To plot the failure locus and load line, we need specific data points or equations that define them. The failure locus represents the failure criterion or limit for a given material or structure, and the load line represents the applied loads or stresses. Without this information, we cannot plot them accurately.
Once the failure locus and load line are plotted, we can estimate the factor of safety by measuring the distance between the failure locus and the load line at a specific point. The factor of safety is typically calculated as the ratio of the ultimate strength or capacity of a structure to the applied loads. By measuring the distance between the failure locus and the load line, we can determine the margin of safety.
Please provide the necessary data or equations for the failure locus and load line so that we can assist you further in plotting and estimating the factor of safety.
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A penny is dropped from the roof of a building 265 feet above the ground. The height h (in feet) of the penny is a function of the time t (in seconds) and can be represented by the function h(t) = -16t^2 + 256. What does h(4) = 0 mean in regards to the penny?
Answer:
see below
Step-by-step explanation:
h(t) = -16t^2 + 256
h(4) =0
This means at t=4 second the height above the ground is 0
At 4 seconds, the penny will hit the ground
3.3
In order to scale figure F back to figure E, what scale
factor should you use?
2
2
20
Submit and Explain
24
20
Answer:
Scale factor of 1/4, to go from F back to E
Step-by-step explanation:
Scale factor of E to F = 4
Since we are going backwards from F to E, we just multiply it by 1/4, or divide by 4. It is the opposite.
In order to scale figure F back to figure E, scale factor 4 should you use.
What is a scale factor?The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.
A scale factor is a numerical value that is used to represent an object's larger or shrunk shape. It is a number that can be used to alter the size of any geometric figure or shape in relation to its initial size. It aids in altering the figure's size but not its shape.
The scale factor is obtained by the ratio of their sides,
20/5=4
8/2=4
As a result, the scale factor is 4.
Thus, In order to scale figure F back to figure E, scale factor 4 should you used.
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Clients are served in a process with two resources. The first
resource has a capacity of 1.2 clients per minute. The capacity of
the second resource is 1.3 clients per minute. The first resource
has 1
The process involves serving clients using two resources, with the first resource having a capacity of 1.2 clients per minute and the second resource having a capacity of 1.3 clients per minute. Additionally, there is a limitation that only one client can be served by the first resource at a time.
Based on the given information, we can infer that the first resource is a bottleneck in the process because it has a lower capacity compared to the second resource. The capacity of 1.2 clients per minute means that on average, the first resource can serve 1.2 clients in a minute.
Since only one client can be served by the first resource at a time, this means that there will be instances where the first resource is idle while waiting for the second resource to become available. The second resource, with a capacity of 1.3 clients per minute, can potentially serve clients faster than the first resource.
To optimize the process and maximize efficiency, it may be necessary to analyze the workload distribution and consider ways to balance the workload between the two resources. This could involve allocating tasks strategically or identifying ways to improve the efficiency of the bottleneck resource.
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Among all pairs of numbers with a sum of 83, find the pair whose product is maximum. Write your answer as fractions reduced to lowest terms.
The pair of numbers that maximizes the product and has a sum of 83 is (41.5, 41.5), which can be written as the fraction 83/2 in reduced form.
To determine the pair of numbers with a sum of 83 and maximum product, we can use the concept of quadratic equations.
Let the two numbers be x and y, where x + y = 83.
We want to maximize the product xy.
To do this, we can express one variable in terms of the other and then find the maximum value of the product using calculus.
From the equation x + y = 83, we can express y in terms of x as y = 83 - x.
The product of x and y is given by P(x) = x(83 - x).
To determine the maximum value of P(x), we can take the derivative of P(x) with respect to x and set it equal to zero:
P'(x) = 83 - 2x = 0
Solving this equation, we find x = 41.5.
Substituting this value back into the equation x + y = 83, we get y = 41.5.
This can be written in reduced form as the fraction 83/2 .
So, the answer is (83/2, 83/2).
