Answers
The table that represents a linear relationship is the one in option 3.
Which table represents a linear relationship?A linear relationship can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we add 1 to the input we get:
y = a*(x + 1) + b
y = (a*x + b) + a
So for each increase of 1 unit on the input we have a constant increase on the value of y.
The table that represents a line is the number 3, where you can see that the increases in the f(x) values are constants.
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Related Questions
Find the size of angle x using parallel line facts. Give answer in degrees (°).
Answers
Answer:
Hi There! Here's your answer.
There are 5,280 feet in a mile. Round answers to the nearest unit. a. How many miles does a car traveling at 42 mi/h go in one hour
Answers
The answers for questions G, H, K, and L are the same as questions C, D, K, and L, respectively, because the speed (65mi/h) remains constant.
A. 65 miles in one hour: If a car is traveling at 65 miles per hour (mi/h), then in one hour it will travel 65 miles.
B. 340,800 feet in one hour, 65 miles is equal to 5,280 x 65 = 340,800 feet.
C. 5,680 feet in one minute, 340,800 feet ÷ 60 = 5,680 feet in one minute.
D. 94.67 feet in one second, 5,680 feet ÷ 60 = 94.67 feet in one second.
E. 42 miles in one hour: If a car is traveling at 42 miles per hour, then in one hour it will travel 42 miles.
F. 221,760 feet in one hour, 42 miles is equal to 5,280 x 42 = 221,760 feet.
G. 5,680 feet in one minute.
H. 94.67 feet in one second.
I. x miles in one hour.
J. 5,280 x x feet in one hour:
K. (5,280 x x) ÷ 60 feet in one minute.
L. ((5,280 x x) ÷ 60) ÷ 60 feet in one second.
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There are 5,280 feet in a mile. Round answers to the nearest unit.
A. How many miles does a car traveling at 65mi/h go in one hour?
B. How many feet does a car traveling at 65mi/h go in one hour?
C. How many feet does a car traveling at 65mi/h go in one minute?
D. How many feet does a car traveling at 65mi/h go in one second?
E. How many miles does a car traveling at 42mi/h go in one hour?
F. How many feet does a car traveling at 42mi/h go in one hour?
G. How many feet does a car traveling at 65mi/h go in one minute?
H. How many feet does a car traveling at 65mi/h go in one second?
i. How many miles does a car traveling at x mi/h go in one hour?
J. How many feet does a car traveling at x mi/h go in one hour?
K. How many feet does a car traveling at x mi/h go in one minute?
L. How many feet does a car traveling at x mi/h go in one second?
how many ways are there to arrange these seven leaders in a row? also, how many ways are there to arrange these seven leaders in a row, so that the leader of japan and the leader of canada stand next to each other? here and throughout show/explain your work.
Answers
There are 5040 ways to arrange these seven leaders in a row. There are 1440 ways to arrange these seven leaders in a row, so that the leader of japan and the leader of canada stand next to each other.
Using the multiplication principle, we multiply all the possible arrangements to determine the total number of configurations if we have seven individuals and want to know how many ways there are to place them in a row of seven seats. For instance, the first seat has seven alternatives, the second has six (as one has been taken), the third has five, the fourth has four, and so on.
So, these seven leaders in a row, so that the leader of japan and the leader of canada stand next to each other.
6! * 2! = 720 * 2 = 1440 .
To arrange these seven leaders in a row we just have to find,
7! = 7x6x5x4x3x2x1
= 5040
These two configurations are both permutations. Therefore, in the case, there are only two potential permutations.
It becomes more difficult if there are seven of us. The multiplication concept must be applied.
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I need some help please
Answers
Answer:
( 11 )y + ( 1 )z
Step-by-step explanation:
8y + 3y
5z - 4z
To indirectly measure the distance across a lake, Dominic makes use of a couple landmarks at points � B and � C. He measures � � AD, � � DB, and � � DE as marked. Find the distance across the lake ( � � ) (BC), rounding your answer to the nearest hundredth of a meter.
Answers
The distance across the lake is 190m. Rounding to the nearest hundredth of a meter, the answer is 190.00m.
We can use similar triangles to find the distance across the lake (DE). Since triangle CGF is similar to triangle CED, we can use ratios of the sides to find DE.
