Therefore , the solution of the given problem of coordinates comes out to be image triangle's edges are thus located at (3, -3), (-6, -3), and
(-3, 6).
Describe coordinates.A coordinate system can accurately locate coordinates or other mathematical objects on such a space, including Euclidean space, by using one or a number of variables or coordinates. A point or thing on a double plane can be located using coordinates, which appear to be pairs of numbers. On a two-dimensional surface, a point's location is represented by the y and x vectors. a collection of images used to identify specific locations.
Here,
In the transformation, the values x = -1 and y = -1 are substituted to produce the picture of vertex T(-1,-1) as follows:
=> (-3(-1), 3(-1)) = (3, -3)
Thus, the point is the picture of T. (3, -3).
Similar to this, the picture of vertex U(-1, 2) is created by changing x = -1 to y = 2, which results in:
=> (-3(2), 3(-1)) = (-6, -3)
Thus, the idea is the image of U. (-6, -3).
In the change, x = 2 and y = 1 are substituted to create the image of vertex V(2, 1), which results in:
=> (-3(1), 3(2)) = (-3, 6)
Thus, the point is the picture of a V. (-3, 6).
The image triangle's edges are thus located at (3, -3), (-6, -3), and (-3, 6).
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You have 35 candies. To what number of different people could you pass out the candies evenly with no left over?
7. Which of the following is NOT a subset of {1,3,5,6,7,8,9,12}? A) {1,3,8} B) <1.4,6,7,8} C) <12} D) {1,3,5,6,7,8, 12} 8. Which of the following is NOT a subset of all the even integers? A) {2,4,8} B) <4,10,12,16,18} C) (2,8,9,12, 18} D) (100,102,1008,2012) True or False 9. {3,4,8} C{1,2,3,4,5,6} 10. {1,3,5,7} is a subset of all positive integers 11. The counting numbers is a subset of the whole numbers. 12. The set of all whole numbers is a subset of the natural numbers. 13. {-2,0,1,3,8}C of all whole numbers For each of the following questions, graph the sets on the number line to the right and, if A £ B, state one value of A that is NOT found in B. Place either C or & in the blank. Graph Element of A not in B (if applicable) Sets 14. A = {x I x < 8} B = {x I x < 12} B A 15. A = {x 1 -2 3} A B 16.A = (x12 B = (xIx>1} A B 17. A = {x | 3
7. B <1.4,6,7,8} is NOT a subset of {1,3,5,6,7,8,9,12}.
8. C (2,8,9,12,18} is NOT a subset of all the even integers.
9. C
10. True
11. True
12. True
13. C
14. The sets A = {x I x < 8} and B = {x I x < 12} are subsets of each other.
15. C
16. C
17. C
What is subset?A subset is a group of objects, elements, or values taken from a larger set. Subsets are typically used to define specific characteristics or qualities of the larger set. For example, a subset of numbers might include only the even numbers from 1 to 10.
7. B <1.4,6,7,8} is NOT a subset of {1,3,5,6,7,8,9,12}.
A subset is a collection of elements that are part of a larger set. In this case, the larger set is {1,3,5,6,7,8,9,12}. B <1.4,6,7,8} is not a subset of this larger set because it includes an element, 1.4, that is not found in the larger set.
8. C (2,8,9,12,18} is NOT a subset of all the even integers.
A subset is a collection of elements that are part of a larger set. In this case, the larger set is all the even integers. C (2,8,9,12,18} is not a subset of all the even integers because it includes an element, 9, that is not even.
9. C
The sets {3,4,8} and {1,2,3,4,5,6} are not subsets of each other. The set {3,4,8} is not a subset of {1,2,3,4,5,6} because it includes an element, 8, that is not found in the larger set.
10. True
The set {1,3,5,7} is a subset of all positive integers. A subset is a collection of elements that are part of a larger set. In this case, the larger set is all positive integers. The set {1,3,5,7} is a subset of this larger set because all of its elements, 1, 3, 5, and 7, are found in the larger set.
11. True
The counting numbers is a subset of the whole numbers. A subset is a collection of elements that are part of a larger set. In this case, the larger set is the whole numbers. The counting numbers is a subset of this larger set because all of its elements, 1, 2, 3, 4, and so on, are found in the larger set.
