The required slope of the line is -1/4 which passes through points (1,-1) and (5,-2).
What is the slope of the line?The slope of the line is defined as the angle of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
Given,
Let
x₁ = 1 , y₁ = -1
x₂ = 5, y₂ = -2
∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )
Substitute values in the formula, and we get
m = (-2 - (-1))/(5 - 1)
m = (-2 + 1)/(4)
m = -1/4
Thus, the required slope of the line is -1/4.
Learn more about the Slope of the Line here:
brainly.com/question/14511992
#SPJ1
The diameter of a circle is 18 ft. Find the
circumference
to the nearest tenth.
Answer:
Step-by-step explanation:
56.6
Another pond has an algae bloom that is also decreasing exponentially. The area of this
bloom in square meters is given by the function B(d) = 100 27, where d is days since
the first measurement of the bloom. Which of the two algae blooms was larger initially?
Which is decreasing more quickly? Explain how you know.
1. The algae blooms was larger initially is the first algae.
2. The first algae bloom is decreasing more quickly than the second algae bloom.
Math problems errors1. To determine which algae bloom was larger initially, we can compare the values of the functions at d=0.
For the first algae bloom, we have A(0) = 200.
For the second algae bloom, we have B(0) = 100*27⁰ = 100.
Therefore, the first algae bloom was larger initially.
2. To determine which algae bloom is decreasing more quickly, we can compare the rates of decrease of the two functions. The rate of decrease is given by the derivative of the function, which tells us how fast the area is changing with respect to time.
For the first algae bloom, we have A'(t) = -20e^(-0.2t).
For the second algae bloom, we have B'(d) = -100*27^(-1)d.
To compare these rates of decrease, we can evaluate them at the same point in time or days. Let's evaluate them at d=1, which means one day has passed since the first measurement.
For the first algae bloom, we have A'(1) = -20e^(-0.2) ≈ -15.24.
For the second algae bloom, we have B'(1) = -100*27^(-1) ≈ -3.70.
Therefore, we can see that the first algae bloom is decreasing more quickly than the second algae bloom. This is because the rate of decrease of the first bloom is more negative than the rate of decrease of the second bloom.
Learn more about Math problems errors here:
https://brainly.com/question/14845011
#SPJ1
find the coordinate of the turning point of the equation if Y=
[tex]4x {?}^{2} + 27x[/tex]
The turning points of the given equation are:
(3, 27 + 1/45) and (-3, 27 + 1/45), and (4, 27 + 4/243) and (-4, 27 + 4/243).
How did we get the values?The turning point of a parabolic equation in the form of y = ax^2 + bx + c can be found by setting the derivative equal to zero and solving for x. The derivative of the given equation y = 4/(4x^2 + 27x + 27) + 27 is:
dy/dx = -16x/(4x^2 + 27x + 27)^2 + 27
Setting the derivative equal to zero, we can solve for x:
-16x/(4x^2 + 27x + 27)^2 + 27 = 0
-16x = (4x^2 + 27x + 27)^2 - 27 * (4x^2 + 27x + 27)
-16x = 16x^4 + 216x^3 + 1044x^2 + 729x + 729 - 108x^2 - 729x - 729
8x^4 - 288x^3 - 336x^2 = 0
x = ±3, ±4
For these values of x, we can find the corresponding y-values using the original equation:
y = 4/(4x^2 + 27x + 27) + 27
At x = 3, y = 4/(4 * 9 + 27 * 3 + 27) + 27 = 4/180 + 27 = 27 + 1/45
At x = -3, y = 4/(4 * 9 + 27 * -3 + 27) + 27 = 4/180 + 27 = 27 + 1/45
At x = 4, y = 4/(4 * 16 + 27 * 4 + 27) + 27 = 4/243 + 27 = 27 + 4/243
At x = -4, y = 4/(4 * 16 + 27 * -4 + 27) + 27 = 4/243 + 27 = 27 + 4/243
So, the turning points of the given equation are:
(3, 27 + 1/45) and (-3, 27 + 1/45), and (4, 27 + 4/243) and (-4, 27 + 4/243).
learn more about turning point of a parabolic equation: https://brainly.com/question/29116024
#SPJ1
An environmentalist wants to find out the fraction of oil tankers that have spills each month. Step 1 of 2 : Suppose a sample of 563 tankers is drawn. Of these ships, 445 did not have spills. Using the data, estimate the proportion of oil tankers that had spills. Enter your answer as a fraction or a decimal number rounded to three decimal places.
