As you stated the formula of a rectangle is P (perimeter) = 2W (the two widths added together) + 2L (the two lengths added together).
To solve this algebraicly you need to define your variable, or unknown, which in this case is the width or "W".
Now set this same equation with any symbol you wish, "x" is often used, and solve for x. You could keep W instead of X also if it makes it easier to work the problem.
P= 2x + 2L
isolate the 2x by subtracting 2L from both sides.
P-2L=2x
Now isolate the x by dividing both sides by 2 and you have
P-2L/2=x
x will be W. Just put in the numbers of P and L and you will have solved for W.
What value of makes the equation 0.25(10x-3)= 1.5(x+2) - 0.75 true?
A. x = 3
B. x= 4
C. x= 3.75
D. x= 4.25
Answer:
3.75
Step-by-step explanation:
2.5x-.75=1.5x+3
x=3.75
Need help with steps
Answer:
Step-by-step explanation:
A direct relationship between two variables is reflected in a(n) _____ correlation coefficient.
A direct relationship between two variables is reflected in a "POSITIVE" correlation coefficient.
Correlation is a statistical technique for measuring and describing the relationship between two variables.
The variables move in the same direction when they have a positive correlation. In other words, as one variable increases, so does the other, and conversely, as one variable decreases, so does the other.
Typically, the two variables are simply observed rather than manipulated. Two scores from the same individuals are required for the correlation.
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MY QUESTION IS:
Explain two differences and two similarities between a parallelogram and a rhombus.
I WILL MARK BRAINLIEST FOR THE BEST ANSWER!!!
Answer:
Below
Step-by-step explanation:
A parallelogram has 4 sides and is flat. Theyre sides are parallel to each other. While all the rhombus sides are equal in length, the parallelograms sides are equal in the opposite sides. The diagonals of a rhombus bisect each other at right angles forming two scalene triangles
9514 1404 393
Explanation:
A rhombus is a parallelogram, so in order to answer the question, we must restrict consideration to a parallelogram that is not a rhombus. We are not excluding the case(s) where the angles are right angles.
Similarities between rhombus and parallelogram:
diagonals bisect each otheradjacent angles are supplementaryopposite sides are parallelDifferences between rhombus and parallelogram:
diagonals of a parallelogram don't meet at right anglesdiagonals of a parallelogram are not angle bisectorsadjacent sides of a parallelogram are different lengthsolve for x
PLEASE HELPPPPPPPP
Answer:
x=21
Step-by-step explanation:
1. Slope = -3
Y-intercept = 4
Y = mx + b
Answer:
y=(-3)+4
Step-by-step explanation:
Answer:
the equation will be y=-3x+4
Step-by-step explanation:
b is the y intercept, and mx is the slope, also the rate of change. if you asking for an equation.
Let A=[ a c b d ] - Calculate the inverse of [ a c b d ]. - Find a formula involving a,b,c and d that represents when the inverse does not exist. - Represent the unit square U as a matrix and multiply by AU=[ 1 2 2 3 ]U. - What does AU represent and compare the area of AU with the area of the unit square.
The inverse of the matrix A=[ a c b d ] is A^(-1) = 1/((ad-bc) [ d -c -b a ])
The inverse of the matrix A does not exist if the determinant of A is zero.
AU = [ 1 2 2 3 ]U represents a transformation of the unit square U by matrix A.
The area of AU is equal to the area of the unit square U.
The inverse of the matrix A=[ a c b d ] can be found by using the formula:
A^(-1) = 1/((ad-bc) [ d -c -b a ])
Therefore,
A^(-1) = 1/((ad-bc) [ d -c -b a ])
= 1/((ad-bc) [ d -c -b a ])
The formula to represent when the inverse does not exist is when the determinant of the matrix is zero. Therefore, if the determinant of matrix A is zero, then the inverse of the matrix does not exist. The formula to find the determinant of A is:
det(A) = ad - bc
If det(A) = 0, then the inverse of the matrix A does not exist.
To represent the unit square U as a matrix, we can use the following matrix:
U = [ 1 0 0 1 ]
To find AU = [ 1 2 2 3 ]U, we need to multiply the two matrices as follows:
[ 1 2 2 3 ] [ 1 0 0 1 ] = [ 1 2 2 3 ]
Therefore, AU = [ 1 2 2 3 ]U represents a transformation of the unit square U by matrix A.
The area of AU can be found by taking the determinant of the matrix [ 1 2 2 3 ], which is equal to 1. Therefore, the area of AU is equal to 1 times the area of the unit square U, which means that the two areas are equal.
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Which solution for 3x=10+13x?
A.-10
B. -1
C.5/8
D.1
E.10
Answer:
3x=10+13x
We simplify the equation to the form, which is simple to understand
3x=10+13x
We move all terms containing x to the left and all other terms to the right.
