Answer:
molecules speed up
Step-by-step explanation:
temperature has a strong affect of the movement of molecules
Find AC, if possible. A= C= Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. AC= (Simplify your answer.) B. The matrix AC is not defined.
The multiplication of the given two matrices AC will be [tex]\left[\begin{array}{ccc}-15&12&17\\5&-9&1\end{array}\right][/tex].
What is a matrix?matrix, a collection of numbers lined up in rows and columns to produce a rectangular array. The elements of the matrix, also known as the entry, are the numerals.
In another word, a matrix is a set of variables that are arranged in such a good way that we can create an algebraic equation from that.
As per the given matrices,
A = [tex]\left[\begin{array}{ccc}2&-1&3\\0&2&-1\end{array}\right][/tex]
C = [tex]\left[\begin{array}{ccc}-5&0&5\\2&-3&2\\-1&3&3\end{array}\right][/tex]
The number of columns in matrix A is the same as the number of rows in matrix C.
The multiplication will be as,
AC = [tex]\left[\begin{array}{ccc}2&-1&3\\0&2&-1\end{array}\right]\times\left[\begin{array}{ccc}-5&0&5\\2&-3&2\\-1&3&3\end{array}\right][/tex]
AC = [tex]\left[\begin{array}{ccc}(2(-5)-1(2)+3(-1)&(0+-1(-3)+3(3))&2(5)+-1(2)+3(3)\\(0+2(2)+(-1(-1))&(0+2(-3)+-1(3)&2(5)+0+2(2)+-1(3)\end{array}\right][/tex]
AC = [tex]\left[\begin{array}{ccc}-15&12&17\\5&-9&1\end{array}\right][/tex]
Hence "The multiplication of the given two matrices AC will be [tex]\left[\begin{array}{ccc}-15&12&17\\5&-9&1\end{array}\right][/tex]".
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y=-5x/6 standard form
Answer:
Step-by-step explanation:
i think its b daddy
Which shows one way to determine the factors of x³ 12x² 2x 24 by grouping?
Therefore, the solution of the given problem is factors of the given equation are [tex]x^{2}[/tex](x - 12) - 2. (x - 12).
Examine the equation.An equation is a mathematical statement that is created by connecting two expressions using the equivalent sign. An example of an equation is 2x - 5 = 15. By resolving this equation, we may ascertain that the variable x has a value of 5.
Here,
The approach of grouping for factoring polynomials in this case is a progression from the method of identifying common factors.
In order to determine the factors of the given polynomial expression,
we are trying to find groups from the common factors in this case.
The components of [tex]x^{3}[/tex]- 12[tex]x^{2}[/tex] - 2x + 24 are hence
=> [tex]x^{2}[/tex](x - 12) -2 (x - 12)
=> [tex]x^{2}[/tex](x - 12) - 2. (x - 12).
Therefore, the factors of the given equation are [tex]x^{2}[/tex](x - 12) - 2. (x - 12).
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How do you write a linear inequality?
Mathematical expressions known as linear inequalities compare two expressions and used the inequality symbol. The expression may be either a numerical or an algebraic expression, or it may be both.
Define the term linear inequality?Expressions that compare two linear expressions using inequality symbols are referred to as linear inequalities.
It's important to remember that if p < q, then p must be a number that is unambiguously less than q. If p ≤ q, then p is a number that is strictly smaller than q or exactly equal to q. The same is true for the final two inequality signs > (greater than) and (greater than or equal to).When resolving multi-step linear inequalities, we must follow the laws of inequality.
Step 1: Simplify an inequality on both sides, both the LHS and the RHS.Step 2: If indeed the inequality is just a strict inequality, when the value is acquired, the solution for x is either less than or larger than the calculated value as stated in the question.To know more about the linear inequality, here
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What property of congruence is illustrated in the statement if ∠ A ≅ ∠ B then ∠ B ≅ ∠ A?
If ∠ A ≅ ∠ B then ∠ B ≅ ∠ A serves as an example of the symmetric property of congruence.
The symmetric property of equality in mathematics is actually fairly straightforward. According to this criterion, if a = b, then b must also be a. In other words, even if two equations' sides are switched, the equation still makes sense.
According to this principle, if a = b and b = c, then a = c.
