Answer:
3. (x | x > 5)
Step-by-step explanation:
To solve this inequality, we need to isolate the variable on one side and the constant on the other side. To do this, we need to use the properties of inequalities and the order of operations to manipulate the given inequality into a form we can solve.
First, we need to distribute the coefficients in front of the parentheses on the left-hand side of the inequality. This gives us:
4x - 12 - 2x + 2 > 0
Next, we can combine like terms on the left-hand side of the inequality by adding the terms with the variable and subtracting the constant terms. This gives us:
2x - 10 > 0
Now, we have isolated the variable on one side of the inequality and the constant on the other side. To solve the inequality, we need to determine the values of x that make the inequality true.
To do this, we can divide both sides of the inequality by the coefficient of the variable, which gives us:
x - 5 > 0
This inequality is satisfied when x is greater than 5. Therefore, the solution to the original inequality is x > 5.
Which expressions are equivalent
Answer:
b and c
Step-by-step explanation:
4. in the above system of equations, d and b are nonzero constants. if the lines intersect at (2, b), what is the value of ,4?
The point (x, y) where the lines intersect is (0, 0).
What is lines intersect?
The empty set, a point, or another line can cross another line in Euclidean geometry. Examples of applications for identifying these circumstances and locating the intersection include computer graphics, motion planning, and collision detection.
We have the linear system:
y = r[tex]\times[/tex]x
y = s[tex]\times[/tex]x
We want to find the point where the lines intersect,
We know that
r[tex]\times[/tex]x = y = s[tex]\times[/tex]x
r[tex]\times[/tex]x = s[tex]\times[/tex]x
if r and s are different numbers (if r = s, this means that the two lines are the same line)
Then we have that the equality is only true when x = 0.
this means that the value of y is.
y = s[tex]\times[/tex]0 = r[tex]\times[/tex]0 = 0
So the point (x, y) where the lines intersect is (0, 0).
To learn more about lines intersect visit:https://brainly.com/question/11297403
#SPJ4
Doug can paint a room in 5 hours. Dave can paint the same room in 7 hours. Doug and Dave paint the room together and take a one-hour break for lunch. Let $t$ be the total time, in hours, required for them to complete the job working together, including lunch. Which of the following equations is satisfied by t?
On solving the provided question, Since rate multiplied by time gives output, 1/5+1/7 (t-1)=1
What is equation?A formula is a statement that the values of two expressions are equal. The formula essentially says that two things are equal. An equals sign or '=' indicates that. 8+2=12-2 is an example equation. According to the above formula, the left side of the formula is equal to the right side. So the equation is the statement "this is equal to that".
Doug can paint 1/5 of a room per hour, Dave can paint 1/7 of a room per hour, and the time they spend working together is t-1.
Since rate multiplied by time gives output, 1/5+1/7 (t-1)=1
To know more about equation visit:
https://brainly.com/question/29657992
#SPJ4
the lucas primality test is based on one finding of this man who pioneered the method of infinite descent. that result is a specific case of a theorem that takes an element to the totient function of n-1, euler's theorem. numbers for which the converse of that theorem do not hold are called carmichael
The name of this man's "small" and "final" theorems are Pierre de Fermat
He was a French mathematician who is recognized for his work on inequality and other early advances that helped pave the way for infinitesimal calculus. He is praised in particular for his work on number theory and his original invention of a technique for determining the largest and smallest ordinates of curved lines that is comparable to differential calculus, which was previously unheard of. He made important advances in probability, optics, and analytical geometry.
The Taniyama-Shimura Conjecture, commonly known as the modularity conjecture, was employed in another theorem that bears this man's name.
Know more about Pierre de Fermat at:
https://brainly.in/question/110799
#SPJ4
Anyone know the answer?
0.08m^3 to kg
Answer:
hush Nikki
nnnnmm
nnnnn
a ladder is 8 feet 3 inches tall. How tall is it in inches?
Answer:
99 inches
Step-by-step explanation:
1 foot=12 inches
8x12=96
96+3=99
Pls helpppppppppppppppppppppp
Answer:
0.875
Step-by-step explanation:
7/8 in decimal form is 0.875.
PLEASE PLEASE PLEASE HELP
URGENT!! ILL GIVE BRAINLIEST!!!! AND 100 POINTS!!!
