Answer:
54\(yd^{2}\)
Step-by-step explanation:
Let w = width
w + w + w+ 3 + w + 3 = 30
4w + 6 30 Subtract 6 from both sides
4x + 6 - 6 = 30 - 6
4x = 24 Divide both sides by 24
x = 6
The length is 6 and the width is 9 ( 6 + 3)
a = l x w
a = 9 x 6
a = 54
Helping in the name of Jesus.
pls help me to answer this
Answers:
T-shirt = $25
Shorts = $15
Books = $50
Shoes = $30
Cell phones = $750
===============================================
Explanation:
Taking 10% of a number is simply moving the decimal point over one spot to the left.
For example, the selling price of a t-shirt is $250.00 and taking 10% of this gets us to $25.00
As another example, 10% of 150.0 is 15.0
If a whole number ends with a 0, then taking 10% of the number means we chop that zero off.
if x= 2y-4 and x=6y+16 find the value for both x and y
In order to find the values of x and y, let's compare both values of x given:
\(\begin{gathered} x=2y-4 \\ x=6y+16 \\ \\ 2y-4=6y+16 \\ 6y-2y=-4-16 \\ 4y=-20 \\ y=-\frac{20}{4} \\ y=-5 \\ \\ x=2y-4 \\ x=2\cdot(-5)-4 \\ x=-10-4 \\ x=-14 \end{gathered}\)So we have that x = -14 and y = -5.
need help to solve x²=256
17. a) Distinguish between the Population Regression Function (PRF) and the Sample Regression Function (SRF) using appropriate diagrams and specifications for each function. (30 marks) b) Outline the
Distinguish between the Population Regression Function (PRF) and the Sample Regression Function (SRF) are given below.
Here, we have,
The population regression function, also known as the PRF, is a theoretical representation of the relationship that exists between a population's dependent and independent variables. The sample regression function, also known as the SRF, is an estimation of the relationship that exists between a sample's dependent and independent variables.
The Gauss-Markov assumptions that are connected to the traditional linear regression model are that the errors follow a normal distribution, that the errors have a mean of zero, and that the errors do not have any correlation with one another. These presumptions are important due to the fact that they make it possible to employ statistical techniques when estimating the values of the model's parameters. Testing a hypothesis necessitates making a number of assumptions, one of which is that the errors will be of a homoscedastic distribution.
The log-linear form is the functional form that needs to be used in order to get an accurate estimate of the Cobb-Douglas production function. You can test the hypothesis that there is a constant return to scale by testing the hypothesis that the coefficients on the inputs are equal to one. This will allow you to determine whether or not the hypothesis is true.
Population regression function (PRF), a theoretical description of the relationship between a population's dependent and independent variables, is known as the PRF One way to estimate the strength of a link between two sets of dependent and independent variables is to use a sample regression function (SRF).
Among the Gauss-Markov assumptions that are linked to the standard linear regression model are that the errors follow a normal distribution, that the errors have a mean of zero, and that the errors are not correlated with one another. Using statistical approaches to estimate the model's parameters is made possible by these presuppositions. The homoscedastic distribution of mistakes is one of many assumptions that must be made while testing a hypothesis.
To obtain an accurate estimate of the Cobb-Douglas production function, the functional form must be in log-linear form. The hypothesis that the coefficients on the inputs are all one can be tested to see if there is a continuous return to scale. This will help you determine if the hypothesis is correct.
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complete question:
17. a) Distinguish between the population Regression Function (PRF) and the Sample Regression Function (SRF) using appropriate diagrams and specifications for each function. (30 marks) b) Outline the Gauss-Markov assumptions associated with the Classical Linear Regression Model (CLRM) and discuss their significance. State any additional assumption that is required for hypotheses testing. (30 marks) c) Consider the following Cobb-Douglas production function: Qe = B.402K where, Q = output level, L = labour input, K = capital input Which functional form should you use to estimate this model? Clearly explain how you would test the hypothesis that there is constant return to scale. (40 marks)
Carlos paid $150.95 for Luxury Vinyl Flooring for his Family Room
which is 121 Square feet. He purchased a 1 square foot sample at Lowes to take home to see if the flooring will match his fireplace
in the Family room.
