Plotting the relationship between the number of hours studied and exam results reveals a negative correlation curve, where the exam results get worse as the number of hours studied rises.
The point (10,70) would be plotted on the negative correlation curve, for instance, if a student spent 10 hours studying and received a 70 on their exam. A downward sloping negative correlation curve would result as study time increased and exam score decreased. A graph illustrating the relationship between two variables, where an increase in one variable is accompanied by a drop in the other, is called a negative correlation curve. Numerous various types of situations, such as the amount of hours studied and exam results, might demonstrate this type of link. Exam scores typically decline as the amount of study time increases.
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What’s the answer for this problem
Answer:-8
Step-by-step explanation:
f(x)=-3x-2
f(2)=-3(2)-2
-6 - 2=
-8
Determine if the following statement is true or false.
When two events are disjoint, they are also independent.
The statement, When two events are disjoint, they are also independent is false.
In a sample space, we can use probability laws to determine the probabilities of these events and how they relate to each other. Disjoint Events: Two events are non-overlapping or mutually exclusive if they have no common outcome. Mathematically, this can be written as, P(B ∩ A) = 0 --(1)
Independent Events: Events are independent when they do not "affect" the probability of another event occurring. Mathematically written as:
P(B/A) = P(B) P(A and B)
=> P(B ∩ A) = P(B) × P(A) --(2)
(1) ) and (2) events cannot be independent unless they overlap. That is, if events do not overlap, they are also dependent. Hence, disjoint events are not independent that means the above statement is false.
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please help me with this question
Which equations represent nonlinear functions?
The equations that represent nonlinear functions include the following:
C. m(x) = 8^x
F. f(x) = 8x^2 + 8x.
What is a linear function?In Mathematics, a linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
This ultimately implies that, a linear function has the same slope and it is typically used for uniquely mapping an input variable to an output variable, which both increases simultaneously.
In conclusion, m(x) = 8^x represents an exponential function while f(x) = 8x^2 + 8x represents a quadratic function.
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please help me on this
Answer: 7/14
Step-by-step explanation:
first you have to find common denominators to do that the simplest way I can think of is to multiply the 7x2 to get 14 and what you have to do to the bottom is what you do to the top.then you get 12/14-5/14after that you subtract the numerators, and you get...7/14which is your final answerHow do you find eigenvalues and eigenvectors on a calculator?
Eigenvalues and eigenvectors can be found using a calculator by solving the equation Ax = λx, where A is a matrix, x is the eigenvector, and λ is the eigenvalue.
To solve this equation, you first need to calculate the determinant of the matrix A, which is written as |A|. If the determinant is not equal to zero, then you can calculate the eigenvalue by dividing the trace of the matrix (the sum of the diagonal elements) by the number of rows or columns of the matrix. The eigenvalues can then be substituted into the equation to solve for the corresponding eigenvector. For example, for a 2x2 matrix A, the eigenvalues can be found by calculating |A| and then solving the equation λ^2 - (trace of A) * λ + |A| = 0. The eigenvectors can then be found by plugging the eigenvalues into the equation Ax = λx and solving for x.
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How many solutions does the equation have?
9x + 2 = 3x + 5
Answer:
it has 1 solution of 1/2 or decimal form of 0.5
Santiago’s total budget for the materials to build the ramp and the foam pit is 3,000. With his current design, will he be over budget or under budget, and by how much?
Total cost to build the ramp is $1467.4. Santiago’s has over budget to build the ramp.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
Here,
Area of 2 rectangles is
2(Length×Width)
= 2(20×12)
= 480 square feet
Area of small rectangle = 12×8.5
= 102 square feet
Area of 2 triangles = 1/2×Base×Height
= 1/2 ×20×8.5
= 85 square feet
Total area = 480+102+85
= 667 square feet
Total cost to build the ramp = 667×2.20
= $1467.4
Santiago’s total budget for the materials to build the ramp and the foam pit is $3,000.
Hence, Santiago’s has over budget to build the ramp.
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"Your question is incomplete, probably the complete question/missing part is:"
The material Santiago will use to build the ramp cost $2.20 per square foot. Find the total cost of materials for the ramp? All sides are; 21.7, 20, 12 for perimeter and 8.5 for the height.
