The mood of the syllogism is AEA-2 (All F are C, No R are F, therefore No R are C). The figure is 1, as both premises share the middle term C.
The Venn diagram would have three circles: one for F (fossil fuels), one for R (renewable forms of energy), and one for C (combustible gases). The F circle would be fully contained within the C circle, indicating that all fossil fuels are combustible gases. The R circle would be completely outside of the F circle, indicating that no renewable forms of energy are fossil fuels. The area where the C and F circles overlap would be shaded, indicating that some combustible gases are fossil fuels. However, the R circle would not overlap with the C circle, indicating that no combustible gases are renewable forms of energy. Overall, the diagram visually represents the syllogism and its conclusion that some combustible gases are not renewable forms of energy.
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In a city library, the mean number of pages in a novel is 525 with a standard deviation of 200. Approximately 30% of the novels have fewer than 400 pages. Suppose that you randomly select 50 novels from the library. What is the probability that the average number of pages in the sample is less than 500?
Using the normal distribution and the central limit theorem, it is found that there is a 0.1894 = 18.94% probability that the average number of pages in the sample is less than 500.
Normal Probability DistributionIn a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).In this problem:
The mean is 525, hence \(\mu = 525\).The standard deviation is 200, hence \(\sigma = 200\).A sample of 50 is taken, hence \(n = 50, s = \frac{200}{\sqrt{50}}\).The probability that the average number of pages in the sample is less than 500 is the p-value of Z when X = 500, hence:
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{500 - 525}{\frac{200}{\sqrt{50}}}\)
\(Z = -0.88\)
\(Z = -0.88\) has a p-value of 0.1894.
0.1894 = 18.94% probability that the average number of pages in the sample is less than 500.
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What is the difference between alternate interior angles and interior angles? explain.
Alternate interior angles and interior angles are both types of angles that are formed by two parallel lines and a transversal intersecting them.
Interior angles are the angles that are formed on the inside of the parallel lines by the transversal. Alternate interior angles, on the other hand, are a pair of non-adjacent interior angles that are located on opposite sides of the transversal and on the inside of the parallel lines. In other words, alternate interior angles are interior angles that are not adjacent to the angle in question. The key difference between alternate interior angles and interior angles is their location. Interior angles are any angles that are formed on the inside of the parallel lines by the transversal, while alternate interior angles specifically refer to a pair of non-adjacent interior angles that are on opposite sides of the transversal. Understanding the difference between these two types of angles can be helpful in solving geometric problems involving parallel lines and transversals.
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Barton wants to know how much his packed suitcase weighs before he leaves to catch a flight. The airline will charge an extra fee if his suitcase weighs more than 50 pounds. Which method should Barton use to get the most accurate and appropriate measurement?
Barton should use a luggage scale to get the most accurate and appropriate measurement of his packed suitcase before he leaves to catch a flight. A luggage scale is a compact and portable device that is designed specifically to weigh luggage. Using a luggage scale is easy and convenient as it allows travelers to weigh their bags accurately, ensuring that they are within the airline's weight limit. To use a luggage scale, Barton should follow these simple steps:
Step 1: Attach the luggage strap Barton should attach the luggage strap to the handle of his suitcase.The strap should be attached in such a way that it can support the weight of the suitcase without slipping or coming off.
Step 2: Turn on the luggage scale Barton should turn on the luggage scale and wait for it to calibrate. This usually takes a few seconds. Once the scale is calibrated, it will display a zero reading.
Step 3: Lift the suitcase Barton should lift the suitcase by the luggage strap until it is off the ground. The luggage scale will display the weight of the suitcase on its digital display. This reading is the weight of the suitcase including all the contents inside.
Step 4: Check the weight If the weight of the suitcase is less than 50 pounds, Barton can go ahead and catch his flight without worrying about any extra charges. If the weight of the suitcase is more than 50 pounds, Barton will have to remove some items from the suitcase or pay the extra fee charged by the airline.
Therefore, using a luggage scale is the most accurate and appropriate method for travelers like Barton to measure their suitcase weight before boarding their flight.
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Answer:
use a standard digital bathroom scale.
Step-by-step explanation:
tell whether the sequence is arithmetic if it is what is the common difference -15, -9, -3, 3, . . .
