The variables x, y, z associated to the parallelogram are equal to 60, respectively.
How to find the measures of the variables associated to the angles of a parallelogram
A parallelogram is a quadrillateral formed by two pairs of parallel sides. The figure shows a parallelogram since the following relationships are met: BC ║ AD, AB ║ CD. We need three equations to determine the values of x, y and z and this can be obtained by means of parallelogram properties:
y = x
y + (x + y) = 180°
z + (x + y) = 180°
First, substitute x on the second and third equations:
3 · y = 180°
z + 2 · y = 180°
Second, find y:
y = 180° / 3
y = 60
Third, find z:
z = 180° - 2 · y
z = 180° - 2 · 60
z = 180° - 120°
z = 60
Fourth, find x:
x = 60
The values of variables x, y, z are 60, respectively.
To learn more on parallelograms: https://brainly.com/question/11220936
#SPJ1
6,520 to 9,408
Percent of change
Answer:
The percent of change is 144.29447% because 2,888 is 44.29447% of 6,520
Step-by-step explanation:
how many inches should be added to the widest aspect of the user's buttocks when determining the seat width of a wheelchair?
The proper way to determine the seat width of a wheelchair for an individual is to measure the widest aspect of their hips or thighs, and then add approximately 2 inches to that measurement to determine the minimum seat width.
The extra 2 inches are required to allow for comfortable placement, movement, and sitting in the wheelchair. It's crucial to remember that this serves only as a basic guideline and that the actual seat width needed may change based on the demands and preferences of the individual.
For instance, people with particular medical issues or disabilities could need seats that are larger or narrower than average. Therefore, it is advised that a healthcare professional be consulted to help identify the best seat width for a particular person, such as an occupational therapist or physical therapist.
To know more about wheelchair patient, refer:
https://brainly.com/question/26709707
#SPJ4
Members of a soccer team raised $1724 to go to a tournament. They rented a bus for $948.50 and budgeted $35.25 per player for meals. Determine the number of players the team can bring to the tournament.
Answer:
They can bring up to 22 players
Step-by-step explanation:
They raised $1,724.00. They rented a bus for $948.50
$1,724.00 - $948.50 = 775.50
Since a meal costs $35.25, we will divide $775.50 by $35.25
$775.50 / $35.25 = 22
Which means they can bring 22 players to the tournament.
Jade wants to explore possible time trends in her sales data. She has weekly sales data from 2015-2021. What type of plot should you advise her to use to visualize this data?
Overall, a line plot or line graph provides a clear and concise way to visualize the time trends in sales data, enabling Jade to make informed decisions and observations about her business performance over the years.
Time-based Representation: A line plot uses the x-axis to represent time, allowing Jade to easily track changes in sales over the years. The chronological order of the data points helps in observing patterns and trends over time.
Continuous Data Connection: A line plot connects the data points with a line, indicating the continuity of the variable being plotted. This is particularly useful for sales data, as it emphasizes the flow and progression of sales over time.
Visualizing Trends: By examining the slope and direction of the line in the graph, Jade can identify whether her sales are increasing, decreasing, or remaining relatively stable over the years. This visual representation helps in understanding the overall trend in sales performance.
Comparative Analysis: Jade can compare sales data from different years by observing the relative position of the lines or data points on the graph. This allows her to identify specific years or periods that experienced significant changes in sales.
Seasonal Patterns: If there are recurring patterns or seasonality in the sales data, a line plot can reveal these fluctuations. Jade can identify regular peaks and valleys in sales and analyze how they align with specific times of the year.
To know more about line graph,
https://brainly.com/question/30214231
#SPJ11
Problem 2: Arrivals at Wendy’s Drive-through are Poisson
distributed at
a rate of 1.5 per minute.
(a) What is the probability of zero arrivals during the next
minute
(b) What is the probability of z
(10 points) Problem 3: In Problem 2, suppose there is one employee working at the drive through. She serves each customer in 1 minute on average and her service times are exponentially distributed. Wh
(a) The probability of zero arrivals during the next minute is approximately 0.2231. (b) The probability of z service times less than or equal to a given value can be calculated using the exponential distribution formula.
(a) The probability of zero arrivals during the next minute can be calculated using the Poisson distribution with a rate of 1.5 per minute. Plugging in the rate λ = 1.5 and the number of arrivals k = 0 into the Poisson probability formula, we get P(X = 0) = e^(-λ) * (λ^k) / k! = e^(-1.5) * (1.5^0) / 0! = e^(-1.5) ≈ 0.2231.
