Answers
Answer:
circle K has greater area that circle J by 2000.18 cm sq.
Step-by-step explanation:
area of circle => π r^2
area of circle j = 3.14 x 18 x 18 = 1017.36
area of circle K = 3.14 x 31 x 31 =3017.54
the difference in their areas : 3017.54- 1017.36 = 2000.18
Related Questions
Kira is choosing between two exercise routines.
In Routine #1, she burns 24 calories walking. She then runs at a rate that burns 15.5 calories per minute.
In Routine #2, she burns 52 calories walking. She then runs at a rate that burns 9.9 calories per minute.
For what amounts of time spent running will Routine #1 burn at most as many calories as Routine #2?
Use t for the number of minutes spent running, and solve your inequality for t.
Answers
For any value of inequality for t less than or equal to 5 minutes, Routine #1 will burn at most as many calories as Routine #2.
What is inequality?
In mathematics, an inequality is a statement that compares two quantities using symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "!=" (not equal to).
Let's start by calculating the total number of calories burned in each routine as a function of the number of minutes spent running:
Routine #1:
Total calories burned = 24 + 15.5t
Routine #2:
Total calories burned = 52 + 9.9t
To find the point where Routine #1 burns at most as many calories as Routine #2, we need to solve the inequality:
24 + 15.5t ≤ 52 + 9.9t
Simplifying this inequality, we get:
5.6t ≤ 28
Dividing both sides by 5.6, we get:
t ≤ 5
Therefore, for any value of t less than or equal to 5 minutes, Routine #1 will burn at most as many calories as Routine #2.
So the answer is: t ≤ 5.
To learn more about inequality visit:
https://brainly.com/question/30238989
#SPJ1
Colleen paid $13.70 to download 12 songs from an online music service. Some of the songs were on sale and cost $0.99 each. The rest were regularly priced at $1.25 per song. Let x represent the number of sale priced songs, and let y represent the number of regularly priced songs. This situation can be represented by the system x+y=12 and 0.99x+1.25y=13.7 . How many of each type of song did Colleen purchase?
Answers
Using equations, we can find that the number of sale-priced songs is 5 and the number of regularly priced songs is 7.
What exactly is an equation system?Equations are mathematical statements with the equals (=) symbol and two algebraic expressions on either side. This illustrates the equality of the relationship between the expressions printed on the left and right sides. The formula LHS = RHS (left hand side equals right hand side) is utilised in all mathematical equations. To determine the value of an unknown variable that represents an unknown quantity, you can solve equations. A statement is not regarded as an equation if it has no "equal to" symbol.
As per the question, equation given are:
x + y = 12
x = 12 - y
Now, substituting the value in:
0.99x+1.25y = 13.7
= 0.99(12-y) +1.25y = 13.7
= 11.88 - 0.99y + 1.25y = 13.7
= 0.26y = 13.7 - 11.88
0.26y = 1.82
y = 1.82/0.26
y = 7
Now, substitute this value,
x = 12 - 7
x = 5
As a result, there are 5 songs on sale and 7 songs that are regularly priced.
To know more about equations, visit:
brainly.com/question/13729904
#SPJ1
What is the product of (3x+2) and (x - 7) ?
Answers
Hope this helps :)
what does the symmetric bell shape of the normal curve imply about the distribution of individuals in a normal population?
Answers
Answer:
Answer and Explanation: The symmetric bell shape of the normal curve implies that the skewness of the distribution of the data is 0, and most of the observation is located at the middle of the distribution. The shape of the normal distribution is not positive and negative skewed, the shape seems to be bell-shaped.
HOPE THIS HELPS!
PLEASE HELP ME
A pizza shop surveyed a random group of customers to determine their favorite pizza topping. Out of 400 people, how many would you expect to say their favorite topping is sausage?
Answers
The percent that reported mushroom as their favorite from the pizza shop survey would be 10 %.
The percent that instead reported cheese or pepperoni as their favorite is 62.5 %.
Out of 400 people, the number that would say their favorite was sausage is 50 people .
How to find the number of people in the survey ?The percent that prefer mushroom would be:
= Number of those who chose mushroom / Number surveyed
= 8 ( 35 + 8 + 15 + 12 + 10 )
= 8 / 80
= 10 %
The percentage that instead chose cheese or pepperoni:
= ( 15 + 35 ) / ( 35 + 8 + 15 + 12 + 10 )
= 50 / 80
= 62.5 %
The number out of 400 that would be expected to choose sausage :
= 10 / ( 35 + 8 + 15 + 12 + 10 ) x 400
= 50 people
Find out more on surveys at https://brainly.com/question/27475825
#SPJ1
A line passes through the point (6, - 3) and has a slope of -2.
