The first one is correct
It's the only one with a positive 13/3 and a negative 5/6 and has the 13/3 being divided by 5/6
4 1/3 = 13/3
4 x 3 + 1 = 13
keep denominator
13/3
A window is 12 feet above the ground. A ladder is placed on the ground to reach the window. If the bottom of the ladder is placed 5 feet away from the building, what is the length of the ladder?
Answers :
you will nees to use pythagorean theorem a^2 + b^2 = c^2
the a and b values will be 12 and 5 feet. So just plug them in and solve for c
12^2 + 5^2 = c^2
144 + 25 = c^2
169 = c^2 square root both sides
13 = c
so the ladder has a length of 13 feet.
Billy finished his history assignment in 1/4 hours. Then he completed he’s chemistry assignment in 1/3 hours. What’s the total amount of time bill spent doing these 2 assignments
Answer:
7/12 of an hour
Step-by-step explanation:
you add them, by finding the common denominator.
1/3=4/12
1/4=3/12
3/12+4/12=7/12
Find the H. C. F of 56 and 112
Answer:
56 and 112
factors of 56 = 1, 2, 4, 7, 8, 14, 28 and 56
56: 1 * 56 = 56
2 * 28 = 56
4 * 14 = 56
7 * 8 = 56
factors of 112 = 1, 2, 4, 7, 8, 14, 28, 56 and 112
112: 1 * 112 = 112
2 * 56 = 112
4 * 28 = 112
7 * 16 = 112
8 * 14 = 112
HCF of 56 and 112 is 56.
Step-by-step explanation:
We first find the factors of 56 and then find the factors of 112. We continue to find the HCF of the two numbers which is 56.
4. Amy, Betty and Carol have 96 books altogether. Betty has 6 books less than Amy and Carol has half as many as Betty. How many books does each girl have?
The Amy has 42 books, Betty has 36 books, and Carol has 18 books.
Let's set up equations to represent the given information:
Let A represent the number of books Amy has.
Let B represent the number of books Betty has.
Let C represent the number of books Carol has.
Let's say Amy has x books.
Betty has 6 books less than Amy, so Betty has (x - 6) books.
Carol has half as many books as Betty, so Carol has (x - 6)/2 books.
According to the problem, the total number of books they have is 96.
So, we can write the equation:
x + (x - 6) + (x - 6)/2 = 96
To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:
2x + 2(x - 6) + (x - 6) = 192
2x + 2x - 12 + x - 6 = 192
5x - 18 = 192
5x = 210
x = 42
Amy has 42 books.
Betty has (42 - 6) = 36 books.
Carol has (36)/2 = 18 books.
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If x= 45, then √x is between
4 and 5
44 and 46
22 and 23
6 and 7
Sobre una embarcación de 160 kg que está en reposo con su proa apuntando a la orilla, comienza a caminar una persona de 70 kg desde la proa hacia la popa, a 0.80 m/s respecto a la embarcación. ¿Cuáles son las velocidades de la embarcación y de la persona respecto a la orilla? Desprecia la resistencia del agua al movimiento.
The velocities of the boat and the person relative to the shore are 1.337 m/s and 2.896 m/s, respectively.
How to calculate the velocityWe can use the conservation of momentum equation:
(mboat + mperson) * vboat = mperson * vperson
(160 kg + 70 kg) * vboat = 70 kg * (0.80 m/s + vperson)
230 kg * vboat = 56 kg * (0.80 m/s + vperson)
vboat = (56/230) * (0.80 m/s + vperson)
vperson = 0.80 m/s + vboat
vperson = 0.80 m/s + (56/230) * (0.80 m/s + vperson)
(174/115) * vperson = (504/115) * m/s
Dividing both sides by (174/115), we get:
vperson = 2.896 m/s
vboat = (56/230) * (0.80 m/s + vperson)
Substituting the value of vperson, we get:
vboat = 1.337 m/s
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On a 160-kg boat that is at rest with its bow pointed to the shore, a 70-kg person begins to walk from the bow to the stern at 0.80 m/s relative to the boat. What are the velocities of the boat and the person relative to the shore? Neglect the resistance of water to motion.
e fence factorise completely
this expression
144
144 = 12² = (3 x 4)²
Hope this helps
GEOMETRY WILL MARK BRAINLIEST
Answer: 13 and 14 degrees
Step-by-step explanation:
Answer:
Step-by-step explanation:
x+6 = -6+4x
4x-x = 6+6
3x = 12
x =12/3
x = 4
Substituting x into the value of CH:
-6+4(4)
= -6 + 16
CH = 10
Lacy is shoveling driveways. She has shoveled 9 driveways out of a total of 12 driveways. What percent of the driveways does Lacy still have to shovel?
