what is the smallest number you can make using 4 5 3 6
Answers
Answer:
3456
Step-by-step explanation:
Related Questions
sherry had $7/8$ of a cup of sugar in her kitchen, and then she used $1/2$ of a cup of sugar to make sweet tea. she used what fraction of her sugar to make sweet tea?
Answers
Sherry used 3/8 of her sugar to make sweet tea, which is the fraction obtained by subtracting 1/2 from 7/8.
The fraction of sugar that Sherry used to make sweet tea, we need to subtract the amount of sugar she used from the total amount of sugar she had.
Sherry had $7/8$ of a cup of sugar in her kitchen, and she used $1/2$ of a cup of sugar to make sweet tea.
To find the remaining amount of sugar, we subtract $1/2$ from $7/8$:
$7/8 - 1/2$
To subtract fractions, we need a common denominator. In this case, the common denominator is 8. We can rewrite $1/2$ as $4/8$:
$7/8 - 4/8$
Now we can subtract the numerators:
$3/8$
Therefore, Sherry used $3/8$ of her sugar to make sweet tea.
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1) g(n)= 3n - 4; Find g(-3)
Answers
We will determine how to evaluate a function with respect to an input value.
A function is defined as a mathematical relationship between the input and output. Where the function gives the output but depends on the input value. The relationship of a function is defined in terms of the input variable as follows:
\(g\text{ ( n ) = 3n - 4}\)The above function g ( n ) depends on the input variable ( n ). The relationship is mathematically expressed in terms of the input variable ( n ).
We are to evaluate the above function g ( n ) for the input value of n = -3. We will simply substitute the value of ( n )-input variable in the expressed relationship as follows:
\(\begin{gathered} g\text{ ( -3 ) = 3}\cdot(-3)\text{ - 4} \\ g\text{ ( -3 ) = -9 -4} \\ \textcolor{#FF7968}{g}\text{\textcolor{#FF7968}{ ( -3 ) = -13}} \end{gathered}\)The output value corresponding to the input of the function g ( -3 ) is :
\(\textcolor{#FF7968}{-13}\)Please Help im have trouble with this question
Answers
I hope this helps good luck
Use the References to access important values if needed for this question. A sample of neon gas has a volume of 8.19 L at 56
∘
C and 0.565 atm. What would be the volume of this gas sample at STP? (STP (standard temperature and pressure) is used as a reference point for the molar volume of an ideal gas. In the USA, most chemists, most general chemistry texts, and oWL use SPP=0
+
C,1 bar, where the molar volume =22.7 L/mol.) Volume = 3ftem attempts remaining
Answers
A sample of neon gas has a volume of 8.19 L at 56 degrees, the volume of the neon gas sample at STP is 22.4 L.
The given temperature and pressure are: T1 = 56 °C and P1 = 0.565 atm.
The standard temperature and pressure are: T2 = 273 K and P2 = 1 atm.
The volume of the neon gas sample at STP can be calculated using the ideal gas law which states that:PV = nRT
Where,P = Pressure
V = Volumen = Number of moles of the gas
R = Ideal gas constant
T = Temperature
The ideal gas law can be rearranged to solve for the volume of the gas sample.
V = (nRT) / PAt STP, n = 1 mole of the gas and R = 0.08206 L atm K-1 mol-1
We can calculate the volume of the neon gas sample at STP as follows:
V2 = (nRT2) / P2V2 = [(1 mol) (0.08206 L atm K-1 mol-1) (273 K)] / (1 atm)
V2 = 22.4 L
Therefore, the volume of the neon gas sample at STP is 22.4 L.
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11 black balls and 14 white balls are placed in an urn. two balls are then drawn in succession. what is the probability that the second ball drawn is a white ball if the second ball is drawn without replacing the first ball? a) 0.2333 b) 0.5376 c) 0.5600 d) 0.2567 e) 0.3033 f) none of the above.
Answers
The probability for the given condition is, 0.56.
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Given:
11 black balls and 14 white balls are placed in an urn. two balls are then drawn in succession.
We have to find the probability that the second ball drawn is a white ball if the second ball is drawn without replacing the first ball.
P(white ball) = 14 / (11 + 14) = 14 / 25
P(2nd ball is white) = P(first ball is white)*P(2nd ball is white) + P(first ball is black)*P(2nd ball is white)
= (14 / 25) * (13 / 24) + (11 / 25) * (14 / 24)
=0.56
Hence, the probability for the given condition is, 0.56.