Based on this price, what is the cost of the
sample?
$1.25
$0.95
$1.00
$1.20
Step-by-step explanation:
121 ft² cost $150.95
1 ft² costs then 150.95/121 = $1.247520661... ≈
≈ $1.25
please help me with this
A) perpendicular
B) parallel
c) parallel
Answer:
Parallel lines.
explanation:
Parallel lines run beside one another and never touch because they stay the same distance apart no matter how long or far stretched they are.
7 + z/6 with z = 24...
Answer:
11
Step-by-step explanation:
7 + z / 6 = ?
7 + 24 / 6
24 / 6 = 4
7 + 4 = 11
Answer:
11
Step-by-step explanation:
The first thing you're going to do is replace z with 24 and divide it by 6, which equals 4. Then you're going to add 7, which gets you to the answer 11.
which quadrilateral always has diagonals that are congruent but not necessarily perpendicular?
a) parallelogram
b) rectangle
c) rhombus
d) square
Answer:its a rectangle
Step-by-step explanation:
Tim is a handy-man, and he charges a house call fee of $30 plus $20 an hour for repairs on a home.
a) What is the slope of the graph?
m=
b) What is the y-intercept of the graph?
Answer:
a. 20
b. 30
Step-by-step explanation:
y=20h+30
(h)= number of hours
I hope this helps!
you earn $9 per hour babysitting. This is $2 more than what you earned per hour last year. What did you earn per hour last year
Answer:
7 dollars
Step-by-step explanation:
9-2=7 you're welcome!!!!!
find the surface area of that part of the plane that lies inside the elliptic cylinder
The surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder \(\frac{x^2}{25} +\frac{y^2}{9}\) is 15π√150 and this can be determined by using the given data.
We are given the two equations are:
10x + 7y + z = 4---------(1)
\(\frac{x^2}{25} +\frac{y^2}{9} =1-------------(2)\)
equation(1) is written as
z = 4 - 10x - 7y-----------(3)
The surface area is given by the equation:
A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA------------(4)
compare equation(4) with equation(3) we get the values of ∂f/∂x and
∂f/∂y
∂f/∂x = -10
∂f/∂y = -7
substitute these values in equation(4)
A(S) = ∫∫√[(-10)² + (-7)² + 1]dA
A(S) = ∫∫√[100 + 49 + 1]dA
A(S) = ∫∫√[150]dA
A(S) = √150 ∫∫dA
Where ∫∫dA is the elliptical cylinder
From the general form of an area enclosed by an ellipse with the formula;
comparing x²/a² + y²/b² = 1 with x²/25 + y²/9 = 1, from that we get the values of a and b
a = 5 and b = 3
So, the area of the elliptical cylinder = πab
Thus;
A(S) = √150 × π(5 × 3)
A(S) = 15π√150
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Graph the solution to the following system of inequalities.
y<-3x-8
y≥ 2x+3
The graphical solution for the given inequalities is attached in the answer.
What is inequalities?
Inequalities are the difference between two values indicates whether one is smaller, larger, or simply not equal to the other.
a b asserts that a and b are not equal.
If a b, then a must be less than b.
When a > b, it is said a is greater than b.
When a > b, it is said a is greater than b.
{above two are the strict inequalities}
When a ≤ b, it is said a is less than or equal to b
when a ≥ b, it is said a is greater than or equal to b.
Graphing the inequality is the process of identifying the region of the number line that includes values that would "satisfy" the given inequality.
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Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y = 1/x, y = 0, x = 1 and x =3 about the line y = -1
The volume of the solid obtained by rotating the region bounded by the curves y = 1/x, y = 0, x = 1, and x = 3 about the line y = -1 using disks or washers is approximately 8.18 cubic units.