Write an equation in slope-Intercept form for thls line.
Answers
To find the equation of the line passing through the point (6, -3) with a slope of -2, we can use the point-slope form of the equation of a line:y - y1 = m(x - x1)where (x1, y1) is the given point and m is the slope.Substituting the given values, we get:y - (-3) = -2(x - 6)Simplifying, we get:y + 3 = -2x + 12Subtracting 3 from both sides, we get:y = -2x + 9So, the equation of the line is y = -2x + 9
how mang triangles are possible given the following side maesurment: 3 feet , 5 feet, 4 feet
Answers
The answer is: 1 triangle is possible given the following side maesurment: 3 feet , 5 feet, 4 feet.
To determine how many triangles are possible with these side measurements, we can use the triangle inequality theorem, which states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side.
What is inequality theorem?
In this case, we have three side measurements: 3 feet, 5 feet, and 4 feet. Let's call these sides a, b, and c, respectively. Using the triangle inequality theorem, we can see that:
a + b > c
a + c > b
b + c > a
Substituting in the values of a, b, and c, we get:
3 + 5 > 4
3 + 4 > 5
4 + 5 > 3
All three of these inequalities are true, so it is possible to form a triangle with these side measurements.
To determine how many distinct triangles are possible, we can use the fact that any two triangles are distinct if and only if they have at least one side with a different length. In this case, all three sides have different lengths, so there is only one distinct triangle that can be formed with these side measurements.
Therefore, the answer is: 1 triangle.
To know more about triangle, visit:
https://brainly.com/question/2773823
#SPJ1
Complete question is: 1 triangle is possible given the following side maesurment: 3 feet , 5 feet, 4 feet.
End of unit 4 assessment right triangle trigonometry
Answers
End of unit 4 assessment on right triangle trigonometry is an evaluation of a student's understanding of the basic concepts and applications of trigonometry involving right triangles.
This assessment may cover topics such as the trigonometric functions, Pythagorean theorem, special right triangles, and solving right triangles.
Trigonometry is the study of the relationships between the angles and sides of triangles, particularly right triangles. It is a branch of mathematics that has numerous applications in fields such as physics, engineering, and astronomy.
The trigonometric functions are sine, cosine, and tangent, which are ratios of the sides of a right triangle. These functions can be used to solve problems involving angles and sides of right triangles, such as finding the missing side or angle.
The Pythagorean theorem is another fundamental concept in right triangle trigonometry. It states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
Special right triangles, such as the 30-60-90 triangle and the 45-45-90 triangle, have specific ratios of their side lengths that can be used to solve problems more easily.
Solving right triangles involves finding the measures of all the angles and sides of a right triangle given certain information, such as the length of one side and the measure of one angle.
In conclusion, the end of unit 4 assessment on right triangle trigonometry evaluates a student's understanding of the basic concepts and applications of trigonometry involving right triangles. This assessment is important for students to demonstrate their mastery of the subject and to prepare them for further studies in mathematics and related fields.
To know more about trigonometry click here:
brainly.com/question/29002217
#SPJ4
End of unit 4 assessment right triangle trigonometry describe the importance of Side ratios in right triangles as a function of the angles ?
I have a square piece of card. I cut a triangle from each corner so that the remaining card is in the shape of a regular octagon. The perimeter of the regular octagon is 32cm. Work out length y
Answers
The required length of y representing the length of the cut piece from each corner of triangle to form regular octagon is equal to 2√2cm.
Let us consider the length of the side of the square card be x
Cut the corners of the triangle of length y cm.
Then as triangles at the corner are right angled triangle.
Using Pythagoras theorem we have,
Each side of the regular octagon is same as hypotenuse .
Hypotenuse = √y² + y²
⇒Hypotenuse = y√2
Length of each of regular octagon = y√2
Perimeter of the octagon = 8y√2
⇒8y√2 = 32
⇒ y = 4/√2
⇒ y = 2√2cm.
Therefore, the length of y with the given perimeter of the regular octagon is equal to 2√2cm.
learn more about octagon here
brainly.com/question/28595274
#SPJ4
Identify the two choices that best completes the statement below.