THE CHARACTERSISTICS OF CONGRUENCE:
1. REFLEXIVE PROPERTY
CONCURRENCE TO LINE SEGMENT AB IS LINE SEGMENT AB
3. SYMMETRIC PROPERTY : Angle B is congruent with angle A if and only if angle A is congruent with angle B.
3. TRANSITIVE PROPERTY: Angle A is in accordance with Angle C if Angle A is in accordance with Angle B and Angle B is in accordance with Angle C.
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A girl has 5 pairs of pants and 6 shirts. How many ways can she get dressed?
60
Can we return 3 values in Python?
You can return multiple values from a function in Python.
Now, According to the question:
Can Python function return 3 values?
You can return multiple values from a function in Python. To do so, return a data structure that contains multiple values, like a list containing the number of miles to run each week. Data structures in Python are used to store collections of data, which can be returned from functions.
How do you return 4 values in Python?
In Python, you can return multiple values by simply return them separated by commas. In Python, comma-separated values are considered tuples without parentheses, except where required by syntax. For this reason, the function in the above example returns a tuple with each value as an element.
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How do you solve easy expressions?
The steps to solve expressions easily are:
N°1 : Remove parentheses brackets and bracesN°2 : Group termsN°3 : Validate the same base and exponent to operate in addition and subtraction.N°4 : SimplifyAlgebraic expressionsAn algebraic expression is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.
To solve expressions we must organize:
N°1 : Eliminate parentheses, brackets and braces, with multiplication and division mathematical operations.N°2 : Group dependent terms on one side and independent on the other.N°3 : Validate the same base and exponent to operate in addition and subtraction.N°4 : SimplifyLearn more about algebraic expression in:
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How do you find the missing number in an array without loop?
You can find the missing number in an array without loop by counting the number of elements in the array, and then looping through the elements.
How do you find the missing number in an array without loop?Here is a simple program to find the missing numbers in an integer array.
ArrayList<Integer> arr = new ArrayList<Integer>();
int a[] = { 1,3,4,5,6,7,10 };
int j = a[0];
for (int i=0;i<a.length;i++)
{
if (j==a[i])
{
j++;
continue;
}
else
{
arr.add(j);
i--;
j++;
}
}
System.out.println("missing numbers are ");
for(int r : arr)
{
System.out.println(" " + r);
}
You can find the missing number in an array without loop by counting the number of elements in the array, and then looping through the elements.
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Is it hard to learn algebra?
For solving algebra Determine the issue, Describe your knowledge, Plan beforehand, Execute the plan ,and Check to see whether the response makes sense.
What is Algebra?One of the many different mathematical disciplines is algebra. Algebra, a common thread that runs through nearly all of mathematics, is, roughly speaking, the study of mathematical symbols and the rules for using these symbols in formulae. With the use of mathematical expressions, algebra is the area of mathematics that helps to depict situations or problems. We employ integers that have a fixed or definite value in algebra, such as 2, 7, 0.068, etc. In addition to using numbers, algebra also makes use of variables like x, y, and z.
to do algebra for beginners - Determine the issue, specify your knowledge, Plan, execute, and confirm that the solution makes sense.
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How do you calculate age from a half-life?
We can determine the age by dividing the total number of half-lives by the half-life decay constant of the parent atom (again, this value is determined in a laboratory).
What is Half-life?The amount of time needed for a quantity (of substance) to decrease to half of its initial value is known as the half-life (symbol t12).
In nuclear physics, the phrase is frequently used to indicate how rapidly unstable atoms decay radioactively or how long stable atoms last.
By dividing the total number of half-lives by the parent atom's half-life decay constant, we may compute the age (again, this value is determined in a laboratory).
The phrase is also used more broadly to describe any kind of exponential decay (or, very infrequently, nonexponential decay).
The biological half-life of medications and other compounds in the human body, for instance, is a term used in the medical sciences.
Half-opposite of life's exponential growth is time's doubling.
Therefore, we can determine the age by dividing the total number of half-lives by the half-life decay constant of the parent atom (again, this value is determined in a laboratory).
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Is a square root always an irrational number?
No, a square root is not always an irrational number because the perfect square roots are rational number.
