Strong negative correlation is 0.89. While the size of the number (0.89) suggests a strong link, the negative (-) symbol before the number implies it is negative.
What is Correlation Coefficient?Correlation coefficients demonstrate how strongly two independent variables, x and y, are connected linearly.
A linear correlation coefficient greater than zero indicates a relationship that is favorable.
A value less than zero denotes a bad relationship. To summarize, when x and y have values of 0, there is no link between them.
A statistic that describes how closely two variables' movements are related to one another is the correlation coefficient (r2).
The most widely used correlation coefficient is the Pearson product-moment correlation, which is used to detect if two variables are linearly related.
This correlation value, however, might not always be an accurate predictor of reliance in a non-linear link.
Hence, Strong negative correlation is 0.89. While the size of the number (0.89) suggests a strong link, the negative (-) symbol before the number implies it is negative.
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find the length of the diagnol please.
The length of the diagonal of the rectangle is 6.4 meters
How to determine the diagonalFrom the question, we have the following parameters that can be used in our computation:
Length = 5 meters
Width = 4 meters
The length of the diagonal can be calculated as
diagonal = √(length² + width²)
substitute the known values in the above equation, so, we have the following representation
diagonal = √(5² + 4²)
Evaluate
diagonal = 6.4
Hence, the diagonal is 6.4 meters
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What are the three methods to solve a 3 variable linear system of equations?
The three methods to solve a 3 variable linear system of equations are interchanging the order of any two equations, multiplying both sides of an equation by a non-zero constant, add a non-zero multiple of one eqn to another eqn.
In order to solve any system of equations in three variables, known as three-by-three systems, the primary purpose is to eliminate one variable at a time to achieve back-substitution. A solution to a system of three equations in three variables (x,y,z), is known as an ordered triple.
Step 1. Choose any pair of equations and solve for one variable.
Step 2. Choose another pair of equations and determine the same variable.
Step 3. You have developed a system of two equations in two unknowns. Solve the resulting two-by-two system.
Step 4. Back-substitute the known variables into any one of the original equations and solve for the missing variable.
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The graph of g(x) is obtained by reflecting the graph of f(x)=4|x| over the x-axis.
Which equation describes g(x)?
A) g(x)=|x-4|
B) g(x)=|x+4|
C) g(x)=|x|-4
D) g(x)=-4|x|
The Function after reflection over x-axis is D) g(x) = -4IxI.
What is Function?
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable (the dependent variable).
Here The graphs of g may be obtained from the graph of f by shifting up c units. The graph moves downward if we take c out of f(x). Let h(x) = f(x)-c shifting downward c units yields this graph of h from the graph of f.
Now given function f(x)= 4IxI.
It is stated that its graph of is obtained by reflecting a graph of f(x)= 4IxI over the x-axis.
When a figure is reflected across the x-axis, the rule for reflection is
(x,y)=>(x,-y)
Then g(x)=-f(x),
=> g(x) = -(4IxI)
=> g(x) = -4IxI
Hence the correct option is D)g(x) = -4IxI.
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Helloooo helppp me please
The remainder of given polynomial is 10 . An expression that consists of variables, constants, and exponents and is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
What distinguishes a polynomial?In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only involves non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1. The word "polynomial" is derived from the Greek words "poly" and "nominal," which together translate to "many terms."
Given,
[tex]fx=x^3+2x^2-5x-6[/tex]
By using remainder theorem
[tex]f(2)=2^3+2*2^2-5*2-6\\f(2)=0[/tex]
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According to th given question x³ - 2x² - 5x + 6 is divided by x + 2 it gives remainder zero.
A split fraction is what?The act of dividing a fraction into further equal portions is known as fraction division. For instance, if you cut a slice of pizza in half and had three-fourths of the pizza left, you would have eaten six slices total, or four of the entire pizza. In mathematics, division is the procedure of dividing a sum into equal parts. For illustrate, we may divide a group of 20 individuals into small groups of 4, 5, 6, and so on.