(b) In the second part of the problem, the employee serves each customer in 1 minute on average, and the service times follow an exponential distribution. The probability of z service times less than or equal to a given value can be calculated using the exponential distribution. We can use the formula P(X ≤ z) = 1 - e^(-λz), where λ is the rate parameter of the exponential distribution. In this case, since the average service time is 1 minute, λ = 1. Plugging in z into the formula, we can calculate the desired probability.
Note: Since the specific value of z is not provided in the problem, we cannot provide an exact probability without knowing the value of z.
To learn more about probability click here
brainly.com/question/31828911
#SPJ11
work out the area of the triangle 35.7m 17m 28.9m 13.6m
Answer:
N/A
Step-by-step explanation:
the question is not in depth could you add a photo
What is the probability that either event will occur?
Now, find the probability of event A and event B.
A
B
6
6
20
20
P(A and B) = [?]
The probability of event A and event B is 6.
Given that, P(A)=6, P(B)=20 and P(A∩B)=6.
P(A/B) Formula is given as, P(A/B) = P(A∩B) / P(B), where, P(A) is probability of event A happening, P(B) is the probability of event B.
P(A/B) = P(A∩B) / P(B) = 6/20 = 3/10
We know that, P(A and B)=P(A/B)×P(B)
= 3/10 × 20
= 3×2
= 6
Therefore, the probability of event A and event B is 6.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ1
The Venn diagram represents all students attending Pythagorean High School. Circle A represents all students that are enrolled in extracurricular activities. Circle B represents all female students. There are 200 females not enrolled in extracurricular activities, the enrollment of the high school is 1,000, and there are 450 male students. How many students are represented by the portion of the Venn diagram not in either circle if 90 male students are enrolled in extracurricular activities?
A.
10
B.
360
C.
450
D.
560
Answer:B)360
Step-by-step explanation:
Answer:
B 360
Step-by-step explanation:
Look at the picture please
Answer:
3rd one
Step-by-step explanation:
Range goes to the y-values
The y values are 16 19 and 16
So the range will be (16,19)
Suppose the parallelogram JKLM has vertices:
J (2, 1)
K (7, 1)
L (6, −3)
M (1, −3)
Write each transformation in function notation and find the new coordinates of each point.
1. J' if the parallelogram is rotated counterclockwise 270° about the origin?
2. K' if the parallelogram is rotated counterclockwise 180° about the origin?
3. L' if the parallelogram is rotated counterclockwise 90° about the origin?
4. M' if the parallelogram is rotated counterclockwise 90° about the origin?
I NEED HELP
Answer:
1. For a rotation of 270° counterclockwise about the origin the coordinates of J' is (1, -2)
2. For a rotation of 180° counterclockwise about the origin the coordinates of K' is (-7, -1)
3. For a rotation of 90° counterclockwise about the origin the coordinates of L' is (3, 6)
4. For a rotation of 90° counterclockwise about the origin the coordinates of M' is (3, 1)
Step-by-step explanation:
The coordinates of the vertices of the parallelogram are given as follows;
J(2, 1), K(7, 1), L(6, -3), M(1, -3)
1. We have, for a rotation of 270° counterclockwise about the origin we have
f(x, y) = (y, -x)
Therefore, we have for the vertices;
f(J(2, 1)) = J'(1, -2)
Therefore, we have the coordinates of J' as (1, -2);
2. We have, for a rotation of 180° counterclockwise about the origin we have
f(x, y) = (-x, -y)
Therefore, we have for the vertex point K;
f(K(7, 1)) = K'(-7, -1)
3. We have, for a rotation of 90° counterclockwise about the origin we have
f(x, y) = (-y, x)
Therefore, we have for the vertex point L;
f(L(6, -3)) = L'(3, 6)
4. We have, for a rotation of 90° counterclockwise about the origin we have
f(x, y) = (-y, x)
Therefore, we have for the vertex point M;
f(M(1, -3)) = M'(3, 1)
PLEASE HELP and EXPLAIN I will mark the brainliest if two people type the answer I will choose the best.
Answer:
C
Step-by-step explanation:
Let's review some sets of numbers.
Natural numbers: 1, 2, 3, 4, ...
The natural numbers are the counting numbers. You normally start counting with 1, not 0, and you only count whole numbers.
Whole numbers: 0, 1, 2, 3, 4, 5, ...
