By answering the question the answer is So the slope intercept expression 4x + 5y = 20 in intercept form is: x/5 + y/4 = 1
what is slope intercept?The slope-intercept form of a linear equation in mathematics is an equation of the form y = mx + b. where m is the slope of the line and b is the y-intercept, the point where the line crosses the y-axis. The slope-intercept format is a convenient way to plot equations for straight lines because it allows you to quickly see the line and determine the slope and y-intercept. The slope indicates how steep the line is, and the y-intercept indicates where the line crosses the y-axis.
The intercept form of a linear equation in two variables (x and y) is given by
x/a + y/b = 1
where a and b are the intercepts of x and y respectively.
To convert the given expression 4x + 5y = 20 to intercept form, we need to solve for the intercepts for x and y.
For x = 0, 4x + 5y = 20 becomes
0 + 5 years old = 20
y = 4
So the y-intercept is 4.
For y = 0, 4x + 5y = 20 becomes
4x + 0 = 20
x = 5
So the x-intercept is 5.
So the expression 4x + 5y = 20 in intercept form is:
x/5 + y/4 = 1
To know more about slope intercept visit:
https://brainly.com/question/19824331
#SPJ1
What does the point (5, 10) represent on the
graph?
Answer:
It means the point x = 5 and y = 10
Answer: The place 5 units right and 10 units up from the center of the graph (the origin).
Step-by-step explanation:
Starting at the origin, the 5 represents moving right 5, and the 10 represents going up 5.
What is the maximum number of students to whom 48 apples, 60 bananas and and 96 guavas can be distributed equally? Also find the shares of each fruit.
Answer:
The maximum number of students to whom 48 apples, 60 bananas, and 96 guavas can be distributed equally is 20. Each student will receive 2 apples, 3 bananas, and 4 guavas.
HERE IS THE SEQUENCE OF NUMBERS 3,6,11,18,27...
FIND THE NTH TERM OF THE SEQUENCE
3, 6, 11, 18, 27, 38, 51 , Next term 51 in the sequence is nth term .
What does math sequence mean?
An arrangement of numbers in a specific order is referred to as a sequence. The sum of the components of a sequence, on the other hand, is what is referred to as a series.
SEQUENCE 3,6,11,18,27...
the series follows the odd counting.
for example:
we have odd numbers: 1, 3, 5, 7, 9, 11, 13, 15, etc.
now
3 + 3 = 6
6 + 5 = 11
we can see adding odd numbers in a series results in the solution of the proceeding number of series.
similarly,
11 + 7 = 18
18 + 9 = 27
27 + 11 = 38
now adding 13 to 38 according to the series will result in the next number.
38 + 13 = 51
hence, 51 is the next number in the series.
Learn more about sequence
brainly.com/question/30262438
#SPJ1
Help pleaseeee!!
On January 1, 2014, the federal minimum wage was $7.25 per hour. Which graph has a slope that best represents this rate?
The horizontal line at $7.25 on the y-axis of the graph is the one with a slope that most accurately depicts the federal minimum wage of $7.25 per hour as of January 1, 2014.
Which federal minimum wage was the highest?Although it varies from state to state, the federally mandated minimum wage in the United States is $7.25 per hour. The District of Columbia had the highest minimum wage in the US as of January 1, 2023, at 16.50 dollars per hour.
How are minimum wages determined?The variable dearness allowance (VDA) component, which takes into account inflationary trends, such as an increase or fall in the Consumer Price Index (CPI), and, if applicable, the housing rent, are included in the computation of the monthly minimum salary.
To know more about graph visit:-
https://brainly.com/question/17267403
#SPJ1
A simple random sample with n = 25 provided a sample mean of 30 and a sample standard deviation of 4. Assume the population is approximately normal. a. Develop a 90% confidence interval for the population mean. b. Develop a 95% confidence interval for the population mean. c. Develop a 99% confidence interval for the population mean. d. What happens to the margin of error and the confidence interval as the confidence level is increased?
