The rent per unit should be $8,354.22 to generate a Net Operating Income (NOI) of $100,000, given the vacancy rate and operating expenses.
What are the operating expenses?The operating expenses are costs that must be deducted from the gross operating income to arrive at the net operating income.
The operating expenses do not include some period expenses, which are indirect costs.
Total
Rent per unit (per month) = $696.19 ($8,354.22/12) $150,376
Vacancy Rate (5% of Potential Gross Income) 7,519
Effective Gross Income $142,857
Operating Expenses (30% of Effective Gross Income) 42,857
Net Operating Income (NOI) $100,000
Number of Units 18
Working Backwards:Gross operating income = net operating income + operating expenses
Operating expenses = 30% of effective gross income
Net operating income = 70% of effective gross income (100 - 30%)
= $100,000
Effective Gross Income (100%) = $142,857 ($100,000 ÷ 70%)
Vacancy rate = 5% of potential gross income
Effective Gross Income = 95% (100 - 5)
Potential gross income = $150,376 ($142,857 ÷ 95%)
Number of units = 18
Rent per unit = $8,354.22 ($150,376/18)
Rent per month = $696.19 ($8,354.22 ÷ 12)
Thus, a rent of $8,354.22 per unit can generate a Net operating income of $100,000.
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I don’t understand this .
Answer:
explanation
Step-by-step explanation:
it sounds like most of the people liked the Lawrence Spartans and if they didn't win they wouldn't cheer and it makes sense say if you like a certain basketball team and they lose you wouldn't cheer.and it sounds like everyone likes that team.
Isaac has a piece of rope that 5 yards long. Into how many 1/2 - yard pieces of rope isaac can cut?
Answer:
10
Step-by-step explanation:
So there are 5 pieces of rope, if you cut them all in half then that would double the number.
Answer:
10
Step-by-step explanation:
5 divided by 1/2 is 10
Two systems of equations are given below.
For each system, choose the best description of its solution.
If applicable, give the solution.
System A
x+3y=9
-x-3y=9
System B
-x-3y=-3
x+3y=3
O The system has no solution.
O The system has a unique solution:
(x, y) = (
O The system has infinitely many solutions.
They must satisfy the following equation:
y = 0
O The system has no solution.
O The system has a unique solution:
(x, y) = (D)
O The system has infinitely many solutions.
They must satisfy the following equation:
y=0
The system A has no solution.
The system B has the solution y=( 3-x )/3
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
System A:
x+3y=9..........(1)
-x-3y=9 ..........(2)
(1) => x=9-3y........(3)
Substitute (3) into (2)
(2) = > - ( 9-3y ) - 3y = 9
-9 + 3y - 3y = 9
-9 =9
This is false.
So, the system has no solution.
System B:
-x-3y=-3..........(1)
x+3y=3..........(2)
(2) => x=3-3y........(3)
Substitute (3) into (1)
-(3-3y)-3y=-3
-3+3y-3y= -3
-3=-3
This is true,
So, the solution is:
x=3-3y
=> 3y= 3-x
=> y=( 3-x )/3
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What’s the greatest 4/19 3/5 3/15 4/25
Answer:
3/5
Step-by-step explanation:
Answer:
3/5
Step-by-step explanation:
the smallest number is all ways the biggest in fractions
The numbers of blocked intrusion attempts on each day during the first two weeks of
the month were-
53, 47, 49, 37, 38, 60, 50, 43, 43, 59, 50, 56, 54, 59
Construct a stem-and-leaf plot and find the quartiles number of blocked intrusion.
Answer:
quartiles: 43, 56median: 50Step-by-step explanation:
A stem-and-leaf plot is a kind of histogram in which the most significant digit of a data value is taken to be the "stem", and the "leaves" are a list of the least-significant digits of the data values. It is convenient to list the leaves in increasing order, to facilitate determining the quartiles in the data.
__
The 14 data set values can be represented by the plot below. Here, we have elected to use parentheses ( ) to identify the 1st and 3rd quartile values, and a slash / to signify the location of the median.
