Quick algebra 1 assignment for 50 points!
Only answer if you know the answer, quick shout-out to Yeony2202, tysm for the help!
Oh by the way this is just a section of the real assignment, the assignment calls for you to make an app that people can play to learn inverse variation & direct variation and stuff.
Hope that helps solve this! :)
Answers
The example on direct variation is illustrated below based on the information given.
How to illustrate the direct variation?An example will be:
When x = 2, y = 10. Find the value of y when x is 6.
In this case, this will be calculated thus:
y = kx
10 = 2k
k = 10/2
k = 5
Since y = kx.
y = 5 × 6
y = 30
The value of y is 30.
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Related Questions
Rank--from first to last--the following steps for finding the bottleneck and capacity in a process with rework.
Answers
Steps for finding the bottleneck and capacity in a process with rework:
atevaluateevaluate---What is the bottleneck and capacity in a process with a rework?In production and project management, a bottleneck is a process in a chain of processes whose restricted capacity reduces the capacity of the entire chain. A bottleneck causes production stalls, supply overstock, customer pressure, and low employee morale.To evaluate a reworked process, a weighted average processing time must be calculated. Because the processing time for rework differs from the initial processing time, a weighted average processing time must be computed. The resource's capacity is divided by its weighted average processing time.Steps for determining the bottleneck and capacity in a reworked process:atevaluateevaluate---Therefore, steps for finding the bottleneck and capacity in a process with rework:
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Rectangle 1 has length x and width y. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k, where k > 0. Are Rectangle 1 and Rectangle 2 similar? Why or why not? Write a paragraph proof to show that the perimeter of Rectangle 2 is k times the perimeter of Rectangle 1. Write a paragraph proof to show that the area of Rectangle 2 is times the area of Rectangle 1. Answer:
Answers
Yes, the two rectangles are similar, because rectangle 2 is a dilation of rectangle 1.
Are the two rectangles similar?
We know that rectangle 1 has dimensions L and W.
And rectangle 2 is made by multiplying the dimensions of rectangle 1 by a factor k > 0.
Then, rectangle 2 is just a dilation of rectangle 1, this means that in fact, the two rectangles are similar by definition.
Then:
Dimensions of rectangle 1:
Length = LWidth = W.Perimeter = 2*(W + L)Area = W*LFor rectangle 2:
Length = k*LWidth = k*WPerimeter = 2*(k*L + k*W) = k*(2*(L + W))Area = (k*L)*(k*W) = k²(L*W)Above we can see that the perimeter of rectangle 2 is k times the perimeter of rectangle 1, and the area of rectangle 2 is k squared times the area of the rectangle 1.
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What is the domain of the function represented by the graph? A graph shows an upward parabola on a coordinate plane vertex at (minus 4, minus 4) which intercepts axis at (minus 5, 0), and (minus 3, 0) passes through (minus 3, 1), and (minus 2.5, minus 5). all real numbers x ≤ -2 x ≥ -6 x ≥ 4
Answers
Using it's concept, the domain of the function represented by the graph is all real numbers.
What is the domain of a function?The domain of a function is the set that contains all possible input values for the function.
In this problem, a parabola is used, which has no restriction such as an even root or a fraction, hence the domain is all real values.
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A video game randomly chooses your car color and type. The probability
getting a red car is 0.20, and the probability of getting a convertible is
Event A = You get a red car.
Event B= You get a convertible.
A and B are independent events if
Answers
A and B are independent events if the probability of getting a red convertible is 0.08
How to determine the probability?The given parameters are:
P(A) = 0.20
P(B) = 0.40
The events are independent, if
P(A and B) = P(A) * P(B)
So, we have:
P(A and B) = 0.20 * 0.40
Evaluate
P(A and B) = 0.08
Hence, A and B are independent events if the probability of getting a red convertible is 0.08
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Complete question
A video game randomly chooses your car color and type. The probability of getting a red car is 0.20, and the probability of getting a convertible is 0.40.
Event A = You get a red car.
Event B = You get a convertible.
A and B are independent events if _____.
A.The probability of getting a red car or a convertible is 0.60.