Conversely, as the confidence level decreases, the margin of error becomes smaller, and the confidence interval becomes narrower.
What is confidence interval?In statistics, a confidence interval is a range of values that is likely to contain the true value of a population parameter (such as a mean or a proportion), based on a sample from that population. The confidence interval is typically expressed as an interval around a sample statistic, such as a mean or a proportion, and is calculated using a specified level of confidence, typically 90%, 95%, or 99%.
Here,
To develop a confidence interval, we need to use the following formula:
Confidence Interval = sample mean ± margin of error
where the margin of error is calculated as:
Margin of Error = z* (sample standard deviation/ √n)
where z* is the critical value from the standard normal distribution table based on the chosen confidence level.
a. For a 90% confidence interval, the critical value (z*) is 1.645. Thus, the margin of error is:
Margin of Error = 1.645 * (4 / √25) = 1.317
So, the 90% confidence interval for the population mean is:
30 ± 1.317, or (28.683, 31.317)
b. For a 95% confidence interval, the critical value (z*) is 1.96. Thus, the margin of error is:
Margin of Error = 1.96 * (4 / √25) = 1.568
So, the 95% confidence interval for the population mean is:
30 ± 1.568, or (28.432, 31.568)
c. For a 99% confidence interval, the critical value (z*) is 2.576. Thus, the margin of error is:
Margin of Error = 2.576 * (4 / √25) = 2.0656
So, the 99% confidence interval for the population mean is:
30 ± 2.0656, or (27.9344, 32.0656)
d. As the confidence level increases, the margin of error also increases, because we need to be more certain that our interval includes the true population mean. This means that the confidence interval becomes wider as the confidence level increases.
To know more about confidence interval,
https://brainly.com/question/28969535
#SPJ1
The table shows some points on the graph of exponential function g(x)
0 1 2 3 4 g(x) 1 3 9 27 81 What is the range of g?
the range of g is all positive numbers greater than or equal to 1. In set-builder notation, we can write the range of g as {g(x) | g(x) ≥ 1}.
How to solve and what is graph?
The range of a function refers to the set of all possible output values. Looking at the table, we can see that the output values of g(x) increase rapidly as x increases.
In fact, the output values of g(x) are the result of raising 3 to the power of x, which means that g(x) can never be negative. Therefore, the range of g is all positive numbers greater than or equal to 1. In set-builder notation, we can write the range of g as {g(x) | g(x) ≥ 1}.
A graph is a visual representation of data or mathematical functions. It is a diagram made up of points, lines, and curves that show the relationship between different variables or data points.
Graphs are used to display and analyze data, to illustrate trends and patterns, and to communicate complex information in an easily understandable way. There are many different types of graphs, including bar graphs, line graphs, pie charts, scatter plots, and more, each suited to different types of data and analysis.
To know more about Graph related questions, visit:
https://brainly.com/question/17267403
#SPJ1
How do you write 0.38 as a percentage?
Write your answer using a percent sign (%).
Answer:
38%
Step-by-step explanation:
I learned in class on Friday.
Multiply both numerator and denominator by 100. We do this to find an equivalent fraction having 100 as the denominator.
[tex]0.38\times \dfrac{100}{100}[/tex]
[tex]= (0.38 \times 100) \times \dfrac{1}{100} =\dfrac{38}{100}[/tex]
Write in percentage notation: 38%
the circumference of a circle is 4.8m. Calculate the area of the circle
Answer:
A≈1.83m²
Step-by-step explanation:
Using the formulas
A=πr2C=2πr
Solving forAA=C24π=4.824·π≈1.83346m²
Answer:
1.83 (approximate)
Step-by-step explanation:
First, we need to find the radius of the circle.
Using the formula:
[tex]C=2 \pi r[/tex]
We have to reorganize terms:
[tex]r=\frac{C}{2\pi}[/tex]
[tex]\frac{4.8}{2 \times \pi}[/tex]
r ≈ 0.76
Now we have the radius and the circumference in order to find the area.
