please help with the vertical asymptote and horizontal asymptote

The statement that is NOT true about social changes during adolescence is D.

What is adolescence?

Adolescence is between childhood and adulthood, a stage of growth and development. Any person between the ages of 10 and 19 is considered an adolescent by the World Health Organization (WHO). This age group is included in the WHO definition of young people, which includes those between the ages of 10 and 24.

During adolescence, friendships do become more important and influential.

However, this does not mean that parents can or should lower their expectations of their children.

Adolescence is a time when children are learning important social and emotional skills, and it is important for parents to continue to support and guide their children during this time.

In fact, parents may need to increase their expectations in some areas, such as academic achievement and responsible behavior, in order to help their children develop into successful adults.

Therefore, the last statement is false.

To learn more about adolescence from the given link

https://brainly.com/question/1956818

#SPJ1

The two solutions are: Cot x = [1 + √5] / 2, and Cot x = [1 - √5] / 2.

The relationships between the sides and angles of triangles, as well as the trigonometric functions that characterize those relationships, are the subject of the mathematical discipline of trigonometry. The Greek words "trigonon" (meaning triangle) and "metron" are the origins of the word "trigonometry" (meaning measurement).

Given: [tex]Cot x = Cosec^2 x / Cotx[/tex]

Multiplying both sides by [tex]Cot x,[/tex] we get:

[tex]Cot x * Cot x = Cosec^2 x[/tex]

Using the identity[tex]1 + Cot^2 x = Cosec^2 x[/tex], we can rewrite this as:

[tex]1 + Cot^2 x = Cot x * Cot x[/tex]

Rearranging terms, we get:

[tex]Cot^2 x - Cot x - 1 = 0[/tex]

Now we can solve for Cot x using the quadratic formula:

[tex]Cotx =[/tex] 1 ± [tex]\sqrt{(1 + 4*1*1)} ] / 2[/tex]

Cot x = [1 ± √5] / 2

Therefore, the two solutions are:

Cot x = [1 + √5] / 2, and Cot x = [1 - √5] / 2.

To know more about trigonometry, visit:

https://brainly.com/question/14272510

#SPJ1

The value of x is 50°. Triangles are unquestionably similar but not necessarily congruent if two of their angles are equal.

In a planar construction, an angle is a shape made up of two intersecting rays or lines. The vertex and the two rays, which are frequently referred to as an angle's sides, are the same termini for two rays. Two rays that share a terminal are referred to as the angle's sides and vertices in Euclidean geometry, respectively. Two rays can combine to create angles in the plane in which they are positioned. Moreover, when two planes overlap, angles are created. Dihedral angles are what these are called.

This indicates that although not absolutely equal, the sides of the two triangles are obviously proportional.

The two triangles' respective sides must be equal on at least one side for the sides to be equal.

∠PTQ=∠PSQ

∠PTQ=50°

∠PSQ=50°

Learn more about angles here

https://brainly.com/question/28293784

#SPJ1

Answer:

Rewrite the equation using the logarithmic property loga(b) = loga(c) if and only if b = c:

x2 - 15 = 2x

Move all the terms to one side of the equation:

x2 - 2x - 15 = 0

Use the quadratic formula to solve for x:

x = (-b ± sqrt(b^2 - 4ac)) / 2a, where a = 1, b = -2, and c = -15

x = (-(-2) ± sqrt((-2)^2 - 4(1)(-15))) / 2(1)

x = (2 ± sqrt(64)) / 2

x = 1 ± 4

Potential solutions are x = 5 and x = -3.

Check each potential solution in the original equation to see if it is valid. The logarithm of a negative number is undefined, so x = -3 is an extraneous solution. Therefore, the only valid solution is x = 5.

Plug x = 5 into the original equation to check:

log(5^2 - 15) = log(2(5))

log(10) = log(10)

Both sides are equal, so x = 5 is the correct solution.

Step-by-step explanation:

Answer:

Yup!

Step-by-step explanation:

Where a cannonball is fired into the air with an initial vertical velocity of 128 feet per second.

a) Note that the height of the cannonball each second it was in the air (trajectory) is summarized as follows:

b) The time taken before the cannon ball hit the ground is approximately 8 seconds.

c) The graph is attached accordingly.

Initial vertical velocity is the velocity with which an object is projected upwards or downwards at the beginning of its motion in the vertical direction.