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Erin’s car uses 6 gallons of gas for every 138 miles she drives.which equation could be used to find how many gallons,g, Erin needs to drive 92 miles. Answer choice A : 23=92g B:23=183g C:92=23g D:138=23g
Answers
The equation that could be used to find how many gallons Erin would need to drive 92 miles is 92 = 23g (option c)
How many gallons is needed to drive 92 miles?
The first step is to determine the gallons needed to drive 1 mile. To do this, divide the 6 gallons by 138 miles. Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.
Gallons needed for 1 mile = 6/138
In order to determine the gallons needed for 92 miles, multiply the ratio gotten in the previous step by 92
(6/138) x 92 = 4 gallons
The option that gives 4 gallons is : 92 = 23g
g = 92 / 32 = 4
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Which two consecutive whole
numbers is V90 between?
8 and 9
b
7 and 8
10 and 11
d
9 and 10
Answers
Given:
The value is \(\sqrt{90}\).
To find:
The two consecutive whole numbers such that \(\sqrt{90}\) lies between those numbers.
Solution:
The perfect square numbers between 1 to 100 are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.
We know that, 90 lies between 81 and 100.
\(81<90<100\)
\(9^2<90<10^2\)
The value of x radical cannot be negative. So taking square root on each side, we get
\(\sqrt{9^2}<\sqrt{90}<\sqrt{10^2}\)
\(9<\sqrt{90}<10}\)
The given number lies between 9 and 10. Therefore, the correct option is (d)
Select the correct answer. What is the slope of the line that goes through the points (-4,1) and (4,-5)?.
Answers
The slope of the line that goes through the points (-4,1) and (4,-5) is -1/2 . A line's slope indicates the steepness and direction of the line.
what is slope ?A line's slope indicates the steepness and direction of the line. By calculating the difference between the coordinates of the two points, (x1,y1) and (x2,y2),The letter "m" is frequently used to signify slope. Positive slope occurs when a line slopes upward from left to right, whereas negative slope occurs when a line slopes downward from left to right, and zero slope occurs when a line slopes horizontally (when lines are horizontal)
calculation
Use the slope formula.
m= (y2-y1)/(x2-x1)
Plug in the points. (-4,5) and (4,1)
m= (1-5)/(4-(-4)
m= -4/4+4
m=-4/8
m=-1/2
the slope of the line that goes through the points (-4,1) and (4,-5) is - 1/2.
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Can someone plss help me with this question!
QUESTION: Solve and graph for x and y.
Answers
Answer:
\(y = 1-\frac{x}{2}\)
\(y = 1-\frac{x}{2}\)
Step-by-step explanation:
x+2y = 2
2y = 2-x
\(y=\frac{2-x}{2}\)
\(y = 1-\frac{x}{2}\)
2x+4y = 4
4y = 4-2x
\(y=\frac{4-2x}{4} \\y =1-\frac{x}{2}\)
They are the same. When you will graph it they will be on top of another. It will be one single line.
To graph this equation follow the slope-intercept form: y=mx+b
b is y-intercept and m is slope.
From this equation y-intercept is 1 and slope is -1/2. Y=intercept is the value of y when x is 0. So one point will be (0,1) on the graph.
Slope = rise/run. Rise means going up and down. Run means going left and right. When the number is negative you go down and left. If it's positive you go up and right.
To put the slope go down 1 and right 2 to input another point from the point (0,1). So the new point will be (2,0). Now draw a line between (0,1) and (2,0) and you have your graph.
"Blast it!" said David Wilson, president of Teledex Company. "We've just lost the bid oh the Koopers job by $3,000, It seems we're either too high to get the job or too low to make any money on half the jobs we bid." Teledex Company manufactures products to customers' specifications and uses a jot-order costing system. The company uses a plantwide predetermined overhead rate based on direct labor cost to apply its manufacturing overhead (assumed to be all fixed) to jobs. The following estimates were made at the beginning of the year: Jobs require varying amounts of work in the three departments. The Koopers job, for example, would have required manufacturing costs in the three departments as follows: Using the company's plantwide approach, compute the plant wide predetermined rate for the current year. Using the company's plantwide approach, determine the amount of manufacturing overiead cost that would have been applied to the Koopers job. Suppose that instead of using a plantwide predetermined overhead rate, the company hed used departmental predetermined overhead rates based on direct labor cost. Compute the predetermined overhead rate for each department for the current year. Suppose that instead of using a plantwide predetermined overhead rate, the company hpd used departmental predetermined overhead rates based on direct labor cost. Determine the amount of manufacturing overfiead cost that would have been applied to the Koopers job. Assume that it is customary in the industry to bid jobs at 150% of total manufacturing cost (direct materials, direct labor, and applied overhead). What was the company's bid price on the Koopers job using a piantw de predetermined overheod rate? Assume that it is customary in the industry to bid jobs at 150% of total manufacturing cost (direct materials, direct labor, and applied overhead). What would the bid price have been if departmental predetermined overhead rates had been used to appiy overhead cost?
