Answers
Answer: I think it is C
Step-by-step explanation: You are multiplying AB together
I am sorry if you get this wrong I tried
Related Questions
If 24% of 400 people watched the news, how many ppl watched?
Answers
Answer:
96 people
Step-by-step explanation:
24÷100 × 400=96
A piecewise function f (x) is defined by Part A: Graph the piecewise function f (x) and determine the range. (5 points)Part B: Determine the asymptotes of f (x). Show all necessary calculations. (5 points)Part C: Describe the end behavior of f (x). (5 points)
Answers
Answer
• a) Range: (-∞, –1)
• b) Horizontal asymptote when x ≤ 2: y = –3. Vertical asymptote when x > 2: x= 2. Horizontal asymptote when x > 2: y = –1.
,• c) When x decreases, it approaches –3, and when x increases, it approaches –1.
Explanation
• Part A: Graph the piecewise function f (x) and determine the range.
Using a graphing tool we can get the following graph:
As the range is all the y-values included in the function, we can see that in this case, the range is:
\((-\infty,-1)\)• Part B: Determine the asymptotes of f (x). Show all necessary calculations.
We have to get the asymptotes from the part where x ≤ 2 and x > 2.
In x ≤ 2 we do not have a vertical asymptote as it is not a rational function, but we do have a horizontal asymptote, which is y = k when we have the function:
\(y=a(b)^{x-h}+k\)Thus, in our case y = –3.
In x > 2, we do have a vertical and horizontal asymptote. We can get the vertical asymptote by setting the denominator of the function to 0:
\(x^2-5x+6=0\)If we solve the expression by factoring we get two solutions:
\((x-2)(x-3)=0\)\(\begin{gathered} x_1-2=0 \\ x_1=2 \end{gathered}\)\(\begin{gathered} x_2-3=0 \\ x_2=3 \end{gathered}\)Based on our function we can see that the vertical asymptote is x = 2 when x > 2. Then, the horizontal asymptote can be calculated with the limit:
\(\lim_{x\to\infty}(\frac{-x^2+2x+3}{x^2-5x+6})=-1\)Thus, our horizontal asymptote is y = –1 when x > 2.
• Part C: Describe the end behavior of f (x).
The end behavior of a function is how the function acts when x increases or decreases. Based on our graph we can see that when x decreases, it approaches –3, and when x increases, it approaches –1.
how many babies must be randomly selected and tested in order to estimate the rate of jaundice among newborns to within plus or minus 3% with 92% confidence
Answers
To estimate the rate of jaundice among newborns to within plus or minus 3% with 92% confidence, at least 1068 babies must be randomly selected and tested.
To calculate the minimum sample size required to estimate the rate of jaundice among newborns to within plus or minus 3% with 92% confidence, we can use the following formula:
n = [ (z-score)² × p × (1-p) ] / E²
where:
n is the sample size we want to calculate
z-score is the critical value of the standard normal distribution corresponding to the desired confidence level. For 92% confidence, the z-score is 1.75.
p is the estimated proportion of newborns with jaundice. Since we do not have any prior information about this, we can use 0.5 as a conservative estimate.
E is the maximum margin of error, which is 3% or 0.03 in this case.
Substituting these values, we get
n = [ (1.75)² × 0.5 × (1-0.5) ] / (0.03)²
n = 1067.
Rounding up, we get a minimum sample size of 1068
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i need help with this, thanks
Answers
Answer:
151, 29, 151
Step-by-step explanation:
\(m\angle 2=29^{\circ}\) (vertical angles)
\(m\angle 1=m\angle 3=151^{\circ}\) (linear pair)
Answer:
\(m \angle 1= \boxed{151}\;^{\circ}\\\\m \angle 2= \boxed{29}\;^{\circ}\\\\m \angle 3= \boxed{151}\;^{\circ}\)
Step-by-step explanation:
Angles on a straight line sum to 180°.
⇒ m∠3 + m∠4 = 180°
⇒ m∠3 + 29° = 180°
⇒ m∠3 = 151°
Vertical Angle Theorem
When two straight lines intersect, the opposite vertical angles are congruent.