The proportion of oil tankers that had spills is:
1 - (445/563) = 0.208
Rounded to three decimal places, the answer is 0.208. Alternatively, this can be expressed as the fraction 52/253.
True or False? the standard deviation s is a useful measure of a characteristic of a distribution of data values.
The statement about the standard deviation that is false is -
a. The standard deviation can never be 0.
What is standard deviation?
The standard deviation is a measure of variance from the mean that includes spread, dispersion, and spread. The standard deviation displays a "typical" deviation from the mean. It is a well-liked measure of variability because it retains the original units of measurement from the data set.
When all of the observations are identical, the standard deviation can be zero
(a). This is due to the fact that if all of the observations are identical, their mean will be the observation itself, resulting in a standard deviation of 0.
As a result, the assertion is untrue.
(b) The deviations of each observation are indeed calculated from the average, which is the measure of the centre.
As a result, the assertion is accurate.
(c) The standard deviation is given by:
[tex]\frac{1}{n}E(X_i-X')^2[/tex]
So, as the individual data points or data observations get farther away from the mean, the term [tex](X_i-X')^2[/tex]keeps becoming larger which causes the overall value of the standard deviation to be large.
Therefore, the given statement is true.
(d)
The standard deviation measures the spread of the data around the mean.
This is the basic definition of the standard deviation itself.
Therefore, the given statement is true.
(e)
When an outlier is taken into account, the difference between the observation and mean value will be greater, and the square term will intensify the term's value even more. The standard deviation will rise dramatically as a result.
To learn more about standard deviation from the given link
https://brainly.com/question/12402189
#SPJ4
Complete question:
The standard deviation is a useful measure of a characteristic of a distribution of data values. Which of the following statements about the standard deviation is false?
a. The standard deviation can never be 0.
b. The standard deviation is appropriate as a measure of spread when the mean is chosen as the measure of center.
c. As the data values get farther away from the mean, the standard deviation becomes larger.
d. The standard deviation measures the spread of the data around the mean.
e. The standard deviation can be made very large by an outlier.
Let theta equals negative 11 times pi over 4 period
Part A: What is a coterminal angle of θ such that 0 ≤ θ ≤ 2π? (5 points)
Part B: What are the exact values of all six trigonometric functions evaluated at θ? (10 points)
A coterminal angle of θ such that 0 ≤ θ ≤ 2π is 3π/4
How to find the coterminal angleA. A coterminal angle of θ such that 0 ≤ theta ≤ 2π is
= theta + 2π
= -11π/4 + 2π
= 3π/4.
B. The exact values of the six trigonometric functions evaluated at θ are as follows:
sin(θ) = sin(-11π/4) = -√2/2
cosec (θ) = cosec (-11π/4) = -2/√2
cos(θ) = cos(-11π/4) = -√2/2
sec (θ) = sec (-11π/4) = -√2/2
tan(θ) = tan(-11π) = 1
cotan (θ) = cotan (-11π) = 1
Learn more on conterminal angles at:
#SPJ1
Thomas has $59 in his bank account and deposits $57 per month into his account. Christian has $15 and deposits $79 per month into his account.
Enter the number of months it will take for both Thomas and Christian to have the same amount of money in their accounts.
Let's start by setting up an equation to represent the situation:
59 + 57x = 15 + 79x
where x is the number of months it will take for both Thomas and Christian to have the same amount of money in their accounts.
Simplifying this equation, we get:
64x = 44
Dividing both sides by 64, we get:
x = 0.6875
So it will take approximately 0.6875 months for Thomas and Christian to have the same amount of money in their accounts. However, since time is measured in months, we cannot have a fraction of a month. Therefore, we round up the result to the nearest whole month and conclude that it will take 1 month for both Thomas and Christian to have the same amount of money in their accounts.
$580 is invested for two years at a rate of 9% per year, compounding annually. complete the table below to determine the final value of the investment, roudning your answers to the nearest cent.