Answers
1. The amount of manufacturing overhead cost that would have been applied to the Koopers job is $9,840.
2. Using departmental predetermined overhead rates, the total manufacturing cost of the Koopers job is $47,040.
3. The bid price would have been $70,560.
The plantwide predetermined overhead rate for the current year is $2.40 per direct labour dollar ($4,032,000 ÷ $1,680,000).
The amount of manufacturing overhead cost that would have been applied to the Koopers job is $10,200 ($30,000 × 0.34).
The predetermined overhead rate for each department is:
Department A = $0.60 per direct labour dollar ($672,000 ÷ 1,120,000)
Department B = $0.96 per direct labour dollar ($1,344,000 ÷ $1,400,000)
Department C = $0.72 per direct labour dollar ($1,008,000 ÷ $1,400,000)
The amount of manufacturing overhead cost that would have been applied to the Koopers job is $9,840 ($48,000 × 0.205 + $84,000 × 0.172 + $54,000 × 0.144).
Using a plantwide predetermined overhead rate, the total manufacturing cost of the Koopers job is $48,500 ($18,000 + $20,000 + $10,200).
Thus, the bid price is $72,750 (150% × $48,500). Using departmental predetermined overhead rates, the total manufacturing cost of the Koopers job is $47,040 ($18,000 × 0.205 + $20,000 × 0.172 + $10,000 × 0.144 + $18,000 + $20,000 + $10,000).
Thus, the bid price would have been $70,560 (150% × $47,040).
Hence, the solution to the problem is as follows: The company's plantwide predetermined overhead rate for the current year is $2.40 per direct labour dollar. The amount of manufacturing overhead cost that would have been applied to the Koopers job is $10,200.
Suppose that instead of using a plantwide predetermined overhead rate, the company had used departmental predetermined overhead rates based on direct labour cost. The predetermined overhead rate for each department for the current year is:
Department A = $0.60 per direct labour dollar
Department B = $0.96 per direct labour dollar
Department C = $0.72 per direct labour dollar
The amount of manufacturing overhead cost that would have been applied to the Koopers job is $9,840.Using a plantwide predetermined overhead rate, the total manufacturing cost of the Koopers job is $48,500.
Thus, the bid price is $72,750.Using departmental predetermined overhead rates, the total manufacturing cost of the Koopers job is $47,040. Thus, the bid price would have been $70,560.
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(HELP! I HAVE NO TIME) At 2pm, a store had sold 15 packs of toilet paper. By 5pm, the store had sold 57 packs of toilet paper. What is the average rate of change?
Answers
\(\mathrm {Hey, there!}\)
Let's solve your problem:
The answer would be 280%.
We know the following information:
2pm - 15 toilet paper rolls
5pm - 57 toilet paper rolls
We have to find the percent rate of change.
Here is how we will do this problem:
First, Set up a ratio:
Change in the quantity [15 - 57]
-------------------------------------
Original quantity [15]
57 - 15 = 42
Next, we will divide. the ratio.
Given quantity - 42
Number of packs sold at 2pm - 15
Fraction - 42/15
Convert the fraction to a decimal.
Fraction - 42/15
Decimal - 2.8
Make the decimal to a percent.
Decimal - 2.8
Percent - 28%
Add a zero to the 28.
Our answer is 280%
Answer:
14 packs per hourStep-by-step explanation:
2pm ⇒ sold 15 packs 5pm ⇒ sold 57 packsAverage rate of change = change in sale/ change in time
(57 - 15) / (5 - 2) = 42/3 = 14 packs per hourFind 7.5×1041.25×10−9. Write your answer in scientific notation.