Use the formulas:
[tex]A= \pi r^2[/tex]
[tex]C=2 \pi r[/tex]
A = C^2/4[tex]\pi[/tex] = 4.8^2 / 4 * pi = 1.83
The odometer in Mr. Washington's car does not work correctly. The odometer recorded 14.3 miles for his last trip to the hardware store,but he knows the distant traveled is 17 miles.What is the percent error. Show steps
Find the percent errors, use the formula a-x/x ×100%
Answer:
15.8823% error
Step-by-step explanation:
Percent Error Formula
abs([tex]\frac{(a-x)}{x}[/tex]) * 100%
abs: absolute value
a: actual value
x: expected value
Percent Error = abs([tex]\frac{14.3 - 17}{17}[/tex]) * 100%
= abs(-0.158823) * 100%
15.8823% error
$9,300 is invested in an account earning 8.9% interest (APR), compounded daily. Write a function showing the value of the account after � t years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent.
The function for the value of the account after t years can be written as:
V(t) = 93000(1.08900365)t
The coefficient of 1.08900365 is the annual growth rate (APR) compounded daily. After rounding to four decimal places, it becomes 1.0890.
The percentage of growth per year (APY) is 8.90%. This is the same as APR, but expressed as a percentage.
Andy has 4 red cards, 3 blue cards, and 2 green cards. He chooses a card and replaces it before choosing a card again. How many possible outcomes are in the sample space of Andy's experiment?
A) 18
B) 9
C)81
D)3
There are 81 potential outcomes in Andy's sample space.
What are the potential results?Potential Outcomes is a list of every scenario that could happen as a result of an occurrence. For instance, while rolling a dice, the possible results are 1, 2, 3, 4, 5, and 6. 6. Favorable Result - the intended outcome. For instance, if you roll a 4 on a dice, the only possible result is 4.
The total number of cards (i.e., 4 + 3 + 2 = 9) determines the number of outcomes that can occur in each draw.
We must multiply the total number of results for each draw in order to determine the total number of possible outcomes for the two draws.
For two draws with replacement, there are exactly as many outcomes available as the product of the amount of outcomes that could occur in each draw.
9 × 9 = 81.
To know more about potential outcomes visit:-
https://brainly.com/question/28889662
#SPJ1
Which of the following is true regarding cross-sectional data sets? Check all that apply. The data consist of a sample of multiple individuals. It can be assumed that the data were obtained through a random sampling of the underlying population. These data require attention to the frequency at which they are collected (weekly, monthly, yearly, etc.). The data are collected at approximately the same point in time.
The correct options are:
The data contain a sample of multiple individuals.
The data are collected are approximately at the same point in time.
Cross-sectional data sets are a type of research design used in statistical analysis. They consist of a sample of multiple individuals or entities observed at a single point in time. One of the characteristics of cross-sectional data sets is that they do not involve any observation or measurement over time, making them different from longitudinal or time-series data sets.
One advantage of cross-sectional data sets is that they are relatively easy and inexpensive to collect. It can be assumed that the data were obtained through a random sampling of the underlying population, making them representative of the larger population. However, these data require attention to the frequency at which they are collected (weekly, monthly, yearly, etc.), as the timing of data collection can impact the results.
Overall, cross-sectional data sets can provide a snapshot of a population or phenomenon at a specific point in time, making them useful for a wide range of research questions in social, economic, and political sciences.
Find out more about Cross-sectional data
at brainly.com/question/14364178
#SPJ4
Below is the graph of a trigonometric function. It has a minimum point at
(1, 1.5) and an amplitude of 1.5. What is the midline equation of the function?
The midline equation of the function is y = 1.5.
What is amplitude of trigonometric functions?The gap between a trigonometric function's highest and least values is known as its amplitude. The difference between the greatest and minimum numbers is, in other words, divided by two. For instance, the amplitude is A in the equation y = A sin(Bx) + C. The amplitude, also known as the average value of the function across a period, denotes the "height" of the function above and below the midline. It gauges the magnitude or intensity of the oscillation of the function's representation of. The oscillation is more prominent and subtler depending on the amplitude, which ranges from higher to lower values.
