Use the pair of functions to find f(g(x)) and g(f(x)) . Simplify your answers.



f(x)=sqrt(x)+8 , g(x)=x^2+1


f(g(x))=
g(f(x))=

On solving the provided question the equation of line  segment is [tex]3y = x+11 OR y = 1/3x + 11/3[/tex]

An equation in algebra is a condition on a variable. Only for a certain value of the variable does it satisfy. This indicates that the equation 2x - 5 = 13 can only be met when x = 9. Polynomial equations and linear equations are two significant kinds of equations that are taken into account in algebra. One-variable polynomial equations can be expressed as P(x) = 0, where P is a polynomial and ax + b = 0 is the standard form for linear equations. Here, the variables a and b are used.

Let y=m x + c be the slope intercept form of the equation.

Here, the slope m and the y-intercept c are unknown.

What is known is that this goes through (x 1, y 1) and (x 2, y 2), two coordinate pairs.

Consequently, we have three equations.

[tex]y=mx+c.........1\\ y1=mx1+c....2\\ y2=mx2+c ......3[/tex]

now let's delete m and c using these.

subtracting (2) from (1), we get [tex](y-y1)=m(x-x1) ......(4)[/tex]

and subtracting (2) from (3), we get[tex](y-2-y1)=m(x2-x1) ......(5)[/tex]

[tex]\frac{y-y1}{y2-y1} = \frac{x-x1}{x2-x1} \\\\\frac{y-3}{4-3} = \frac{x+2}{1+2} \\\\y-3 = \frac{x+2}{3}\\ 3y-9 = x+2\\3y = x+11\\OR\\y = 1/3x + 11/3[/tex]

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ø= 20°

Adj = 24

Hyp = x

Cos ø = Adj/Hyp

Hyp = Adj/ Cos ø

x = 24/ cos 20

x= 24/0.9397

x= 25.5 to the nearest tenth

Answer:

3:1

Step-by-step explanation:

divide by 3 both sides

To find the amount of the down payment, we need to multiply the cost of the home by the down payment percentage: $90,000 * 8.8% = $7,920.

This means that the total amount that will need to be borrowed from the bank is $90,000 - $7,920 = $82,080.

The mortgage amount will be $82,080. This is the amount that will need to be borrowed from the bank after the down payment of $7,920 is paid. The down payment is calculated by multiplying the cost of the home by the required down payment percentage: $90,000 * 8.8% = $7,920. The mortgage amount is then calculated by subtracting the down payment from the cost of the home: $90,000 - $7,920 = $82,080.

Positive coefficients show that the event is more probable at that predictor level than it is at the factor's reference level. Positive coefficients show that the event is more likely to occur at the reference level than at that level of the predictor.

Positive coefficients indicate that the event is more likely to occur at that predictor level than it is at the reference level for the factor.

Positive coefficients indicate that the event has a higher probability of happening at the reference level than at the predictor level.

The correlation coefficient (r2) is a statistic that expresses how closely two variables' movements are related to one another.

To determine the linear relationship between two variables, the Pearson product-moment correlation, the most popular correlation coefficient, is used.

However, this correlation value might not necessarily be a reliable indicator of reliance in a non-linear connection.

Hence, Positive coefficients show that the event is more probable at that predictor level than it is at the factor's reference level.

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The acceleration of the ball is 5 ms2.

What is acceleration?

Acceleration is the rate at which an object's velocity with respect to time changes. It is a vector quantity to accelerate (in that they have magnitude and direction). The direction of the net force acting on an object determines the direction of its acceleration.

The acceleration of the car in its present direction of motion is referred to as a linear acceleration (or tangential acceleration in circular motions), and the passengers on board feel a force pressing them back into their seats as a result.

The acceleration that is used to change direction is referred to as radial acceleration (or centripetal acceleration in circular travels), and the reaction that the passengers feel is a centrifugal force.

Therefore, The acceleration of the ball is 5 ms2.

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a) The minimum number of hikers that could have walked between 6 miles and 17 miles is of: 9.

b) The maximum number of hikers that could have walked between 6 miles and 17 miles is of: 19.