+3x-13x=+10
We simplify left and right side of the equation.
-10x=+10
We divide both sides of the equation by -10 to get x.
x=-1
Answer:
B. -1. :))))))))))))()))))
A multiple choice test has 10 questions with 3 choices each. Only one choice per question is correct. What is the probability to ace the test (answer correctly all 10 questions)
Answer:
Since each question has 3 choices and only one is correct, the probability of answering a single question correctly is 1/3.
To find the probability of answering all 10 questions correctly, we need to multiply the probabilities of each individual question together, since the events are independent.
Therefore, the probability of acing the test is:
(1/3)^10 = 0.000005904
Or approximately 0.0006%, which is a very small probability.
Step-by-step explanation:
You are working in a lab and you need a solution of 22% acid. In the cupboard, you find a 10% and a 30% solution, but not a 22% solution. You will have to make your own 22% solution. You will need liters of the 10% and liters of the 30% to make 15 liters of a 22% solution?
The volume of 10% solution will be 6 l and 9 litre of the 30 % solution will be taken.
What is Volume ?Volume is the space occupied by a three dimensional object .
The concentration of solution required is 22% acid
The concentration of solution available is 10% and 30%
The total volume required is 15 liters
The formula for making a mixture is
Concentration = ( m₁x₁ +m₂x₂) / (x₁+x₂)
22 = (10 * x + 30 *(15 -x))/( 15)
10 x + 450 - 30x =330
-20x = -120
x = 6
The volume of 10% solution will be 6 l
and 9 litre of the 30 % solution will be taken.
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Given the functions f(2) and g(2) below, find all solutions to the equation f(x) = g(2) to the nearest hundredth.
f(x) = -0.05x^3 - 0.3x^2 + x-1
g(2) - |1.1x| + 5.6
There are no solutions to the equation f(x) = g(2).
Given:
f(x) = -0.05x³ - 0.3x² + x - 1
g(2) = |1.1x| + 5.6
To find the solutions to the equation f(x) = g(2), we substitute x = 2 into both functions and equate them:
f(2) = g(2)
Substituting x = 2 into f(x):
f(2) = -0.05(2)³ - 0.3(2)² + 2 - 1
f(2) = -0.05(8) - 0.3(4) + 2 - 1
f(2) = -0.4 - 1.2 + 1
f(2) = -1.6
Substituting x = 2 into g(2):
g(2) = |1.1(2)| + 5.6
g(2) = |2.2| + 5.6
g(2) = 2.2 + 5.6
g(2) = 7.8
Now we can set -1.6 equal to 7.8 and solve for x:
-1.6 = 7.8
This equation has no solution.
Therefore, there are no solutions to the equation f(x) = g(2).
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y=1/4x-3 write the equation of the line that passes through the point (2,0) and is perpendicular in to the equation
Answer:
y=4x+3
Step-by-step explanation:
For the slope you can do the reciprocal of 1/4 which is 4 and the y axis is 3 because from -3 to 0 it's 3.
11(7+9) using distributive property
Answer:
176
Step-by-step explanation:
Apply PEMDAS
Solve the parenthesis first
11 ( 7 + 9 )
11 ( 16 )
Now open the parenthesis and you will have your answer
11 times 16
176
Make x the subject px + q = x + 5
Answer:
Simplifying
px = qx + 5
Reorder the terms:
px = 5 + qx
Solving
px = 5 + qx
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Divide each side by 'x'.
p = 5x-1 + q
Simplifying
p = 5x-1 + q
Reorder the terms:
p = q + 5x-1
Marcus tried to solve an equation.
\begin{aligned} 2.5b&=5\\\\ \dfrac{2.5b}{2.5}&=\dfrac{5}{2.5}&\tealE{\text{Setting up}}\\\\ b&=3&\purpleD{\text{Calculating}} \end{aligned}
2.5b
2.5
2.5b
b
=5
=
2.5
5
=3
Setting up
Calculating
Where did Marcus make his first mistake?
The step at which Marcus made his first mistake in solving this equation (2.5b = 5) is at calculating.
What is an expression?An expression is sometimes referred to as an equation and it can be defined as a mathematical equation which is typically used for illustrating the relationship that exist between two (2) or more variables and numerical quantities.
How to determine the correct steps?In order to determine the correct steps for solving the given expression, we would have to simplify the given mathematical equation by applying the division property of equality as follows:
Dividing both sides by 2.5, we have:
2.5b = 5
2.5b/2.5 = 5/2.5 ⇒ Setting up
b = 5/2.5
b = 2 ⇒ Calculating
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Complete Question:
Marcus tried to solve an equation.
2.5b = 5
2.5b/2.5 = 5/2.5 Setting up
b = 3 Calculating
Where did Marcus make his first mistake?
Setting up
Calculating
Solve for x to the NEAREST TENTH.