What is an irrational number?Any real number that cannot be written as p/q, where p and q are both integers, the quotient of two integers.
If a number is not a perfect square, the square root of that number is not rational.
For example, the square root is 4 is 2.
The square root of 9 is 3.
But whereas the square root of 5 is 2.23606797755555...... which is irrational
The square root of 8 is 2.8284271247555..... which is irrational.
So, therefore square root of a number is not irrational always it can be rational also.
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What are examples of arithmetic numbers?
Therre are many examples but let us take 6 as an example of arithmetic number.
What is arithmetic?The area of mathematics known as arithmetic deals with the study of numbers and the numerous operations that can be performed on them. Addition, subtraction, multiplication, and division are the fundamental mathematical operations.
What is arithmetic number?For an integer to be considered arithmetic, its average positive divisors must also be integers.
Since 1,2,3 and 6 are the divisors of 6. The average of divisors of 6 is:
[tex]\frac{1+2+3+6}{4} =3[/tex]
where 3 is again an integer so 6 is an arithmetic number.
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write the equation 3x-2y=15 in standard form. show work.
we have given that
X=7
and Y=3
Step-by-step explanation:
3x-2y=15
put value
(3×7)-(2×3)=15
so we can say that the value of X and Y having different value and satisfied given given
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If g(x) = 80 15x, what is the value of
g(1)?
What makes a graph infinity?
A graph is said to be infinite when it has an infinite number of points that could be connected, or an infinite number of lines, curves, or shapes that could be drawn on the graph.
A graph is a visual representation of data or information, typically plotted on an x-axis and a y-axis. A graph is said to be infinite when it has an infinite number of points that could be connected, or an infinite number of lines, curves, or shapes that could be drawn on the graph. For example, a line graph without an end point is considered infinite because it theoretically continues forever. Similarly, a circle graph with no beginning or end point could also be considered infinite. Other types of graphs that can be considered infinite include bar graphs, area graphs, scatter plots, and pie charts. When determining whether a graph is infinite, it is important to consider the purpose of the graph and its data. If the graph is meant to represent an infinite set of data points, then it can be considered infinite. Likewise, if the graph is meant to represent a function that goes on forever, then it should also be considered infinite. Ultimately, the definition of infinity can vary depending on the situation, so it is important to consider all aspects of the graph before making a judgement.
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What is the median if mode is 15 and 48?
Our Median will be 37 when the Mode is 15 and the Mean is 48.
Relationship between Mean Median and Mode?
An empirically established link exists between the mean, median, and mode in statistics. The average difference between the mean and the mode is three times greater than the difference between the mean and the median, according to observations of innumerable data sets. The equation for this relationship is:
Mode - Mean = 3*(Mean – Median).
on solving this we get:
Mode = 3 * Median - 2 * Mean
In our question, it is given that the Mode is 15 and the Mean is 48 and we have to calculate the Median.
Putting these values in our formula, we get:
15 = 3 * Median - 2 * 48
3 * Median = 15 + 96
Median = 111/3 = 37.
So, finally, our result will be 37.
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What is the first prime number?
A prime number is a positive integer greater than one that has no positive integer divisors other than one and itself. so The first prime number is 2.
What is a prime number?A whole number higher than one that cannot be divided exactly by any other whole number than itself and one is a prime number.
What is whole number?Complete numbers, the range of numbers that includes zero and natural numbers and not a decimal or fraction.
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a+b/a-b=5/3 what are the following ratios a+b/a
The ratio for the Illustration a+b/a-b=5/3 is 5:4.
How to illustrate the ratio?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).
From the information given, the equation is written thus:
a + b / a - b = 5 / 3
Cross multiply
5(a - b) = 3 (a + b)
5a - 5b = 3a + 3b
Collect the like terms
5a - 3a = 3b + 5b
2a = 8b
Divide
a = 8b / 2
a = 4b
Therefore (a + b) / a will be:
= (4b + b) / 4b
= 5b / 4b
= 5/4
= 5 : 4
The ratio is 5:4.
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Find The Area Of The Shaded Region.R = √Θ
The area of the shaded region will be (15/16)π².
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
The graph is easy to understand the behavior of the graph.
As per the given function,
r = √θ
The θ goes from π/2 to 2π while r goes from 0 to √θ.
