The product of any two even integers is even.
What is even and odd number?Odd numbers: An odd number is any natural number that can be written as (2n + 1), where n is any natural number, i.e., a positive integer.
Even numbers: Any natural number that can be written as 2n, where n is any natural number, i.e., a positive integer, is referred to as an even number.
The product of two even numbers is even.
Let us suppose m and n be any integers.
So, 2m and 2k are two even numbers.
Take the product as 2m(2k) = 2(2mk), which is even.
Let the two even integers be x1 and x2.
Let x1 = 2
Let x2 = 6
Therefore, the product of x1 and x2 is
x1 * x2 = 2 * 6 = 12
The product is even since it is divisible by 2.
Hence, the product of any two even integers is even.
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how does each inverse function from part a relate to its original function? describe the relationship in terms of the context for each situation.
The inverse function is the reverse of the original function and relationship between the two functions is determined by the mapping between the inputs and outputs of the original function.
In mathematics, the inverse function is a inverse function of a function is the reverse of the original function.
To understand the relationship between an inverse function and its original function, consider the following example. Suppose we have a function that maps the height of an object to its weight.
The original function would take the height as an input and output the corresponding weight. The inverse function, on the other hand, would take the weight as an input and output the corresponding height.
It is important to note that not all functions have an inverse. A function is only considered to have an inverse if it is a one-to-one mapping, meaning that each input has a unique output.
In summary, If the original function is a one-to-one mapping, then it has an inverse function that can be found by swapping the inputs and outputs.
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There are approximately 1.33 cubic yards in 1 cubic meter. how many cubic meters are in 150 cubic yards
Answer:
Step-by-step explanation:
we have 1.33 cubic yards in 1 cubic meter,
we should find how many cubic meters equals 150 cubic yards.
so for 1.33 =1
150=x
now , we cross multiply
x=150/1.33
x=112.78 that is the answer
question 1what is the number of 6-card hands with three hearts and three spades?
The probability of a 6-card hand with three hearts and three spades is 0.001862, or 1/535
Probability is the mathematics of chance; it is the study of calculating the likelihood of certain outcomes in any given situation.
Here we have to find the probability of a particular 6-card hand consisting of three hearts and three spades is determined first by the fact that there are 13 hearts and 13 spades in a standard deck of 52 cards.
To calculate the probability of a 6-card hand consisting of three hearts and three spades, one must first consider that the order of the cards in a hand does not matter.
The total number of combinations of three hearts and three spades that can be drawn from a standard deck of cards is
=> 4,824.
This number can be calculated by an equation that uses the number of hearts, spades, and cards in a standard deck
=> (13 x 13 x 52).
Then the probability of a 6-card hand consisting of three hearts and three spades is calculated by dividing the number of combinations of three hearts and three spades
=> (4,824) / (2,598,960).
This equation yields a probability of 0.001862, or a 1 in 535 chance of getting a 6-card hand with three hearts and three spades.
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use the circle graph shown below to answer the question.
If 30 sixth graders own birds, how many sixth graders were surveyed?
For given pie chart, 600 sixth graders were surveyed.
What is a pie chart?
The “pie chart” is also known as a “circle chart”, dividing the circular statistical graphic into sectors or sections to illustrate the numerical problems. Each sector denotes a proportionate part of the whole. A pie chart requires a list of categorical variables and numerical variables. To find out the composition of something, Pie-chart works the best at that time. In most cases, pie charts replace other graphs like the bar graph, line plots, histograms, etc.
The total value of the pie is always 100%.
Now,
Given percentage of 6th graders that own birds=5%
and no. of birds they own=30
that means 1% birds are owned by 6 students.
Therefore for 100% students= 6*100=600 6th graders.
Hence,
For given pie chart, 600 sixth graders were surveyed
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4x+8y is less than or equal to 8, 5x+y is less than or equal to 10. Graph the solution set of the following inequalities (and fill in)
The graph of the set of inequalities is given in attachment.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
4x+8y is less than or equal to 8 and 5x+y is less than or equal to 10
4x+8y≤8
5x+y≤10
40x+8y≤80
40x+8y-4x-8y≤80-8
36x≤72
x≤72/36
x≤2
and now plug in x value
4(2)+8y≤8
8y≤0
y≤0
Hence, the graph of the set of inequalities is given in attachment.
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Please help, I need the answer as soon as possible!!!!
the value of a in this expression will be 1/2.
What is a fraction?
If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.
Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.4
The given expression [tex](\frac{m^{1/4} }{6m^{3/4} } )^-1[/tex]
=[tex](\frac{6m^{3/4} }{m^{1/4} } )[/tex]
=6 ([tex]m^{3/4-1/4}[/tex])
=6 ([tex]m^{1/2}[/tex])
a = 1/2
Hence the value of an in this expression will be 1/2.
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Ernest measured a summer camp and made a scale drawing. The sand volleyball court is 4 centimeters wide in the drawing. The actual volleyball court is 8 meters wide. What is the drawing's scale factor?
The scale factor is greater than 1. The drawing scale factor is 200.
What are the measuring units?
A unit of measurement is a specific magnitude of a quantity that has been established and adopted by law or convention and is used as a benchmark for measuring other quantities of the same kind. A multiple of the unit of measurement can be used to express any other quantity of that type. A length, for instance, is a physical quantity.
Given that, the sand volleyball court is 4 centimeters wide in the drawing. The actual length of the volleyball court is 8 meters wide.
The sacle factor is the ratio of the actual length to new object.
The scale fator is
8 meter : 4 centimeters
= 800 centimeters: 4 centimeters
= 800 : 4
= 200 : 1
=200/1
= 200
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Fred has a recipe for 30 biscuits.
Here is a list of ingredients for 30 biscuits.
Self-raising flour:
230g
150g
100g
Butter:
Caster sugar:
Eggs:
2
Fred wants to make 45 biscuits.
(a) Complete his new list of ingredients for 45 biscuits.
Answer:
*1.5
Step-by-step explanation:
45/30＝1.5
use all ingredients *1.5 then get the ans
eg. 230g*1.5＝345g
150*1.5＝225
Please help I have a learning disablity and need help.
The Ramirez family drove 1,764 miles across the United States on their vacation. If it took a total of 28 hours, write a multiplication equation to find their average speed in miles per hour.
Use R
as the variable to represent their unknown average speed.
ANswer here_________________
Answer:
The answer is 63 miles per hour.
The distance (d) is multiplication of speed x and time (t):
d = x * t
d = 1,764 mi
t = 28 h
x = ?
1,764 mi = x * 28 h
x = 1,764 mi / 28 h
x = 63 miles per hour
Step-by-step explanation:
PLEASE HELP I will Mark Brainlist its A Math Question thank you
Answer:
The correct answer is the second alternative!
at the city museum, child admission is $5.80 and adult admission is $9.70. on wednesday, 156 tickets were sold for a total sales of $1290.90. how many child tickets were sold that day?
Let x be the number of child tickets sold on Wednesday. Then, the number of adult tickets sold can be represented as 156 - x.
The total amount of money generated from the sale of child tickets is 5.80x, and the total amount of money generated from the sale of adult tickets is 9.70(156 - x). The total sales for the day were $1290.90, so we can set up the following equation:
5.80x + 9.70(156 - x) = 1290.90
Expanding the right-hand side and solving for x, we can isolate x:
5.80x + 1481.20 - 9.70x = 1290.90
-4.90x + 1481.20 = 1290.90
-4.90x = -190.30
x = 39
So, 39 child tickets were sold on Wednesday. This is because the total number of tickets sold is 156, and since we know the number of child tickets sold, we can calculate the number of adult tickets sold by subtracting the number of child tickets from the total.
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ms. losch has a piece of rope long that she cuts into pieces for an experiment in her first-grade class. each piece of rope is to be long. how many long pieces of rope can she cut from the original piece of rope?
Ms. Losch can cut the original piece of rope into as many pieces as she wants, provided that each piece is the same length as the original.
If the original piece of rope is 12 inches long, she can cut it into 12 one-inch long pieces, 6 two-inch long pieces, 4 three-inch long pieces, 3 four-inch long pieces, 2 six-inch long pieces, or 1 twelve-inch long piece.
It is important to note that the pieces of rope must all be the same length, so if she wants to make any combination of the lengths, she must make sure that the total length of the pieces of rope adds up to the original length.
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Find the missing value
The missing value is -3 = 7- 10.
What are Integers?Integers come in three types:
Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)Given:
We have -3 = 7 - x
As, we know from the integers when we perform addition and subtraction in integers the answer will get the sign of larger number.
Here -3 shows the larger number is negative number.
But here we have 7 as positive integer which shows x > 7.
