The required sum of the coordinate of T is given as 9.
What is coordinate?Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate the y is called ordinate.
Here,
The coordinates of the endpoints of RS are R(4, -8) and S(25, -1).
Ratio ST / RT = 4 / 3 = n/m
Coordinates of the point are given by section formula,
x = mx₁ + nx₂ / m + n ; y = my₁ + ny₂ / m + n
Substitute the values,
x = 3 × 4 + 25 × 4 / 4 + 3 ; y = 3 × -8 + 25 × -1 / 4 + 3
x = 16 ; -7
Coordinates of T = (x ,y) = (16, -7)
Sum of the coordinate of T = 16 + {-7} = 9
Thus, the required sum of the coordinate of T is given as 9.
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a ladder 26 feet long is leaning against the wall of a house (see the figure below). the base of the ladder is pulled away from the wall at a rate of 3 feet per second. how fast is the top of the ladder moving down the wall when its base is 10 feet from the wall?
The rate at which the top of the ladder is moving down the wall = 9 feet/second.
This is a problem of right triangle similarity.
We can use the Pythagorean theorem to find the height of the ladder, which is the hypotenuse of a right triangle.
We can use the relationship between similar triangles to find the rate at which the top of the ladder is moving down the wall.
Let x be the distance of the base of the ladder from the wall.
We know that the ladder is 26 feet long, so the height of the ladder is the square root of (26^2 - x^2).
We know that the base of the ladder is moving away from the wall at a rate of 3 feet per second.
So, the rate at which the top of the ladder is moving down the wall is (3 feet/second) * (height of ladder / x)
When x = 10 feet, the height of the ladder is the square root of (26^2 - 10^2) = the square root of (676) = 26 feet.
So, the rate at which the top of the ladder is moving down the wall is (3 feet/second) * (26 feet / 10 feet) = 9 feet/second.
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he angles of a triangle haves measures of x°, (2x)°, and (3x)°. What is the value of x?
Responses
60°
30°
40°
50°
x add 2x add 3x equals 6x
6x equals 180 degrees so x equals 180 divdied by 6 which equals 30
x is 30
suppose that the series cn xn has radius of convergence 14 and the series dn xn has radius of convergence 15. what is the radius of convergence of series (cn dn)xn ?
The radius of convergence of series (cn dn)xn is 14.
The radius of convergence of a power series (cn xn) is the distance from the origin to the point beyond which the series no longer converges. It is denoted by R and it's calculated by using the formula:
R = 1/lim sup|cn|^(1/n)
The radius of convergence of a product of two series (cn xn) and (dn xn) is the minimum of the radius of convergence of the individual series.
So, in this case, since the radius of convergence of the series cn xn is 14 and the radius of convergence of the series dn xn is 15, the radius of convergence of the product series (cn dn)xn is
min(14, 15) = 14
Therefore, the radius of convergence of the product series (cn dn)xn is 14.
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Please Help me out with precal
Jamal invests money in an account paying a simple interest of 7% per year. If no money will be added or removed from the investment, what should he multiply his current balance by to find his total balance in a year in one step?
Jamal should multiply his current balance by 1.07 to find his total balance in one year.
What should he multiply his current balance by to find his total balance in a year in one step?
Simple interest is a method of calculating the interest on a loan or deposit where the interest is based solely on the principal (original) amount of the loan or deposit.
To find the total balance in one year, Jamal needs to multiply his current balance by (1+ the interest rate).
Since the interest rate is 7%, the interest rate in decimal form is 0.07
Therefore, he needs to multiply his current balance by (1+0.07) = 1.07
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Find the slope m of the tangent to the curve y = 5/√x at the point where x = a > 0.m = ?
Therefore , the solution of the given problem of slope comes out to be
slope m = 1/5.
Slope explanation.How steep a line is defined by its slope. A gradient overflow is a feature of a gradient-based equation. The slope is calculated by dividing the average horizontal differences (run) between two locations by the vertical difference (rise) between the same two locations. The hill type of an equation is used to represent the problem of a fixed path and is written as y = mx + b. The line's y-intercept lies where the grading is m, a = b, where (0, b). The slope y and y-intercept are the following for the trigonometric functions y = 3x - 7: (0, 7). Where the line's slope is m and b is where the y-intercept is located.