Applying the Vertical Angle Theorem:
m∠2 = m∠4 = 29°m∠1 = m∠3 = 151°Please help me with this it's really important
A 40-question test has 108 possible points. There are m 4-point questions and n 2-point questions. How many of each type of questions are on the test?
Answers
Answer:
There are 14 4-point questions and 26 2-point questions.
Step-by-step explanation:
m = number of 4-point questions
n = number of 2-point questions
m+n =40
4m + 2n =108
You can solve system by elimination:
Multiply the 1st equation by -4 and keep the 2nd equation the same.
−4(m+n=40) → -4m -4n= -160
4m+2n=108 add them up
-2n = -52 divide both sides by -2
n = 26
plug it back in to solve for m
m + n = 40 →m + 26 =40 subtract 26 to both sides
m = 14
Answer:
m=14, n=26
Step-by-step explanation:
More info a. Theoretical capacity-based on three shifts, completion of five motorcycles per shift, and a 360 -day year-3 −3×360=5,400. b. Practical capacity-theoretical capacity adjusted for unavoidable interruptions, breakdowns, and so forth-3 −4×320=3,840. c. Normal capacity utilization-estimated at 3,240 units. d. Master-budget capacity utilization-the strengthening stock market and the growing popularity of motorcycles have prompted the marketing department to issue an estimate for 2020 of 3,600 units. Requirement 2. What are the benefits to Zippy, Inc., of using either theoretical capacity or practical capacity? to managers. As a general rule, however, it is important on the production-volume variance as a measure of the economic costs of unused capacity. Requirement 3. Under a cost-based pricing system, what are the negative aspects of a master-budget denominator level? What are the positive aspects? What are the negative aspects of a master-budget denominator level? referred to as the demand spiral. What are the positive aspects? The positive aspects of the master-budget denominator level are that is based on for the product and indicates the price at which would be recovered to enable the company to make a profit.
Answers
The benefits of using the theoretical capacity for Zippy, Inc. include providing a maximum production potential based on ideal conditions, aiding in long-term planning, and setting performance benchmarks. Practical capacity considers unavoidable interruptions and breakdowns, providing a more realistic estimate. The negative aspect of a master-budget denominator level is the potential for unused capacity costs, while the positive aspect is using a predetermined cost base for pricing decisions.
Theoretical capacity, based on three shifts and completion of five motorcycles per shift, gives Zippy, Inc. a maximum production potential of 5,400 units per year. This capacity measure helps in long-term planning, resource allocation, and setting performance benchmarks. On the other hand, practical capacity takes into account unavoidable interruptions, breakdowns, and other factors that can impact production. It provides a more realistic estimate of 3,840 units.
Regarding cost-based pricing, the negative aspect of a master-budget denominator level is that it may lead to unused capacity costs. If the estimated demand falls below the master-budget level, there could be underutilized resources, resulting in economic costs for the company. However, the positive aspect of using a master-budget denominator level is that it provides a predetermined cost base for pricing decisions. It helps in setting prices that ensure the company's costs are covered and profitability is achieved.
In summary, theoretical capacity aids in long-term planning and setting benchmarks, while practical capacity considers interruptions. The negative aspect of a master-budget denominator level is unused capacity costs, but it provides a predetermined cost base for pricing decisions, ensuring cost recovery and profitability.
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Read the case study on page 326~327 of your textbook. Using the information and data provided in the text answer the following questions:
1. What changes or patterns do you see in the data? What remedies might be suggested for any problems?
2. Has the CEO carried out his or her responsibility for educating the board? Why or why not?
3. Depending on the answer to question 2, what strategies would you recommend at this point?
4. What quality data should be reported and utilized by this board of directors?
5. Given this administration’s style and leadership approach, do you think the minutes of the board meeting reflect actual board meeting discussions?
6. Is the board actually using the information provided to make decisions that affect quality and performance improvement?
Answers
1. If any problems are identified, suggest potential remedies such as process improvements, employee training, quality control measures, or changes in strategy.
2. Consider whether the CEO has effectively communicated the company's goals, performance metrics, challenges, and strategies to the board.
3. If the CEO has fulfilled their responsibility, focus on refining the communication process and ensuring that the board receives timely and relevant information.