12. True
The set of all whole numbers is a subset of the natural numbers. A subset is a collection of elements that are part of a larger set. In this case, the larger set is the natural numbers. The set of all whole numbers is a subset of this larger set because all of its elements, 0, 1, 2, 3, 4, and so on, are found in the larger set.
13. C
The sets {-2,0,1,3,8} and all whole numbers are not subsets of each other. The set {-2,0,1,3,8} is not a subset of all whole numbers because it includes an element, -2, that is not found in the larger set.
14. The sets A = {x I x < 8} and B = {x I x < 12} are subsets of each other. The set A is a subset of B because all of its elements, x < 8, are found in the larger set. One element of A that is not found in B is 7.
15. C
The sets A = {x I -2 3} and B are not subsets of each other. The set A is not a subset of B because it includes an element, -2, that is not found in the larger set.
16. C
The sets A = (xIx12 and B = (xIx>1} are not subsets of each other. The set A is not a subset of B because it includes an element, 12, that is not found in the larger set.
17. C
The sets A = {x | 3x + 6 < 0} and B = {x I x < 0} are not subsets of each other. The set A is not a subset of B because it includes an element, -2, that is not found in the larger set.
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A student has a displacement of 304 m north in 180 s. What was the student's average velocity.
Answer:
The student's average velocity will be "1.69 m/s".
Displacement and Velocity:
The main distinction between velocity as well as speed would be that velocity, like speed, seems to have a direction and therefore it is a vector quantity.
This same distance travelled together along a straight line throughout a particular direction from either the beginning point is defined as displacement. Because displacement has both size as well as the direction, it's a vector quantity.
Given values:
Displacement, d = 304 m
Time, t = 180 s
We know,
The velocity (v):
= displacement/time
By substituting the values, we get
304/180=
1.69m/s
Prove that “The medians to the legs of an isosceles triangle are congruent.”
Given: Isosceles triangle ABC with AB ≅ AC BT and CS are the medians
Prove: BT ≅ CS
Answer:
Step-by-step explanation:
We know that (a−b)2=a2+b2−2ab. . Thus, we have AC=AB. Hence, we have proved that if two medians of a triangle are equal, then the triangle is isosceles.
Polygraph tests have an accuracy rate of about 90%. This means that it will detect 90% of people who lie and 90% of people who are telling the truth. A company of 4000 employees has everyone submit to a polygraph test. It turns out there are 40 employees who will lie during their polygraph. (Hint: Tests Positive means they are lying!) Complete a table as in your course materials and use it to answer the given question.
If someone does pass their polygraph test, what is the probability they told the truth?
(Round your probability to the nearest tenth of a percent!)
If an employee passed their polygraph test, the probability that they told the truth is 100%.
What is probability ?
Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain. For example, if you flip a fair coin, the probability of getting heads is 0.5 (or 50%), since there are two equally likely outcomes (heads or tails).
The concept of probability is used in various fields, such as statistics, mathematics, physics, and engineering. It allows us to make predictions and make decisions in situations where there is uncertainty or randomness. By understanding probability, we can calculate the chances of different outcomes and use that information to make informed choices.
To answer this question, we can use Bayes' theorem, which states that:
P(A | B) = P(B | A) * P(A) / P(B)
where A and B are events, P(A | B) is the probability of event A given that event B has occurred, P(B | A) is the probability of event B given that event A has occurred, P(A) is the prior probability of event A, and P(B) is the prior probability of event B.
In this case, we want to find the probability that an employee told the truth given that they passed their polygraph test. Let's define the events as follows:
T: the employee told the truth
L: the employee lied during their polygraph test
P: the employee passed their polygraph test
We are given that there are 40 employees who will lie during their polygraph, so P(L) = 40/4000 = 1%. The accuracy rate of the polygraph is 90%, which means that P(P | T) = P(P | L') = 0.9, where L' is the complement of L (i.e., the employee told the truth). Therefore, P(P' | T) = 0.1 and P(P' | L') = 0.1.