The solution is Option D.
The value of x from the triangle is x = 31
What are similar triangles?
If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be ABC
The measure of side AB = 14.5
The measure of side BC = 15.5
Let the second triangle be XYZ
The measure of side XY = 29
The measure of side YZ = x
Now , if the triangle ABC is similar to triangle XYZ , then the corresponding sides of the triangles will be equal in ratio
So , the equation will be
XY / AB = YZ / BC
Substituting the values in the equation , we get
29 / 14.5 = x / 15.5
On simplifying the equation , we get
x/15.5 = 2
Multiply by 15.5 on both sides of the equation , we get
x = 2 x 15.5
x = 31
Therefore , the value of x is 31
Hence , the value of x of side YZ is 31
To learn more about similar triangles click :
https://brainly.com/question/29378183
#SPJ1
How would you limit the domain to make this function one to one f(x)=3-x^2
Answer:
x ≥ 0
Step-by-step explanation:
You want to know an appropriate limit on the domain of f(x) = 3 -x² so the function is one-to-one.
One to OneA function is one-to-one if it passes the "horizontal line test." That is, a horizontal line can intersect its graph in at most one place.
The function f(x) = 3-x² has a turning point at x=0 and is symmetrical about that line. In order to make the function be one-to-one, the domain must be restricted to one of ...
x ≥ 0, orx ≤ 0or any subset of either of those domains.
Evaulate the expression for (22+5) / (12 - 9) x 6
Step-by-step explanation:
remember the priorities of doing the calculation operations :
1. brackets
2. exponents
3. multiplications and division
4. addition and subtraction
so,
(22 + 5) / (12 - 9) × 6
(27) / (3) × 6
and to write it without any doubt :
(27 / 3) × 6
9 × 6 = 54
why is
(27 / 3) × 6
better than
(27) / (3) × 6 ?
because if you are really taking it literally, you could understand
27 / 3 × 6
as
27 / (3 × 6)
and then the result is different.
so, many greetings to your teacher ! if what your write here was really what your teacher gave you, he/she was sloppy. in real math documentation people would write that as
((22 + 5) / (12 - 9)) × 6
our leave extra space like
(22 + 5) / (12 - 9) × 6
The graph models the linear relationship between the number of monthly payments made on a loan and the remaining balance in dollars left to pay on the loan.
Which statement describes the x-intercept of the graph?
The x-intercept is 40 , which represents the initial balance in dollars of the loan.
The x-intercept is 30,000 , which represents the initial balance in dollars of the loan.
The x-intercept is 40 , which represents the number of monthly payments needed to repay the loan.
The x-intercept is 30,000 , which represents the number of monthly payments needed to repay the loan.
The x - intercept is 40 ,which represents the number of monthly payments needed to repay the loan .
Given :
The graph models the linear relationship between the number of monthly payments made on a loan and the remaining balance in dollars left to pay on the loan.
From the graph :
Two points are ( 6 , 25500 ) and ( 25 , 11250 )
x - intercept = 40
The x - intercept gives information about the variable represented on the x - axis of a graph which is the number of monthly repayments needed to cover the loan.
Learn more about the number here:
https://brainly.com/question/17429689
#SPJ4
Why is it said that the rural landscape has been replaced by the urban landscape?
It is said that the rural landscape has been replaced by the urban landscape because rural landscapes have been transformed into urban ones.
¿What are rural and urban landscapes?We have to:
Rural landscapes are those where rural elements predominate, for example, in the fields. Urban countries are those where urban elements predominate, for example, cities.At present, more and more rural spaces become urban, which is why it is indicated that the urban landscape is replacing the rural one.
¡Hope this helped!
