According to the question, the line is through the points [tex](0,5)[/tex] and [tex](-2,11)[/tex]
To calculate the slope using standard formula that is :
[tex]m = \frac{(y(2)-y(1))}{(x(2)-x(1))} = \frac{(11-5)}{(-2-0)} =\frac{6}{-2} = -3[/tex]
Now the slope equation will be: [tex]m(x(2)-x(1)) = (y(2)-y(1))[/tex]
[tex]y-5 =(-3)(x-0) = y = -3(x)+5[/tex]
The slope-intercept form is:[tex]y = -3x+5[/tex]
What is the equation of the line?
To represent the set of points in an algebraic form is known as the equation of line. The set of points represent lines in the coordinate system. The parameters can be calculated and those parameters are slope and y-intercept.
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Sunil deposited $400 in an
account. After one and a half
years he withdrew his money and
had earned $78 in interest. What
is the simple interest rate on the
account?
3
The simple interest rate on the account is 13%
Here Sunil deposited $400 for one and a half years, and the interest he gets is $78. He deposits in at the simple rate of interest.
We know that the simple interest formula is
Simple interest = Principle × time × rate/ 100
It is given that,
simple interest = $78
time = 1 [tex]\frac{1}{2}[/tex] year = 3/2 year
Principle = $400
Let the rate of interest be r
So we have
78 =( 400 × 3/2 × r )/100
r =( 78 × 2×100) / (400 × 3)
r = 39%
Therefore the simple interest rate on the account is 13%.
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in recent years, the numbers of cell phones and the numbers of pirates have both increased, so there is a correlation, or association, between those two variables. therefore, pirates cause increases in cell phones
Final answer:
When two variables are correlated or associated, it does not necessarily follow that one of the variables is the root cause of the other. Correlation does not always indicate cause.
What are the three forms of mathematical correlations ?The link between variables is described by correlation. It can be characterized as strong or weak, as well as positively or negatively.
Positive correlation occurs when two variables change in the same direction. There are three fundamental forms of correlation. The two variables fluctuate in opposite directions when there is a negative correlation. No association or meaningful connection exists between the two variables, hence there is no correlation.
The correlation coefficient aids in determining how closely two variables are related in a single figure. Finding the crucial variables that other factors depend on and comprehending economic behavior are both facilitated by correlation analysis.
Explanation:
A correlation test determines whether two variables are related. Nevertheless, just because two variables are traveling together does not necessarily mean they are connected. This is why the phrase "correlation does not indicate causation" is used frequently.
As two factors are connected or related, it does not necessarily imply that one of the variables is the main cause of the other. Correlation not always show cause.
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Find the location of X.
Coordinate of X is [tex]-18[/tex] .
Section formulas are used to find the coordinates of the point that bisects a line segment (external or internal) at a specified ratio. When a point on a line segment divides it into two line segments, the formula used to determine the coordinates of that point is called the section formula. Suppose we have a point P(x,y) that divides a line segment in the ration m : n at points marked as A[tex](x_1,y_1)[/tex] and B [tex](x_2,y_2)[/tex] the , section formula is given by [tex]P(x,y)=(\frac{mx_2+nx_1}{m+n} ,\frac{my_2+ny_1}{m+n} )[/tex]It is given that coordinate of W ( -22, 0) and Y(-2,0) and X is the point which divides the line segement WY in ratio 1 : 4.
By using section's formula , we get
[tex](x,y)=(\frac{1(-2)+4(-22)}{1+4} , \frac{1(0)+4(0)}{1+4} )\\\\(x,y)=(\frac{-2-88}{5} ,\frac{0}{5} )\\\\(x,y)=(\frac{-90}{5} ,0)\\\\(x,y)=(-18,0)[/tex]
On comparing we get the location of X
-18
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solve the equation n-6= -12
Answer: It is -6
Step-by-step explanation:
1. Add 6:
n - 6 +6 = -12 +6
2. Simplify and complete:
n = -6
find y intercept when y=3x-1
Answer:
Y-intercept is -1
Step-by-step explanation:
Slope-intercept form:
y=mx+b
b=y-intercept
m=slope
y=3x-1
b=-1
Hope this helps!
Please mark as brainliest if correct!