Answer:
Step-by-step explanation:
this is an arithmetic sequence and the common difference is +6
Find the value of the variable x. If your answer is not an integer, write it in simplest radical form with
the denominator rationalized.
Answer:}}
ok so it has to be between 30 or 90 {9
Step-by-step explanation:
helpppppp adappppppppppp
Answer:
MEAN = 14 (AS PER ESTIMATION)
MEDIAN = 17
Step-by-step explanation:
Mean=Sum of terms/No.of terms
Then,
→13+16+14+17+17+8+16/ = 101/7 = 14.428571....…
Given, there is a chance to estimate,Thus, The mean is 14 as per estimation.And.....Median = The middle number
= 17
ThankYou(1 point) A phone-in poll conducted by a newspaper reported that 72% of those who called in liked ''real TV''. (a) The number 72% is a A. population. B. sample. C. parameter. D. statistic. (b) The unknown true percentage of American citizens who like ''real TV'' is a A. sample. B. statistic. C. parameter. D. population.\
(a) The number 72% is a D. statistic.
(b) The unknown true percentage of American citizens who like ''real TV'' is a C. parameter.
How to know about the state of the number 72%?It is related to statistics and parameters.
(a) The number 72% is a statistic because it represents a summary measure of the sample of individuals who participated in the phone-in poll.
A statistic is a numerical value calculated from a sample of data, and it is used to make inferences about the population from which the sample was drawn.
How to know about the unknown true percentage of American citizens who like ''real TV''?(b) The unknown true percentage of American citizens who like ''real TV'' is a parameter.
A parameter is a numerical characteristic of a population, such as a mean, proportion, or standard deviation, and it is typically unknown and estimated from sample data.
In this case, the percentage of all American citizens who like ''real TV'' is unknown and cannot be directly observed, so it is considered a parameter.
The phone-in poll only represents a sample of individuals who called in to the newspaper and cannot be used to estimate the parameter for the entire population.
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What is the percent of increase from 25 to 50?
Answer: 100% increase
Step-by-step explanation:
The authors of the paper "Myeloma in Patients Younger than Age 50 Years Presents with More Favorable Features and Shows Better Survival" (Blood [2008]: 4039–4047) studied patients who had been diagnosed with stage 2 multiple myeloma prior to the age of 50. For each patient who received high dose chemotherapy, the number of years that the patient lived after the therapy (survival time) was recorded. The cumulative relative frequencies in the accompanying table were approximated from survival graphs that appeared in the paper.
Years Survived | Cumulative Relative Frequency
0 to <2 .10
2 to <4 .52
4 to <6 .54
6 to <8 .64
8 to <10 .68
10 to <12 .70
12 to <14 .72
14 to <16 1.00
a. Use the given information to construct a cumulative relative frequency plot.
b. Use the cumulative relative frequency plot from Part (a) to answer the following questions:
i. What is the approximate proportion of patients who lived fewer than 5 years after treatment?
ii. What is the approximate proportion of patients who lived fewer than 7.5 years after treatment? iii. What is the approximate proportion of patients who lived more than 10 years after treatment?
a. The cumulative relative frequency plot can be constructed by plotting the cumulative relative frequency on the y-axis and the years survived on the x-axis.
The plot will consist of step functions connecting the data points. The plot for the given data is as follows:
Years Survived: | Cumulative Relative Frequency:
0 to <2 | 0.10
2 to <4 | 0.52
4 to <6 | 0.54
6 to <8 | 0.64
8 to <10 | 0.68
10 to <12 | 0.70
12 to <14 | 0.72
14 to <16 | 1.00
b. Using the cumulative relative frequency plot:
i. The approximate proportion of patients who lived fewer than 5 years after treatment can be determined by looking at the cumulative relative frequency at the interval 0 to <4. The cumulative relative frequency at the end of this interval is 0.54. Therefore, approximately 54% of patients lived fewer than 5 years after treatment.
ii. The approximate proportion of patients who lived fewer than 7.5 years after treatment can be determined by looking at the cumulative relative frequency at the interval 0 to <8. The cumulative relative frequency at the end of this interval is 0.68. Therefore, approximately 68% of patients lived fewer than 7.5 years after treatment.
iii. The approximate proportion of patients who lived more than 10 years after treatment can be determined by subtracting the cumulative relative frequency at the interval 10 to <12 (0.70) from 1. Since the cumulative relative frequency at 10 to <12 represents the proportion of patients who lived up to 10 years, subtracting it from 1 gives us the proportion of patients who lived more than 10 years. Therefore, approximately 30% of patients lived more than 10 years after treatment.