What is the sum of the first 10 terms of the series 1 + 2 + 4 + 8...?
Answers
The sum of the first 10 terms of the geometric progression that is given in the question is 1023.
What is geometric progression ?
Geometric progression, also known as geometric sequence, is a sequence of numbers in which each term after the first is obtained by multiplying the preceding term by a fixed constant. This fixed constant is called the common ratio.
The given series is a geometric progression, where each term is obtained by multiplying the preceding term by 2. The first term is 1, and the common ratio is 2.
The sum of the first n terms of a geometric progression is given by the formula:
[tex]S_n = a(1 - r^n) / (1 - r)[/tex]
where a is the first term, r is the common ratio, and n is the number of terms.
Using this formula, we can find the sum of the first 10 terms of the given series as:
[tex]S_{10} = 1(1 - 2^{10}) / (1 - 2)[/tex]
[tex]= 1(1 - 1024) / (-1)[/tex]
[tex]= 1023[/tex]
Therefore, the sum of the first 10 terms of the series 1 + 2 + 4 + 8... is 1023.
To learn more about common ratio from the given link :
https://brainly.com/question/29067806
#SPJ1
John's parents deposited $1000 into a savings account as a collage fund when he was born. How much will john have in this account after 18 years at a yearly simple interest rate of 3. 25%?
Answers
John's parents deposited 1000 into a savings account as a college fund when he was born. We need to find out how much John will have in this account after 18 years at a yearly simple interest rate of 3.25%.
We can use the formula for simple interest to solve this problem.
The formula for simple interest is:
I = PRT
Where,I = interest
P = principal (the initial amount of money)
R = rate of interest (as a decimal)
T = time (in years)
We are given that John's parents deposited 1000 when he was born. So, P = 1000. The interest rate is 3.25% per year, which is 0.0325 as a decimal. And we are given that the time is 18 years, so T = 18 years.Using the formula for simple interest, we can find the amount of interest earned:
I = PRTI = (1000)(0.0325)(18)I = 585
We can then add the interest earned to the principal to find the total amount of money in the account after 18 years:
A = P + IA = 1000 + 585A = 1585
Therefore, John will have 1585 in this account after 18 years at a yearly simple interest rate of 3.25%.
for such more question on simple interest
https://brainly.com/question/25793394
#SPJ11
suppose 58% of recent college graduates plan on pursuing a graduate degree. thirteen recent college graduates are randomly selected. a. what is the probability that no more than four of the college graduates plan to pursue a graduate degree? (do not round intermediate calculations. round your final answer to 4 decimal places.) b. what is the probability that exactly seven of the college graduates plan to pursue a graduate degree? (do not round intermediate calculations. round your final answer to 4 decimal places.) c. what is the probability that at least six but no more than ten of the college graduates plan to pursue a graduate degree? (do not round intermediate calculations. round your final answer to 4 decimal places.)
Answers
The probability that no more than four of the college graduates plan to pursue a graduate degree is approximately 0.1437. b. X= 7 = 0.2004.
What is binomial distribution?With a set number of independent trials, each of which has just two potential outcomes—success or failure—a binomial distribution defines the number of successes. The chance of success, represented by p, and the number of trials, denoted by n, are the two factors that define the distribution.
Given that, 58% of recent college graduates plan on pursuing a graduate degree.
Using the binomial probability formula we have:
[tex]P(X \leq 4) = \sum (i = 0 \to 4) (n C i) * p^i * (1 - p)^{(n-i)}\\\\[/tex]
Here, n = 13, p = 0.58.
[tex]P(X \leq 4) = Σ(i = 0 \to 4) (13 C i) * 0.58^i * (1 - 0.58)^{(13-i)}= 0.1437[/tex]
Hence, the probability that no more than four of the college graduates plan to pursue a graduate degree is approximately 0.1437.
b. For X = 7:
[tex]P(X = 7) = (13 C 7) * 0.58^7 * (1 - 0.58)^{(13-7)}= 0.2004[/tex]
Hence, the probability that exactly seven of the college graduates plan to pursue a graduate degree is approximately 0.2004.
Learn more about binomial distributions here:
https://brainly.com/question/14565246
#SPJ1
two positive whole numbers greater than 1 multiply to 576 and have no common factors other than 1. what is the sum of those two numbers?
Answers
Thus, the two positive whole numbers that are greater than one multiply to 576 and share only the number one in common is 5.