Given that p(x) = x³ - 2x² - 5x + 6 and g(x) = x + 2
We have to track down the rest.
So let's get started!
Remainder theorem is used;
g(x) = x + 2 = 0
g(x) = x = -2
By substituting the value x = -2
x³ - 2x² - 5x + 6
Substituting the values:
(-2)³ - 2(-2)² - 5(-2) + 6
= - 8 + 10 + 6
= -16 + 16
= 0
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need some help with the screenshot
Answer:
(1,4)
Step-by-step explanation:
Analyze the diagram to answer the questions.
Another way to name AngleSAC would be Angle
.
A point on ray AS is
.
Line segment A R and Line segment A B create Angle
.
Angle CAS is another name for Angle SAC. It is necessary to come up with another name for Angle SAC.
What is line?A line is a one-dimensional straight shape with no thickness that extends endlessly in both directions. A line is made up of a series of points that stretch in opposite directions indefinitely. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.
Given:
Given a ray diagram,
Ray RS is given and point A & T are on between R & S.
Another ray DC cuts the ray RS at point A.
The ray AS cuts the point A.
One more ray is AB ,there is no any point to cut.
<SAC, we can also write this angle in form < CAS.
So,
∠SAC = ∠CAS (same angle)
Angle SAC is also known as Angle CAS. Angle SAC requires a new name.
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Diagram is missing
A 6-kg bowling ball sits on top of a building that is 120 meters tall.
The potential energy of the bowling ball is equal to 7,056 Joules.
How to calculate the potential energy of the bowling ball?Mathematically, the gravitational potential energy (GPE) possessed by any physical object or body can be calculated by using this mathematical expression:
GPE = mgh
Where:
GPE represents gravitational potential energy.m represents the mass.h represents the height.g represents acceleration due to gravity.Note: Acceleration due to gravity is equal to 9.8 m/s².
Substituting the given parameters into the formula, we have;
GPE = 6 × 9.8 × 120
Gravitational potential energy (GPE) = 7,056 Joules.
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Complete Question:
A 6-kg bowling ball sits on top of a building that is 120 meters tall. What is the potential energy of the bowling ball?
Is convex real or virtual?
Plane mirrors and convex mirrors only produce virtual images.
A mirror is a surface that nearly always images the light that strikes it. Mirrors are divided into two types: Plane mirrors and the second one is spherical mirrors. As the name says, plane mirrors have a plain, polished surface, while spherical mirrors are curved throwback surfaces.
Spherical mirrors are further divided into convex and concave mirrors based on their curves. Yet, to distinguish between Concave and Convex Mirror, it is fundamental to understand what they are and how they differ.
To put it simply, mirrors with a reflecting surface that bump outwards are convex mirrors, whereas concave mirrors have a reflecting surface that bulges inwards.
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These figures are similar.
The angles are equal of △ABC and △XYZ. Thus △ABC ∼ △XYZ.
What are similar triangles?
Similar triangles are triangles that have the same shape but differ in size. Similar items include all equilateral triangles and squares with any side length. In other words, if two triangles are identical, their corresponding angles and sides are congruent and in equal proportion.
Given that in △ABC and △XYZ:
∠C = ∠X
∠A = ∠Z
∠B = ∠Y = 100°.
AAA rule: If the angles of a triangle are congruent to the angles of another triangle, then the triangles are congruent.
According to AAA rule, △ABC is similar to △XYZ.
The symbol of similar triangles is ∼.
Therefore, △ABC ∼ △XYZ.
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What are the zeros of the function defined by the expression x^2 - 7x - 30 ? A. 3 and -10 B. 10 and -3 C. 15 and 2 D. 15 and -2
Answer:
C. 15 and 2
Step-by-step explanation:
Why is the midpoint formula used to calculate elasticity?
The midpoint formula is used to calculate elasticity because it overcomes the limitations of the traditional method.
The old point-slope method has significant drawbacks that are overcome by the midpoint formula, which determines the elasticity of demand. The elasticity of demand refers to how sensitively a good's quantity desired is to a price shift. Inelastic goods are those in which a little price shift causes a large change in quantity demanded, while elastic goods are those in which a small drop causes a small change in quantity demanded.