To solve the problem using the washer method, we start with the given region bounded by the curves:
y = 1/x
y = 0
x = 1
x = 3
The axis of rotation is y = -1, so the distance between the curve and the axis of rotation is 1 + 1 = 2.
We can express the volume of the solid of revolution using the formula:
V = π∫[a,b] (\(R_2^2 - R_1^2\)) dx
In this case, the outer radius \(R_2\) is the distance from the axis of rotation to the curve y = 1/x, which is \(R_2\) = 2 + 1/x.
inner radius \(R_1\) is the distance from the axis of rotation to the curve y = 0, which is \(R_1\) = 2.
Therefore, the volume of the solid of revolution is:
V = π∫[1,3] \([(2 + 1/x)^2 - 2^2]\) dx
Simplifying further:
V = π∫[1,3] [(4 + 4/x + 1/x²) - 4] dx
V = π∫[1,3] [4/x + 1/x²] dx
Integrating:
V = π[4ln(x) - 1/x\(]_1^3\)
V = π(4ln(3) - 1/3 - 4ln(1) + 1/1)
V = π(4ln(3) - 11/3)
V ≈ 8.18 cubic units
Therefore, the volume of the solid obtained by rotating the region bounded by the curves y = 1/x, y = 0, x = 1, and x = 3 about the line y = -1 using disks or washers is approximately 8.18 cubic units.
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Therefore, the volume of the solid obtained by rotating the region bounded by the curves y = 1/x, y = 0, x = 1, and x = 3 about the line y = -1 is 2π cubic units.
To find the volume of the solid obtained by rotating the region bounded by the curves about the line y = -1, we can use the method of cylindrical shells.
To set up the integral for finding the volume, we'll consider a vertical slice of thickness Δx at a distance x from the y-axis. The height of this slice will be given by the difference between the upper and lower curves at that x-value. The upper curve is y = 1/x, and the lower curve is y = 0. So the height of the slice is 1/x - 0 = 1/x.
Now, we need to determine the radius of the cylindrical shell. Since we're rotating the region about the line y = -1, the distance between the line and the upper curve at any x-value is 1/x - (-1) = 1/x + 1. Therefore, the radius of the cylindrical shell is 1/x + 1.
The volume of each cylindrical shell is given by the formula V = 2πrhΔx, where r is the radius and h is the height of the shell. Substituting the values, we have V = 2π(1/x + 1)(1/x)Δx.
To find the total volume, we integrate this expression over the interval [1, 3]:
V = \(\int\limits^1_3 \,\) 2π(1/x + 1)(1/x) dx
Now, let's simplify and evaluate the integral:
V = \(2\pi \int\limits^1_3 \,\)(1 + x⁽⁻²⁾) dx
= 2π [x - x⁽⁻¹⁾ |[1,3]
= 2π [(3 - 3⁽⁻¹⁾) - (1 - 1⁽⁻¹⁾)]
= 2π [(3 - 1/3) - (1 - 1)]
= 2π (2 + 1/3)
= 4π/3 + 2π/3
= 6π/3
= 2π
Therefore, the volume of the solid obtained by rotating the region bounded by the curves y = 1/x, y = 0, x = 1, and x = 3 about the line y = -1 is 2π cubic units.
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Prove the property a × b = − b × a of this theorem.
Let a= (a1, a2, a3) and b= (b1, b2, b3)
Then,
a × b = xxxxx
= (−1) * xxxx
= − b × a.
Fill in for the italic x's
The property states that when two vectors a and b are multiplied together, the result is equal to the negative of b multiplied by a. This can be shown by multiplying the components of both vectors and then multiplying the result by -1.
a×b = (a2*b3 - a3*b2, a3*b1 - a1*b3, a1*b2 - a2*b1)
= (a2*b3 - a3*b2, a3*b1 - a1*b3, a1*b2 - a2*b1)
= (−1) * (a2*b3 - a3*b2, a3*b1 - a1*b3, a1*b2 - a2*b1)
= (−1) * (b2*a3 - b3*a2, b3*a1 - b1*a3, b1*a2 - b2*a1)
= − b × a.