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the area of a square frame is 55 square inches . what is the length of one side of the frame to the nearest tenth of an inch ?
Answer:
7.4
Step-by-step explanation:
If you take 55 and square root it, you will get your answer. This is because to get an area you take the 2 sides and multiply it to get the final answer and the sides are equal because it is a square.
I hope this helps
Reorder the steps of the proof to make sure that steps that are logically dependent on prior steps are in the proper order.
Answer:
Step-by-step explanation:
Correct order to prove BD bisects ∠ABC is,
Statements Reasons
1). AB ≅ BC 1). Given
D is the midpoint of AC
2). AD ≅ DC 2). A midpoint divides a segment into two
congruent segments.
3). BD ≅ BD 3). Reflexive property
4). ΔABD ≅ ΔCBD 4). SSS property
5). ∠ABD ≅ ∠CBD 5). Corresponding parts of congruent
triangles are congruent (CPCTC)
how fast will the radius decreaseing when the toostie roll pop is .75 inches across?
When the Tootsie Roll pop is 0.75 inches across, the radius is half of that, which is 0.375 inches.
The rate at which the radius is decreasing is what we are looking for.
To calculate this, we need to use the chain rule for differentiation.
The volume of the lollipop is given by the formula: V = (4/3)πr³ where V is the volume and r is the radius.
To find the rate of change of volume with respect to time, we differentiate the above expression with respect to time t. So we get: dV/dt = 4πr²(dr/dt)
Now we know that the rate of change of volume is constant and is equal to -20 cubic inches per minute.
We also know that the radius is decreasing at the rate of dr/dt inches per minute.
The radius is given to us as 0.375 inches.
Hence, we can substitute all these values in the above expression to find the value of dr/dt.
Therefore, we get:-20 = 4π(0.375)²(dr/dt)dr/dt
= -20/(4π(0.375)²)
= -1.13 inches per minute
Hence, the radius is decreasing at a rate of 1.13 inches per minute when the Tootsie Roll pop is 0.75 inches across.
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Someone help me with this, The form for this problem says I’m wrong about the Domain
{(-3,-2),(-1,0),(0,1),(3,4,),(6,7)}
Domain: {(-3,-1,0,3,6,)}
I’m sure I’m correct but I wanna make sure
You are right about the domain.
what is the measure of x?
60 degrees
70 degrees
100 degrees
80 degrees
Answer:
x = 60°
Step-by-step explanation:
x + 20 = 80 ( alternate angles )
Subtract 20 from both sides
x = 60°
what is a+c+b+a+b+c+b+c?
Answer:
It's 2a + 3b + 3c :)
Answer:
a²+b³+c³
Step-by-step explanation:
a+a+b+b+b+c+c+c
What are the solutions of the inequality |7x|≥21
[tex]|7x|>21\\7|x|>21\\|x|>3\\x>3 \vee x<-3\\x\in(-\infty,-3)\cup(3,\infty)[/tex]
On a coordinate plane, g (f (x)) is a parabola that opens down. It goes through (negative 3.5, 1), has a vertex at (negative 2.5, 5), and goes through (negative 1.5, 0.5). F (g (x)) is a parabola that opens down. It goes through (negative 1.5, 0.5), has a vertex at (0, 5), and goes through (1.5, 0.5). The compositions f(g(x)) and g(f(x)) of functions f and g are shown on the graph. Which statements describe the compositions? Check all that apply. f(g(x)) = g(f(x)) for at least one value of x. The composition of f and g is commutative. f(g(0)) = 5 and g(f(–2.5)) = 5. Both f(g(x)) and g(f(x)) have the same domain. The graphs show that function composition is not commutative.
ANSWER
1,3,4,5
The graphs show that Function composition is not commutative. This is observed from the graph of the compositions f(g(x)) and g(f(x)), which are not symmetrical about the y-axis. In other words, the order of function composition matters.
Based on the given information, the correct statements are:
1. f(g(x)) = g(f(x)) for at least one value of x. This means that there is at least one value of x for which the compositions f(g(x)) and g(f(x)) are equal.