__
stem | leaves
3 | 7 8
4 | 3 (3) 7 9
5 | 0 / 0 3 4 (6) 9 9
6 | 0
_____
The first and third quartiles are 43 and 56, respectively. The median is 50.
A 95% confidence interval for mean waiting time at an emergency room ( ER) of 128 minutes, 147 minutes
The friend's claim is not supported by the confidence interval, as the lower bound of the interval is above 120 minutes.
What is the interpretation of a x% confidence interval?The bounds of the confidence interval are given by the estimate of the parameter plus/minus the margin of error.
The meaning of the interval is that it is x% likely that the population parameter(mean/proportion/standard deviation) is between the bounds a and b of the confidence interval.
Hence the interpretation of this interval is:
We are 95% sure that the true mean waiting time at an emergency room is between 128 minutes and 147 minutes.
Two hours are equivalent to 120 minutes, hence the friend's claim is not supported by the interval, as both bounds of the interval are above 120.
Missing InformationThe problem is given by the image shown at the end of the answer.
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Mike had $800. He now has $500. What is the percent decrease?
Use the histogram to answer the following questions.
Frequency
The frequency of the class 90-93 is
The frequency of the class 94-97 is
This means that a total of
5.5
5
4.5
Your answers should be exact numerical values.
The frequency of the class 86-89 is
86
94
90
Duration of Dormancy (minutes)
dormancy periods were recorded.
The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of periods is given as follows:
5 + 6 + 4 = 15.
The frequency of each class is given as follows:
86 - 89: 5/15 = 1/3.90 - 93: 6/15 = 2/5.94 - 97: 4/15.Learn more about the concept of probability at https://brainly.com/question/24756209
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My checking account balance was $443 on February 1st and $872 on February 7th. Show the rate of change
Answer:
$61.29 per day.
Step-by-step explanation:
Checking account balance on February 1st: $443
Checking account balance on February 7th: $872
Difference in balances: $872 - $443 = $429
Number of days between February 1st and February 7th: 7 days
Rate of change = Difference in balances / Number of days
Rate of change = $429 / 7 days
To find the rate of change per day, divide the difference in balances by the number of days:
Rate of change = $429 / 7 days ≈ $61.29 per day
Therefore, the rate of change in your checking account balance during that period was approximately $61.29 per day.
Find the distance between the two points in simplest radical form.
(2,-5) and (7,7)
Answer:
13
Step-by-step explanation:
use distance formula \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(7-2)^2+(7-(-5))^2} =13\)
What is the sign of -1.69 + (-1.69)\
A. Positive
.B Negative
Or C
Answer:
B. Negative
Step-by-step explanation:
→ -1.69 + (-1.69)
→ -1.69 - 1.69
→ -3.38
So, the sign is negative.
Solve each system of linear equations below, then check your work.
A. 3x−y=−11 −x+y=5
B -2y+3= 4x + 2 6x + 4y=1
C. 32y- x= -25 5x= 100 + x - 8Y
D. 2y + 3x = 6 4x + 5y +20 = 0
A. The solution of linear equation is (x, y) = (-3, 8).
B. The solution is (x, y) = (3/4, -1).
C. The solution is (x, y) = (-31/8, 3/8).
D. The solution is (x, y) = (55/7, -117/14).
A. 3x - y = -11 --- (1)
-x + y = 5 --- (2)
From equation (2), we can write y = x + 5, and substitute it in equation (1):
3x - (x + 5) = -11
2x = -6
x = -3
Substituting x in equation (2):
-y = -8
y = 8
Therefore, the solution of the system is (x, y) = (-3, 8).
To check the solution, we substitute the values of x and y in the original equations:
3(-3) - 8 = -11 (True)
-(-3) + 8 = 5 (True)
So, the solution is correct.
B. -2y + 3 = 4x + 2 --- (1)
6x + 4y = 1 --- (2)
From equation (1), we can write 4x + 2 = -2y + 3, and substitute it in equation (2):
6x + 4y = 1
6x - 4y = 8 (rearranging)
12x = 9
x = 3/4
Substituting x in equation (1):
-2y + 3 = 4(3/4) + 2
-2y + 3 = 5
-2y = 2
y = -1
Therefore, the solution of the system is (x, y) = (3/4, -1).
