Find the exact length of the curve y= 1/2 (eˣ + e⁻ˣ), 0 ≤ x ≤ 2.

Answer:

[see below]

Step-by-step explanation:

Rational Numbers:

Irrational Numbers:

Hope this helps.

Answer:

The answer is (3).

Step-by-step explanation:

Ron and Harry have ages that are consecutive odd integers. The product of their ages is 783. So, the ron's age r is 27.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Ron and harry have ages that are consecutive odd integers. The product of their ages is 783.

r is younger

r + 2 = s

product is 783

783 = rs

s = r +2

783 = r(r+2)

So, the quadratic equation form

783 = r^2 + 2r

0 = r^2 + 2r -783

0 = (r -27)(r +29)

set to zero

r-27 = 0

r = 27

and

r + 29 = 0

r = -29

thus, The age of ron is 27 years old.

Learn more about quadratic equations;

brainly.com/question/13197897

#SPJ4

The description of translation is given below and with this we get the values for a = 1, h = 5 and k = 0

g(x) = x - 8

we know that the parent function is the simplest form of the type of function given:

f(x) = x

now the transformation from the first equation to the second one can be found by finding a, h, and k for each equation.

y = a l x-h l +k

since we can get to factor a 1 out of the absolute value to make the coefficient of x equal to 1:

y = x

y = x - 5

hence with this we can find a, h and k for y = x - 5

we get a = 1

h = 5

k = 0

To learn more about translation, click here:

brainly.com/question/11805053

#SPJ4

Answer:

C

Step-by-step explanation:

The adjacent angle to the left of 9x is 180 - 9x ( straight angle )

180 - 9x and 3x are corresponding angles and are congruent , then

3x = 180 - 9x ( add 9x to both sides )

12x = 180 ( divide both sides by 12 )

x = 15

Then

∠ 1 and 180 - 9x are vertically opposite angles and are congruent, so

∠ 1 = 180 - 9(15) = 180 - 135 = 45° → C

Answer:

CONSIDER THE POINTS (1,4) and (2,7)

\(m = \frac{y1 - y2}{x1 - x2} \\ \)

m=(7-4)/(2-1)

=3/1

m=3x

c=1

y=3x+1

the answer is option A

Answer:

y=3x+1

Step-by-step explanation:

here is your answer

Answer:

15 minutes

Step-by-step explanation:

Divide 12 yards by 4/5 yards.

12 ÷ 4/5 =

12 * 5/4 =

15

Thus, it would take the ant 15 minutes to crawl 12 yards.

Given statement 'the transverse axis is the line joining the two vertices of a hyperbola.'

In this question, we need to complete the statement 'the transverse axis is the line joining the two vertices of an(n) ______.'

We know that a hyperbola is a conic section formed by intersecting a right circular cone with a plane at an angle such that both halves of the cone are intersected.

It is nothing but the set of all points (x,y) in a plane such that the difference of the distances between (x,y) and the foci is a positive constant.

In hyperbola, the transverse axis is a line that passes through the center of the hyperbola and has vertices as its endpoints.

Therefore, the transverse axis is the line joining the two vertices of a hyperbola.

Learn more about hyperbola here:

https://brainly.com/question/28989785

#SPJ4

The domain of the relation in the graph is:

{-2, -1, 0, 2, 5}

A relation maps elements from one set (the domain) into elements from another set (the range).

Such that the domain is represented in the horizontal axis.

In the graph, we can see the points:

{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}

The domain is the set of the first values of these points, then the domain is:

{-2, -1, 0, 2, 5}

The correct option is the first one.

Learn more about domains at:

https://brainly.com/question/1770447

#SPJ1

SUM (from n=0 to ∞) = (-1)^n * (1 / (4n+4))

The given sum can be written using sigma notation as follows:

SUM (from n=0 to ∞) = (-1)^n * (1 / (4n+4))

Here, "SUM" represents the summation, "sigma" is the Greek letter used for the summation notation, "n" is the index of summation, and we are "using" the formula (-1)^n * (1 / (4n+4)) to express the alternating series.

SUM (from n=0 to ∞) = (-1)^n * (1 / (4n+4)).

To learn more about sigma notation visit: brainly.com/question/27737241

#SPJ11

According to the given statement;

The difference of 9 and the quotient of a number f and 6 is 5.

the value of f is = -24

A variable is an alphabet or term that stands in for an unknowable quantity, value, or number. Particularly in the case of algebraic expressions or algebra, the variables are used. As an illustration, the linear equation x+9=4 has the variables x and 9 as constants.