The amounts are obtained by the frequency table given in the image, which shows the number of times that each range was observed.

The minimum number in the desired range will be obtained when:

Hence the minimum number is of 9, which is the number of people in the range 10-15.

The maximum number in the desired range will be obtained when:

Then the maximum number is calculate as follows:

2 + 9 + 8 = 19 hikers.

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YAnswer: Yes

Step-by-step explanation: 425 / 5.000

Resultados de traducción

Resultados de traducción

You only have to verify that it is divisible by 2 and by 3. Since it ends in zero (which is an even number) it is divisible by 2. Then it only remains for it to be divisible by 3 and for this the sum of its digits must be a multiple of 3. Therefore, if x is the missing number, we have that 1+3+x+0 must be a multiple of 3. It would suffice, for example, to take x =2 (there are more possibilities as you can see). So one possibility is the number 1320

Answer:

-------------------------------------

Divisibility rule by 6:

The number 13 x 0 is even number as ends with zero and the sum of its  digits is:

The x is between 0 and 9.

Possible values of x to make x + 4 a multiple of 3:

Answer:

40 donuts

10 Coffees

Step-by-step explanation:

d+c=40

4d+6c=180

-4d-4c=-160

+4d +6c +180

2C=20

C=10

d+10=40

d=30

A 90% confidence interval places the true mean normal body temperature between 98.14269 and 98.35577.

library(UsingR)

attach(normtemp)

print(normtemp)

hist(normtemp$temperature)

shapiro.test(normtemp$temperature)

qqnorm(normtemp$temperature)

qqline(normtemp$temperature)

We can observe that the data follows a normal distribution from the histogram and q plot.

The points in the q plot fall on a straight line and correspond to a normal distribution.

P-value = 0.2332, P>0.05, from the Shapiro test

hence, we fail to reject null htpothesis.

On accepting the null hypothesis we get to know that the data follows normal distribution.

The output for the given code will be ,

data: normtemp$temperature

t = 1527.9, df = 129, p-value < 2.2e-16

alternative hypothesis: true mean ≠0

90 percent confidence interval:

98.14269 98.35577

sample estimates:

mean of x

98.24923

Therefore , we can conclude that ,

The true mean normal body temperature is believed to be between 98.14269 and 98.35577 with a 90% confidence interval.

98.6 is not included in the 90% confidence interval.

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Answer:

Area = (60 + n) * 60 = 3600 + 60n

Step-by-step explanation:

The length of the land is 60 + n feet. The area of the land is the product of the length and width, so the equation representing the area of the land is:

Area = (60 + n) * 60 = 3600 + 60n

This equation represents the area of the land in square feet.

Answer: >

i might be wrong tho

Step-by-step explanation:

x=(-12,0)

y=(0,6)

m=6/-12

m=-1/2

slope is positive

m=1/2

y=1/2x+6

shade is to the right

y>1/2x+6

Alcohol consumption is responsible for the interaction effects of this study as alcohol consume is independent variable and sleep deprivation is dependent on it.

An interaction effects express the activity of a variable on the results of a particular research survey. Research study is conducted based on some elements. The elements can be dependent or independent. whenever the activities of independent elements react on large scale over the dependent elements' interaction effects are occurred.

Reaction time means the time required to achieve an expected results from a particular experiment as well as research study.

Let the above study was conducted by researcher to assess the bad result of alcohol consumption on human body. The study had two major components, one is the level of alcohol consumption and the other is how it effects on sleep. Sleep deprivation is increased or decreased depends on the level of alcohol taken by someone. The effects of alcohol on human body cannot be appeared just after it is taken. It has particular reaction time for achieving expected outcome. The reaction time is not similar for each human body. The study also revealed variances of interaction effects on different body.

hence, there is intimate relationship between sleep deprivation and alcohol consumption.

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Alcohol consumption is responsible for the interaction effects of this study as alcohol consumption is the independent variable and sleep deprivation is dependent on it.

What is reaction time?

Reaction time means the time required to achieve expected results from a particular experiment as well as a research study.

