The step which is included in the graph of the function is Option(a)
y=-5 for -4≤ x <-3.
What is the greatest integer function?A function that yields an integer that is closest to the input real number is said to be the greatest integer function. The step function is another name for it. When rounding a number, the greatest integer function chooses the integer less than or equal to a given number. It is symbolized by the letter [x] where x can represent any number.The greatest integer function has R as its domain and Z as its range.From the properties of the greatest integer function y = [x], we know that
y = 0 for, 0 ≤ x < 1
y = -1 for, - 1 ≤ x < 0
y = -2 for, - 2 ≤ x < -1
Here,we are given a greatest integer function f(x) or y =[x-1]
Hence, the step which is included in the graph of the function is
y=-5 for -4 ≤ x <-3.
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Solve the inequality.
|4x - 1| ≥ 23
I need some help if anyone knows it!
The value of the inequality |4x - 1| ≥ 23 will be
x ≥ 6.
How to calculate the inequality?It should be noted that the inequality given is expressed as:
|4x - 1| ≥ 23
This will be
|4x - 1| ≥ 23
4x ≥ 23 + 1
4x ≥ 24
Divide
4x/4 ≥ 24/4
x ≥ 6
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show the work for 6 4/5 - 2 1/3=
Answer:
4 7/15
Step-by-step explanation:
To subtract two fractions we need to have them have the same division by, which means the lower part of the fraction needs to be the same. To do that we would need to find a common denominator between 3 and 5, a number that can be both divided by 3 and 5. To figure common denominator for 5 and other nimbery just multiply the other number by 5: 3*5=15. so now we need to multiply both fractions by a number to get lower part to 15, so 4*3/5*3=12/15 and 1*5/3*5=5/15. Now we have 6 12/15 - 2 5/15 = 4 7/15.
Ceasar has several small clay pots. He wants to display them in order of height,
from shortest to tallest. What will be the order of the pots?
The clay pots ordered from shortest to tallest is √5 inches, 2 1/3 inches. 2.5 inches, √8 inches.
What is the order of the pots?In order to arrange the clay pots in order of height, all the heights have to be converted to decimals.
A decimal is a number that is made up of an integer and non-integer. The non-integer are separated from the integers with a decimal point. An example of a decimal is 1.1.
√8 = 2.83
2 1/3 = 2.33 in
√5 = 2.24 in
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The current student population of Philadelphia is 1500. If the population increase at a rate of 10% each
year. What will the student population be in 7 years?
Write an exponential growth model for the future population (y): y =
What will the population be in 7 years? (Round to nearest student)
The exponential growth model for the future population is given as [tex]y = 1500(1.1)^{t}[/tex] and the student population after 7 years is 2923.06.
The general expression for the exponential growth is given as :
[tex]y = a(1+r)^{t}[/tex]
where, a = initial amount or current student population of Philadelphia
r = rate
t = time in years.
According to the question we have been given that
a = 1500
r = 0.1
putting the required values in above equation we get
[tex]y = 1500 (1+0.1)^{t}\\y = 1500(1.1)^{t}[/tex]
Hence the exponential growth model for the future population is given as :
[tex]y = 1500(1.1)^{t}[/tex]
For the population in 7 years is :
[tex]y = 1500(1.1)^{7}\\y = 1500*1.949\\y = 2923.06[/tex]
hence the student population after 7 years is 2923.06
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Assuming you have four points, no three of which are collinear, how many unique straight lines can be drawn?
Answer:
6 lines.
Step-by-step explanation:
Estimate the difference between 9493 take away 2324
The difference between 9493 take away 2324 is equal to = 7169.
The difference between 9493 take away 2324
Difference in math is the result of one of the important mathematical operations, which is obtained by subtracting two numbers. It tells us by how much a number differs from the other. The aim of finding the difference in math is to tell how many numbers lie between the two given numbers.
Set difference is a generalization of the idea of the complement of a set and as such is sometimes called the relative complement of T with respect to S. The symmetric difference between two sets S and T is the union of S – T and T – S.
Based on the conditions, formulate :
Let us assume,
The difference between value = x
We can write,
x = 9493 - 2324
Calculate the sum or difference,
x = 7169.
Therefore,
The difference between 9493 take away 2324 is equal to = 7169.