Here,
Given:
Section A: If y=2(x)1/2 If f'(a)=a-1/2 and f'(a)=y'=dy/dx=x-1/2, then m=a-1/2.
For point (x1, y1), section b) point slope y-y1=m(x-x1), x=a, y-4=4-1/2 (x-4)
y=1/2(x-4)+4
y=1/2x-2+4
y=1/2x+2
Y-10=25-1/2 at point (25,10) (x-25)
y=1/5(x-25)+10
y=1/5x-5+10
y=1/5x+5
Therefore , the solution of the given problem of slope comes out to be
slope m = 1/5.
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_______ monetary conversions.
Monetary conversion is essentially the price measure of one currency against another.
What is a money conversion?A conversion rate is the ratio between two currencies, most commonly used in foreign exchange markets, which designates how much of one currency is needed to exchange for the equivalent value of another currency. Conversion rates fluctuate regularly for all currencies traded in forex markets.
Given here: monetary conversion
Customers exchange their native currency for the currency of the country they are visiting. On the other hand, currency conversions are the process of converting prices to match the customer's native currency.
For example: Suppose you have 40 cents, how many cents would you need to make one dollar!
You can understand this through the following conversion. Since, $1 = 100¢, therefore, we subtract 40 cents from 100 cents. That is 100 cents – 40 cents = 60 cents. Since you already have 40¢, you would need 60¢ more to make it a dollar. This is how we can express 60 cents with different coins.
Hence, Monetary conversion is essentially the price measure of one currency against another.
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Directions: Use the Law of Sines to find each missing side or angle. Round to the nearest tenth.
Answer:
Below
Step-by-step explanation:
sin (91) / 30 = sin x / 17
arcsin (17 * sin (91) / 30 ) = x = 34.5 °
sin (119) / 45 = sin (x) / 20
20 sin (119)/45 = sin x
x = arcsin ( 20 sin (119) / 45) = 22.9°
Jan 27, 1:02:50 AM
?
If f(x) = 4x^3+ 1, then what is the remainder when f(x) is divided by - 5?
To obtain the remainder, we just divide the number by another number with its multiples, and we get -19.
What is remainder?The "leftover" amount from a calculation is referred to as the "remainder" in mathematics. When dividing two integers to create an integer quotient, the residual is the integer that is "left over." The amount that remains after division is known as the Remainder. The result of division is a value if a number (dividend) cannot be divided entirely by another number (divisor).The remainder is what is known as this amount. 10 cannot be divided by 3 perfectly, for instance.It might either be higher or lower than the quotient. For instance, the remaining is six when the number seven is divided by 41, leaving five as the quotient.f(x) = 4X x 3 + 1,
f(-5) = 4(-5) x + 1
f(-5) = -20 + 1
f(-5) = -19.
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A fuel pump at a gasoline station doesn't always dispense the exact amount displayed on the meter. When the meter reads 1.000\text{ L}1.000 L1, point, 000, start text, space, L, end text, the amount of fuel a certain pump dispenses is normally distributed with a mean of 1\text{ L}1 L1, start text, space, L, end text and standard deviation of 0.05\text{ L}0.05 L0, point, 05, start text, space, L, end text. Let XXX represent the amount dispensed in a random trial when the meter reads 1.000\text{ L}1.000 L1, point, 000, start text, space, L, end text. Find P(0.9
On solving the provided question, we can say that by probability the value of P(x > 1.05) is 0.16
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
The value of P(x > 1.05) is 0.16
н = 0.05 standard deviation
α = 1.0000 mean
Ψ = sample reading
z-score
z = x - u/p
z = 1.05 - 1 / 0.05
soz
P(x>1.05) = 0.1587
P(x>1.05) = 0.16
Hence, the value of P(x > 1.05) is 0.16
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answer please i need it soon
a. Use what you’ve learned in this unit to model the population of Western Lowland Gorillas after 5, 10 and 20 years. Let y equal the population of the gorillas and x represent the number of years since 2022. Show your work.
b. Use the information calculated in Step A to create a table showing the Gorilla population after 5, 10 and 20 years.
c. Explain why the table shows exponential decay. Summarize how scientists can use exponential decay to predict population changes in endangered species. Summarize your answer in 1-2 paragraphs.
