The greatest possible quotient of any two distinct members of the set; { 2 / 5, 1 / 2, 5, 10 } as required is; 25.
What is the maximum possible quotient of any pair of numbers from the set?It follows from the task content that the set from which the two numbers whose quotient is to be maximised is; { 2 / 5, 1 / 2, 5, 10 }.
On this note, since the quotient which is to be maximised is hypothetically; x / y;
Hence, in a bid to maximize the result of the quotient; it follows that the numerator, x must be as great as possible and the denominator, y must be as less as possible.
On this note, since the maximum number in the set is 10 and the minimum is 2 / 5; we have that;
10 / (2 / 5)
= ( 10 × 5 ) / 2
= 25.
Consequently, it follows that the greatest possible quotient as required is; 25.
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Which expression simplifies to
m-2
—— ?
m-1
A website lists homes for sale in a suburban town. The site provides information including neighborhood, selling price, number of bedrooms, and whether the home has a garage. What are the individuals in this setting?
homes
neighborhoods
selling prices
bedrooms
answer is homes
Based on the description above, the individuals in this setting is option A: homes.
Whys the setting home?The website lists homes for sale in a suburban town and provides information such as neighborhood, selling price, number of bedrooms, and whether the home has a garage.
In this case each house is an instance or a data point of a "home" object, these objects have different attributes or features like neighborhood, selling price, number of bedrooms and garage, these attributes are used to describe the characteristics of the home, they are also called features.
Therefore, each home is an individual unit being sold on the market. Neighborhoods, selling prices, and bedrooms are attributes or characteristics of the homes, and they help provide more information about each individual home being listed.
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If total employee benefits are calculated as a percentage of their gross pay, which of the following employees receives the largest percentage of their gross pay in employee benefits?
Answer: the answer is the option
Employee B: gross pay $32,900, total job benefits $34,000
hope this helped you
The owner of a mall retaurant bought 75 kilogram of rice. Each week, the retaurant ue 4. 5 kilogram of rice. Function r give the remaining amount of rice, in kilogram, a a function of the number of week ince the retaurant owner bought the rice. 1. Complete the table. Clear All
function f(x) = 75 - 4.5 w.
where w = number of weeks.
this question is related to function and solution is as follows,
The owner of a mall Restaurant bought rice = 75 kg
Each week, the restaurant use rice = 4. 5 kg
so we have to make an equation of function by which we can find out the remaining rice after w number of weeks,
f(x) = 75 - 4.5 w
where ,w = number of weeks
example, find out rice after 6 weeks
number of weeks (w) = 6
put it in the function,
f(x) = 75 - 4.5(6)
f(x) = 75 - 27
f(x) = 48.
so the function is ,f(x) = 75 - 4.5 w.
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The table shows a linear function. What is the rate of change?
Hours
Pay
1
18
1.5
23
2
28
2.5
33
3
38
Answer:
rate of change = 5
Step-by-step explanation:
the slope m gives the measure of the rate of change of the function
calculate the slope m using the slope formula
m = [tex]\frac{y_{2-y_{1} } }{x_{2-x_{1} } }[/tex]
with (x₁, y₁ ) = (3, 38) and (x₂, y₂ ) = (1, 18) ← 2 ordered pairs from the table
m = [tex]\frac{18-38}{1-3}[/tex] = [tex]\frac{-20}{-2}[/tex] = 5
then rate of change = 5
Is 3 3 an additive inverse?
3 and -3 are additive inverses because 3 + (-3) = 0.
Therefore, -3 is the additive inverse of 3.
Additive Inverse:
The additive reciprocal/ Inverse of a number is its inverse. When a number is added to the additive reciprocal, both numbers sum to zero. A simple rule is to change positive numbers to negative numbers and vice versa. We know that 3+ (-3) =0. So -3 is the additive reciprocal of 3, and 3 is the additive reciprocal of -3.
If the sum of two real numbers is 0, each real number is said to be the additive reciprocal of the other real number. Therefore, R + (-R) = 0. where R is a real number. R and -R are the additive reciprocals of each other. Example: 3/4 + (-3/4) = 0. where 3/4 is the additive reciprocal of -3/4 and vice versa. This is an example of the additive reciprocal of a fraction.