Let's call DE = x. Then, we have:
CE/FG = x/142.1
Solving for x, we have:
x = (CE * 142.1) / FG
CE = CF + FD = 130 + 60 = 190m
x = (190 * 142.1) / 142.1 = 190m
The distance across the lake is 190m. Rounding to the nearest hundredth of a meter, the answer is 190.00m.
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The complete question is :
To indirectly measure the distance across a lake, Dominic makes use of a couple landmarks at points D and E. She measures CF, FD, and FG as marked. Find the distance across the lake (DE), rounding your answer to the nearest hundredth of a meter.
What is the slope of the line that passes through (0,2) and (6,6)
Answers
Answer:
Step-by-step explanation:
The slope of the line passing through the points (0,2) and (6,6) can be found using the slope formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) = (0, 2) and (x2, y2) = (6, 6)
slope = (6 - 2) / (6 - 0)
slope = 4 / 6
slope = 2/3
Therefore, the slope of the line is 2/3.
[tex]x^{2} -4x=1 find x^{2} +1/x^{2}[/tex]
Answers
The value of the expression x²+1/x² is 18
What is an Algebraic Expression?An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms.
Given here: x²-4x=1
simplifying we get
x²-4x=1
Dividing both sides by x we get
x²/x-4x/x=1/x
x-4=1/x
x-1/x=4
Now squaring both sides we get
(x-1/x)²=4²
x²-2×x×1/x+1/x² =16
x²+1/x²=16+2
x²+1/x²=18
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A party planner organized a dinner party. The party planner recorded the height of the candlesticks over time and graphed the relationship.
graph with the x axis labeled time in hours and the y axis labeled height of candlestick in inches and a line going from the point 0 comma 8 through the point 3 comma 6
Find and interpret the slope and y-intercept in this real-world situation.
The slope is 8, and the y-intercept is negative two thirds. The candle starts at a height of two thirds of an inch and decreases 8 inches every hour.
The slope is 8, and the y-intercept is negative three halves. The candle starts at a height of three halves of an inch and decreases 8 inches every hour.
The slope is negative two thirds, and the y-intercept is 8. The candle starts at a height of 8 inches and decreases two thirds of an inch every hour.
The slope is negative three halves, and the y-intercept is 8. The candle starts at a height of 8 inches and decreases three halves of an inch every hour.
Answers
The slope is negative two thirds, and the y-intercept is 8. The candle starts at a height of 8 inches and decreases two thirds of an inch every hour. The solution has been obtained by using the concept of slope.
What is a slope?
In mathematics, a line's slope is the ratio of the change in the y coordinate to the change in the x coordinate.
We are given that the graph of the line passes through (0,8) and (3,6) .
So,
Slope of the line = (6 - 8) ÷ (3 - 0) = -2/3
From this, we get the equation of line as
y - 6 = -2/3 (x - 3)
Now, for y-intercept, we need to put x = 0
So, we get
⇒y - 6 = -2/3 (-3)
⇒y - 6 = 2
⇒y = 8
Hence, the slope is negative two thirds, and the y-intercept is 8.
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Box 1 contains 2 red balls and 1 blue ball. Box 2 contains 3 blue balls and 1 red ball. A coin is tossed. If it falls heads up, box 1 is selected and a ball is drawn. If it falls tails up, box 2 is selected and a ball is drawn. Find the probability of selecting a red ball.
Answers
Answer:
90°/• is the probability
please help with this maths question
Answers
Answer:
Step-by-step explanation:
the adult membership fee is 120, so for 2 adults we times by 2 to get 240
As stated the junior membership fee is 1/5 of the adults, and 1/5 of 120 is 24 (you can use a calculator to help you if needed)
There are 3 juniors so we do 24x3 = 72
And we add this fee to the adults:
72+240 = 312
Hope this helps!!
PLS HELP ME! FIND THE DIFFERENCE BETWEEN WHAT IS PAINTED AND WHAT REMAINS TO BE PAINTED
Answers
Answer:
51 3/4 %
Step-by-step explanation:
Write an expression for the sequence of operations described below.
raise 4 to the 2nd power, then find the quotient of the result and q
Do not simplify any part of the expression.
Answers
Both BODMAS and PEMDAS are valid and in use in various parts of the globe. In the UK, BODMAS is frequently utilized, whereas in the US, PEMDAS is. Brackets, Order, Division, Multiplication, Addition, and Subtraction are all referred to as BODMAS.