The variable is a quantity that can change or is not fixed. Typically, in algebra, we use the terms "x" and "y" to express an unknown number. However, this is not unique, and we are free to use any alphabet.

According to the given value;

9 - (f÷ 6) = 5

Subtract 9 from both sides.

9 - 9 - (f ÷ 6) = 5 - 9

Simplify.

- (f ÷ 6) = -4

Distribute -1 throughout the parenthesis.

-f ÷ -6 = -4

Multiply both sides by -6.

-f ÷ -6 × -6 = -4 × -6

Simplify.

-f = 24

Divide both sides by -1.

-f ÷ -1 = 24 ÷ -1

Simplify.

f = -24

To know more about Variable, visit;

https://brainly.com/question/14662435

#SPJ9

Answer:

16 minutes

Step-by-step explanation:

First we are going to want to find the area of the window. We then divide that by the amount of area you can wash per minute ( 6 square feet )

So first lets find the area.

We are told that the window is in a shape of a trapezoid.

The area of a trapezoid can be calculated using the formula A = \(\frac{a+b}{2} h\)

Where a and b are the base lengths and h is the height

We are told that the length of the bases are 10 ft and 14ft so a and b = 10 and 14. We are also told that the window has a height of 8 so h = 8 .

We then plug these numbers into the formula to find the area

Recall formula: \(A=\frac{a+b}{2} h\)

a = 10 , b = 14 and h = 8

plug in these values into formula

\(A=\frac{10+14}{2} 8\)

add 10 and 14 to get 24

\(A=\frac{24}{2} 8\)

simplify fraction : 24 / 2 = 12

\(A=(12)(8)\)

multiply 12 and 8 to get 96.

A = 96 square feet.

To find how long it would take to wash the window we divide the total area of the window by the amount of area that can be washed per minute

Total area of window = 96

Area that can be washed per minute = 6

Time it would take to wash the whole window = 96 / 6 = 16 minutes

The histogram of the 200 sample means would be an approximate display of the sampling distribution of means.

In this scenario, random samples of size 30 are taken from the population of duathlon participants. Each sample mean is calculated from the finishing times of the participants in that specific sample. The process is repeated 200 times, resulting in 200 sample means.

The sampling distribution of means refers to the distribution of these sample means. It shows the variation in the sample means that would be expected when repeatedly sampling from the same population.

The Central Limit Theorem states that under certain conditions (such as when the sample size is sufficiently large and the population distribution is not heavily skewed), the sampling distribution of means tends to follow a normal distribution, regardless of the shape of the population distribution. The mean and standard deviation of the sampling distribution of means can be calculated based on the population mean and standard deviation, as well as the sample size.

Therefore, the histogram of the 200 sample means would provide an approximation of the sampling distribution of means, which gives insights into the likely range and variability of the sample means that could be obtained from repeated sampling.

To learn more about histogram

https://brainly.com/question/28170074

#SPJ11

The value that is 2 standard deviations from the mean can be calculated as follows:

2 standard deviations = 2 x 15 = 30

So, the value that is 2 standard deviations from the mean is either 30 points below the mean or 30 points above the mean.

Mean - 30 = 100 - 30 = 70

Mean + 30 = 100 + 30 = 130

Therefore, the value that is 2 standard deviations from the mean is either 70 or 130.

The correct answer is d. 70 or b. 130, depending on whether you are looking for the value that is 2 standard deviations below or above the mean.

To know more about Standard Deviation:

https://brainly.com/question/475676

#SPJ11

Answer:

D

Step-by-step explanation:

vlkewruiiifhklwe

Answer:

hello:

Step-by-step explanation:

If f(x) = -8x - 6 and g(x) = x+8 ,  (f • g) (- 7)= f(g(-7))

but g(-7)=-7+8=1

(f • g) (- 7)= f(1) =-8(1)-6 =-14

Answer:

no answer sorry I only study in class 7

1) Number sense, arithmetic operations, algebra, geometry, data analysis, and probability are some of the topics that are commonly covered in math classes.

The need of developing problem-solving and procedural fluency skills is underlined. To ensure they have a solid basis for future learning, students may also receive training on arithmetic concepts they missed in earlier grades.

2) The use of real-world issues, direct education, cooperative learning, and the use of technology to aid learning are some particular methods of mathematical instruction that are encouraged.

Additionally, emphasis is placed on encouraging a growth mentality and a positive attitude toward mathematics.

3) Direct instruction, visual aids like graphs and diagrams, manipulatives and hands-on activities, scaffolding, and systematic review and practice are some specific techniques used to teach fundamental mathematical instruction.