Answer:
75%
Step-by-step explanation:
1. solve 9/12=.75
2. multiply by 100 to get the percentage
geometrical prove that a + b x a minus b is equals to a square minus b square
Step-by-step explanation:
a² + b²
difference of two square
= (a + b)(a - b)
Answer:
see explanation
Step-by-step explanation:
(a + b)(a - b)
each term in the second factor is multiplied by each term in the first factor, that is
a(a - b) + b(a - b) ← distribute parenthesis
= a² - ab + ab - b² ← collect like terms
= a² - b²
All quesions please. As fast as possible would be nice
Answer:
Vhjaakkjvvkllmn aar
Step-by-step explanation:
Vbkisavn
Vhikjsqiol
NG Jill quolk
Hill s njknbn
Does this table represent a function? Why or why not?
O
X
2
3
3
4
5
y
1
4
3
2
5
A. Yes, because there are different y-values.
B. Yes, because every x-value corresponds to exactly one y-value.
C.
No, because the y-values are positive.
D. No, because one x-value corresponds to two different y-values.
SUBMIT
The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.
To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:
x | y
-------
O | 1
X | 4
2 | 3
3 | 2
3 | 5
4 |
5 |
From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.
This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).
Therefore, the given table does not represent a function.
The correct answer is D. No, because one x-value corresponds to two different y-values.
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Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is
shown:
RS = √(-4) (-3))² + (7 − 5)²
= √(-1)² + (2)²
= √1 + 4
= √5
-
What error, if any, did Heather make?
A. She substituted incorrectly into the distance formula.
B. She subtracted the coordinates instead of adding them.
C. She made a sign error when simplifying inside the radical.
OD. She made no errors.
The distance between points R and S is \(\sqrt{ (185)\). The correct answer is D. She made no errors.
Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:
RS = √(-4) (-3))² + (7 − 5)²
= √(-1)² + (2)²= √1 + 4
= √5
The error is with the order of subtraction in the formula for the distance between two points.
Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.
The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;
dAB = \(\sqrt{ ((x^2 - x1)^2 + (y2 - y1)^2)\)
Comparing the given question with the formula above, we have;
A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.
Therefore, we have;
RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)
On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS
= \(\sqrt{ (8^2 + 11^2)RS\)
= \(\sqrt{ (64 + 121)RS\)
= \(\sqrt{ (185)\)
Therefore, the distance between points R and S is \(\sqrt{ (185)\).
From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.
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If the Jones family owned a $300,000 home, a $12,000 car, and had $150,000 in other assets, what would be their net worth? $462,000 $450,000 $312,000 $138,000
Answer:
462,000
Step-by-step explanation:
300,000+150,000+12,000=462,000
Answer:
Step-by-step explanation:
In which year will 67% of babies be born out of wedlock?
Based on the trend of the increase in children born out of wedlock, if this trend keeps increasing, the year with 67% of babies born out of wedlock will be 2055 .
What year will 67% of babies be born to unmarried parents?In 1990, the 28% of children were born out of wedlock and this trend was increasing by 0.6% per year.
If the trend continues, the number of years till 67% of children born out of wedlock will be:
= (67% - 28%) / 0.6%
= 65 years
The year will be:
= 1990 + 65
= 2055
The first part of the question is:
According to the National Center for Health Statistics, in 1990, 28% of babies in the United States were born to parents who were not married. Throughout the 1990s, this percentage increased by approximately 0.6 per year.
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Two friends store 3 cereal bors equally. How many cored bors each person get? Show your work Write an equation & solution: Explain your thinking.
Answer:
1 \(\frac{1}{2}\)
Step-by-step explanation:
There are a total of 2 friends, if they have 3 cereal bars and want to split it equally then we simply need to divide the number of cereal bars by the number of friends which would give us the number of cereal bars that each individual will get, which will be represented by x
x = 3 / 2
x = 1 \(\frac{1}{2}\)
Finally, we can see that each friend will get a total of 1 and a half of a cereal bar.
Find the graphical solution of the inequality.
6x + 4y ≤ −8
A set of twins purchase a small, oddly shaped plot of land for their retirement. They want to divide the parcel along the grid lines into two identical plots. Can they do it and how?
The ability of the twins to divide the oddly shaped plot into two Identical plots along the grid lines depends on the presence of a line of symmetry.