Answer: The answer is 5
a and b are two statements such that "if a, then b " is a compound statement which will always be true unless a is true and b is false. what is that mean ?
"if a, then b" means that a is a sufficient condition for b, and that b is a necessary condition for a to be true. The statement is true unless a is true and b is false.
The statement "if a, then b" is known as a conditional statement, which is a type of logical statement that is often used in mathematics and other fields. In this case, the statement means that if statement a is true, then statement b must also be true. If a is false, then the truth value of b is not relevant, as the statement is considered true regardless.
The statement "if a, then b" is often written as "a → b" using logical symbols. The symbol "→" is read as "implies" or "if-then".
For example, consider the statements "If it is raining, then the ground is wet" (a → b). This statement is considered true unless it is raining and the ground is not wet, which is a contradiction. If it is not raining, the truth value of "the ground is wet" is not relevant to the truth of the conditional statement.
In summary, "if a, then b" means that a is a sufficient condition for b, and that b is a necessary condition for a to be true. The statement is true unless a is true and b is false.
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Al practiced the piano 10 hours this
week and 5 hours last week. How
many times as many hours did Al
practice the piano this week than
last week?
Answer:
5
Step-by-step explanation:
10-5=5
dhdhdhdjjdjdjdjdjd
Answer:
twice as many hours
Step-by-step explanation:
A watch salesman earns a commission of 40% of all watch sales made. Yesterday he sold 5 watches for $60 each and 4 watches for $40 each. How much did he earn in commission yesterday?
A. $120
B. $64
C. $40
D. $184
He earns $184 in commission yesterday on sold 5 watches for $60 each and 4 watches for $40 each.
Commission:A sales commission is a sum of money paid to an employee upon completion of a task, usually selling a certain amount of goods or services. Employers sometimes use sales commissions as incentives to increase worker productivity. A commission may be paid in addition to a salary or instead of a salary.
A salesman earns a commission 40%
He sold yesterday 5 watches for $60 each
and, 4 watches for $40 each.
We have to find the how much he earn commission?
Now, According to the question:
Price of 5 watches = 60.00 × 5 = $300
4 watches = $40.00 each
Price of 4 watches = 40.00 × 4 = $160
Total sales made = 300 + 160 = $460
His commission is 40% of the sales = 40% × 460
= 0.40 × 460 = $184
Hence, He earns $184 in commission.
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need help fast!!!!!!
The equation for the horizontal asymptote of the function f is y=Lim x→∞ f(x).
Horizontal asymptoteIn algebra and calculus, a horizontal asymptote is a horizontal line that the graph of a function approaches as the x-values or input values increase or decrease without bound.
The equation for the horizontal asymptote of a function f is:
Lim f(x) → ∞ = c
Where c is the horizontal asymptote.
Example:
f(x) = x2 + 3x + 2
Horizontal Asymptote:
Lim f(x) → ∞ = ∞
numeric value in equation
For example, if x = 5:
f(5) = 5^2 + 3*5 + 2 = 32
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PICK ONE OF THE FOLLOWING (imagine added)
Answer:
C
Step-by-step explanation:
HELPPPPPPPPPP PLSSSSS!! i’ll give brainlist!
Answer:
1. No
2. No
3. No
4. Yes
5. Yes
Step-by-step explanation:
For how long will Douglin have to make payments of $156 at the end of every six months to repay a loan of $2950 if interest is 8% per annum compounded annually? State your answer in years and months (from 0 to 11 months).
Douglin will have to make payments for approximately 4 years and 10 months (or 4 years and 10 months) to repay the loan.
To calculate the time it will take for Douglin to repay the loan, we need to use the formula for the future value of an ordinary annuity:
\(\[FV = P \times \left( \frac{{(1 + r)^n - 1}}{r} \right)\]\)
Where:
FV = Future value of the loan ($2950)
P = Payment made at the end of every six months ($156)
r = Interest rate per compounding period (8% per annum = 4% per six months = 0.04)
n = Number of compounding periods (unknown, to be determined)
Substituting the given values into the formula, we have:
\(\[2950 = 156 \times \left( \frac{{(1 + 0.04)^n - 1}}{0.04} \right)\]\)
Now, we need to solve this equation to find the value of 'n'. We can start by rearranging the equation:
\(\[(1 + 0.04)^n = \frac{{2950 \times 0.04 + 156}}{{156}}\]\[(1.04)^n = \frac{{118 + 156}}{{156}}\]\[(1.04)^n = \frac{{274}}{{156}}\]\)
Taking the logarithm of both sides:
\(\[n \times \log(1.04) = \log\left(\frac{{274}}{{156}}\right)\]\\\)
Dividing both sides by \(\(\log(1.04)\):\)
\(\[n = \frac{{\log\left(\frac{{274}}{{156}}\right)}}{{\log(1.04)}}\]\)
Using a calculator, we find:
\(\[n \approx 4.864\]\)
Since 'n' represents the number of compounding periods (each period is six months), we need to convert it into years and months. Since there are two six-month periods in a year, we have:
4.864 periods * 6 months/period = 29.184 months
Therefore, Douglin will have to make payments for approximately 4 years and 10 months (or 4 years and 10 months) to repay the loan.
