Answer:
the answer is 4
Step-by-step explanation: r is the variable so we are trying to find a number that would equal 21 . 3x4=12+9=21 pls mark me brainiest thanks;p
Answer questions using letters to name each line angle. Write them in
alphabetical order.
GH and IJ are parallel lines and PQ is the transversal.
To determine which two lines are parallel, you need to identify pairs of lines that have the same slope and never intersect. Parallel lines can be found by comparing the slopes of the lines in the given diagram.
The name of the transversal can be identified by looking for a line that intersects two or more other lines in the diagram. The transversal is a line that cuts across the other lines.
In the given diagram, lines GH and IJ can be identified as parallel lines. Parallel lines are lines that have the same slope and never intersect. In this case, GH and IJ can be seen as distinct lines that maintain a constant distance from each other, extending infinitely in both directions.
Furthermore, line PQ can be recognized as the transversal. A transversal is a line that intersects two or more other lines. In this diagram, PQ intersects both GH and IJ, forming multiple angles at their intersection points.
The given question is incomplete. The complete question is:
Answer questions using letters to name each line angle. Write them in
alphabetical order. 1. Which two lines are parallel? 2. What is the name of the transversal
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What i 464 divided by 60 with a remainder?
(trying to figure out how many hour i 464 minute)
When we divide the 464 by 60 we get the following remainder in our answer that is 44.
What do math remainders mean?The Remainder is the name for the value that is left behind after division. If an amount (reward) cannot be divided completely with another number, we are left with only a meaning (divisor). The remaining is the name for this amount. For instance, 10 is not precisely divisible by 3. We can calculate 3 x 3 = 9 because that is the closest value.
Briefing :7.733333333333333
=7 44/60 ⇔ 7 R 44
464 divided by 60
=7 with a remainder of 44
Here, we provide you the outcome of the dividing with remainder, often known as the Euclidean division, along with a brief explanation of the following terms:
464 divide by 60 yields a quotient and residual of 7 R 44.
464 is the dividend & 60 is the divisor; the division (numeric division) of 464/60 is 7; the remainder ("left over") is 44.
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Evaluate
a - b + 3C when
a = 4, b = -2, and
4b =
C = 3.
Answer:
19
Step-by-step explanation:
Plugin a =4 ; b = -2 & c =3 in the expression
a - b + 3c = 4 - (-2) + 3*3
= 4 + 6 + 9
= 19
a. What does the size of each section tell you about that portion of the data? Select all that apply.
A. The relative importance of the category
B. The difference between the minimum and maximum values within the category
c. The count of data points within the category
D. The relative frequency of data within the category
The size of each section in a graph tells in relation to the portion of the data :
c. The count of data points within the categoryD. The relative frequency of data within the categoryWhat does the size show?The magnitude of a graphic's segment indicates a specific attribute of the data being presented. In charts like pie charts or stacked bar graphs, each component's size denotes the relative frequency or proportion of data points in a particular category.
This implies that larger fragments reflect an increased number of data points for its associated categories whereas smaller ones represent categories with lesser data points.
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HELP HELP HELP
EASY 18 POINTS!
Solving Quadratic Equations Algebraically Explain how to determine the solutions to a quadratic equation, algebraically. Create a problem with a quadratic equation that you would solve algebraically and solve it.
Step-by-step explanation:
So a quadratic equation in factored form is generally given in the form: \(a(x-b)(x+c)\). Sometimes x may have a coefficient but I'll just create a simple quadratic equation. In this form it's easy to see that the solutions to the equation are b and -c, because if you input them in as x, you'll get one of the factors equal to 0, and it'll make the y-value zero, thus it's a solution. So b and c can literally be anything. But for this example I'll chose 3 and 6 to keep it simple. Inputting these as b and c you'll get: \(a(x-3)(x+6)\). Now the value of a will determine the stretch/compression, but to keep it really simple I'll just say that a=1. So now all you have to do is expand the two factors. When you expand them you'll get it in the form: \((x-b)(x+c) = x^2+cx-bx-bc\) by using the foil method. So if you expand the two factors in this example you'll get: \(x^2+6x-3x-18\) which simplifies to \(x^2+3x-18\). So cool now we have our equation. Now it's time to solve it, you can either factor it (since you literally just had it in factored form), or use the quadratic formula I'll show both methods
Factoring:
When you factor an equation in the form: \(ax^2+bx+c\). You usually multiply the coefficients a and c. Then you'll find factors of ac that add up to b. In this example ac is really just c because a is 1...