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The point (4,5) lies on a circle. What is
the diameter of this circle if the center is
located at (7,9)
well, we know the center of the circle is at (7 , 9), and we also know that a point right on the circle is at (4 ,5), now, the distance between those two points is simply the radius, keeping in mind that the diameter is simply twice the radius
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{7}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{(~~4 - 7~~)^2 + (~~5 - 9~~)^2} \implies r=\sqrt{(4 -7)^2 + (5 -9)^2} \\\\\\ r=\sqrt{( -3 )^2 + ( -4 )^2} \implies r=\sqrt{ 9 + 16 } \implies r=5~\hfill \underset{diameter}{\stackrel{2(5)}{10}}[/tex]
Mackenzie needed to get her computer fixed. She took it to the repair store. The
technician at the store worked on the computer for 2.75 hours and charged her $181
for parts. The total was $249.75. Write and solve an equation which can be used to
determine 2, the cost of the labor per hour.
The cost of the lab per hour is $25.
How to determine the cost of the labor per hour?
Here we know that they charged a total of $249.75, and the cost in parts was $181, then the cost in labor is:
$249.75 - $181 = $68.75
And we know that they worked for 2.75 hours, the cost per hour is given by the quotient between the cost in labor and the number of hours, then we can get:
$68.75/2.75 = $25
So we can see that the cost of the lab per hour is $25.
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Identify the domain of the graph.
Answer:
what graph but domain is the x axis
Step-by-step explanation:
Desperate need of help: What are the solutions to -4|x - 1| + 3 = -1?
that the answer you welcome
......... .. . . . . . . . . .
If a scheme starts with one person who recruits 4 members, and then those 4 members must recruit 4 new members each in one day,
and so on. Write a function N(t) to represent the number of members in the scheme after t days.
A function N(t) to represent the number of members in the scheme after t days is given as:
N(t) = 2ˣ (where, x = 0, 2, 4 , 6 ....)
What is defined as the function?A function is described as the connection between a set of inputs that each have one output. A function is a correlation between inputs in which each input is linked to precisely one output. Each function has a domain as well as a codomain, as well as a range. In general, a function is denoted by f(x), in which x is the input.For the given statements in the question;
The scheme starts with 1 person who recruits 4 person.
Then, the next 4 person will their respective 4 recruits.
Thus, the sequence will become;
1, 4, 16, 64.....
Thus sequence can be written as;
2⁰, 2², 2⁴, 2⁶,.....
Thus, in the function form it represents;
2ˣ (where, x = 0, 2, 4 , 6 ....)
Thus, a function N(t) to demonstrate the total number of scheme members after t days is;
N(t) = 2ˣ (where, x = 0, 2, 4 , 6 ....)
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3/4 x 6/17 in its simplest form
Answer: 9/34
Step-by-step explanation:
3/4 x 6/17=
3*6/(4*17)=
18/68=9/34
Suppose that 27 slips of paper numbered 1 to 27, inclusive, are put into a hat. Then one is drawn out at random. Find the probability of getting slip 12 and even numbers and prime numbers
The probability of getting-
slip 12 = 1/27even numbers = 13/27, andprime numbers = 1/3.What is meant by probability?Probability is the measure of how likely an event is to occur. Many events are impossible to predict to absolute certainty. We can only predict the possibility of an event occurring, i.e. how likely it is to occur, using it.
The formula for probability is;
Probability(event) = favourable outcome/ total outcome
Now, as per the given question;
There are 27 papers put in a hat numbering from 1 to 27.
The sample space will be;
s = {1,,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27}
The total outcome is 27.
The total number of 12 digit in the sample space is 1.
Thus, the probability for getting slip 12 is;
Probability(slip 12) = 1/27
The sample space for even number are;
s = {2,4,6,8,10,12,14,16,18,20,22,24,26}
Now, there are total number of even digits in the sample space is 13.
Thus, the probability for getting even number is;
Probability(even) = 13/27.
The sample space for prime number are;
s = {2,3,5,7,11,13,17,19,23}
Noe, the total number of prime digits in the sample space is 9.
Thus, the probability for getting prime number is;
Probability(prime) = 9/27 = 1/3
Therefore, the probability for getting the prime number is 1/3.
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Write 7.83 x 10^-3 in standard notation
What’s the correct answer answer asap
Answer:
A. is incorrect
Step-by-step explanation:
If the standard deviation of the data values in a sample is 19, what is the
variance of the data values?
A. 225
B. 169
C. 289
D. 361
Answer:
D
Step-by-step explanation:
S. D =√V
:.V=S. D^2
V=19^2
V=361
Death Valley sits at an elevation of 212 3/4 feet below sea level. Mt humpherys has an elevation of 13,918 feet. What is the chnage in elevation between the two locations. Show your work?