B.The probability of getting a red car or a convertible is 0.08.
C.The probability of getting a red convertible is 0
D.The probability of getting a red convertible is 0.08
On a coordinate plane, line k l goes through (negative 6, 8) and (6, 0). point m is at (negative 4, negative 2). which point could be on the line that is parallel to line kl and passes through point m?
Answers
The equation of the line parallel to the line KL passing through the points (-6, 8) and (6, 0), and going through the point M (-4, -2) is 2x + 3y = -6. The point satisfying this equation is (-6, 2). Thus, the 2nd option is the right choice.
Slope of the line KL = (8 - 0)/(-6 - 6) = 8/(-12) = -2/3.
Using the formula of the slope of the line passing through the points (x₂, y₂) and (x₁, y₁), as m = (y₂ - y₁)/(x₂ - x₁).
The slope of the line parallel to the line KL will be equal to the slope of KL.
Thus, the slope of the required line is m = -2/3.
The required line also passes through point M (-4, -2).
Thus, the equation of the required line will be,
y - (-2) = (-2/3)(x - (-4)) {Using the equation of the line passing through the point (x₁, y₁) and a slope m, as y - y₁ = m(x - x₁)},
or, y + 2 = (-2/3)(x + 4),
or, 3(y + 2) = -2x - 8,
or, 2x + 3y = -6.
From the given points, only the point (-6, 2) satisfies the equation.
Thus, the equation of the line parallel to the line KL passing through the points (-6, 8) and (6, 0), and going through the point M (-4, -2) is 2x + 3y = -6. The point satisfying this equation is (-6, 2). Thus, the 2nd option is the right choice.
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The provided question is incomplete. The complete question is:
"On a coordinate plane, line K L goes through (negative 6, 8) and (6, 0). Point M is at (negative 4, negative 2). Which point could be on the line that is parallel to line KL and passes through point M?
(–10, 0)
(–6, 2)
(0, –6)
(8, –10)"
Quick algebra 1 question for some points!
Only answer if you know the answer, quick shout-out to Dinofish32, tysm for the help!
Answers
[tex] \frac{y}{x} = \frac{1}{ - 3} \\ - 3y = x[/tex]
[tex] - 3(2) = 6 = x[/tex]
( - 6 , 2 ) Option aSelect the correct answer. which equation is correctly rewritten to solve for x?
Answers
The rewritten equation for the given equation is [tex]x=\frac{h+g}{-f}[/tex]. So, option C is correct.
How to rewrite an equation?A linear equation given in the form ax + b = c can be rewritten to solve for x as below:
ax + b = c
⇒ ax = c - b
∴ x = (c - b)/a
So, here the basic operations such as addition, subtraction, multiplication, and division are used on both sides to rewrite the given equation for solving x.
Calculation:Given equation is -fx - g = h
Step 1: Adding 'g' on both sides
-fx - g + g = h + g
⇒ -fx = h + g
Step 2: Dividing by '-f' on both sides
-fx = h + g
⇒ -fx/-f = (h + g)/-f
∴ x = (h + g)/-f
Therefore, the rewritten equation to solve for x is x = (h + g)/-f.
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Disclaimer: The given question was incomplete in the portal. Here is the complete question.
Question: Select the correct answer. which equation is correctly rewritten to solve for x?
Equation: -fx = h + g
A. x = (g - h)/f
B. x = (h - g)/-f
C. x = (h + g)/-f
D. x = (h + g)/f
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 18, 3, 0, 3, 6, 3.
Using only the values given in the table for the function f(x) = –x3 + 4x + 3, what is the largest interval of x-values where the function is increasing?