Consider two urns, Urn A and Urn B, where each urn initially contains 1 black ball and 2 white balls. In each round, a ball is randomly selected from each urn, and the two balls are changed place. Let X denote the number of black balls in Urn A after the nth round of exchange. Clearly, {Xn;n > 0} is a Markov chain. (a) State the transition probability matrix of {Xn;n > 0}. (b) What is the probability that after 3 exchanges, there are exactly 2 black balls in Urn A? (c) What is the probability that by the time we have done 3 exchanges, there has never been 2 black balls in Urn A? (d) Determine the long-run proportions that there are 0, 1, and 2 black balls in Urn A. (e) What is the long-run proportion that both balls that are selected from the urns are black?
a. P = [tex]\left[\begin{array}{ccc}\frac{2}{3} &\frac{1}{3} &0 \\\\\frac{2}{9} &\frac{5}{9} &\frac{2}{9}\\ \\0&\frac{2}{3} &\frac{1}{3} \end{array}\right][/tex]
b. P[[tex]x_{3} = 2[/tex]] = 0.18
c. p = 0.8353
d [tex]\pi _{1} = \frac{1}{2} \\\\\pi _{2} = \frac{1}{6} \\\\\pi _{0} = \frac{2}{6}[/tex]
Given that:
{[tex]x_{n}[/tex] ; n > 0} is a Markov chain
[tex]x_{n}[/tex] denotes no of black balls in Urn A after [tex]n^{th}[/tex] round of exchange.
Clearly know that no of black balls in Urn A cannot exceed.
Hence, state space is {0, 1,2}
Transition probabilities can be
(a) [tex]P_{00}[/tex] = P [white ball is selected from A & white ball is selected from B]
= P [white ball from A] × P [white ball from B]
= [tex]\frac{2}{3}[/tex]
[tex]P_{01}[/tex] = P [white ball from A & black ball from B ]
= [tex]\frac{1}{3}[/tex]
[tex]P_{10}[/tex] = P [black ball from A & white ball from B]
= [tex]\frac{2}{9}[/tex]
[tex]P_{11}[/tex] = P [black ball from A & black ball from B]
or P [white from A & white from B]
[tex]= \frac{1}{3} * \frac{1}{3} + \frac{2}{3} *\frac{2}{3}\\ \\ = \frac{1}{9} + \frac{4}{9}\\ \\= \frac{5}{9}[/tex]
[tex]P_{12}[/tex] = P [white from A & white from B]
= [tex]\frac{2}{9}[/tex]
[tex]P_{21}[/tex] = P [black ball from A & white ball from B]
= [tex]\frac{2}{3}[/tex]
[tex]P_{22}[/tex] = P [white from A & white from B]
= [tex]\frac{1}{3}[/tex]
Transition probability matrix P = [tex]\left[\begin{array}{ccc}\frac{2}{3} &\frac{1}{3} &0 \\\\\frac{2}{9} &\frac{5}{9} &\frac{2}{9}\\ \\0&\frac{2}{3} &\frac{1}{3} \end{array}\right][/tex]
(b) The probability that after 3 exchanges, there are exactly 2 black balls in Urn A.
P[[tex]x_{3} = 2[/tex]]
given initial distribution
[tex]p [x_{0} = 0] = 0 , p [x_{0} = 1] = 1 , p [x_{0} = 2] = 0[/tex]
p[tex][x_{3} = 2] =[/tex] ∑ i = 0 to 2 P [tex][x_{3} = 2 , x_{0} =i ][/tex]
= ∑ i = 0 to 2 P [tex][x_{3} = 2 , x_{0} =i ][/tex] . P[tex][ x_{0} = i][/tex]
= ∑ i = 0 to 2 P [tex]i^{2^3}[/tex] P[tex][ x_{0} = i][/tex]
Transition probability matrix can be calculated by increasing power of P matrix to 3 i.e [tex]P^{3}[/tex]
P[[tex]x_{3} = 2[/tex]] = 0.18
(c) The probability that by the time we have done 3 exchanges, there has never been 2 black balls in Urn A.
[tex]P[x_{3} \neq 2 , x_{2} \neq 2, x_{1} \neq 2 | x_{0} = 1 ][/tex]
p = 0.8353
(d) Long run proportions of state 0,1,2.
