet to earn the same salary with either option, she would need to sell $3000 worth of furniture each month.

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Answer:

Sera drove 450 miles (y) and his car used 18 gallons (x) of gas. How many gallons of gas will Sera use if she drives 875 miles?

1. Identify x:

2. Identify y:

3. Calculate k using k =y/x:

4. Write an equation for the proportional relationship using y =kx:

5. Solve the problem and show your work: How many gallons of gas will Sera use if she drives 875 miles?

Step-by-step explanation:

Sera drove 450 miles (y) and his car used 18 gallons (x) of gas. How many gallons of gas will Sera use if she drives 875 miles?

1. Identify x:

2. Identify y:

3. Calculate k using k =y/x:

4. Write an equation for the proportional relationship using y =kx:

5. Solve the problem and show your work: How many gallons of gas will Sera use if she drives 875 miles?

The solution is, the area of the given figure is 156 ft^2.

The area of a trapezoid is found using the formula, A = ½ (a + b) h,

where 'a' and 'b' are the bases (parallel sides) and 'h' is the height .

here, we have,

from the given figure , we get,

the trapezoid's,

parallel sides are, 10 ft. & 3ft.

height =24 ft.

so, area = ½ (a + b) h,

i.e. A =156ft^2

Hence, The solution is, the area of the given figure is 156 ft^2.

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Answer:

Step-by-step explanation:

2=35434567654321-34567887654321=2345678765-cwjbfd3

20 is 8 less than 28 as 3x-5 is 10 less than 3x-5+10.

Comparing numbers in math is defined as a process or method in which one can determine whether a number is smaller, greater, or equal to another number according to their values.

Given that, 20 is to 28 as 3x-5 is to 3x-5+10

We see, 28-20 = 8

That mean, we need to add 8 to 20 or subtract 8 from 28 to make both equal,

Therefore, we can say, 20 is 8 less than 28, or 28 is 8 more than 20,

Similarly,

3x-5 and 3x-5+10

We see, 3x-5+10 - (3x-5)

= 3x+5-3x+5

= 10

That mean, we need to add 10 to 3x-5 or subtract 10 from 3x-5+10 to make both equal,

Therefore, 3x-5 is 10 less than 3x-5+10, or 3x-5+10 is 10 more than 3x-5,

Hence, 20 is 8 less than 28 as 3x-5 is 10 less than 3x-5+10.

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The equation which is used to represent the ages of Pierre and Claude is given by p = c + 3.

Linear equation in two variables can be written in the form of ax + by = c where a, b and c are constant terms and x, y are independent and dependent variables respectively. Here in this question the age of Pierre is represented as p and the age of Claude is represented as c. Since, Pierre is 3 years older than Claude then the equation representing their age can be formulated as:

p = c + 3 where p is Pierre's age and c is Claude's age and this represents that Pierre's age will be given when we will add 3 years more in the age of Claude.

Thus, the equation representing the age of Pierre is p = c + 3.

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Answer:

p=c+3

20 years old

Step-by-step explanation:

Answer:

y = 7x - 7

Step-by-step explanation:

The equation for the function can be found using the slope-point form of a linear equation: y = mx + b, where m is the slope of the line and (x, y) is a point on the line.

To find the slope, we can use the two points:

m = (35 - 21) / (12 - 4) = 7

To find the y-intercept, we can substitute one of the points and the slope into the equation:

21 = 7 * 4 + b

Solving for b, we get:

b = 21 - 28 = -7

So, the equation of the line is:

y = 7x - 7

Answer:

X= ( 14,0)

Y= (0, -2)

Answer:

x <  1

Step-by-step explanation: A closed dot means "includes" such as ≤ and ≥. An open dot means that it does not include the integers in the direction the arrow is pointing so the symbols are: <, or >. Think of it as closed dot: case closed know answer, and open dot the question is up or open for discussion. meaning it could be ANY of the integers the arrow is pointing.

The shipping charge of an item on the purchase $56 would be $2.52.