Answer:
Year | Rate | Interest (9%) | Principal Invested | Final Value
1 | 9% | 52.20 | 580.00 | 632.20
2 | 9% | 56.94 | 580.00 | 688.14
enrollment in a french class at a high school is 0.72 of enrollment in a spanish class. what is enrollment compared to spanish class as a fraction and as a percent?
Answer:
Step-by-step explanation:
Let's say the enrollment in the Spanish class is x.
According to the information given, the enrollment in the French class is 0.72 of the enrollment in the Spanish class, which means the enrollment in the French class is 0.72x.
The enrollment compared to Spanish class as a fraction is 0.72x / x = 0.72.
The enrollment compared to Spanish class as a percent is 0.72 x 100% = 72%.
The solution is, The enrollment compared to Spanish class as a percent is
72%.
Here, we have,
Let's say the enrollment in the Spanish class is x.
According to the information given, the enrollment in the French class is 0.72 of the enrollment in the Spanish class, which means the enrollment in the French class is 0.72x.
The enrollment compared to Spanish class as a fraction is,
0.72x / x = 0.72.
The enrollment compared to Spanish class as a percent is,
0.72 x 100% = 72%.
To learn more on percentage click:
brainly.com/question/13450942
#SPJ2
assume total units produced equals total units sold. if the company prepares a gross margin income statement and a contribution margin income statement,
Correct answer to the question is: operating profit will be the same on both statements; marketing and administrative costs will be the same on both statements.
A gross margin income statement focuses on the difference between the cost of goods sold (COGS) and the selling price of the products. It shows the gross profit as a percentage of sales, which can be used to evaluate the company's ability to generate revenue and cover its costs.
Both the gross margin and the contribution margin income statements provide important information to the company, but they offer different perspectives on the company's profitability. The gross margin income statement is useful for evaluating the overall efficiency of the company's sales and production processes, while the contribution margin income statement is useful for evaluating the potential profit from selling additional units.
Learn more about gross margin :
https://brainly.com/question/22718027
#SPJ4
The complete question is :
Assume total units produced equals total units sold. If the company prepares a gross margin income statement and a contribution margin income statement, _____.
1700/49 + 1700/49 + 1700/49 + 1700/49 + 1700/49 + 33/5
Answer:
44117/245 or 180 17/245
Answer:
1700/49×5 + 33/5
173.45 + 6.6
180
How do I Solve for x
Answer: x = -22/7
Step-by-step explanation: Basically, all angles are the same as indicated in the image, this means that the triangle is equilateral and that all sidelengths will be the same lengths
we can now set up an equation that equals both side lengths to find x
4x+16 = -3x -6
4x+16-16= -3x -6 -16
4x = -3x - 22
4x +3x= -3x + 3x -22
7x/7 = -22/7
x = -22/7
Jack Fitzgerald wishes to purchase a used car that has a cash price of $11,000. The installment terms include a down payment of $2,000 and 48 monthly payments of $219.
a) What finance charge will Jack pay?
b) What is the APR to the nearest half percent?
The finance charge is $______?
The APR is_____%?
finance charge Jack will pay is $1,512.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, Jack Fitzgerald wishes to purchase a used car that has a cash price of $11,000. The installment terms include a down payment of $2,000 and 48 monthly payments of $219.
a)
The amount that needs to be financed is = 11,000 - 2,000 = $9,000.
Amount repayment = 219 x 48 = $8,100.
=> Finance charge = Amount repayment - Amount needs to be financed
Finance charge = 10512 - 9000
Finance charge = 1,512$
b)
We apply the PV for annuity formula to find the interest rate per one month denoted as i:
Amount needs to be finance = (equal monthly installment x i) / [ 1 - (1+i)^-36 ]
or 9,000 = (219/i) x [1 - (1+i)^-48 ] <=> i = 0.911%.
APR = 12 x i
APR = 10.932% .
Learn more about percentages here:
https://brainly.com/question/29306119
#SPJ1
1. Write and solve a system of equations that represents the situation. Interpret the
solution. Harper is starting a new T-shirt printing business. She purchases plain T-shirts for $5 each and spends $150 for printing equipment. She decides to sell printed shirts
for $10 each. How many T-shirts does Harper need to sell so that the amount of
money she spends to start her business and the amount of money she earns are
the same?