[tex]\pi _{0} = \frac{2}{3} \pi _{0} + \frac{2}{3} \pi _{1}[/tex]
[tex]\pi _{1} = \frac{1}{3} \pi _{0} + \frac{5}{9} \pi _{1} + \frac{2}{3} \pi _{2}[/tex]
[tex]\pi _{2} = \frac{2}{9} \pi _{1} + \frac{1}{3} \pi _{2}[/tex]
[tex]\pi _{0} + \pi _{1} + \pi _{2} = 1[/tex]
[tex]\pi _{0} = \frac{2}{3} \pi _{1} \\[/tex]
[tex]\pi _{2} = \frac{1}{3} \pi _{1}[/tex]
[tex]\pi _{1} [\frac{1}{3} + \frac{2}{3} + 1 ] = 1[/tex]
[tex]\pi _{1} = \frac{1}{2} \\\\\pi _{2} = \frac{1}{6} \\\\\pi _{0} = \frac{2}{6}[/tex]
To learn more about Probability check the given link
https://brainly.com/question/14322300
#SPJ4
Which BEST describes the decimal form of a rational number?
Responses
A either terminates in 0's or repeats.
B eventually repeats a non-zero digit
C neither terminates nor repeats
D always terminates in 0s
I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST PLS HURRY
Answer:
C
Step-by-step explanation:
A rational number can be written as a ratio of two integers. In decimal form, a rational number will either terminate or repeat a pattern.
Which set of ordered pairs represents a function? {(-1, 3), (2, 6), (3, 9), (4, 12), (5, 20)} {(-7, 3), (-7, 6), (-7, 12), (-7, 18)} {(9, -3), (4, -2), (1, -1), (0, 0), (1, -3)}
From the given pairs of ordered pairs {(-1, 3), (2, 6), (3, 9), (4, 12), (5, 20)} it is a function.
What is a Function?The core concept of mathematics calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x.
As per the set of ordered pairs given in the question,
1.
{(-1, 3), (2, 6), (3, 9), (4, 12), (5, 20)}
It is a function because every input has a single output.
2.
{(-7, 3), (-7, 6), (-7, 12), (-7, 18)}
It is not a function because 7 corresponds to two different images like 3, 6, 12, and 18.
3.
{(9, -3), (4, -2), (1, -1), (0, 0), (1, -3)}
It is not a function because 1 corresponds to two different images, like -1 and 3.
To know more about Function:
https://brainly.com/question/29109048
#SPJ1
Hello, I need help with this problem.
Fill out the Venn Diagram and answer the questions.
Thank you.
Answer:
see the attachment for the Venn diagram
17949173182153248Step-by-step explanation:
Given the numbers of students in various combinations of three courses, you want the associated Venn diagram and some numbers associated with additional combinations of courses.
Venn diagramIt is often easiest to populate the numbers in a Venn diagram by starting with the center one: 286 are taking all three courses. (V. = 286)
Working outwards from there, the numbers taking two courses can be filled in: (II. = History & Dance - V. = 343; IV. = History & Math - V. = 319; VI. = Dance & Math - V. = 318.)
Finally, the number taking a single course can be found. (I. = History -II. -IV. -V.; III. = Dance -II. -V. -VI.; VII. = Math -IV. -V. -VI.)
Adding all the numbers found so far gives the total in History, Dance, or Math (question 4). The difference between the number surveyed and the number in courses is VIII, the number taking none of the courses (question 5).
History or Not DanceThe least arithmetic may be involved if you rewrite this expression to ...
H ∪ D' = (H'∩D)' = 2401 -(III +VI) = 2401 -(289 +318) = 1794
(History or Math) and Not DanceThis will be the sum of numbers I, IV, VII.
226 +319 +372 = 917
Dance and Math and Not HistoryThis is VI alone: 318
History, Dance, or MathThis is all but VIIII: 2401 -248 = 2153
None of the CoursesThis is VIII alone: 248
Could somebody answer:
2 1/4 + 8/3
PLSSS
Answer:
4 11/12
Step-by-step explanation:
2 1/4 + 8/3
9/4 + 8/3
23/12 + 32/12
59/12
4 11/12
martin is 6 years younger than his sister. the sum of their ages is no more than 22 years. enter an inequality that can be used to represent this situation in the box, where x represents martin's sister's age.
Answer:
x ≤ 14
Step-by-step explanation:
x = age of Sis
x - 6 = Martin's age
x + (x-6) ≤ 22
2x - 6 ≤ 22
2x ≤ 28
x ≤ 28/2
x ≤ 14
What is the value of q?