Which mathematical procedure comes first?The acronym PEMDAS, which stands for parenthesis, exponents, multiplication and division from left to right, as well as addition and subtraction from left to right, can be used to recall the order of operations. Start by using parenthesis first.
For the list of operations, we wish to create an expression.
9 to the second power raised then, determine the ratio between the outcome and z
First, raise 9 to the second power.
9 divided by two equals
Find the product of the result and z in step two.
Today, quotient refers to "division."
The outcome of step 1 is =[tex]9^2[/tex]
Therefore:
Indicator of and z
As a result, the statement that describes the specified order of operations is [tex]\frac{9^2}{z}[/tex]
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Each month, a shopkeeper spends 7x+19 dollars on rent and electricity. If she spends 2x−7 dollars on rent, how much does she spend on electricity? Use pencil and paper. For which value(s) of x is the amount the shopkeeper spends on electricity less than $100? Explain how you found the value(s).
Answers
Answer:
Step-by-step explanation:
7x + 19 = cost rent and electricity
2x - 7 = cost of rent only
cost of electricity only = (7x + 19) - (2x - 7) = 5x + 26
5x + 26 < 100
5x < 74
x < 74/5
x < $14.80
(A) A small mass of 0.60 kg is rotated at the end of a string in a horizontal circle of radius 1.20 m. The string will break if the tension exceeds 60 N. What is the GREATEST frequency of revolution that is possible? (B) the same mass of 0.60 kg is now rotated at the end of another string at a constant speed, v, in a vertical circle of radius 1.20 m. the minimum tension in the string is 2.1N (I) state and explain where the tension in the string is maximum and minimum (ii) find the speed of the mass
Answers
Answer:
450
Step-by-step explanation:
the speed of mass is 450
if a student is chosen randomly, what is the probability that he or she is taking exactly one language class?
Answers
The probability of a student being chosen at random and taking exactly one language class is 65%.
Probability is the likelihood or chance of an event happening. In this case, the event is a student taking exactly one language class.
First, we need to find the total number of students taking at least one language class. We have 28 students in the Spanish class, 26 students in the French class, and 16 in the German class. However, some students are taking multiple classes, so we need to subtract these students from the total. The 12 students taking both Spanish and French, 4 taking both Spanish and German, and 6 taking both French and German should only be counted once. In addition, the 2 students taking all three classes should also only be counted once.
So, the total number of students taking at least one language class is
=> 28 + 26 + 16 - 12 - 4 - 6 + 2 = 40 students.
To find the number of students taking Spanish only, we need to subtract the number of students taking both Spanish and French (12) and the number of students taking both Spanish and German (4) from the number of students taking Spanish (28).
So, the number of students taking Spanish only is
=> 28 - 12 - 4 = 12 students.
Similarly, the number of students taking French only is
=> 26 - 12 - 6 = 8 students
and the number of students taking German only is
=> 16 - 4 - 6 = 6 students.
Finally, to find the probability of a student being chosen at random and taking exactly one language class, we divide the number of students taking exactly one language class by the total number of students taking at least one language class.
So, the probability of a student taking exactly one language class is
=> (12 + 8 + 6) / 40 = 26 / 40 = 0.65 or 65%.
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Complete Question:
An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. The classes are open to any of the 100 students in the school. There are 28 students in the Spanish class, 26 students in the French class,, and 16 in the German class. There are 12 students that are in both Spanish and French, 4 that are in both Spanish and German, and 6 that are in both French and German. In addition, there are 2 students taking all 3 classes.
If a student is chosen randomly, what is the probability that he or she is taking exactly one language class?
If 3 yellow, 4 red and 6 blue flowers are to be planted in a line, how many different arrangements are possible?
Answers
Using permutations and combinations, we know that a total of 60,060 different arrangements of flowers can be made in a row.
What are permutations and combinations?The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations.
When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination.
Examples of permutations include arranging persons, digits, numbers, alphabets, letters, and colors.
Examples of combinations include choosing the menu, the cuisine, the clothes, the subjects, and the team.
So, we have:
3 yellow, 4 red, and 6 blue flowers.
3 + 4 + 6 = 13
Now, the number of arrangements in the row will be:
= 13!/3!4!6!
= 6,22,70,20,800/6*24*720
= 6,22,70,20,800/1,03,680
= 60,060
Therefore, using permutations and combinations, we know that total of 60,060 different arrangements of flowers can be made in the row.