We have room temperature water in a bucket. Adding 1 liter of hot water raises the temperature of the entire bucket by a certain amount. Then add another liter of cold water. Opposite temperature water in the bucket will cancel out, resulting in a bucket of room temperature water. The same rules apply when taking the additive reciprocal of a number. The additive inverse property applies to both real and complex numbers.
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How do you add a function in FG?
To add a function in FG, open the functions. php file in your theme folder, add the code for the function at the bottom of the file, save the file, and add the code for the function in the template files where you want it to appear.
To add a function in FG, you first need to open the functions. php file in your theme folder. This is where all the functions for your theme will be stored. Once you have the file open, you can add the code for the function that you want to create. This code should go at the bottom of the file. After you have added the code, save the file. Now, you need to add the code for the function in the template files where you want it to appear. To do this, add the following code: <?php your_function_name(); ?>. This code will call the function that you created in the functions.php file. Once you have added this code, save the file and the function should now appear in your theme.
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Why is a 5th interval called perfect?
The 5th interval is called perfect
Interval notation is a method to represent an interval on a number line.
The 5th interval is called perfect
Interval notation is a method to represent an interval on a number line. In other words, it is a way of writing subsets of the real number line. An interval comprises the numbers lying between two specific given numbers. For example, the set of numbers x satisfying 0 ≤ x ≤ 5 is an interval that contains 0, 5, and all numbers between 0 and 5.
Interval Notation is a way of expressing a subset of real numbers by the numbers that bound them. We can use this notation to represent inequalities. We know an interval expressed as 1 < x < 5 denotes a set of numbers lying between 1 and 5.
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2 of 10
x
Colin buys a car for £27900.
It depreciates at a rate of 3% per year.
How much will it be worth in 2 years?
Give your answer to the nearest penny where appropriate.
Answer:
Below
Step-by-step explanation:
3% loss means 97% (.97 in decimal ) remains
after 2 years :
27 900 ( .97)^2 = £ 26251 .11
Question 15 of 27
What are the zeros and x-intercepts of this quadratic function?
-5
A. Zeros: -2 and 1
5
-5
Select two answers: one for the zeros and one for the x-intercepts.
5
B. Zeros: -1 and 2
C. x-Intercepts: (-1,0) and (2,0)
D. x-Intercepts: (0, -1) and (0, 2)
E. Zeros: 1 and 2
OF. x-Intercepts: (-2, 0) and (1, 0)
Correct options are: A. Zeros: -2 and 1
E. x-Intercepts: (-2, 0) and (1, 0)
What are zeros & x-intercepts of quadratic function?
The zero of the function is where the y-value is zero.
The x-intercept is where the graph crosses the x-axis.
The zeros of a quadratic function are the values of x for which the function equals zero. In other words, they are the solutions to the equation f(x) = 0. For the given quadratic function, the zeros
are -2 and 1.
The x-intercepts of a function are the points at which the function crosses the x-axis. In other words, they are the solutions to the equation f(x) = 0 when y = 0. For the given function, the x-intercepts are (-2, 0) and (1, 0) which are the points on the x-axis where the function crosses it.
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The other day, we made green water by mixing 5 ml of blue water with 15 ml of yellow water.
We want to make a very SMALL batch of the SAME shade of green water.
We need to know how much yellow water to mix with only 1 ml of blue water.
Graph the system.
What is the estimated solution of the system?
Enter your answer in the blanks. Round each coordinate to the nearest integer.
The lines intersect closest to the integer coordinates
The solution to the system of linear equations (x, y) lies along 4 and 7 and the graph is attached below.
What is Graph of System of Linear EquationsA graph of a system of linear equations is a set of points in a coordinate plane that represent all the solutions to the system of equations. The graph can be visualized as a collection of lines that intersect at the points that are solutions to the system.
In the given problem, we have two linear equations which are
y = 3x - 6 ...eq(i)
y = 2/5x + 5 ...eq(ii)
Plotting the two equations on a graph using a graphing tool, the point of intersection is the solution to the system of linear equation.