Answer:
Step-by-step explanation:
a. To model the population of Western Lowland Gorillas after 5, 10 and 20 years, we can use an exponential decay model. This model assumes that the population of the gorillas is decreasing at a constant rate over time.
Let y equal the population of the gorillas and x represent the number of years since 2022.
The exponential decay model is represented by the equation:
y = a*e^(-rt)
Where a is the initial population, r is the decay rate and t is the number of years.
If we assume that the initial population of gorillas in 2022 is 1000, the decay rate is 0.1, and we can calculate the population of gorillas after 5, 10, and 20 years.
For 5 years after 2022:
y = 1000e^(-0.15) = 810 gorillas
For 10 years after 2022:
y = 1000e^(-0.110) = 648 gorillas
For 20 years after 2022:
y = 1000e^(-0.120) = 404 gorillas
b. Table:
Years Gorilla Population
5 810
10 648
20 404
c. The table shows that the population of gorillas is decreasing over time, which is an example of exponential decay. This decrease is consistent with the exponential decay model which we used. Exponential decay models are often used to predict population changes in endangered species as they assume a constant rate of decrease in population. Scientists can use this model to predict future populations, as well as estimate the rate of population decline. Based on this information, conservation efforts can be better planned, and resources can be allocated more effectively to prevent the extinction of endangered species.
Which is the biggest difference between an installment loan and revolving credit?
a. Installment loans can be either unsecured or secured.
b. Installment loans have a fixed term and monthly payment, revolving credit is a credit line that is paid off and used again.
c. Qualification for revolving credit does not require credit scores and credit reports.
d. Revolving credit is always unsecured.
The biggest difference between an installment loan and revolving credit is that Installment loans have a fixed term and monthly payment, revolving credit is a credit line that is paid off and used again. That is option B.
What is an installment loan?An installment loan is defined as the type of loan an individual obtains from the bank which can be paid back in installments.
Revolving credit is defined as the type of loan that allows the borrower to spend the money they have borrowed, repay it, and borrow again as needed.
Therefore, the difference between an installment loan and revolving credit is that Installment loans have a fixed term and monthly payment, revolving credit is a credit line that is paid off and used again.
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Suppose that Boris' blood pressure can be modeled by the following function.
p(t)=85+18 sin (73mt)
Boris' blood pressure increases each time his heart beats, and it decreases as his heart rests in between beats. In this equation, p (t) is the blood pressure in
mmHg (millimeters of mercury), and t is the time in minutes.
Find the following. If necessary, round to the nearest hundredth.
Answer:
Suppose that Boris' blood pressure can be modeled by the following function.
p(t)=85+18 sin (73mt)
Boris' blood pressure increases each time his heart beats, and it decreases as his heart rests in between beats. In this equation, p (t) is the blood pressure in
mmHg (millimeters of mercury), and t is the time in minutes.
Find the following. If necessary, round to the nearest hundredth.
Find the base of a triangle with
height 4cm and area 24cm²
Answer:
Area = 1/2 *base * height
24 = 1/2 * b* 4
24 = 2b
b= 12cm
a property has a back yard 125 x 150 feet and a side yard of 195 x 25 feet. what is the combined square footage of the side and back yard?
a property has a back yard 125 x 150 feet and a side yard of 195 x 25 feet. then 23625 is the combined square footage of the side and back yard
125*150 and 195*25
total 23625
The area covered with grass, in square feet, is the area of the shape of the yard.
What is the Area of a Yard?
The area of a yard can be calculated by determining the shape of the yard, and using the appropriate area formula of the shape to find the area of the yard.
Image of the yard is missing. However, assuming the yard is a rectangular shape with a dimension of 10 ft by 6 ft, therefore:
The square feet of grass Russell has = area of rectangle = (10)(6) = 60 ft²
In summary, the area covered with grass, in square feeet, is the area of the shape of the yard.
a property has a back yard 125 x 150 feet and a side yard of 195 x 25 feet. then 23625 is the combined square footage of the side and back yard
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QUICK PLEAAASEEEEE HELPPP!
Given the expression: 4x2 + 18x − 10
Part A: What is the greatest common factor? Explain how to find it. (3 points)
Part B: Factor the expression completely. Show all necessary steps. (5 points)
Part C: Check your factoring from Part B by multiplying. Show all necessary steps. (2 points)
Answer:
Part A: 8+10 = 18.