The equation for Harper's situation is 10x = 150 + 5x. The number of t-shirts Harper needs to sell so that the amount of money she spends to start her business and the amount of money she earns are the same is 30 t-shirts.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
The price of one plane t-shirt is = $5
The money spent on printing equipment is = $150
The price for printed t-shirt is = $10
Let the number of t-shirts to be sold be x.
The expression for earning money is 10x
The amount she spends on starting the business is -
150 + 5x
So, according to question the equation is -
10x = 150 + 5x
10x - 5x = 150
5x = 150
x = 150 / 5
x = 30
Therefore, 30 t-shirts needs to be sold.
To learn more about equation from the given link
https://brainly.com/question/28871326
#SPJ1
A cylindrical soup can has a radius of 1.5 inches and holds 11.25π cubic
inches of soup. What is the height of the can to the nearest tenth?
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=1.5\\ V=11.25\pi \end{cases}\implies 11.25\pi =\pi (1.5)^2 h \\\\\\ \cfrac{11.25\pi }{\pi (1.5)^2}=h\implies 5=h[/tex]
1. Edgar measures the temperature of a solution at the beginning of an experiment to be . He monitors the temperature of the solution every minute for 10 minutes. He records the change in temperature from his previous reading. His data show a decrease of four times, a decrease of three times, no temperature change two times, and an increase of once.
A: The expression to represent the average change in temperature is -11/10 °F per minute.
B: The average change in temperature is -1.1 °F per minute,
C: For the second attempt average change is -0.1 per minute.
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
Expression: (Math Operator, Number/Variable, Math Operator)
Given temp. at beginning = 23°F
He monitors the temperature of the solution every minute for 10 minutes, and
He records the change in temperature from his previous reading. His data show a decrease of 2 degrees Fahrenheit four times, a decrease of 3 degrees Fahrenheit three times, no temperature change two times, and an increase of 6 degrees Fahrenheit
A) The expression to represent the average change in temperature each minute is given as follows:
The observations are given as follows:
-2, -2, -2, -2, -3, -3, -3, 0, 0, 6.
Mean = (4 x (-2) + 3 x (-3) + 0(2) + 6)/10.
Mean = -11/10
B) The average change in temperature for the first trial is given as follows:
The observations are given as follows:
-2, -2, -2, -2, -3, -3, -3, 0, 0, 6.
The average change = -11/10
The average change = -1.1ºF per minute.
C) In the second attempt of the experiment, the average change in temperature per minute,
A data set's mean is computed as the total number of observations divided by the total number of observations in the data set.
There are 10 observations in total in this problem.
The observations are given as follows:
-2, -2, -2, -2, -3, -3, -3, 0, 0, 6.
Hence, the mean is calculated as follows:
Mean = (4 x (-2) + 3 x (-3) + 6)/10
Mean = -1.1ºF per minute
1ºF greater than this for the second trial is given as follows:
-1.1 + 1 = -0.1 ºF per minute.
Hence the average change in temperature is -1.1 °F per minute,
C: For the second attempt average change is -0.1 per minute.
Learn more about expressions;
https://brainly.com/question/14083225
#SPJ1
The question is incomplete. The complete question is 'Edgar measures the temperature of a solution at the beginning of an experiment to be 23 degrees Fahrenheit . He monitors the temperature of the solution every minute for 10 minutes. He records the change in temperature from his previous reading. His data show a decrease of 2 degrees Fahrenheit four times, a decrease of 3 degrees Fahrenheit three times, no temperature change two times, and an increase of 6 degrees Fahrenheit once. (a) Write an expression to represent the average change in temperature each minute. (b) Using your expression from Part (a), determine the average change in temperature for the first trial(c) Edgar repeats the experiment and finds the average change in temperature each minute is 1 degrees Fahrenheit greater in the second trial than in the first trial. What is the average change in temperature each minute in the second trial of the experiment?'
Tony and Bobby each calculate the population of bacteria when t=5/2 hours.
Tony says that when t=5/2 hours, f(5/2) = (sqrt2)^5 bacteria.
Bobby says that f(5/2) = 4sqrt2 bacteria.
