Robert swims a lap in the pool. His coach graphs his distance from the starting block.
A. Determine whether each graph is a function. Justify your answer.
B. Construct Arguments - Which graph must be incorrect. Explain
Answers
A) Both the graphs A and B are functions, here the vertical lines can intersect the curve A and B more than once. So, A and B graphs are functions.
B) The incorrect graph is A
What is meant by a function?A function from a set X to a set Y in mathematics assigns to each element of X exactly one element of Y. The domain of the function is the set X, and the codomain of the function is the set Y.
A) Examine the graph to determine whether any vertical lines generated meet the curve more than once. If such a line exists, the graph does not reflect a function. The graph represents a function if no vertical line intersects the curve more than once.
A and B are functions, according to this.
B) A is the incorrect graph.
Because Robert's acceleration will change
Curved lines have varying slopes; they can begin with a very modest slope and then curve quickly (either upwards or downwards) towards a huge slope. In either case, the curving line with a changing slope indicates fast motion (i.e., changing velocity).
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Related Questions
6. A solution containing 80% chicken broth is to be mixed with water to
make 200L containing 60% chicken broth. How much of each should be
mixed?
Answers
x = amount of the 80% broth
y = amount of water with 0% broth
keeping in mind that water has no broth in it, so 0% of broth, let's plug in those percentages in decimal format to see how much each one has.
what's 80% of "x"? well (8/100) * x = 0.80x.
what's 0% of "y"? well hell is just 0.
what's 60% of 200? well anyhow is just 120.
[tex]\begin{array}{lcccl} &\stackrel{liters}{quantity}&\stackrel{\textit{\% of liters that is}}{\textit{broth only}}&\stackrel{\textit{liters of}}{\textit{broth only}}\\ \cline{2-4}&\\ \textit{80\% Sol'n}&x&0.80&0.80x\\ water&y&0.00&0\\ \cline{2-4}&\\ mixture&200&0.60&120 \end{array}~\hfill \begin{cases} x + y = 200\\\\ 0.80x+0=120 \end{cases} \\\\[-0.35em] ~\dotfill\\\\[/tex]
[tex]\stackrel{\textit{using the 2nd equation}}{0.8x=120}\implies x=\cfrac{120}{0.8}\implies \boxed{x=150~liters} \\\\\\ \stackrel{\textit{using the 1st equation}}{150 + y = 200}\implies y=200-150\implies \boxed{y=50~liters}[/tex]
every week, greg spends at least three times the number of hours traveling to work as he does being at work. if greg is at work for 10 hours a week, how much time does he spend traveling to work each week? question 12 options: a) at least 30 hours b) at least 16 hours c) at least 22 hours d) at least 25 hours
Answers
If Greg is at work for 10 hours a week, he spends 30 hours traveling to work.
Explanation
No of hours he works in a week = 10
No of hours he spends on travelling = 3 * no of hours he works in a week
=10 x 3 =
30 hours
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious.
The repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
In addition to addition, subtraction, and division, multiplication is a mathematical operation. The four fundamental arithmetic operations are taught to students in their primary classes.
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3. based on the results of this t-test, report the p value. explain what this means in context of a type 1 error.
Answers
based on the results of this t-test, report the p value. explain this means in context of a type 1 error is you can reject the null hypothesis, but this does not necessarily mean that your alternative hypothesis is true.
What does p-value tell you about error?
The p-value only tells you how likely the data you have observed is to have occurred under the null hypothesis. If the p-value is below your threshold of significance (typically p < 0.05), then you can reject the null hypothesis, but this does not necessarily mean that your alternative hypothesis is true.
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you order 3 strings of white led lights and 2 strings of colored led lightgs for 66$ In a second order you buy one string of each type for 27$ A. WHICH TYPE OF LED IS MORE EXPENSIVE
Answers
The colored type of led is more expensive if you order 3 strings of white led lights and 2 strings of colored led lights for 66$.
What is meant by an equation?An equation in French is defined as having one or more variables, whereas an equation in English is any well-formed formula consisting of two expressions combined with an equals sign.