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A post office has 2 clerks. Alice enters the post office while 2 other customers, Bob and Claire, are being served by the 2 clerks. She is next in line. Suppose a clerk’s serving time for any customer follows an exponential distribution with parameter λ independently. Customers will be served once any of the clerks are available.
What is the probability that Bob the last customer to leave the post office?
The probability that Bob is the last customer to leave the post office comes out as (1 - e^(-λx))^2. The probability that Bob is the last customer to leave the post office can be calculated using the exponential distribution formula.
The exponential distribution is a continuous probability distribution used to model the time between events in a Poisson process. The formula for the exponential distribution is: P(X=x) = λe^(-λx)
Where X is the random variable representing the time between events, λ is the rate parameter, and e is the base of the natural logarithm.
P(Bob is the last customer to leave) = P(Bob's serving time > Alice's serving time) * P(Bob's serving time > Claire's serving time). Since the serving times follow an exponential distribution with parameter λ, we can use the formula to calculate the probabilities:
P(Bob's serving time > Alice's serving time) = ∫_0^∞ λe^(-λx) dx = 1 - e^(-λx)
P(Bob's serving time > Claire's serving time) = ∫_0^∞ λe^(-λx) dx = 1 - e^(-λx)
P(Bob is the last customer to leave) = (1 - e^(-λx))^2
Therefore, the probability that Bob is the last customer to leave the post office is (1 - e^(-λx))^2.
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Answer asap please in circle k with the measure of arc jl = 82 degrees find m angle jkl .
The without knowing the radius or diameter of circle K, we cannot determine the measure of angle JKL.
What is the probability of rolling a sum of 7 with two fair six-sided dice?To find the measure of angle JKL in circle K, we need to use the relationship between the measure of an arc and the measure of its corresponding central angle.
In a circle, the measure of an arc is proportional to the measure of its corresponding central angle.
The ratio between the measure of an arc and the measure of its corresponding central angle is equal to the ratio between the circumference of the circle and the total degrees in a circle, which is 360 degrees.
Let's denote the measure of angle JKL as x. Since the measure of arc JL is given as 82 degrees, we can set up the following proportion:
x degrees / 82 degrees = 360 degrees / total circumference
To solve for x, we need to determine the total circumference of circle K. If the radius or diameter of the circle is given, we can calculate the circumference using the formula C = 2πr or C = πd, respectively.
Without additional information about circle K, it is not possible to calculate the total circumference or determine the measure of angle JKL accurately.
To find the measure of angle JKL in circle K, we need to use the relationship between the measure of an arc and the measure of its corresponding central angle.
In a circle, the measure of an arc is proportional to the measure of its corresponding central angle.
The ratio between the measure of an arc and the measure of its corresponding central angle is equal to the ratio between the circumference of the circle and the total degrees in a circle, which is 360 degrees.
Let's denote the measure of angle JKL as x. Since the measure of arc JL is given as 82 degrees, we can set up the following proportion:
x degrees / 82 degrees = 360 degrees / total circumference
To solve for x, we need to determine the total circumference of circle K. If the radius or diameter of the circle is given, we can calculate the circumference using the formula C = 2πr or C = πd, respectively.
Without additional information about circle K, it is not possible to calculate the total circumference or determine the measure of angle JKL accurately.
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23. selecting balls from an urn contains balls numbered 1 through 9. suppose that you draw a ball from the urn, observe its number, replace the ball, draw a ball again and observe its number. give an example of an outcome of the experiment. how large is the sample space?
The sample output can be (3,4).
There are 81 possible outcomes in the sample space.