Part B: (x -5)(x+0.5)
Step-by-step explanation:
Part A: to find the greatest common factor of the expression, multiply 4 x -10 to get -40. Then, find the factors of -40 which add up to 18. These factors are 8+10. You may need to tweak around with the signs of the numbers.
Part B:you could just put the equation in a graphing calculator or use the quadratic formula. But, re-write the middle with -5 and 0.5, like this: 4x^2-5x+0.5x-10. Then do 4x(x-0.5) + (5x +10). After that, rewrite the equation again like this: (4x-0.5)(5X+10)
Answer:
Part A: the common factor is 2 because it is the most occurring.
Part B: 2(2x-1)(x+5)
Part C:
(2x2x-2)(x+5)
(4x-2)(x+5)
4x+4x5x-2x-2x5
4x1+1+4x5x-2x-10
4x2+20x-2x-10
=4x2+18x-10
Why is 3 root not a polynomial?
A mathematical expression with coefficients and variables is called a polynomial. The polynomial 3 root is not one because of the non-integer, irrational exponent (the root of 3).
A mathematical expression with coefficients and variables is called a polynomial. A nxn + a (n-1)x(n-1) +... + a 2x2 + a 1x + a 0 can be used to represent the formula, where n is an integer and an I are constants. The polynomial 3 root is not one because of the non-integer, irrational exponent (the root of 3). The polynomial 3(1/2) cannot be one since the exponent (1/2) is not an integer. As a result, 3 root cannot be expressed as a polynomial.
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Find a second equation for the system so it has infinitely many solutions. Simplify fractions and write in the form a/b
Answer: [tex]4y=-3x+16[/tex]
Step-by-step explanation:
For there to be infinitely many solutions, the equations must represent the same graph.
The points [tex](0,4)[/tex] and [tex](4,1)[/tex] lie on the line. So, the slope is [tex]\frac{4-1}{0-4}=-\frac{3}{4}[/tex]. As the [tex]y[/tex]-intercept is [tex](0,4)[/tex], the equation is [tex]y=-\frac{3}{4}x+4[/tex].
Multiplying both sides by [tex]4[/tex] yields [tex]4y=-3x+16[/tex].
Determine the equation of the line in the form y=mx+b that is PARALLEL to each line and passes through the given point.
x=0 passing through (4,5)
The equation of the line that passes through (4, 5) and is parallel to x = 0 is expressed as: x = 4.
What is the Equation of Two Vertical Lines that are Parallel to each other?Two vertical lines that are parallel to each other have a slope that is undefined because it has no y-intercept and the denominator in the slope formula is zero when calculated.
The equation of a vertical line is expressed as x = b, where b is where the line crosses the x-axis.
Given the equation of a line has x = 0, it means it is a vertical line, therefore, its slope is undefined.
Therefore, the line that is parallel to x = 0 will be undefined. Since the line passes through the point (4, 5), the equation of the line will be written by substituting b = 4 into x = b:
x = 4.
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Help me please yall id appreciate it
Answer:
∠ IMN = 70°
Step-by-step explanation:
∠ KIM = ∠ JIL ( vertically opposite angles ), that is
x + y = 102 → (1)
∠ IMN = 3x - 26 ( vertically opposite angles ) , that is
y = 3x - 26 ← substitute into (1)
x + 3x - 26 = 102
4x - 26 = 102 ( add 26 to both sides )
4x = 128 ( divide both sides by 4 )
x = 32
Then
∠ IMN = y = 3x - 26 = 3(32) - 26 = 96 - 26 = 70°
Answer:
m∠IMN = 70°--------------------------
Set up equations for the vertical angles:
x + y = 1023x - 26 = yRewrite the second equation:
3x - y = 26Add up this with the first equation:
x + y + 3x - y = 102 + 264x = 128x = 128/4x = 32Find y:
y + 32 = 102y = 102 - 32y = 70The angle IMN is same as y, so its measure is 70°.
Match the concept to the correct description. Sample Question content area bottom Part 1 Choose the correct answer below. A. A sample is a list of items in the population. B. A sample is a characteristic of a population. C. A sample is a comprehensive study of every item. D. A sample is the result if a respondent chooses not to answer questions. E. A sample is a subset of a larger collection of items. F. A sample is a complete collection of items desired to be studied.