The property a × b = − b × a states that when two vectors a and b are multiplied, the result is equal to the negative of b multiplied by a. This can be proven by first expanding the components of both vectors. For a vector a=(a1,a2,a3) and b=(b1,b2,b3), the expanded form of a×b is (a2*b3 - a3*b2, a3*b1 - a1*b3, a1*b2 - a2*b1). This can then be multiplied by -1 to get the expanded form of -b×a, which is (b2*a3 - b3*a2, b3*a1 - b1*a3, b1*a2 - b2*a1). Since this is equal to the original form of a×b, this proves the property.
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Which function models y, the percent of medicine remaining x hours after the medicine was taken?
Answer:
D
Step-by-step explanation:
The answer is D.
Answer:
y = 100(0.5)^x/4
Step-by-step explanation:
In Houston, Texas, at the spring equinox (March 21), there are 12 hours and 9 minutes of sunlight. The longest and shortest day of the year varies from the equinox by 1h 55 min . The amount of sunlight during the year can be modeled by a sine function.
a. Define the independent and dependent variables for a function that models the variation in hours of sunlight in Houston.
The independent variable in the function that models the variation in hours of sunlight in Houston is time, typically measured in days or months.
The dependent variable in the function is the number of hours of sunlight.In the context of modeling the variation in hours of sunlight in Houston, the independent variable refers to the factor that is being manipulated or controlled. In this case, it is time, which can be measured in days or months. By changing the value of time, we can observe how the hours of sunlight vary throughout the year.
On the other hand, the dependent variable is the factor that is being observed or measured, and it is directly affected by the independent variable. In this case, the dependent variable is the number of hours of sunlight. As time changes, the amount of sunlight received in Houston also changes, and this relationship can be modeled using a sine function to capture the periodic nature of the variation. By plugging different values of time into the function, we can estimate the corresponding hours of sunlight.
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Evaluate the series 1 + 2 + 4 + 8 to S10.
The series to 10 term is
1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512
What is recurrent relation?An equation that represents a sequence based on a rule is called a recurrence relation.
Finding the following term, which is dependent upon the prior phrase, is made easier (previous term). We can readily predict the following term in a series if we know the preceding term.
The term is predicted by multiplying the preceding term by 2
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the total bank loan for a car is $15, 265. the bank withdrawals $295.80 each month to pay off the car. write a formula to represent this sequence
15625=295.80x is the expression for the given condition.
What is expression?An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations. A number, a variable, or a combination of numbers, variables, and operation symbols constitutes an expression. An equation consists of two expressions joined by an equal sign. Example of a word: the sum of 8 and 3. Example of a word: The product of 8 and 3 equals 11. 8 + 3 is an expression.
Here,
Let x be the number of month to payout.
15625=295.80x
x=52.82
The expression for given condition is 15625=295.80x.
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Geometry B.5 Add
Learn with an example
If TU = 14 and UV = 10, what is TV?
5
In the following questions, the bold letters X, Y, Z are variables. They can stand for any sentence of TFL. (3 points each) 4.1 Suppose that X is contingent and Y is a tautology. What kind of sentence must ¬XV y be? Explain your answer. 4.2 Suppose that X and Y are logically equivalent, and suppose that X and Z are inconsistent. Does it follow that Y must entail ¬Z? Explain your answer. 4.3 Suppose that X and X → > Z are both tautologies. Does it follow that Z is also a tautology? Explain your answer.
4.1 If X is contingent (neither a tautology nor a contradiction) and Y is a tautology (always true), ¬X V Y is a tautology.