To check the solution, we substitute the values of x and y in the original equations:
-2(-1) + 3 = 4(3/4) + 2 (True)
6(3/4) + 4(-1) = 1 (True)
So, the solution is correct.
C. 32y - x = -25 --- (1)
5x = 100 + x - 8y --- (2)
From equation (2), we can write 4x = 100 - 8y, and substitute it in equation (1):
32y - x = -25
32y - (100 - 8y) = -25
40y = 75
y = 3/8
Substituting y in equation (1):
32(3/8) - x = -25
x = -31/8.
Therefore, the solution of the system is (x, y) = (-31/8, 3/8).
To check the solution, we substitute the values of x and y in the original equations:
32(3/8) - (-31/8) = -25 (True)
5(-31/8) = 100 + (-31/8) - 8(3/8) (True)
So, the solution is correct.
D. To solve the system of equations:
2y + 3x = 6 --- (1)
4x + 5y + 20 = 0 --- (2)
We can rearrange equation (2) to isolate one of the variables:
4x + 5y = -20 (subtracting 20 from both sides)
5y = -4x - 20 (subtracting 4x from both sides)
y = (-4/5)x - 4 (dividing both sides by 5)
Substituting this value of y in equation (1):
2((-4/5)x - 4) + 3x = 6
(-8/5)x - 8 + 3x = 6
(-8/5)x + 3x = 14
(-8/5 + 3)x = 14
(-8/5 + 15/5)x = 14
(7/5)x = 14
x = 10
Substituting this value of x in the equation for y:
y = (-4/5)(10) - 4
y = -12.
Therefore, the solution of the system is (x, y) = (10, -12).
To check the solution, we substitute the values of x and y in the original equations:
2(-12) + 3(10) = 6 (True)
4(10) + 5(-12) + 20 = 0 (True)
So, the solution is correct.
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At a baseball game, a vender sold a combined total of 191 sodas and hot dogs. The number of hot dogs sold was 47 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.
Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.
According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:
x + y = 191 ...(1)
The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:
y = x - 47 ...(2)
To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:
x + (x - 47) = 191
Simplifying the equation:
2x - 47 = 191
2x = 191 + 47
2x = 238
Dividing both sides by 2:
x = 238/2
x = 119
Substituting the value of x back into equation (2):
y = 119 - 47
y = 72
As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.
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Which list all the factors of 25 that are also prime
Answer: 5 or 5, 5
Step-by-step explanation: Prime numbers are numbers that have only 2 factors: 1 and themselves. A factor of a number is a number or quantity that when multiplied with another produces a given number or expression. The only factors of 25 are 1, 5, and 25, and the only number from this list that is prime is 5, so 5 is the only prime factor. 5 is also multiplied by itself to get 25 so the list could also be 5, 5.
Andrew borrowed $700 from the bank to start a pressure washing business. The bank charged a simple interest rate of 7% per year. If it takes Andrew 3 years to pay back the loan, how much interest will he pay?
PLZ MAKE SURE IT IS RIGHT
Answer:
Simple interest=(Principal×Rate×Time)/100
Principal=$700
Rate=7%
Time=3 years
S.I.=(700×7×3)/100=147
Andrew has to pay a interest of $147.
Mr. Cho received a container of fresh eggs. He sold 1/3
of the eggs in the
morning and sold 320 eggs in the afternoon. At the end of the day, he
found that 1/4
of the eggs were not sold. How many eggs did he receive in
the beginning?
Mr. Cho received 3840 eggs in the beginning.
Let's assume that Mr. Cho received x eggs in the beginning.
In the morning, he sold 1/3 of the eggs, so he had 2/3 of the eggs left. Therefore, he had 2/3 x eggs left after the morning sales.
In the afternoon, he sold 320 eggs, so he had 2/3 × x - 320 eggs left at the end of the afternoon.
