The area of a parallelogram will be of 11 ft² when the multiplication of the base of the parallelogram by the height of the parallelogram is of 11 ft².
How to obtain the area of a parallelogram?The area of a parallelogram is given by the multiplication of the base of the parallelogram by the height of the parallelogram, that is:
A = bh.
Then the area of a parallelogram will be of 11 ft² when the multiplication of the base of the parallelogram by the height of the parallelogram is of 11 ft², when both the base and the height are given in feet.
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angle 3 and angle 9 are cmplementary. If measure of angle 3 = 3x-7 and the measure of angle 9= 4x-1, find angle 3
Answer:
35°
Step-by-step explanation:
angle3 = 3x-7
the two angles are complementary ( they sum to 90)
4x-1 + 3x-7 = 90
7x - 8 = 90
7x = 98
x = 14 then angle3 = 3x-7 = 35°
What is the mean absolute deviation (MAD) of the set
[10, 15, 18, 8, 4]
please help last question (brainliest) ! Mary ann and carlos are each saving for new scooters. Their savings are shown. Let x represent the number of hours each person works y represent the total earnings in dollars
A: What is the difference in their savings after working 3 hours
1. Mary Ann has saved $2 more than Carlos
2. Carlos has saved $8 more than Mary Ann
3. Carlos has saved $2 more than Mary Ann
4. Mary Ann has saved $6 more than Carlos
Answer: 1. Mary Ann has saved $2 more than Carlos
Step-by-step explanation: At 3 hours...
Carlos has $26 according to chart
Mary Ann has...
y=6(3)+10
y=18+10
y=28
so
28-26=2
she has 2 more dollars than him
The difference in their savings after 3 hours of working is option 1. Mary Ann has saved $2 more than Carlos.
What is Linear Function?A linear function can be defined as the function whose graph is a straight line. It can also be defined as the function with one or more variables and the exponent of the variable is 1.
Given are two linear functions.
Let x represent the number of hours each person works y represent the total earnings in dollars.
Savings of Mary Ann is represented as,
y = 6x + 10
Savings of Carlos is represented in the graph shown.
After working 3 hours,
Savings of Mary Ann = (6 × 3) + 10 = $28
From the graph,
Savings of Carlos = $26
Difference in the savings = $28 - $26 = $2
Hence Mary Ann has saved $2 more than Carlos.
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what is an equivalent expression for (6 powered by 4)to -1 powered
Answer:
1/1,296
Step-by-step explanation:
\(( {6}^{4} )^{ - 1} = {6}^{ - 4} = \frac{1}{ {6}^{4} } = \frac{1}{1,296} \\ \)
How do you state if the triangles in each pair are similar?
If both the corresponding angles and sides are congruent and proportional, respectively, you can state that the triangles are similar.
To determine if two triangles are similar, you need to check if their corresponding angles are congruent and their corresponding sides are proportional.
To state if the triangles in each pair are similar, follow these steps:
1. Identify the corresponding angles: Compare the angles of one triangle to the angles of the other triangle. If all the corresponding angles are congruent, then the triangles are similar.
2. Check for proportional sides: Compare the lengths of the corresponding sides of the two triangles. If the ratios of the corresponding sides are equal, then the triangles are similar.
3. If both the corresponding angles and sides are congruent and proportional, respectively, you can state that the triangles are similar.
For example, consider two triangles with angles A, B, and C, and sides a, b, and c. If you find that angle A of one triangle is congruent to angle A of the other triangle, angle B is congruent to angle B, and angle C is congruent to angle C, and the ratios a/b, b/c, and a/c are all equal, then you can conclude that the two triangles are similar.
Remember, similarity is not the same as congruence. Similar triangles have the same shape but can differ in size.
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Imagine you are an Econ 111 TA and are paid per graded homework. You can work a maximum
of 12 hours per day. The number of homework you grade depends on the total hours spent on
grading as follows:
m o Homo= 9 ⋅ ℎo p o
a) Construct your production table. Explain what input and output in this example are.
b) Draw your production function with input on the X and output on the Y axis.
c) Let’s assume you got another job offer from the Pizza place you visited on Friday. As for
a grading job, you can not work more than 12 hours per day. BUT the Pizza place asks
you to work in two-hour increments (in other words, you can work either 0, 2, 4, 6, 8,
10, or 12 hours and not, for example, 3 or 5 hours). At the Pizza place, you can make 3
slices per two hours. Add two rows to the table from question (a), one raw representing
hours worked at the Pizza place and another representing number of pizza slices.
d) Draw your feasible set for graded homework (on the X axis) and pizza slices (on the Y
axis).
