"A parallel line is a line that always maintains the same distance with another line. If line 1 and line 2 are translated up 6 units and left 2 units, the word that best describes the relationship between the two lines is "parallel.
Parallel lines never intersect, but they are always the same distance from each other. They are represented by a pair of vertical lines. Hence, the correct option is O parallel. Let's consider the given lines: Line 1 has a slope of 6. Thus, its equation can be given as `y = 6x + b`, where b is the y-intercept of line 1.Line 2 has an equal slope of 6. Therefore, its equation can be written as `y = 6x + c`, where c is the y-intercept of line 2.If we translate line 1 up 6 units and left 2 units, the equation of line 1 will become `y = 6(x - 2) + (b + 6)` = `y = 6x + (b + 6 - 12)`.This is the equation of a line that has the same slope as line 1, but its y-intercept is b - 6. So, the slope of line 2 is still equal to 6, but its y-intercept is c - 6 after the translation .Therefore, the slope of line 2 is the same as the slope of line 1, and they have a constant distance between them. As a result, the lines remain parallel.
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draining 15 gallons of water from a fish tank
(Write your answer as an integer)
Answer:
-15
Step-by-step explanation:
if its just asking for what number would represent a loss of 15 it would be negative 15
i dont know if there's more to the problem or not
Answer:
-15
Step-by-step explanation:
This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,
hope this helps!
a defunct website listed the​ average annual income for florida as​ $35,031. what is the role of the term average in​ statistics? should another term be used in place of​ average?
The term "average" in statistics refers to a measure that summarizes the central tendency of a data set. Another term that could be used in place of "average" is "mean. Average plays a crucial role in statistics as it provides a summary measure of central tendency.
The term "average" in statistics refers to a measure that represents the central tendency of a data set. It is commonly used to summarize and describe the typical value or typical level of a particular variable within a population or sample.
The role of the term "average" is to provide a single value that represents the collective information of the data set. It helps in simplifying and summarizing complex data by providing a measure that is representative of the entire distribution. It allows for comparisons, analysis, and inference based on a single value rather than considering each individual data point.
However, it's important to note that depending on the context and the nature of the data, alternative measures of central tendency may be more appropriate than the "average." For example, if the data set contains outliers or is heavily skewed, the median or mode might be better indicators of the typical value.
In summary, the term "average" plays a crucial role in statistics as it provides a summary measure of central tendency. However, it is important to consider the specific characteristics of the data set and potentially use alternative measures when necessary.
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Gasoline is pouring into a vertical cylindrical tank of radius 55 feet. When the depth of the gasoline is 66 feet, the depth is increasing at 0.30.3 ft/sec. How fast is the volume of gasoline changing at that instant
The volume of gasoline in the cylindrical tank is increasing at 23.56 ft.³/sec when the depth of the gasoline in the tank is 6 feet. Computed using differentiation.
Since the tank is cylindrical in shape, its volume can be written as:
V = πr²d,
where V is its volume, r is the radius, and d is the depth.
The radius is constant, given r = 5ft.
Thus the volume can be shown as:
V = π(5)²d,
or, V = 25πd.
Differentiating this with respect to time, we get:
δV/δt = 25πδd/δt ... (i),
where δV/δt, represents the rate of change of volume with respect to time, and δd/δt represents the rate of change of depth with respect to time.
Now, we are given that when the depth increases at 0.3 ft./sec when the depth of the gasoline is 6 feet.
Thus, we can take δd/δt = 0.3 ft./sec, in (i) to get:
δV/δt = 25πδd/δt = 25π(0.3) ft.³/sec = 23.56 ft.³/sec.
Thus, the volume of gasoline in the cylindrical tank is increasing at 23.56 ft.³/sec when the depth of the gasoline in the tank is 6 feet. Computed using differentiation.
The question written correctly is:
"Gasoline is pouring into a vertical cylindrical tank of radius 5 feet. When the depth of the gasoline is 6 feet, the depth is increasing at 0.3 ft./sec. How fast is the volume of gasoline changing at that instant?"
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A playground fills a rectangular lot 62.5ft 100ft what is the area of the playground
The area of the rectangular playground of 62.5ft length and 100ft breadth is 6250 square feet. In this case, the playground covers an area of 6250 square feet, which is a large space for children to play and have fun.