Santiago’s total budget for the materials to build the ramp and the foam pit is 3,000. With his current design, will he be over budget or under budget, and by how much?
5а = 4(3 - а)
Como puedo resolver esto que no entiendo
Tell Me Which property the statement represents, algebraic like commuative or distributive thanks
1.8+9=q+18
5+(6+b)=(5+6)+b
2+y +4 = y+2+4
The system of equations that has a solution of approximately (1.8, –0.9) are: x+2y=0 and 6x-5y=15
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Here, we have,
we are given the following equations:
i) x-2y= 4
ii) 4x+5y= 8
iii) 6x-5y=15
iv) x+2y=0
Required:
Which system of equations has a solution of approximately (1.8, –0.9).
To find the approximate equations, substitute x and y for 1.8 and -0.9 into all the equations respectively and check the resulting values
i) Substitute (1.8, -0.9) in x-2y= 4:
1.8 - 2(-0.9) = 4.
1.8 + 1.8 = 4.
3.6 ≠ 4.
ii) Substitute (1.8, -0.9) in 4x+5y= 8
4(1.8) + 5(-0.9) = 8
7.2 - 4.5 = 8.
2.7 ≠ 8.
iii) Substitute (1.8, -0.9) in 6x-5y=15
6(1.8) - 5(-0.9) = 15.
10.8 + 4.5 = 15
15.3 ≠ 15.
This equation has a solution that is close, therefore it is correct.
iv) Substitute (1.8, -0.9) in x+2y=0
1.8 + 2(-0.9) = 0.
1.8 - 1.8 = 0.
0 = 0.
x + 2 y = 0 has the exact value, therefore it is also correct.
The system of equations that has a solution of approximately (1.8, –0.9) are: x+2y=0 and 6x-5y=15
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Find:
10% of 240
b) 60% of 150
C) 75% of 280
Answer:
24
Step-by-step explanation:
Write 10% as 10/100
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have 10/100 of 240 = 10/100×240
Therefore, the answer is 24
From tuesday to friday, noel, the supplier delivered 350 yards of ribbon per day. From saturday to monday, he delivered 700 yards of ribbon per day. What was the average length of ribbon that noel delivered per day?.
Noel delivered an average of 500 yards of ribbon per day from Tuesday to Monday.
The central value represents the typical or average value of all the numbers in the set.
From Tuesday to Friday, Noel delivered 350 yards of ribbon per day, a total of 4 days. So, the total length of ribbon that he delivered during this period is
=> 4 * 350 = 1400 yards.
From Saturday to Monday, he delivered 700 yards of ribbon per day, a total of 3 days. So, the total length of ribbon that he delivered during this period is
=> 3 * 700 = 2100 yards.
To find the average length of ribbon that Noel delivered per day, we need to find the total length of ribbon he delivered in both periods and divide it by the total number of days.
The total length of ribbon he delivered in both periods is
=> 1400 + 2100 = 3500 yards.
The total number of days is
=> 4 + 3 = 7 days.
So, the average length of ribbon that Noel delivered per day is
=> 3500/7 = 500 yards.
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S
A store sells a toy car for $1 less than twice what it costs to make the car.
1. Make a table to relate the selling price, s, to the cost of making the
car, c. Then graph the ordered pairs on the coordinate plane.
с
1
2
3
S
1
2. Write an equation that describes the relationship.
selling price = 2 times the cost minus $1
1
s=_2 x
3. What is the selling price of a toy car that costs $4
to make?
7
6
5
4
3
2
1
S
0
0 1 2 3 4
The appropriate values in the table will be:
Cost selling price
1. 1
2. 3
3. 5
How to calculate the priceFrom the information, the store sells a toy car for $1 less than twice what it costs to make the car.
