The converse of the statement x⇒y is y⇒ x, So correct option is A.
What do you mean by converse statement?A converse statement is a type of logical statement in mathematics that takes a conditional statement and switches its hypothesis and conclusion. The converse of a statement is formed by interchanging the hypothesis and conclusion of the original statement. In other words, the converse of a statement takes the form "If B, then A," whereas the original statement takes the form "If A, then B."
For example, consider the statement "If it rains, then the roads are wet." The converse of this statement would be "If the roads are wet, then it rains." It's important to note that the converse of a statement may not always be true, even if the original statement is true.
In mathematical proofs, a converse statement can sometimes be used to support a proof, but it is not always reliable on its own. This is because the converse of a statement only establishes a logical relationship between two statements if both the original statement and its converse are true. If either the original statement or its converse is false, then the converse cannot be used to make a conclusion about the relationship between the two statements.
In conclusion, a converse statement is a type of logical statement that takes a conditional statement and switches its hypothesis and conclusion. It's important to note that the converse of a statement may not always be true, and its validity depends on the validity of both the original statement and its converse.
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read the question on the paper please
The dimensions for a square that has a perimeter of 14 units and area or 49 units² will be 7 units by 7 units.
How to calculate the sidesThe perimeter of a shape is simply the total length of the boundary that the shape has. It should be noted that in this case, it's gotten by adding all the length that the shape has.
The area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.
In this situation, the square has a perimeter of 14 units and area or 49 units². The dimensions will be 7 units by 7 units.
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please help me determine whether y is a function of x and if the function is one-to-one
Answer:
y is not a function of x.
Step-by-step explanation:
To know if this is a function, first look in the x column.
If there are no repeated numbers, its a function. Here there is a repeat. 1 is listed twice.
Since there are two different y's that go with the x, when x is 1, this is not a function.
Because (1,8) and (1,12) are the problem. This is not a function because even just one x has more than one y.
x=2 x=3 up two over three
The values of {x} are given above upto 2³.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that x = 2 and x = 3.
We can write -
2³ = 8
x = 1 x = 2
x = 3 x = 4
x = 5 x = 6
x = 7 x = 8
Therefore, the values of {x} are given above upto 2³.
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Ms. Florinda is a kindergarten teacher. She buys 100 pencils and wants to give 2 pencils to each of her students. She has 2 classes, a class with 22 students and a class with 19 students. Part A Write an expression for how many pencils she has left after giving them out to her students. A. 100 − 2 × ( 22 − 19 ) 100 - 2 × ( 22 - 19 ) B. 100 − 2 × 22 − 19 100 - 2 × 22 - 19 C. 100 − 2 × 22 − 2 × 19 100 - 2 × 22 - 2 × 19 D. 100 − 22 − 19 100 - 22 - 19 Part B Does she have enough pencils to give each of her students 2? Choose... , she has Choose... Choose... than she needs.
The expression for the number of pencils she has left will be 100 - 2 × 22 - 2 × 19. Then the correct option is C. And yes, she has enough pencils.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Ms. Florinda is a kindergarten educator. She purchases 100 pencils and needs to give 2 pencils to every one of her understudies. She has 2 classes, a class with 22 understudies and a class with 19 understudies.
Then the expression is given as,
⇒ 100 - 2 × (22 + 19)
⇒ 100 - 2 × 22 - 2 × 19
⇒ 100 - 44 - 38
⇒ 18
The expression for the number of pencils she has left will be 100 - 2 × 22 - 2 × 19. Then the correct option is C. And yes, she has enough pencils.
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How much time is given to take the test (before 2005)?
Answer:
over 18
Step-by-step explanation:
Answer:
increased the maximum score from 1600 to 2400: 800 points were awarded for math, reading, and writing sections.
Step-by-step explanation:
which of these tables of values represents a linear function that has a greater rate of change than the linear function y = 5x + 2? select THREE that apply
Answer:C
Step-by-step explanation:
Carlos tried to shade all the factors of 30 on the hundred chart, but he made a mistake.
1 3 5 15
What mistake did Carlos make?