The feasible set represents trade-offs between graded homework and pizza slices within constraints.
What is the relationship between hours spent grading and the number of graded homework assignments?The feasible set represents the combinations of graded homework assignments and pizza slices that can be achieved given the constraints of working a maximum of 12 hours per day and the two-hour increment requirement at the Pizza place.
The feasible set will consist of points on a graph, where the X-axis represents the number of graded homework assignments and the Y-axis represents the number of pizza slices.
The set will include points that correspond to the maximum hours available for each job, considering that the hours worked at the Pizza place are in two-hour blocks and each block yields 3 pizza slices.
The feasible set will thus show the possible trade-offs between grading homework and making pizza slices within the given constraints.
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The number of individuals in a population divided by the area that the population takes up is known as the _______ of the population.
Answer:
density
Step-by-step explanation:
the number of population distributed in a certain area, that is generally in km², is the density.
It can be calculated with the following data: Number of population/km²
Extra information: it obviously is an approximated value, because in certain areas it can be much higher (metropolis, for example, generally have a very high population density, meanwhile in the countryside it can be much lower). Generally, it varies from area to area.
The number of individuals in a population divided by the area that the population takes up is known as the density of the population.
Population density refers to the number of individuals in a population per unit of area. It is a measure of how crowded or dispersed a population is within a given area.
Population density is calculated by dividing the total population of an area by the total land area or water area of that region. The resulting number is often expressed in individuals per square kilometer or square mile, depending on the units of measurement used.
Population density is an important ecological concept because it can affect the ability of a population to survive and thrive within a given area. Populations that are too dense may experience competition for resources, disease outbreaks, and other negative effects.
On the other hand, populations that are too dispersed may have trouble finding mates and maintaining genetic diversity. Population density can also be used to track changes in populations over time, and to inform conservation and management efforts.
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To make cheer hair bows out of ribbon, Rachel needs 2 ¼ feet of ribbon. If Rachel bought 13 ½ yards of ribbon at a sale, how many hair bows could she make? (NS.1)
Answer: the answer is 5
Step-by-step explanation:
Solve the rational equation quantity 4x-1/12 = 11/12
Options
x = 2.5
x = 2.7
x = 3
x = 4
A student has to take two quizzes tomorrow. He has only enough time to study for one of them. The history quiz has 5 true or false questions. The science quiz has 3 multiple choice questions.
Answer:
I think C) because there is a higher probability
Step-by-step explanation:
Select the correct answer Find the product 3(x + 4)(x - 5)
\( {3x}^{2} - 3x - 60\)
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how do you proof of shephards lemma?
The proof of Shephard's Lemma is dxₐ / dpₐ = vₐ / w.
Shephard's Lemma is a fundamental economic principle that plays a significant role in microeconomics. The lemma was developed by the economist Kevin Shephard in 1953, and it has been widely used in the analysis of production and cost functions. Essentially, Shephard's Lemma provides a method for decomposing changes in input demands into substitution and scale effects.
In mathematical terms, Shephard's Lemma can be expressed as:
dxₐ / dpₐ = vₐ / w
Where dxₐ is the change in the demand for input a, dpₐ is the change in the price of input ₐ, vₐ is the share of input i in total cost, and w is the cost of the output. The lemma states that the derivative of the demand for input i with respect to its own price is equal to the ratio of the input's share of total cost to the cost of the output.
Using the concept of Lagrangian optimization, we can write the firm's cost minimization problem as:
min wq = ∑ wₐ xₐ subject to f(x) = q
Where q is the level of output, wₐ is the price of input i, and xi is the amount of input i used. The Lagrangian function is then:
L = wq + ∑ wₐ xₐ - λ (f(x) - q)
Where λ is the Lagrange multiplier. Taking the partial derivative of the Lagrangian with respect to xₐ yields:
∂L / ∂xₐ = wₐ - λ ∂f / ∂xₐ = 0
Which can be rearranged to give:
dxₐ / dpₐ = λ / wₐ
Substituting λ from the first-order condition for profit maximization, which states that the marginal product of each input should be equal to its price, we get:
dxₐ / dpₐ = vₐ / w
This is the same as Shephard's Lemma. It shows that changes in input demands can be decomposed into substitution effects, which are captured by the ratio of input prices, and scale effects, which are captured by the cost of the output.