To find the area of the rectangular playground, we need to multiply the length by the width. The length of the playground is given as 100ft and the width is 62.5ft. Therefore, the area of the playground can be calculated as:
Area = Length x Width
Area = 100ft x 62.5ft
Area = 6250 square feet
So, the area of the rectangular playground is 6250 square feet. This means that the entire playground measures 100 feet in length and 62.5 feet in width. The area of a rectangular shape is always given in square units, which means that we are measuring the amount of space inside the shape. .
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Determine whether the triangle is acute, right, or obtuse given the sides: 11, 14, 20
Answer:
317 < 400
The Sum of the squares of the smaller 2 sides (121 + 196 = 317) < longest side squared (400) So, it is an OBTUSE SCALENE TRIANGLE.
Source: http://www.1728.org/triantest.htm
Step-by-step explanation:
___% (blank %) of $40 =$4
Answer:
10%
Step-by-step explanation:
40/4 = 10.
To check:
0.10 x 40 = 4
Please help!!! i need this done by tonight!!
Which of the following is the coordinate of the y-intercept?O (-2,0)(9,0)O (0,2)0 (0,7)None
The y-intercept is determined as the point where the graph crosses the y-axis. At this point x equals 0, and y takes on any other value.
The graph provided shows this point as (0, 2).
That is, when x = 0, y = 2
The answer therefore is the third option (0, 2)
What are some of the cities where jazz first developed during the 1920s and 1930s? Why do you think these particular cities became important sites for jazz? From the timeline, on the left choose one subgenre of jazz and discuss what elements are found in this type of music. Choose one decade from the timeline on the left, and discuss how that particular decade influenced the development of jazz music. What is hard bop? What is jazz fusion? What is jazz like today? After listening to some of the music from different jazz composers, which one do you like the best? Why?
Answer:
1. Chicago, Detroit, Kansas City. Because they’re larger cities where pop culture thrives.
2. Hot Jazz. Hot Jazz is heavily dependant on improvisation. The key element of hot jazz was artists coming up with music on the spot and fast paced as well.
3. The roaring 20s had a huge impact on jazz. The roaring 20s was one of the first major revolutions in pop culture where people were turning away from traditional things and turning to new ideas, music, clothing, etc. This caused jazz to boom because it was a brand new style that was less constricted by society than music created prior to it.
4. A faster paced, more aggressive style of jazz.
5. A style of jazz that included many rock music characteristics.
6. Jazz, although less popular, can be found in lots of pieces today. It is either more modernized in new music, or is still the same as it was.
7. I like hot jazz the best because of the musical improvisation. I find it shows true talent the best in jazz musicians.
*The last questions not mentioned in the original question:
What are some ways that modern technology is used in music today that is different than music from when jazz originated? How do you think emerging technology will affect music in the future? - Music isn’t as real anymore. Most of today’s music in pop culture is produced by a computer rather than played live. Technology will, although continue to revolutionize music in the future, take away the element of true talent of music being played live like older jazz musicians once did.
According to Stefon Harris, what counts as a “mistake” in jazz? - Not incorporating or choosing to neglect other bandmate’s ideas when creating music.
Step-by-step explanation:
You're welcome lovelies get that A for me
PLS HELP ME I DON'T GET IT
Answer:
(a) $14,912 saved
(b) $58,000 aid needed
Step-by-step explanation:
(a)Nola is saving $200 each month. That means she will have saved 60 times that amount after 60 months:
60 × $200 = $12,000
When she adds that to her current savings she will have saved a total of ...
$12,000 +2,912 = $14,912 . . . by the time she starts college
__
(b)The figure is telling you Nola will need $72,912 for 4 years of college. If she funds $14,912 from her own savings, then she will need an additional amount of ...
$72,912 -14,912 = $58,000 . . . . amount of financial aid needed
Four functions are given below. Perform the indicated compositions to determine which functions are inverse to each other. Be sure to simplify the results.
f(x)=16x+19
(x)=16x−19
h(x)=16x−1619
j(x)=16x+304
The functions f(x) and j(x) are inverses of each other by positions that yield the identity function.