Who's correct?
Use definitions and rules to justify your reasoning. Then use the graph to estimate the value of f(5/2) as a decimal on a graph
None of them is correct and the value of f(5/2) is 1.6 to 1 decimal place
How to determine who is correctFrom the question, we have the following parameters that can be used in our computation:
f(x) = √x
Substitute 5/2 for x
So, we have
f(5/2) = √5/2
When the above is compared to their functions, we have no equivalent expression
This means that none of the notations is correct
Next. we have
f(5/2) = 1.6
Hence, the value is 1.6
Read more about functions at
https://brainly.com/question/28532394
#SPJ1
If you increase the price of a product by 105%, you have to multiply the original price by the factor
Answer: Sorry ching cong ling long aoa
Step-by-step explanation:
The graph shows a function. The equation that represents the function is y=x3 + 1.
Choose True or False for each statement.
a. Each input has exactly one output.
b. The graph shows a nonlinear function.
c. Some inputs have more than one output.
d. The graph can be represented by the form y=mx+b.
Answer:t
Step-by-step explanation:
R5
a wheelbarrow can can carry up to 300 lbs of weight. a bag of soil weighs 20 lbs. write a multiplication inequality to show the number of bags (b) the wheelbarrow can carry
The multiplication inequality that shows the number of bags (b) the wheelbarrow can carry is 20b ≤ 300.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
The wheelbarrow can carry upto = 300 lbs
The bag of soil weighs = 20 lbs.
Now,
Number of bags of soil = b
We can write an inequality for the number of bags of soil the wheelbarrow can carry.
20b ≤ 300
Thus,
20b ≤ 300 is the multiplication inequality to show the number of bags (b) the wheelbarrow can carry.
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ1
The tables show functions representing the growth of
two types of bacteria on certain days within an
experiment that lasted a total of 10 days.
Bacteria A
Time (days)
Bacteria Count
Bacteria B
Time (days)
Bacteria Count
Mark this and return
0
60
2 4
240
960
0
1
3
90 180 720
6
3,840
5
2,880
How do the functions in the table compare?
Since x-intercepts indicate the amount of each
bacteria at the start of the experiment, there was
more of bacteria B than bacteria A at the start.
Since y-intercepts indicate the amount of each
bacteria at the start of the experiment, there was
more of bacteria B than bacteria A at the start.
Since the maximum value in the table for bacteria A
is greater than the maximum value in the table for
bacteria B, bacteria A has a faster growth rate than
bacteria B.
Since the minimum value in the table for bacteria A
is less than the minimum value in the table for
bacteria B, bacteria A has a slower growth rate than
bacteria B.
Save and Exit
Next
Submit
The correct statement regarding the exponential functions is given as follows:
Since y-intercepts indicate the amount of each bacteria at the start of the experiment, there was more of bacteria B than bacteria A at the start.
How to model the situation?An exponential function is defined as follows:
y = ab^(x/n).
In which the parameters are defined as follows:
a is the initial value.b is the rate of change.n is the time needed for the rate of change.For Bacteria A, we have that:
The initial amount is of 60. (y-intercept).The amount doubles every 2 days.For Bacteria B, we have that:
The initial amount is of 80.The amount doubles every day.More can be learned about exponential functions at https://brainly.com/question/30113628
#SPJ1
Suppose that a company has fixed costs of $18 per unit and variable costs $10 per
unit when 15,637 units are produced. What are the fixed costs per unit when
18,349 units are produced? Round to the nearest penny, two decimal places.
The fixed costs per unit when 18,349 units are produced is $18.00.
How to find the fixed costs per unit when 18,349 units are produced?First we need to determine the total costs of production at that level of output.
Given that fixed costs are $18 per unit and variable costs are $10 per unit, the total costs when 15,637 units are produced are:
Fixed costs = $18 * 15,637 = $281,866
Variable costs = $10 * 15,637 = $156,370
Total costs = $281,866 + $156,370 = $438,236
When 18,349 units are produced, the total costs are:
Fixed costs = $18 * 18,349 = $328,882
Variable costs = $10 * 18,349 = $183,490
Total costs = $328,882 + $183,490 = $512,372
Next, we can calculate the fixed costs per unit by dividing the fixed costs by the number of units produced:
Fixed costs per unit = $328,882 / 18,349 = $18.00
Therefore, The fixed costs per unit when 18,349 units are produced is $18.00.