The whole numbers are the counting numbers with the addition of zero. There are no negative numbers in the whole numbers.
Integers: ..., -3, -2, -1, 0, 1, 2, 3, ...
The integers are the natural numbers, plus zero, plus the negatives of the natural numbers. All numbers are whole with no decimal part.
Rational numbers
The rational numbers are all numbers that can be written as a fraction of integers. For example, 1 can be written as 3/3, so 1 is a rational number. All natural numbers, whole numbers, and integers are rational numbers. Other rational numbers are numbers that are not whole, such as 2.5, 7/8, 1/4, etc. These numbers can be written as fractions of integers. Rational numbers written as decimal numbers will either be an integer, a terminating decimal, or a non-terminating, repeating decimal.
Up to here, each new set includes the previous set.
Now things change. If a number is rational, it is not irrational.
If a number is irrational, it is not rational.
Irrational numbers
Irrational numbers are always non-terminating, non-repeating decimals. They cannot be written as fractions of integers. Examples: √2, π
Now let's look at this problem.
We have a negative decimal number. The bar above the 12 means the digits 12 are repeating. This number can also be written as -0.121212...
Since our number is a non-terminating, repeating decimal, it is a rational number.
Answer: C
Michelle has $8 and wants to buy a combination of dog food to feed at least two dogs at the animal shelter. A serving of dry food costs $1, and a serving of wet food costs $3. This system of inequalities models the scenario: x + 3y ≤ 8 x + y ≥ 2 Part A: Describe the graph of the system of inequalities, including shading and the types of lines graphed. Provide a description of the solution set. (4 points) Part B: Is the point (8, 2) included in the solution area for the system? Justify your answer mathematically. (3 points) Part C: Choose a point in the solution set and interpret what it means in terms of the real-world context. (3 points)
Part A: The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.
Part B: The point (8, 2) is not included in the solution area.
Part C: The point (3, 1) represents one feasible solution that meets the constraints of the problem.
Part A: The graph of the system of inequalities consists of two lines and a shaded region. The line x + 3y = 8 is a solid line because it includes the equality symbol, indicating that points on the line are included in the solution set. The line x + y = 2 is also a solid line. The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.
Part B: To determine if the point (8, 2) is included in the solution area, we substitute the x and y values into the inequalities:
8 + 3(2) ≤ 8
8 + 6 ≤ 8
14 ≤ 8 (False)
Since the inequality is not satisfied, the point (8, 2) is not included in the solution area.
Part C: Let's choose a point in the solution set, such as (3, 1). This point satisfies both inequalities: x + 3y ≤ 8 and x + y ≥ 2. In the context of the real-world scenario, this means that Michelle can buy 3 servings of dry food (x = 3) and 1 serving of wet food (y = 1) with her $8 budget. This combination of dog food allows her to feed at least two dogs at the animal shelter while staying within her budget. The point (3, 1) represents one feasible solution that meets the constraints of the problem.
For more such questions on feasible region
https://brainly.com/question/29084868
#SPJ8
Please help me !! I need help ASAP
Answer:
1/5
Step-by-step explanation:
solve the equation using the quadratic formulax^2+6x-2=0x=?
a = 1, b = 6, c = -1
Using the quadratic formula:
\(x\text{ = }\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}=\frac{-6\pm\sqrt[]{6^2-4\cdot1\cdot(-2)_{}}}{2\cdot1}=\frac{-6\pm\sqrt[]{36+8}}{2}=\frac{-6\pm\sqrt[]{44}}{2}=\frac{-6\pm6.6332}{2}\)\(x_1=\frac{-6+6.6332}{2}=\frac{0.6332}{2}=0.3166\)\(x_2=\frac{-6-6.6332}{2}_{}_{}=\frac{-12.6332}{2}=-6.3166\)Answer:
x1 = 0.3166
x2 = -6.3166
One week, Claire earned $395.00 at her job when she worked for 25 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $126.40?
hurry, please<3
Answer:
8?
Step-by-step explanation:
so if 25 hours gets her to 395 dollars that you divide 395 by 25 to get how much money she makes per hour.
you get 15.8 then you have to see how many hours she has to work to make 126.40 which is 8 cuz 15.8 * 8 = 126.4
I THINK??