It should be noted that the selling price when the cost price is $1 will be:
= (2 × $1) - $1
= $1
It should be noted that the selling price when the cost price is $2 will be:
= (2 × $2) - $1
= $3
It hould be noted that the selling price when the cost price is $3 will be:
= (2 × $3) - $1
= $5
The equation that shows the relationship will be:
Selling price = 2c - 1
The selling price when cost price is $4 will be:
=(2 × $4) - 1
= $7
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What is the domain of the function y =√x+6-7 ?
x>_-7
x>_-6
x>_6
x>_7
Answer: B: x ≥ -6
hope this helps
Solve the problem bellow
If the roots of x^2+4mx+4m^2-m-1=0 then, m is
The value of m from the quadratic equation is m = -1/5 or m = 1
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
x² + 4mx + 4m² - m - 1 = 0 be equation (1)
Now , sum of the roots of the equation = -b/a
where b = 4m and a = 1
So , so the sum of the roots = -4m
From the Vieta's formula , we get
-4m = ( -1 - 4m² + m ) / 1
On simplifying the equation , we get
5m² - 4m - 1 = 0
On factorizing the equation , we get
5m² - 5m + m - 1 = 0
5m ( m - 1 ) + 1 ( m - 1 ) = 0
Taking the common terms in the equation , we get
( 5m + 1 ) ( m - 1 ) = 0
when ( 5m + 1 ) = 0
Subtracting 1 and dividing by 5 on both sides , we get
m = -1/5
when ( m - 1 ) = 0
Adding 1 on both sides , we get
m = 1
So , the two values of m are
m = -1/5 and m = 1
Hence , the equation is solved
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What is the golden ratio of Fibonacci?
The golden ratio of Fibonacci, also known as the divine proportion, golden mean, or golden section, is a mathematical constant that is approximately equal to 1.618033988749895.
It is represented by the Greek letter phi (φ) and is found by dividing a line into two parts so that the longer part divided by the smaller part is also equal to the whole length divided by the longer part.
In mathematical terms, the golden ratio is expressed as:
φ = (1 + √5) / 2
The golden ratio is closely related to the Fibonacci sequence, which is a series of numbers where each number is the sum of the two preceding ones, usually starting with 0 and 1. The ratio of consecutive numbers in the Fibonacci sequence converges to the golden ratio as the sequence progresses.
For example, the first few numbers in the Fibonacci sequence are:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ...
As we divide each number by the one before it, we get closer and closer to the golden ratio:
1/1 = 1
2/1 = 2
3/2 = 1.5
5/3 = 1.666...
8/5 = 1.6
13/8 = 1.625
21/13 = 1.615...
34/21 = 1.619...
55/34 = 1.617...
89/55 = 1.618...
144/89 = 1.618...
As you can see, the ratio of consecutive numbers in the Fibonacci sequence approaches the golden ratio as the sequence progresses. This is why the golden ratio is often referred to as the golden ratio of Fibonacci.
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Solve the system of equations − 3 � + 7 � = − 18 −3x+7y=−18 and 4 � − 4 � = 8 4x−4y=8 by combining the equations.
The solution of the Equation is x=1 and y= -3.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
-3x + 7y = -18...........(1)
4x - 4y = 8.................(2)
Solving equation (1) and (2) we get
-12x + 28y = -72
12x - 12y = 24
____________
16y = -48
y= -48/ 16
y = -3.
and, -3x + 7(-3) = -18
-3x = 3
x= -1
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help with this please
Which of the following shows a correct method to calculate the surface area of the cylinder?
cylinder with diameter labeled 3.2 feet and height labeled 3.8 feet
SA = 2π(1.6)2 + 3.2π(3.8) square feet
SA = 2π(1.6)2 + 1.6π(3.8) square feet
SA = 2π(3.2)2 + 3.2π(3.8) square feet
SA = 2π(3.2)2 + 1.6π(3.8) square feet
The following equations should be used to calculate the cylinder's surface area = SA = 2πr² + 2πrh. As a result, the suggested options do not include the correct approach.
How to calculate the surface area of cylinder?Where h is the cylinder's height and r is the cylinder's radius.
The radius is equal to half of the diameter, or 1.6 feet, given that the diameter is 3.2 feet. And it stands 3.8 feet in height.
As a result, the following is the appropriate formula to get the cylinder's surface area:
SA is = 2.16 plus 2.16.3.8 square feet.
When we abbreviate the phrase, we get:
SA = 2.56 + 2.08 square feet
SA = 5.12 plus 12.16 square fee
SA = 17.28 square feet.
As a result, the suggested options do not include the correct approach.
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The surface area of the given cylinder is given by the equation:
SA = 2π (1.6)² + 3.2π(3.8) square feet
What is meant by a cylinder?