On solving the provided question, we can say that all the factors of 30 on the hundred chart are = 1,2,3,5,6,10,15,30 and mistake he made was he didn't mark = 2,6,10,30
What is factor ?In mathematics, the integer m serves as the divisor (also known as factor n) of an integer n, which may be multiplied by the integers to get n. We may also state that n in this situation is a multiple of m. A number without a residue that divides another number is said to be a factor. In other words, if you multiply two integers to create a product, the numbers you multiply are factors of the product since the result is divisible by the numbers you multiply. Factors can be found using either division or multiplication.
all the factors of 30 on the hundred chart are = 1,2,3,5,6,10,15,30
mistake he made was he didn't mark = 2,6,10,30
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What is the meaning of the y-intercept in the context of the problem? A. The tablet starts with 30 percent of battery remaining. B. After 30 hours, the tablet will have 0 battery left. C. The tablet will not have any battery remaining after 3 hours. D. The tablet loses 3 percent of battery every hour.
Solving provided question, we can say that equation of slope intercept will be => y - 30 = mx - 3m
what is slope intercept?In mathematics, the intersection point is the place on the y-axis where the slope of the line crosses. a place where the y-axis crosses on a line or curve. Y = mx+c, where m stands for the slope and c for the y-intercept, is used as the equation for the straight line to show this. The slope (m) of the line and its y-intercept (b) are emphasised in the equation's intercept form. When an equation has the intercept form (y=mx+b), the slope is m and the y-intercept is b. Some equations can also be rewritten such that they seem to be slope intercepts. If y=x is rewritten as y=1x+0, for instance, the slope and y-intercept are both changed to 1.
from the provided graph,
the coordinates are (3,30)
equation of slope intercept will be
y - 30 = m(x - 3)
y - 30 = mx - 3m
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Two quantities x and y vary inversely, y=4 when x=7. Identify the value of constant variation, a, for the function.
y= ___/x
I will mark you brainliest!!
Answer:
28
Step-by-step explanation:
The constant variation, a, is equal to the product of x and y when they are both known. In this case, when x = 7 and y = 4, the constant variation is 4 * 7 = 28. So, the equation for the inverse variation is y = 28 / x.
Find the Volume of the following sphere.
A. 1436.03 ft3
B. 58.61 ft3
C. 87.92 ft3
D. 205.15 ft3
Answer:
A. 1436.03 ft³
Step-by-step explanation:
V = (4/3)πr³
V = (4/3)(3.14)(7 ft)³
V = 1436.03 ft³
Question
The product of two consecutive positive integers is 42. Find the integers.
PLEASE HELP DONT IGNORE.
Bianca is ordering food at a local taco truck. She wants a soda which costs $1.75. Tacos cost $0.75 each.
Write an equation, in slope-intercept form, that represents the total cost (y) for x number of tacos and a drink.
The slope intercept form of the equation is given as y = 0.75x + 1.75
How to write the slope intercept formThe slope-intercept form of a line is given by y = mx + b, where m is the slope and b is the y-intercept.
In this case, the slope (m) is the cost per taco, which is $0.75. The y-intercept (b) is the cost of the drink, which is $1.75.
So, the equation that represents the total cost (y) for x number of tacos and a drink is:
y = 0.75x + 1.75
This equation states that for every taco ordered (x), the cost will increase by $0.75, and the minimum cost will always be $1.75 for the drink.
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Consider the expression 4x² + x + 3.
Complete 2 descriptions of the parts of the expression.
1. The entire expression is a sum with
2. The coefficients are
V
Answer: 4 and 1
Step-by-step explanation:
the expression 4x² + x + 3.
the coefficients are 4 and 1
so the answer is 4 and 1
because 4 is the quadratic coefficient and 1 is the primary term coefficent
Answer:
3 terms
4 and 1 coefficients
Step-by-step explanation:
The graph below shows a linear function and an exponential function.
x intercept is 1,4 don't have image
What is the minimum y-value after which the exponential function will always be greater than the linear function?
y = 1
y = 3
y = 4
y = 5
y=4 is the minimum y-value after which the exponential function will always be greater than the linear function.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
From the graph we can see that in the interval [0,1] the value of y is less than 1.
In the interval [1,2] the value of y value is 2 to 4.
In the interval [2,infinity) the graph is going up, and the value of y is greater than or equal to 4.
Therefore, the graph going up after y=4 above the line.
Therefore, the minimum y-value is 4 after which the exponential function will always be greater than the linear function.
Hence, y=4 is the minimum y-value after which the exponential function will always be greater than the linear function.
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The rectangular floor of Ms. Ragan's closet is completely covered with carpet squares. Each carpet square covers 1 square foot of the floor. There are 4 rows and each row has 16 carpet squares. What is the area of the floor of this closet in square feet?