Explain about the positive whole numbers?One of the categories that mathematicians have created for numbers is titled whole numbers, and it contains all of the numbers from 0 to infinity.
The specific class or collection of numbers known as whole numbers includes:
Are all positive numbers with no fractional or decimal parts, including zero.Positive numbers with no decimal or fractional portions are referred to as whole numbers, including zero. They are numerical representations of whole, unbroken things. The set of whole numbers is mathematically represented by the numbers 0 through 9.Two positive whole numbers greater than 1 are 2 and 3.
2 and 3 does not have any common factor except 1.
sum of 2 and 3 = 5
Thus, the two positive whole integers that are greater than one multiply to 576 and share only the number one in common is 5.
Know more about the positive whole numbers
https://brainly.com/question/30765230
#SPJ1
PLEASE HURRY !! I NEED HELP!!!
Answers
Answer:$10
Step-by-step explanation: We are given the ratio 9:1. Meaning for every 9 dollars he spends on healthy food, he can spend a dollar on snacks. If he intends on paying 100 dollars total, how much will he spend on snacks?
He would have spent 90 dollars on healthy food, and 10 dollars on snack food. Totaling 100 dollars.
using the rule of 72, how long will it take $100,000 to equal $200,000 if you can earn 14% annually? question 40 options: 5.1429 years 4.1529 years 2.78 years 1.38 years
Answers
The Rule of 72 is a simple mathematical formula that allows investors to quickly estimate the number of years required for an investment to double in value.
To use this formula, we divide the number 72 by the annual interest rate earned on the investment.
The result is an estimate of the number of years it would take for the investment to double in value. For example, if an investment earns an annual interest rate of 8%, it would take approximately nine years for the investment to double in value (72 divided by 8 equals 9).The Rule of 72 is a useful tool for investors who want to quickly estimate the potential growth of their investments.However, it is important to note that this formula provides only an estimate, and the actual time required for an investment to double in value will depend on a variety of factors, such as market conditions, investment fees, and taxes.
Nevertheless, the Rule of 72 can be a helpful starting point for investors who want to set realistic expectations for their investments.
To learn more about “investment” refer to the https://brainly.com/question/29547577
#SPJ11
help i will give alot of points
Answers
According to the information, the surface area of the prism is 3200 square meters.
How to find surface area of the prism?To find the surface area of the prism, we need to add up the areas of all its faces.
The prism has 2 triangle sides with a height of 15m and a base of 40m. The area of each triangle can be calculated using the formula A = 1/2 × b × h, where b is the base and h is the height of the triangle. So, the total area of these two triangles is:
A = 2 × 1/2 × 40m × 15mA = 600m^2The prism also has 2 triangle sides with a height of 25m and a base of 40m. The total area of these two triangles is:
A = 2 × 1/2 × 40m × 25mA = 1000m^2Finally, the prism has 2 rectangular sides with a height of 40m and a base of 40m. The area of each rectangle is simply the product of its height and base, so the total area of these two rectangles is:
A = 2 × 40m × 40mA = 1600m^2To find the total surface area of the prism, we add up the areas of all its faces:
Total surface area = 600m^2 + 1000m^2 + 1600m^2Total surface area = 3200m^2Therefore, the surface area of the prism is 3200 square meters.
Learn more about surface area in: https://brainly.com/question/29101132
#SPJ1
The length of one of the legs of a right triangle is 7. The lengths of the other two sides are consecutive integers. Use the Pythagorean theorem to solve for the smaller of the two missing sides (the second leg).
Answers
Answer: 24
Step-by-step explanation:
Write out problem using Pythagorean Theorem: [tex]7^2+x^2=(x+1)^2[/tex]
Simplify and expand right side: [tex]49+x^2=x^2 + 2x + 1[/tex]
Subtract [tex]x^2[/tex] from both sides: [tex]49 = 2x + 1[/tex]
Subtract 1 from both sides: [tex]48=2x[/tex]
Divide by 2 on both sides: [tex]24 = x[/tex]
[tex]x = 24[/tex]
Juan spent 10 minutes on his history homework and 3 minutes per question on his math homework. Which graph shows the total homework time, t, related to the number of math questions, q?
Discrete graph on a coordinate plane shows number of math questions, numbered 1 to 8 along the horizontal axis, and total homework time, numbered 5 to 40, on the vertical axis. Solid circles appear at points (0, 10), (1, 13), (2, 15), (3, 19), (4, 22), (5, 25), (6, 29), (7, 32), (8, 34).