To determine the inverse functions, we need to find compositions that yield the identity function, which is denoted as f(g(x)) = g(f(x)) = x. Let's calculate the compositions for each pair of functions:
1. f(g(x)): Substitute g(x) = 16x - 19 into f(x):
f(g(x)) = f(16x - 19) = 16(16x - 19) + 19 = 256x - 304.
Since f(g(x)) does not simplify to x, g(x) = 16x - 19 is not the inverse of f(x).
2. f(h(x)): Substitute h(x) = 16x - 16/19 into f(x):
f(h(x)) = f(16x - 16/19) = 16(16x - 16/19) + 19 = 256x - 256/19 + 19.
Similarly, f(h(x)) does not simplify to x, so h(x) = 16x - 16/19 is not the inverse of f(x).
3. f(j(x)): Substitute j(x) = 16x + 30/4 into f(x):
f(j(x)) = f(16x + 30/4) = 16(16x + 30/4) + 19 = 256x + 120 + 19 = 256x + 139.
Surprisingly, f(j(x)) simplifies to x, indicating that j(x) = 16x + 30/4 is indeed the inverse of f(x).
Therefore, the functions f(x) and j(x) are inverses of each other.
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a catalyst survey found that 85% of respondents listed the biggest advantage of a dual-earner situation as:
A catalyst survey found that 85% of respondents listed the biggest advantage of a dual-earner situation as income.
What is dual - earner?
A cohabiting relationship that has two wage earners is referred to as a dual-earner pair. The term "dual-career relationship" refers to a couple with two incomes where both parties are pursuing careers, i.e., both are dedicated to their jobs and maybe to professional advancement.
Given: A catalyst survey found that 85% of respondents listed the biggest advantage of a dual-earner.
We have to know what type of situation is this.
Couples classified as dual earners do so because both members of the relationship make a living from jobs they hold outside the home.
Therefore, a catalyst survey found that 85% of respondents listed the biggest advantage of a dual-earner situation as income.
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A designer has plotted the path of a display for a fireworks show, comparing
the distance from the launch site (in feet) to the height of the display (in feet).
The vertex of the parabola that represents the path is (37.5, 191.6). What
meaning can she assign to the information?
A. The "stars" in the light display will travel between 37.5 ft and
191.6 ft before returning to the ground.
B. The "stars" in the light display will be 191.6 ft from the launch site
37.5 sec after the launch.
C. The highest point on the path of the display is 191.6 ft, which will
be 37.5 ft from the launch site.
The designer can assign meaning C to the information. The highest point on the path of the display is 191.6 ft, which will be 37.5 ft from the launch site.
The vertex of a parabola represents its maximum or minimum point. In this case, the vertex is (37.5, 191.6), indicating that the maximum height of the display is 191.6 ft and it occurs 37.5 ft from the launch site. This means that the display will reach its highest point at 191.6 ft and then start descending as it moves away from the launch site, forming a parabolic path. Therefore, the correct meaning is that the highest point on the path of the display is 191.6 ft, which will be 37.5 ft from the launch site.
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I need help please ):
And if u don’t know the answers do not comment anything because i'm really looking for help!
Answer:
x=16
Step-by-step explanation:
Help
I can’t figuratively the answer
It will take 50.7 seconds to fill the ball to a radius of 15 centimeters.
How long takes to fill the ball with air?The ball will be filled when its radius is r = 15cm, then the ball will be filled when the volume is equal to:
V = (4/3)*3.14*(15 cm)³
V = 14,130 cm³
We know that the ball has already 5,000 cm³ of air in it, so the amount of air missing is:
14,130 cm³ - 5,000cm³ = 9,130 cm³
And the air is pumped at a rate of 180 cm³ per second, so the ball will be filled after t seconds:
180*t = 9,130
t = 9,130/180 = 50.7
Yes, the ball will be filled in less than a minute.
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The equation h = 10d represents the height h (in millimeters) that a plant grows after d days. How tall is the plant after 5 days?
A) 10 millimeters
B) 5 millimeters
C) 50 millimeters
D) 2 millimeters
Answer:
50 millimeters
Step-by-step explanation:
d alone , is always 1. Just like any other variable. To find the hegiht you need to do days x 10.
After 5 days its mental math.
just do 5 x 10 and do not forget to add millimeters to the end!