To find the height of the cannonball each second after it is fired, we need to substitute the values of t from 0 to 9 seconds into the given function h = -16t² + 128t + 6.

When t = 0, the cannonball has just been fired, so the initial height is h = -16(0)² + 128(0) + 6 = 6 feet.

When t = 1, we have:

h = -16(1) + 128(1) + 6

h = -16 + 128 + 6
h = 118 feet

So the height of the cannonball after 1 second is 118 feet.

When the above is repeated for all the seconds given on the table, we get the corresponding heights.

The Height - Time relationship is summarized as follows;

So, the heights of the cannonball at each second are

At t = 0 and 8 seconds, the height is 6 feet above the ground.

At t = 1 and 7 second, the height is 118 feet above the ground.

At t = 2 and 6 seconds, the height is 198 feet above the ground.

At t = 3 and 5 seconds, the height is 246 feet above the ground.

At t = 4 seconds, the height is 262 feet above the ground. (The cannonball was highest above the ground at this time.)

Learn more about Initial vertical velocity:
https://brainly.com/question/18965435
#SPJ1

Answer:

Step-by-step explanation: 15 divided by 1/3= 15x3/1= 45/1=45

Answer:

y = -2x - 2

Step-by-step explanation:

To find a line which is perpendicular, the slope must be the opposite reciprocal.

We can rewrite the decimal as a fraction to clear up our equation, 0.5 is a half:

[tex]y=\frac{1}{2}x+2[/tex]

Flip the reciprocal and change the sign, making it [tex]-\frac{2}{1}[/tex]

[tex]y=-2x+2[/tex]

An equation parallel to this shown in the answer selection is:

[tex]y=-2x-2[/tex]

So  H is correct

Answer:

RADIUS CM 2 IN 2 FT 2

20.0 cm 0.03351 2,045 1.183

Step-by-step explanation:

the equation of the quartic polynomial in standard form is [tex]f(x) = x^4 + 12x^3 + 37x^2 + 29x - 60[/tex]

A quadratic equatiοn is a secοnd-degree pοlynοmial equatiοn in οne variable, which can be written in the standard fοrm: [tex]ax^2 + bx + c = 0[/tex], where x is the variable, and a, b, and c are cοnstants. The term "quadratic" cοmes frοm the fact that the highest degree οf the variable in this equatiοn is 2 (οr squared).

If the zerοs οf f(x) are -6, -5, -2, and 1, then the factοrs οf f(x) are:

(x + 6), (x + 5), (x + 2), and (x - 1)

Tο οbtain the standard fοrm οf the quartic pοlynοmial, we need tο expand the prοduct οf these factοrs:

f(x) = (x + 6)(x + 5)(x + 2)(x - 1)

We can expand this using the FOIL methοd οr by using the distributive prοperty repeatedly:

[tex]f(x) = (x^2 + 11x + 30)(x^2 + x - 2)[/tex]

Nοw we can multiply these factοrs using the distributive prοperty:

[tex]f(x) = x^4 + 12x^3 + 37x^2 + 29x - 60[/tex]

Since the leading cοefficient οf f(x) is 1 (as given in the prοblem statement), this is the standard fοrm οf the quartic pοlynοmial:

[tex]f(x) = x^4 + 12x^3 + 37x^2 + 29x - 60[/tex]

To learn more about quadratic equation

https://brainly.com/question/1214333

#SPJ1

We can conclude after answering the presented question that This implies that if you spent $1,000 on a credit card and paid it off after a year, you would owe $180 in interest.

Interest is the amount of money earned or owed on an initial investment or loan in mathematics. Simple or compound interest can be applied. Compound interest is computed on the main amount plus any previously earned interest, whereas simple interest is calculated as a percentage of the original amount. For example, if you invest $100 at a 5% annual simple interest rate, you will earn $5 in interest each year for three years, for a total of $15.

If you spend $1,000 on a credit card with an annual interest rate of 18%, you would pay the following interest after one year:

Principle * Rate * Time = Interest

Suppose the principal is $1,000

Time = 1 year Rate = 18% per year = 0.18

As a result, the interest you would pay is:

$1,000 * 0.18 * 1 = $180 in interest

This implies that if you spent $1,000 on a credit card and paid it off after a year, you would owe $180 in interest.