The coordinates to the nearest integer are (x, y) 4 and 7
The value of x is 4 and y is 7
Kindly find attached graph below.
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Tran is making fasnachts (deep-fried German doughnuts) to sell the
Tuesday before Ash Wednesday, her bakery's biggest fasnacht day of
the calendar year. She has 8 pounds of butter and her recipe calls for
1/4 cup of butter per 2 dozen
fasnachts. If 1 pound of butter is 2 cups,
then how many individual fasnacht doughnuts will Tran be able to
make?
Answer:
1,536
Step-by-step explanation:
1 pound equals 2 cups, so 8 pounds will be 16 cups.
[tex]\frac{16}{\frac{1}{4} }[/tex] = 16 x 4 = 64
She can make 64 2 dozen fasnachts. There are 24 fasnachts in 2 dozen.
64 x 24 = 1536 individual fasnachts doughnuts.
Question 5
Describe the reflection that maps ST, with vertices S(-7, 1) and T(-7, 5), onto itself. Use decimals, if necessary.
reflection in the line y =______
The reflection that maps ST onto itself is a reflection in the line y = -7.
What is the line of symmetry?
Reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure which does not change upon undergoing a reflection has reflectional symmetry. In 2D there is a line/axis of symmetry, in 3D a plane of symmetry.
A reflection maps a geometric figure onto itself by "flipping" it across a line of symmetry. In this case, the reflection maps ST onto itself, so the line of symmetry must be a line that ST is reflected across.
To find this line, we can look at the two given vertices of ST, S(-7, 1) and T(-7, 5).
We can see that these points have the same x-coordinate (-7), which means that the line of symmetry must be a vertical line passing through the x-coordinate of -7.
Therefore, the reflection that maps ST onto itself is a reflection in the line y = -7.
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What should be the value of a if the value of 2x² X − a 5 when x 0?
The value of a=0 in a given expression.
what are expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of phrases. The other number is x, and a number is 6 greater than half of it. In a mathematical expression, this proposition is denoted by the equation x/2 + 6.
Define algebraic expression.An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.
If the value of 2x² - a*5 when x = 0 is 0, then we can substitute x = 0 into the equation and solve for a.
So,
[tex]2(0)² - a5 = 0[/tex]
[tex]-a5 = 0[/tex]
[tex]a = 0[/tex]
Therefore, the value of a should be 0.
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aleris is sending a fancy organic fruit basket to her grandma for her birthday. apples cost $3 and oranges cost $2. Aleris can spend no more than $24 on the gift. write an inequality that describes the situation
The inequality when apples cost $3 and oranges cost $2 and Aleris can spend no more than $24 on the gift is 3a + 2o ≤ 24.
How to illustrate the inequality?Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.
In this case, Aleris is sending a fancy organic fruit basket to her grandma for her birthday. apples cost $3 and oranges cost $2 and Aleris can spend no more than $24 on the gift.
Let apple = a
Let orange = o
Therefore, the inequality will be:
3a + 2o ≤ 24.
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A researcher compares the effectiveness of two different instructional methods for teaching anatomy. A sample of 293 students using Method 1 produces a testing average of 82.9. A sample of 282 students using Method 2 produces a testing average of 76.5. Assume that the population standard deviation for Method 1 is 7.97, while the population standard deviation for Method 2 is 6.66. Determine the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2. Step 2 of 3 : Calculate the margin of error of a confidence interval for the difference between the two population means. Round your answer to six decimal places. g
The 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 as calculated from the given data is 5.20 and 7.60.
The confidence interval for the difference of the population mean is calculated as,
CI = ( x1 - x2 ) +- z x √SD1²/n1 + SD2²/n2
= ( 82.9 - 76.5) +- 1.96 x √7.97²/293+ 6.66²/n2.82
=6.4 ± 1.199
=(v5.201 , 7.599)
therefore , approximately 5.20 , 7.60 .
Therefore , the confidence interval between them is found to be as , ( 5.20 , 7.60 ) answer.
The confidence interval is a calculation based on the statistics of the observed data that estimates the amount of uncertainty associated with a sample.