Solving a variable equation includes determining which variables' values result in equality. Unknowns are the variables for which the equation must be solved, while equation solutions are the unknown values that satisfy the equality. An equation is a mathematical phrase with two equal sides separated by an equal sign. An equation is 4 + 6 = 10. We can see 4 + 6 on the left side of the equal sign and 10 on the right.
First type of white led have 3 strings=3x
Second type of colored led have 2 strings and bought only one string=2y
The total cost =3x+2y=66 ----------->(1)
In the second order ,
Each string brought only one=x+y=27 ------->(2)
Solving equations 1 and 2
From eq2, y=27-x
3x+2(27-x)=66
3x+54-2x=66
X=12
Y=27-x=27-12=15
Therefore, the type of colored led are expensive
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-2(y - 3) = y + 24
please help
Answers
-2(y-3) = y+24
Simplify first
-2y-6 = y+24
Subtract 6 from both sides
-2y = y+30
Subtract y from both sides
-3y = 30
Divide by -3
Y = 10
Answer:
y=-6
Step-by-step explanation:
1. -2y+6=y+24
2. -2y-y=24-6
3.-3y=18
4. y=-6
if the speed limt was 80 kilometers per hour, and elenas mom was driving 75 miles er hourm was sh speeding? by how much?
Answers
Answer: 40.7 kph is how much she was speeding
Step-by-step explanation:
0.4(20-10m) = 2.5 -2m -12.5
Answers
Answer: M=9
Step-by-step explanation:
let s be a set of n segments in the plane. a line ? that intersects all segments of s is called a transversal or stabber for s.
Answers
Suppose 's' be a collection of 'n' plane segments. It is true to say that a transversal as well as stabber for 's' is a line that crosses every segment of 's'.
Explain the term transversal?A transversal in geometry is a line, ray, as well as line segment that, on a plane, overlaps other lines, rays, including line segments at various locations.
A transversal is a line that, at two different locations in the geometry, cuts through two lines within the same plane. Various sorts of angles in pairs, including successive internal angles, corresponding angles, and alternate angles, are produced by a transversal intersection between two lines.Thus, if 's' be a collection of n plane segments. It is true to say that a transversal as well as stabber for 's' is a line that crosses every segment of s.
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Which of these relations is a function?
Answers
Answer:
The top right
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Because for every x there is a only an y
Can you help me with these questions please. look at the image.
Answers
Using Pythagoras's theorem, the relationships of the sides of the right triangle is x² - 21x + 108 = 0.
The value of x in the right triangle is x = 9 or x = 12.
How to find the sides of a right angle triangle?The right angle triangle is a triangle with one of its angles as 90 degrees. The sides of a right angle triangle can be found using Pythagoras's theorem.
Hence,
c² = a² + b²
where
c = hypotenusea and b are the other legs.Therefore, the equation to show the relationships between the three sides can be gotten by applying Pythagoras's theorem.
x² + (21 - x)² = 15²
x² + (21 - x)(21 - x) = 225
x² + 441 - 21x - 21x + x² = 225
2x² - 42x + 441 - 225 = 0
2x² - 42x + 216 = 0
divide through by 2
x² - 21x + 108 = 0
Let's find the value of x by factoring.
x² - 21x + 108 = 0
x² - 12x - 9x + 108 = 0
x(x - 12) - 9(x - 12) = 0
(x - 9)(x - 12) = 0
Therefore,
x = 9 or x = 12
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Which one blue, light blue , yellow or red
Answers
Step-by-step explanation:
light blue.
our function needs to calculate r out of h.
P does not recognize h (hours after midnight) as parameter. P needs c as input.
T needs h as input and delivers c as output.
therefore (P ○ T)(h) = r is correct.
first the "inner" T function is calculated with h as parameter and then P is calculated using the result from T (c) as input and delivers r.
Hypatia has read 13 chapters of a 22-chapter book.
What percent of the chapters has she read?