4. Emphasize the importance of accurate, timely, and actionable data that enables the board to make informed decisions.
5. Consider whether the minutes provide a clear and objective summary of the discussions and whether they align with the organization's leadership style and approach.
6. Evaluate whether the board's decisions and initiatives align with the organization's goals and objectives for quality and performance improvement.
To identify changes or patterns in the data, carefully analyze the provided data in the case study. Look for trends, variations, or any significant shifts in the data over time. Consider factors such as growth rates, financial performance, customer satisfaction ratings, employee turnover, or any other relevant metrics. If any problems are identified, suggest potential remedies such as process improvements, employee training, quality control measures, or changes in strategy.
Assess whether the CEO has fulfilled their responsibility for educating the board by evaluating the level of knowledge and understanding demonstrated by the board members. Determine if the board members have been provided with sufficient information and resources to make informed decisions. Consider whether the CEO has effectively communicated the company's goals, performance metrics, challenges, and strategies to the board.
Based on the assessment in question 2, recommend appropriate strategies. If the CEO has not adequately educated the board, suggest initiatives such as regular training sessions, workshops, or providing comprehensive reports to enhance their understanding of the business. If the CEO has fulfilled their responsibility, focus on refining the communication process and ensuring that the board receives timely and relevant information.
Determine the key quality-related data that should be reported and utilized by the board of directors. This may include data on customer satisfaction, product quality metrics, employee engagement and satisfaction, financial performance indicators, market share, or any other relevant measures that align with the organization's goals and objectives. Emphasize the importance of accurate, timely, and actionable data that enables the board to make informed decisions.
Evaluate the minutes of the board meetings to assess if they accurately reflect the discussions held during the meetings. Look for comprehensive records of agenda items, decisions made, action items assigned, and any important points or concerns raised by board members. Consider whether the minutes provide a clear and objective summary of the discussions and whether they align with the organization's leadership style and approach.
Assess whether the board is utilizing the information provided to make decisions that impact quality and performance improvement. Look for evidence of the board actively discussing and considering the quality-related data, asking relevant questions, and taking actions based on the information. Evaluate whether the board's decisions and initiatives align with the organization's goals and objectives for quality and performance improvement.
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The first term of an arithmetic sequence is 1, another term of the sequence is 91 and all of the terms of the sequence are integers. How many distinct arithmetic sequences meet these three conditions?
Answers
Answer:
108r4
Step-by-step explanation:
91+16 yea go install senebratic
Answer:
It has been answered and I need some point so I hope you don't mind lol
Step-by-step explanation:
Which digits are missing from this equation?
3. 58 × 100[(3 × 1) + (5 × 0. 1) + (8 × 0. 01)] × 100
= (3 × ) + (5 × ) + (8 × )
= 358
Answers
The digits missing from the equation are 100, 10 and 1 respectively. The solution has been obtained by using the concept of algebraic equation.
What is algebraic equation?
If a mathematical phrase has variables, constants, and algebraic operations, it is said to be "algebraic" (addition, subtraction, etc.). The expression must contain the equals sign and satisfy the algebraic equation.
We are given an expression as
3. 58 × 100[(3 × 1) + (5 × 0. 1) + (8 × 0. 01)] × 100
On multiplying, we get
= (3 × 100) + (5 × 10) + (8 × 1)
= 358
Hence, the digits missing from the equation are 100, 10 and 1 respectively.
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can you help me with this question please?
Answers
Answer:
(1, -3)
Step-by-step explanation:
You can see where the two lines intersect - that's the solution.
the vertex angle of an isosceles triangle measures 36 degrees . what is the measure of its base angle?
Answers
Explanation:
For any triangle, the three angles always add to 180 degrees.
In an isosceles triangle, the base angles are the same measure. For now we don't know what they are, so let's call them x. The vertex angle is 36.
Adding the three angles (x,x, and 36) and setting that equal to 180 will help us find the value of x.
x+x+36 = 180
2x+36 = 180
2x+36-36 = 180-36 .... subtract 36 from both sides
2x = 144
2x/2 = 144/2 .... divide both sides by 2
x = 72
This triangle has two base angles of 72 each and the vertex angle of 36. As a check, the three angles should add up to 180
72+72+36 = 144+36 = 180
So the answer is confirmed.