4.2 No, it does not necessarily follow that Y must entail ¬Z. Y does not necessarily entail ¬Z.
4.3 The tautologies of X and X → Z do not provide sufficient information to conclude that Z itself is a tautology.
4.1 If X is contingent (neither a tautology nor a contradiction) and Y is a tautology (always true), the sentence ¬X V Y must be a tautology. This is because the disjunction (∨) operator evaluates to true if at least one of its operands is true. In this case, since Y is a tautology and always true, the entire sentence ¬X V Y will also be true regardless of the truth value of X. Therefore, ¬X V Y is a tautology.
4.2 No, it does not necessarily follow that Y must entail ¬Z. Logical equivalence between X and Y means that they have the same truth values for all possible interpretations. Inconsistency between X and Z means that they cannot both be true at the same time. However, logical equivalence and inconsistency do not imply entailment.
Y being logically equivalent to X means that they have the same truth values, but it does not determine the truth value of ¬Z. There could be cases where Y is true, but Z is also true, making the negation of Z (¬Z) false. Therefore, Y does not necessarily entail ¬Z.
4.3 No, it does not necessarily follow that Z is also a tautology. The fact that X and X → Z are both tautologies means that they are always true regardless of the interpretation. However, this does not guarantee that Z itself is always true.
Consider a case where X is true and X → Z is true, which means Z is also true. In this case, Z is a tautology. However, it is also possible for X to be true and X → Z to be true while Z is false for some other interpretations. In such cases, Z would not be a tautology.
Therefore, the tautologies of X and X → Z do not provide sufficient information to conclude that Z itself is a tautology.
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who can solve |x-4| = 21
Answer:
|x| = 25
Step-by-step explanation:
Original Equation:
|x - 4| = 21
Just add 4 to both sides
|x| = 25
Hope this helped :)
Answer:
the answer is 25 or -17
Find the slope of the line that passes through the pair of points: (2,-3) and
(0,-2) *
1 point
Answer:
It would be -1/2
Step-by-step explanation:
-2--3/0-2=-1/2
find the constant of proportionality (r) in the equation y=rx
Answer:
5
Step-by-step explanation:
The constant of proportionality (r) in the equation y=rx is 3
How to determine the constant of proportionality?The equation of the function is given as:
y = rx
Make r the subject
r = y/x
From the table, we have:
y = 36 when x = 12
So, the equation becomes
r = 36/12
Divide
r = 3
Hence, the constant of proportionality (r) in the equation y=rx is 3
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Felix's dinner costs $16.49. Felix pays a $20 bill. About how much change did he receive? Show your work.
Answer: He received $3.51 in change.
Step-by-step explanation:
To get the answer we can subtract the amount Felix paid ($20) by the cost of the dinner ($16.49).
It will look like this:
$20.00 - $16.49 = $3.51
Answer:3 dollars and 51 cents
Step-by-step explanation:
Well, Uh, Help me? Please?
(first part in photo)
1. What could be the formula
used to compute the value
shown in cell B3?
A = B3 * B4
(B.) = A2 + A5
(C.) = A2 * A5
(D.) = Sum(A2:A6)
The formula used to compute the value shown in cell B3 is given by:
(C.) = A2 x A5.
How to find the formula used to compute the value shown in cell B3?We have to look at the value of cell B3, and then look at each expression, and verify which one results in the same value show in cell B3.
Looking at the given table, the value given in cell B3 is of 350. Thus, we have to find an expression which has a result of 350.
We also are given these following values in the table:
A2 = 7.A5 = 50.The multiplication of these values result in 350, hence the formula used to compute the value shown in cell B3 is given by:
(C.) = A2 x A5.
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how many different refrigerants may be recovered into the same cylinder
In general, different refrigerants should not be mixed or recovered into the same cylinder.
Different refrigerants have unique chemical compositions and properties that make them incompatible with one another. Mixing different refrigerants can lead to unpredictable reactions, loss of refrigerant performance, and potential safety hazards. Therefore, it is generally recommended to avoid recovering different refrigerants into the same cylinder.