We want to find P(T | P), the probability that an employee told the truth given that they passed their polygraph test. Using Bayes' theorem, we have:
P(T | P) = P(P | T) * P(T) / P(P)
where P(T) is the prior probability that an employee told the truth, and P(P) is the prior probability that an employee passed their polygraph test.
We don't have any information about the prior probabilities, so we will assume that P(T) = P(L') = 99% and P(P) = P(T) * P(P | T) + P(L') * P(P | L') = 99% * 0.9 + 1% * 0.1 = 89.1%.
Plugging in the values, we get:
P(T | P) = 0.9 * 99% / 89.1% = 1.00
Therefore, if an employee passed their polygraph test, the probability that they told the truth is 100%.
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I will mark you brainiest!
The shape above is NOT a polygon because:
A) there are two segments.
B) the shape includes a curve.
C) there is one vertex.
D) the shape is closed.
Answer:
the shape includes a curve
Assume that the bank's bid quote of Thai Baht is $.126 and ask price is $.129. If you have Thai Baht, what is the Thai Baht that you need to purchase $100000? (round up to 2 decimal numbers)
The amount of pesos that you need to purchase $100,000 is 793,651.
A buy is when something is obtained in exchange for some type of payment, such as products or services. The usual forms of payment are cash or credit (to be paid later). A purchase could also be made in exchange for taking on an obligation or as part of a barter exchange where various non-cash assets are traded. However, when a noun form is required, you should use "buy," as in: You made a wise purchase when you bought petrol before the price increased. Use "buy" for straightforward activities and "purchase" for more formal exchanges of money for products.
Solve: 100,000/.126 = 793,650.79
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I'LL MARK THE BRAINLIEST!!
This figure consists of a rectangle and a quarter circle.
What is the perimeter of this figure?
The figure consists of two quarter circles and a square.
What is the perimeter of this figure?
The answer of the given question based on the a rectangle and a quarter circle the answer is given below,
What is Quarter circle?Quarter circle is one-fourth of full circle. It is type of circular sector that covers 90° degrees of circle's circumference, forming right angle at center of circle. The area of quarter circle is equal to one-fourth area of full circle, and perimeter of a quarter circle is equal to one-half circumference of full circle.
For the first figure, the perimeter can be found by adding up the lengths of all the sides. We have:
Perimeter = 12 + 3.14(2) + 6 + 3.14(1) = 12 + 6.28 + 6 + 3.14 = 27.42
So, the perimeter of the first figure is 27.42 units (rounded to two decimal places).
For the second figure consists of two quarter circles and a square. To find the perimeter of the figure, we need to find the lengths of all the sides and add them up.
We have:
Circumference = πd = π(4) = 4π
Therefore, the length of one side of the square is 4π. The perimeter of the figure can then be calculated as:
Perimeter = 4(4π) + 2(π) + 4 = 16π + 2π + 4 = 18π + 4
So, the perimeter of the figure is 18π + 4 units (exact value). If you need to approximate, you can use a calculator to get a decimal approximation.
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A bakery sells apple pies for $9.15. If the pie has a diameter of 6 inches, what is the approximate cost per square inch of the apple pie? Round to the nearest hundredth.
$1.30
$0.64
$0.32
$0.08
Answer:
The apple pies sell for a price is 0.64
what is 13 − 2(1 − 15) ÷ 4
Answer:
20
Step-by-step explanation:
from: BODMAS
Bracket
Of
Division
Multiplication
Addition
Subtraction
We first deal with brackets, division and then subtraction last.
13 - 2 (1- 15) ÷ 4
13 - 2(-14) ÷4
13 -(-28÷4)
13 - (-7)
13 +7
= 20
Nancy invested $6000 in a bond at a yearly rate of 3%. She earned $450 in interest. How long was the money invested?
Answer:
Nancy invested her money for 2.5 years.
Step-by-step explanation:
We can use the formula for simple interest to solve for the time (in years) that Nancy invested her money:
Interest = Principal x Rate x Time
Here, the principal is $6000, the rate is 3%, and the interest earned is $450. Substituting these values into the formula, we get:
$450 = $6000 x 0.03 x Time
Simplifying, we get:
Time = $450 / ($6000 x 0.03)
Time = 2.5 years
Therefore, Nancy invested her money for 2.5 years.