Answer: Both of the other angles equal 72 degrees individually.
Step-by-step explanation:
The measure of each of the other angles could be 72 degrees because isosceles triangles have two sides that have the same equivalence. Since a line has 180 degrees and its vertex angle measures 36 degrees, then the remaining angles have to be found by subtracting 180 with 36 in order to get 144. 144 divided by 2 because of the two angles then makes both sides equal to 72 degrees individually.
The box plots shown represent two data sets. Use the box plots to compare the data sets.
Drag each value to show if it is the same for both data sets, different for each data set, or if there is not enough information to tell.
Answers
Answer:
0
Step-by-step explanation:
Find the values of x for which the series converges. Find the sum of the series for those values of x.
(x+3)n/2n
Answers
To find the values of x for which the series converges, we can use the Ratio Test. The Ratio Test states that if the limit of the ratio of consecutive terms of a series is less than 1, then the series converges. In this case, we have the series (x+3)n/2n.
Let's apply the Ratio Test:
lim (n→∞) |[(x+3)n+1/2n+1]/[(x+3)n/2n]|
= lim (n→∞) |(x+3)(2n)/(2n+1)(x+3)n|
= lim (n→∞) |2n/(2n+1)|
= 1
Since the limit is equal to 1, the Ratio Test is inconclusive. Therefore, we need to use another test to determine the values of x for which the series converges. Let's use the Root Test. The Root Test states that if the limit of the nth root of the absolute value of the nth term of a series is less than 1, then the series converges. In this case, we have the series (x+3)n/2n. Let's apply the Root Test:
lim (n→∞) |[(x+3)n/2n]1/n|
= lim (n→∞) |(x+3)/21/n|
= |x+3|/1
= |x+3|
For the series to converge, |x+3| < 1. This gives us the inequality:
-1 < x+3 < 1
Solving for x, we get:
-4 < x < -2
Therefore, the series converges for -4 < x < -2.
To find the sum of the series for those values of x, we can use the formula for the sum of an infinite geometric series:
S = a1/(1-r)
Where a1 is the first term of the series and r is the common ratio. In this case, a1 = (x+3)/2 and r = (x+3)/2. Plugging these values into the formula, we get:
S = (x+3)/2/(1-(x+3)/2)
Simplifying, we get:
S = (x+3)/(2-2x-6)
S = (x+3)/(-2x-4)
Therefore, the sum of the series for -4 < x < -2 is (x+3)/(-2x-4).
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can somebody help me understand imaginary numbers???how do I simplify \( {i}^{13} \)how do I solve \( \sqrt{ - 49} \)
Answers
------------------------------------------------------------------------------------------------
\(\begin{gathered} \sqrt[]{-49} \\ \text{Use this property:} \\ \sqrt[]{a\cdot b}=\sqrt[]{a}\cdot\sqrt[]{b} \\ So\colon \\ \sqrt[]{-49}=\sqrt[]{49\cdot(-1)}=\sqrt[]{49}\cdot\sqrt[]{-1} \\ \text{Where:} \\ \sqrt[]{49}=7 \\ \sqrt[]{-1}=i \\ so\colon \\ \sqrt[]{49}\cdot\sqrt[]{-1}=7i \end{gathered}\)Which of the following is equivalent to 4x-3y=15
A.4/3x-5
B.-4/3x+5
C.4/3x+15
D.3/4x-5
Answers
Answer:
the answer is A
Step-by-step explanation:
A = 4/3x-5
Answer:
Step-by-step explanation:
B
Help me write a simplified expression for the perimeter of a square, please.
Answers
Answer:
12x² - 40
Step-by-step explanation:
The perimeter of a two-dimensional shape is the distance all the way around the outside.
As a square has four sides of equal length, the perimeter of a square is four times the length of one side.
\(\begin{aligned}\textsf{Perimeter}&=4(3x^2-10)\\&=4 \cdot 3x^2+4 \cdot (-10)\\&=12x^2-40\end{aligned}\)
Answer:
Perimeter of square = 12x² - 40
Step-by-step explanation:
Perimeter of square formula,
→ P = 4 × Side
→ [ P = 4a ]
Now the perimeter of square is,
→ P = 4 × (3x² - 10)
→ P = 4(3x²) - 4(10)
→ P = (4 × 3)x² - 40
→ [ P = 12x² - 40 ]
Hence, perimeter is 12x² - 40.