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Help Me Out ASAP please
On solving the provided question, we can say that - here in this inequality 17[tex]\leq[/tex]2x - 3[tex]\leq[/tex]25
What is inequality?A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.
17[tex]\leq[/tex]2x - 3[tex]\leq[/tex]25
[tex]20\leq 2x\leq 28\\10\leq x\leq 14[/tex]
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Sue has 18 sweets
Tony also has 18 sweets
Sue gives Tony × sweets
Sue then eats 5 of her sweets
Tony then eats half of his sweets
Write expressions for the amount of sweets Tony and Sue now have
The expressions for the number of sweets that Tony and Sue now have are:
Given:
Sue has 18 sweets
Sue = 18
Tony also has 18 sweets, that is:
Toney = 18
Sue gives Tony × sweets; that is
Sue = 18 - x; and
Tony = 18 + x
Sue then eats 5 of her sweets, Tony then eats half of his ⇒ Sweets:
that is ⇒
Sue = 18 - x - 5
Tony = (18 + x) / 2
Thus, simplifying the above, we have:
Sue = 13 - x
Tony = (18 + x) / 2
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Donny is raising money for the school charity drive by mowing lawns for $9.75 per lawn. How much will he raise for the drive? its a liner equation.
Answer:
y = 9.75x
Step-by-step explanation:
y = the money earned
x = number of lawns.
A rectangle has a perimeter represented by the expression 4x−8. Which expression also represents this perimeter? 4(x-8), 2(2x-8), 2(2x-4), 4(2x-4)
The perimeter expression of a rectangle has a perimeter represented by the expression 4x−8 is 2(2x - 4)
How to determine the perimeter expressionFrom the question, we have the following parameters that can be used in our computation:
Perimeter = 4x - 8
Factor out 2 from the expression
So, we have the following representation
Perimeter = 2 * 2x - 2 * 4
So, we have
Perimeter = 2(2x - 4)
Hence, the perimeter is 2(2x - 4)
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help help help help help help help
The required point-slope form of the equation of the line is y - 20= -5(x + 1).
Given that, To determine an equation in point-slope form for the line that passes through the point with the given slope. point: (-2,-20) and m=-5.
What is the slope of the line?The slope of a line is the measure of the steepness and the direction of the line. Finding the slope of lines in a coordinate plane can help in predicting whether the lines are parallel, perpendicular, or none without actually using a compass.The slope of any line can be calculated using any two distinct points lying on the line. The slope of a line formula calculates the ratio of the "vertical change" to the "horizontal change" between two distinct points on a line. In this article, we will understand the method to find the slope and its applications.To learn more about point-slope refer to:
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Lily purchases 3 gallons and two quarts of ice cream. How much ice cream did she purchase, in QUARTS
Answer:
14 Quarts
Step-by-step explanation:
1 Gallon = 4 Quarts.
3x4 = 12 + 2 = 14 Quarts.
Marcelle and Megan realized that they could express their ages more specifically if they used fractions. Doing this will allow them to calculate their difference in their ages. Marcelle is $15\frac{1}{2}$ years old, and Megan is $7\frac{7}{12}$. What is the difference in their ages? Express your answer as a simplified mixed number.
The difference between their ages is obtained as 35/12.
What is the difference?Let us recall that the term fraction has to do with a part of a whole. In this case, we have been told that Marcelle and Megan realized that they could express their ages more specifically if they used fractions.
Age of Marcelle = 15 1/2 or 31/2 years
Age of Megan = 12 7/12 or 151/12 years
The difference between their ages is;
31/2 - 151/12
=186 - 151/12
=35/12
There ages would have a difference of 35/12.
In the computation that has gone on above, we can clearly see that the difference in the ages is 35/12.
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Missing parts;
Marcelle and Megan realized that they could express their ages more specifically if they used fractions. Doing this will allow them to calculate their difference in their ages. Marcelle is 15 1/2 years old, and Megan is 7 7/12. What is the difference in their ages? Express your answer as a simplified mixed number.
Identify all of the necessary assumptions for a significance test for comparing dependent means.
>Categorical Data
>At least 15 successes and 15 failures in both groups
>Quantitative Data
>Random Samples or Random application of treatments
>n is greater than or equal to 30 OR Population of Differences could be Normally distributed.