O 4√5
O 2√14
O 20√5
O 64√5
Found the answer thought I would help
Answer:
18
Step-by-step explanation:
For a hypothesis test comparing two independent population means, the combined degrees of freedom are 56. Which of the following statements about the two sample sizes cannot be true? Assume the population standard deviations are unknown but equal Multiple Choice O m = 29, n2 - 29 O m-27; 12 - 29 O m = 26; * 32 28O n2 = 30
Option B [tex]n_{1} = 27 ,n_{2} = 29[/tex] are the two sample sizes cannot be true.
HYPOTHESIS TEST
Hypothesis testing in statistics is the process of putting a population parameter assumption to the test. The analyst will select a method based on the type of data used and the goal of the research. Hypothesis testing is a method used to determine whether a hypothesis is tenable by using sample data.Given that:
The degree of freedom for the test of two independent population means is 56.
Degrees of freedom for two independent populations are well known.
[tex]n_{1} + n_{2} - 2[/tex]
[tex]n_{1} + n_{2} - 2[/tex] = 56
[tex]n_{1} + n_{2}[/tex] = 54
Total sample sizes = 54
Option B ( [tex]n_{1} = 27 ,n_{2} = 29[/tex] ) cannot be true.
To learn more about hypothesis testing check the given link
https://brainly.com/question/14587073
#SPJ4
The water tank at the institution is
full. A water truck begin to full the tank with
water at a rate of 8 litres per minute. After 15 minutes the tank was 5/2 full. Calculate
the number of litres of water that the tank can hold
Answer:
t = 48 litres when full
Step-by-step explanation:
The water tank at the institution is full. A water truck begin to full the tank with water at a rate of 8 litres per minute. After 15 minutes the tank was 5/2 full. Calculate the number of litres of water that the tank can hold.
8(15) = 5/2t
120 = 5/2t
240 = 5t
t = 48 litres when full
Find the distance AB:
A = (-2, 1) and B=(5,-4)
Simplify.
d =
= √(5--2)² + (-4-1)²
Answer:
now
Step-by-step explanation:
d= √(X2 _ X1) +(Y2 - Y1). = (5 -2 )+ (-4- 1)=
6. Writing When you add a
one-digit number to a
decade number, what do you
notice about the ones place
digit of the sum?
When you add one-digit number to a decade number, you will notice that the ones place digit sum is interchanged in their positions
How to add a one-digit number to a decade number?You should know the word decade means ten. so a decade number is a number with ten digits. The digits of the decade number are
1,2,3,4,5,6,7,8,9
So write the number as
12345679
A digit number is say 9
123456789+9
= 123456798
Therefore when a digit number is added to a decade number, the last digits interchange their positions
Learn more about decade numbers on https://brainly.com/question/13918032
#SPJ1
a convex mirror, like the passenger-side rearview mirror on a car, has a focal length of -2.8 m. an object is 5.6 m from the mirror.
The image's distance from the mirror is -1.87, by using the mirror equation.
Note:- Although the question is missing, I believe the issue is asking where the image is located.
To find the solution to the problem, the mirror equation can be used:
Mirror equation = [tex]\frac{1}{f}+\frac{1}{d_{o} }+\frac{1}{d_{i} }[/tex]
Where,
f = mirror's focal length
[tex]d_{o}[/tex] = object's distance from the mirror
[tex]d_{i}[/tex] = image's distance from the mirror
The focal length is assumed to be negative for a convex mirror in our problem.
f = -2.8 m
The object's distance (do) = 5.6m
By using the mirror equation, the image's distance from the mirror can be determined
[tex]\frac{1}{f}+\frac{1}{d_{o} }+\frac{1}{d_{i} }[/tex]
i.e, [tex]\frac{1}{d_{i} } = \frac{1}{f} -\frac{1}{d_{o} }[/tex]
= [tex]-\frac{1}{2.8} -\frac{1}{5.6}[/tex] = [tex]-\frac{3}{5.6}[/tex]
= - 0.5357
[tex]d_{i} =[/tex] [tex]-\frac{5.6}{3}[/tex]
= -1.87 m
The virtual nature of the image is indicated by the negative sign (located behind the mirror)
To know more about Convex mirror visit here:
https://brainly.com/question/27518252
#SPJ4
which of the following is a function that is passed as an argument to another function? question 40 options: anonymous value callback restricted
callback restricted is a function that is passed as an argument to another function
It tests whether the condition returned by the callback function holds for at least one item in array.
What is an array?