The conventional point-slope formula for elasticity employs the change in quantity and price at a particular point, which might be deceptive in some circumstances. Contrarily, the midpoint formula determines the elasticity of demand by averaging the quantity and price at the beginning and end and utilising the percentage change in both.
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PLEASE HELP!!! I NEED HELP WITH MY HOMEWORK!!!!
(GEOMETRY)
WILL MARK BRAINLIEST!!!!!!
Answer: v would be root2 and u would be 2
Step-by-step explanation:
Dante deposited $5,000 into an account with an annual interest rate of
3.5%. He plans to deposit an additional $200 each year, just after the
interest is compounded. How much money will Dante have after 4 years?
(round to the penny)
Dante will have $5872.50 after 4 years, when compounded $5,000 into an account with an annual interest rate of 3.5%.
What is interest rate?Simply put, interest is the cost of borrowing money, whether it be through a student loan, a mortgage, or a credit card. When you borrow money, you typically have to pay it back along with interest that is calculated as a percentage of the loan amount. There are a few exceptions, such as when you pay off your credit card balance in full each month or when you have a promotional 0% interest rate.
You might be eligible for lower interest rates if prospective creditors and lenders view your track record of responsible credit behaviour and view you as a low-risk borrower.
The compound interest formula is given by
[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]
Where,
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Here,
A = to find
P = $5,000
r = 3.5%
n = 1
t = 4
Putting the values in the formula
First year
[tex]$A = 5000+ 200(1 + \frac{0.035}{1})^{1}[/tex]
2nd year
[tex]A = 5207+200(1 + \frac{0.035}{1})^{2}[/tex]
3rd year
[tex]A = 5421.245+200(1 + \frac{0.035}{1})^{3}[/tex]
4th year
[tex]A = 5643+200(1 + \frac{0.035}{1})^{4}[/tex]
A = $5872.50
Thus, Dante will have $5872.50 after 4 years, when compounded $5,000 into an account with an annual interest rate of 3.5%.
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which of the following states the phytagorean theorem
The
hypotenuse's square
of a right triangle is equal to the sum of its legs' squares.
What is Pythagorean theorem?
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in
Euclidean
geometry.
According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle.
This theorem can be expressed as the Pythagorean equation, which is an equation connecting the lengths of the sides a, b, and the
hypotenuse
c.
There are several ways to generalize the theorem, including to higher-dimensional spaces, non-Euclidean spaces, objects other than right triangles, and even things that are not triangles at all but n-dimensional solids.
Hence, The hypotenuse's square of a right triangle is equal to the sum of its legs' quares.
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This table represents a quadratic function with a vertex at (1, 0). What is the
average rate of change for the interval from x = 5 to x = 6?
a) 9
b) 7
c) 5
d) 25
The average rate of change for the interval from x = 5 to x = 6 can be calculated by taking the derivative of the quadratic function and evaluating it at the midpoint of the interval (x = 5.5).
Given that the vertex of the function is at (1, 0), the equation of the quadratic function is in the form of:
f(x) = a(x-1)^2 +0
The derivative of the function is:
f'(x) = 2ax - 2a
We know that the vertex of the function is at (1,0), which means that the value of a is 0.
So the derivative of the function is 0.
Therefore the average rate of change for the interval from x = 5 to x = 6 is 0.
What does the purple peace emoji mean?
Therefore , the solution of the given problem of expressions comes out to be it means to promote peace and love.
Expression is what?It is required to multiply, divide, add, or take away in mathematics. The following is how an expression is put together: Number, expression, and mathematical operator The components of a mathematical statement, such as multiplication, subtraction, multiplied, or division, etc., include numbers, variables, and functions. It is possible to contrast expressions and phrases.
Here,
Given : purple peace emoji
Thus,
An easy approach to find a peace sign online is to use the peace symbol emoji,
which is used to signify a variety of emotions such as, well, peaceful, love, unity, harmony, togetherness, and general everyone-getting-along-ness. Sleep well, Divergents Be genuine.