So given the equation: \(x^2+3x-18\) You want to look for factors of -18 that add up to 3. And whenever you have a negative number as AC you really want to look for factors that have a distance of b which in this case is 3. For example I would say that 9 and 3 have a distance of 6. And then after that depending on whether b is negative or positive. I can choose which factor will be negative and which will be positive. If b was 6 well then 9 would have to be positive and 3 would be negative, but if b was -6 then 9 would have to be negative and 3 would have to be positive.
So in this example look for factors that have "distance" of 3. Well 6 and 3 have a "distance" of 6 so I know those 2 will be the factors. Since 3 is positive that means 6 will be positive, and 3 will be negative. so they add up to 3 and multiply to get -18
AC factors that add up to 3 and multiply to -18: 6 and -3
Now write it in factored form using the two factors:
\((x-3)(x+6)\)
Now set up each factor equal to 0 and solve for x:
\(x-3 = 0\\x=3\)
\(x+6=0\\x=-6\)
This gives you the two solutions: x=3 and x=-6
Quadratic Formula:
The quadratic formula is usually used when a equation can't be easily factored. The quadratic formula gives both zeroes in the equation: \(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\). Notice the plus or minus sign next to the square root? That's where the the two solutions will come from, or possibly one solution if it's at the vertex. or maybe even no real solutions if the quadratic never intersects the x-axis.
Ok so let's identify a, b, and c. We're given the equation: \(x^2+3x-18\). so a=1, b=3, and c=-18. Plugging these values into the equation you get:
\(x=\frac{-(3)\pm\sqrt{(3)^2-4(1)(-18)}}{2(1)}\\\)
Simplifying it a bit gets you the equation:
\(x=\frac{-3\pm\sqrt{81}}{2}\)
Simplifying the radical gives you:
\(x=\frac{-3\pm9}{2}\)
Use the positive sign:
\(x=\frac{-3+9}{2}\\x=\frac{6}{2}\\x=3\)
Use the negative sign:
\(x=\frac{-3-9}{2}\\x=\frac{-12}{2}\\x=-6\)
This gives you the two solutions x=3, and x=-6
HELP ME I WILL GIVE BRAINLIEST TO THE FIRST PERSON TO DO IT.
Step-by-step explanation:
Here you go,
number 7 = 26
number 9 = 66
number 8 = 79
number 6 = 31
Which defines a circle?
two rays with a common endpoint
O a piece of a line with two endpoints
O a piece of a line with one endpoint
O all coplanar points equidistant from a given point
Answer:
the last one
all coplanar points equidistant from a given point.
Solve for v.
8 + 5v = -12
Simplify your answer as much as possible.
what number do you need to subtract from 100 to get 41?
100 - 41 = 59
so 100 - 59 = 41
Answer 59
The number you need to subtract from 100 to get 41 is 59
How to determine the number you need to subtractTo find the number you need to subtract from 100 to get 41, you can use the subtraction formula:
Subtraction = Initial number - Result
Given:
Initial number = 100
Result = 41
Subtraction = 100 - 41
Subtraction = 59
So, you need to subtract 59 from 100 to get 41.
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7. A city lot is twice as long as it is wide, If its perimeter is 480 units, what are the dimensions of the lot?
Answer:
Step-by-step explanation:
P = 480
P = 2 length + 2 width
but we also know that
2width = length
so plug that into the length
P = 2(2width) + 2 width
480 = 4 width + 2 width
480 = 6 width
80 = width
160= length
see?
A man with the height of 5 ft casts a shadow of 2ft. What will be the height of a tree that casts a shadow of 40 ft at the same time.
Answer:
100ft
Step-by-step explanation:
5 × 2 = 10
2 × 2 = 4
10 × 10 = 100
A rectangular airstrip measures 34.10 m by 290 m, with the width measured more accurately than the length. Find the area (in m2), taking into account significant figures.
[a] m^2
The area of the rectangular airstrip, taking into account significant figures, is \(9899 m^2\) .
To find the area of the rectangular airstrip, we multiply the length by the width:
Area = Length × Width
Given:
Length = 34.10 m (with four significant figures)
Width = 290 m (with three significant figures)
To determine the appropriate number of significant figures in the result, we use the rule that the result of a multiplication or division should have the same number of significant figures as the factor with the fewest significant figures.
In this case, the width has three significant figures, so the result should also have three significant figures.
Calculating the area:
Area = 34.10 m × 290 m
Area = \(9899 m^2\) (rounded to three significant figures)
Therefore, the area of the rectangular airstrip, taking into account significant figures, is \(9899 m^2\) .