The area of the rectangular closet is given by the equation A = 64 feet²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangular closet be represented as A
Now , the equation will be
The area of 1 carpet square = 1 foot²
The number of rows = 4 rows
The number of carpet square in each row = 16 carpet squares
So , the total number of carpet squares in 4 rows = number of rows x number of carpet square in each row
Substituting the values in the equation , we get
The total number of carpet squares in 4 rows = 16 x 4 = 64 carpet squares
So , the area of 64 carpet squares = 64 x area of 1 carpet square
Substituting the values in the equation , we get
The area of the rectangular closet A = 64 feet²
Hence , the area of the rectangular floor is 64 feet²
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which of the following is the shortest distance from a to b
The shortest distance from A to B in the figure is length AB, So Option A is correct
What is displacement ?The smallest (straight line) distance between a body's beginning position and its final location—represented by an arrow pointing from starting position to final position—is referred to as a body's displacement as it moves from one position to another. Being a vector quantity, it.
Given that,
A quadrilateral figure ABCD
and it has one diagonal BD
Shortest distance from A to B =?
Possible paths, For A to B
1. Directly A to B
Distance = AB
2. A to D then D to B
Distance = AD + DB
3. A to D then D to C and then C to A
Distance = AD + DC + CA
It can be seen that distance covered is lesser in case 1 in compare to case 2 & 3
Hence, the shortest distance is AB
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round to the nearest whole number !
round 53/6 to the nearest whole number
round 203/10 to the nearest whole number
round 73/5 to the nearest whole number
53/6, 203/10 and 73/5 rounded to the nearest whole number are 9, 20 and 15 respectively
How to round numbers to the nearest whole number?Approximation is the process of using rounded values when presenting numerical data and making rough calculations.
The digits 1,2,3 and are rounded down and digits 5,6,7,8 and 9 are rounded up.
The numbers can be rounded to the nearest whole number as follows:
53/6 = 8.83 = 9 (round up)
203/10 = 20.3 = 20 (round down)
73/5 = 14.6 = 15 (round up)
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Ralph has 3/4 gallon of paint. He wants to store all of the paint equally among 5 containers. How much paint, will Ralph store in each container
Answer:
Below
Step-by-step explanation:
He wants to DIVIDE the 3/4 gallon into 5 bux
so divide 3/4 by 5
3/4 / 5 = (3/4) / (5/1) = 3/4 * 1/5 = (3*1) / ( 5*4) = 3/20 gallon per bux
The amount of paint that Ralph store in each container is 3/20 gallon.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Total amount of paint that Ralph has = 3/4 gallon
He wants to store all of the paint equally among 5 containers.
If the paint is stored in 5 containers,
Amount of paint in each container = 3/4 ÷ 5
= 3/4 × 1/5
= 3/20
Hence 3/20 gallon of paint is stored in each container.
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Given: P = 56 feet, DC = 16 feet, what is the length of BC?
Answer:
12 feet
Step-by-step explanation:
this is a rectangle! because DC = 16 feet, you know that AB is also equal to 16 feet
therefore, DA + CB = 24
because ABCD is a rectangle, you know that DA = CB and you can use substitution to say that CB + CB = 24
2CB = 24
CB = 12
Five percent of the workers in a firm employing a total of 2000 men earn less than Rs 2.00 per hour, 450 earn from Rs.2 to 2.24 per hour, 35 percent earn from Rs.2.25 to Rs.2.49 earn from Rs.2.50 to Rs.2.74 per hour, 12 percent earn from Rs.2.75 to Rs.2.99 per hour and the rest earn Rs.3 or more per hour. What is the median wage?
The median wage of workers in the firm is given as follows:
Rs 2.37 per hour.
How to obtain the median of a data-set?The median of a data-set is the middle value of a data-set, the value of which 50% of the measures are less than and 50% of the measures are greater than. Hence, the median also represents the 50th percentile of a data-set.
From the data-set in this problem, the median is obtained as follows:
Less than Rs 2 per hour -> 5% -> 5th percentile.450 earn from Rs 2 to Rs 2.24 per hour -> 5 + 22.5 = 27.5th percentile.35% percent earn from Rs 2.25 to Rs 2.49 per hour -> 27.5 + 35 = 62.5%. -> above 50%.Hence the median class is:
Rs 2.25 to Rs 2.49 per hour.
The median is the middle value of the class, hence:
(2.25 + 2.49)/2 = Rs 2.37 per hour.