At the end of the day, he found that 1/4 of the eggs were not sold, which means that he had 3/4 of the eggs left. Therefore, we have:
3/4 × x = 2/3 × x - 320
Multiplying both sides by 12, we get:
9x = 8x - 3840
Simplifying, we get:
x = 3840
Therefore, Mr. Cho received 3840 eggs in the beginning.
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Question:-
The area of two similar triangles are 81 cm2 and 49 cm² respectively. If one of the sides of the first triangle is 6.3 cm, find the corresponding side of the other triangle.
Let's assume that the corresponding side of the second triangle is \(\displaystyle\sf x\).
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:
\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)
To find \(\displaystyle\sf x\), we can solve the proportion above:
\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)
Taking the square root of both sides:
\(\displaystyle\sf \dfrac{x}{6.3} =\sqrt{\dfrac{49}{81}}\)
Simplifying the square root:
\(\displaystyle\sf \dfrac{x}{6.3} =\dfrac{7}{9}\)
Cross-multiplying:
\(\displaystyle\sf 9x = 6.3 \times 7\)
Dividing both sides by 9:
\(\displaystyle\sf x = \dfrac{6.3 \times 7}{9}\)
Calculating the value:
\(\displaystyle\sf x = 4.9\)
Therefore, the corresponding side of the second triangle is \(\displaystyle\sf 4.9 \, cm\).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Answer:
Step-by-step explanation:
let's assume that the corresponding side of the second triangle is .
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:
To find , we can solve the proportion above:
Taking the square root of both sides:
Simplifying the square root:
Cross-multiplying:
Dividing both sides by 9:
Calculating the value:
Therefore, the corresponding side of the second triangle is 4.9cm
hope it helped u dear...........
What is the solution to the system of equations graphed below?
==================================================
The graphs cross at this point. Intersection points are solutions to systems of equations.
Put another way, (1,4) is on the blue line and on the red line simultaneously.
A point on the red line is a solution to the red equation. A point on the blue line is a solution to the blue equation.
-----------------
Checking the answer:
y = x+3
4 = 1+3 ... plug in x = 1 and y = 4 into the blue equation
4 = 4 .... solution works for the blue equation
y = 3x+1
4 = 3(1)+1 ... plug in x = 1 and y = 4 into the red equation
4 = 3+1
4 = 4 ... solution also works for the red equation
This fully confirms the solution
solve the following by multiplying by the inverse of the fractional coeffident 2/5t=20
Answer:
t=1/50
Step-by-step explanation:
2/5t=20
2=100t
2/100=t
t=1/50
Answer and I will give you brainiliest
Answer: You can buy 5 shirts if you buy 2 pair of pants.
Step-by-step explanation: Just out of curiosity, where do you live? I’m just wondering because I’ve never heard of the AED as a money unit... lol
Answer:
Step-by-step explanation:
Why are you so mean to me
What linear function has the same y-intercept as the one that is represented by the graph?
The 3rd answer, y = 2x + 3
The graph has a y-intercept of positive 3. The y-intercept is when x is equal to 0 on the line.
Dividing the sum of (7/8) (15/4) (1/12) by their multiplication gives _________
The Division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).
To find the division of the sum of (7/8), (15/4), and (1/12) by their multiplication, we first need to calculate the sum and multiplication of the given fractions.
The sum of the fractions is:
(7/8) + (15/4) + (1/12)
To add these fractions, we need a common denominator. The least common multiple of 8, 4, and 12 is 24. Let's convert each fraction to have a denominator of 24:
(7/8) = (21/24)
(15/4) = (90/24)
(1/12) = (2/24)
Now we can add the fractions:
(21/24) + (90/24) + (2/24) = (113/24)
The multiplication of the fractions is:
(7/8) * (15/4) * (1/12)
To multiply fractions, we multiply the numerators and denominators:
(7*15*1) / (8*4*12) = (7/96)
Now we can divide the sum of the fractions by their multiplication:
(113/24) / (7/96)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(113/24) * (96/7) = (2712/168)
Therefore, the division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).
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Point Q is the midpoint of GH¯¯¯¯¯¯. GQ=2x+3, and GH=5x−5 .
What is the length of GQ¯¯¯¯¯?