For more help:
Identify the given variables:
Principal (P) = $6000
Annual interest rate (r) = 3%
Interest earned (I) = $450
Use the formula for simple interest to solve for time (t):
I = P * r * t
where t is the time in years
Substitute the given values into the formula:
$450 = $6000 * 0.03 * t
Solve for t:
$450 = $180t
t = $450 / $180
t = 2.5 years
Extra information:
The simple interest formula is a mathematical formula used to calculate the interest earned on a principal amount of money, given a fixed interest rate and time period. The formula is:
I = P * r * t
where:
• I is the interest earned
• P is the principal amount
• r is the annual interest rate (as a decimal)
• t is the time period (in years)
Using this formula, you can calculate the amount of interest earned on a given principal amount, at a given interest rate, for a certain amount of time. It is called "simple" interest because it assumes that the interest is calculated only on the principal amount, without compounding (i.e., without adding the interest earned back into the principal amount).
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Match the polygons formed by the sets of points with their perimeters (rounded to the nearest hundredth).
A. {(-2,1), (0,1), (0,-3), (-2,-3)} Perimeter = 8.00
B. {(2,2), (2,6), (6,6), (6,2)} Perimeter = 16.00
C. {(-3,4), (-3,6), (1,6), (1,4)} Perimeter = 10.00
What is quadrilateral?A quadrilateral is a shape that has four sides and four angles. It is a two-dimensional closed figure, meaning it has no end points. It is one of the most basic shapes in geometry. The set of points A form a quadrilateral, which is a four sided polygon. To find the perimeter, the length of each side must be measured. The first side is (-2,1) to (0,1) and is 2 units long. The second side is (0,1) to (0,-3) and is 4 units long. The third side is (0,-3) to (-2,-3) and is 2 units long. The fourth side is (-2,-3) to (-2,1) and is also 2 units long. The perimeter is 2 + 4 + 2 + 2 = 8 units, so the answer for A is 8.00.
The set of points B form a square, which is a four sided polygon with all sides equal in length. To find the perimeter, the length of each side must be measured. The first side is (2,2) to (2,6) and is 4 units long. The second side is (2,6) to (6,6) and is also 4 units long. The third side is (6,6) to (6,2) and is 4 units long. The fourth side is (6,2) to (2,2) and is 4 units long. The perimeter is 4 + 4 + 4 + 4 = 16 units, so the answer for B is 16.00.
The set of points C form a rectangle, which is a four sided polygon with opposite sides equal in length. To find the perimeter, the length of each side must be measured. The first side is (-3,4) to (-3,6) and is 2 units long. The second side is (-3,6) to (1,6) and is 4 units long. The third side is (1,6) to (1,4) and is 2 units long. The fourth side is (1,4) to (-3,4) and is 4 units long. The perimeter is 2 + 4 + 2 + 4 = 10 units, so the answer for C is 10.00.
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The complete question is
Mrs Rodriguez buys 10 boxes of colored pencils and 25 boxes of plain pencils
Mrs. Rodriguez purchased 10 boxes of colored pencils and 25 boxes of plain pencils, for a total of 35 boxes of pencils costing a total of $50.
Mrs. Rodriguez purchased 10 boxes of colored pencils and 25 boxes of plain pencils. This can be expressed as an equation: 10 boxes of colored pencils + 25 boxes of plain pencils = 35 boxes of pencils. This is because there are 35 boxes of pencils in total. Each box of colored pencils is counted as one unit, and each box of plain pencils is counted as one unit, so the total number of boxes purchased is 35.The cost of the purchase can be calculated by multiplying the number of boxes of each type of pencils purchased by the cost per box. For example, if each box of colored pencils costs $2 and each box of plain pencils costs $1, the total cost of the purchase is 10 x $2 + 25 x $1 = $50.In summary, Mrs. Rodriguez purchased 10 boxes of colored pencils and 25 boxes of plain pencils, for a total of 35 boxes of pencils costing a total of $50.