4. Prove/disprove: (a) The functionT:Rn→Rdefined byT(v)=∥v∥is a linear transformation. (b) Letx∈Rnbe a fixed vector. The functionT:Rn→Rdefined byT(v)=v⋅xis a linear transformation. (c) LetA∈Mn×n(F)be an invertible matrix, and letTA:Fn→Fnbe the linear transformation determined byA. For ally∈Fn, there exists a uniquex∈Fnsuch thatTA(x)=y(d) LetA,B∈Mn×n(F). Suppose thatAB=ATand thatAis invertible. ThenBmust be invertible.
a)T(v)=∥v∥ is not a linear transformation.
b)T(v)=v⋅x is a linear transformation.
c)TA(x)=y.
d)B must also be invertible.
a) The function T:Rn→R defined by T(v)=∥v∥ is not a linear transformation.
b) The function T:Rn→R defined by T(v)=v⋅x is a linear transformation.
c) Let A∈Mnxn(F) be an invertible matrix, and let TA:Fn→Fn be the linear transformation determined by A. For all y∈Fn, there exists a unique x∈Fn such that TA(x)=y.
d) Let A,B∈Mnxn(F). Suppose that AB=AT and that A is invertible. Then B must also be invertible.
Learn more about invertible matrix
brainly.com/question/30754589
#SPJ11
Luis takes 35 minutes to ride his bike 3 miles. He rode his bike 25 miles
last week. Which equation can be used to find t, the number of minutes
that Luis rode his bike last week?
The equation that can be used to find t, the number of minutes that Luis rode his bike last week, is t = 875/3, which represents the total time in minutes for his 25-mile ride based on the average time it took him to ride 3 miles.
We can use proportions to find the number of minutes Luis rode his bike last week. Since Luis took 35 minutes to ride 3 miles, we can set up a proportion to relate the time and distance for his entire ride: 35 minutes / 3 miles = t minutes / 25 miles
To solve for t, we cross-multiply and simplify: 35 * 25 = 3 * t, 875 = 3t, t = 875 / 3, t ≈ 291.67 minutes
Therefore, the equation that can be used to find t, the number of minutes that Luis rode his bike last week, is t = 875/3, which represents the total time in minutes for his 25-mile ride based on the average time it took him to ride 3 miles.
To know more about equation, refer here:
https://brainly.com/question/10413253#
#SPJ11
Please help me I’m horrible at math and have a assignment due soon.
Answer:
9 x b =36
Step-by-step explanation:
Hopefully, this is helpful
Which expression is equivalent to [CHECK IMAGE BELOW], if x > 0?
Answer:
C. 4x²√(3x)
Step-by-step explanation:
You want to simplify √(48x⁵).
Simplifying RadicalsSquare root expressions can be simplified by removing perfect squares from under the radical:
\(\sqrt{48x^5}=\sqrt{16x^4\cdot3x}=\sqrt{(4x^2)^2}\cdot\sqrt{3x}=\boxed{4x^2\sqrt{3x}}\)
(b) The exact value of q is
-6+√44
2
Write
-6+√44
2
in the form a + √b.
The exact value of q in the form a + √b. IS -6 + √44 / 2 = -3 + √22.
What is equation?An equation is a mathematical statement that asserts the equality of two expressions. It contains variables and operators (such as +, -, x, ÷) and the goal is often to find the value of the variables that make the equation true. For example, 2x + 3 = 7 is an equation where x is the variable and the goal is to find the value of x that makes the equation true.
Learn more about equation in brainly.com/question/29657992
#SPJ1
will the sampling distribution of x overbarx always be approximately normally distributed? explain.
If these conditions are met, the sampling distribution of x will be approximately normally distributed. This is helpful in statistical analyses, as it allows us to make inferences about the population mean using the properties of the normal distribution.
The sampling distribution of x (the sample mean) will be approximately normally distributed if certain conditions are met. These conditions are based on the Central Limit Theorem (CLT), which states that:
1. The sample size (n) is large enough, typically n > 30. This ensures that the sampling distribution of x becomes more normally distributed as the sample size increases.
2. The population from which the sample is drawn is either normally distributed or the sample size is large enough to compensate for non-normality.
The sampling distribution of x overbarx (the sample mean) will be approximately normally distributed if certain conditions are met. These conditions include:
1. The population distribution must be normal or approximately normal.
2. The sample size should be large (typically n > 30).
3. The samples should be randomly selected from the population.
If these conditions are met, the sampling distribution of x will be approximately normally distributed. This is helpful in statistical analyses, as it allows us to make inferences about the population mean using the properties of the normal distribution.