It should be noted that an array means a data structure that can store a fixed size collection of elements.
In this case, the true statement of the array is that it tests whether the condition returned by the callback function holds for at least one item in array.
Learn more about array on:
brainly.com/question/26104158
#SPJ4
Given f(x) =2x2 + 1 and g g(x) = 3x-5 , find the following. f(g)(2))
The value of f(g(2)) from the given functions f(x) and g(x) is 3.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given functions are f(x)=2x²+1 and g(x)=3x-5.
We need to find f(g(2)).
Put x=2 in the function g(x)=3x-5, we get
g(2)=3×2-5
= 6-5
= 1
So, g(2)=1
Put x=1 in the function f(x)=2x²+1, we get
f(g(2))=2(1)²+1
= 2+1
=3
Therefore, the value of f(g(2)) is 3.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ1
Mrs.Lopez asked a Capenter to struck a rectangular bulletin board for her classroom . she told the carpenter that the board must be 12 square feet.
1.what are the possible length and width of bulletin board?Give at least 2 pairs
2. how did you determine the possible length and width of the bulletim board?
3.suppose the length of the board is 1 ft.longer that its width and let x be the width. how will you represent the length of bulletin board?
4. given the area of the illustration board which is 12 square feet,what equation represent the given Situation? hint. Area=(length) (width)
5. how would you describe the equation formulated?
6. do you think you can use the equation formulated to find the length and width of the bulletin board
Let us answer the individual questions as per the given conditions:
1. Since the area of the bulletin board is meant to be exactly 12 square feet, the 2 pairs for length and width would be 4feet and 3feet(first pair), 6 feet and 2 feet(second pair) respectively.
2. The possible length and width of the board were determined using trial and error method to find two numbers whose product equal to 12.
3. If width of the board were to be x , and the length be 1 greater than width, we can represent the length as x+1.
4. Given the area of illustration board as 12 sq ft. the equation that represents the given situation is :
5. The equation can be described as quadratic equation.
6. Yes, I think we can use the equation formulated to find the length and width of the bulletin board.
What is rectangle?
A quadrilateral with equal angles and parallel opposing sides is referred to as a rectangle. Around us, there are a lot of rectangle items. Two dimensions, the length and breadth, define any rectangle form.
What is the formula for calculating area of rectangle?
The formula for calculating the area of rectangle is given by:
A = L * B
where A - area of rectangle
L - Length of the rectangle
B - Width of the rectangle
According to the given question:
1. Using the formula for area of rectangle(length * width) , the two pairs of length and breadth can be found by finding two real positive numbers whose product equals to 12. Hence , we get 4 feet and 3 feet as first pair and 6 feet and 2 feet as second pair for length and width respectively.
2. The possible length and width pairs were determined by using the equation of area, A = L*B which is equal to 12 sq ft.
3. Since the width is given to be x by the question and x is mentioned to be 1 greater than width, hence length will be equal to x+1.
4. Using the equation for area of rectangle:
A = L * B
substituting the values as per the given conditions,
12 = x(x+1)
or, x2 + x = 12
or, x2+x-12 =0
Which is the required equation.
5. Since the highest power in the equation is 2. Hence the equation is described as quadratic equation.
6. Yes , we can use the equation formulated to find the length and width of the bulletin word, Simply solving the quadratic equation given above.
To learn more about rectangles visit:
brainly.com/question/29123947
#SPJ4
Your
gross pay is $2,759.00. Your involuntary deductions are FICA (7.65%), federal
withholding (12%), and state withholding (7%). How much are you allowed for housing and
fixed expenses
The amount allowed for housing and expenses is $2023.73.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Gross pay = $2759
Deduction:
7.65%
= 7.65/100 x 2759
= $211.06
12%
= 12/100 x 2759
= $331.08
7%
= 7/100 x 2759
= $193.13
The remaining amount.
= 2759 - 211.06 - 331.08 - 193.13
= $2023.73
Thus,
The amount allowed is $2023.73.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ2
f(x) = 5 + x + x2 − x3
Answer:
[tex]\left(-\frac{1}{3},\:\frac{130}{27}\right) \:\mathrm{Maximum}\left(1,\:6\right)\\\\\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \: < x < \infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}\\\\\\Not sure if I did it right[/tex]