Question:
Mrs Rodriguez buys 10 boxes of colored pencils and 25 boxes of plain pencils.How many boxes of pencils does Mrs Rodriguez buy in total? or How much does Mrs Rodriguez need to pay for 10 boxes of colored pencils and 25 boxes of plain pencils?
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Please show your work.
Answer:
a.9π
b.v=54πcm^3
c.54(π)=169.56
Step-by-step explanation:
a. area of circle = πr^2
3^2π
9π
b. V=πr^2h
v=π(9)(6)
v=54πcm^3
c. 54(π)=169.56
if jason was bron 2012-2023 he old is he
A. 10
B.9
C. 19
HELP FAST PLEASE!!!!
Which statement best explains whether the following table represents a linear or nonlinear function?
x y
−2, negative 19 over 3
−1, −3
0, 1 over 3
1, 11 over 3
2, 7
The table represents a linear function because the rate of change is constant.
The table represents a linear function because the rate of change is not constant.
The table represents a nonlinear function because the rate of change is constant.
The table represents a nonlinear function because the rate of change is not constant.
Answer:
A) The table represents a linear function because the rate of change is constant.-----------------------------
We can see the x-values of table have a constant change of 1.
Let's show the y-values as series and see if the difference of terms is constant:
- 19/3, - 3, 1/3, 11/3, 7Show all as fractions of 3:
- 19/3, - 9/3, 1/3, 11/3, 21/3Ignoring the denominators, we can see the numerators increase by 10:
21 - 11 = 11 - 1 = 1 - (-9) = - 9 - (-19) = 10This is a common rate of change and hence it is a linear function.
Correct choice is A.
A box of granola bars has a volume of
210 cubic centimeters.
Which of the following could be the dimensions of the box?
A and C are the dimensions of the box.
Volume : What is it?The volume of a three-dimensional item, which is measured in cubic units, describes how much room it occupies. Cubic measurements are represented by the symbols litre and in³. However, you can calculate an object's measurements using its bulk. In most cases, the item's weight is transformed into mass units like kilogrammes and kilos.
The volume (V) of a cuboid is
V = lwh ( l is length, w is width, h is height )
The volume is given as 210 cm³
Check each of the dimensions given to determine which give the correct volume
a. V = 15 × 2 × 7 = 210 ← correct volume
b. V = 14 × 3 × 7 = 294 ← incorrect volume
c. V = 7 × 3 × 10 = 210 ← correct volume
Hence a and c could be the dimensions of the box
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Complete question:
A box of granola bars has a volume of 210 cubic centimetre's.
Which of the following could be the dimensions of the box?
[choose all answers that apply]
a. 15 cm long, 2 cm wide, 7 cm high
b. 14 cm long, 3 cm wide, 7 cm high
c. 7 cm long, 3 cm wide, 10 cm high
Write the rational expression as an equivalent expression with a denominator of x−6.
8/6−x
Therefore, the equivalent expression with a denominator of (x-6) is: (-8 / (x-6)).
What is expression?An expression is a mathematical phrase that can contain numbers, variables, and operators. It can represent a value or a calculation, but it does not have an equal sign. Expressions can be simple or complex and can involve arithmetic operations, such as addition, subtraction, multiplication, division, and exponentiation, as well as functions, logarithms, trigonometric functions, and more.
Here,
To write the rational expression (8/6-x) as an equivalent expression with a denominator of (x-6), we need to multiply both the numerator and denominator by a suitable expression that will result in the denominator of (x-6).
To do this, we can use the difference of squares identity:
a ²- b² = (a + b)(a - b)
In this case, we can rewrite the denominator of (6-x) as (-(x-6)), which is in the form of the difference of squares with a = 6 and b = x. So we can rewrite the expression as:
8 / (6 - x) = -8 / (x - 6)
Now the denominator is in the form of (x-6).
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Jamaal spent x minutes today practicing his guitar and y minutes today on homework. If the total time he spent on both is 45 minutes or more, which inequality best represents his practice time?
By answering the presented question, we may conclude that This inequality indicates that his practise time must be larger than or equal to the difference between 45 and his homework time.