A sample is a representative sample of the a population which serves as an accurate representation of the whole group.
Sample: Is it a subset?A sample is a group of units chosen to represent all the individuals in the population. Because just a portion of the population was counted, it is only a partial enumeration. To estimate the features for the total population of interest, data from of the meet the expected is used.
What occurs when a sample is too big?Even when they are clinically inconsequential, tiny differences have a tendency to become statistically significant differences in very large samples. Because of this, therapy decisions may be unsuccessful for both researchers and doctors.
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When Arjun makes hot cocoa, he adds 20\text{ mL}20 mL20, start text, space, m, L, end text of chocolate syrup for every 90\,\text{mL}90mL90, start text, m, L, end text of hot water. Arjun's brother, Eli, adds 45\text{ mL}45 mL45, start text, space, m, L, end text of chocolate syrup for every 180\,\text{mL}180mL180, start text, m, L, end text ounces of hot water.
Which hot cocoa is more chocolatey?
Choose 1 answer:
(Choice A)
A
Arjun's hot cocoa
(Choice B)
B
Eli's hot cocoa
(Choice C)
C
The two cocoas are equally chocolatey
On solving the provided question, we can say that from percentage Eli's hot cocoa has more chocolate flavor because his chocolate percentage is higher.
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
proportion of chocolate in Arjun's beverage == 20 X 100/90 = 22.22%
Eli's beverage contains the following amount of chocolate:= 45/180 X 100 = 25
Eli's hot cocoa has more chocolate flavor because his chocolate percentage is higher.
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An amount of $1,000 is deposited into a bank account that pays 4% annual interest. What would be the bank account balance after 5 years? Use A= P (1 + r/n)nt
The account balance in the bank after 5 years is $1,216.65.
How to solve compound interest questions?An amount of $1,000 is deposited into a bank account that pays 4% annual interest. The amount in the bank account after 5 years can be calculated as follows:
Therefore,
[tex]A = p(1 + \frac{r}{n} )^{nt}[/tex]
where
p = principalr = raten = number of timest = timeTherefore,
p = 1000 dollars
4 = 4 % = 4 / 100 = 0.04
t = 5 years
n = 1
Therefore,
A = 1000(1 + 0.04/1)¹ˣ⁵
A = 1,000(1 + 0.04)⁵
Therefore,
A = $1,216.65
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Give me a list of integers
Answer: why is the question?
Step-by-step explanation: also the integer is the whole number whether if its negative or positive number e.g. -12 or 5
Integers = {...,−4, −3, −2, −1, 0, 1, 2, 3, 4, ... }
Negative Integers = { ..., −4, −3, −2, −1 }
Positive Integers = { 1, 2, 3, 4, ... }
hope it helps<3researcher wishes to compare the effects of two fertilizers on the yield of soybeans. she has 20 plots of land available for the experiment, and she decides to use a matched pairs design with 10 pairs of plots. to carry out the random assignment for this design, the researcher should
The correct option is option b) subjectively divide the 20 plots into 10 pairs (making the plots within a pair as similar as possible) and then, for each pair, flip a coin to assign the fertilizers to the 2 plots.
A sort of probability called subjective probability is one that is based on a person's subjective assessment or personal knowledge of the likelihood of a particular result. It doesn't use facts or formal computations; instead, it merely includes the subject's ideas and prior experience.
A subjective likelihood varies from person to person and is not based on previous facts or market data. In other words, it is not founded on reality but rather is the result of an individual's opinion.
In the majority of probability theories, quantifiable data is evaluated to ascertain the likelihood of an event occurring. However, subjective probability lacks a formal calculation, is influenced by human ideas, and is not based on quantitative data.
Therefore, The correct option is option b) subjectively divide the 20 plots into 10 pairs (making the plots within a pair as similar as possible) and then, for each pair, flip a coin to assign the fertilizers to the 2 plots.
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true/false. A large container is full of ball bearings with mean diameter 2.5003 centimeters (cm). This is within the specifications for acceptance of the container by the purchaser. By chance, an inspector chooses 100 bearings from the container that have mean diameter 2.5009 cm. Because this is outside the specified limits, the container is mistakenly rejected.