Given that, the function has minimum point at (1, 1.5) and an amplitude of 1.5.
Using the definition of the amplitude the midline is the given amplitude.
Hence, the midline equation of the function is y = 1.5.
Learn more about amplitude here:
https://brainly.com/question/9124856
#SPJ1
Answer:
3
Step-by-step explanation:
Khan Academy
Question 20 (2 points)
Suppose a survey was given to students at WCC and it asked them if they voted for
the Democrat or Republican in the last election. Results of the survey are shown
below:
Democrat Republican
Male. 50. 75
Female. 125. 50
If a student from the survey is selected at random, what is the probability they voted
for the republican?
75/50
50/75
75/300
125/300
Answer:
The table given provides the number of male and female students who voted for each party, but it does not give the total number of students in the survey. To find the probability of selecting a student who voted for the Republican party, we need to know the total number of students who participated in the survey.
The total number of students in the survey is:
50 + 75 + 125 + 50 = 300
The number of students who voted for the Republican party is:
75 + 50 = 125
Therefore, the probability of selecting a student who voted for the Republican party is:
125/300 = 0.4167 (rounded to four decimal places)
So, the answer is option D: 125/300
(please mark my answer as brainliest)
PLEASE HELP FAST !! 30 POINTS + BRAINLIEST
I have two fair dice each numbered 1 to 6. I am going to throw the two dice. What is
the probability that the sum of the numbers on the dice will be a square number?
The probability that the sum of the numbers on the dice will be a square number is 1/6.
What is the mathematical probability?The area of mathematics known as probability explores potential outcomes of events as well as their relative probabilities and distributions.
We can first make a list of every conceivable result when rolling two dice in order to determine the likelihood that the sum of the numbers on the two dice will be a square number:
[tex](1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6[/tex])
[tex](2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)[/tex]
[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)[/tex]
[tex](4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]
[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)[/tex]
[tex](6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)[/tex]
The sums can then be listed, and the square numbers can be identified:
2, 3, 4, 5, 6, 7
3, 4, 5, 6, 7, 8
4, 5, 6, 7, 8, 9
5, 6, 7, 8, 9, 10
6, 7, 8, 9, 10, 11
7, 8, 9, 10, 11, 12
The likelihood that the sum of the numbers on the dice will be a square number is 6 out of a total of 36 potential outcomes.
P(square sum) = 6/36 = 1/6.
To know more about probability visit:-
https://brainly.com/question/30034780
#SPJ1
Interpret the slope of this function in the context of the situation. Use complete sentences.
Jennifer is painting an office complex. One wing has a large reception area with several equal-sized offices. Before painting, she must put tape on the baseboards. The amount of tape needed is given by the equation, y=12x+25 where y is total number of meters of tape, and x is the number of offices.
The slope of the function is 12. Because of the slope, Jennifer will require 12 extra meters of tape for each additional office she needs to tape the baseboards in.
What is slope?A line's slope on a graph is its steepness or inclination. It may be derived from any two locations on a line by dividing the vertical change (rise) by the horizontal change (run). Positive, negative, zero, or undefinable slopes are all possible for lines. A line on a graph with a positive slope is growing as you travel from left to right, while one with a negative slope is declining. A line has a slope of zero when it is horizontal and a slope of infinity when it is vertical.
The given function is y = 12x + 25.
The standard equation of the line is given as:
y = mx + b
where, m is the slope.
Comparing the equation with the given equation the slope of the function is 12.
Because of the slope, Jennifer will require 12 extra metres of tape for each additional office she needs to tape the baseboards in. In other words, if more offices need to be painted, the amount of sellotape required also grows linearly.
Learn more about slope here:
https://brainly.com/question/1905613
#SPJ1
Corresponding sides of similar triangles are proportional. Use this fact to find the length of side PR of the following pair of similar triangles. Remember that the length cannot be negative, and there may be more than one solution.
The length of side PR can be either 14 or 5.