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Find the average rate of change of f(x) = 7x² - 6 on the interval [4, b]. Your answer will be an expression involving b
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
[tex]\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)= 7x^2-6 \qquad \begin{cases} x_1=4\\ x_2=b \end{cases}\implies \cfrac{f(b)-f(4)}{b - 4} \\\\\\ \cfrac{(7b^2-6)~~ - ~~(7(4)^2-6)}{b-4}\implies \cfrac{7b^2-6~~ - ~~(112-6)}{b-4} \implies \cfrac{7b^2-112}{b-4}[/tex]
[tex]\cfrac{7(b^2-16)}{b-4}\implies \cfrac{7(b^2-4^2)}{b-4}\implies \cfrac{7~~\begin{matrix} (b-4) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(b+4)}{~~\begin{matrix} b-4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\implies \boxed{7(b+4)}[/tex]
This expression gives the average rate of change of the function over the interval [4, b].
How is rate of change determined?The average rate of change of a function on an interval is equal to the rise (change in the y-value) divided by the run (change in the x-value) over that interval.
For f(x) = 7x² - 6 on the interval [4, b], the average rate of change can be found by calculating the slope of the secant line connecting the points (4, f(4)) and (b, f(b)).
Therefore, the average rate of change of f(x) = 7x² - 6 on the interval [4, b] is:
(7b² - 6 - (7(4)² - 6)) / (b - 4) = (7b² - 28) / (b - 4)
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The barber cuts 32 haircuts in 2 days. Determine the rate for a ratio of the two different quantities.
32 over 34 haircuts per day
2 over 34 haircuts per day
32 over 2 haircuts per day
2 over 32 haircuts per day
Since the barber cuts 32 haircuts in 2 days, the rate for a ratio of the two different quantities include the following: C. 32 over 2 haircuts per day.
What is a proportion?In Mathematics, a proportion simply refers to an equation which is typically used to represent the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.
By applying direct proportion to the given information, we have the following mathematical expression:
32 haircuts = 2 days
1 haircut = (32/2) haircut per day
In this context, we can reasonably infer and logically deduce that the barber cuts 16 haircuts in a single day or per day.
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Answer:
C: 32/2
Step-by-step explanation:
i took the exam :)
given m//n find the value of x (x+5) (x-13)
Answer:
X=15
Step-by-step explanation:
Solve the inequality. -3x-4 2 x < [?]
???
Answer:
[tex]x < - 2[/tex]
That the answer.
In fantasy sports, players score points based on how professional athletes perform in real life. In a certain week, an athlete is predicted to score 20.1 points. If the athlete scores only 16.9 points, what is the precent of error, rounded to the nearest whole percent?
Answer:17
Step-by-step explanation:
DON'T TRUST ME
2/5 = 6/x
find the value of x
Answer: x=15
Step-by-step explanation: try cross multiplying
Diana has z gerbils. Jackie has 4 times as many gerbils as Diana.
a) If w stands for the number of gerbils Jackie has, express w in terms of z.
Answer:
Dina =z gerbils
Jacki =4z
W = 4z
Independent:z
Dependeny:w
Step-by-step explanation:
I think it's right
Juanita has a hybrid car that averages 44 miles per gallon. Her car has a 12-gallon tank. How far
can she travel on one full tank of gas?
The car can travel 528 miles on a one full tank gas that averages 44 miles per gallon.
What is average?In mathematics, the central value of a set of data is expressed as the average of a list of data. It is defined mathematically as the ratio of the total number of data points to the number of units in the list. In terms of statistics, the term "mean" also refers to the average of a certain set of numerical data.
Given that, Juanita has a hybrid car that averages 44 miles per gallon.
Her car has a 12-gallon tank.
So, the car travels:
(12) (44) = 528 miles.
Hence, the car can travel 528 miles on a one full tank gas.
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In a survey of 1.600 people who owned a certain type of car, 880 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
The percent of people satisfied with the survey is 55%
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
Given that, in a survey of 1,600 people who owned a certain type of car, 880 said they would buy that type of car again, we need to find what percent of the people surveyed were satisfied with the car,
The percent of people satisfied with the survey = 880 / 1600 × 100
= 55%
Hence, the percent of people satisfied with the survey is 55%
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Ben says that n = 6 is the solution of the equation 7n = 49. Is Ben correct? EXPLAIN.
Answer:
He is incorrect
Step-by-step explanation:
7n = 49
Isolate variable "n" by dividing both sides by 7:
n = 7
Since doing this step makes n to equal 7, [Ben is incorrect to say that n = 6]