(a) Let's say we randomly select a ball from the urn and find that it has the number x (1≤ x ≤9). The ball is put back in the urn when we replace it. Next time, when the ball is drawn, let y (1≤ y ≤9) be the number that is visible on it. The results of such an experiment can generally be represented as:
{(x, y)| 1≤ x ≤9,1≤ y ≤9} Where, x and y are the integers.
The sample output can be (3,4).
(b) The total number of possible outcomes for an experiment is referred to as its sample space. In this experiment, a ball is picked up at random, replaced, and then a new ball is picked. As previously noted, the experiment's overall result is:
{(x, y)| 1≤ x ≤9,1≤ y ≤9}
Consequently, the product of the values that x and y can take gives the total number of outcomes. That is,
Sample size = Range of x * Range of y = 9*9 = 81
Therefore the there are 81 possible outcomes in the sample space.
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Please help!!!! Will Brainlist 30 points!!!
Answer:
135 degrees
Step-by-step explanation:
Answer:
It's C) 135
Step-by-step explanation:
You do 180-45 to get your answer. With questions like these or ones ab triangles the whole would be 180 and you add or subtract to get your answers
Use the properties of 30-60-90 and 45-45-90 triangles to solve for x in each of the problems below. Then decode the secret message by matching the answer with the corresponding letter/symbol from the exercises.
With the help of trigonometric function, the above problems have been calculated. See explanation below.
What are Trigonometric functions?The term "trigonometric function" refers to functions that are periodic in nature and that shed light on how a right-angled triangle's angles and sides relate to one another.
The solutions to x in the respective problems is given as follows:
1) x = 5 /Sin(30°)
x = 10
!) Sin(45°) = 4/x
x = 4/sin(45°)
x = 4√2
I) Cos(45°) = √3 / x
x = √3 / Cos(45°)
x = √6
E) Tan(60°)
= (3√3) / x
x = (3√3) / 3
W) In trigonometry, every right-triangle that is isosceles in nature, the angle made by the legs and the hypotenuse will always equal 45°.
x = 45°
N) x² + x² = (7√2)²
x = 7
V) Tan(60°) = 7 / x
x = 7√3/3
K) x² + x² = (9)²
x = 9/√2
Y) Sin(60°) = 7√3/x
x = 14
M) Sin(30°) = x/11
x = 11/2
T) Sin(45°) = x/√10
x = √5
A) x + 2x + 90° = 180°
x = 30°
O) Sin(45°) = √2 / x
x = 2
R) Tan(30°) = x / 4
x = 4/√3
= 4√3 / 3
S) Sin(60°) = x / (10/3)
x = (5√3) / 3
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Order the following numbers from least to greatest...
Answer:
-25/3,\(\sqrt{x} 15\),-pi/2,3pi
Step-by-step explanation:
Please explain all the steps you used to get the answer.
The complete compound inequality is 9 <= 1.5x <= 12
How to complete the compound inequality?From the given figure, we have'
Height = x
Base = 3
The area of a triangle is
Area = 0.5 * Base * Height
So, we have
A = 0.5 * 3 * x
Evaluate
A = 1.5x
The compound inequality is given as
9 <= A <= 12
Substitute A = 1.5x in 9 <= A <= 12
9 <= 1.5x <= 12
Hence, the complete compound inequality is 9 <= 1.5x <= 12
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Find the annual interest rate.
I=$36, p=$800, t=6 months
Answer:
I think its $172800 bc I = PRT so I multiplied 36x 800 x 6 which is 172800
If my answer is wrong pls let me know and that I am very very very sorry :(
Step-by-step explanation:
1) When determining the mathematics content and learning goals for a lesson, the teacher should do all of the following EXCEPT:
A) Consult his or her state's curriculum standards.
B) Ask, "What is it my students should be able to do at the end of this lesson?"
C) Plan goals that will take no longer than a day for students to accomplish.
D) Be sure to focus on the mathematics, rather than just the activity.
1) Number sense, arithmetic operations, algebra, geometry, data analysis, and probability are some of the topics that are commonly covered in math classes.
The need of developing problem-solving and procedural fluency skills is underlined. To ensure they have a solid basis for future learning, students may also receive training on arithmetic concepts they missed in earlier grades.
2) The use of real-world issues, direct education, cooperative learning, and the use of technology to aid learning are some particular methods of mathematical instruction that are encouraged.