Let the above study was conducted by researchers to assess the bad result of alcohol consumption on the human body. The study had two major components, one is the level of alcohol consumption and the other is how it affects sleep. Sleep deprivation is increased or decreased depending on the level of alcohol taken by someone. The effects of alcohol on the human body cannot appear just after it is taken. It has a particular reaction time for achieving the expected outcome. The reaction time is not similar for each human body. The study also revealed variances of interaction effects on different bodies.

hence, there is an intimate relationship between sleep deprivation and alcohol consumption.

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In 720 ways the letters of the word 'SEMESTER' be arranged such that at least two vowels are together.

Arrangement in probability

Given that:

In SEMESTER there are 8 letters.

Which include 3 vowels (E) and 5 consonants (S, M, T , R )

Take 3 vowels as one letter, we have 6 letters

arranged in 6[tex]p_{6}[/tex] = 6! ways E can be taken together in 1! ways

Number of words = 6! × 1!

                             = 6 × 5 × 4 × 3 × 2 × 1

                             = 720 ways

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Answer: [tex]\frac{5}{k}[/tex]

Step-by-step explanation:

        To write an algebraic expression that represents this situation, we need to know that a quotient will involve division.

        We will write the quotient of 5 and a number, k. also written as 5 divided by k, as;

       [tex]\displaystyle \frac{5}{k}[/tex]

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The algebraic expression is - [tex]\frac{5}{k}[/tex]

If one number is divided by another number, the answer obtained is called the quotient.

In mathematics, a number that divides another number is called a divisor.

The number which is to be divided by the divisor is called a dividend.

In arithmetic, if we divide one integer by another, the 'leftover' portion is called the remainder.

In this case, 5 is the dividend, and k is the divisor, which is representing an unknown number.

We can not get an actual number, but we can use an algebraic equation to express the quotient as follows:

The quotient of 5 and k = [tex]\frac{5}{k}[/tex]

The algebraic expression is - [tex]\frac{5}{k}[/tex]

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Answer: 16 hours

Step-by-step explanation:

       We will write a system of equations to help us solve. Let x be equal to the number of hours worked at the college bookstore, and y be equal to the number of hours worked at Papa Gino's.

       First, we will write an equation for the money earned. Then, we will write one for the hours worked.

8.25x + 9.25y = 247

x + y = 28

       Now, we will will substitute the second equation into the first and solve for the hours worked at Papa Gino's last week, equal to y.

x + y = 28 ➜ x = -y + 28

8.25x + 9.25y = 247

8.25(-y + 28) + 9.25y = 247

-8.25y + 231 + 9.25y = 247

y + 231 = 247

y = 16

         Rosemary worked 16 hours at Papa Gino's last week.

C₁₂H₁₂BrO₁N₁ is the molecular formula  that fits the following data A hydrocarbon \left(C_{x} H_{y}\right)(CxHy) with a molecular ion peak at m/z = 66.

An analytical technique used to measure the mass to charge ratio of the ions is known as mass spectrometry. This is one of the best technique used to analyse the structure of a molecule.  It is used in a a lot of applications such as carbon dating, food contamination detection, isotope detection, protein identification etc.

We have given that,

molecular ion at 265 m/z

another ion seen at 267 m/z

their ratio is 1:1

C₁₃H₉Cl₂ON₁ in this in here Cl have two isotopes that are

36 and 37 but   m/z is not equal to 265

in here C₁₂H₁₂BrO₁N₁  Br have  two isotopes

Br-79,  Br-81 and  m/z equals to 256 and 257

so the molecular formula is therefore  C₁₂H₁₂BrO₁N₁

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All of the points along the y-axis are located in the region of the coordinate plane that is equally distant from the coordinates a(-3 2) and b(3, 2).

The x-axis, a horizontal number line, and the y-axis, a vertical number line, cross to create a coordinate plane. The coordinate plane's origin is where the two axes—plural for "axes"—vertically intersect.

Each point on a coordinate plane will have an x coordinate and a y coordinate, which are stated as (x, y). For instance, the coordinate (3,2) has a y-coordinate of 2, an x-coordinate of 3, and a coordinate in between.