(
,
)
Answers
The largest interval of x-values where the function is increasing is (-1, 1)
How to determine the largest increasing interval?The table of values is added as an attachment
From the table, the function f(x) decreases from x = -3 to x = -1 and x = 1 and x = 2
So, we make use of the intervals
x = -1, 0 and 1
From the table,
From x = -1 to 0, the change is 3
From x = 0 to 1, the change is 3
From x = -1 to 1, the change is 6
Using the above highlights, the largest increasing interval is (-1, 1)
Hence, the largest interval of x-values where the function is increasing is (-1, 1)
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Write Your recurrring decimal 0.255555...... as a fraction
Answers
Answer:
[tex]\frac{23}{90}[/tex]
Step-by-step explanation:
we require 2 equations with the recurring digit placed after the decimal point.
let x = 0.2555.. ( multiply both sides by 10 and 100 )
10x = 2.555... (1)
100x = 25.555.... (2)
subtract (1) from (2) thus eliminating the recurring digits
90x = 23 ( divide both sides by 90 )
x = [tex]\frac{23}{90}[/tex]
Answer:
[tex]\sf \dfrac{23}{90}[/tex]
Step-by-step explanation:
x = 0.25555..... --------------(I)
Number of non-recurring digits is 1. So, multiply equation (I) by 10.
10x = 2.5555.... --------------(II)
Number of recurring digits is 1. So, multiply equation (II) by 10.
100x = 25.5555...... (III)
Subtract equation (II) from (III)
100x = 25.5555........
10x = 2.5555.......
- -
90x = 23
x = 23/90
A quadrilateral has congruent side lengths. 2 opposite angles have measures of 100 degrees. The other 2 opposite angles have measures of 70 degrees and (5 x) degrees. What is the value of x
Answers
Answer: 18
Step-by-step explanation:
Angles of a quadrilateral add to 360 degrees, so
[tex]100+100+70+5x=360\\\\270+5x=360\\\\5x=90\\\\x=18[/tex]
2. There are 10 pieces of paper, numbered
consecutively from 20 to 29, stuffed in a box.
What is the probability of choosing a prime
numbered paper if one piece is chosen at
random?
Answers
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Prime numbers between 20 - 29 = 23 and 29.
There are 2 prime numbers out of these 10.
Therefore,
P(choose prime number) = [tex]\frac{2}{10} \\=\frac{1}{5}[/tex]
A rectangle with a length of x - 4 and a width of 8 has a perimeter of 34. what is the value of x?
Answers
Answer:
13
Step-by-step explanation:
2(x-4+8)=34
x-4+8=17
x+4=17
x=13
Which of the following is the MOST accurate definition of standard deviation
The average of a set of scores
The typical amount by which scores differ from the mean of a set of scores
The average of the sum of squared deviations from the mean
The mean absolute deviation of the sum of the squared deviation from the average
Answers
The MOST accurate definition of standard deviation is the mean absolute deviation of the sum of the squared deviation from the average. Option 4
Definition of standard deviation
Standard deviation can be defined as a statistic tool that measures the dispersion of a dataset in relation to its mean and is calculated as the square root of the available variance of the set.
It is calculated as the square root of the given variance.
Thus, the MOST accurate definition of standard deviation is the mean absolute deviation of the sum of the squared deviation from the average.
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If the term of arthematic progression decrease in magnitude then common difference must be
Answers
We can say that if the term of arithmetic progression decrease in magnitude then the common difference must be negative.
An arithmetic progression is a sequence where every term is a sum of the previous term and a common difference.
If we suppose the first term of an arithmetic progression to be a, and the common difference to be d, then the arithmetic progression goes like this:
The first term, a₁ = a,
Second term, a₂ = a₁ + d = a + d,
Third term, a₃ = a₂ + d = a + 2d,
Fourth term, a₄ = a₃ + d = a + 3d, and it goes so on up to,
The n-th term, aₙ = aₙ₋₁ + d = a + (n - 1)d.
In the question, we are asked if the term of arithmetic progression decrease in magnitude then what can we say about the common difference.
As the magnitude of the term decreases, we can show that as:
The n-th term < The first term,
or, aₙ < a₁,
or, a + (n - 1)d < a,
or, a + (n - 1)d - a < a - a {Subtracting a from both sides},
or, (n - 1)d < 0.
Since, n > 1, (n - 1) > 0, thus we get the common difference, d < 0, that is, the common difference is negative.
Thus, we can say that if the term of arithmetic progression decrease in magnitude then the common difference must be negative.