Describe corresponding sides ?In geometry, corresponding sides are the sides of two or more geometric figures that are in the same relative position to each other. When two or more figures are similar, their corresponding sides are in the same ratio or proportion, meaning that the ratio of the length of one side in the first figure to the length of the corresponding side in the second figure is constant. For example, if two triangles are similar, then their corresponding sides are proportional to each other. The side that corresponds to another side is typically identified using the same letter with a prime symbol (') added to it.
Since the triangles PQR and STV are similar, their corresponding sides are proportional. That is,
PR / SV = QR / TV
Substituting the given lengths, we get:
(3x-19) / (3x-9) = (x-4) / 12
Cross-multiplying and simplifying, we get:
36x - 228 = (3x-9)(x-4)
36x - 228 = 3x^2 - 21x + 36
3x^2 - 57x + 264 = 0
Dividing both sides by 3, we get:
x^2 - 19x + 88 = 0
Factoring the quadratic equation, we get:
(x-11)(x-8) = 0
Therefore, x = 11 or x = 8.
If x = 11, then PR = 3x-19 = 3(11) - 19 = 14.
If x = 8, then PR = 3x-19 = 3(8) - 19 = 5.
Therefore, the length of side PR can be either 14 or 5.
To know more about equation visit:
https://brainly.com/question/29090112
#SPJ1
A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply 1 unit of protein, 2 units of carbohydrates, and 1 unit of fat. Each ounce of nuts will supply 1 unit of protein, 1 unit of carbohydrates, and 1 unit of fat. Every package must provide at least 8 units of protein, at least 11 units of carbohydrates, and no more than 10 units of fat. Let x equal the ounces of fruit and y equal the ounces of nuts to be used in each package.
Let x be the number of ounces of fruit and y the number of ounces of nuts. Referring to the chart, give the three inequalities that x and y must satisfy because of the package's requirements for protein, fat, and carbohydrate.
__ _ 8
__ _ 11
__ _ 10
Give the inequalities that x and y must satisfy because they cannot be negative.
y ≥ __
x ≥ __
Answer:
Step-by-step explanation:
The three inequalities that x and y must satisfy because of the package's requirements for protein, fat, and carbohydrate are:
Protein: 1x + 1y ≥ 8 (at least 8 units of protein)
Carbohydrates: 2x + 1y ≥ 11 (at least 11 units of carbohydrates)
Fat: 1x + 1y ≤ 10 (no more than 10 units of fat)
The inequalities that x and y must satisfy because they cannot be negative are:
x ≥ 0
y ≥ 0
Step-by-step explanation:
To satisfy the requirements for protein, fat, and carbohydrates, the following three inequalities must be satisfied:
1. 1x + 1y ≥ 8 (At least 8 units of protein)
2. 2x + 1y ≥ 11 (At least 11 units of carbohydrates)
3. 1x + 1y ≤ 10 (No more than 10 units of fat)
To ensure that x and y are non-negative, the following inequalities must be satisfied:
x ≥ 0y ≥ 0
Therefore, the complete set of inequalities for x and y are:
x + y ≥ 82x + y ≥ 11x + y ≤ 10x ≥ 0y ≥ 0
What rotation centered about the origin maps (4, − 7) to (7,4) ? 90° counterclockwise 180° counterclockwise 270° counterclockwise I don't know. ←
Answer:
What rotation centered about the origin maps (4, − 7) to (7,4) ? 90° counterclockwise 180° counterclockwise 270° counterclockwise I don't know. ←
Step-by-step explanation:
To map the point (4, -7) to (7, 4) by a rotation centered about the origin, we need to find the angle of rotation and direction.
We can start by finding the vector from the origin to (4, -7), which is <4, -7>. We want to rotate this vector to the vector from the origin to (7, 4), which is <7, 4>.
To do this, we need to find the angle between these two vectors. Using the dot product, we have:
<4, -7> · <7, 4> = (4)(7) + (-7)(4) = 0
Since the dot product is zero, we know that the two vectors are orthogonal, and the angle between them is 90 degrees.