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i need help w 20 - 7x = 6x - 6
Answer:
20-7x=6x-6
-13x+20=-6
-13x= -26
x=2
Step-by-step explanation:
In the problem 23.75 ÷ 1.33, what is the divisor?
Answer:
The divisor in your equation would be 1.33
Step-by-step explanation:
This is true because 1.33 is after the division sign, which means that 23.75 is divided by 1.33.
Answer:1.33
Step-by-step explanation:
Is the following relation a function? {(0.3, 0.6), (0.4, 0.8), (0.3, 0.7), (0.5, 0.5)}
25 points
No, the given relation is not a function. An association between items of two sets—the domain and the codomain—is known as a binary relation.
What is a function ?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
A binary connection in mathematics links elements of one set, referred to as the domain, with elements of another set, referred to as the codomain. A new set of ordered pairs made up of elements from sets X and Y and x in X is known as a binary relation across these sets.
Al-Biruni and Sharaf al-Din al-Tusi, two Persian mathematicians, are responsible for the earliest documented treatment of the concept of function. Initially, functions represented the idealised relationship between two changing quantities.
Consider the given relation
{(0.3, 0.6), (0.4, 0.8), (0.3, 0.7), (0.5, 0.5)}
We need to check whether the given relation is function or not.
A relation is a function if there exist a unique value of y for each value of x.
In the given relation, for x=0.3 there exist more than one value of y.
y=0.6 at x=0.3
y=0.7 at x=0.3
For one input there exist more than one output. Therefore, the given relation is not a function.
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Suppose Mike surveyed 300 students. How many students would you expect to choose reptiles as their favorite pet?
Answer:150
Step-by-step explanation:
suppose he asks 300 and only 1/2 say yes,
Please help with this question
The area of the given figure would be = 508yd
What is an area of an object?The area of an object is defined as the total space that is being occupied by that object.
The are of the given shape above= area of a rectangle - area of square.
Area of the rectangle = length × width
= 36 × 18 = 648yd
Are of a square = length × width
= 10×14 = 140
Therefore, area of the figure, 648 - 140 = 508yd
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If the roots of a quadratic equation are +4√3i, where will the graph intersect the x-.
axis?
At (4√3,0) and (4√/-3.0)
At (0, -4√3) and (0.4√3)
At (4√3.0) and (-4√3.0)
The graph will not intersect the x-axis.
The correct answer is, The graph will not intersect the x-axis.
What is the quadratic equation?
The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
If a quadratic equation has complex roots of the form a + bi, then the corresponding quadratic equation can be written as (x - a - bi)(x - a + bi) = 0.
In this case, the roots are +4√3i, which means the corresponding quadratic equation can be written as:
(x - 4√3i)(x + 4√3i) = 0
Expanding this equation, we get:
x² + 48 = 0
So the graph of this quadratic equation is a parabola that opens upward (since the coefficient of x² is positive), and it does not intersect the x-axis.
Therefore, the correct answer is, The graph will not intersect the x-axis.
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xClusive! Why or why not?
AnDad pl40b)20 dA1O
PLA1T O PL6)10 C
7-69. The
following data was collected about students in Mr. Rexinger's high
school statistics class.
Wearing Not wearing
wearing because of the division of running man.
Step-by-step explanation:
The statistics are divided by 29 to get the answer in cubic cm.
In a ________ method, relationships between variables are studied by making observations or measures of the variables of interest.
In a nonexperimental method, relationships between variables are studied by making observations or measures of the variables of interest.
What is nonexperimental research?Research without either the manipulation of an independent variable, the random assignment of individuals to conditions or orders of conditions, or both, is referred to as non-experimental research.
The non-experimental study is entirely dependent on variables that the researcher has no control over. By whatever means, they cannot manipulate, control, or change the subjects. Thus, all they can do is continue their research while monitoring and interpreting their subjects.
It is safe to assume that a non-experimental research design is used when there is no specific cause-effect study problem and the researcher simply wants to grasp a topic in depth without constraining it with variables. They examine the natural phenomena as they take place.
Therefore, in a nonexperimental method, relationships between variables are studied by observing or measuring the variables of interest.