The area will be as,
Area = [tex]\int\limits^{2\pi} _{\pi/2}\int\limits^{\sqrt{\theta} } _{0} {r} \, drd\theta[/tex]
A = [tex]\int\limits^{2\pi} _{\pi/2}[r^{2}/2]_{0}^{\sqrt{\theta}} d\theta[/tex]
A = 1/4[(2π)² - (π/2)²]
A = π²/4[4 - 1/4] = (15/16)π².
Hence "The area of the shaded region will be (15/16)π²".
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The complete question is below,
m+8 and 2n-1 find the measures of m and n
The measures of m and n are found to be m = 3 and n = 6 .
What is a diagonal ?A more general definition of a diagonal of a polygon is a line segment that joins two vertices of the polygon which are not already joined by an edge of the polygon.
How do you know if diagonals are congruent?A diagonal of a rectangle divides it into two congruent right triangles. The diagonals of a rectangle are the same length. A quadrilateral whose diagonals bisect each other, intersect at right angles, and are congruent must be a square.
Top diagonals are congruent
9 = 3m
solve for m
m = 3
bottom diagonals are congruent
m + 8 = 2n -1
plug in 3 for m
3 + 8 = 2n -1
solve for n
11 +1 = 2n
12 = 2n
n=6
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If a polynomial f(x) has a remainder of 3 when divided by x−6, what is f(6)?
Answer: f(6) = 3
Step-by-step explanation:
If you divide any polynomial h(x) by a linear function (it is to the 1st power) l(x), then the remainder of h(x) when divided by l(x) must be the value of h(x) where x is when l(x) = 0, or the x-intercept.
For example,
x - 6 = 0, and its x-intercept is 6. Therefore, if you do f(6), the remainder will be its output.
What is AAA congruence postulate?
AAA is a triangle similarity theory. Which means all the respective angles of two triangles are equal.
AAA Postulate: (Angle Angle Angle)
It states that if all three angles of a triangle are equal to all three respective angles of another triangle, then the two triangles will be similar.
Let's say the angles ABC , BCA ,CAB of a triangle ABC are equal to the sides XYZ, YZX, ZXY of triangle XYZ then we can say that according to AAA postulates both the sides are similar and as a result we can say that their respective sides will be also same.
AAA postulates sate that if the all three angles of two triangle is equal then they will be called as similar triangle.
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Look at screenshot; I need answer you don't have to explain
In the given graph with the function, x = -9 if f(x) = 7
What is graph?An illustration of a relation is a function graph. In set theory and modern mathematical foundations, a function is actually equal to its graph. It is often helpful to think of functions as mappings, which include the sets that constitute the domain and the codomain in addition to the relationship between input and output.
A codomain should be considered, for instance, when determining whether a function is onto (surjective) or not. The codomain is not determined by the graph of a function alone. The terms "function" and "graph of a function" are frequently used because, although they refer to the same thing, they express different viewpoints on it.
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Complete the statements to compare the weights of
female babies with the weights of male babies.
The median female birth weight is
median male birth weight.
The range of female birth weight is
range of male birth weight.
the
Which birth weight measure is the same for both
genders?
the
Done
The range and median birth weight are the same for both genders.
Step-by-step explanation:
The average birth weight for babies is around 7.5 lb (3.5 kg). However, a birth weight between 5.5 lb (2.5 kg) and 10 lb (4.5 kg) is considered normal. The general observations with regard to birth weight are as follows:
Boys are usually a little heavier than girls.
First babies are usually lighter than later siblings.
Large parents generally have large babies, while small parents generally have small babies.
Conditions like diabetes in the mother may lead to increased birth weight.
Zika virus causes the birth weight to be lower and the size of the head is small.
The range and median birth weight are the same for both genders.
Solve the equation
22 = -13 + a
The equation 22 = -13 + a gives the value a = 35.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 - 8 is an equation.
We have,
22 = -13 + a
Add 13 on both sides.
22 + 13 = a
a = 35
Thus,
The value of a is 35.
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How do you teach factors to Grade 5?
Prime factorization is the process of expressing a number as the sum of all its prime factors. In prime factorization, each and every integer is a prime number.
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
A component is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the final since the product is divisible by them.