To map (4, -7) to (7, 4) with a 90-degree rotation counterclockwise, we can use the matrix:
[0 -1]
[1 0]
Multiplying this matrix by the vector <4, -7>, we get:
[0 -1] [4] = [-7]
[1 0] [-7] [ 4]
which corresponds to the point (-7, 4). This matches our desired endpoint, so the answer is 90° counterclockwise.
Answer:
90° counterclockwise
Step-by-step explanation:
I am not sure if the picture helps or not. I am trying to show that I traced the point (4,-7). Then I have a plus sign at (0,0). I start rotating the tracing paper counterclockwise until I get to the point (7,4). I needed to turn one turn of the plus sign. That would be 90°
Helping in the name of Jesus.
In circle � W, � � = 3 WX=3 and m ∠ � � � = 8 0 ∘ ∠XWY=80 ∘ . Find the length of � � ⌢ XY ⌢ . Express your answer as a fraction times � π. X W Y Answer: Length of X Y ⌢ = Length of XY ⌢ =
The Length of arcXY is 4π/3
Define the term Circle identities?The Circle identities refer to a set of fundamental identities in trigonometry that relate the six trigonometric functions of an angle in a right-angled triangle.
Given, (radius) WX =3, it means, r = 3
given, m∠XWY = 80°
So, the length of arc XY;
arcXY = [tex]\frac{80}{360}* 2\pi r[/tex] (by formula: length of arc)
arcXY = [tex]\frac{2}{9}* 2\pi *3[/tex]
arcXY = [tex]\frac{4}{3}\pi[/tex]
Therefore, the Length of arcXY is 4π/3
To know more about Circle, visit:
https://brainly.com/question/8952990
#SPJ1
Complete question-
What gravitational force does the moon produce on the Earth if their centers are 3.88x108 m apart and the moon has a mass of 7.34x1022 kg?
The gravitational force that the moon produces on the Earth is approximately [tex]1.98 \times 10^{20}\ \mathrm{N}$.[/tex]
What is gravitational force?
Gravitational force is the force of attraction that exists between any two objects in the universe with mass. This force is directly proportional to the masses of the objects and inversely proportional to the square of the distance between their centers.
The gravitational force that the moon produces on the Earth can be calculated using the formula:
[tex]F = G \cdot \frac{m_1 \cdot m_2}{r^2}[/tex]
where:
[tex]G$ = gravitational constant = $6.67430 \times 10^{-11}\ \mathrm{N(m/kg)^2}$[/tex]
[tex]m_1$ = mass of the moon = $7.34 \times 10^{22}\ \mathrm{kg}$[/tex]
[tex]m_2$ = mass of the Earth = $5.97 \times 10^{24}\ \mathrm{kg}$ (approximate)[/tex]
[tex]r$ = distance between the centers of the Earth and the moon = $3.88 \times 10^8\ \mathrm{m}$[/tex]
Substituting these values into the formula, we get:
[tex]F &= 6.67430 \times 10^{-11} \cdot \frac{7.34 \times 10^{22} \cdot 5.97 \times 10^{24}}{(3.88 \times 10^8)^2} \&= 1.98 \times 10^{20}\ \mathrm{N}[/tex]
Therefore, the gravitational force that the moon produces on the Earth is approximately [tex]1.98 \times 10^{20}\ \mathrm{N}$.[/tex]
To learn more about gravitational force visit:
https://brainly.com/question/29328661
#SPJ1
The question is in the picture.
The composite function is obtained applying the inner function as the input to the outer function.
The functions for this problem are defined as follows:
Inner function: T(t) = 6t + 1.2.Outer function: N(T) = 20T² - 128t + 77.Hence the composite function is obtained replacing the two instances of T on the function N(t) by the definition of T(t), hence:
N(T(t)) = 20(6t + 1.2)² - 128(6t + 1.2) + 77
N(T(t)) = 720t² + 288t + 28.8 - 768t - 204.6.
N(T(t)) = 720t² - 480t - 175.8.