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this is due sometime soon
The transformation rule of the given graph is: (x, y) → (x + 2, y + 5)
What is the transformation rule?There are different ways of transformation such as:
Translation
Rotation
Dilation
Reflection
Now, we ae told that the line LM undergoes a translation to form line L'M'. The coordinates of LM are:
L(-7, -2) and M(0, 5)
The coordinates after translation are:
L'(-5, 3) and M(2, 10)
Thus, the transformation rule is:
(x, y) → (x + 2, y + 5)
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What is the equation of the line that passes through the point (5,8) and has a slope of 1
\((\stackrel{x_1}{5}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{ 1}(x-\stackrel{x_1}{5})\implies {\Large \begin{array}{llll} y=x+3 \end{array}}\)
Landon analyzed data and found that the correlation coefficient for their line of best fit was -0.85. Marco analyzed a different set of data and found a correlation coefficient of 0.85. Marco states that since 0.85 is greater than -0.85, his data points have a better line of best fit than Landon. Is Marco correct? Why, or why not?
Marco's data points have a better line of best fit based on a comparison of Correlation coefficients.
Marco is incorrect in stating that his data points have a better line of best fit than Landon based solely on the comparison of correlation coefficients. The magnitude of the correlation coefficient alone does not determine the quality or strength of the line of best fit.
The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1. A positive correlation coefficient (such as 0.85) indicates a positive linear relationship, while a negative correlation coefficient (such as -0.85) indicates a negative linear relationship. The closer the correlation coefficient is to -1 or +1, the stronger the relationship. A correlation coefficient of 0 indicates no linear relationship.
In the case of Landon and Marco, both correlation coefficients have the same absolute value of 0.85, suggesting a strong linear relationship. However, the negative sign for Landon's correlation coefficient indicates a negative linear relationship, while the positive sign for Marco's correlation coefficient indicates a positive linear relationship.
The comparison between -0.85 and 0.85 should not be made in terms of greater or lesser quality of the line of best fit. The choice of a positive or negative correlation depends on the context and nature of the variables being analyzed.
The appropriateness of the line of best fit and the goodness-of-fit of the model should be evaluated based on additional factors such as the data points' distribution around the line, residuals, and the overall context of the analysis. These aspects provide more comprehensive insights into the quality of the fit and the reliability of the relationship being represented.
Therefore, Marco's data points have a better line of best fit solely based on a comparison of correlation coefficients. The interpretation of the correlation coefficient requires considering the nature of the variables and other factors influencing the analysis.
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31.8÷3
I know that 31.8÷3 equal 10.6 but why
Answer: The answer’s in the picture
Step-by-step explanation:
Answer:
Through long-division, I'll upload an image
Step-by-step explanation:
"A study conducted several years ago reported that 21% of public accountants changed companies within 3 years. The American Institute of CPAs would like to update the study. They would like to estimate the population proportion of public accountants who changed companies within 3 years with a margin of error of 3% and a 95% level of confidence.
(Round up your answers to the next whole number.) Required: a. To update this study, how many public accountants should be contacted?"
Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.
Given Information :A study conducted several years ago reported that 21% of public accountants changed companies within 3 years.
The American Institute of CPAs would like to update the study.
They would like to estimate the population proportion of public accountants who changed companies within 3 years with a margin of error of 3% and a 95% level of confidence.
Required:a. To update this study, how many public accountants should be contacted? Solution: Given that: the percentage of public accountants changed companies within 3 years is 21%.The level of confidence is 95%.
The margin of error is 3%.We have to find out the sample size.To find the sample size we use the formula :n = [Z² x p x q ] / E²
Where, Z = Standard normal deviation corresponding to a 95% confidence level is 1.96.p = proportion = 21/100 = 0.21q = 1-p = 1-0.21 = 0.79E = margin of error = 3/100 = 0.03
Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.
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What is the volume of a sphere with a radius of 12 units?
A. 1447 units
B. 230410 units
C. 5767 units
D. 17287 units
Answer:
7238 units^3
Step-by-step explanation:
The formula for the volume of a sphere of radius 12 units is
V = (4/3)(pi)r^3.
Here, with r = 12 units,
V = (4/3)(pi)(12 units)^3 = 7238 units^3
Answer:
V = 2304π units³
Step-by-step explanation:
V = (4/3)πr^3
V = (4/3)π(12)^3
V = (4/3)π(1728)
V = 2304π units³
The circumference of a circle is 19 pi meters. What is the radius in meters?
Answer:
Area = π·r^2 = 3.14·9.5^2 = 283.5 square meters(*)
Area of a circle in terms of diameter:
Area = π·(d/2)^2 = 3.14·(19/2)^2 = 3.14·(9.5)^2 = 283.5 square meters(*)
Area of a circle in terms of the circumference:
Area = C^2/4π = 59.69^2/4π = 3562.9/(4·3.14) = 3562.9/12.56 = 283.5 square meters(*)
(*) 283.52873698648 meters, exactly or limited to the precision of this calculator (13 decimal places).