4. Which equation is perpendicular to the line y = 3 and passes through the point (-1,3)
The equation that is perpendicular to the line is x = -1
How to determine the equation that is perpendicular to the line?The line equation is given as
y = 3
The point is also given as:
(x, y) = (-1, 3)
A linear equation is represented as
y = mx + c
Where m represents the slope
This means that y = 3 can be represented as
y = 0x + 3
So, the slope is 0
Since the slope is 0, the equation of the perpendicular line must be
x = xt
Where
(xt, y) = (-1, 3)
By comparison, we have
x = -1
Hence, the equation that is perpendicular to the line is x = -1
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factor this 4r³ - 3r²-4r +3
Answer:
(4r - 3)(r + 1)(r - 1)
Step-by-step explanation:
In order to factor the polynomial [tex]\sf 4r^3 - 3r^2 - 4r + 3[/tex], we can use various factoring methods.
In this case, we can use grouping.
Let's break down the expression and factor it step by step:
Group the terms in pairs:
(4r^3 - 3r^2) +(-4r + 3)
Factor out the greatest common factor from each group:
[tex]\sf r^2(4r - 3) - 1(4r - 3)[/tex]
Notice that both groups have a common factor of (4r - 3): and keeping remaining in bracket
[tex]\sf (4r -3)(r^2-1)[/tex]
Now, the expression r² - 1 can be factored further using the difference of squares:
(r + 1)(r - 1)
So, the fully factored form of the polynomial 4r³ - 3r² - 4r + 3 is:
(4r - 3)(r + 1)(r - 1)
Ordinarily, these two tests, confirmations and estimating allowance for doubtful accounts, focus on which primary concerns and audit objective(s) for accounts receivable?
Existence and value - Are the accounts for the AR really there, and can they be collected.
What are accounts receivable?Money owed to a business in the near future is represented by the asset account known as accounts receivable on the balance sheet. When a business permits a customer to pay for its products or services on credit, accounts receivable are generated. Similar to accounts receivable, accounts payable tracks money that is due as opposed to money that will be collected. The ratio of accounts receivable to sales outstanding or days sales outstanding can be used to determine how strong an organization's AR is. To determine when the AR will really be received, a turnover ratio study might be performed.
Briefing:Existence is an audit affirmation that the auditor must examine to ensure that all accounts receivable are present.
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what is 52 divide by 7540
Answer:
145 I think
Step-by-step explanation:
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a bike wheel. the weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. what is the weight of each tire in pounds? there are 453.592 grams in one pound. round answers to 2 decimal places.
According to the given statement the weight of each tire in pounds:
For 800 grams = 1.76 pounds.
For 700 grams = 1.54 pounds.
What significance does the weight conversion of typical baking ingredients have?For dry substances, it's crucial to convert to weight. While most recipes
meant for home chefs express the components by volume, most recipes in industrial kitchens express essential ingredients by weight.
How are conversion factors used?A conversion factor is indeed a number that is used to multiply or divide one set of units into another. If a conversion is necessary, it must be carried out with the right conversion factor to produce a value that is identical. That example in the case, when translating between inches and feet, 12 inches equals one foot.
According to the given data:800 grams must be converted to pounds.
(1 pound =453.592 x= 800)
800 must be divided by 453.592 to get the number 1.763699. To round it up: 1.76
We now repeat this for 700.
1,5432 when 700 is divided by 453.592. Rounding that down, we get: 1.54
The given statement the weight of each tire in pounds:
For 800 grams = 1.76 pounds.
For 700 grams = 1.54 pounds
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A director of a company notices that there is a nonlinear
relationship between the company's sales revenue and
customer satisfaction. Here are the data for the past six
months.
Sales Revenue
(Millions of $)
1.5
4
6
8
10
11
Customer Satisfaction
(Scale: 1-100)
78
75
62
50
35
15
Examine the scatterplots provided in this graphic.
Which one correctly displays these data?
O Scatterplot A
O Scatterplot B
O Scatterplot C
O Scatterplot D
Answer:
O Scatterplot C
Step-by-step explanation:
Sales Revenue
(Millions of $)
1.5
4
6
8
10
11
Customer Satisfaction
(Scale: 1-100)
78
75
62
50
35
15
Examine the scatterplots provided in this graphic.