A lorry weighs 3.2 tonnes when empty. It weighed 7.7 tonnes when loaded with 90 kg bags of maize. How many bags of maize were loaded?
Answers
The number of bags of maize loaded is A = 50 bags
Given data ,
A lorry weighs 3.2 tonnes when empty. It weighed 7.7 tonnes when loaded with 90 kg bags of maize.
To find the number of bags of maize loaded onto the lorry, we need to calculate the difference in weight between the loaded and empty states, and then convert that difference into the weight of the bags.
The weight of the lorry when loaded with bags of maize is 7.7 tonnes, and when empty, it weighs 3.2 tonnes. Therefore, the weight of the bags of maize is:
7.7 tonnes - 3.2 tonnes = 4.5 tonnes
On simplifying the equation , we get
Number of bags = (Weight of maize) / (Weight per bag)
= 4.5 tonnes / 0.09 tonnes
= 50 bags
Hence , there were 50 bags of maize loaded onto the lorry
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What is the mathematical model of an AST for a BL statement?
Answers
The mathematical model of an abstract syntax tree (AST) for a programming language's block (BL) statement typically involves representing the syntax of the statement using a tree structure.
This tree structure consists of nodes that correspond to different components of the statement, such as keywords, variables, operators, and expressions. The AST provides a way to parse and interpret the syntax of the statement, allowing for efficient compilation and execution of the code.
The model can be represented using various algorithms and data structures, such as recursive descent parsing or top-down parsing. Ultimately, the AST serves as a tool for developers to analyze, optimize, and debug their code, and is an essential component of many modern programming languages.
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use calculus to find the area a of the triangle with the given vertices. (0, 0), (6, 1), (3, 7) a =
Answers
The area of the triangle is approximately 36.83 square units.
To find the area of a triangle using calculus, we can use the formula:
A = (1/2) ∫(x2 - x1)dy
Where x1 and x2 are the x-coordinates of the vertices, and dy is the change in the y-coordinate.
First, we need to find the equations of the lines that make up the sides of the triangle. The line between (0,0) and (6,1) has the equation y = (1/6)x. The line between (6,1) and (3,7) has the equation y = -2x + 13. The line between (3,7) and (0,0) has the equation y = (7/3)x.
Now we can use the formula to find the area of the triangle. We'll integrate from y = 0 to y = 1 for the first side, from y = 1 to y = 7 for the second side, and from y = 7 to y = 0 for the third side:
A = (1/2) ∫(x2 - x1)dy
= (1/2) ∫[(6x - 0) - (0 - 0)]dy from y = 0 to y = 1
+ (1/2) ∫[(13 - 2x) - (6x - 0)]dy from y = 1 to y = 7
+ (1/2) ∫[(0 - 0) - (7x/3 - 0)]dy from y = 7 to y = 0
= (1/2) ∫6xdy from y = 0 to y = 1
+ (1/2) ∫(13 - 8x)dy from y = 1 to y = 7
+ (1/2) ∫(-7x/3)dy from y = 7 to y = 0
= (1/2) [(3 - 0) + (49 - 8) + (-49/3 - 0)]
= (1/2) [(3) + (41) + (-49/3)]
= (1/2) [(147/3) + (123/3) + (-49/3)]
= (1/2) [(221/3)]
= 36.83
So the area of the triangle is approximately 36.83 square units.
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Please help, I do not want any links. What is the value of 7x - 2x + 3, when x = 5?
28
48
39
24
Answers
Answer:
28
Step-by-step explanation:
hope this helped
Two samples, one of size 28 and the second of size 27, are selected to test the difference between two independent population means. How many degrees of freedom are used to find the critical value
Answers
To test the difference between two independent population means with two samples, you need to calculate the degrees of freedom (df). Here's a step-by-step explanation:
1. Identify the sample sizes: The first sample has a size of 28 (n1 = 28), and the second sample has a size of 27 (n2 = 27).