Answers
Answer:
7.5×1041.25×10−9 = 78,084.75 = 7.808475 x^10
Step-by-step explanation:
The chess club plans to sell water bottles to raise $425. They have
$175 already. If they sell water bottles for $8 each, at least how many
bottles do they need to sell in order to raise enough money?
8n + 175 ≥ $425
Answers
8n ≥250
n ≥250/8
n ≥31.25
They would need to sell at least 32 bottles to raise more or equal to $425.
32•8=256
256+175=$431
431 ≥425
What will be the multiplicative inverse of p/q
Answers
The multiplicative inverse of p/q is q/p
Calculating the multiplicative inverse of p/qfrom the question, we have the following parameters that can be used in our computation:
Expression = p/q
The multiplicative inverse of an expression a is represented as
1/a
using the above as a guide, we have the following:
The multiplicative inverse of p/q is q/p
Hence, the multiplicative inverse of p/q is q/p
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My entire life I have noted the sun rises every morning and sets every evening. I am concluding that the sun will rise tomorrow morning and set tomorrow evening. Make an argument as to why this can be inductive or deductive reasoning and include details that indicate your knowledge of the topic.
Answers
The argument that the sun will rise tomorrow morning and set tomorrow evening is based on inductive reasoning, using past observations of consistent sunrise and sunset patterns to predict future occurrences.
1. The observation: Throughout your entire life, you have consistently noticed that the sun rises every morning and sets every evening. This is an observation based on personal experience.
2. Inductive reasoning: Based on this observation, you make an inference or prediction about the future. You reason that since the sun has always risen in the morning and set in the evening in the past, it is likely to continue doing so in the future.
3. Pattern and consistency: The assumption is that natural phenomena, such as the rising and setting of the sun, follow a pattern or regularity. This assumption is based on the principle of uniformity of nature, which suggests that the future will resemble the past in terms of natural occurrences.
4. The limitations of inductive reasoning: While inductive reasoning provides a useful way to make predictions based on past observations, it is not foolproof. There is always a small possibility that something unexpected could happen, such as a rare astronomical event or an external factor that alters the pattern. However, based on the available evidence and the consistency of the observed pattern, the prediction that the sun will rise tomorrow morning and set tomorrow evening is highly probable.
In summary, the argument relies on inductive reasoning, using the past consistent observation of the sun's rising and setting to predict that it will continue to do so in the future. While this reasoning is not infallible, it is a reasonable and practical way to make predictions based on observed patterns in nature.
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A river is rising at a rate of 3 inches per hour. If the river rises more than 24 inches, it will exceed flood stage. How long can the river rise at this rate without exceeding flood stage? Use the Math Quill tool to type the inequality that would be used to solve this problem. DO NOT SOLVE. I dont need the answer i just need the starting equation
Answers
Answer:
7 r 3
Step-by-step explanation:
Answer:
3r 'lesser than or equal to sign' 24
Step-by-step explanation:
two ladders, one that is 6 6 feet long and one that is 9 9 feet long, are leaning up against a building. both ladders are leaning so that the angle they make with the ground is the same. the shorter ladder touches the wall at a point that is 5 5 feet 9 9 inches above the ground. how much higher above the ground does the second ladder touch the wall above the shorter ladder?
Answers
The second ladder touches the wall approximately 11 feet higher than the shorter ladder, or equivalently, around 8 feet 8 inches higher.
Let's denote the height at which the second ladder touches the wall as h. We can set up a proportion based on the similar right triangles formed by the ladders and the building:
(6 6 feet) / (h) = (9 9 feet) / (5 5 feet 9 9 inches + h)
To solve for h, we can cross-multiply and solve the resulting equation:
(6 6 feet) * (5 5 feet 9 9 inches + h) = (9 9 feet) * (h)
Converting the measurements to inches:
(66 inches) * (66 inches + h) = (99 inches) * (h)
Expanding and rearranging the equation:
4356 + 66h = 99h
33h = 4356
Solving for h:
h = 4356 / 33 = 132 inches
Converting back to feet and inches:
h ≈ 11 feet
Therefore, the second ladder touches the wall approximately 11 feet higher than the shorter ladder, or equivalently, around 8 feet 8 inches higher.
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if 4 -letterwords'' are formed using the letters a, b, c, d, e, f, g, how many such words are possible for each of the following conditions:(a) no condition is imposed.
Answers
The number of 4-letter words that can be formed without any condition imposed is 8,064.