What fraction of the caterpillars has a length of at least 50 millimeters?
The fraction of the caterpillars has a length of at least 50 millimeters is 1/4.
In the given figure, the box and whisker plot shows the length of caterpillars at an exhibit.
Here we can see that 50 millimeters is the 75 th percentile or third quartile of the data sets of observations.
So number of caterpillars with length less than 45 mm is 75 % and number of caterpillars with length greater than 45 mm is 25%.
So, the fraction of the caterpillars have a length of at least 50 mm is = 25 % = 25/100 = 1/4.
Hence the fraction of the caterpillars has a length of at least 50 millimeters is 1/4.
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The question is incomplete. The complete question will be -
"The box and whisker plot shows the length of caterpillars at an exhibit. What fraction of the caterpillars have a length f at least 45 millimeters?"
please whats this?
Answer:
5 ³⁄₁₀ or ⁵³⁄₁₀
Step by step explanation:
Answer:
\(5 \frac{3}{10}\)
You start at (7, 10). You move right 2 units and down 4 units. Where do you end?
Savannah buys apples and bananas.
Apples cost $1.20 each and bananas cost
$1.10. She buys 8 fruits total. How many
apples and how many bananas did she
buy if she spent $9.30.
Answer:
5 apples and 3 bananas
Step-by-step explanation:
It was a lengthy process finding the answer.
Hope this helps :)
Answer:
Bananas = 3
Apples = 5
Step-by-step explanation:
1.20 X 5 = 6.00
1.10 X 3 = 3.30
6.00 + 3.30 = 9. 30
Brainliest plzzz!!!!
Consider the line x + 7y=6.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer: parallel: slope is -1/7
Perpendicular: slope is 7
Step-by-step explanation:
====================================
Explanation:
Solve the given equation for y
x+7y = 6
7y = 6-x
7y = -x+6
y = (-x+6)/7
y = (-x/7) + (6/7)
y = (-1/7)x + 6/7
The last equation is in the form y = mx+b with m = -1/7 as the slope.
The slope of the original equation is -1/7. Any parallel line will have the same slope (but different y intercept).
-------------------------
Now to find the perpendicular slope.
Flip the fraction to go from -1/7 to -7/1 = -7
Then flip the sign to go from -7 to +7 or just 7.
The perpendicular slope is 7.
The original slope (-1/7) and the perpendicular slope (7) multiply to -1.
What is the measure of arc c e d? 106° 108° 148° 212°.
Answer:
Can you please give us figure of following ?
Answer:
its the last one 212°
212°
212°
212°
212°
212°
Step-by-step explanation:
212°
What is the best approximation of the solution to the equations that these two lines represent?
A( 1,1 )
B( 0,1 )
C( 1,1.5 )
D( 1.5,1 )
Answer: the answer is (1, 1.5)
Step-by-step explanation:
once the component fails, it is immediately replaced byanother one of the same type. if we let denote the life-time of the th component to be put in use, then represents the time of the th failure. the long-term rate at which failures occur, call it , is defined by
The long term rate is defined by r = 3/2.
Probability deals with the likelihood of an event or phenomena occurring and is quantified as a number between 0 and 1 inclusive, where 0 indicates an impossible chance of occurrence and 1 denotes the certain outcome of an event. Joint probability refers to a statistical measure that determines the probability of two events occurring together and at the same point in time. Joint probability is the probability of event Y occurring at the same time that event X occurs. Hence, joint probability is a measure of two events happening at the same time and can only be applied to situations where more than one observation can occur at the same time.
A random variable with probability density function is f(x) = 2x, 0 <x<1.
Let Xi denote the life-time of the ith component , then Sn = ∑Xi represents the time of the nth failure. The long-term rate failures occur, is defined by
\(r = \lim_{n \to \infty} \frac{n}{S_n}\)
Let Xi denote the ith component and understand that X1, X2,.., is a sequence of independent and similarly distributed random variables, with finite mean.
\(Mean = E[Xi] = \int\limits^0_1 {xf(x)} \, dx = \int\limits^0_1 {2x^{2} } \, dx = \frac{2}{3}\)
So,
\(r = \lim_{n \to \infty} \frac{n}{S_n} = \frac{1}{Mean} = \frac{3}{2}\)
Thus, the long term rate is defined by r = 3/2.