We are Given that, a company charges a shipping fee that is 4.5% of the purchase price for all items at ships.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

The Cost of an item =$56

So, shipping fee = 4.5% of 56

Therefore, we have

= 4.5/100 × 56

= 0.045 × 56

= $2.52

Hence, the shipping charge of an item is $2.52.

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The total surface area of the solid cubes is 62 cm².

Your question is incomplete but most probably your full question was:

The solid below is made from 1 centimeter cubes. Find the total surface area of the solid. Be sure to include the correct unit in your answer.

A 1 cm cube has length = width = height = 1 cm.

So area of cube = length x length 1× 1= 1cm²

Consider a particular body view or part.

Left Surface Area = Right Surface Area = 1 × 10 = 10 cm²

Front area = Back area = 1x 9 = 9 cm²

Its plan area = its floor area = 1 x 12= 12 cm²

Total solid surface area = 10 + 10 + 9+9+12+12 = 62cm²  

A cube is a geometric shape where all the sides are square and all the edges are the same length. Examples of these shape objects include rubik's cubes, dice, and gift boxes.

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This can be proved by considering triangle BOC and triangle BAC as right triangles. The sum of the angles in a triangle is 180°, and in a right triangle, one of the angles is 90°. So, in each of triangles BOC and BAC, the sum of the other two angles must be 90°.

A triangle is a geometric shape that consists of three points, called vertices, connected by three line segments, called sides. The sum of the interior angles of a triangle is always 180 degrees. Triangles can be classified based on their sides (equilateral, isosceles, scalene) and their angles (acute, right, obtuse).

Hence, the sum of angle BOC and angle BAC must be 180°

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The accounts receivable turnover in 20Y3, and 20Y2 are 5. 9 and 5. 4 respectively.

The accounts receivable turnover for Henock can be found by the formula :

= Sales / Average assets

For the year 20Y3, the accounts receivable turnover would be:

= 646, 050 / ( ( 106, 000 + 113, 000 ) / 2 )

= 646, 050 / 109, 500

= 5. 9

For year 20Y2, the accounts receivable turnover is:

= 630, 720 / ( ( 113, 000 + 120, 600 ) / 2 )

= 630, 720 / 116, 800

= 5. 4

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The full question is:

The following data are taken from henock plc.

Terms of all sales are 2/10, n/45. 20Y3 20Y2 20Y1 Accounts receivable, end of year $106,000 $113,000 $120,600 Sales on account 646,050 630,720.

For 20Y2 and 20Y3, determine (1) the accounts receivable turnover

Therefore , the solution of the given problem of linear equation comes out to be monthly amount she applies to it is $550.

Using the formula y=mx+b, a simple regression curve is constructed. The slope is B, and the y-intercept is m. Even if y or y are separate portions, the foregoing sentence is frequently referred to as a "mathematical formula merging many variables." In bivariate linear equations, there are only two variables. Application problems involving linear equations have no known solutions.

Here,

Given :

=> $150 extra in her debt

her debt be x

y be the amount she already pays

=> amount left

=> x - y - 150

=> x- (y+150)

Let x be 1000

y be 300

=> 1000 -(300+150)

=> 1000 -450 = 550

Thus,

monthly amount she applies to it is $550

Therefore , the solution of the given problem of linear equation comes out to be monthly amount she applies to it is $550.

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a)The Molecular geometry for AF₃, in above three figures are

i) Trigonal Planar

ii) Trigonal pyramidal

iii) T-shaped

b) NF₃(Nitrogen trifluoride), PF₃(Phosphorus trifluoride).

c) ClF₃(Chlorine trifluoride).

Molecular geometry studies the formulation of 3-D shapes by molecules and how these shapes relate to chemical reactivity and physical properties.