Promote peace and love.
Therefore , the solution of the given problem of expression comes out to be it means to promote peace and love.
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Wyatt runs a farm stand that sells blueberries and raspberries. Each pound of blueberries sells for $1.50 and each pound of raspberries sells for $3. Wyatt sold 12 more pounds of blueberries than pounds of raspberries and made $72 altogether. Graphically solve a system of equations in order to determine the number of pounds of blueberries sold, x, and the number of pounds of raspberries sold, y
In linear equation, The number of pounds of apples is 12 and the number of pounds of raspberries is 20.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Given that, the cost of a pound of apples = $2.25 and the cost of a pound of raspberries = $1.50.
What is an equation?
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of pounds of apples be x, then the number of pounds of raspberries(y) be y=x+ 12
Now, the total cost of apples = The number of pounds of apples × The cost of a pound of apples
=x × 1.50
= 1.50x
The total cost of raspberries = The number of pounds of raspberries × The cost of a pound of raspberries
=(x+12) × 3
=3x+ 36
So, the total cost = The total cost of apples + The total cost of raspberries
⇒ 72 = 1.50x+ 3x+ 36
⇒ 72 = 4.5x + 36
4.5x = 72-36
x = 8
So, y= x+ 12 = 20
Therefore, the number of pounds of apples is 12 and the number of pounds of raspberries is 20.
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arrange the following lengths in ascending order
1)15m 2)7km 3)1,800
Answer:
15m, 1,800cm, 7km
Step-by-step explanation:
Ascending order mean from smallest value to largest value
We know
1km = 1000m
1km = 100000cm
1) 15m = 0.015km
2) 7km
3) 1800cm = 0.018km
So, the order is
15m, 1,800cm, 7km
Which statement could be represented by the following 5m - 12?
Responses
The product of five and a number less than twelve
Twelve less than the product of five and a number
The product of five times a number and negative twelve
The sum of five times a number and twelve
The statement that can be represented by the expression, 5m - 12, is B. Twelve less than the product of five and a number.
What statement is represented by the formula ?The expression given is 5 m - 12. In this formula, the value of m is a mystery number that is multiplied by 5 and then the product of these two numbers is reduced by 12.
This means that representing the formula can be done by saying, Twelve less than the product of five and a number. First the product of 5 and the value of m are found, and then twelve is subtracted from the formula.
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A grocery tore ell pear, where 6 pear cot $9. How much will 8 pear cot at thi rate?
As per the unitary method, the cost of 8 pear is at the rate of $12.
The term unitary method is defined as a process of finding the value of a single unit, and based on this value and then we can find the value of the required number of units.
Here we have given that the grocery store the cost of 6 pear is $9.
Let us consider that x be the cost of one pear.
Here we know that the the cost of 6 pear is $9.
Then the cost of one pear is calculated as,
=> x = 9/6
When we simplify this one then we get, the cost of one pear as,
=> x = 1.5
Therefore, the cost of 8 pear is calculated as,
=> 8 x 1.5
=> 12
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PT=4x+9 and TQ=9x-6
I NEED HELP ASAP
Answer:
x = 3
pt = 18
I used a calculator
=)
PLEASE HELP ASAP!!!!!!!!!
Answer: x=-5
Step-by-step explanation:
first answer
Solve the inequality n - 3/8 > -2/5 for n
The solution of the inequality for n is n > 31/40
What is inequality ?Inequality is a statement of an order relationship greater than or equal to less than between two numbers or algebraic expressions.
Inequalities are not only driven by and measured by income but are also determined by other factors including gender origin, ethnicity, disability, class and religion. Moreover inequalities are determined not only by income but also by other factors.
How to solve the inequality?