To determine whether the set of twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need to consider the characteristics of the plot and the conditions required for the division.
For the division to be possible, the plot needs to have a line of symmetry that can be used to create two identical halves. A line of symmetry divides an object into two equal and mirrored parts.
If the plot of land has a line of symmetry, the twins can divide it by drawing a line along the symmetry axis. This line should cut the plot into two equal halves, ensuring that both plots are identical.
However, if the plot does not have a line of symmetry, it may not be possible to divide it into two identical plots along the grid lines. In this case, the twins would need to consider alternative methods of division or compromise on the goal of having two identical plots.
To determine if the plot has a line of symmetry, the twins can examine its shape and characteristics. They can look for any symmetrical patterns, such as equal sides or mirrored shapes, that indicate the presence of a line of symmetry.
If the plot does not have an obvious line of symmetry, the twins might need to explore other options, such as dividing the plot into two equal areas based on other criteria, such as the length or width of each half.
the ability of the twins to divide the oddly shaped plot into two identical plots along the grid lines depends on the presence of a line of symmetry. If such a line exists, they can divide the plot by drawing a line along the symmetry axis. However, if the plot lacks symmetry, they may need to consider alternative methods of division or adjust their expectations.
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Note the full question may be :
To determine whether the twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need more specific information about the shape and dimensions of the plot. the shape of the plot (rectangular, triangular, irregular), the lengths of its sides, any existing grid lines or divisions within the plot.
Which step is the same when constructing an inscribed square and an inscribed regular hexagon?
O Construct a circle first
O Construct a line first
O Set the compass to the radus
Set the compass to greater than half the diameter
Question 4 Multiple Choice Worth 1 points)
(01.03 MC)
After the construction of a circle, we have to "Set the compass to the radius of the circle" so, option C is correct.
What is a regular hexagon?A regular hexagon is defined as a closed shape consisting of six equal sides and six equal angles. The sum of the measure of angles of a regular hexagon is 120 degrees.
Steps to create an inscribed hexagon:
1: The structure needs to adjust the box thickness towards that radius.
2: Afterward moves around the outside of the circular path to just produce the 6 vertices of that similar hexagon.
"Set the compass to the radius of the circle" so, option C is correct.
Thus the above answer is correct.
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Answer:
Construct a circle first
Step-by-step explanation:
If you're going to inscribe any figure in a circle, the first construction you need to do is construct the circle.
__
Additional comment
The attached shows our construction of an inscribed square and an inscribed regular hexagon. Here are the steps we used. You will notice the first step is construct a circle. (It could be, construct line AB, then construct circle A with radius AB.)
We have used line AB in the construction of the hexagon, but the hexagon could have been constructed without it. That is why "construct a circle first" is likely a better choice for a common first step.
square
construct circle A and locate a point B on itconstruct line AB, and locate point C at the other intersection of AB and circle Aset the compass to greater than half the diameterusing B as a center, draw arc RSusing C as a center, draw arc RS using the same compass setting. Label the intersection points R and S.draw line RS. Label the points of intersection with the circle as T and U.draw inscribed square CTBUregular hexagon
construct circle A and locate a point B on itconstruct line AB, and locate point C at the other intersection of AB and circle Awithout changing the compass, using B as a center, draw arc KL. Label intersection points K and L.using C as a center, draw arc JM. Label intersection points J and M.draw inscribed hexagon CJKBLM__
Arguably, the first step to constructing a circle is set the compass to the radius. We chose to ignore this because one of the ways to construct an inscribed hexagon is to mark off successive arcs around a circle that have a radius equal to the radius of the circle. We did not use that method. (The use of diameter BC made drawing 5 arcs around the circle unnecessary. We drew 2 instead.)
Or, you could argue that construct a line first is needed before you set the compass to the radius. If this is the first step, then the next steps would be to mark the center of the circle on the line, and mark another point at a distance of the radius from that center point.
What you consider to be the first step depends on the level of detail you want to attend to.
From 1980 through 1990, the prize money, P (in $1000’s) for the singles champions at the U.S. Open can be modeled by P=30.2t+35.8 where t=0 represents 1980. According to this model, when will the prize money be $500,000?
Answer:
p=30.2t+35.8
13966.48044692737
Factorise πrs + πr². Hence find the value of the expression. When π = 22/7₁ r = 5; s=16.