Here,

Given: K(3, -2) and (x, 6).

Thus ,distance between points K and L is 10 units.

Thus,

=> 10 = [tex]\sqrt{(3-x)^{2}-(-2-6)^{2} }[/tex]

=> 10 = [tex]\sqrt{9+x^{2} -6x+64\\[/tex]

=> 100 = 73 +[tex]x^{2}[/tex] -6x

=> 27 =[tex]x^{2}[/tex] -6x

=>[tex]x^{2}[/tex]-6x-27=0

=>x(x-9)+3(x-9)

=>x=-3 , x=9

Thus, x comes out to be x =-3.

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The height of the similar solid is equal to 3 / 2 centimeters.

In this problem we find the case of two similar solids. Dimensionally speaking, the volume is equally to the following equivalence:

[V] = [A] × [L]

Where:

The volume is directly proportional to the area (B), in square centimeters, and the height of the solid (h), in centimeters:

V ∝ B · h

V = k · B · h

Where k is the proportionality constant, no unit.

We can eliminate this constant by using the following relationship:

V' / (B' · h') = V / (B · h)

If we know that V' = 150 cm³, B' = 25 cm², h = 18 cm, V = 48 cm³ and B = 24 cm², then the height of the solid is:

(150 cm³) / [(25 cm²) · (18 cm)] = (48 cm³) / [(24 cm²) · h]

1 / 3 = 1 / (2 · h)

2 / 3 = 1 / h

h = 3 / 2 cm

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It moves at a 1.5 m/s speed .

Explanation:

Speed = d/t = 9/6 = 3/2 = 1.5m/s.

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It moves at a 1.5 m/s speed .

Two parametric equations—x=(v0cos)t and y=(v0sin)t+h—determine the motion of a projectile. Initial velocity is denoted by the symbol v0. The angle at which the object is hurled is represented by, and the height to which it is propelled by h.

Every function with a vector value offers a parameterization of a curve. A parameterization of a curve is a set of equations such as x = x (t) and y = y (t) that express the coordinates of a point on the curve in terms of a parameter.

Particle velocity is the speed of an actual or hypothetical particle as it transmits a wave through a medium. A particle's speed is measured in SI in meters per second (m/s).

Speed = d/t = 9/6 = 3/2 = 1.5m/s.

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If n is zero, Player A has one coin and Player B has none. B will always have 0 heads. There is a 50% chance that Player A has one head, and a 50% probability that Player A also has one head.

If they had the same number of coins, they would most likely obtain the same number of heads, and each person has an equal chance of getting more heads than the other player (the chance is less than 1/2).

If we give player A one more coin than player B, player A has a 50% probability of winning (if that extra coin comes out heads) which is the sample space.

There is a 50% probability that the coin will not provide an advantage (it come out tails). As a result, player A has a 50% probability of getting more heads than player B which is the required outcome.

Probability is a branch of mathematics that deals with numerical descriptions of how likely an event or statement is to occur. An event's probability is a number between 0 and 1, where 0 indicates impossibility and 1 represents certainty.

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Using the Standard Normal Table, probabilities are:

1) P(Z < 0.42) = 0.3372

2) P( Z > -1.25) = 0.89443

3) P( Z ≥ 2.13) = 0.1667

A mathematical table for the values of, which are the values of the cumulative distribution function of the normal distribution, is known as a standard normal table. It is also known as the unit normal table or the Z table. The standard normal distribution table is a collection of regions from the standard normal distribution, also referred to as a bell curve, and it shows the size of the region beneath the bell curve and to the left of a particular z-score to illustrate probabilities of occurrence in a specific population.