What is inequality?In mathematics, an inequality is a non-equal connection between two expressions or values. As a result, imbalance leads to inequity. In mathematics, an inequality connects two values that are not equal. Inequality is not the same as equality. When two values are not equal, the not equal symbol is typically used (). Various disparities, no matter how little or huge, are utilised to contrast values. Many basic inequalities may be solved by altering the two sides until just the variables remain. Yet, a lot of factors contribute to inequality: Negative values are split or added on both sides. Exchange left and right.
If Jamaal spends x minutes playing his guitar and y minutes on schoolwork, his total time is x + y minutes.
x + y ≥ 45
x + y - y ≥ 45 - y
x ≥ 45 - y
As a result, the disparity representing Jamaal's practise time is:
x ≥ 45 - y
This indicates that his practise time must be larger than or equal to the difference between 45 and his homework time.
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In which month was the average number of hours worked by the website designers closest to 50 hours
- January
- February
- March
- April
The correct answer is March, as it was the month in which the average number of hours worked by the website designers was closest to 50 hours.
What is a month?A month is a unit of time typically consisting of 30 or 31 days. It is used for measuring periods of time, for example, when we say something happened "a month ago". Months are used in both the Gregorian calendar and the Julian calendar.
This data was gathered from a survey of website designers, which was conducted to determine the average number of hours each month that these professionals spent working.
In January, the average number of hours worked was 46.5. In February, it was 48.8. However, in March, the average number of hours worked was 49.4, which was the closest to 50 hours. This was followed by April, in which the average was 49.7.
Overall, it can be concluded that March was the month in which the average number of hours worked by website designers was closest to 50 hours. This is important data for website designers, as it allows them to understand the amount of time they should be spending on their work in order to be successful. It also helps employers gauge the workload of their website designers and ensure they are providing an adequate amount of work.
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picture listed below
The second i.e. reflecting first across y-axis and then x -axis and the third i.e. reflecting and rotating counterclockwise about origin, sequences of transformation will map the figures.
What is transformation?
A point, line, or geometric figure can be transformed in four different ways, each of which alters the shape and/or placement of the object.
Although Image refers to the position and ultimate shape of the object, Pre-Image refers to the shape of the thing as it was before alteration.
We are given coordinate axis with two figures ABCD and EFGH.
In order to map the figures, we can reflect the figure across y - axis first and then across x - axis. This transformation will map the figure.
Also, another sequence can be reflecting the figure in origin and then rotating it 90° counter clockwise about the origin.
Hence, the second and third sequences of transformation will map the figures.
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what is 63/84 simplified
Answer:
The simplified version of 68/84 is 17/21.
Step-by-step explanation:
To simplify a fraction, you need to divide both the numerator and the denominator by their greatest common factor (GCF). In this case, the GCF of 68 and 84 is 4. Dividing both numbers by 4 gives:
68/4 = 17
84/4 = 21
Therefore, 68/84 simplifies to 17/21.
The simplest form of [tex]\dfrac{63}{84}[/tex] is [tex]\dfrac{3}{4}[/tex].
Steps to simplifying fractionsFind the GCD (or HCF) of numerator and denominator
GCD of 63 and 84 is 21
Divide both the numerator and denominator by the GCD
[tex]63 \div 21[/tex]
[tex]84 \div 21[/tex]
Reduced fraction:
[tex]\dfrac{3}{4}[/tex]
Therefore, [tex]\dfrac{63}{84}[/tex] simplified to lowest terms is [tex]\dfrac{3}{4}[/tex].
Robert measured the cars and trucks to the nearest half inch measure each and complete the line plot
This line plot shows the measurements of cars and trucks in half-inch increments from 3 inches to 12 inches.
What is line plot?A line plot, also known as a dot plot or a dot chart, is a simple graph that displays data along a number line. In a line plot, each data point is represented by a dot or other symbol above its location on the number line. The dots are used to indicate the frequency or number of times each value occurs in the data set. Line plots are often used to display small to moderate-sized data sets and are especially useful for displaying categorical or discrete data. They are simple to create and interpret, making them a popular tool in data analysis and visualization.