Additionally, emphasis is placed on encouraging a growth mentality and a positive attitude toward mathematics.
3) Direct instruction, visual aids like graphs and diagrams, manipulatives and hands-on activities, scaffolding, and systematic review and practice are some specific techniques used to teach fundamental mathematical instruction.
In order to promote critical thinking and the growth of students' problem-solving abilities, teachers may also employ questioning strategies.
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Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. A. C. B. D. Please select the best answer from the choices provided a b c d.
The reduced row-echelon form of the augmented matrix for the system of equations is: 1 0 0 1 | 8, 0 1 0 -2 | -2, 0 0 1 0 | 0. This means that the first equation is reduced to x_1 + x_4 = 8, the second equation is reduced to x_2 - 2x_4 = -2, and the third equation is reduced to x_3 = 0.
Step 1: Subtract 2 times row 1 from row 2 to get row 2 in the form [0 1 0 -2 | -2].
Step 2: Divide row 2 by -2 to get row 2 in the form [0 1 0 1 | 8].
Step 3: Subtract 3 times row 2 from row 1 to get row 1 in the form [1 0 0 1 | 8].
Step 4: Subtract 4 times row 2 from row 3 to get row 3 in the form [0 0 1 0 | 0].
Step 5: The reduced row-echelon form of the augmented matrix for the system of equations is now: [1 0 0 1 | 8], [0 1 0 -2 | -2], [0 0 1 0 | 0]. This means that the first equation is reduced to x_1 + x_4 = 8, the second equation is reduced to x_2 - 2x_4 = -2, and the third equation is reduced to x_3 = 0.
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A farmer wants to build a rectangular enclosure. He uses a side of a barn for one side. He has 3000 ft of fencing material. The enclosure is to be partitioned into 3 sections of equal area. Find the dimensions of the largest enclosure the farmer can build.
To find the dimensions of the largest enclosure the farmer can build, we need to use optimization.
Let the length of the barn = L and width of the rectangular enclosure = W
Let's draw the rectangular enclosure as shown below:
From the problem statement, the enclosure is to be partitioned into 3 sections of equal area.
Summary: The farmer can build the largest rectangular enclosure having dimensions 750 feet x 1500 feet using 3000 feet of fencing material. The rectangular enclosure is partitioned into 3 sections of equal area.
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Develop the B&B tree for each of the following problems. For convenience, always select x₁ as the branching variable at node 0. Maximize z = 3x₁ + 2.8% subject to 2x + 5.x₂ = 18 4.x₁ + 2x₂ = 18 X₁, X₂0 and integer
To develop the Branch and Bound (B&B) tree for the given problem, follow these steps:
1. Start with the initial B&B tree, where the root node represents the original problem.
2. Choose \($x_1$\) as the branching variable at node 0. Add two child nodes: one for
\($x_1 \leq \lfloor x_1 \rfloor$ \\(floor of $x_1$) and one for $x_1 \geq \lceil x_1 \rceil$ (ceiling of $x_1$).\)
3. At each node, perform the following steps:
- Solve the relaxed linear programming (LP) problem for the node, ignoring the integer constraints.
- If the LP solution is infeasible or the objective value is lower than the current best solution, prune the node and its subtree.
- If the LP solution is integer, update the current best solution if the objective value is higher.
- If the LP solution is non-integer, choose the fractional variable with the largest absolute difference from its rounded value as the branching variable.
4. Repeat steps 2 and 3 for each unpruned node until all nodes have been processed.
5. The node with the highest objective value among the integer feasible solutions is the optimal solution.
6. Optionally, backtrace through the tree to retrieve the optimal solution variables.
Note: The specific LP problem and its constraints are missing from the given question, so adapt the steps accordingly.
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Sebastian is going to choose the color, pattern, font, and image for the design of a sweatshirt for his dance team. There are 10 colors, 4 patterns, 12 fonts, and 9 images for him to choose from. (The printing company charges a fee to add extra design elements, so he will choose only one of each.)
How many different sweatshirt designs are possible?