When recovering refrigerants, it is important to use separate recovery cylinders or tanks for each specific refrigerant type. This ensures that the refrigerants can be properly identified, stored, and recycled or disposed of in accordance with regulations and environmental guidelines.
The refrigerant recovery process involves capturing and removing refrigerant from a system, storing it temporarily in dedicated containers, and then transferring it to a proper recovery or recycling facility. Proper identification and segregation of refrigerants during the recovery process help maintain the integrity of each refrigerant type and prevent contamination or cross-contamination.
To maintain the integrity and safety of different refrigerants, it is best practice to recover each refrigerant into separate cylinders. Mixing different refrigerants in the same cylinder can lead to complications and should be avoided. Following proper refrigerant recovery procedures and guidelines helps ensure the efficient and environmentally responsible management of refrigerants.
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The number of different refrigerants that may be recovered into the same cylinder is zero.
When it comes to refrigerants, it is important to understand that different refrigerants should not be mixed together. Each refrigerant has its own unique properties and should be handled and stored separately. mixing refrigerants can lead to chemical reactions and potential safety hazards.
The recovery process involves removing refrigerants from a system and storing them in a cylinder for proper disposal or reuse. During the recovery process, it is crucial to ensure that only one type of refrigerant is being recovered into a cylinder to avoid contamination or mixing.
Therefore, the number of different refrigerants that may be recovered into the same cylinder is zero. It is essential to keep different refrigerants separate to maintain their integrity and prevent any adverse reactions.
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What is (-5) the 2 is an exponent just so you know
Answer:
25
Step-by-step explanation:
(-5)^2
(-5)*(-5)
25
Answer:
25
Step-by-step explanation:
(-5)^2 = 25, since -5 x -5 is 25.
Now, if the -5 hadn't been in parenthesis, -5^2 would be read as -(5 x 5), and would equal -25.
Brainliest, please! I'm so close to becoming an Expert!
Problem 20:
Find d.
2dº
98°
(2d+ 2)°
The value of d if, The measure of the angles of a triangle are 2dº, 98°, and (2d+ 2)°, is 20.
What is triangle?Three straight lines coming together create a triangle. There are three sides and three corners on every triangle (angles). A triangle's vertex is the intersection of two of its sides. Any one of a triangle's three sides can serve as its base, however typically the bottom side is used.
Given:
The measure of the angles of a triangle are 2dº, 98°, and (2d+ 2)°,
Calculate the value of d as shown below,
2d + 98 + 2d +2 = 180 (The sum of the interior angle of the triangle is 180)
Do arithmetic operations as shown below,
4d + 100 = 180
4d = 180 - 100
4d = 80
d = 80 / 4
d = 20
Thus, the value of d is 20.
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MRS. JAMISON'S CLASS
MR. ZIMMERMAN'S CLASS
.
.
.
o +
:
2 3
5 6
NUMBER OF TVS PER HOUSEHOLD
0 1 2 3
5 6
NUMBER OF TVs PER HOUSEHOLD
7
The mode number of TVs per household for both Mrs. Jamison's class and and Mr. Zimmerman's class is 3.
O True
False
The given statement "The mode number of TVs per household for both Mrs. Jamison's class and and Mr. Zimmerman's class is 3." is true. The mode of TVs per household is 3 in both Mrs. Jamison's class and and Mr. Zimmerman's class.
Mode is a statistical measure that represents the value that appears most frequently in a dataset. It is one of the measures of central tendency, along with mean and median.
In Mrs. Jamison's class, the mode number of TVs per household is 3 because it appears twice, while all other numbers appear only once. Similarly, in Mr. Zimmerman's class, the mode number of TVs per household is 3 because it appears twice, while all other numbers appear only once.
Therefore, the statement "The mode number of TVs per household for both Mrs. Jamison's class and Mr. Zimmerman's class is 3" is true.
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