So, -3 = 7- x
-3-7 = -x
-10 = -x
x= 10
thus, we can write -3 = 7-10
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PLSSS HELP IF YOU TURLY KNOW THISS
prove that sum of angles of a convex plygon of n sides is (n-2)pi, where n>3
The IH states that the sum of the angles in convex polygon C(which, by the IH, is (n - 2)·π) and the sum of the angles in triangle B (180°) is the same as the sum of the angles in A.
Using induction all convex polygons with n vertices have angles that add to (n - 2)·π, therefore let P(n) be that. We will demonstrate that P(n), where n≥3, holds for every n ∈ N. We demonstrate P(3), which states that any convex polygon with three vertices has an angle total of 180 degrees. Any triangle formed by such a polygon has angles that add up to 180°.
Assume that P(n) holds for some n ≥ 3 and that all convex polygons with n vertices have angles that add to (n-2) 180° for the inductive step. We demonstrate P(n+1), which states that each convex polygon with n+1 vertices has an angle sum of (n-1)·π. Let A represent any n+1-vertex convex polygon.
The IH states that the sum of the angles in convex polygon C (which, by the IH, is (n - 2)·π) and the sum of the angles in triangle B (180°) is the same as the sum of the angles in A. As a result, the total angle in A is (n-1) 180°. Thus, the induction is complete and P(n + 1) holds.
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WHAT INQUANLITY DESCRIBES THE SOLUTION OF 2Y< 8
Reason: Divide both sides by 2. The inequality sign stays the same. The only time it flips if you divided both sides by a negative value.
The graph involves an open hole at 4 with shading to the left. The open hole means "exclude this value from the shaded solution set".
the x coordinate of the midpoint is the ____ the x coordinate of the end points
1) same as
2) difference between
3) average of
given a certain population, assume the probability that a person is taller than x inches is 1/2. suppose two persons are chosen at random, one after another, without replacement. however, you can assume the population is large enough (say, infinite), so that the probability of being taller than x inches for a randomly chosen person remains 1/2, even when we are drawing from a population reduced in size by one. (a) (10 points) suppose we know that at least one person is taller than x. what is the probability that the other person is shorter than x? (b) (10 points) suppose we know that the person chosen second is taller than x. what is the probability that the first person chosen is shorter than x?
(a) The probability that the other person is shorter than x is = 1/2
(b) The probability that the first person chosen is shorter than x is 1/2.
(a) If we know that at least one person is taller than x, then there are two cases to consider:
The first person chosen is taller than x:
In this case, the probability of the second person being shorter than x is 1/2.
The second person chosen is taller than x:
In this case, the probability of the first person being taller than x is 1/2.
The total probability that at least one person is taller than x and the other person is shorter than x is the sum of these two cases:
P = (1/2) * (1/2) + (1/2) * (1/2)
= 1/2
(b) If we know that the person chosen second is taller than x, then the only possibility is that the first person chosen is shorter than x.
The probability of this happening is 1/2.
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There are 47 page in walter book. He read 29 page how many more page are left to read ?
Answer:
18 pages
Step-by-step explanation:
47 pages in total - 29 pages read = 18 pages left
Write an equation of the line with a slope of 0
and y
-intercept of 5
.
Answer:
y = 5
Step-by-step explanation:
The equation is y = mx + b
m = the slope
b = y-intercept
Because the slope is 0 and the y-intercept is 5, our equation will be
y = 5
write a real world deseription for the Algebraic expression 4.95x + 3
Answer:
You are paying 3$ already for a drink and for each sandwich (x) you buy is 4.95$
Step-by-step explanation:
You are paying 3$ already for a drink and for each sandwich (x) you buy is 4.95$
So you pay 4.95x + 3 for your drink and x sandwiches
The algebraic expression 4.95x + 3 can be described as the total cost of a product that has a fixed price of 3 dollars, and an additional price of 4.95 dollars per unit of the product. In this case, x represents the number of units purchased, and the expression represents the total cost of the purchase.
Please help with this question
Answer:
352 inches squared
Step-by-step explanation:
The area of a triangle is 1/2 · base · height. There are 4 of the same triangles here, so it would be (1/2 · 8 · 18) · 4 to find the surface area of all 4 triangles, but you can't forget about the base. The area of a rectangle is length times width, so it would be 8 · 8. This means the formula for the entire surface area of this square pyramid is ((1/2 · 8 · 18) · 4) + (8 · 8). It can be simplified as follows:
((1/2 · 8 · 18) · 4) + (8 · 8)
((1/2 · 8 · 18) · 4) + 64
((4 · 18) · 4) + 64
(72 · 4) + 64
288 + 64
352
Is each biconditional statement true or false?