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When a person convicted of a crime appeals a conviction, he or she asks a higher court to examine the trial court's decisions to determine whether the proper procedures were followed.
Answers
The statement when a person convicted of a crime appeals a conviction, he or she asks a higher court to examine the trial court's decisions to determine whether the proper procedures were followed is True.
What is Appeals?Appeal occur when a person convicted of a crime want another court to reverse a decisions or to examine and re-check the judgement or outcome of a trial court outcome because the convicted person was not satisfied with the outcome or the result of the trial court .
Hence, the statement is true because an offender that was convicted of a crime can tend to files an appeal with a higher court or appellate court so as to examine the trial court's decisions.
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At a coffee shop, the manager recorded the number of customers who visited the store at the end of each hour. The graph shows the recordings for a 24-hour period. The function describing this graph is a transformation of the parent sine function, y=sin(x)
Which value is closest to the amplitude of the transformed function?
O 83 customers
O 27 customers
O 54 customers
O 30 customers
Answers
Based on the transformed function of y = sin(x) and the given parameters, the value that is closest to the amplitude of the transformed function is 54
Which value is closest to the amplitude of the transformed function?The amplitude of the function is calculated
Amplitude = Highest - Lowest
From the graph, we have the following points
Highest = 84
Lowest = 30
Substitute the known values in the above equation
Amplitude = 84 - 30
Evaluate the difference
Amplitude = 54
Based on the transformed function of y = sin(x) and the given parameters, the value that is closest to the amplitude of the transformed function is 54
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Find three consecutive integers such as two times the first integer, plus three times the second integer, minus the third integer, is equal to 21.
Answers
The three consecutive integers are 5, 6, and 7.
What are consecutive integers?
Whole numbers that follow one another without a gap are known as consecutive integers. A few examples of consecutive integers are 15, 16, and 17, 1,2 and 3, and so on.
Finding the Consecutive Integers
Let the three consecutive integers be a, a + 1, and a + 2.
These three consecutive integers are to be such that two times the first integer when added to three times the second integer minus the third integer, it is equal to 21.
⇒ 2a + 3(a+1) - (a+2) = 21
2a + 3a + 3 - a -2 = 21
5a - a + 3 - 2 = 21
4a + 1 = 21
4a = 20
a = 20/4
a = 5
∴ a+1 = 5+1
a+1 = 6
And, a+2 = 5 + 2
a +2 =7
Hence, the three consecutive integers come out to be 5, 6, and 7
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A rectangle has a width of 2.45 feet and a length of 6.5 feet. how will the area of the rectangle change if each side is increased by a factor of 5? the area will be one-fifth the original. the area will be startfraction 1 over 25 endfraction the original. the area will be 25 times the original. the area will be 5 times the original.
Answers
The area of the new rectangle will be 25 times that of the original
Area of a rectangleA rectangle is a 2D shape that has 4 sides and equal interior angles
If rectangle has a width of 2.45 feet and a length of 6.5 feet, then;
Width = 2.45 feet
Length = 6.5feet
A = 2.45 * 6.5
A = 15.925 square feet
If each side of the rectangle is increased by a factor of 5, hence;
W1 = 5(2.45) = 12.25feet
L1 = 5(6.5) = 32.5 feet
Determine the area of the new rectangle
A = 12.25 * 32.5
A = 398.125 square feet
Ratio of the area
A1/A = 398.125/15.925
A1 = 25A
Hence the area of the new rectangle will be 25 times that of the original
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The average age of 4 children is 15 yrs . if the ages of their parents are added , their average age is 25 .find the age of their father if he is 4 yrs older than is wife
Answers
The age of the father is 57 years old
Calculating mean of a populationTotal age = Average age x Population
Average of the four children = 15
Population = 4
Total age of the four children = 15 x 4
Total age of the four children = 60 years
If the parents are added:
Population = 6
Average age = 25
Total age = 25 x 6
Total age = 150 years
Total age of the parents = 150 - 60
Total age of the parents = 110 years
The father is 4 years older than his wife
Let the age of the father be x
The age of the wife = x - 4
x + x - 4 = 110
2x = 114
x = 114/2
x = 57
Therefore, the age of the father is 57 years old
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What is the square root of pi?