Answer:
\(GQ =25\) --- GoTV
Step-by-step explanation:
Given
\(GQ = 2x + 3\)
\(GH= 5x - 5\)
Required
Find GQ
Since Q is the midpoint, then:
\(GH = 2 * GQ\)
This gives:
\(5x - 5 = 2[2x+3]\)
Open bracket
\(5x - 5 = 4x+6\)
Collect like terms
\(5x - 4x = 5+6\)
\(x =11\)
We have:
\(GQ =2x+3\)
This gives:
\(GQ =2*11+3\)
\(GQ =25\)
RENTALS Sofia will rent her beach cottage for twelve weeks this year. She wants to make at least $25,000 for the year after paying her insurance company an $800 rental premium.
Using proportions, it is found that Sofia must rent her house for at least $2,150 a week to make the desired amount.
What is the missing information?This problem is incomplete and not found on any search engine, hence we are going to suppose the minimum rent price she has to ask to make the desired amount.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, that can be either direct(cross multiplication) or inverse(line multiplication), deriving from proportional relationships. One example of application of proportions is for unit rate problems, such as is the case for this problem.
For this problem, we have that:
She rents her home for 12 weeks.She wants to make at least $25,800 with the renting($25,000 + $800 rental premium).Hence the minimum amount that she has to charge for the rent is:
25800/12 = $2,150 a week.
Sofia must rent her house for at least $2,150 a week to make the desired amount.
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The balance on a credit card, that charges a 15.5%
APR interest rate, over a 1 month period is given in
the following table:
Days 1-3: $200 (initial balance)
Days 4-20: $300 ($100 purchase)
Days 21-30: $150 ($150 payment)
What is the finance charge, on the average daily
balance, for this card over this 1 month period?
finance charge = $ [?]
Round to the nearest hundredth.
Enter
4
Finance charge = $93.00
What is finance charge of credit card?The interest you'll pay on a loan is defined as a finance charge, and it's most commonly used in the context of credit card debt. A financing fee is computed by taking your annual percentage rate, or APR, the amount you owe, and the time period into account.
Given that,
Interest rate = 15.5%
Date: 1-3 (3 days)
Average daily balance = amount paid × days
= $200 × 3 = $600
Date: 4-20 (17 days)
Average daily balance = amount paid × days
= $300 × 17 = $5100
Date: 21-30 (10 days)
Average daily balance = amount paid × days
= $150 × 10 = $1500
So, total average daily balance for the month
= $(600+5100+1500)
= $7200
Now, the finance charge = $7200 × (15.5÷12)
= $93.00
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which of the following years were leap years according to the calendar used before the time of pope gregory: 1000, 1492, 1600, 1776?
The probability 1000, 1600, and 1776 were leap years according to the calendar used before the time of pope gregory, but 1492 was not.
The calendar used before the time of Pope Gregory was the Julian Calendar, which was introduced by Julius Caesar in 46 BC. This calendar used a system of leap years, where an extra day was added to the month of February every four years. This was to account for the fact that a solar year is slightly longer than 365 days. For a year to be a leap year under this system, it must be divisible by 4. Therefore, 1000, 1600, and 1776 were leap years according to the Julian Calendar, but 1492 was not since it is not divisible by 4. This calendar was replaced by the Gregorian Calendar in 1582, which uses a slightly modified leap year system. Under this system, a year is only a leap year if it is divisible by 4, but not if it is divisible by 100, unless it is also divisible by 400. Therefore, 1600 would still be a leap year under the Gregorian Calendar, but 1700, 1800, and 1900 would not be.
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You take a simple random sample of size 25 from a very large population in which the true proportion is p = 0.1. Which statement below best describes what you know about the sampling distribution of pˆ ?
answer choices
µ pˆ = 0.1; σ pˆ= √[(0.1)(0.9)/25] ; the distribution is skewed right.
µ pˆ = 0.1; σ pˆ= √[(0.1)(0.9)/25] ; the distribution is skewed left.
µ pˆ = 0.1; σ pˆ= √[(0.1)(0.9)/25] ; the distribution is approximately Normal.