10 · 4 · 12 · 9 = 4320
There are 4320 choices
The total number of ways Sebastian can print different sweatshirt designs is given by P = 4,320 ways
What are Permutations?A permutation is an ordered arrangement.
The number of ordered arrangements of r objects taken from n unlike objects is:
Permutation ⁿPr = n! / ( n - r )!
Given data ,
Let the number of ways Sebastian can print different sweatshirt designs be represented as P
And , the permutation will be
Now , the number of colors = 10 colors
The number of patterns = 4 patterns
The number of fonts = 12 fonts
The number of images = 9 images
So , number of ways Sebastian can print different sweatshirt designs P is
P = 10 x 4 x 12 x 9
P = 4,320 ways
Hence , the number of ways is 4,320 ways
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Given the km represents an angle bisector, find the value of x.
In ΔJKL using the angle bisector theorem the value for x is obatined as 48.6 units.
What is angle bisector theorem?
The opposite side of a triangle is divided into two pieces by the angle bisector in proportion to the other two sides. If the interior point of a triangle is equally spaced from its two sides, that point will be on the angle bisector of the angle created by the two line segments.
The measurement for line segment JK = 54 units.
The measurement for line segment LK = x units.
The measurement for line segment LM = 36 units.
The measurement for line segment JM = 40 units.
In ΔJKL line segment KM is an angle bisector.
So, according to the angle bisector theorem -
JM / LM = JK / LK
Substitute the values in the equation -
40 / 36 = 54 / x
Simplify to find the value of x -
x = (54 × 36) / 40
x = (27 × 9) / 5
x = 48.6 units
Therefore, the value of x is 48.6 units.
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Exercise 1-9 (Algo) Using the accounting equation LO A1 Determine the missing amount from each of the separate situations given below.
The accounting equation is a fundamental principle in accounting that states that assets equal liabilities plus equity. Using this equation, missing amounts can be determined in various situations.
The accounting equation is expressed as Assets = Liabilities + Equity. It serves as the foundation for double-entry bookkeeping and ensures that the financial statements are balanced. By rearranging the equation, missing amounts can be determined.
For example, if the assets and equity are given, the missing amount of liabilities can be calculated by subtracting equity from assets. Conversely, if the liabilities and equity are known, the missing amount of assets can be calculated by adding liabilities to equity.
Similarly, if the assets and liabilities are provided, the missing amount of equity can be calculated by subtracting liabilities from assets. Alternatively, if the assets and equity are known, the missing amount of liabilities can be calculated by subtracting equity from assets.
In each situation, the missing amount can be determined by applying the accounting equation and rearranging it to solve for the missing variable. This equation provides a framework for ensuring that all financial transactions are properly recorded and that the financial statements accurately reflect the financial position of a business.
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Evaluate 67-28+4+ (). O 52 052 0.20 20 ILL GIVE BRAINLYEST no links or anything please I just need the answer
Answer:
the answer is -52 I did it on a calculator
Which polygons are congruent? please help will give brainiest!
Answer:
2 small squares
Step-by-step explanation:
2 trapeziums
Which graph represents the function f(x) = (2)x + 2?
Answer:
The last graph
Step-by-step explanation:
plsss help find the domain and range please thank you god bless you x
Answer:
Domain : -1 ≤ x ≤ 3Range : 6 ≤ y ≤ 27Step-by-step explanation:
The domain is the set of possible x-values.
The range is the set of possible y-values.
Domain : -1 ≤ x ≤ 3
Range : 6 ≤ y ≤ 27
PLSS HELPP 25 POINTS AND BRAINLIEST
Answer:
144
Step-by-step explanation:
9*3=27
27*4=108
6^2=36
108+36=144
Answer:
\(\Large \boxed{\sf 144 \ ft^2}\)
Step-by-step explanation:
Find the area of the 4 triangles and 1 square and add them.
Area of triangle = base × height × 0.5
Area of square = s²
\((9 \times 6 \times 0.5\times 4)+(6^2)=144\)
IS UVW =XYZ ? IF SO NAME THE POSULATE THAT APPLIES
Answer:
option c
might not be congruent
Step-by-step explanation:
as the triangles that have three pairs of congruent angles i.e. AAA might not have the sides of the same length.
so, AAA is not a congruence rule or congruent postulate