Answers
Answer:
Step-by-step explanation:
13+22=35%
what is the median of the following numbers? 8, 10, 10, 10, 6, 7, 88,10,10,10,6,7,88, comma, 10, comma, 10, comma, 10, comma, 6, comma, 7, comma, 8
Answers
The median is 10 as the value 10 is at 10th position.
What is Median?
The median is the value that separates the upper and lower halves of a data sample, population, or probability distribution in statistics and probability theory. It is sometimes referred to as "the middle" value in a data collection.
Solution:
Firstly we need to arrange the data in ascending order
6,6,6,7,7,7,8,8,10,10,10,10,10,10,10,10,10,88,88
the total number of digits are
n = 19
So, the middle value that divide the data in two halves will be at n = 10
The median is 10 as the value 10 is at 10th position.
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consider the process of throwing $m$ balls into $n$ bins, where each ball is thrown into a uniformly random bin, independent of other balls. what is the expected number of balls in a particular bin $b$?
Answers
The predicted quantity of balls in the first bin is (1/n)n.
Considering that,
There are the same number of balls and containers.
If so, then each container must always contain one ball. The probability of each ball landing in the first bin is (1/n)n.
For instance -
Three balls and three bins should be present. Next to each ball, place an A, B, and C. There are numbers 1, 2, and 3 on the containers. Ball A has a 1/3 chance of landing in bin 1. Although there is a 1/3 probability that ball B will drop in bin 1 and a 1/3 chance that ball C will do the same, both outcomes are possible. Therefore, bin 1 should be equal to 1/3 + 1/3 + 1/3. The rationale behind the projected values of bins 2 and 3 is identical.
According to the same logic, bins 2 and 3 should also have expected values of 1.
How probable is it that the first bin will receive all three balls?
In general, (1/n)n, which equals (1/3)3, or 1/3 x 1/3 x 1/3, equals 1/27.
Therefore, (1/n)n would be the expected number of balls in the first bin.
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several people form groups with eight people in each group. write an expression for the number of groups formed by p people. how many groups are formed if there are 96 people?
Answers
If 96 people divide into groups of eight, the following expression indicates that 12 groups are created.
Eight persons form groups made up of multiple people. a expression for how many groups made up of p people there are.
P = the number of groups.
12 groups out of 96
If there are 96 individuals, 12 groups are created.
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in words we could say that one thousand grams is equal to one grams. (write the prefix, do not include any dashes).
Answers
The statement is 1000 g = 1 kg. One thousand grams is equal to one kilo grams, to put it in words.
Given that,
The statement is 1000 g = 1 kg. One thousand grams is equal to one _____ grams, to put it in words. (Write the prefix; leave out the dashes.)
We have to fill the blank.
We know that,
What is kilogram?The metric system's fundamental mass unit is the kilogram. In the past, it has been measured using a variety of sources. It was first calculated based on the weight of 1000 cc of water. Water density varies according to temperature. Furthermore, this reference has been abandoned since the contaminants and solutes in water also provide erroneous results when standardizing the ideal mass of 1 kg.
What is gram?A gram is described as the 1/1000th of a kilogram in the reference used to define a mass of 1 kg. The maximum density of 1 g/cc was originally used to define it as the mass of 1 cc of water.
Therefore, The statement is 1000 g = 1 kg. One thousand grams is equal to one kilo grams, to put it in words.
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Which set of measurements can represent the lengths of a triangle's sides? classify each set of lengths as a triangle or not a triangle.
Answers
The measurements are represented by lengths of a triangle's sides by -
Option C: 3 in, 7 in, and 8 inOption D: 3 in, 5 in, and 7 inExplain the term triangle?A triangle is a polygon with three vertices and three sides. The angles of a triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.The triangle's three sides must satisfy the following condition:
"The total of any two triangle sides must be larger than or equal here to third side of the triangle."
We have four options in this question, so we'll go through them one at a time.
Option A: 1 in, 3 in, and 7 inSince (1+3)<7 in this case, a triangle cannot be formed.
Option B: 3 in, 3 in, and 7 inSince (3+3)<7 in this case, a triangle cannot be formed.
Option C: 3 in, 7 in, and 8 inIn this instance, (3+7)>8, (3+8)>7, and ((7+8)>3
Thus, a triangle will be formed by these.