Which one correctly displays these data?
You have $30 to buy baseball cards. Each pack of cards costs $5. Write and solve an
inequality that represents the numbers of packs of baseball cards you can buy and
still have at least 40% of your money left.
Answer:
Your initial inequality should be 5x < 30
Step-by-step explanation:
I saw it on a answer similar to yours but it said "have at least 10$ of your money left"
A $400 deposit for 7 years at a compound interest rate of 2%
Answer:
$459.47
Hope this helps!
Given g(x) = 1/3 (2x-1) 2, what is the value of g(8)?
By evaluating in x = 8 we can see that the value of g(8) is 45.
How to evaluate the function g(x)?
Here we have the function:
g(x) = (1/3)*(2x - 1)^2
We want to get the value of g(8), this means that we need to evaluate the function in x = 8.
To do this, we just need to replace the variable "x" in the equation by the number 8.
We will get:
g(8) = (1/3)*(2*8 - 1)^2 = (1/3)*(15)^2 = 3*15 = 45
g(8) = 45
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Find the surface area of that part of the plane 4x 5y z=74x 5y z=7 that lies inside the elliptic cylinder x225 y2100=1
Solve for [tex]z=f(x,y)[/tex] in the plane equation.
[tex]4x + 5y + z = 7 \implies f(x,y) = z = 7 - 4x - 5y[/tex]
Let [tex]E[/tex] be the set of points in the plane [tex]z=0[/tex] bounded by the ellipse [tex]\frac{x^2}{25}+\frac{y^2}{100}=1[/tex], i.e.
[tex]E = \left\{(x,y) ~:~ \dfrac{x^2}{25} + \dfrac{y^2}{100} \le 1\right\}[/tex]
Then the area of the plane bounded by the elliptic cylinder is
[tex]\displaystyle \iint_E dA = \iint_E \sqrt{1 + \left(\dfrac{\partial f}{\partial x}\right)^2 + \left(\frac{\partial f}{\partial y}\right)^2} \, dx \, dy \\\\ ~~~~~~~~ = \iint_E \sqrt{1 + (-4)^2 + (-5)^2} \, dx\, dy \\\\ ~~~~~~~~ = \sqrt{42} \iint_E dx \, dy[/tex]
which is simply √42 times the area of the ellipse in the plane [tex]z=0[/tex]. This ellipse has a minor axis of length 5 and a major axis of length 10, so its area is π•5•10 = 50π, and so the area of the plane in question is 50√42 π.
To confirm this result: In polar coordinates, with
[tex]\begin{cases}x(r,\theta) = 5r\cos(\theta) \\ y(r,\theta) = 10r\sin(\theta) \\ \frac{x^2}{25}+\frac{y^2}{100}=r^2\end{cases}[/tex]
the area element is
[tex]dA = \begin{vmatrix}\frac{\partial x}{\partial r}&\frac{\partial x}{\partial\theta} \\ \frac{\partial y}{\partial r} & \frac{\partial x}{\partial\theta}\end{vmatrix} \, dr \, d\theta \\\\ ~~~~~~~~ = \begin{vmatrix}5\cos(\theta)&-5r\sin(\theta)\\10\sin(\theta)&10r\cos(\theta)\end{vmatrix} \, dr \, d\theta \\\\ ~~~~~~~~ = \left(50r\cos^2(\theta)+50r\sin^2(\theta)\right)\,dr\,d\theta \\\\ ~~~~~~~~ = 50r \, dr \, d\theta[/tex]
The ellipse can be parameterized by
[tex]E = \left\{(r,\theta) ~:~ 0\le\theta\le2\pi \text{ and } 0\le r\le1\right\}[/tex]
so that the integral for the area of the ellipse in the plane [tex]z=0[/tex] is
[tex]\displaystyle \iint_E dA = \int_0^{2\pi} \int_0^1 50r \, dr \, d\theta \\\\ ~~~~~~~~ = 100\pi \int_0^1 r \, dr \\\\ ~~~~~~~~ = 100\pi\left(\frac12-0\right) = 50\pi[/tex]
f(x) = x + 4x³, find the value of f(-1)
We get the value of f ( - 1 ) as - 5 for the function f (x) = x + 4 x³.