The inequality is given as
n minus three eighths is greater than negative two fifths
Rewrite properly as
n - 3/8 > 2/5
Add 3/8 to both sides
n > 3/8 + 2/5
Evaluate the sum
n > 31/40
Hence, the solution of the inequality for n is n > 31/40
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An arithmetic sequence k starts 4,13….. explain how you would calculate the value of the 5000th term
Therefore , the solution of the given problem of arithmetic mean comes out to be a 5000th term = 44995
The definition of arithmetic meanThe sum of all values in a list multiplied by the total no. all items in the list yields the arithmetic average, often known as the group's means. The growth in arithmetic follows a similar pattern. The following equation + 7 + 9 equals 21, but 21 multiplied by 3 (there's several currently three numbers) equals 7, proving that the mean of the numbers 5, 7, while 9 is 4, and the median of the real numbers 5, 8, and 9 is 3.
Here,
Given : sequence is -
=> 4, 13, 17, 18,21...….
a = 4
d = 9
for
=> a 5000th term = a + 4999d
=> a 5000th term = 4 + 4999*9 = 44995
Therefore , the solution of the given problem of arithmetic mean comes out to be a 5000th term = 44995
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Solving systems of equations by elimination calculator
x+y=5, x+2y=7
Answer:
x = 3
y = 2
Step-by-step explanation:
x + y = 5
x + 2y = 7
x = 5 - y
( 5 - y ) + 2y = 7
= 5 + 2y - y = 7
= 5 + y = 7
y = 7 - 5
y = 2
x + ( 2 ) = 5
x = 5 - 2 = 3
What is the formula used for finding the equation of a line given two points?
Answer:
y=mx+c
Step-by-step explanation:
y=mx+c
What is the slope of the given line?
Help me
Please
Answer:
y = -2/3x
Step-by-step explanation:
Use the distributive property to simplify the following expression: 3(−5+2x)
The simplified expression of 3 (-5 + 2x) is -15 + 4x.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
3 (-5 + 2x)
The distributive property of multiplication over addition states that,
a x (b + c) = a x b + a x c
Now,
3 x (-5 + 2x)
3 x (-5) + 2 x (2x)
-15 + 4x
Thus,
The simplified expression is -15 + 4x.
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2(c+1)=10 solve for c
Answer:
c = 4
Step-by-step explanation:
Solve for c:
2 (c + 1) = 10
Divide both sides of 2 (c + 1) = 10 by 2:
(2 (c + 1))/2 = 10/2
2/2 = 1:
c + 1 = 10/2
The gcd of 10 and 2 is 2, so 10/2 = (2×5)/(2×1) = 2/2×5 = 5:
c + 1 = 5
Subtract 1 from both sides:
c + (1 - 1) = 5 - 1
1 - 1 = 0:
c = 5 - 1
5 - 1 = 4:
Answer: c = 4
Answer:
[tex]\boxed{\sf c=4}[/tex]
Step-by-step explanation:
[tex]\sf 2(c+1)=10[/tex]
Distribute:-
[tex]\sf 2c+2=10[/tex]
Subtract 2 from both sides:-
[tex]\sf 2c+2-2=10-2[/tex]
[tex]\sf 2c=8[/tex]
Divide both sides by 2:-
[tex]\sf \cfrac{2c}{2}=\cfrac{8}{2}[/tex]
[tex]\sf c=4[/tex]
Therefore, c = 4!!!
_________________
Hope this helps!
Have a great day!
Given the function h(x)=-x²+4x+12, determine the average rate of change of the function over the interval -1≤x≤8
The average rate of change of h(x) on the interval [-1, 8] is r = -3.6
How to find the average rate of change?For any function, the average rate of change on an interval [a, b] is given by:
r = ( f(b) - f(a))/(b - a)
In this case, the function is:
h(x) = -x^2 + 4x + 12
And we want to find the average rate of change on the interval [-1, 8]
Evaluating the function in these values we will get:
h(-1) = -(-1)^2 + 4*(-1) + 12
h(-1) = -1 - 4 + 12 = 7
h(8) = -(8)^2 + 4*8 + 12 = -20
Then the average rate of change is:
r = ( h(8) - h(-1) )/(8 + 1)
r = (-20 - 12)/9
r = (-32/9) = -3.6
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