Continuous graph on a coordinate plane shows number of math questions, numbered 1 to 8 along the horizontal axis, and total homework time, numbered 5 to 40, on the vertical axis. Solid circles appear at points (0, 10), (1, 13), (2, 15), (3, 19), (4, 22), (5, 25), (6, 29), (7, 32), (8, 34).
Discrete graph on a coordinate plane shows number of math questions, numbered 1 to 8 along the horizontal axis, and total homework time, numbered 3 to 24, on the vertical axis. Solid circles appear at points (0, 0), (1, 3), (2, 6), (3, 9), (4, 12), (5, 15), (6, 18), (7, 21), (8, 24).
Answers
Answer:Graph attached below. : Given : Juan spent 10 minutes on his history homework and 3 minutes per question on his math homeworkWe have to plot the graph that shows the total homework time, t, related to the number of math questions, q.Since, t denotes the total homework time taken by Juanand q denotes the number of math questions done by JuanThen we can represent the situation using a linear equation.Since he spent 10 minutes on his history homework and 3 minutes per question on his math homework.Then q questions take 3q timeand 10 minutes are fixed so, Total time is given by equation t = 10 + 3qAnd graph for the equation is attached below.
Step-by-step explanation:
Answer: Its A (the one all the way to the left)
explanation: Just guessed
assume that 50 million households in the u.s. watched a particular show at 9:00 pm, and 90 million households had their television sets turned on at 9:00 p.m. calculate the share of audience.
Answers
The share of audience for the particular show at 9:00 pm is 55.56% for 50 million households.
We need to know the number of households that watched the programme and the total number of households with televisions on at 9:00 p.m. in order to determine the proportion of audience for that programme.
In this instance, it is stated that 90 million homes had their televisions on at 9:00 p.m. in addition to 50 million households watching the programme. Consequently, the following formula can be used to determine the show's viewership share:
Share of audience is calculated as follows: (Number of households that watched the programme / Total number of households with TVs on) x 100%
= 100% x (50 million / 90 million)
= 55.56%
As a result, 55.56% of the audience watched the specific show at 9:00 p.m. This indicates that the programme was viewed by more than half of the homes with on-air televisions at the time.
The share of audience is a crucial measurement in television ratings since it aids networks and advertisers in understanding how popular a show is and how far it might be able to reach the intended audience.
Learn more about million here:
https://brainly.com/question/29157056
#SPJ4
5.
Ka'mya is planning a zoo which will be built on the Oregon coast. Each carnivore (a meat eating animal) will
cost $30 each week to feed, and each herbivore (a plant eating animal) will cost $10 each week to feed.
Her starting budget for feeding all of the animals is $360 per week. The location for the zoo will have
room for 24 animals. How many carnivores and how many herbivores should she plan on having in her zoo?
Answers
Answer:
6 carnivore's and 18 herbivore's
Step-by-step explanation:
johnny read 30 pageson monday. opn tuesday he read 1/8 of the book. on wednesday he read the remaining 1/4. how many pages
Answers
Johnny read 30 pages on Monday. On Tuesday he read 1/8 of the book. On Wednesday he read the remaining 1/4. How many pages did he read in total?To find out how many pages Johnny read in total, we need to first determine the total number of pages in the book. We know that he read 1/8 of the book on Tuesday and the remaining 1/4 on Wednesday. So we can add these two fractions to find out the total fraction of the book that he read:1/8 + 1/4 = 3/8Now we know that Johnny read 3/8 of the book. We can use this information to set up a proportion to find out how many pages he read in total:3/8 = x/total number of pagesTo solve for x, we can cross-multiply and simplify:3/8 * total number of pages = xMultiply both sides by 8/3:total number of pages = x * 8/3Now we need to find out what x is. We know that Johnny read 30 pages on Monday, which is 1/8 of the total number of pages. So we can use this information to set up another proportion:1/8 = 30/total number of pagesTo solve for the total number of pages, we can cross-multiply and simplify:1/8 * total number of pages = 30Multiply both sides by 8:total number of pages = 240Now we can substitute this value for the total number of pages in our previous equation to find out how many pages Johnny read in total:total number of pages = x * 8/3240 = x * 8/3Multiply both sides by 3/8:x = 90Therefore, Johnny read a total of 30 + 90 = 120 pages.
cindy and tom, working together, can weed the garden in 6 hours. working alone, tom takes three times as long as cindy. how many hours does it take cindy to weed the garden alone? round your answer to two decimal places, if needed.