Answers
Pi is a Greek number that plagues mathematics, physics, and circles to the point where pi-fatigue is actually a thing. Pi is an infinite number, however it will henceforth only be written as 3.14159.
I have two solutions to your problem.
The first, and probably less appealing answer, but most used everywhere, would be to use a calculator.
But if you find yourself without a calculator at the ready, I hope you’re prepared to math quite dubiously.
Finding the square power, inverse of a radical, or whatever is multiplied by itself to equal 3.14159, is the second step. We must start someplace to start our attempt, and that place is 3.14159. Since 1 squared equals 1 and 2 squared equals 4, our result, expressed in decimal form, is larger than 1 but less than 2. After that, we just start divising and multiplying the decimals again until we have calculated the square root of pi.
TL;DR
1.7724531 is the approximate square root of pi.
Answer:
1.77245385091
Step-by-step explanation:
If B is the midpoint of AC, and AC = &r - 20 find BC.
Answers
The measure of BC from the figure shown is 26
What is a line?A line is the distance between two points. From the given line AC;
AC = AB + BC
Given the following parameters
AC = 8x - 20
AB = 3x - 1
Required
Length BC
Substitute
8x-20 = 3x-1 + BC
BC = 8x-20 -(3x - 1)
BC = 8x - 20 - 3x + 1
BC = 5x - 19
Since B is the midpoint of AC, then;
AB = BC
3x - 1 = 5x - 19
-2x = -18
x = 9
Determine the length of BC
BC = 5(9) - 19
BC = 45 - 19
BC = 26
Hence the measure of BC from the figure shown is 26
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The probability that a football game will go into overtime is 18%. What is the probability that two of three football games will go to into overtime
Answers
The probability that two of three football games will go to into overtime is 0.08
How to determine the probability that two of three football games will go to into overtime?From the question, we have the following parameters about the probability
Sample size, n = 3
Proportion that goes to overtime, p = 18%
Number that goes into overtime, x = 2
The probability that two of three football games will go to into overtime is calculated using the following binomial probability
P(x) = nCx * p^x * (1 - p)^(n -x)
Substitute the known values in the above equation
P(2) = 3C2 * (18%)^2 * (1 - 18%)^(3 -2)
Express 18% as decimal
P(2) = 3C2 * (0.18)^2 * (1 - 0.18)^(3 -2)
Evaluate the difference
P(2) = 3C2 * (0.18)^2 * (0.82)^1
Evaluate the combination expression
P(2) = 3 * (0.18)^2 * (0.82)^1
Evaluate the exponent
P(2) = 3 * 0.0324 * (0.82)
Evaluate the product
P(2) = 0.079704
Approximate
P(2) = 0.08
Hence, the probability that two of three football games will go to into overtime is 0.08
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To make lemonade, I use a ratio of $7$ parts water to $1$ part lemon juice. If I want to make a gallon of lemonade, and there are four quarts in a gallon, how many quarts of water do I need
Answers
Answer:
3 1/2 quarts
Step-by-step explanation:
The fraction of the lemonade that is water can be determined from the ratio of water to lemon juice. That fraction of a gallon is the quantity of interest.
Water fractionOf the 7+1 = 8 parts that make up the lemonade, 7 of those are water. That is, water is 7/8 of the lemonade.
Water quantityOf the 4 quarts of lemonade, the quantity that is water will be ...
(7/8)(4 quarts) = 7/2 quarts = 3 1/2 quarts . . . of water
Assuming a level of significance of 0.01, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines
Answers
Answer: Yes, there is
Step-by-step explanation:
The more novel a new product or service design is, the more forecasters have to rely on:_______
a) smoothed variation.
b) historical data.
c) seasonality.
d) cyclicality.
e) subjective estimates.
Answers
The more on these factors forecasters must rely, the more innovative a new product or service design is: Subjective Estimates.
Option (e) is correct.