µ pˆ = 0.1; we cannot use the formula σ pˆ = √[(0.1)(0.9)/25] ; the distribution is not approximately Normal.
µ pˆ = 0.1; we cannot use the formula σ pˆ = √[(0.1)(0.9)/25] ; the distribution is approximately Normal.
The correct statement is: µ pˆ = 0.1; σ pˆ= √ [(0.1) (0.9)/25]; the distribution is approximately Normal.
What is distribution?In statistics, a distribution refers to the way in which a set of data is spread out or distributed across its possible values. In other words, a distribution describes how frequently different values occur in a dataset.
Given by the question.
µ pˆ = 0.1; σ pˆ= √ [(0.1) (0.9)/25]; the distribution is skewed right.
µ pˆ = 0.1; σ pˆ= √ [(0.1) (0.9)/25]; the distribution is skewed left.
µ pˆ = 0.1; σ pˆ= √ [(0.1) (0.9)/25]; the distribution is approximately Normal.
µ pˆ = 0.1; we cannot use the formula σ pˆ = √ [(0.1) (0.9)/25]; the distribution is not approximately Normal.
µ pˆ = 0.1; we cannot use the formula σ pˆ = √ [(0.1) (0.9)/25]; the distribution is approximately Normal.
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Match the following expression to the correct problem
Column A
1. __ thirteen times a number squared
2. __ a number times eleven plus thirty-three
3. __ twelve less than a number
4. __ The quotient of a number and twenty
Column B
A. 11n + 33
B. p ÷ 20
C. y - 12
D. 13b^2
Example: 1. __ D. 13b^2
please help
Hence, in respοnse tο the prοvided questiοn, we can say that functiοn B. The quοtient οf a number and twenty cοrrespοnds tο p ÷ 20.
What is functiοn?Mathematicians research numbers and their variants, equatiοn and related structures, οbjects and their lοcatiοns, and prοspective lοcatiοns fοr these things. The term "mοdule" is used tο describe the cοnnectiοn that exists in between set οf inputs, each οf which has a cοrrespοnding οutput. A functiοn is an input-οutput cοnnectiοn in which each inputs results in sοmething like a single, distinct return.
A dοmain, cοdοmain, οr scοpe is assigned tο each functiοn. Functiοns are usually denοted by the letter f. (x). An x is used fοr entry. On capabilities, οne-tο-οne capabilities, multiple prοwess, in capabilities, and οn capabilities are the fοur majοr types οf accessible functiοns.
D. thirteen times a number squared cοrrespοnds tο 13b².
A. a number times eleven plus thirty-three cοrrespοnds tο 11n + 33.
C. twelve less than a number cοrrespοnds tο y - 12.
B. The quοtient οf a number and twenty cοrrespοnds tο p ÷ 20.
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What ratio is equivalent to 8/6
Answer:
3rd option: 32/24
Step-by-step explanation:
8/6 = 4/3
1st option: Now let's change the denominator to 24:
4/3 ==> ?/24
4/3 =
4*8 / 3*8 = 32/24, not 3/24.
2nd option: Now let's change the numerator to 24:
4/3 ==> 24/?
4/3 =
4*6 / 3*6 = 24/18, not 24/32
24/32 = 3/4, not 4/3 ==> don't get confused by this
3rd option: 32/24 is correct [Look at the explanation for 1st option]
4/3 ==> ?/24
4/3 =
4*8 / 3*8 = 32/24, not 3/24.
Hence, the 3rd option is correct.
Can you help me with this equation?
The linear function that relates y to x is given as follows:
y = -0.5x + 57.
The slope indicates that the height decays 0.5 feet per minute. The y-intercept indicates that the descent starts at a cruising altitude of 57 feet.
How to define a linear function?
The slope-intercept equation for a linear function is presented as follows:
y = mx + b
The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:
m represents the slope of the function, which is by how much the dependent variable y increases or decreases when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.From the table, when x = 0, y = 57, hence the intercept b is given as follows:
b = 57.
When x increases by 10, y decays by 5, hence the slope m is given as follows:
m = -5/10
m = -0.5.
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