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The long term rate is defined by r = 3/2.
Probability deals with the likelihood of an event or phenomena occurring and is quantified as a number between 0 and 1 inclusive, where 0 indicates an impossible chance of occurrence and 1 denotes the certain outcome of an event. Joint probability refers to a statistical measure that determines the probability of two events occurring together and at the same point in time. Joint probability is the probability of event Y occurring at the same time that event X occurs. Hence, joint probability is a measure of two events happening at the same time and can only be applied to situations where more than one observation can occur at the same time.
A random variable with probability density function is f(x) = 2x, 0 <x<1.
Let Xi denote the life-time of the ith component , then Sn = ∑Xi represents the time of the nth failure. The long-term rate failures occur, is defined by
\(r = \lim_{n \to \infty} \frac{n}{S_n}\)
Let Xi denote the ith component and understand that X1, X2,.., is a sequence of independent and similarly distributed random variables, with finite mean.
\(Mean = E[X_i] = \int\limits^0_1 {x} f(x) \, dx =\int\limits^0_1 {2x^2} \, dx =\frac{2}{3}\)
So,
\(r = \lim_{n \to \infty} \frac{a_n }{S_n} = \frac{1}{mean} = \frac{3}{2}\)
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What is the solution to this inequality?
42.06 = 21.33 + 3x
Answer:
x = 6.91 hope this helps pls lmk
Becker and Kayla are members of the school chess team. They recorded the number of games they each play for 10 days. The data is shows. Bases on the data, which estimate represents the mean of number of games chess team members play per day?
A.) 1
B.) 3
C.) 4
D.) 10
Qué significa a^2 en matemáticas es la mi trabajo
In mathematics, "\(a^2\)" denotes the square of a number or variable "a." It is calculated by multiplying "a" by itself.
How to illustrate with an example4For example, if "a" is 5, then a^2 would be 5*5, which equals 25. When "a" represents a positive number, its square is always positive.
If "a" is negative, its square is still positive since a negative multiplied by a negative results in a positive.
In geometrical terms, if "a" represents the length of the side of a square, then a^2 represents the area of that square. This notation is part of the general concept of exponentiation.
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The Question in English
What does a^2 mean in mathematics
What is the slope of the line which contains the ordered pairs (2, 1) and (-3, 5)?
a. -5/4
b. -4
c. -1/4
d. -4/5
Answer:
d. -4/5
Step-by-step explanation:
When using the equation m = y2 - y1 / x2 - x1, we get m = 5-1 / -3-2.
Simplified: m = 4/-5.
The negative can be placed on the numerator or denominator, it doesn't make a difference.
let a be the technology matrix a = 0.4 0.04 0.6 0.02 , where sector 1 is paper and sector 2 is wood. fill in the missing quantities.where Sector 1 is paper and Sector 2 is wood. Fill in the missing quantities.(a) units of wood are needed to produce one unit of paper.(b) units of paper are used in the production of one unit of paper.(c) The production of each unit of wood requires the use of units of paper.
The missing quantities are 0.04 units of wood, 0.4 units of paper, and 0.6 units of paper.
To fill in the missing quantities, we can use the technology matrix A and the formula A = [a11 a12; a21 a22], where a11 is the amount of sector 1 used in the production of one unit of sector 1, a12 is the amount of sector 2 used in the production of one unit of sector 1, a21 is the amount of sector 1 used in the production of one unit of sector 2, and a22 is the amount of sector 2 used in the production of one unit of sector 2.
Using this formula, we can fill in the missing quantities as follows:
(a) The amount of wood (sector 2) needed to produce one unit of paper (sector 1) is a12, which is 0.04 units of wood.
(b) The amount of paper (sector 1) used in the production of one unit of paper (sector 1) is a11, which is 0.4 units of paper.
(c) The production of each unit of wood (sector 2) requires the use of a21 units of paper (sector 1), which is 0.6 units of paper.
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At the table below, which equation could be used to show the relationship between x and y?
Answer:
You can find the anwer by count every 1/2
Step-by-step explanation:
1 =1/4
2=1/2
3=3/4
4=1
5=5/4
just count the right way to get the answer