To determine the number of 4-letter words that can be formed without any conditions, we can use the concept of permutations. Since we have 8 options (a, b, c, d, e, f, g) for each letter position, we can multiply the number of options for each position to find the total number of possibilities.
For the first letter position, we have 8 options to choose from. Similarly, for the second, third, and fourth positions, we also have 8 options each. Therefore, the total number of possibilities is:
8 options for the first position × 8 options for the second position × 8 options for the third position × 8 options for the fourth position = 8 × 8 × 8 × 8 = 8,064.
Hence, there are 8,064 possible 4-letter words that can be formed without any conditions imposed.
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hello can you help me with this plane trigonometry question please and thank you for your time for doing this
Answers
hello
\(\theta=\frac{7\pi}{6}\)\(\sin \theta=\frac{\sin 7\pi}{6}\)we need to first convert the values into degrees first
\(\begin{gathered} 2\pi=360 \\ \frac{7\pi}{6}=x \\ 2\pi x=\frac{7\pi}{6}\times360 \\ 2x\times6=7\times360 \\ 12x=2520 \\ x=\frac{2520}{12} \\ x=210 \\ \theta=210^0 \end{gathered}\)now we can convert the values in degrees to surds form
\(\begin{gathered} \sin 210=-\frac{1}{2} \\ \frac{\sin 7\pi}{6}=-\frac{1}{2} \end{gathered}\)now let's solve for cosine
\(\begin{gathered} \cos 210=-\frac{\sqrt[]{3}}{2} \\ \frac{\cos 7\pi}{6}=-\frac{\sqrt[]{3}}{2} \end{gathered}\)Does the parabola open up or down? Is the y-coordinate of the vertex a minimum value or a maximum value?
f(x) = 5x^2-x
Answers
it opens up and the y coordinate of the vertex is a minimum value!
Express the proposition, the converse of p→q, in an English sentence, and determine whether it is true or false, where p and q are the following propositions.
p:"77 is prime" q:"77 is odd"
Answers
The converse of p→q, "If 77 is odd, then 77 is prime," is a false statement.
The proposition p→q, in English, is "If 77 is prime, then 77 is odd." The converse of p→q is q→p, which can be expressed as "If 77 is odd, then 77 is prime."
To determine whether this converse is true or false, let's first examine the truth values of the propositions p and q:
p: "77 is prime" - This statement is false, as 77 is not prime (it has factors 1, 7, 11, and 77).
q: "77 is odd" - This statement is true, as 77 is not divisible by 2.
Now, let's evaluate the truth value of the converse q→p:
q→p: "If 77 is odd, then 77 is prime" - Since the premise (q) is true and the conclusion (p) is false, the overall statement q→p is false. A conditional statement is only true when the premise being true leads to the conclusion being true. In this case, the fact that 77 is odd does not imply that it is prime.
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Mario paid $44.25 in taxi fare from the hotel to
the airport. The cab charged $2.25 for the first
mile plus $3.50 for each additional mile. How
many miles was it from the hotel to the airport?
A. 10
B. 11
C. 12
D. 13
Answers
Answer:
C. 12
hope they help
first mile $2.25 plus $3.50 ×12= $42.00+2.25=44.25
Ikram invests £7000 in a savings account paying compound interest for 2 years.
In the first year, the rate of interest is x%.
At the end of the first year the value of Ikram's investment is £7273
In the second year, the rate of interest is x/3%
What is the value of Ikram's investment at the end of the 2 years?
Answers
Answer:
The answer is £7367.55
Step-by-step explanation:
Find the interest.
£7273 - £7000 = £273
Then, find the multiplier for the 1st year.
273/7000 = 0.039
Then, find the multiplier for the next year.
It says it is x/3, with x being the 1st year multiplier, so do 0.039/3 = 0.013
Afterwards, multiply the total money from the 1st year with the 2nd years multiplier.
£7273 x 1.013 = £7367.55
Hope this helps :)
In a triangle, the measure of the second angle is half the measure of the first. The third angle is
5 degrees more than twice the measure of the first. Find the measures of the three angles.
Answers
Answer:
50; 25; 105
Step-by-step explanation:
Sum of the angles of triange is 180, so we have 2x + x + 2*2x + 5 = 180 (x is number of degrees of second angle), if I understood word 'twice' correctly.