One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. One of the fundamental three-dimensional shapes in geometry is the cylinder, which has two distant, parallel circular bases. At a predetermined distance from the centre, a curved surface connects the two circular bases. The axis of the cylinder is the line segment connecting the centres of two circular bases. The height of the cylinder is defined as the distance between the two circular bases.
The surface area of the cylinder is the sum of the area of the curvilinear surface and the areas of the top and bottom circular bases.
Now the area of the curved surface = 2πrh
Area of bases = πr² + πr² = 2πr²
where,
r = radius of the cylinder
h = height of the cylinder
Given,
r = 3.2 / 2 = 1.6 feet
h = 3.8 feet
Substituting,
Surface area SA = 2πrh + 2πr² = 2π * 1.6 * 3.8 + 2π (1.6)²
= 2π (1.6)² + 3.2π(3.8) square feet.
Therefore the surface area of the given cylinder is given by,
SA = 2π (1.6)² + 3.2π(3.8) square feet.
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how much 60.5 kg in lbs?
The weight 60.5 kg is equal to approximately 133.38 pounds. This conversion was done using the formula 60.5 kg x 2.20462 lbs/kg = 133.37851 lbs.
We know that 1 kg is equivalent to 2.20462 pounds, which means that we can convert kilograms to pounds by multiplying the weight in kilograms by the conversion factor 2.20462.
So to convert 60.5 kg to pounds, we can use the following formula:
60.5 kg x 2.20462 lbs/kg = ? lbs
Multiplying 60.5 by 2.20462 gives us:
60.5 x 2.20462 = 133.37851
Therefore, 60.5 kg is equivalent to 133.37851 pounds.
Finally, we can round this result to two decimal places to get:
60.5 kg is approximately equal to 133.38 pounds.
So the final answer is that 60.5 kg is equivalent to approximately 133.38 lbs.
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2) Andrew brought packs of biscuit. Create a graph to determine if the
number of packs and price are proportional for each serving size listed in the
table. If the quantities are proportional, what is the constant of
proportionality or unit rate that defines the relationship? Explain how the
constant of proportionality was determined and how it relates to both the
table and graph.
The constant of proportionality of the graph is 8.
What is constant of proportionality?Constant of proportionality is the constant value of the ratio between two proportional quantities.
Given that, a table, of price of the number of pack of biscuits,
We are asked to find the constant of proportionality or unit rate that defines the relationship,
Unit rate is a rate for one of something.
Here, let us consider the number of packets be x and price be y,
x and y are proportional, therefore,
y = kx, here k is the constant of proportionality,
Put y = 8 and x = 1
8 = k
Similarly, if we check for other values we will get 8
[graph is attached]
Hence, the constant of proportionality of the graph is 8.
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Write a quadratic equation with a vertical shrink of 1/3, shifts left 2 and down 5.
The quadratic function is y = 1/3(x + 2)^2 - 5
How to determine the quadratic functionThe parent function of a quadratic function is represented as
y = x^2
From the question, we have the following parameters that can be used in our computation:
vertical shrink of 1/3, shifts left 2 and down 5.
This means that
y = a(x + h)^2 + k
Where
a = 1/3
h = 2
k = -5
So, we have
y = 1/3(x + 2)^2 - 5
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100 points Your friend says the solution to 6x+14x-9=4(5x+1) is x=13. Solve 6x+14x-9=4(5x+1). What was your friend's likely error?
The equation 6x + 14x - 9 = 4( 5x + 1 ) has no solution.
What is the solution to the given equation?Given the equation in the question;
6x + 14x - 9 = 4( 5x + 1 )
To solve the equation, first apply distributive property to remove the parenthesis.
6x + 14x - 9 = 4( 5x + 1 )
6x + 14x - 9 = 4 × 5x + 4 × 1
Multiply 4 and 5x
6x + 14x - 9 = 20x + 4 × 1
Multiply 4 and 1
6x + 14x - 9 = 20x + 4
Next, collect and add like terms.
Subtarct 20x from both sides
6x + 14x - 20x - 9 = 20x - 20x + 4
6x + 14x - 20x - 9 = 4
Add 9 to both sides
6x + 14x - 20x - 9 + 9 = 4 + 9
6x + 14x - 20x = 4 + 9
20x - 20x = 4 + 9
20x - 20x = 13
0 = 13
Therefore, there is no solution to the equation.