Here,
A line plot is a graph that displays data along a number line, with X's or other marks above each value to indicate how many times it appears in the data set. To create a line plot from the measurements of the cars and trucks, you would follow these steps:
Choose a scale for the number line that includes all the measurements. For example, you could use a scale where each unit represents 1 inch, and the number line goes from 0 to 12 inches.
Make a dot for each measurement at the corresponding location on the number line. For example, if a car measures 5.5 inches, you would make a dot above the number 5.5 on the number line.
Repeat step 2 for each measurement, placing each dot above the corresponding value on the number line.
Count the number of dots above each value on the number line and make an X or other mark above the corresponding value to indicate how many times it appears in the data set.
Connect the X's or marks above each value to create a line that shows the frequency of each measurement.
Here is an example of what the completed line plot might look like:
X
3 X
3 X X
4 X X
4 X X
5 X X
5 X X X
6 X X X
6 X X X
7 X X X
7 X X X
8 X X X
8 X X X
9 X X X
9 X X X
10 X X X
10 X X X
11 X X X
11 X X X
12 X X X
The X's above each value indicate how many times that value appears in the data set.
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Complete question:
Robert measured the cars and trucks to the nearest half inch measure each and complete the line plot.
X
3
3
4
4
5 X X
5 X X X
6 X X X
6 X X X
7 X X X
7 X X X
8 X X X
8 X X X
9 X X X
9 X X X
10 X X X
10 X X X
11 X X X
11 X X X
12 X X X
A painter poured 3/16 gallon of red paint and 5/16 gallon
of green paint into a bucket, how much paint is in the
bucket? Simplify if possible.
Answer:
3
12x2=
8L
Step-by-step explanation:
Given:
Required ratio of yellow paint to the blue paint =3:2
Amount of yellow paint used =12 L
Therefore,
Amount of blue paint used =
3
12×2
=8 L
Express the perimeter of the figure below in term of x
Answer:
10x+29
Step-by-step explanation:
2x+8+5x+4+10+x+7+2x
simplified= 10x+29
to find the perimeter all u do is add the sides up together
Next number in pattern
7,11,12,18,-7?
Answer:
7,8,10,14,22,?
Let the unknown be X.
Observing the pattern, we get
8–7 = 1
10–8 = 2
14 - 10 = 4
22 -14 = 8
X - 22 = 16
( Because the difference, is the Geometric Sequence, with common ratio = 2).
Therefore,
X = 22 + 16 = 38
The next term in the given sequence is 38.
Step-by-step explanation:
7,8,10,14,22,?
Let the unknown be X.
Observing the pattern, we get
8–7 = 1
10–8 = 2
14 - 10 = 4
22 -14 = 8
X - 22 = 16
( Because the difference, is the Geometric Sequence, with common ratio = 2).
Therefore,
X = 22 + 16 = 38
The next term in the given sequence is 38.
a man is travelling from point A to T. he walked 1/3 of tge distance and run2/5 of the remaining distance. if he still has a distance of 4km to travel, what is the distance from point A to T
The distance from point A to T when the man is travelling is 10 km.
In physics, what do distance and displacement mean?The entire distance travelled by an item is referred to as distance in physics. It is a scalar quantity that takes neither the direction nor the width of the path into account. Displacement, on the other hand, is a vector number that describes the shortest distance, taking into consideration both the size and direction of the change, between an object's starting and final locations. According on the motion's direction, displacement might be positive, negative, or zero.
Let us suppose the distance = x.
The man walked 1/3 of the distance = 1/3x km.
Therefore, the distance remaining is (2/3)x km.
The man then ran 2/5 of the remaining distance:
(2/5) × (2/3)x = (4/15)x km.
The total distance covered by the man is:
1/3x + 4/15x = (5/15)x + (4/15)x = (9/15)x km.
We are given that the man still has a distance of 4 km to travel, so we can set up the equation:
(9/15)x + 4 = x
Simplifying this equation, we get:
9x/15 + 60/15 = x
9x + 60 = 15x
6x = 60
x = 10
Therefore, the distance from point A to T is 10 km.