Select True or False for each statement.
An angle is a right angle if and only if the measure of the angle is 90°. True/False
An angle measures 120° if and only if the angle is an obtuse angle. True/False
An angle measures 180° if and only if the angle is a straight angle. True/False
As far as we are aware, a straight angle is defined as 180 degrees then the bi-conditional assertion is true.
What is meant by bi-conditional assertion?It combines the conditions "if two line segments are congruent then they are of equal length" and "if two line segments are of equal length then they are congruent." Only when both conditionals are true does a biconditional hold. The symbol "or" is used to denote bi-conditionals.
A statement with two conditions is one that has the form "p if and only if q." In other words, if p, then q and if q, then p. "P iff q" or "p q" are other ways to express the biconditional "p if and only if q."
Since we have given that
1) If and only if the angle's measurement is 90 degrees, it is a right angle : True.
As is common knowledge, one angle in a right-angled triangle must be 90 degrees.
2) If and only if an angle is obtuse, it measures 120 degrees : True
Obtuse angle is a term used to describe angles that are more than 90° but less than 180°.
And 90°<120°<180°
3) Only if the angle is a straight angle does it measure 180 degrees : True
As far as we are aware, a straight angle is defined as 180 degrees.
As a result, every bi-conditional assertion is true.
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What is the value of 14 – ( 2) + 3 – 8 + 4?
Answer:
11
Step-by-step explanation:
12-5+4=12-1=11
Help me and will give brainliest! no absurd answers will me taken. Thanks.
what went wrong
the student did not cross multiply, and instead multiplied within each fraction.
rework the problem
mx24=8x15
m=120/24
m= 5
helpful strategy
draw a line from each value to the one you're multiplying it by
practice problems
12/z = 15/20
Let P(x) = 17x12 + 8x5 – 25. Since P(1) = 0, then x – 1 is a factor of P(x).
True or False
True, x-1 is a factor of P(x) = 17x¹² + 8x⁵ – 25.
What is polynomial?A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number.
Given function
P(x) = 17x¹² + 8x⁵ – 25
P(1) = 0
By the Remainder Theorem,
Dividend = Divisor * Quotient + Remainder
P(x) = (x – 1). Q(x) + P(1)
P(1) = 0
P(x) = (x – 1). Q(x)
Hence, x-1 is a factor of P(x).
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7/30 of (1/3 + 7/15) / (5/6 - 3/5)
Answer:
The answer of the fraction is 4/5
Answer:
b)
Step-by-step explanation:
= 7/30 (5/15 ₊ 7/15) ÷ (25/30 - 18/30)
= 7/30 (12/15) ÷ (7/30)
= 7/30 (12/15) ×(30/7)
= 12/15
= 4/5
How do u draw the graph n wats the answer
y=2x-2 is the equation of the graph.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
From the given figure the points are (2, 2)(3,4)(4, 6)
m=6-4/4-3
m=2/1
slope =2
Now let us find the y intercept
4=2(3)+b
4=6+b
b=-2
y=2x-2
Hence, y=2x-2 is the equation of the graph.
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Are the two triangles similar? If so, how do you know
Answer:
Yes, through AA
Step-by-step explanation:
The angles of a triangle = 180
One angle is a right angle, which is 90. They give us an angle of 52.
Subtracting 180-90 = 90
Then subtracting 90-52 gives you 38
If you look at the other triangle... what's the given angle? It's 38
180-90=90
90-38 = 52
That 52 looks familiar
The solutions to a system of linear inequalities are located in the region where all the shaded regions of the inequalities overlap. What is the region of overlap called?
A. vertex
B. boundary line
C. intersection
D. test point
All the shaded regions of the overlap inequalities represents the located solution region of the system of linear inequalities , the overlap region is called intersection ( option C ).
Graph is attached.
Let us consider the system of linear inequalities are x + y > 1 and x -y <1.Represents both the system of inequality on the graph.Plot x + y > 1, region above x >1, y > 1 represents the inequality.Plot x - y < 1 region x < 1 , y > -1 represents the inequality.Shaded region of both the inequalities intersect each other represents the solution region of the system of inequalities.Solution region is the shaded region which get overlap.Graph is attached.
Therefore, the solution region is represented by the shaded region called (option C) intersection area of the system of linear inequalities.
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