Option D: 3 in, 5 in, and 7 inIn this instance, (3+5)>7, (3+7)>5, and (5+7)>3
Thus, a triangle will be formed by these.
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The options for the question are attached.
if the slope of a line is k, and the line passes through the points (0, k 3) and (-3 , 0), what is the value of k
Answers
Answer:
1
Step-by-step explanation:
assuming your points are (0,3) and (-3,0) you would "rise" 3 and "run" 3 to get from one point to the next on a graph, making your rise over run (aka slope) 3/3 which is equal to 1.
Write an expression to show how to find Milan's age when Raul is 14
Answers
The expression to show how to find Milan's age when Raul is 14 is x + 6 = 14.
What is an expression to calculate the age?An expression is simply used to show the relationship between the variables in the data.. Addition, subtraction, multiplication, and division are possible mathematical operations.
Let Milan's age be x
Rauls age = x + 6
Therefore, when Raul is 14, Milan will be:
x + 6 = 14
Collect like terms
x = 14 - 6
x = 8
Milan is 8 years.
The expression is x + 6 = 14
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Complete question
Milan is 6 years younger than Raul. Write an expression to show how to find Milan's age when Raul is 14
in the problem to the left if Tim mows 9 lawns this week, by how much will he have exceeded his goal
( Tim earns 120 plus 30 for each lawn he mows. )
PLEASE HELP
Answers
Answer:
Step-by-step explanation: 69
If $\frac{x}{2} + \frac{y}{3} = 1$ and $\frac{x}{4} + \frac{2y}{3} = -1$, what is the value of the sum of $x$ and $y$?
Answers
For the given set of equations x/2 + y/3 = 1 and x/4 + 2y/3 = -1 the sum of x and y is 1.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given set of equations are,
x/2 + y/3 = 1,
x/4 + 2y/3 = -1.
Simplify both the equations,
3x + 2y = 6 (1)
3x + 8y = -12 (2)
Subtract equation (2) and (1),
6y = -18
y = -3
Substitute the value of y = -3, in equation (1)
3x + 2(-3) = 6
3x - 6 = 6
3x = 12
x = 4
The sum of x and y,
x+y = 4 - 3
= 1
The sum of x and y for the given equations, is 1.
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At 11:00 am, a body was found within a closed room of a mansion where the air temperature is a constant 70 degrees F. At the time of discovery, the core temperature was determined to be 85 degree F. One hour later, a second measurement showed the core temperature of the body was 80 degrees F. Assume the core temperature of the body at the time of death was 98.6 degrees F. Use Newton’s Law of Cooling to determine the time of death. Hint: Let t=0 represent 11:00 am and work backwards to 98.6 degrees F.
Answers
The time that has elapsed before the body was found is 1.5 hour
What is Newton's method of cooling ?Newton's law of cooling states that the rate of heat loss from a body is inversely related to the temperature difference between the body and its surroundings.
Given:
when time, t = 0, temperature = 98.6 ⁰F
when time, t = 1, temperature = 75⁰
when time, t = t, temperature = 80⁰
By Newton's method of cooling equation;
T(t) = [tex]T_s (T_0 - T_s)e^{kt[/tex]
T(t) = 70+ 28.6[tex]e^{kt[/tex]
Now, At the time of discovery
80 = 70+ 28.6[tex]e^{kt[/tex]
10= 28.6[tex]e^{kt[/tex]
Then, 1 hour later( t + 1) we have the second equation;
75= 70 + 28.6[tex]e^{kt[/tex]
28.6[tex]e^{kt[/tex] = 5
Now, divide equation 1 by equation 2;
2= [tex]e^{-k[/tex]
k = -0.693
The time when he dead body was discovered
10= 28.6[tex]e^{kt[/tex]
10= 28.6[tex]e^{-0.693[/tex]
-0.693t = ln (10 /28.6)
-0.693t = -1.05
t= 1.5 hour
Hence, the time that has elapsed before the body was found is 1.5 hour
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question what is the hundreds digit of the integer z? (1) 10z > 25,670 (2) z rounded to the nearest hundred is 2,600.