Factors can be found using either division or multiplication. Rules of divisibility can also be used.
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find the gradient vector field of f. f(x, y, z) = 6 x2 + y2 + z2
The gradient of the vector field of function f(x, y, z) is (12x,2y,2z)
The term gradient of the vector in math is calculated as the vector whose components are given by the partial derivatives of the function and it can be evaluated at any given point, and the gradient represents the direction and magnitude of greatest increase of the function at that point.
Here we have given the function f(x, y, z) = 6x² + y² + z²
Now we have to calculate the gradient of the function by using the following step.
In the given question, we have identified the values of the following as,
=> x = 6x²
=> y = y²
=> z = z²
Now, in order to find the gradient of a function (which is a vector), differentiate the function with respect to each variable.
=> ∇f=(∂f/∂x, ∂f/∂y, ∂f/∂z)
Now, the value of
=> ∂f/∂x = 12x
=> ∂f/∂y = 2y
=> ∂f/∂z = 2z
Now, we have to plug in the point:
=> ∇f(x, y, z) = (12x,2y,2z)
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How many numbers less than 305 are divisible by 3?
To find the number of integers less than 305 that are divisible by 3, we can divide 305 by 3 and round down to the nearest integer. This gives us 101. However, we need to subtract 1 to exclude the number 305 itself, so there are 100 numbers less than 305 that are divisible by 3.
In math, what exactly is a divisible?A number is said to be divisible if it divides evenly (leaving no residue). 34, for instance, is divisible by 2 since 2 enters 34 equally. 34 is not divisible by 3 since it would result in a remainder.
How can you divide three?According to the three-digit rule of division, a whole number is said to be divisible by three if the total of all its digits is precisely divided by three. A number's ability to be divided by three can be determined without executing division.
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if a student is chosen at random, what is the probability that the student competed in rhythm given they had competed in smooth or standard.
The probability that the student competed in Rhythm given they had competed in Smooth or Standard: P(Rhythm |Smooth or Standard) or P ( A/( B or C)) is 0.6613 = 66.13%.
We have, A survey was conducted at a local ballroom dance studio asking students with three dance categories. The above Venn diagram shows the number of students in these three categories of dance.
Total number of students in all dance categories n(A or B or C) = 5 + 6 + 8 + 12 + 14 + 15 + 10 + 4
= 74
let us consider the events
A : students in Rhythm dance category
B : students in Standard dance category
C : students in Smooth dance category
Using the conditional probability,
Probability that student has competed in Rhythm and they have competed in Smooth, P(Rhythm/ smooth) = P(A/C) = P(A and C)/P(C)
= (12+14)/74 = 26/74 = 0.703
but we have to calculate probability that the student competed in Rhythm given they had competed in Smooth or Standard, P(Rhythm/Smooth or Standard) = P(Rhythm and (Smooth or Standard))/P(Smooth or Standard)
i.e., P( A/(B or C) )= P(A and (B or C))/P(B or C)
n(B or C) = n(B) + n(C) - n( B and C)
=> n(B or C) = 14 + 5 + 10 + 15 + 12 + 14 + 5 + 6 - 5 - 14 = 62
Now, P(B or C) =n(B or C)/n(A or B or C)
=> P(B or C) = 62/74 = 0.703 = 70.3%
P(A and (B or C)) = n(A and (B or C))/n(A or B or C)
n(A and (B or C)) = n(A) + n(B or C) - n(A or B or C)
= 12 + 14 + 15 + 8 + 62 - 70 +4 = 41
P(A and (B or C)) = 37/74
So, P( A/(B or C) )= P(A and (B or C))/P(B or C)
=> P( A/(B or C) )= 41/74/62/74 = 41/62
= 0.6613 = 66.13%
Hence, the required probability is 66.13%.
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Complete question:
A survey was conducted at a local ballroom dance studio asking students if they had ever competed in the following dance categories:
- Smooth
- Rhythm
- Standard
The results were then presented to the owner in the following Venn Diagram. Use the Venn Diagram to determine the following probabilities. Write your answers in percent form, rounded to the nearest tenth .If a student is chosen at random; what is the probability that the student competed in Rhythm GIVEN they had competed in Smooth or Standard: P(Rhythm |Smooth or Standard)