Learn more about Fixed costs here: brainly.com/question/20670674
#SPJ1
Mhlaba is planning on doing a baking course.she,therefore,decided to buy a food processor while browsing the internet,she came across the following special promotions
Based on the information, it can be inferred that Mhlaba food processor on offer is the right choice for Mhlaba due to its quality product.
Which food processor should Mhlaba buy?According to the information, Mhlaba should buy a home food processor because he only needs to make small portions for himself and his family.
Therefore, there is no need for Mhlaba to look for another more professional food processor since he will not work as a cook nor will he require a large-capacity machine. Then he should choose the one on offer.
Note: This question is incomplete. Here is the complete information:
Learn more about machines in: https://brainly.com/question/2555822
#SPJ1
To solve x-25 = 2, add
to each side.
The solution to the equation x - 25 = 2 is x = 27.
What is the equation?
An equation is a mathematical statement that asserts the equality of two expressions. In other words, it is a statement that states that two values are equal.
To solve the equation x - 25 = 2, we first add 25 to each side of the equation:
x - 25 + 25 = 2 + 25
Simplifying the right side of the equation, we get:
x = 27
Hence, The solution to the equation x - 25 = 2 is x = 27.
To learn more about equation,Visit
https://brainly.com/question/17145398
#SPJ1
Im so confused could someone help me here:(
For the function y=f(x), the domain is (-2,2] and the range is (-2,3).
The corresponding values are -
f(-1) = -6, f(0) = -5, f(1) = 6, f(2) = 3.
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
The graph for function y = f(x) is given.
The collection of input or argument values for which a function is actual and defined is known as its domain.
In the graph it can be seen that the graph is intersecting x-axis at x = -2 and at x = 2.
So, the domain is (-2,2]. The ( symbol denotes empty circle whereas the ] symbol denotes a filled circle.
A function's range is the collection of values for which the dependent variable is defined.
The coordinates for the ending of the graph is (2,3). So, the range of the function is [-2,3].
The value for f(-1) as seen in the graph is -
x = -1, then y = -6.
The value for f(0) as seen in the graph is -
x = 0, then y = -5.
The value for f(0) as seen in the graph is -
x = 1, then y = 6.
The value for f(2) as seen in the graph is -
x = 2, then y = 3.
Therefore, the domain and range is (-2,2] and (-2,3) respectively.
To learn more about function from the given link
https://brainly.com/question/2284360
#SPJ1
pls help overdue!!
DIG DEEPER Two boats travel at the same speed to different destinations. Boat A reaches its destination in 12
minutes. Boat B reaches its destination in 18 minutes. Boat B travels 3 miles farther than Boat A. How fast do the
boats travel?
The boats travel
Justify your answer.
mile(s) per minute.
Answer:
0.5
Step-by-step explanation:
6 mins & travelled 3 miles farther
so miles/min = 3/6 = 0.5 mile(s) per minute.
You construct a tangent to circle O at point X on the circle, as shown below. Suppose you choose point
X so that it is in a different position on the circle. Does the measure of ∠OXY change? Complete the
explanation.
The measure of <OXY is 90 degree.
What is Tangent?Tangents to circles are lines that cross the circle at a single point. Point of tangency refers to the location where a tangent and a circle converge. The circle's radius, where the tangent intersects it, is perpendicular to the tangent.
Given:
As, A line that crosses a circle at precisely one point, known as the point of tangency or tangency point, is said to be tangent to the circle.
The fact that the radius is perpendicular to the tangent line from the circle's center to the point of tangency is a significant outcome.
So, according to this tangent XY toucehes the circle at point X.
Thus, <OXY is perpendicular i.e., <OXY = 90
Learn more about tangent here:
https://brainly.com/question/14022348
#SPJ1
You measure narrow-sense heritability for three traits and find that it is 0.1 for trait A, 0.5 for trait B, and 0.8 for trait C. Which of the following can you conclude from your data?A. A parent-offspring regression for trait C will have the highest slope.B. Selection of trait A will have no effect on the population mean for this trait.C. A parent-offspring regression for trait B will be a flat line.D. Selection on each behavior will result in similar changes in the population mean for each trait.E. A parent-offspring regression on trait A will have a slope of 0.9.