For a population of 18413 bacteria, we have that N(T(t)) = 18413, hence:
720t² - 480t - 175.8 = 18413
720t² - 480t - 18588.8 = 0.
The coefficients of the quadratic function are given as follows:
a = 720, b = 480, c = -18.588.8.
Using a quadratic function calculator, the positive solution is given as follows:
t = 4.76 hours.
More can be learned about composite functions at https://brainly.com/question/10687170
#SPJ1
when we say that an algorithm x is asymptotically more efficient than y it means that x will always be a better choice for large inputs
It mean X will be a better choice for all inputs except small inputs when we say that an algorithm X is asymptotically more efficient than Y. So the option B is correct.
Asymptotic analysis takes algorithm growth in terms of input size into account. If an algorithm X runs faster than Y for all input sizes n greater than or equal to n₀, then X is said to be asymptotically better than Y.
When we claim that a method X is asymptotically more efficient than Y, we indicate that X will be a better option for all inputs except small inputs. The better choice would depend on the specific problem and algorithm.
Generally, if X is asymptotically more efficient than Y, then X should be the preferred choice for larger inputs, while Y may be better suited for small inputs. So the option B is correct.
To learn more about Asymptotic analysis link is here
brainly.com/question/30357219
#SPJ4
The complete question is:
What does it mean when we say that an algorithm X is asymptotically more efficient than Y?
a) X will be a better choice for all inputs
b) X will be a better choice for all inputs except small inputs
c) X will be a better choice for all inputs except large inputs
d) Y will be a better choice for small inputs
find the lenght of each side of a rohmbus with permeter of 40 meters
Answer:
10 metres
Step-by-step explanation:
All sides are equal in Rhombus
So, the length of one side= 40m÷4
=10 metres
Use the slope and y-intercept to identify the equation of this line.
Answer:
D. y = -2x
Step-by-step explanation:
slope = rise/run = 2/-1 = -2
y-intercept = (0,0)
y = mx + b
y = -2x + 0
y = -2x
The cost C (in dollars) of supplying recycling bins to p% of the population of a rural township is given by C=25000p/100-p, 0 ≤ p ≤ 100, Use a graphing utility to graph the cost function.
Here's a graph of the cost function C = 25000p / (100 - p), using graphing utility. The graph shows that the cost function is continuous and defined for all values in its domain.
The domain of the function is restricted to 0 ≤ p ≤ 100, since it doesn't make sense to supply recycling bins to more than 100% of the population, or to a negative percentage of the population.
As p approaches 100%, the cost of supplying recycling bins becomes very large, since it becomes increasingly expensive to provide bins to a large portion of the population. As p approaches 0%, the cost also approaches 0, since there are fewer bins needed for a smaller population.
The function has a vertical asymptote at p = 100, since the denominator of the fraction approaches 0 as p approaches 100 from the left. This means that the cost becomes infinitely large as the percentage of the population approaches 100%.
To know more about Graph:
https://brainly.com/question/17267403
#SPJ4
Please help...Experimental Probability and Theoretical Probability..I'm getting the wrong answer
Answer:
(a) 0.413
(b) 0.400
(c) 1 — ... the difference should be small
Step-by-step explanation:
Given a table of experimental results from 1000 spins and a diagram of a spinner, you want the experimental and theoretical probabilities of landing on Red. You also want a statement comparing them.
(a) ExperimentalThe table tells you 1000 experiments resulted in 413 reds. The experimental probability of landing on red is ...
413/1000 = 0.413
(b) TheoreticalThe diagram of the spinner shows 10 equal segments, of which 4 are red. The theoretical probability of landing on red is ...
4/10 = 0.400
(c) ComparisonThe presumption in statistics is that any experiment repeated a sufficient number of times should see experimental results approaching theoretical results. We expect a small difference between experimental and theoretical results for a large number of trials.
Use a triple integral to find the volume of the solid bounded below by the cone z = vx2 + y2 and bounded above by the sphere x2 + y2 + z2 = 18. (0.0.V18) x?+y+z=18 cubic units The volume of the solid is (Type an exact answer.)