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write a formula for a linear function f(x) that models the situation, where x is the number of years after 2007. in 2007 the average adult ate 52 pounds of chicken. this amount will increase by 0.8 pounds per year until 2012.
Answers
Step-by-step explanation:
x = number of years after 2007.
x = 0 for 2007.
PC(x) is a function that calculates how many pounds of chicken the average adult will eat every year (x) after 2007 (up to 2012).
PC(x) = 0.8x + 52
0 <= x <= 5
in 2007 (x = 0) the average adult ate 52 pounds.
in every year after 2007 until 2012 0.8 pounds get added to the amount of the previous year.
so, in 2012 (x = 5) the average adult will eat
PC(5) = 0.8×5 + 52 = 4 + 52 = 56 pounds of chicken.
What is the slope of a line that passes through the points (0, 5) and (8, -2)
Answers
Answer:
-7/8
Step-by-step explanation:
slope = Δy/Δx = (-2 - 5) / (8 - 0) = -7/8
A rectangle has an area of 24 square inches. The rectangle is reduced by a scale factor of 1/2. What is the area of the new triangle?
Answers
Answer:
12
Step-by-step explanation:
i hope this is right I suggest you double check
a survey asked people if they were aware that maintaining a healthy weight could reduce the risk of stroke. a 95% confidence interval was found using the survey results to be (0.54, 0.62). what is the correct interpretation of this interval?
Answers
Keeping a healthy weight will lower your risk of stroke, according to the 95% confidence interval of (0.54, 0.62), which suggests that if the survey were conducted repeatedly, 95% of the intervals produced would represent the real population percentage of individual, who are aware of this.
In other words, there is a 95% confidence interval between 0.54 and 0.62 for the genuine population fraction of those who are aware of this knowledge.
It should not be assumed from this range that 95% of respondents indicated that they were aware of this knowledge.
Instead, it offers a range of numbers that, with a given level of certainty, are likely to include thee genuine population percentage.
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Solve the equation round the result to the nearest hundredth 3x-4=3
Answers
Answer:
x = 2.33
Step-by-step explanation:
3x - 4 = 3
3x = 7
x = 7/3
x = 2.33
+ 4 to each side
3x = 7
divide each side by 3
7 / 3 = 2.3333…. ≈ 2.33
x = 2.33
In a crate, containing only red and green
apples, the ratio of green to red apples
is 2:1
An apple is picked at random and
removed from the crate.
A second apple is then picked at
random.
The probability of picking two green
apples is y.
Find the error interval for y.
Answers
The required error interval for y(probability of picking two green
apples) is [1/4, 1/4].
How to find the error interval?The probability of picking two green apples can be calculated by multiplying the probability of picking a green apple on the first pick by the probability of picking another green apple on the second pick, given that the first pick was a green apple.
According to data:Let's call the number of green apples in the crate G, and the number of red apples in the crate R. Based on the given information, the ratio of green to red apples is 2:1, so we have G = 2R.
The probability of picking a green apple on the first pick is G/(G + R), and the probability of picking a green apple on the second pick, given that the first pick was a green apple, is (G-1)/(G + R - 1).
Therefore, the probability of picking two green apples is:
y = (G/(G + R)) * ((G-1)/(G + R - 1)) = (G/(G + R))²
Since we know that G = 2R, we can substitute that into the equation for y to get:
y = (2R/(2R + R))² = (2/(3R + R))² = (2/4R)² = 4/16 = 1/4
So the error interval for y is [1/4, 1/4].
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Find the value of cos
�
H rounded to the nearest hundredth, if necessary.
Answers
Answer:
[tex]\mbox{\large \boxed{ 0.98}}[/tex]
Step-by-step explanation:
Cos H = ratio of the base to the length of the hypotenuse
In this triangle, the base = 40, hypotenuse = 41
cos H = 40/41 = 0.9756
To the nearest hundredth this would be 0.98
a random variable x is exponentially distributed with a mean of 25. what is the probability that x is between 25 and 30?
Answers
The probability that x is between 25 and 30 is 0.087.
The cumulative distribution function (CDF) of an exponential distribution with mean 25 is given by:
F(x) = 1 - exp(-x/25)
The probability that x is between 25 and 30 can be found by evaluating the CDF at x = 30 and x = 25 and subtracting the two values:
P(25 < x < 30) = F(30) - F(25) = (1 - exp(-30/25)) - (1 - exp(-25/25))
= (1 - exp(-1.2)) - (1 - exp(-1))
= 0.255 - 0.368
= 0.087
So, the probability that x is between 25 and 30 is 0.087.