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compute |u x v| if u and v are unit vectors and the angle between them is π 4.
Answer:
Step-by-step explanation:
To compute the magnitude of the cross product |u x v|, we need to know the values of u and v. However, you mentioned that u and v are unit vectors, which means their magnitudes are both equal to 1.
The magnitude of the cross product between two vectors u and v is given by |u x v| = |u| * |v| * sin(theta), where theta is the angle between the two vectors.
In this case, since u and v are unit vectors, their magnitudes are both equal to 1. Additionally, you mentioned that the angle between u and v is π/4.
Therefore, |u x v| = 1 * 1 * sin(π/4) = 1 * 1 * (√2/2) = √2/2.
Hence, the magnitude of the cross product |u x v| is equal to √2/2.
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Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(â1.12 ⤠z ⤠2.73) =
The probability that z lies between -1.12 and 2.73 in a standard normal distribution is approximately 0.8653.
Let z be a random variable with a standard normal distribution. You need to find the probability P(-1.12 ≤ z ≤ 2.73).
To find this probability, follow these steps:
1. Identify the given values: z1 = -1.12 and z2 = 2.73.
2. For a standard normal distribution, you need to use the standard normal table (z-table) or a calculator with a built-in standard normal distribution function to find the probabilities associated with z1 and z2.
3. Look up the probabilities for z1 and z2 in the z-table or use a calculator:
P(z ≤ -1.12) = 0.1314 and P(z ≤ 2.73) = 0.9967.
4. Calculate the probability of the given range by subtracting the smaller probability from the larger one:
P(-1.12 ≤ z ≤ 2.73) = P(z ≤ 2.73) - P(z ≤ -1.12) = 0.9967 - 0.1314 = 0.8653.
5. Round your answer to four decimal places:
P(-1.12 ≤ z ≤ 2.73) = 0.8653.
So, the probability that z lies between -1.12 and 2.73 is approximately 0.8653.
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Alec made a scale drawing of a house. The dinning room, whivch is 8 meters long in real life, is 18 centimeters long in the drawing. What scal did Alec use?
Alec used a scale of 1:44 for the drawing of the house. In other words, each centimeter on the drawing represents 44 centimeters in real life. This scale allows him to accurately represent the dimensions of the dining room, which measures 8 meters in reality but appears as 18 centimeters on the drawing.
In scale drawings, the scale ratio represents the proportional relationship between the dimensions on the drawing and the corresponding dimensions in real life. In this case, Alec's scale of 1:44 means that for every 1 centimeter on the drawing, the actual length in real life is 44 centimeters. To determine this scale, Alec likely divided the length of the dining room in real life (8 meters or 800 centimeters) by the length of the dining room in the drawing (18 centimeters). The result, 44, indicates the conversion factor between the drawing and reality. Therefore, Alec's scale drawing accurately represents the proportions and measurements of the house, with each centimeter on the drawing corresponding to 44 centimeters in real life.
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Health and safety guidelines set the highest sound intensity level in the workplace to 90. 0 db. One workshop with 32 similar machines produces a sound intensity level of 92. 0 db. How many of them must be shut down to bring the workshop into compliance with the guidelines?.
The sound intensity level should be decreased by 2 dB to carry the studio into consistency with the rules.
A decrease of 2 dB can be accomplished by one or the other by closing down a portion of the machines (since the sound intensity level declines by 6 dB for each splitting of the sound power) or by introducing sound-sealing materials.
Thus, to carry the studio consistent with the rules, 16 machines would need to be closed down.
It's vital to follow well-being and security rules in the working environment to guarantee the prosperity of representatives and forestall hearing harm. Decreasing the number of machines or introducing soundproofing materials can bring the studio into consistency.
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The divergence test applied to the series 3n 2n +1 tells us that the series the series converges. the series converges the series diverges. further testing is needed.
The limit of the sequence of terms of a series is zero, this test alone does not prove that the series converges, and further testing is needed to determine convergence or divergence.