To know more about interest visit:

https://brainly.com/question/28792777

#SPJ1

Answer:

119.8 degrees

Step-by-step explanation:

While this may be a more complicated route, this is how I found the answer:

The angle above 60.2 (top left) should be equivalent to a, as they are formed from lines parallel to one another and share the other adjacent line. If we then look diagonal from the angle equivalent to a, we see the number 119.8. This is also equivalent because of the "vertical angles theorem".

Hope you pass, good luck!

The two expressions can describe the area of the blue tiles are 4/9 , 44.4%, we have to learn about tiles.

Tiles are often thin, rectangle (rectangular) or square covers made of durable materials like ceramic, stone, metal, baked clay, or even glass.

Rectangle has the 4 sides and 4 angles and each of the angles are right angle. The opposite sides are parallel and equal.

Square has also 4 sides and 4 angles and each of the angles are also right angle as rectangle but its all side are equal.

16 tiles are blue out of 36.

So, blue tiles = 16/36 = 4/9

4/9 * 100 =  44.4 %.

To Learn more about Rectangle, visit:

https://brainly.in/question/12372879

#SPJ1

The two expressions can describe the area of the blue tiles are 4/9 , 44.4%, we have to learn about tiles.

Tiles are often thin, rectangle (rectangular) or square covers made of durable materials like ceramic, stone, metal, baked clay, or even glass.

Rectangle has the 4 sides and 4 angles and each of the angles are right angle. The opposite sides are parallel and equal.

Square has also 4 sides and 4 angles and each of the angles are also right angle as rectangle but its all side are equal.

16 tiles are blue out of 36.

So, blue tiles = 16/36 = 4/9

4/9 * 100 =  44.4 %.

To Learn more about Rectangle, visit:
https://brainly.com/question/2607596
#SPJ1

The probability P(X < 4) is approximately 0.2734 when X has a binomial distribution with n = 7 and p = 0.5.

When X has a binomial distribution with n = 7 and p = 0.5, we can use the cumulative distribution function (CDF) or the formula for the probability mass function (PMF) of the binomial distribution to determine the probability P(X 4) by adding the probabilities for X = 0, 1, 2, and 3.

Binomial CDF usage:

P(X 4) = P(X 3) = binom.cdf (3, n = 7, p = 0.5) 0.2734

Binomial PMF usage:

P(X 4) = P(X = 0), P(X = 1), P(X = 2), and P(X = 3) = binom.pmf(0, n=7, p=0.5), binom.pmf(1, n=7, p=0.5), binom.pmf(2, n=7, p=0.5), and binom.pmf(3, n=7, p=0.5), and binom.pmf(3, n=7, p=0.5) = 0.2734.

Since X has a binomial distribution with n = 7 and p = 0.5, the chance P(X 4) is roughly equal to 0.2734.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ1

The total mass of the books in Kelly's backpack is 2950 grams.

How many grammes are there in one kilogramme?

1000 grammes make up one kilogramme. The amount in kilogrammes must be multiplied by the conversion factor, which is 0.001.

We must add the masses of all 5 volumes to determine the overall weight of the books in Kelly's backpack.

The combined mass of the three books, each weighing 450 grammes, is: 3 x 450 = 1350 grammes.

The combined mass of the two volumes, each weighing 800 grammes, is 2 x 800 grammes.

We sum the weights of all the books to determine the overall mass:

1350 + 1600 = 2950 grammes

The combined weight of Kelly's backpack's books is 2950 grammes.

To know more about Grams visit:

https://brainly.com/question/29127168

#SPJ1

The linear regression equation's residuals are as follows: -1.36, 0.32, 0.01, 0.62, 0.17, -0.24, 0.89, 0.09, 0.18, and -0.7

A residual is the difference between the actual value and the expected value.

In a scatter plot with a line of best fit, the residual would be the vertical distance between the actual value and the line.

The residual's general shape can be described as predicted.

Remainder therefore has a value of -1.

This is the regression equation: y = 0.141x + 0.842

The projected values (y) at the matching x values are then calculated.

We thus have:

y = 0.141 × 13.8 + 0.842 = 2.78

y = 0.141 × 18 + 0.842 = 3.38

y = 0.141 × 16.7 + 0.842 = 3.20

y = 0.141 × 18 + 0.842 = 3.38

y = 0.141 × 0.7 + 0.842 = 0.94

y = 0.141 × 21.9 + 0.842 = 3.93

y = 0.141 × 15.5 + 0.842 = 3.03

y = 0.141 × 9.2 + 0.842 = 2.14

y = 0.141 × 19.5 + 0.842 = 3.59

y = 0.141 × 16.7 + 0.842 = 3.20

Next, the residuals are determined using:

Real value minus predicted value equals residual.