Hello can someone help me with this, please helping with 1 would help me so much
The characteristics of the undefined geometric terms are as follows;
Across
2. Planes can also be labeled with a capital letter that isn't connected to a point.
6 Points that are not on the same line are non–colinear
7 Points, lines, and planes are undefined terms
8 A portion of a line containing two endpoints that can be measured is a segment.
9 Direction matters when labelling this geometric figure. A ray
12 These are always measured using one capital letter. A point.
13. These pair of lines have the same slope value. Parallel lines
14 A plane is usually labeled with this number of points. Three points
15 Lines and points sharing the same plane are coplanar lines and points.
Down
1 The symbols of a segment has arrows on each end. False
2 These intersect at either endpoints and resemble a line. Rays
3 Points that are on the same line are considered this. Colinear points
4 This line pair form a 90° angle when they intersect. Perpendicular lines
5 When two lines intersect they form a point. False
10 These can be labeled with one lower case letter. A plane
11. When two of these intersect they form a line. Rays
What are undefined terms in geometry?Undefined terms are terms in geometry which are only given an elucidation or a description. Other terms can be defined using the undefined terms.
Across
2 The methods of naming a plane includes;
One capital letter, written in script format.The letters of three points on the plane.6 When points are not on the same line or on the same plane, they are known as non–colinear or non–coplanar respectively.
7 undefined terms includes, points lines and planes
8 A segment has two endpoints and represents a portion of a line.
9 A ray is labeled by including the letter representing the endpoints first and then a letter representing any other point on the ray.
12 A point is labeled by using a capital letter
13 Parallel lines extends continuously without meeting, therefore they form the same corresponding angles with a common transversal and have the same slope
14 The labels of three points in space can be used to label the plane which the points are located.
15 The term used to describe lines and points sharing the same plane are coplanar lines and coplanar points respectively
Down
1 The symbol of a segment has a dot marking at each end.
2 When the endpoints of two parallel rays intersect, the geometric figure formed resembles a line
3 Colinear points are points that are on a line
4 Perpendicular lines are lines oriented 90 degrees relative to each other
5 An angle is formed by the intersection of two lines
10 A line can be labeled with one lower case letter
11 When the endpoints of two parallel rays facing opposite directions intersect, they form a line
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as 9 hundreds is 9 thousands
Answer:
10 as 9 hundreds is 9 thousand.
Step-by-step explanation:
The digit is 9 thousand which can be written as 9,000
It can also be written as,
9,000 = 9 x 1000
or ,9,000 = 9 x 10 x 100
So, to require 9 hundreds multiply 9 by 100 in the expression above
9,000 = 10 x 900
And so Ten as 9 hundreds are 9 thousand.
The larger of two numbers is 3 fewer than 4 times the smaller number. If the
sum of the two numbers is 32, find the two numbers.
Answer:
25 and 7
Step-by-step explanation:
You want to find two numbers with a sum of 32 such that the larger is 3 less than 4 times the smaller.
SetupLet s represent the smaller number. Then the larger is (4s-3) and their sum is ...
s +(4s -3) = 32
SolutionCollect terms to get ...
5s -3 = 32
5s = 35 . . . . . . . add 3
s = 7 . . . . . . . divide by 5
4s-3 = 28-3 = 25 . . . . the larger number
The two numbers are 7 and 25.
A bag 2 contains 2 red marbles, 2 green marbles, and 4 blue marbles.
If we choose a marble, then another marble without putting the first one back in the bag, what
is the probability that the first marble will be red and the second will be green?
The value of the probability is 0.0714.
According to the statement
We have to find that the students' favorite color was red.
So, For this purpose, we know that the
Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.
From the given information:
A bag 2 contains 2 red marbles, 2 green marbles, and 4 blue marbles.If we choose a marble, then another marble without putting the first one back in the bag.
Then
A bag contains 2+2+4=8 marbles in total.
We have to search out the probability of the subsequent events:
1. we've to settle on a red marble from the bag that contains 8 marbles in total, 2 of them are red
2. we've to decide on a green marble from the bag that contains 7 marbles in total, 2 of them are green.
The probability of the primary event to happens is:
P(one) = 2/8 = 1/4.
The probability of the second event to happen is:
P(two) = 2/7
The probability of both events to happen is:
P = P(one) * P(two)
P = 1/4 * 2/7
P = 1/14
P = 0.0714.
So, The value of the probability is 0.0714.
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I REALLY need help asap !