Learn more about population mean:
brainly.com/question/30727743
#SPJ11
jenny is 12 years older than Steve. five years ago, Jenny was four times older than steve was then. how old are each of them now
Answer:
Jenny 21 years old and Steve 9 years old
In triangle JKL, if m
Answer:
\(\angle L = 52\\\\\angle J = 45\\\\\angle K = 83\)
Step-by-step explanation:
\(\angle J = \angle L-7\\\\\angle K=2\angle L-21\\\\\angle L = \angle L\)
we know that
\(\angle K +\angle J + \angle L =180\) by the sum of interior angles of a triangle
so we have
\((\angle L -7)+(2\angle L -21)+(\angle L)=180\)
we can simplify
\((\angle L + 2\angle L + \angle L)+(-7-21)=180\\\\4\angle L -28=180\\\\4\angle L=180+28\\\\4\angle L = 208\\\\\angle L = 52\)
and now we find the other angles
\(\angle J = \angle L -7\\\\=52-7\\\\=45\)
\(\angle K = 2\angle L -21\\\\=2(52)-21\\\\=104-21\\\\=83\)
In geometry, the kissing number of a mathematical space is defined as the greatest number of non-overlapping unit spheres that can be arranged in that space such that they each touch a common unit sphere.
Is the explanation true or false?
Sorry bout the cringe btw... it’s my math problem.
I’ll mark brainleist if you anwser.
Answer:
this explanation is false
WILL GIVE BRAINLIEST
Answer:
C i think
Step-by-step explanation:
pls mark brainyest
In an experiment to study the growth of bacteria, a medical student measured 5000 bacteria at time 0 and 8000 at time 10 minutes. Assuming that the number of bacteria grows exponentially, how many bacteria will be present after 30 minutes? a. 14000 bacteria
b. 20480 bacteria c. 17830 bacteria
d. 24332 bacteria e. 29333 bacteria
Therefore, there will be approximately 20,480 bacteria after 30 minutes. The correct answer is (b) 20,480 bacteria.
In this experiment, we have an initial bacterial count of 5,000 at time 0 and a count of 8,000 at 10 minutes. Since the growth is exponential, we can use the exponential growth formula:
\(N(t) = N₀ * (1 + r)^t\)
Where N(t) is the number of bacteria at time t, N₀ is the initial number of bacteria, r is the growth rate, and t is the time.
First, let's find the growth rate using the data provided:
\(8000 = 5000 * (1 + r)^{10\\\\(1 + r)^{10} = 8000 / 5000 = 1.6\)
Now, let's find the 10th root of 1.6 to find the growth rate (1 + r):
\(1 + r = 1.6^{1/10} =1.0481\)
So, the growth rate (r) is approximately 0.0481.
Next, we want to find the number of bacteria after 30 minutes:
N(30) = 5000 * (1.0481)^30 ≈ 20480.18
Therefore, there will be approximately 20,480 bacteria after 30 minutes. The correct answer is (b) 20,480 bacteria.
learn more about exponential growth formula
https://brainly.com/question/13877030
#SPJ11
Mary stocked books to sell at a street fair the ratio of comic books to mystery books is 2:5 Lina stocked no more than 100 of each type of book complete the table to determine how many comic books and mystery books Mary may have stocked
The question you posted is incomplete and does not have a table to complete. Can you please provide the table or the missing information so that I can answer your question properly?
Angel has $85 to spend . He spent $20 on food and saved the rest of his money for games. each game cost $5 Write an inequality to represent how many games , g Angel can play?
Answer:
85 = 5x + 20 is the inequality.
Step-by-step explanation:
Why is it right? Because I said so.
Just kidding. Here:
The cost of the games, 5, is multiplied by x, which is the amount of games that Angel will buy. To solve:
Subtract 20 from both sides:
65 = 5x
Divide 65 by 5.
The answer of the question is: Angel can buy 13 games. (Angel! That's a waste of 65 bucks!)
A firm experiences_______ if inputs are doubled and output more than doubles. diminishing marginal rate of technical substitution diminishing marginal product decreasing returns to scale increasing returns to scale
A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.
When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.
The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.
This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.
The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.
Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.
For more such question on doubled visit:
https://brainly.com/question/30599213
#SPJ8
this might be a waste of time but. 1-6 :)
Answer:
1. 6 yd
2. 32 oz
3. 8 fl oz
4. 10560 ft
5. 2.5 ton
6.
Step-by-step explanation:
I can't see the rest of 6