The divergence test is a test used to determine if a series converges or diverges. It states that if the limit of the sequence of terms of a series is not zero, then the series diverges.
The series 3n/(2n + 1) can be simplified to
=3/2 - 3/4n + 3/4n+1.
As n approaches infinity, the terms in the series approach 3/4n, which approaches infinity as n approaches infinity.
Therefore, the limit of the sequence of terms of this series is not zero, and so the series diverges. Thus, the answer to the question is the series diverges.
A more general form of the divergence test states that if the limit of the sequence of terms of a series is not zero, then the series diverges. However, if the limit of the sequence of terms of a series is zero, this test alone does not prove that the series converges, and further testing is needed to determine convergence or divergence.
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the test in an if function must evaluate to either a true or a false.
Yes, the test in an "if" function must evaluate to either a True or a False value.
An "if" function, also known as a conditional statement, is used to perform specific actions based on whether a certain condition is met or not. The test or condition within the "if" function needs to be evaluated as either True or False in order for the program to decide which action to execute. If the test evaluates to True, the program will perform the action within the "if" block, and if it evaluates to False, it will either execute the action in the "else" block (if present) or simply skip the "if" block.
When using an "if" function in programming, it is essential for the test or condition within the statement to result in a boolean value, which is either True or False. This is because the program needs to determine whether the condition is met or not, so it can decide which set of actions to execute. If the condition evaluates to True, the code within the "if" block will be executed, while if it evaluates to False, the code within the "else" block (if present) will be executed, or the "if" block will be skipped altogether.
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PLEASE HELP- and fast please!! I’ll give brainliest!!!! This is overdue
This pre-image was rotated 180 degrees about the origin
Use the segment to draw the image.
Answer:
sorry do not know the answer, but this is all i got for you. hope it helps.
Step-by-step explanation:
One of the simplest and most common transformations in geometry is the 180-degree rotation, both clockwise and counterclockwise. If P (x, y) is a point that must be rotated 180 degrees about the origin, the coordinates of this point after the rotation will only be of the opposite signs of the original coordinates.
A newsletter publisher believes that 20 % of their readers own a Rolls Royce. Is there sufficient evidence at the 0.010.01 level to refute the publisher's claim
Yes, there is sufficient evidence to refute the publisher's claim that 20% of their readers own a Rolls Royce at the 0.01 level.
Is there evidence to support <20% Rolls Royce ownership among the publisher's readers?The hypothesis test result indicates that the p-value is less than 0.01, which means the null hypothesis can be rejected at a 0.01 level of significance. Therefore, there is evidence to suggest that the true percentage of Rolls Royce owners among the newsletter publisher's readers is less than 20%. This could have implications for the publisher's advertising strategy and target audience.
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Please help : Find the slope
Answer:
Most likely the slope is going to be -2
Answer:
Slope = 7/4
Step-by-step explanation:
Slope:
Choose any two points on the line.
(-1 , -3) x₁ = -1 & y₁ = -3
(3 , 4) x₂ = 3 & y₂ = 4
\(\boxed{Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}\)
\(\sf = \dfrac{4-[-3]}{3-[-1]}\\\\=\dfrac{4+3}{3+1}\\\\=\dfrac{7}{4}\)
The scale of a map is 1:50 000. A distance is measured as 3cm on the map. How many cm, m and km is this equivalent to in real life?
please help, my teacher won't respond to email and everyone else is busy
Answer:
16.
x<5
hope this helps!!:)
Step-by-step explanation:
please help!!! due tomorrow
(1 and 3 done)
The volumes of the figures are 728 cubic meters, 47.14 cubic yards, 1260 cubic centimeters, 5581.71 cubic inches and 860.07 cubic inches
Calculating the volumes of the figuresFigure 1:
The volume is calculated as
Volume = Product of dimensions/3
So, we have
Volume = 13 * 8 * 21/3
Volume = 728 cubic meters
Figure 2:
The volume is calculated as
Volume = πr²h
So, we have
Volume = 22/7 * 5² * 3/5
Volume = 47.14 cubic yards
Figure 3:
The volume is calculated as
Volume = Product of dimensions
So, we have
Volume = 14 * 18 * 5
Volume = 1260 cubic centimeters
Figure 4:
The volume is calculated as
Volume = 1/3πr²h
So, we have
Volume = 1/3 * 22/7 * 12² * 37
Volume = 5581.71 cubic inches
Figure 5:
The volume is calculated as
Volume = 1/3h(a² + b²)
So, we have
Volume = 1/3 * 13.3 * (16 * 6 + 14 * 7)
Volume = 860.07 cubic inches
Other dimensions are not clear
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I really need help on this one like asap so if someone can help me i'll be very happy. the question is Determine which equation is false, based on the solution set S:{2}.