We are given a function:
f (x) = x + 4 x³
A function from a set X to a set Y assigns to each element of X exactly one element of Y.
We need to find the value of f ( - 1 )
We will do this by substituting the value of x as - 1
Put x = -1, we get that:
f ( x = -1 ) = ( - 1 ) + 4 ( - 1 )³
f ( - 1 ) = - 1 + 4 ( - 1 )
f ( - 1 ) = - 1 - 4
Simplifying the function:
f ( - 1 ) = - 5
Therefore, we get the value of f ( - 1 ) as - 5 for the function f (x) = x + 4 x³.
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Find the equation of a line parallel to\hspace{4px}x-3y=3\hspace{4px}x−3y=3that passes through the point (-3,-5)(−3,−5).
Answer:
something
Step-by-step explanation:
something
The equation of the line is x - 3y = 12 which is parallel to the line x - 3y = 3 and passes through (-3, -5).
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The equation of the line is:
x - 3y = 3
Parallel to the above line:
x - 3y = c
Plug x = -3 and y = -5
-3 + 15 = c
c = 12
x - 3y = 12
Thus, the equation of the line is x - 3y = 12 which is parallel to the line x - 3y = 3 and passes through (-3, -5).
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Im not understanding this, Can someone help ?
1. Write a word description of the set.
S={January, June, July}
Answer:
X:X is the same as the letter J
Consecutive numbers are whole numbers that follow in order such as 7, 8, 9 10, 11, 12. find three consecutive numbers such as the sum of the first and third is 118
The three consecutive numbers are 58, 59 and 60.
Consecutive numbers are the numbers that follow each other continuously in a sequence from smallest number to largest number.
Let the first number = x
Let the second number = y
And Let the third number = z
As given in the question that the sum of the first and third number is 118, So we can write mathematically as
x + z = 118
The first and third numbers are 58 and 60 and their sum is 118.
The second number automatically will be 59.
So, the three consecutive numbers are 58, 59 and 60.
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Find The Next Three Terms of the geometric sequence 4,2,1,1/2,...
Thank You...
Step-by-step explanation:
1/4, 1/8, 1/16. :)
You're welcome :)
Can someone please help with this? I need step by step on how to solve
Answer:
8
Step-by-step explanation:
You times 4 by 4 since it's squared =16
You have to times 2 by 2 by 2 like this=8
2x2=4 4x2=8
then subtract them= 16-8= 8
put it over the line where 4 and 2 were
after you subtract 5 and 3= 2
than times 2 by the squared= 2x2= 4
times the 2 with 4= 8
put the 8 under the line so you can divide it
8 divided by 8 is 1
lastly, add 7 and 1= 8
=8
the answer is eight
four squared is 16 and two cubed is eight so sixteen minus eight is eight then five minus three is two then you would figure out what 2 squared us and its four so two times four is eight so the first part is eight over eight which is one and one plus seven in eight
Han made some hot chocolate by mixing 4 cups of milk with 6 tablespoons of cocoa. How many cups of milk per tablespoon of cocoa is that?
Answer:
24
Step-by-step explanation:
4 x 6 = 24
Determine whether the conclusion is based on inductive or deductive reasoning.Holly notices that every Saturday, her neighbor mows his lawn. Today is Saturday. Holly concludes her neighbor will mow his lawn.
Based on the explanation that is provided below, Holly's conclusion is based on inductive reasoning.
What is the difference between inductive and deductive reasoning?Inductive reasoning can be described as reasoning whose conclusion is based on a pattern of observations.
On the other hand, deductive reasoning refers to reasoning whose conclusion is based on a fact.
As Holly notices that every Saturday, her neighbor mows his lawn, this shows a pattern of observations.
This, therefore, implies that Holly's conclusion is based on inductive reasoning.
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Anita states that in her experience, a jar can hold 288 marbles. How accurate is Anita’s statement? Explain.
The statement that is made by Anita is not accurate.
Is the statement true?We know that a statement can only be true if it could be proven beyond every reasonable doubt. If the statement can not be proven, then it is a mere assertion. It does not hold water empirically and it can not be the basis for argumentation. It is just a mere guess and may not in any way be thought to reflect the reality of the situation.