The answer is False because It is possible that the true mean diameter of all the bearings in the container is still within the specified limits, even though the sample mean of 100 bearings is outside the specified limits
The statement that "an inspector chooses 100 bearings from the container that have mean diameter 2.5009 cm. Because this is outside the specified limits, the container is mistakenly rejected" is not accurate. The mean diameter of 2.5009 cm is calculated from a sample of 100 bearings, and it is only an estimate of the true mean diameter of all the bearings in the container. It is possible that the true mean diameter of all the bearings in the container is still within the specified limits, even though the sample mean of 100 bearings is outside the specified limits.
In order to make a decision about whether to reject or accept the container, the inspector should use statistical techniques that take into account the sample size and the level of precision required.
It's also important to note that the tolerance of 0.0006 cm is a very small margin, and it's likely that the manufacturing process can't achieve such a precision. The inspector should consider if the sample size and the precision required are aligned with the manufacturing process.
Therefore, The answer is False because It is possible that the true mean diameter of all the bearings in the container is still within the specified limits, even though the sample mean of 100 bearings is outside the specified limits.
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what do you notice about the ratio of the leading coefficients and the equation of the horizontal asymptote?
The ratio of the leading coefficients and the equation of the horizontal asymptote is degree of numerator and denominator is equal.
The term coefficients in math is defined as the coefficient of the term of highest degree in a polynomial.
Here we have given that the ratio of the leading coefficients and the equation of the horizontal asymptote.
The term horizontal asymptote is known as a horizontal line y = b where the graph approaches the line as the inputs approach ∞ or –∞.
As we all know that if the degree of the numerator is equal to the degree of the denominator, then the horizontal asymptote is equal to the ratio of the leading coefficients.
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Homework Help please for Algebra, the math problem is in the picture below
The difference quotient of quadratic equation f(x) = 5 · x² - 5 · x - 6 is equal to r = 10 · x + 5 · h.
How to find the difference quotient of a quadratic equation
Herein we have the quadratic equation f(x) = 5 · x² - 5 · x - 6, from which we must determine the difference quotient, defined below as:
r = [f(x + h) - f(x)] / h
Where:
h - Differencef(x) - Function evaluated at x.f(x + h) - Function evaluated at x + h.First, substitute on each component of numerator of difference quotient:
f(x) = 5 · x² - 5 · x - 6
f(x + h) = 5 · (x + h)² - 5 · (x + h) - 6
f(x + h) = 5 · (x² + 2 · h · x + h²) - 5 · (x + h) - 6
f(x + h) = 5 · x² + (10 · h + 5) · x + (5 · h² - 6)
Second, substitute on difference quotient:
r = [f(x + h) - f(x)] / h
r = [[5 · x² + (10 · h + 5) · x + (5 · h² - 6)] - (5 · x² - 5 · x - 6)] / h
r = (10 · h · x + 5 · h²) / h
r = 10 · x + 5 · h
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Consider the following graph. ei e2 es a e3 с b e4 (FIGURE) (a) How many paths are there from a to c? (b) How many trails are there from a to c? (c) How many walks are there from a to c?
All three parts of the given problem regarding trails, paths and walks have been solved below.
A path is defined as a way in which we can traverse the graph such that neither vertices nor the edges are repeated. In the given graph we can see that for going from a to c there are 4 ways that satisfy the condition of a path. A Trail is an open walk in which no edge is repeated but the vertex can be repeated. So, in the given graph we can see that there are 3!(4) ways in which we can go from a to b and then c and 4 paths in which we can go directly from a to c.
The walk is a sequence of vertices and edges of a graph that can be closed if we come to the same point after traversing the graph or open if we go from one point to another. In the given graph since we go from a point to c point the walk is open but the length of edges of the walk is not defined so if we take the no. of edge length to be 4
there can be 44 ways
so,
number of paths from a to c = 4
number of trails from a to c = 4+3!(4)= 28
number of paths from a to c = 4+3!(4)+2!(6)+1!(4)= 44
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Determine the value of x.
Answer:
Step-by-step explanation:
Use tan(x) = opposite side/adjacent side
x = 74, opposite side = 16, adjacent side = x
tan(74) = 16/x
x = 16/tan(74)
tan(74) = 3.4874
16/3.4874 = 4.5879
x = 4.5879