7 = 6p − 5
4t = 8
3(3c + 1) = 21
5m + 8 = 16
3(3c + 1) = 21 is false
Answer:
3(3c + 1) = 21 is false.
Step-by-step explanation:
Find the co-ordinate of a pont on Y-axis which is at a distance of 17 units from the point(-8,3)
Answer:
15 units
Step-by-step explanation:
√[ 17² - ( - 8)² ] = 15 ( on y-axis )
Coordinate of the point = ( 0 , 15 )
The cost of 6 sandwiches and 4 drinks is $53. The code of 4 sandwiches and 6 drinks is $47. How much does one sandwich cost?
Answer:
$6.50
Step-by-step explanation:
SET UP A SYSTEM OF EQUATIONS WHERE SANDWHICHES IS REPRESENTED BY S AND DRINKS BY D:
6S+4D = 53
4S+6D=47
ADD THEM TOGETHER
10S+10D=100
SOLVE FOR D
10D = 100 - 10S
D = 10-S
SUBSTITUTE THAT VALUE INTO ONE OF THE ORIGINAL EQUATIONS
4S + 6(10-S) = 47
4S + 60 - 6S = 47
COMBINE LIKE TERMS
-2S + 60 = 47
SUBTRACT 60 FROM BOTH SIDES
-2S = -13
DIVIDE BY -2
S = 13/2
S = $6.50
Answer:
One sandwich is going to cost 6.50 while a drink is going to cost 3.50
Step-by-step explanation:
"We want to find and solve a system of equations to find the cost of one sandwich.
Each sandwich costs $6.50
We can start by defining the variables:
x = price of a sandwich
y = price of a drink.
Then from the given information we can write the equations:
6*x + 4*y = $53
4*x + 6*y = $47
We want to solve this for x, then we need to isolate y in one of the equations. Isolating y in the second equation we get:
y = ($47 - 4*x)/6
Now we can replace this in the other equation and solve it for x:
6*x + 4*($47 - 4*x)/6 = $53
6*x + $31.33 - (16/6)*x = $53
(20/6)*x = $53 - $31.33 = $21.67
x = (6/20)*$21.67 = $6.50" solved by
facundo3141592
Evaluate F=9/5C+32 for C = 35 degrees.
82
63
67
95
Answer:
95
Step-by-step explanation:
find the slope of a line parallel to each given line y = -5/3x
Answer:
Slope = -5/3
Step-by-step explanation:
Parallel lines have the same slope, so the slope will be -5/3.
Hope this helps!!
Answer:
-5/3x
Step-by-step explanation:
its the same slope
Given:
is a right angle
Prove:
A perpendicular line between AC and BD has a point of intersection of midpoint O
Since
is a right angle, it is. Is supplementary to
, so. By the substitution property of equality,. Applying the subtraction property of equality,. What statement is missing from the proof?
The statement missing from the proof is "A perpendicular line drawn between two parallel lines creates congruent alternate interior angles."
We know that the right angle is. Thus, m∠ADC = 90°And as ∠ADC is supplementary to ∠ACB,∠ACB = 90°. We have AC ⊥ BD and it intersects at O. Then we have to prove O is the midpoint of BD.
For that, we need to prove OB = OD. Now, ∠CDB and ∠BAC are alternate interior angles, which are congruent because AC is parallel to BD. So,
∠CDB = ∠BAC.
We know that ∠CAB and ∠CBD are also alternate interior angles, which are congruent, thus
∠CAB = ∠CBD.
And in ΔCBD and ΔBAC, the following things are true:
CB = CA ∠CBD = ∠CAB ∠BCD = ∠ABC.
So, by the ASA (Angle-Side-Angle) Postulate,
ΔCBD ≅ ΔBAC.
Hence, BD = AC. But we know that
AC = 2 × OD
So BD = 2 × OD.
So, OD = (1/2) BD.
Therefore, we have proven that O is the midpoint of BD.
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