In order to promote critical thinking and the growth of students' problem-solving abilities, teachers may also employ questioning strategies.

Learn more about mathematics at:

brainly.com/question/929808

#SPJ1

Answer:  600

Step-by-step explanation:

 Let the mass as x.

So,

120% of x = 720

» 120 x/100 = 720

» 6 x / 5 = 720

x = 720×5 / 6

= 120 ×5 = 600 Ans.

helpfully...

brainliest.

Answer:

= 120 ×5 = 600 Ans.

Step-by-step explanation:

The size of the the matrix B if a matrix A is 5x3 and the product AB is 5x7 is B =[3x7].

Two matrices can only be multiplied if the first matrix has the same number of columns as the second matrix has. If the first matrix has dimensions of a x b and the second matrix has dimensions of c x d, then b = c and their product will have dimensions of a x d.

Let A is a 3 x 5 matrix and B is a 5 x 7 matrix

We know that matrix multiplication of A and B is possible if

Number of columns of A = Number of rows of B

Since in the given problem

Number of columns of A = Number of rows of B = 5

So the product is possible

Now the product AB is a matrix of order 3 × 7

Now the order of the product AB is 3 × 7

If a 3 x 5 matrix is multiplied by a 5 x 7 matrix then their product is a matrix of order 3 × 7.

Learn more about Matrix:

https://brainly.com/question/94574

#SPJ4

Answer:

#1

a. Covert % to fraction

b. Whole is 100%, remaining is:

#2

In this problem, 0.22 is a parameter.

Mean is defined as the average of given numbers i.e. sum of all numbers divided by the total number of numbers. The Mean is denoted as m or μ. Standard deviation is the measure which it shows the variation from the mean exists or not. The standard deviation is denoted as σ.

The range of possible values for a variable is known as a parameter. A parametric equation is an equation expressed in terms of parameters. In the equation y = 2x + 1, x is called the parameter. In statistics, a function variable whose variable is sought by means of evidence from the samples is called a parameter.

As per the given question,

⇒ 0.22 is the standard deviation of the random sample which is a measurement. Measurements of populations can be called parameters.

Therefore, the 0.22 value in the problem is called a parameter.

To know more about parameters refer to:

https://brainly.com/question/28175212

#SPJ4

The complete question is

A random sample of 121 bottles of cologne showed an average content of 4 ounces. it is known that the standard deviation of the contents (i.e., of the population) is 0.22 ounces. In this problem, the value 0.22 is

A. a parameter

B. a statistic

C. the margin of error for a confidence interval

D. the average content of colognes in the long run

E. none of the above

Answer:

(x + 12)(x - 3)

Step-by-step explanation:

\( {x}^{2} + 9x = 36 \\ {x}^{2} + 9x - 36 = 0 \\ {x}^{2} + 12x - 3x - 36 = 0 \\ x(x + 12) - 3(x + 12) = 0 \\ (x + 12)(x - 3) = 0\)

Answer:

5 x 3 1/2 x 1 1/2

5 x 7/2 x 3/2 = 26 1/4, in decimal form: 26.25

Multiply across, but first make it all improper fractions.

Answer:

5/8

Step-by-step explanation:

Answer:

C, 5/8

Step-by-step explanation:

140 and 224 obviously have the number 2 as their divisor, so lets divide them by 2.

140 / 2 = 70

224 / 2 = 112

Again, they are both even so we divide by 2.

70 / 2 = 35

112 / 2 = 56

Looking closer, we realize they are both dividable by 7.

35 / 7 = 5

56 / 7 = 8

5/8 is the answer.

The runner's rate in miles per hour is D * 4/3 miles per hour.

Distance is a measure of the physical space between two objects or points. It is the length of the shortest path between two points in space. Distance can be measured in different units, such as meters, kilometers, miles, feet, or inches, depending on the scale of the objects or the purpose of the measurement.

In geometry, the distance between two points in a Euclidean space can be calculated using the Pythagorean theorem or the distance formula. The distance formula is expressed as:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where d is the distance between two points (x1, y1) and (x2, y2) in a two-dimensional plane. This formula can be extended to three dimensions by adding a third term to the equation.

Distance can also be calculated using other methods, such as GPS (Global Positioning System) or by measuring the time it takes for an object to travel from one point to another, using the speed of light or sound.

In everyday life, distance is a fundamental concept used in various contexts, such as navigation, transportation, sports, and communication. It plays a significant role in determining the time and effort required to travel between two points and is often used as a basis for making decisions.