Answers
The main answer is that it takes Cindy 4 hours to weed the garden alone, which was found using the equation 1/x + 1/(3x) = 1/6 where x is the time it takes Cindy to weed the garden alone.
Let x be the time it takes Cindy to weed the garden alone. Then, it takes Tom 3x time to weed the garden alone. Using the formula for the work done by each person, we can create an equation in terms of x:
1/x + 1/(3x) = 1/6
Solving for x, we get:
x = 4 hours
Therefore, it takes Cindy 4 hours to weed the garden alone.
Learn more about algebra here: brainly.com/question/24875240
#SPJ4
Which of the contexts below represents exponential growth?
A town's population shrinks at a rate of 8.1% every year.
A taxi charges a flat fee of $3.00 for pick-up, then an additional fee of $2.75 per mile.
A town's population grows at a rate of 4% every year.
A radioactive compound decays at a rate of 5% per hour.
Answers
The exponential function [tex]P(t) = P0 \times 1.04^t[/tex] represents the exponential growth of Option C: A town's population grows at a rate of 4% every year.
What is an exponential function?
The formula for an exponential function is [tex]f(x) = a^x[/tex], where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.
The context that represents exponential growth is "A town's population grows at a rate of 4% every year."
Exponential growth occurs when a quantity grows at an increasing rate over time, which is exactly what is happening with the population of the town.
As the population grows, the growth rate also increases, resulting in an exponential increase over time.
Let P(t) be the population of the town after t years, where t is a positive integer.
The exponential function that models the population growth is -
[tex]P(t) = P0 \times (1 + r)^t[/tex]
where P0 is the initial population, r is the growth rate as a decimal, and t is the time in years.
In this case, the growth rate is 4% per year, which can be written as a decimal as r = 0.04.
Therefore, the exponential function for the town's population growth is -
[tex]P(t) = P0 \times (1 + 0.04)^t[/tex]
Simplifying the expression, we get -
[tex]P(t) = P0 \times 1.04^t[/tex]
This function can be used to calculate the population of the town after a given number of years, assuming the growth rate remains constant.
In contrast, the other contexts represent either a steady decrease (town's population shrinking at a rate of 8.1% per year and the radioactive compound decaying at a rate of 5% per hour) or a linear increase (taxi charges a flat fee of $3.00 for pick-up, then an additional fee of $2.75 per mile).
Therefore, the exponential growth is displayed by town's population growing 4% every year.
To learn more about exponential function from the given link
brainly.com/question/12626186
#SPJ1
What function is represented by the graph
Answers
The function [tex]f(x)=(x-5)(x-2)(x+1)[/tex] represents the graph.
What is graph?
A graph is a visual representation of data or a mathematical function, usually plotted on a coordinate plane. It is a way to display information in a clear and concise manner, making it easier to analyze and interpret.
From the graph, it can be observed that the function intersects the x-axis at three points, namely x=-1, 2, and 5. Therefore, these values are considered to be the zeros of the function.
According to the definition, if c is a zero of a function f(x), then (x-c) is a factor of f(x). Applying this definition, we can infer that (x+1), (x-2), and (x-5) are the factors of the given function.
In summary, the zeros of the function are -1, 2, and 5, and the corresponding factors of the function are (x+1), (x-2), and (x-5).
Therefore the function [tex]f(x)=(x-5)(x-2)(x+1)[/tex] represents the graph.
To learn more about graph visit:
https://brainly.com/question/1638242
#SPJ1
PLS I HAVE TO TURN ALL OF THIS IN BY LIKE TONIGHT
Answers
Answer:
1. irrational
2. irrational
3. rational
4. rational
5. irrational
6. rational
Step-by-step explanation:
A rational number includes any whole number, fraction, or decimal that ends or repeats. An irrational number is any number that cannot be turned into a fraction.
1.) pi is a never ending number which means that, according to the definition above, it must be IRRATIONAL
2.) the line above the 46 means that it is repeating, making it IRRATIONAL
3.) the square root of 100 is 10, making it RATIONAL
4.) -16 is an integer (a whole number that can be positive, negative, or zero), making it RATIONAL
5.) the square root of 21 results in a long decimal that cannot be converted into a fraction, by the definition above, it is IRRATIONAL
6.) 10 is a whole number, making it RATIONAL
How to elimination 18x-6y=-20 -9x+3y=15
Answers
The elimination of the equations 18x-6y=-20 and -9x+3y=15 is 0 = 10, which is a contradiction. This means that there is no solution to the system of equations.