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in the circles so that the sums across (horizontally) and down (vertically) are equal. which number will you place in the middle?
Answers
The number 5 will be placed in the middle.
In order to make the sums across and down equal, we have to arrange the numbers in such a way that they balance each other out. We know that the middle number will be the average of the four numbers surrounding it.
So, if we place 2 and 8 on either side of the middle number, the sum of these two numbers is 10. To make the sum equal, we need two more numbers that add up to 10. The only two numbers that fit the criteria are 4 and 6.
Hence, the middle number will be the average of 4 and 6, which is 5. So, the answer is 5.
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--The given question is incomplete; the complete question is
"Place the numbers 2, 4, 5, 6, and 8 in the circles so that the sums across (horizontally) and down (vertically) are equal. Which number will you place in the middle?"--
800 people attended a football game. If 20% of the people who attended were teenagers, how many teenagers attended the game? Insert the values given in the problem then scale up or down to find the missing value. attendees percent 100 attempt 3 out of 3 Emilia Salkic Proportional Reasoning, Percents (Level 2) Feb 03, 2:20:32 PM 800 people attended a football game. If 20% of the people who attended were teenagers, how many teenagers attended the game?
Answers
Using percentages we can conclude that out of 800 people, 20% of the people who attended the football match were teenagers, 160.
What are percentages?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics.
If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.
The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means.
A % is a number that indicates how many out of 100 it is, and it can also be expressed as a decimal or a fraction.
Put the percentage value in the numerator and 100 in the denominator to convert a percentage to a fraction.
So, we know that:
800 people attended the football game.
20% were teenagers.
Then, the number of teenagers was:
= 800/100*20
= 8*20
= 160
Therefore, using percentages we can conclude that out of 800 people 20% of the people who attended the football, match were teenagers, and 160 were.
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a simple random sample is a sample of n observations that has the same probability of being selected from the population as any other sample of n observations. True/False ?
Answers
True, a simple random sample is a sample of n observations that has the same probability of being selected from the population as any other sample of n observations.
What does standard deviation mean ?
The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean.
Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.
What does a simple random sample mean?
A subset of participants is randomly chosen from a population by the researcher using simple random sampling, a sort of probability sampling.
The probability of being chosen is the same for every person in the population. Then, data are gathered from as much of this randomly selected subgroup as possible.
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You flip a coin.
What is P(tails or heads)?
Write your answer as a percentage
Answers
Answer: 50%
Step-by-step explanation: There is an equal chance of both events occurring so there is a half chance for it to occur or no.
use point-slope to write the equation of a line that passes through the point (1,-5) with slope -1
Answers
Point slope form is y - y1 = m ( x - x1 ), where m represents the slope, y1 represents the y value of the point, and x1 represents the x value of the point.
filling in the variables with the given information gives you
y - (-5) = -1 ( x - 1 ) which is also y + 5 = -1 ( x - 1)
THREE QUESTIONS 21POINTS HELP!!!
8. Six boys have heights of 1.53 m, 1.49 m, 1-60 m, 1.65 m, 1.90 m and 1.43 m. (a) Find the mean height of the six boys. (b) Find the mean height of the remaining five boys when the shortest boy leaves.
9. In a maths test the marks for the boys were 9, 7, 8, 7, 5 and the marks for the girls were 6, 3, 9, 8, 2, 2. (a) Find the mean mark for the boys. (b) Find the mean mark for the girls. (c) Find the mean mark for the whole class.
10. Five different drinks have an average (mean) price of £1.50. When a sixth drink is added the new average price is £1.60. How much did the sixth drink cost?
Answers
I'll do problem 8 to get you started.
Part (a)
To find the mean, we first add up the values
1.53+1.49+1.60+1.65+1.90+1.43 = 9.6
Then divide over 6 since this is the number of values in the set.
9.6/6 = 1.6
Answer: 1.6 meters==================================================
Part (b)
The shortest boy is 1.43 meters tall. If he leaves the group, then we have these heights leftover
1.53, 1.49, 1.60, 1.65, 1.90
Adding them up gets us
1.53+1.49+1.60+1.65+1.90 = 8.17
Then divide by 5
8.17/5 = 1.634
Answer: 1.634 meters