Note: for simplicity, the operations above were rounded to 2 decimal places and π was rounded to 3.14.
Hope it is helpful...
(4 marks) Let (X, d) be a metric space and A ⫃ X a nonempty subset of X. Prove that a point is an interior point of A, x € Aº if and only if
dist (r, Ac) > 0,
where
dist (x, Ac) = inf{d(x,y) | ye Ac}.
(4 marks) Let X = {a,b,c} be a three-point space equipped with the topology Tx = {Ø, {a}, {b}, {a,b}, {a,b,c}}, and let Y = {0, 1} be a two-point space with the topology Ty = {Ø, {1}, {0, 1}}. Define a map f: (X, Tx) (Y, Ty) by
f(a)=1, f(b) = 0, f(c) = 0.
Let g: (Y, Ty) → (X, Tx) be defined by
g(0) = a; g(1) = b.
Are the maps f and g continuous with respect to the stated topologies? Provide reasons for your answer.
(4 marks) Let the set X = [0, 2] u {3} be equipped with the subspace topology inherited from the standard metric topology on the reals R.
(i) Is the set [0, 1) open in the subspace topology on X?
(ii) Is the set {3} open in the subspace topology on X?
Provide reasons for your answers.
(4 marks) All spaces below are equipped with the standard metric topology inherited from R.
(i) Is the space X = (-3, 2) homeomorphic to Y = [0, 1]?
(ii) Is the space X = [0, 2]u[4, 5] homeomorphic to Y = [10, 15]?
Provide reasons for your answers.
To prove that a point x is an interior point of a nonempty subset A of a metric space X, x ∈ A°, if and only if the distance from x to the complement of A, dist(x, Ac), is greater than zero.
The maps f: (X, Tx) → (Y, Ty) and g: (Y, Ty) → (X, Tx) are continuous with respect to the stated topologies because the preimages of open sets under these maps are open sets.
(i) The set [0, 1) is not open in the subspace topology on X. (ii) The set {3} is open in the subspace topology on X.
(i) The space X = (-3, 2) is not homeomorphic to Y = [0, 1]. (ii) The space X = [0, 2] ∪ [4, 5] is not homeomorphic to Y = [10, 15].
To prove that x ∈ A° if and only if dist(x, Ac) > 0, we can use the definition of an interior point and the properties of the infimum. If x is an interior point of A, then there exists a ball centered at x that is entirely contained within A. This implies that the distance from x to any point in the complement of A, Ac, is greater than zero. On the other hand, if dist(x, Ac) > 0, we can show that x must be an interior point by constructing a ball centered at x with a radius less than dist(x, Ac).
The map f: (X, Tx) → (Y, Ty) is continuous because the preimage of any open set in Y under f is an open set in X. Similarly, the map g: (Y, Ty) → (X, Tx) is continuous because the preimage of any open set in X under g is an open set in Y. In both cases, the preimages consist of singletons or unions of singletons, which are open sets in the respective topologies.
(i) The set [0, 1) is not open in the subspace topology on X because it does not contain an open neighborhood of the point 1. (ii) The set {3} is open in the subspace topology on X because it is equal to the intersection of X with an open set in the standard metric topology on the real line.
(i) The space X = (-3, 2) is not homeomorphic to Y = [0, 1] because removing any point from X disconnects the space, while removing any point from Y does not disconnect the space. (ii) The space X = [0, 2] ∪ [4, 5] is not homeomorphic to Y = [10, 15] because the former is disconnected, consisting of two disjoint closed intervals, while the latter is a connected closed interval. Homeomorphic spaces preserve topological properties such as connectedness, so the spaces cannot be homeomorphic.
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write equivalent fractions for 3/5 and 1/4 using 20 as a common denominator
Answer:
12/20 and 5/20
Step-by-step explanation:
for 3/5is multiplied with 4 both numerator and denominator
as known as 1/4 will multiplied by 5/5
The equivalent fractions to the given fractions with 20 as denominator are 12/50 and 5/20.
What are fractions?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English. Finding the reciprocal of the second fraction—reversing its numerator and denominator—is the first step in dividing fractions. Multiply the two numerators after that. Multiply the two denominators after that. If necessary, simplify the fractions to finish.So, the equivalent fraction with 20 as the denominator:
Then, do the calculations as follows:
3/5 × 4/4 = 12/501/4 × 5/5 = 5/20Therefore, the equivalent fractions to the given fractions with 20 as denominator are 12/50 and 5/20.
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I've got a math test wish me luck
Step-by-step explanation:
best of luck dear.........