A subjective estimate is a specific type of estimate that is founded on a person's subjective evaluation or in-depth comprehension of the possibility of a specific outcome.
A subjective estimate only takes into account the subject's ideas and prior experiences rather than employing data or exact calculations.
Individual subjective evaluations are highly biased and differ from person to person.
Contrarily, a subjective estimate is incredibly prone to revision, even when only one person's viewpoint is taken into account.
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a. Are the area of a square and the length of its side directly proportional quantities. Explain.
b. Are the perimeter and side length of a square directly proportional quantities. Explain.
**Will mark brainliest for the correct answer with explanation**
**Will report wrong answers**
Answers
A square is a plane shape that has an equal length of sides. The required answers to the questions are;
i. Yes, the area of a square and its length of sides are directly proportional.
ii. Yes, the perimeter and length of the side of a square are directly proportional.
A square is a plane shape that has an equal length of sides, with four internal right angles. The area of a square can be determined as:
Area = length x length
= [tex](length)^{2}[/tex]
This implies that the value of area of a given square depends on the value of its length. So that the area and length of sides of a square are directly proportional.
If the value of its length increases, then the value of its area increases, viz-a-viz. Then the area and length of the sides of a square are directly proportional.
The perimeter of a square is the sum of the length of its individual sides. Thus, the perimeter of a square can be determined by:
perimeter = 4 x length
Thus the value of the length determines the value of its perimeter. If the length of its sides increases, so is that of the perimeter. Therefore, the length and perimeter of a square are directly proportional.
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Six numbers from a list of nine integers are $7$, $8$, $3$, $5$, $9$, and $5$. What is the largest possible value of the median of all nine numbers in this list
Answers
8 is the largest possible value of the median of all nine numbers in this list.
Lets simplify it,
⇒ The given six numbers are 7,8,3,5,9 and 5.
⇒ Arrange the six numbers in order 3,5,5,7,8,9.
⇒ We have three more numbers to insert into the list, and the median will be the highest 5(and 5 lowest) number on the list. If the three numbers are greater than 9, the median will be the highest it can possible be.
∴ The median is the 5th item of data which is 8.
∴ Median=8
Hence 8 is the largest possible value of the median of all nine numbers in this list.
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A single die is rolled twice. The set of 36 equally likely outcomes is {(1, 1), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}. Find the probability of getting two numbers whose sum is greater than 9. Group of answer choices 6
Answers
The probability of getting two numbers whose sum is greater than 9 is [tex]\frac{5}{36}[/tex].
What is probability?Probability is a measure of the possibility that an event will occur in a Random Experiment. Probability is expressed as a number between 0 and 1, where 0 denotes impossibility and 1 denotes certainty. The higher the likelihood of an occurrence, the more probable it will occur.To find the probability of getting two numbers whose sum is greater than 9:
The set of 36 equally likely outcomes is {(1, 1), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}
Set of numbers greater than 9:
{(5, 5), (5, 6), (6, 4), (6, 5), (6, 6)}
Formula:
Favorable event / Total number of events = [tex]\frac{5}{36}[/tex]
Therefore, the probability of getting two numbers whose sum is greater than 9 is [tex]\frac{5}{36}[/tex].
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What percentage of its total accounts receivable does grainger feel are uncollectible at december 31, 2016?
Answers
Using percentage of its total accounts the $50,000 is the amount to be uncollectible. The amount of $50,000 will be reported as an allowance for uncollectible accounts for the Year 2 on December 31 in the balance sheet.
According to the question,
Under the approach of the balance sheet, the ending balance of the allowance for the uncollectible accounts is the percentage (%) of the ending balance of the accounts receivable.
The amount of uncollectible accounts should reflect the aggregate needed ending balance of the allowance which amounts to $50,000.
Hence, using percentage of its total accounts the $50,000 is the amount to be uncollectible.
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write [tex]sec^{2} x=\frac{1}{cos^2x}[/tex] in two equivalent forms.
Answers
write sec²x = 1/cos²x in two equivalent forms
sec²x = 1/cos²x
cos²x/cos²x = 1
sec²x = 1 + tan²x