The volume of the solid is given by the equation V = 36π (√2 - 1) using the triple integral.
A three-dimensional object's volume in three-dimensional space may be determined using the triple integral. The three-variable function is represented by the triple integral. If in space is a closed region, the region's entire volume may be expressed as V = Ddv, which is equivalent to V = D d x d y d z.
Cone: z = [tex]\sqrt{x^2+y^2}[/tex]
sphere: x² + y² + z² = 18
Here, we will use cylindrical coordinates to evaluate volume:
x = rcosθ , y = rsinθ, z = z
so, z = [tex]\sqrt{r^2cos^2\theta+r^2sin^2\theta} =r[/tex]
z = [tex]\sqrt{18-(x^2+y^2)} =\sqrt{18-r^2}[/tex]
r = [tex]\sqrt{18-r^2}[/tex]
r = 3
Finding limits,
[tex]Volume = \int\limits^2_0 \int\limits^3_0\int\limits^a_r {rdzdrd\theta} \, \\\\= \int\limits^2_0 \int\limits^3_0rz \ drd\theta\\\\= \int\limits^2_0 \int\limits^3_0 r(\sqrt{18-r^2}-r ) \ drd\theta\\\\[/tex]
Now, we have
[tex]\int\limits^3_0 {r\sqrt{18-r^2} } \, dr = -(9-18\sqrt{2} ) = 18\sqrt{2} -9[/tex]
Now the integral becomes,
Volume = 2π [(18√2-9) - 9]
= 2π x 18√2 - 18
V = 36π (√2 - 1)
Therefore, the volume of the solid is given by V = 36π (√2 - 1).
Learn more about Triple Integral:
https://brainly.com/question/17206296
#SPJ4
Please answer the attached question
The values of e and f in the given equation are: e = 2√3 ± √(4√3), e = 2√3 ± 2√2, and f = 4√3.
How are radicals solved?Equations containing radicals can be made simpler by solving the resultant equation after squaring both sides of the equation to remove the radical. Nonetheless, caution must be exercised to guarantee that any solutions found are reliable and adhere to any variables' limitations.
The given equation is [tex](e - 2\sqrt{3} )^2[/tex] = f - 20√3.
Expanding the left side of the equation we have:
[tex](e - 2\sqrt{3} )^2[/tex] = (e - 2√3)(e - 2√3)
= [tex]e^2[/tex] - 2e√3 - 2e√3 + 12
= [tex]e^2[/tex] - 4e√3 + 12
Substituting back in the function
[tex]e^2[/tex] - 4e√3 + 12 = f - 20√3
[tex]e^2[/tex] - 4e√3 - f + 20√3 - 12 = 0
Using the quadratic formula:
e = [4√3 ± √(16*3 + 4(f - 20√3 + 12))] / 2
e = [4√3 ± √(4f - 64√3)] / 2
e = 2√3 ± √(f - 16√3)
Now for,
(e - 2√3)² = f - 20√3
(2√3 + √(f - 16√3) - 2√3)² = f - 20√3
f - 20√3 = f - 16√3
f = 4√3
Hence, the values of e and f in the given equation are: e = 2√3 ± √(4√3), e = 2√3 ± 2√2, and f = 4√3.
Learn more about radicals here:
brainly.com/question/1369233
#SPJ1
A camera has a list price of
$
459.99
before tax. If the sales tax rate is
7.25
%
,
find the total cost of the camera with sales tax included.
Round your answer to the nearest cent, if necessary.
In this case, we'll have to carry out several steps to find the solution.
Step 1:
Data:
camera:
list price (before tax) = $459.99
sales tax = 7.25%
Step 2:
percentage:
[tex]sales \ tax = 7.25\% = 7/100 = 0.07[/tex]
[tex]total \ cost = \$459.99 + \$459.99 \times (0.07) = \$459.99 + \$32.1993 = \$492.1893[/tex]
The answer is:
$492.19