What is an elimination?
To eliminate one of the variables, we need to manipulate one or both of the equations so that when we add them together, one of the variables is eliminated.
Let's start with the given equations:
18x - 6y = -20
-9x + 3y = 15
We can see that the coefficients of y in both equations are opposite, which means we can eliminate y by adding the two equations together. However, we need to make sure the coefficients of y have the same absolute value, so we'll multiply the second equation by 2:
18x - 6y = -20
-18x + 6y = 30
Now we can add the two equations together:
0x + 0y = 10
This equation simplifies to 0 = 10, which is a contradiction. This means that there is no solution to the system of equations. In other words, the two equations represent two parallel lines that never intersect.
Alternatively, we can recognize that the two equations represent the same line when simplified, since the second equation is simply half of the first equation. In this case, there are infinitely many solutions, since any point on the line satisfies both equations.
To know more about elimination, visit:
https://brainly.com/question/13815753
#SPJ9
Complete question is: The elimination of the equations 18x-6y=-20 and -9x+3y=15 is 0 = 10.
Lebo decided to rather buy a new lounge suite for R42 000. She paid a 15% cash deposit and the balance is paid through a hire purchase loan agreement. She repays the loan over 4 years at an interest rate of 19% p.a. on the full amount of the loan. Calculate her monthly instalments over the 4 year period.
Answers
Answer:
Step-by-step explanation:
First you need to find the balance amount that she paid in instalments which is 42000 * 15% which is equalled to 6300.
Then you need to minus 42000 - 6300 as 630l is the price she paid as cash deposit which is equalled 35700.
Now, to find the interest the formula is I = p * r/100 which equalled 7890 for a year. To calculate her monthly instalments, you have to divide 7890 divided by 12 months which equals 665.
Pls help answer with good detailed explanation
Answers
Order the angles from greatest to least
Answers
The side opposite to angle Y is the longest, and angle Y is the largest angle in triangle XYZ. So, the angles can be ordered from greatest to least as follows:
angle Y > angle Z > angle X.
What is triangle ?
A triangle is a three-sided polygon, or a closed two-dimensional shape with three straight sides and three angles. The sum of the angles in a triangle always adds up to 180 degrees. The sides of a triangle can be of different lengths, and the angles can be acute (less than 90 degrees), right (equal to 90 degrees), or obtuse (greater than 90 degrees).
To order the angles from greatest to least in triangle XYZ, we need to determine which side is the longest. By the Law of Cosines, we know that:
[tex]c^2 = a^2 + b^2 - 2ab*cos(C)[/tex]
where c is the side opposite to angle C, and a and b are the other two sides.
So, let's calculate [tex]c^2[/tex] for each angle:
For angle X: [tex]c^2 = 25^2 + 27^2 - 2(25)(27)*cos(X)[/tex] ≈ 173.65
For angle Y: [tex]c^2 = 24^2 + 27^2 - 2(24)(27)*cos(Y)[/tex] ≈ 267.43
For angle Z: [tex]c^2 = 24^2 + 25^2 - 2(24)(25)*cos(Z)[/tex] ≈ 121.97
Therefore, the side opposite to angle Y is the longest, and angle Y is the largest angle in triangle XYZ. So, the angles can be ordered from greatest to least as follows:
angle Y > angle Z > angle X
To know more about triangle visit:
https://brainly.com/question/1058720
#SPJ1
It takes Rosita 32 hours to drywall a basement by herself and 18 hours if Paola helps her. How long would it take Paola to drywall the basement by herself? Round your answer to the nearest hour.
Answers
If Rosita takes 32 hours to do the job by herself, then her work rate is 1/32 of the job per hour. Similarly, if Rosita and Paola work together, their combined work rate is 1/18 of the job per hour.
Using the idea of work rates, we can set up the following equation:
(1/32) + (1/x) = (1/18)
To solve for "x", we can begin by multiplying both sides of the equation by the least common multiple of the denominators of the fractions, which is 288:
9 + 288/x = 16
Subtracting 9 from both sides, we get:
288/x = 7
Multiplying both sides by "x", we get:
288 = 7x
Dividing both sides by 7, we get:
x = 41.14
Rounding to the nearest hour, we get that it would take Paola approximately 41 hours to drywall the basement by herself.