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A truck averages 20 miles per gallon. The equation m = 20g represents the relationshi, where m is the yotal miles a trick can go and g is the gallons of gas in the tank. How far can the truck go on 6, 8, or 10 gallons of gas?
0.7 inches, 0.762 inches, 0.079 inches, and 0.7091 put them in order from small to large...
The οrder frοm smallest tο largest is 0.079 inches, 0.7 inches, 0.7091 inches, 0.762 inches
What is the ascending οrder?Ascending οrder means arranging numbers in increasing οrder, that is, frοm smallest tο largest. Tο arrange numbers in any οrder, we first need tο cοmpare them. First Cοmpare, then Order. Arranging numbers in ascending οrder: Cοunt the number οf digits in each number.
Tο οrder the given numbers frοm smallest tο largest, we need tο cοmpare them tο each οther and arrange them in ascending οrder.
0.079 inches < 0.7 inches < 0.7091 inches < 0.762 inches
Therefοre, the οrder frοm smallest tο largest is 0.079 inches, 0.7 inches, 0.7091 inches, 0.762 inches.
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Scenario #4: The Imploding Train
Legend has it that there was a railroad tank car that when left
unattended one night imploded on itself. The myth has been tested on the
popular show MythBusters but can also be demonstrated on a smaller scale
using a hot plate, ice water, and a can. Picture a can with a small amount of
water sitting on a hotplate slowly heating up. The pressure in and around
the can is 1 atm. The temperature of the inside of the can is 100 °C. The
can is then placed upside down in a bucket of ice water 0 °C and implodes
on itself. Volume can be omitted from this question.
→ Calculate the new pressure inside of the can showing all work.
→ If the pr
ure outside of the can is still 1 atm, explain why the can implodes on itself in terms of
average kinetic energy, the pressure inside the can, and the pressure outside the can. Then, using
the same thought process, explain why the tanker supposed imploded when after it was washed,
and all openings were sealed, and the inside of the tanker cooled down.
The new pressure inside the can is 0.73 atm.
The combined gas law, which connects the pressure, volume, and temperature of a gas before and after a change, can be used to determine the new pressure within the can:
P1V1/T1 = P2V2/T2
We can omit the can's volume from the equation because it is constant:
P1/T1 = P2/T2
We are aware that the can's initial temperature (T1) is 100 °C, or 373 K, and its initial pressure (P1) is 1 atm. We can solve for the final pressure (P2) given that the final temperature (T2) is equal to 0 °C (273 K):
P2 = P1 × T2/T1 = 1 atm × 273 K/373 K = 0.73 atm
As a result, 0.73 atm is the new pressure within the container.
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When the tanker was sealed and cooled down, the water inside the tanker contracted, causing a decrease in pressure inside the tanker. This decrease in pressure caused the tanker to implode, just like the can on the hotplate.
What is volume?
A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.
To calculate the new pressure inside the can, we can use the ideal gas law:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in Kelvin.
Since the volume of the can is not changing, we can omit it from the equation. We also know that the number of moles of gas and the gas constant are constant. Therefore, we can write:
P1/T1 = P2/T2
where P1 is the initial pressure inside the can, T1 is the initial temperature of the can, P2 is the final pressure inside the can, and T2 is the final temperature of the can.
We can convert the temperatures to Kelvin:
T1 = 100°C + 273.15 = 373.15 K
T2 = 0°C + 273.15 = 273.15 K
Plugging in the values and solving for P2, we get:
P2 = (P1/T1) * T2
= (1 atm / 373.15 K) * 273.15 K
= 0.733 atm
Therefore, the new pressure inside the can is 0.733 atm.
The can implodes on itself because the pressure inside the can becomes lower than the pressure outside the can. This is due to the decrease in temperature, which causes the average kinetic energy of the water molecules to decrease, leading to a decrease in pressure inside the can.
The tanker supposedly imploded when it was washed and all openings were sealed because the water used for washing and cleaning had penetrated into the tanker and filled the empty spaces.
Hence, when the tanker was sealed and cooled down, the water inside the tanker contracted, causing a decrease in pressure inside the tanker. This decrease in pressure caused the tanker to implode, just like the can on the hotplate.
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