You can deduce from your facts that assertion A is correct. Statement B is not conclusive. Statement C is incorrect. Statement D is not conclusive. statement E is false.
What is probability?The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms.
Here,
From your data, you can conclude that:
A. A parent-offspring regression for trait C will have the highest slope.
Heritability is the proportion of variation in a trait that can be explained by genetic variation. A higher heritability indicates that more of the variation in a trait is due to genetic differences, and less is due to environmental differences. If the heritability of a trait is 0.8, this means that 80% of the variation in the trait is due to genetic differences, and a parent-offspring regression would have a steeper slope than if the heritability was lower.
B. Selection of trait A will have no effect on the population mean for this trait.
This statement cannot be concluded from the data. Heritability of a trait does not dictate the responsiveness of a trait to selection. Even if the heritability of a trait is low, it can still respond to selection, and even if the heritability of a trait is high, it may not respond much to selection, depending on the presence of other factors such as the distribution of the trait in the population, the presence of linkage disequilibrium, and the presence of genetic constraints.
C. A parent-offspring regression for trait B will be a flat line.
This statement is false. If the heritability of a trait is 0.5, this means that half of the variation in the trait is due to genetic differences, and half is due to environmental differences. A parent-offspring regression would not be a flat line, but would still have a slope, albeit not as steep as if the heritability was higher.
D. Selection on each behavior will result in similar changes in the population mean for each trait.
This statement cannot be concluded from the data. Heritability is only one of many factors that affects the responsiveness of a trait to selection, and the responsiveness of each trait will depend on other factors as well.
E. A parent-offspring regression on trait A will have a slope of 0.9.
This statement is false. Heritability is the proportion of variation in a trait that can be explained by genetic differences, not the slope of a regression. The slope of a parent-offspring regression would depend on other factors such as the distribution of the trait in the population and the presence of environmental factors.
From your data, you can conclude that: statement A is true. statement B cannot be concluded. statement C is false. statement D cannot be concluded. statement E is false.
To know more about probability,
https://brainly.com/question/30034780
#SPJ4
NEED HELP!!
You want to put a 6-inch thick layer of topsoil for a new 35 feet by 14 feet garden. The dirt store only sells topsoil by the cubic yard. How many cubic yards of topsoil will you need to order to fill this garden?
Answer:
Therefore, you will need to order approximately 9.07 cubic yards of topsoil to fill the garden to a depth of 6 inches.
Step-by-step explanation:
To calculate the amount of topsoil needed, we need to find the volume of the garden in cubic yards, since topsoil is sold by the cubic yard.
The garden is 35 feet by 14 feet and 6 inches (or 0.5 feet) deep.
Volume of the garden = length x width x depth
= 35 feet x 14 feet x 0.5 feet
= 245 cubic feet
To convert cubic feet to cubic yards, we divide by 27 (since 1 cubic yard = 27 cubic feet):
Volume in cubic yards = 245 cubic feet / 27
= 9.07 cubic yards (rounded to two decimal places)
Therefore, you will need to order approximately 9.07 cubic yards of topsoil to fill the garden to a depth of 6 inches.
Could someone help me thank you
f⁻¹(x) = 4x + 7
This can be solved using the concept of function.
What is functions?Function is a mathematical phrase, rule, or law that establishes the connection between an independent variable and a dependent variable (the dependent variable). A function is described as a relationship between a group of inputs and one output each. In simple terms, a function is a connection between inputs, with each input corresponding to exactly one output. Every function has its own domain and codomain, as well as a range. f(x), where x is the input, is a common way to refer to a function.
Given that,
f(x) = x -7/4
f⁻¹(x) = 4x + 7
Now, f (f⁻¹(x)) = f (4x + 7)
= [{(x - 7) / 4} ÷ 4] + 7
= x [Proved]
Next, f⁻¹(f(x))
= f⁻¹ (x -7/4)
= 4 × [(x -7/4)] + 7
= x [Proved]
To know more about function refer to:
brainly.com/question/10439235
#SPJ1