Next, let me solve this:
2x + x + 4x + 5 = 180
7x + 5 = 180
7x = 175
x = 25
So, second angle is 25 degrees, first is 25*2=50 degrees and third is 50*2+5=105 degrees.
Hope that this was helpful.
Erwin Middle School has 350 boys. 66 2/3% of the students are girls. How many students go to this school?
Answers
By working with the given percentage, we will find that there are 1,050 students in the school.
How many students go to the school?
First, we know that (66 + 2/3)% = (66.66...%) of the students are girls.
Then the remaining 33.33% are boys.
And we know that there are 350 boys, so the 33.33...% of the students is equal to 350.
So we can write the equations for percentages:
350 = 33.33%
X = 100%
Where X is the total number of students, to find X, we can take the quotient between these two equations:
X/350 = 100%/33.33%
X = 350/0.333... = 1,050
So there are 1,050 students on that school.
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what are the answers to questions 14. and 15 ?
Answers
Answer:
A. and H.
Step-by-step explanation:
Please answer ASAP please I have 6 minutes .
Answers
Answer:
The answer is B
Step-by-step explanation:
Which of the following is a process by which the level of attainment by an exemplary program is used as a point of comparison to the current level of achievement? a) Benchmarking b) Standardizing c) Prototyping d) Modeling
Answers
The correct option is (a) The process by which the level of attainment by an exemplary program is used as a point of comparison to the current level of achievement is called benchmarking.
Benchmarking involves identifying the best practices and achievements of other organizations or programs and comparing them to your own performance. This process helps organizations to improve their performance by learning from others who have achieved exemplary results. By comparing your organization's performance to that of others, you can identify areas where you need to improve and develop strategies to achieve better results.
Benchmarking is a powerful tool for organizations seeking to improve their performance. It involves a systematic process of identifying, analyzing, and comparing the practices, processes, and performance of other organizations or programs that have achieved exceptional results in a particular area. Benchmarking can be applied to any aspect of an organization's performance, including product quality, customer service, operational efficiency, and financial performance. Benchmarking typically involves four key steps: planning, analysis, integration, and action. In the planning phase, organizations identify the areas where they want to improve and select the benchmarks they will use for comparison. The analysis phase involves collecting and analyzing data on the performance of the benchmark organizations and comparing it to the organization's own performance. In the integration phase, organizations integrate the best practices they have learned from the benchmarking process into their own processes and systems.
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How do you find the inverse of a modulo?
Answers
You need to find a number that, when multiplied by a given number modulo a certain value, produces a remainder of 1. This can be done using the extended Euclidean algorithm, and the resulting inverse is the residue of the coefficient modulo the modulus.
Finding the inverse of a modulo involves finding a number that, when multiplied by a given number modulo a certain value, produces a remainder of 1. This process is important in modular arithmetic, where calculations are performed with remainders of a fixed integer modulus.
To find the inverse of a modulo, you can use the extended Euclidean algorithm, which is a method for finding the greatest common divisor of two integers.
The steps for finding the inverse of a modulo are as follows:
1. Identify the number you want to find the inverse of (let's call it "a") and the modulus (let's call it "m").
2. Use the extended Euclidean algorithm to find the greatest common divisor of "a" and "m", and the coefficients x and y such that ax + my = gcd(a,m).
3. If gcd(a,m) = 1, then "a" has an inverse modulo "m" and the inverse is given by x mod m.
4. If gcd(a,m) is not equal to 1, then "a" does not have an inverse modulo "m".
In step 3, x mod m represents the residue of x modulo m, which is the unique non-negative integer less than m that is congruent to x modulo m. In other words, it is the remainder when x is divided by m.
For example, to find the inverse of 5 modulo 7, we can use the extended Euclidean algorithm to find that 2(5) + (-1)(7) = 1. Therefore, the inverse of 5 modulo 7 is 2.
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for any integers xx, yy and zz, if x∤zx∤z, then x∤yx∤y or x∤(y z)x∤(y z). what would be assumed to be true?
Answers
The assumed truth for this statement is that x, y, and z are integers and x does not divide z.
We have to given that,
For any integers x, y and z,
And, if x ∤ zx ∤ z,
Then, x ∤ yx ∤ y or x ∤ (y z)x ∤(y z).
Hence, Assuming x, y, and z are integers and x does not divide z, the statement is: if x does not divide z, then x does not divide y or x does not divide yz.
Thus, The assumed truth for this statement is that x, y, and z are integers and x does not divide z.
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