Answer:
17 miles I hope this helps have a good day/night
Can somebody help me if you know what this is
Answer:
Your answer would be [tex]f^{-1} (x)=\frac{2x}{x-1}[/tex]
Step-by-step explanation:
[tex]f^{-1} (x)=\frac{2x}{x-1}[/tex]
[tex]= f^{-1} (x)=\frac{2x}{x-1}[/tex]
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Suppose a video store charges nonmembers $4 to rent each video. A store membership costs $21, and members pay only $2.50 to rent each video. For what number of videos is the cost the same?
Answer:
14 videos
Step-by-step explanation:
4n=21+2.5n
1.5n=21
n=21/1.5
n=14
Answer:
14 Videos
Step-by-step explanation:
Let x be the number of videos rentable.
From the information given from the question, we know that:
Case A: Non-members
Cost to rent videos = $4x
Case B: Members
Cost to rent videos = $(21 + 2.5x)
So given from the question, we can use:
4x = 21 + 2.5x to solve for x.
[tex]4x = 21 + 2.5x \\ 4x - 2.5x = 21 + 2.5x - 2.5x \\ 1.5x = 21 \\ x = \frac{21}{1.5} \\ = 14[/tex]
Write this number using digits:
twenty-eight thousand, nine hundred twenty-seven
Answer:
28,927
Step-by-step explanation:
just use common knowledge in your number plot such as 10s, 100s, and 1000s. Then use the numbers 28000+900+27 and your answer is solved.
andy wants to put a square fence in his yard for his pet . He waants to have an area of 100 ft, how many feet of fencing would he need?
Answer:
Length of the fence = 40 ft
Step-by-step explanation:
As the yard for the pet is square shaped with area 100 sq. ft, length of each side is given by
[tex]\sf side =\sqrt{area}\\\\ side = \sqrt{100}[/tex]
= 10 ft
Perimeter:
Perimeter of square = 4 *side
= 4 * 10
= 40 ft
Convert the given rectangular
coordinates into polar
coordinates.
(-7, 4)
Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
hi the RTA: is -14,8+
According to the U.S. Bureau of Labor Statistics (BLS), 10.7% of workers belonged to unions in 2017. By 2018,
union membership had fallen by 0.2 percentage points. Calculate the percentage change in union membership
between 2017 and 2018. Show your work. Round your result to one decimal place.
Using it's concept, the percentage change in union membership between 2017 and 2018 was of -1.9%.
How to find the percent change of an amount?The percent change of an amount is given by the change divided by the initial amount.
For this problem, the parameters are given as follows:
Change: -0.2%.Initial amount: 10.7%.Hence the percentage change is given by:
-0.2/10.7 = -0.019 = -1.9%.
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A bank charges 12% Simple interest p.a on cash loans to its clients.tito has asked for R10000loan amount and has promised to repay the the loan over 4years
Calculate the interest which Tito has to pay on loan ?
Determine the total amount to be paid back
Determine the monthly repayment amount
If Tito took a loan of $10000 from a bank to be repaid within 4 years, at 12% Simple interest per annum, then, he will have to pay overall $4800 as interest to the bank over 4 years and a total payment of $14800 at the end of the 4th year to repay and close off the loan.
As per the question statement, a bank charges 12% Simple interest per annum on cash loans to its clients and Tito took a loan of $10000 from the same bank to be repaid within 4 years.
We are required to calculate the overall interest Tito has to pay to bank if he repays and closes the loan at the end of 4th year, and also to calculate the total payment required to repay and close off the loan at the end of the 4th year.
To solve this question, we need to know the formula to calculate the interest amount in case of simple interest which goes as
Interest (I) [tex]=(\frac{P*R*T}{100} )[/tex]
where, "P" = Principle amount of Loan,
"R" = Rate of simple interest charged on the principle per annum, and
"T" = Time period within which, the loan is to be repaid.
Here, (P = 10000), (R = 12%) and (T = 4). Then, the overall interest Tito will have to pay at the end of 4th year = [tex](\frac{10000*12*4}{100}) = (100*12*4)=(48*100)=4800[/tex]
And total amount to be paid to repay and close of the loan at the end of 4th year will be = $[4800 + 10000] = $14800.
Simple interest: As the name itself suggests, "Simple" interest refers to the straightforward crediting of cash flows associated with some investment or deposit.To learn more about Simple Interest, click on the link below.
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Find the equation of the linear function k that has k(-20) = -17 and that is perpendicular to m (r) = 1/4r+36
Answer: k(x)=-4x+63
Step-by-step explanation:
Perpendicular slopes are opposite reciprocals of each other.
(1/4)^(-1)=4
4*(-1)=-4
k(x)=4x+b
k(-20)=4(-20)+b
-17=4(-20)+b
-17=-80+b
b=63
k(x)=-4x+63