2. Calculate the degrees of freedom for each sample: For each sample, subtract 1 from the sample size. For sample 1, df1 = n1 - 1 = 28 - 1 = 27. For sample 2, df2 = n2 - 1 = 27 - 1 = 26.
3. Combine the degrees of freedom: Add the degrees of freedom from each sample together to get the total degrees of freedom: df = df1 + df2 = 27 + 26 = 53.
In this case, you will use 53 degrees of freedom to find the critical value for testing the difference between the two independent population means.
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PLESE HELPPP!!!!!!!!! m
Answers
Answer:
what are we solving?
Step-by-step explanation:
True or False? suppose bx and dx both contain positive integers. if adding them produces a negative result, the overflow flag will be set.
Answers
True.
If adding two positive integers results in a negative number, it means that an overflow has occurred. The overflow flag is set when the result of an operation is too large to be represented with the given number of bits.
If bx and dx both contain positive integers and adding them produces a negative result, the overflow flag will be set. This is because when two positive integers are added, the result should also be a positive integer. If the result is negative, it means there was an overflow during the addition process, and the overflow flag will be set to indicate this issue.
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Consider the same firm with production function: q=f(L,K) = 20L +25K+5KL-0.03L² -0.02K² Make a diagram of the total product of labour, average product of labour, and marginal product of labour in the short run when K = 5. (It is ok if this diagram is not to scale.) Does this production function demonstrate increasing marginal returns due to specialization when L is low enough? How do you know?
Answers
The MP curve initially rises to its maximum value because of the specialized nature of the fixed capital, where each additional worker's productivity rises due to the marginal product of the fixed capital.
Production Function: q = f(L,K) = 20L + 25K + 5KL - 0.03L² - 0.02K²
Given, K = 5, i.e., capital is fixed. Therefore, the total product of labor, average product of labor, and marginal product of labor are:
TPL = f(L, K = 5) = 20L + 25 × 5 + 5L × 5 - 0.03L² - 0.02(5)²
= 20L + 125 + 25L - 0.03L² - 5
= -0.03L² + 45L + 120
APL = TPL / L, or APL = 20 + 125/L + 5K - 0.03L - 0.02K² / L
= 20 + 25 + 5 × 5 - 0.03L - 0.02(5)² / L
= 50 - 0.03L - 0.5 / L
= 49.5 - 0.03L / L
MP = ∂TPL / ∂L
= 20 + 25 - 0.06L - 0.02K²
= 45 - 0.06L
The following diagram illustrates the TP, MP, and AP curves:
Figure: Total Product (TP), Marginal Product (MP), and Average Product (AP) curves
The production function demonstrates increasing marginal returns due to specialization when L is low enough, i.e., when L ≤ 750. The marginal product curve initially increases and reaches a maximum value of 45 units of output when L = 416.67 units. When L > 416.67, MP decreases, and when L = 750 units, MP becomes zero.
The MP curve's initial increase demonstrates that the production function displays increasing marginal returns due to specialization when L is low enough. This is because when the capital is fixed, an additional unit of labor will benefit from the fixed capital and will increase production more than the previous one.
In other words, Because of the specialised nature of the fixed capital, the MP curve first climbs to its maximum value, where each additional worker's productivity rises due to the marginal product of the fixed capital.
The APL curve initially rises due to the MP curve's increase and then decreases when MP falls because of the diminishing marginal returns.
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True or false
Beginning in the 6th century BC with the Pythagoreans, the Ancient Greeks began a systematic study of mathematics as a subject in its own right with Greek mathematics. Around 300 BC, Euclid introduced the axiomatic method still used in mathematics today, consisting of definition, axiom, theorem, and proof.
Answers
Answer:
im pretty sure its true
Step-by-step explanation:
so sorry if its wrong, hope it helps!
use cylindrical coordinates. evaluate x2 dv, e where e is the solid that lies within the cylinder x2 y2 = 4, above the plane z = 0, and below the cone z2 = 36x2 36y2.
Answers
Using cylindrical coordinates ∫∫∫ (r^3cos^2θ) dz dr dθ, where r ranges from 0 to 2, θ ranges from 0 to 2π, and z ranges from 0 to √(36r^2).
To evaluate the integral ∫∫∫ x^2 dV over the solid e, using cylindrical coordinates, we need to express the integral in terms of cylindrical coordinates and determine the appropriate bounds for the variables.