In this case, the statement that has been made by Anita is that a jar can hold 288 marbles. How accurate is Anita’s statement. This statement can not be backed by any kind of empirical proof because the marbles were not counted individually. The statement is at best probable and may not reflect the actuality of the situation.
Hence the statement that has been made by Anita is a mere guess and it does not reflect the actual number of the marbles that are found in the container.
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Find the complement of the set given that u = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. (enter your answers as a comma-separated list.) {x | x is in n and x < 6}
A = { 0,6,7} is the complement of the set given.
What is the set in math?
Any grouping of items (elements) in mathematics and logic, whether or not they are mathematical (such as numbers and functions). A list of all the members of a set, wrapped in braces, is a typical way to represent a set. Even older than the concept of number is the intuitive conception of a set.What is sets and its types?
A set is referred to as a well defined group of objects. These things are referred to as set elements. Various sets are categorized based on how many components they include. Sets are essentially a grouping of unique components of the same type.Given U = { 0,1 , 2 , 3, 4,5,6,7 }
Let set A = { x/x < 6 and x ∈ NI}
A = { 1,2,3 ,4,5}
∴ AC = Complement of A = { 0,6,7}
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please help!!!!!!!!!!!!!!!!
Answer:
the answer is simple you just p times a
and d
Step-by-step explanation:
:]
Answer:
hope this help you
Step-by-step explanation:
p times x and d
Solve the equation by completing the square.
x2 − 10x + 26 = 8
Fill in the values of a and b to complete the solutions.
The values of a and b are:
a = 5 + √7
b = 5 - √7
Given data
x2 − 10x + 26 = 8
How to solve by completing x2 − 10x + 26 = 8 the squareTransform the equation to standard quadratic equation by equating to zero
x2 − 10x + 26 = 8
x2 − 10x + 26 - 8 = 0
x2 − 10x + 18 = 0
x2 − 10x + 18 + 5^2 - 5^2 = 0
x2 − 10x + 25 = 25 - 18
(x-5) (x-5) = 7
(x-5)^2 = 7
(x-5) = √7
x = 5 + √7
x = 5 - √7
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Drag the tiles to the boxes to form correct pairs.
Consider functions fand g.
f (x) = 1 - ²
g(x)
Evaluate each combined function, and match it to the corresponding value.
ہے
4
= √11 - 4x
√3-3
√15
-3√3
(g- f)(-1)
(g. f)(2)
(g + f)(2)
(4) (-1)
0
The numeric values of the functions are given as follows:
[tex](g - f)(-1) = \sqrt{12}[/tex](g x f)(2) = 9.(g + f)(2) = 0.[tex]\frac{f}{g}(-1) = 0[/tex]How to find the numeric value of a function/expression?To find the numeric value of a function, we replace each instance of the variable by the desired value.
For this problem, the functions are given as follows:
f(x) = 1 - x².[tex]g(x) = \sqrt{11 - x}[/tex]At x = -1, the values are given as follows:
f(-1) = 1 - (-1)² = 1 - 1 = 0.[tex]g(-1) = \sqrt{11 - (-1))} = \sqrt{12}[/tex]Hence:
[tex](g - f)(-1) = g(-1) - f(-1) = \sqrt{12}[/tex][tex]\frac{f}{g}(-1) = \frac{f(-1)}{g(-1)} = \frac{0}{\sqrt{12}} = 0[/tex]At x = 2, the values are given as follows:
f(2) = 1 - (2)² = 1 - 4 = -3.[tex]g(2) = \sqrt{11 - 2} = \sqrt{9} = 3[/tex]Hence:
(g x f)(2) = -3 x 3 = 9.(g + f)(2) = 3 - 3 = 0.More can be learned about the numeric values of a function at brainly.com/question/28367050
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What are the intercepts for the function y=-x-1 graphed bellow
Answer:
The intercept is - 1.
Hope this helps :)
Step-by-step explanation:
In the function y = - x - 1 the initial value which is the y-intercept is - 1, and the line intercepted at -1 on the y-axis. Also, the line on the graph also intercepted at - 1 on the x-axis too. So the interceptes is - 1.