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You are given information about the amount of each purchase at a department store. Find the mean, median, mode, range and standard deviation when each purchase decreases by 15%.
Mean: $51.72
Median: $37.25
Mode: $21.36
Range: $415.85
Standard Deviation: $11.91
Please help, thank you!!!
Answer:
$43.96 ; $31.66 ; $18.17 ; $384.66
Step-by-step explanation:
15% decrease :
Mean = (1 - 0.15) * 51.72) = $43.96
Median = (1 - 0.15) * 37.25 = $31.66
Mode : (1 - 0.15) * 21.36 = $18.156 = $18.17
Range = value of range will now decrease by 15% / 2 = 7.5% ; (1 - 0.075) * $415.85 = $384.66
the coase theorem reminds us that efficiency is all about maximizing total
The Coase theorem is an economic theory that states that in the absence of transaction costs, the allocation of resources and the distribution of wealth will be efficient regardless of how property rights are assigned.
In this context, the theorem reminds us that efficiency is all about maximizing total welfare, rather than focusing solely on the allocation of resources or the distribution of wealth. When transaction costs are low or non-existent, parties can negotiate with each other to reach mutually beneficial agreements that maximize their combined welfare. This means that ownership of property or resources is less important than the ability of parties to freely negotiate with one another.
For example, imagine two neighboring farms: one produces apples and the other produces honey. If the apple farmer's use of pesticides harms the bee population and reduces the honey farmer's production, the honey farmer could demand compensation from the apple farmer. If transaction costs are low, the two farmers could negotiate a solution that is mutually beneficial, such as the apple farmer paying for the honey farmer to relocate their bees to a safer area. In this scenario, the assignment of property rights is not as important as the ability of the two parties to negotiate and reach an agreement that maximizes their total welfare.
Overall, the Coase theorem highlights the importance of considering the broader impacts of economic decisions and recognizing that efficiency depends on maximizing the overall benefits to all parties involved, rather than just focusing on individual outcomes.
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WHAT IS
x=0.7+24
A-14
B-56
C-80
D-10
PLEASE
PLEASE PLEASE PLEASE HELP
Answer:
A, see attachment for work.
Step-by-step explanation:
Determine the rank of matrix A if possible from the given information.
a. A is an n-by-n matrix with linearly independent columns.
b. A is a 6-by-4 matrix and Null(A)={0}.
c. A is a 5-by-6 matrix and dim(bull(A))=3.
d. A is a 3-by-3 matrix and det(A)=17.
e. A is a 5-by-5 matrix and dim(Row(A))=3.
In summary, the matrix is:
a. Rank of A = n
b. Rank of A = 4
c. Rank of A = 3
d. Rank of A = 3
e. Rank of A = 3
a. If matrix A is an n-by-n matrix with linearly independent columns, then the rank of A is equal to n.
b. If matrix A is a 6-by-4 matrix and Null(A)={0}, then the rank of A is 4. This is because the dimension of the null space of A is zero, which implies that the only solution to the homogeneous equation Ax = 0 is the trivial solution x = 0. Since the nullity of A is zero, the rank of A is equal to the number of columns, which is 4.
c. If matrix A is a 5-by-6 matrix and dim(Null(A))=3, then the rank of A is 6 - 3 = 3. This is because the dimension of the null space of A is equal to the number of linearly independent columns that can be expressed as a linear combination of the other columns. The rank of A is then obtained by subtracting the dimension of the null space from the number of columns.
d. If matrix A is a 3-by-3 matrix and det(A) = 17, then the rank of A is 3. This is because the determinant of a square matrix being nonzero implies that the matrix is invertible, and an invertible matrix has full rank, which is equal to the number of rows (or columns) of the matrix.
e. If matrix A is a 5-by-5 matrix and dim(Row(A)) = 3, then the rank of A is 3. This is because the dimension of the row space of A is equal to the number of linearly independent rows, which is equivalent to the rank of A.
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PLZZZ HELPPPP WILL MARK BRAINLIEST
Answer: 1
Heres why: If you subtract the 1 from 2 you get 1
what is the equation of the line that is parallel to 2x = 1 - 3y and passes through (9,4),
A y= -2/3x+10
B y= 2/3x-2
C y=-3/2x+17/2
D y=3/2x-1/2
Answer:
A y= -2/3x+10
Step-by-step explanation:
___________
Answer:
A. y=-2/3x+10
Step-by-step explanation:
...........