(i) If the central atom A has four valence electrons and three monovalent atom B, then A can form three sigma bond with B and zero free electron left around A, so the molecule is sp² hybridized with three bond pair so it has trigonal planar shape.

ii) If the central atom A has three valence electrons and three monovalent atom B, when there are three bonds and one lone pair on the central atom in the molecule, so the molecule is sp³ hybridized and has trigonal pyramidal.

iii) If the molecule is If the molecule is sp³d hybridized, it has three bond pairs and two lone pair and has T-shaped.

b) Here, we see A have three (+3) valency and F have (-1) valency. In the provide atoms are Atom --> valency : Li --> 1 , B--> 3 , N--> 3 , Al --> 3 , P --> 3 , Cl --> 1. But here AF₃ only possible combinations of metal A and Fluorine, F. So, the required element is NF₃(Nitrogen trifluoride), PF₃(Phosphorus trifluoride).

c) The shape (iii) is T- shaped in nature. After reading the above discussion the molecule which has T -shaped is ClF₃(Chlorine trifluoride).

Hence, the required is ClF₃.

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Complete question:

This figure shows ball-and-stick drawings of three possible shapes of an AF₃ molecule (above figure).

a)For each shape, give the electron-domain geometry on which the molecular geometry

b) Which of the following elements will lead to an AF₃ molecule with the shape in (ii): Li, B, N, Al, P, Cl?

c) Name one of the possible elements A those are expected to lead to the AF₃ structure shown in (iii). Express your answer as a chemicl symbol.

None of U, V, W, X, Y, and Z are knights, but some of them are knaves. V, W, X, and Y are knaves because their statements are false, and Z is a knight because their statement is true.

The group of six natives, U, V, W, X, Y, and Z, all make statements about how many of them are knights. U says that none of them are knights, which is false. V says that at least three of them are knights, which is also false. W says that at most three of them are knights, which is false. X says that exactly five of them are knights, which is also false. Y says that exactly two of them are knights, and this is false. Finally, Z says that exactly one of them is a knight, and this is true. Therefore, none of U, V, W, X, Y, and Z are knights, but some of them are knaves. V, W, X, and Y are knaves because their statements are false, and Z is a knight because their statement is true.

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The solution for each system of equations is given as follows:

1. (-2,-2).

2. (4,1).

When a system of equations is plotted on graph, the solutions are the intersection points of all the functions that compose the system.

For the first system, the graphs intersect at a x-coordinate of -2 and an y-coordinate of -2, hence the coordinates are given as follows:

(-2,-2).

For the first system, the graphs intersect at a x-coordinate of 4 and an y-coordinate of 1, hence the coordinates are given as follows:

(4,1).

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The complete equation is,

6x + 4x + 5 = 10x+5.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

We have an equation,

6x + __ = 10x+5.

Let the missing number is y.

Then,

6x + y = 10x+5.

y = 10x - 6x + 5

y = 4x + 5

Therefore, the missing term is  4x + 5.

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3) The value of function is,  cos² θ

4) The value of function are,

⇒ cos 3π/2 = - 1

⇒ sin 5π/3 = - √3/2

5) The value of k is, 4.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

3) The function is,

⇒ sin θ cos θ / tan θ

Simplify as;

⇒ sin θ cos θ / (sin θ / cos θ)

⇒ cos² θ

4) The value of function are,

⇒ cos 3π/2 = cos (π + π/2)

                  = - cos (π/2)

                  = - 1

⇒ sin 5π/3 = sin (2π - π/3)

                 = - sin π/3

                 = - √3/2

5) The expression is,

⇒ √(2k² + 17) - x = 0

⇒ √2k² + 17 = x

Square both side,

⇒ 2k² + 17 = x²

Substitute x = 7;

⇒ 2k² + 17 = 7²

⇒ 2k² + 17 = 49

⇒ 2k² = 49 - 17

⇒ 2k² = 32

⇒ k² = 16

⇒ k = 4

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Increasing the compounding interval from annual to daily has a positive impact on the future value of an investment and a negative impact on the present value of an investment.

The compounding interval refers to the frequency at which interest is calculated and added to the balance of an investment. Increasing the compounding interval from annual to daily will impact the future value and present value of an investment.

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a. The probability that die 1 beats die 2 is 1/4\

b. The probability that die 2 beats die 3 is 2/4 or 1/2

c.  The probability that die 3 beats die 1 is 1/4.