Answer:
330
Step-by-step explanation:
πrs + πr² ← factor out πr from each term
= πr(s + r )
substituting given values
= \(\frac{22}{7}\) × 5 × (16 + 5)
= \(\frac{22}{7}\) × 5 × 21
= \(\frac{22}{7}\) × 105 ( cancel 7 and 105 by 7 )
= 22 × 15
= 330
PLEASE HURRY DONT HAVE MUCH TIME WILL GIVE BRAINLIEST
(SEE PICTURE)
Find the value of x for m(arc AB) = 46 and m(arc CD) = 25. (The figure is not drawn to
scale.)
I don’t know how to do this problem help me!!
\(x-9z^5+4z+11+2z^5+14=-5z^5-3z+25\\x=2z^5-7z\)
Therefore, it's \(2z^5-7z\).
10-10=69.420!!!!!!!!!!
Complete the statement describing the key features of function h. Function h has an x-intercept of -3, an x-intercept of 0, an x-intercept of 1, no x-intercept and a y-intercept of -3, 0, 1. The function is positive for x>-3, x>0, x>1, all x and increasing, decreasing on all intervals of x. The average rate of change for the function on the interval [0,2] is 4.5, 7.5, 9, 15. Saved the answer
The answer for blanks in statements are, an x-intercept of 1 , -3, x>1 , increasing , 7.5.
Describe Function?Many mathematical and real-world phenomena are described by functions. Modeling real-world occurrences like population increase, interest rates, or physical motion is frequently done using them. There are many distinct features that functions can have, including continuity, differentiability, and periodicity. Functions can also be linear or nonlinear.
The domain and range of functions are crucial components. The set of all potential input values makes up the domain of a function, whereas the set of all possible output values makes up the range. The behaviour of a function, such as whether it is increasing, decreasing, or constant, can also be used to categorize it. A function's graph shows the relationship between its input and output values graphically.
Function h has an x-intercept of 1 and a y-intercept of -3. The function is positive for x>1 and increasing on all intervals of x. The average rate of change for the function on the interval [0, 2] is 7.5
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Select each expression that is a polynomial
5x³ + 2x + 10
04 + 3x³ - 2x + 1
x4
3x³ - 2x + √x - 3
-2
3x 3 + 4x 2 + 1
O-x5 + 3x³ - 2x + 1
Expression 4 is not a polynomial because it contains a square root, and expression 5 is not a polynomial because it only contains a single variable term (it is a monomial).
What is polynomial?A polynomial is a mathematical expression that consists of variables and coefficients, combined using the operations of addition, subtraction, multiplication, and non-negative integer exponents. The variables in a polynomial are typically represented by letters, such as x or y, and the coefficients are constants that multiply the variables.
by the question.
The expressions that are polynomials are:
5x³ + 2x + 10
04 + 3x³ - 2x + 1
x⁴
3x³ + 4x² + 1
-x⁵ + 3x³ - 2x + 1
Polynomials are expressions that consist of variables and coefficients, and only involve addition, subtraction, and multiplication (but not division) of these terms. All of the above expressions fit this definition.
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Arrange the steps in order to simplify the expression
Answer:
Step-by-step explanation:
For step explanation:
1. write the problem
2. distinguishing the neg sign
3. distributing 3
4. moving like terms next to each other through commutative property
5. Combining like terms
6. getting rid of parentheses
The number 2/5 is both an blank and an blank
The number 2/5 is both a ratio and a fraction.
How to describe the numberThe number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.
The expression is also a ratio because it indicates the quantitative relationship between the figures.
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Find an Euler path for the graph. Enter your response as a sequence of vertices in the order they are visited, for example, ABCDEA.
The Euler path of the given graph is CDBFADF.
A path in a finite graph known as an Euler path is one that traverses each edge precisely once while yet allowing for the revisiting of vertices.
A similar Euler trace that begins and finishes at the same vertex is known as an Euler circuit or cycle. When Leonhard Euler found a solution to the Seven Bridges of Konigsberg puzzle in 1736, it was first brought up for discussion.
A path known as an Euler path is one that utilises every edge in the graph once and only once. It doesn't have to return to the starting point because it is a path.
A circuit that utilises every edge in the diagram once is known as an Euler circuit. As it is a circle, it should start and terminate at the same vertex
The euler path of the given graph is CDBFADF.
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Find the sum of the measures of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem.
the sum of the measures of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem is 720.
Polygon interior angles = (n-2)×180
Hexagon has 6 sides.
N = 6
= (6 - 2)×180
= 4 × 180
= 720
Therefore, the sum of the measures of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem will be 720.
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4*6=23
6*2=31
8*2=14
8*4=?