>Both sample sizes are greater than 30 or Both population distributions could be Normally Distributed
The correct answer will be:
Quantitative data, both sample sizes are greater than 30 or Both population distributions could be Normally Distributed, Random Samples or Random application of treatments
There should be just one group for each subject. The observations in each category are unrelated to one another. There were no notable outliers in any category.
The following are the presumptions for a percentage significance test: Data come from a random sample [Sample is large enough, which is presumed to be true when. It should be noted that both quantitative and categorical data can be subjected to a significance test for a proportion.
Most parametric tests begin with the underlying presumption of population distribution. The ratio scale or interval scale measurements, easy random extraction, normal distribution of the data, a sufficient sample size, and homogeneity of variance are all prerequisites for performing the t-test.
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Which of the following can you determine, when you use deduction and start
from a given set of rules and conditions?
A. What may be true
B. What must be true
C. None of these
D. What may be false
k
The correct option is B.Because when i use deduction and start from a given set of rules and condition is what must be true.If you analyze it to be true then it must be definitely true.
What is deduction in math?Deduction is a conclusion from something known or assumed. This is the type of reasoning we use in almost every step in a mathematical argument. For example to solve 2x = 6 for x we divide both sides by 2 to get 2x/2 = 6/2 or x = 3.
What is deduction rule in logic?In mathematical logic a deduction theorem is that justifies doing conditional proofs—to prove an implication A → B, assume A as an hypothesis and then proceed to derive B—in systems that do not have an explicit inference rule for this.
Now we able to know
Deduction is a term used to known as validated principle.This is when you analyze points through logic from a given set of rules and condition.
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The temperature was recorded at midnight for 5 consecutive days. The
recorded temperatures are: -2°, 4°, 5°, -6°, and 9°. What is the average
temperature?
Which equation describes a line with a slope of 2/5 that passes through (0,4)
Answer: y = 2/5x + 4
Step-by-step explanation:
We will write a point-slope form equation for this line, then simplify it into a slope-intercept form equation.
Given point-slope form:
➜ m is the slope
➜ (x1, y1) is the point given
y - y1 = m(x - x1)
Substitute values in:
y - (4) = (2/5)(x - (0))
Distribute 2/5:
y - 4 = 2/5x - 0
Add 4 to both sides of the equation:
y = 2/5x + 4
Step-by-step explanation:
since we have the slope and a point, we can start with the point-slope form
y - y1 = a(x - x1)
a is the slope, (x1, y1) is the given point.
y - 4 = (2/5)(x - 0) = 2x/5
y = 2x/5 + 4
or
y = (2/5)x + 4
After my salary was increased by $16\%,$ it was $\$52{,}200$. What was my salary before the increase
%, a relative figure signifying hundredths of any amount. Before the raise, I was making $45,000.
What is percentage?A percentage that represents a tenth of a quantity. In essence, percentages are fractions with a denominator of 100. The percent symbol (%) is placed next to a number to indicate that it is a percentage. For instance, you would have received a 75% on the examination if you correctly answered 75 out of 100 questions (75/100).
Calculating a percentage involves dividing an item by its sum and multiplying the result by 100.
Considering the query
It was $52,200 after a 16% raise in my pay.
In light of the conditions stated, come up with
[tex]$=\frac{52200}{1+16 \%}$$=\frac{52200}{1+0.16}$$=\frac{52200}{1.16}$$=\frac{5220000}{116}$[/tex]
= $45000
Before the raise, I was making $45,000.
Therefore, the answer is $45,000.
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How would the information collected using transect or quadrat sampling differ from the information collected if you had just divided the habitat into quarters and sampled only one of the quarters
I feel that dividing based off actual zoning laws and regulations would provide the best source of data. I feel as such because if you simply devise your own areas, that may make your data incorrect depending on what area a person actually associates with. If you're creating your own area, information could get misconstrued leading to inaccurate conclusions.
Sampling
Sampling means selecting the group that you will actually collect data from in your research.
zoning
Zoning is a method of urban planning in which a municipality or other tier of government divides land into areas called zones, each of which has a set of regulations for new development that differs from other zones.
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