We can use the formula:

rate = distance / time

where distance is the distance traveled by the runner and time is the time taken to travel that distance.

Given that the runner travels 2/3 of the marathon distance in 10 minutes, we can find the total distance of the marathon by dividing the distance traveled by 2/3:

total distance = distance traveled / (2/3) = distance traveled * 3/2

Let's denote the total distance of the marathon as D. Then:

D = distance traveled * 3/2

distance traveled = D * 2/3

We know that the time taken to travel 2/3 of the distance is 10 minutes. Let's convert this to hours:

10 minutes = 10/60 hours = 1/6 hours

Now we can calculate the runner's rate:

rate = distance / time = (D * 2/3) / (1/6) = (D * 4/3) / 1 = D * 4/3

So the runner's rate in miles per hour is D * 4/3 miles per hour.

Note that we don't have a specific value for the total distance D of the marathon, so we cannot give a numerical answer. We can only express the runner's rate in terms of D as:

runner's rate = D * 4/3 miles per hour

To know more about marathon visit:

https://brainly.com/question/30603442

#SPJ1

Answer:

C.369

Step-by-step explanation:

one year is 12 months and he took out 30.75 every month so  

30.75 multiplied by 12 is 369  

its C

Answer:

True

Explanation

Answer:

-1

Step-by-step explanation:

2 – (9 ÷ 3)

divide 9 and 3

2 - 3

subtract 2 from 3 and you get

-1

Answer:

-1

Step-by-step explanation:

Its just the answer.

The stationing of the PVT (point of vertical tangency) for the given values can be calculated as follows:

The given values are: L = 600 ft, XA = 170 + 00, YA = 1000 ft, GA = -3.5%, GB = 0.5%

We can use the following formula to calculate the stationing of the PVT:

X = XA + L/2 - [(YA-YB)/(200(R+PC))]L/2

represents the length from XA to the PVT, and the second part of the formula represents the offset of the PVT from the mid-point of the curve, where R is the radius of the curve and PC is the perpendicular distance from the mid-point to the chord AB.

From the given data, we can calculate the values of R and PC using the following formulas:

R = [(L/2)²+(Δy/2)²]/Δy, and PC = R - √(R²-(L/2)²),

where Δy = (GB-GA)/100.

L = 600 ft

XA = 170 + 00 = 170 ft

YA = 1000 ftGA = -3.5%

GB = 0.5%

Δy = GB - GA = 0.5% - (-3.5%) = 4% = 0.04

R = [(L/2)²+(Δy/2)²]/Δy

= [(600/2)²+(0.04/2)²]/0.04 = 2250 ft

PC = R - √(R²-(L/2)²) = 2250 - √(2250²-300²) = 15.54 ft

X = XA + L/2 - [(YA-YB)/(200(R+PC))]

= 170 + 300 - [(YA-YB)/(200(R+PC))]

= 470 - [(-YA+YB)/(200(R+PC))]

Let's now calculate the value of (-YA+YB): (-YA+YB) = L(GA+GB)/200 = 600(-3.5%+0.5%)/200 = -6 ft

Substituting the values in the above formula, we get:

X = 470 - [-6/(200(2250+15.54))] = 473.928 ft

Therefore, the stationing of the PVT is 473 + 92.8 = 473 + 92' 48"

Answer: 473 + 92' 48"

To learn more about “PVT” refer to the https://brainly.com/question/26154016

#SPJ11

Hannah's debt-to-equity ratio when her liabilities was $30,000 (excluding her mortgage of $100,000 ) and her net worth is $45,000 is 0.75.

Debt-to-equity ratio is a financial ratio that measures the proportion of total liabilities to shareholders' equity. To calculate the debt-to-equity ratio for Hannah, we need to first calculate her total liabilities and shareholders' equity.

We are given that Hannah has liabilities of $30,000 excluding her mortgage of $100,000. Therefore, her total liabilities are $30,000 + $100,000 = $130,000.

We are also given that her net worth is $45,000. The net worth is calculated by subtracting the total liabilities from the total assets. Therefore, the shareholders' equity is $45,000 + $130,000 = $175,000.

Now we can calculate the debt-to-equity ratio by dividing the total liabilities by the shareholders' equity.

Debt-to-equity ratio = Total liabilities / Shareholders' equity = $130,000 / $175,000 = 0.74 (rounded to two decimal places)

Therefore, Hannah's debt-to-equity ratio is 0.74, which is closest to option 0.75.

Learn more about Debt-to-equity ratio here: https://brainly.com/question/27993089

#SPJ11