Given,

Using the Standard Normal Table,

Probabilities are:

1) P(Z < 0.42) = 0.3372

2) P( Z > -1.25) = 0.89443

3) P( Z ≥ 2.13) = 0.1667

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The set of partial derivatives with respect to parameters at each data point.

def calc_jacobian(x, p):

   jacobian = np.zeros([len(x), len(p)])

   for i in range(len(x)):

       for j in range(len(p)):

           jacobian[i][j] = (2 * p[j] * x[i]**j)

   return jacobian

Partial derivatives are a type of derivative in calculus that are used to measure the rate of change of a function with respect to a single independent variable, while holding the other variables constant. They are denoted with a symbol called a partial derivative operator, which is a curved d with a line over it. Partial derivatives are used to calculate derivatives in multivariable functions and to find the maximum or minimum points of a function. Partial derivatives can also be used to analyze the behavior of functions near a point, or to solve equations involving multiple variables.

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Answer:

$12 is the cost of each pair of pants

Step-by-step explanation:

First we need to know the price with no discount first: $11 + $73 = $84
The we take the real price of the pants to divide to the 7 pairs: $84 ÷ 7 = $12

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To change your budget to reflect these new factors, we need to update the budget to reflect the changes in income and expenses. Here is an updated version of the budget, showing the changes:

Income:

• Salary: $650 (increased by $100 due to unexpected raise)

Expenses:

• Rent: $400 (unchanged)

• Food: $200 (unchanged)

• Entertainment: $100 (unchanged)

• Books: $100 (increased by $100 due to unexpected cost)

• Bus pass: $0 (no longer needed due to school program)

Total expenses: $700 (unchanged)

Savings:

• Savings goal: $100 (unchanged)

Total income: $650

Total expenses: $700

Total savings: -$50 (decreased by $50 due to increase in expenses)

As you can see, even with the unexpected raise in income, the overall goal of saving $100 by the end of October is not being met. To reach this goal, you will need to find ways to reduce your expenses or increase your income. Some possible options for doing this might include cutting back on entertainment expenses, finding a cheaper source of books, or looking for additional ways to earn money, such as taking on a part-time job or freelance work. By making these changes to your budget, you can ensure that you are able to meet your savings goal and manage your finances effectively.

The analysis of variance compares the differences between treatments to determine the variance attributed to treatment effects, not the variance within treatments.

An analysis of variance (ANOVA) is a statistical technique used to compare the means of two or more groups. This technique is used to determine the variance attributed to differences between treatments. The variance between treatments is the variance between the group means of the different treatments, while the variance within treatments is the variability of the data within each treatment group. In an ANOVA, only the variance between treatments is considered to be caused by the treatment effect. This is because the within-treatment variance is assumed to be caused by random sampling error, which is independent of the treatment. Thus, in an ANOVA, only the between treatments variance is attributed to treatment effects, while the within-treatment variance is not. This allows the analyst to better understand and explain the differences between treatments.

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Answer- false, true, true, and false

Step-by-step explanation:

No, rectangle is not always a rhombus because in rectangle two opposite sides are equal in length, and all the angles in rectangle is right angled but it is not necessary in rhombus.

All rectangles are squares. False! A square has ALL sides equal, but a rectangle only has opposite sides equal. All trapezoids have only one pair of parallel sides.

A parallelogram is a quadrilateral with 2 pairs of parallel sides. The opposite sides on every rhombus are parallel, so every rhombus is a parallelogram.

If you have a quadrilateral with two pairs of parallel sides, you do not necessarily have a rhombus;

The pedagogical tool to support the development of students' understanding that fractions are numbers and that they expand the number system beyond whole numbers is number line.

What is meant by pedagogical tool?

In math, pedagogical tool refers designed to convey important lessons and allow people to improve their understanding of a problem or undertaking.

Here we need to find the research recommends that teachers use the following pedagogical tool to support the development of students' understanding that fractions are numbers and that they expand the number system beyond whole numbers.

While we looking into the given question, here we need to find the tool that is used to find the development of students' understanding that fractions are numbers and that they expand the number system beyond whole numbers that is none other than number line because it uses the visual representation of the number that gives better understanding of number.

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Answer:

Step-by-step explanation:

28 x 14 equals 392 so the answer is 392

Answer:

They're asking you to plug in the x values for x. for example the first x in the table is "-6" so you will replace the x in 1/3(-6)^2 and the Y answer would be 12.

1/3 x (-6)^2 which is 36.

1/3 x 36= 12.

and you'll basically do that for each value. I hope that helps.