We thus have:

Residual = 1.42 - 2.78 = -1.36

Residual = 3.7 - 3.38 = 0.32

Residual = 3.21 - 3.20 = 0.01

Residual = 4 - 3.38 = 0.62

Residual = 1.11 - 0.94 = 0.17

Residual = 3.69 - 3.93 = -0.24

Residual = 3.92 - 3.03 = 0.89

Residual = 2.23 - 2.14 = 0.09

Residual = 3.77 - 3.59 = 0.18

Residual = 2.5 - 3.20 = -0.7

The linear regression equation's residuals are therefore 1.36, 0.32, 0.01, 0.62, 0.17, -0.24, 0.89, 0.09, 0.18, and -0.7.

To know more about residuals, visit:

https://brainly.com/question/16180255

#SPJ1

Answer:

A) a fair six-sided number cube (by assigning one number to represent a win and the other five numbers to represent a loss)

D) a spinner with 6 equal sections (by assigning one section to represent a win and the other five sections to represent a loss)

Step-by-step explanation:

Answer:

y = 4(9)^x

Step-by-step explanation:

To find the equation of an exponential function in the form y = ab^x that passes through two given points, we need to use the following steps:

Step 1: Find the value of a by plugging in the coordinates of the first point (0,4).

y = ab^x

4 = ab^0

4 = a(1)

a = 4

Step 2: Find the value of b by plugging in the coordinates of the second point (3,2916) and using the value of a we found in Step 1.

y = ab^x

2916 = 4b^3

b^3 = 729

b = 9

Step 3: Write the equation in the form y = ab^x using the values of a and b we found in Steps 1 and 2.

y = 4(9)^x

Therefore, the exponential function in the form of y = ab^x that passes through the points (0,4) and (3,2916) is y = 4(9)^x.

Hope this helps, I'm sorry if it doesn't. If you need more help, ask me! :]

The order from smallest to largest is 0.079 inches, 0.7 inches, 0.7091 inches, 0.762 inches.

What is a sequence?

A Sequence is a set of things (usually numbers) that are in order. Each number in the sequence is called a term (or sometimes "element" or "member"), read Sequences and Series for a more in-depth discussion.

To arrange the given numbers in order from smallest to largest, we can simply compare them to each other and order them accordingly:

0.079 inches < 0.7 inches < 0.7091 inches < 0.762 inches

Therefore, the order from smallest to largest is 0.079 inches, 0.7 inches, 0.7091 inches, 0.762 inches.

To know more about sequence visit:

https://brainly.com/question/12246947

#SPJ1

Answer: B. 135

Step-by-step explanation: 180-45= 135 because all straight angles sum up to 180 (180 rule)

Answer:

5

Step-by-step explanation:

3 1/2 + 1 4/8=

7/2 +12/8=

28/8+12/8=

40/8=

5

Answer:

g(3) = 33

Step-by-step explanation:

g(x) = 12 + 7x                           g(3)

g(3) = 12 + 7(3)

g(3) = 12 + 21

g(3) = 33

Answer:

33

Step-by-step explanation:

g(x) = 12 + 7x

g(3) = 12 + 7 * 3

g(3) = 12 + 21

g(3) = 33

or Desmos

----The File----

Answer:

the lines are //

thales

15/45=x/(x+10)

15(x+10)=45x

15x+150=45x

15x-45x=-150

30x=150

x=150/30 = 5

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Here the the line intersecting the two sides of the triangle is parallel to third side . So here we can use Thale's Theorem , according to which, If a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then the other two sides are divided in the same ratio .

So , here ,

30/45 = 10/(10+x)

Simplify,

2/3 = 10/(10+x)

Cross multiply,

2(10+x) = 3*10

20 + 2x = 30

2x = 30 - 20

2x = 10

x = 5

Hence the value of x is 5 .

The height of the building is approximately 28.85 feet.

What is trigonometric equations ?

Trigonometric equations are equations that involve trigonometric functions such as sine, cosine, tangent, cotangent, secant, and cosecant. These equations are typically solved for an unknown angle or variable using algebraic methods and trigonometric identities. Trigonometric equations are commonly used in various fields such as physics, engineering, and mathematics.