Nothing strange occurred because the probabilities found are all based on the number of sides of each die and their values, which followed the expected outcome for any fair dice.

Probability is described as the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

The probability that die 1 beats die 2 is 1/4 because  die 1 has three sides with the value of 3, and die 2 has only one side with a value which is greater than 3. Hence  there is a 1 in 4 chance that the result of rolling die 1 will be greater than the result of rolling die 2.

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The number of lines of symmetry that the flag has is; 2

A line of symmetry is defined as the line that divides a shape or an object into two equal and symmetrical parts.

The given flag represents a rectangle and we know that there are 2 symmetry lines of a rectangle which are from its length and breadth. These two symmetry lines cut the rectangle in two similar halves which are mirror images of each other.

Thus, this flag given will have 2 symmetry lines.

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Answer:

356 i think this is it sorry if its not

Step-by-step explanation:

Answer:

356

Step-by-step explanation:

2 + 2 +2 x2 x2 x2 2x 2 = 356

Answer:

The oldest is 60 years olds.

Step-by-step explanation:

a+b+c+d+e=211

a=3e

b=a-2

c=2e

d=e-3

3e+3e-2+2e+e-3+e-6=211

10e-5=211

211-11=10e

200=10e

e=20

Mean of the set of numbers = 23

Median of the set of numbers = 23

Mode of the set of numbers = 16, 19, 23, 26, 31

The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list. This is what is most often meant by an average. The median is the middle value in a list ordered from smallest to largest. The mode is the most frequently occurring value on the list.

Given numbers,

26, 31, 19, 23, 16

Putting in Ascending order

16, 19, 23, 26, 31

No. of elements N = 5

Mean = (26 + 31 + 19 + 23 + 16)/5

Mean = 115/5

Mean = 23

Since N = 5 (Odd)

Median = (N+1)/2th term

            = (5+1)/2th term

            = 6/2th term

            = 3rd term

            = 23

Every element has same frequency,

Mode = 16, 19, 23, 26, 31

Hence, Mean = 23, Median = 23 and Mode = 16, 19, 23, 26, 31

of the set of the numbers.

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The probability that the interval estimation procedure will generate an interval that does not contain the actual value of the population parameter being estimated is the level of significance.

The probability that the interval estimation procedure will generate an interval that does not contain the actual value of the population parameter being estimated is known as the level of significance. The level of significance (α) is the probability of making a Type I error, which is rejecting the null hypothesis when it is actually true. This is calculated by subtracting the confidence level from 1. For example, if the confidence level is 95%, then the level of significance is 1-0.95 = 0.05. This means there is a 5% chance of making a Type I error.

The confidence level is the probability that the interval will contain the actual value of the population parameter. It is calculated by 1 minus the level of significance. For example, if the level of significance is 0.05, then the confidence level is 1-0.05 = 0.95, which is 95%. This means there is a 95% chance that the interval will contain the actual value of the population parameter.

The confidence coefficient is the width of the interval, which is calculated by subtracting the lower bound from the upper bound of the interval.

The error factor is the difference between the estimated parameter value and the actual parameter value, which is calculated by subtracting the estimated parameter value from the actual parameter value.

The probability that the interval estimation procedure will generate an interval that does not contain the actual value of the population parameter being estimated is the level of significance.

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Graph shows the relationship between miles and kilometers​ so 20 mile = 32.2 km and 64 km= 39.768 mile.

A survey mile is equal to 1609.344 / (1200/3937 5280) (=0.999998) international miles. Before the 1959 international yard and pound agreement, which determined the yard to be precisely 0.9144 meters, the actual length of the land mile varied somewhat across English-speaking nations, yielding a mile of exactly 1,609.344 meters.

we know that :-

1 mile = 1609.344 km

1 km = 0.621 miles

a) 20 miles= 20* 1609.344 km= 32.187km = 32.2km

b) 64km = 64*0.621 miles = 39.744 miles

So, Relationship between miles and kilometers​ so 20 mile = 32.2 km and 64 km= 39.768 mile.

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