Answers
Part a: 10z > 25,670; infinite integer.
Part b: Range = 2550 to 2649.
Explain the term integer?All whole numbers including negative numbers are considered integers. This means that if we combine negative numbers with whole numbers, a collection of integers results. An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion. Integers include things like -5, 10, 21, 15, 18, 97, and 343.Part a: 10z > 25,670
Divide the inequality on both sides by 10.
z > 2,567
Thus, there are infinite number which are greater than 2567.
Part b: z rounded to the nearest hundred is 2,600.
Range = 2550 to 2649.
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Given parallelogram DEFG, if DF = 5x + 1, what is XF?
Answers
Applying the property of the diagonals of a parallelogram, XF = 13 units.
What are Some Properties of a Parallelogram?A parallelogram is a quadrilateral with the following properties:
The opposite sides are equal and parallelThe two diagonals of a parallelogram bisects each other into equal halves each.DF and EG are diagonals of parallelogram DEFG, where:
DF = 5x + 1
EX = 2x
XG = 3x - 5
Based on the property of the diagonals of a parallelogram, we have:
EX = XG
Substitute
2x = 3x - 5
2x - 3x = -5
-x = -5
x = 5
Length of XF = 1/2(DF)
Substitute
Length of XF = 1/2(5x + 1)
Plug in the value of x
Length of XF = 1/2(5(5) + 1)
Length of XF = 13 units
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Select the correct answer
3/4x + 4 = 7
1. 4
2. 44/3
3. -3
4. 8
Answers
Answer:
A) x=4
Step-by-step explanation:
Answer:
1. 4
Step-by-step explanation:
3/4 x + 4 = 7 Multiply all the way through by 4 to clear the fraction
3x + 16 = 28 Subtract 16 from both sides
3x = 12 Divide both sides by 3
x = 4
which fraction is greater 1/3 or 1/9
Answers
Answer:
1/3
Step-by-step explanation:
1/9 is one piece in total of 9 but 1/3 is one piece in total of 3
can anyone please write this in word form.
Answers
Answer:
four x plus three divided by two
Step-by-step explanation:
suppose there are n independent trials of an experiment with k>3 mutually exclusive outcomes, where pi represents the probability of observing the ith outcome. what would be the formula of an expected count in this situation?
Answers
The expected counts for each possible outcome are given by Ei = npi
What is mutually exclusive outcomes?
When two events cannot happen simultaneously or at the same time, they are said to be mutually exclusive in probability theory. In other words, discontinuous occurrences are described as being mutually exclusive. The likelihood of two events occurring simultaneously is 0 if they are regarded as disjoint events. Events that do not occur simultaneously are said to be mutually exclusive. When a coin is tossed, for instance, the outcome will either be head or tail, but we cannot get both outcomes.
The expected counts for each possible outcome are given by Ei = npi
Suppose there are n independent trials of an experiment with k > 3 mutually exclusive outcomes,
where pi represents the probability of observing the ith outcome.
The expected counts for each possible outcome are given by Ei = npi
Where, pi is the probability of observing the ith outcome
Ei is the expected count of the ith outcome.
Hence, The expected counts for each possible outcome are given by Ei = npi.
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PLS HELP WILL GIVE BRAINLIEST The table shows a hot air balloon's height h, in feet, during a descent at various times t, in seconds.
Answers
Step-by-step explanation:
A .
1150-1090=60
60feet/5sec = 12feet/sec
B.
yes it's is constant , because is decreasing by 60 feet in every 5 sec
C.1150
even if a treatment has no effect, it is still possible to obtain an extreme sample mean that is very different from the population mean. what outcome is likely if this happens?
Answers
The outcome is Reject H0 and make a Type 1 error
What is H0?
When your sample contains sufficient evidence, you can reject the null and conclude that the effect is statistically significant. Statisticians often denote the null hypothesis as H0.
Here type 1 error is defined as Rejecting H0 when H0 is true.
Therefore, the outcome is Reject H0 and make a Type 1 error.
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