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Select all that are the zeros of the function f(x) = x² = 5x - 24?
Select 2 correct answer(s)
-3
I don't know
2.5
8
-24
The two zeros of the equation are -3,8.
What are zeros?The zeros of any equation lie on the x axis.On x axis y=0.The zeros can be found by substituting y=0 and finding the corresponding y values.
here, we have,
The given equation is :
f(x) = x² - 5x - 24
Comparing it with quadratic equation
y = ax^2+bx+c
We have a=1,b=-5,c=-24.
To find the zeros we substitute y=0.
x² - 5x - 24= 0
WE need to find two numbers which on multiplication will give us ac that is 1(-24)=-24.The same numbers on addition should give us b=-5.
The two numbers are -8 and 3.-8 times 3=-24 and -8+3=-5.
The factors of the equation are (x+8)(x-3)=0
making both factors =0 we have:
x+8=0 and x-3=0
Solving for x
x=-8 and x=3.
Hence, The two zeros of the equation are -3,8.
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At the corner store, you can buy 5 super-size granola bars for $10. How much does a single super-size granola bar cost?
Answer:
3
Explanation:
Based on the given conditions, formulate: 3
Cross out the common factor: 3
get the result:3
Answer: 3
Answer:
2$
Step-by-step explanation:
10/5=2
3/4 = 9/n solve for n please help
Answer:
Step-by-step explanation:
12
expressions that are tested by the if statement are called ______
Expressions that are tested by the 'if' statement is called conditions.
A condition is an expression that evaluates to either 'True' or 'False', and it determines whether the code block within the 'if' statement is executed. The 'if' statement allows the program to make decisions and execute different codes based on whether the condition is 'true' or 'false'. For example, in Python, an 'if' statement might look like this:
if x > 10:
print("x is greater than 10")
In this example, the condition being tested is 'x > 10', which will evaluate as 'True' or 'False' depending on the value of x. If the condition is 'True', then the code block within the 'if' statement (in this case, the print statement) will be executed. If the condition is 'False', then the code block within the 'if' statement will be skipped.
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How do you calculate percent recovery during recrystallization?
Percent recovery = amount of substance you actually collected / amount of substance you were supposed to collect, as a percent.
So another way of putting it:
Percent Recovery = (pure/impure) x 100
Let's say you had 10.0g of impure material and after recrystallization you collected 7.0 g of dry pure material. Then your percent recovery is 70% (7/10 x 100).
You need to make sure you material is dry or else the mass will be more than it actually is. That's why students sometimes calculate percent recoveries greater than 100% (which is impossible).
The formula for calculating percent recovery is
Percent recovery = (mass of purified compound obtained / mass of original compound) x 100
Percent recovery is an important parameter used in recrystallization to determine the efficiency of a purification process. It refers to the percentage of the original material that is recovered after the recrystallization process.
To calculate percent recovery, first, the mass of the original sample is measured before the recrystallization process. After the process is completed, the mass of the purified compound is measured, which is obtained from the recrystallization.
The mass of the purified compound is then divided by the mass of the original compound and multiplied by 100 to get the percent recovery. A high percent recovery indicates that the recrystallization process was successful in separating the target compound from the impurities, and the final product is relatively pure.
A low percent recovery may indicate that the recrystallization process was not efficient in separating the target compound from impurities, or that some of the target compound was lost during the process. Thus, percent recovery is a crucial parameter that determines the success of a recrystallization process.
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Complete question is:
How do you calculate percent recovery during recrystallization?
Which of the following is equal to
The expression equal to 5¹/₃ is ∛5 (option B)
What is an expression?The definition of an expression in math is a statement composed of terms and operations. The terms may be constant (numbers), or variables with coefficients. The operations may be addition, subtraction, multiplication, or division.
Given is an expression, 5¹/₃,
Using indices rule,
b¹/ₐ = [tex]\sqrt[a]{b}[/tex]
Therefore,
5¹/₃, here b = 5, a = 3
Therefore,
5¹/₃ = ∛5
Hence, the expression equal to 5¹/₃ is ∛5 (option B)
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