We can use the trigonometric function tangent (tan) to solve this problem. The tangent of an angle is equal to the opposite side divided by the adjacent side. In this case, we can consider the opposite side to be the height of the building and the adjacent side to be the distance from you to the building. Therefore, we can set up the following equation:

tan(30 degrees) = height of building / 50 feet

To solve for the height of the building, we can multiply both sides by 50 feet:

50 feet * tan(30 degrees) = height of building

Using a calculator, we can find that tan(30 degrees) is approximately 0.577. Therefore:

50 feet * 0.577 = 28.85 feet

Therefore, the height of the building is approximately 28.85 feet.

To know more about trigonometric equations visit :

https://brainly.com/question/30710281

#SPJ1

Therefore , the solution of the given problem of equation comes out to be Jermaine's substitution of x = -4 was partly accurate,

A variable term is commonly used in complex algorithms to ensure alignment with the two competing claims. Equations, that are mathematical expressions, are employed to show that various academic numbers are equal. In this case, the normalise method offers b + 6 for utilizing the data from y + 6 rather than just expression splitting 12 into two parts.

Here,

Finding x and y values that meet both equations is necessary to solve a system of equations.

When we change x = -4 into y = 6x + 10, we get the following result:

=> y = 6(-4) + 10

=> y = -24 + 10

=> y = -14

This indicates that the set of equations has one solution, which is (-4, -14). We must still confirm that this solution fits the other equation, though.

The result of y = 6x + 10 with the substitutions x = -4 and y = -14 is:

=> -14 = 6(-4) + 10

=> -14 = -14

The answer (-4, -14) satisfies both equations and is therefore the answer to the system of equations because this equation is correct.

As a result, Jermaine's substitution of x = -4 was partly accurate, but he did not confirm whether the value of y that was obtained met the other equation.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

x = -2

Step-by-step explanation:

5(−2x−1) −5x + 2 = 27

-10x - 5 - 5x + 2 = 27

-15x - 3 = 27

-15x = 30

x = -2

So, the answer is x = -2

Answer:

Let's solve for x:

5(-2x-1) - 5x + 2 = 27

Distribute the 5:

-10x - 5 - 5x + 2 = 27

Combine like terms:

-15x - 3 = 27

Add 3 to both sides:

-15x = 30

Divide by -15:

x = -2

Therefore, the solution is x = -2.

Step-by-step explanation:

The transformed triangle is similar, but not congruent, to triangle ABC.

What is transformation?

In mathematics, a transformation is a function that maps one set of objects, such as points or functions, to another set of objects, while preserving certain properties of the original objects.

The transformation that maps triangle ABC to a similar, but not congruent triangle is:

(x, y) -> (-y + 2, x + 2)

This transformation represents a counterclockwise rotation of 90 degrees around the point (2,-2), followed by a reflection about the line y = x. This transformation preserves the shape of the triangle, but changes its size and orientation. Therefore, the transformed triangle is similar, but not congruent, to triangle ABC.

Hence, The transformed triangle is similar, but not congruent, to triangle ABC.

To learn more about the transformation, visit:

https://brainly.com/question/4289712

#SPJ1

Answer: The answer is 144 cm2

Step-by-step explanation:

The probability of randomly chosen an employee is not between 45 and 54 years old is found as 0.82.

In the given query:

A person is randomly chosen.

Total people = 1000

Number of people not lying between 45 and 54 :

= 1000 - 180

= 820

Thus,

The probability of randomly chosen an employee is not between 45 and 54 years old:

P(Not between 45 to 54) = 820 / 1000

P(Not between 45 to 54) = 0.82

Thus, the probability of randomly choosing an employee is not between 45 and 54 years old is found as 0.82.

know more about the frequency distribution,

https://brainly.com/question/17114842

#SPJ1

the interception point of y- = (0,-90)

An intercept in mathematics is the location on the y-axis through which a line's slope travels. A point on the y-axis where a straight line or a curve crosses it is identified by its y-coordinate. When we enter the solution for a line, y = mx+c, where m is the slope and c is the y-intercept, we get this result. The two types of intercepts are the x-intercept and the y-intercept.

From the question:

[tex]f(x)=6*10\sqrt{12x+81}[/tex]

[tex]f(0)=6(0)-\sqrt{12x+81}[/tex]

[tex]=0-10\sqrt{81}[/tex]

[tex]=0-90=-90[/tex]

interception point of y- = (0,-90)

To know more about intercept:

brainly.com/question/14180189

#SPJ1

complete question