In cylindrical coordinates, the solid e can be defined as follows:
Radius: r ranges from 0 to 2 (from x^2 + y^2 = 4, taking the square root).
Angle: θ ranges from 0 to 2π (full revolution around the z-axis).
Height: z ranges from 0 to the height of the cone, which is determined by z^2 = 36x^2 + 36y^2.
To convert the integral, we need to express x^2 in terms of cylindrical coordinates:
x^2 = (rcosθ)^2 = r^2cos^2θ
The integral in cylindrical coordinates becomes:
∫∫∫ (r^2cos^2θ) r dz dr dθ
Now we can determine the bounds for the variables:
r ranges from 0 to 2.
θ ranges from 0 to 2π.
z ranges from 0 to the height of the cone, which can be determined by setting z^2 = 36r^2.
Substituting the bounds and integrating, we can evaluate the integral to find the desired result.
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O Personal math Iainer23 4 596 7 810VieFind the sum. You may find using a number line to be helpful. Express your answer as a simplified mixednumber, if necessary.Ste3+1/2VidТехThe result isPrit
Answers
We will find the sum of 3+ 1 1/2 with help of a
At the p.e. class, pupils help each other measure heights. the average height of jeremy and justin is 147 cm. jeremy is 24 cm taller than justin. what is the height of jeremy?
Answers
The height of Jeremy is 159 cm.
What is average?In layman's terms, an average is a single number chosen to represent a set of numbers, typically the sum of the numbers divided by the number of numbers in the set (the arithmetic mean). The average of the numbers 2, 3, 4, 7, and 9 (summed to 25) is 5, for example. An average could be another statistic, such as the median or mode, depending on the context.To find the height of Jeremy:
The formula of average = sum of terms/number of termsLet, Justin, be x and Jeremy be x + 24So,
147 = x + (x+24) / 22x + 24 = 147 × 22x + 24 = 2942x = 294 - 242x = 270x = 135Then, Jeremy = 135 + 24 = 159 cm.
Therefore, the height of Jeremy is 159 cm.
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Which best describes the composition of two functions?
OA. Using the output of the first function as the output of the second
function
B. Using the input of the first function as the output of the second
function
C. Using the output of the first function as the input of the second
function
D. Using the input of the first function as the input of the second
function
Answers
C. Using the output of the first function as the input of the second function
Why it is?
When we compose two functions f and g, the output of the first function f(x) becomes the input of the second function g, so we have g(f(x)). This means that we first apply the function f to x, and then we use the result of that operation as the input to the function g.
For example, if we have f(x) = 2x + 1 and g(x) = x², then the composition of the two functions g(f(x)) is:
g(f(x)) = g(2x + 1)
= (2x + 1)²
= 4x² + 4x + 1
In this example, we first apply the function f(x) = 2x + 1 to x, which gives us 2x + 1 as the output. Then we use this result as the input to the function g(x) = x², which gives us the final output of 4x² + 4x + 1.
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Classify each variable according to the set of numbers that best describes itsvalues.
1.the area of the circleAfound by using the formulaπr2
2.the number n of equal slices in a pizza; the portion p of the pizza in one slice
3. the air temperaturetin Saint Paul, MN, measured to the nearest degreeFahrenheit
4. the last four digitssof a Social Security number
Answers
The variable "area of the circle" would likely be classified as a continuous variable, as it can take on any value within a certain range (e.g. 0 to infinity), and the difference between any two values within that range can be any positive value.
The variable "number of equal slices in a pizza" would likely be classified as a discrete variable, as it can only take on certain integer values (e.g. 1, 2, 3, etc.). Similarly, the variable "portion of the pizza in one slice" would also be classified as a discrete variable, as it can only take on certain values (e.g. 1/2, 1/3, 1/4, etc.).
The variable "air temperature in Saint Paul, MN" would likely be classified as a continuous variable, as it can take on any value within a certain range (e.g. -40 to 120 degrees Fahrenheit), and the difference between any two values within that range can be any positive value.
The variable "last four digits of a Social Security number" would likely be classified as a discrete variable, as it can only take on certain integer values (e.g. 0001 to 9999).
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