3. f(g(0)) = 5 and g(f(–2.5)) = 5. This indicates that when plugging in specific values, f(g(0)) and g(f(–2.5)) both evaluate to 5.
4. Both f(g(x)) and g(f(x)) have the same domain. The domain of a function refers to the set of all possible input values. In this case, both compositions have the same domain.
5. The graphs show that function composition is not commutative. This is observed from the graph of the compositions f(g(x)) and g(f(x)), which are not symmetrical about the y-axis. In other words, the order of function composition matters.
Therefore, the correct answer is: 1, 3, 4, 5.
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What is f(5)?
–8
–1
1
8
Answer:
-8
Step-by-step explanation:
EDGE
Ben made 1/4 bath of brownies in five mins how many minutes did it take to make a batch of brownies
Answer:
The answer is 20 minutes. Trust me, I chose 20 and got it right
what is the correct answer to x-3/6=-4 with steps.
The answer is shown in the picture
Given two linear equations: y=3x+3 and y=-3x-5. Select all or one that apply.
A parallel B perpendicular C both D either SOMEONE PLEASE HELP ME OUT I NEED THIS QUESTION ANSWERED ASAP!!!
Answer:
D
Step-by-step explanation:
We have the two linear equations:
[tex]\text{ Line 1: }y=3x+3[/tex]
[tex]\text{ Line 2: }y=-3x-5[/tex]
And we want to determine the relationship between them.
Let's go through each of the answer choices.
Parallel?
Remember that parallel lines have the same slopes.
The slope of Line 1 is 3, while the slope is Line 2 is -3.
Since they have different slopes, they are not parallel.
Perpendicular?
Perpendicular lines have slopes who are negative reciprocals of each other.
For example, the negative reciprocal of 2 will be -1/2. And the negative reciprocal of -1/2 is 2.
The slope of Line 1 is 3. The negative reciprocal of 3 is -1/3. This is not the slope of Line 2.
We can do it for Line 2 just to confirm. The slope of Line 2 is -3. The negative reciprocal of -3 is 1/3.
So, because their slopes are not negative reciprocals of each other, the two lines are not congruent.
Both?
No two lines can be both parallel and perpendicular simultaneously, so this is out of the question.
[N]either?
Yes indeed. They lines are neither parallel nor perpendicular, so this is our only choice.
And we're done!
Write a function that has roots of x=-4,-1, 2, 2, 2, 2, and 6.
Please I need help
9514 1404 393
Answer:
f(x) = (x +4)(x +1)(x -6)(x -2)^4
Step-by-step explanation:
Each root p will contribute a factor of (x -p) to the function. Repeated factors can be written using an exponent.
f(x) = (x +4)(x +1)(x -6)(x -2)^4
Plzz help will give Brainlest!!
4x-3=12x+2 Equations with variables on both sides.
Answer:
4x - 3 = 12x + 2
So,
-5 = 8x
x = -5/8 :)
Emily draws figures P, Q, R, and S. The center of dilation is point Z. Which figures are similar to figure Q? Explain your reasoning
WELP PLZ HELP ME
Answer:
Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides.
The figures P, R, and S are similar to figure Q because the similar figures have the same shape but not the same size.
What is the similarity law for triangles?It is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
It is given that:
Emily draws figures P, Q, R, and S. The center of dilation is point Z.
It is claimed that two figures are comparable if they share the same shape. The ratios of the lengths of the corresponding sides are equal when the two figures are comparable.
The similar figures P, R, and S are comparable to figure Q since they share the same shape but differ in size.
Thus, the figures P, R, and S are similar to figure Q because the similar figures have the same shape but not the same size.
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[ 7 11] [12 4 5 ]
Find C =AB, if A = [2 9] B = [3 6 1]
[ 10 6]
The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.
Let's calculate the matrix product C = AB step by step:
Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.
In this case, both matrices satisfy this condition, so the product C = AB is defined.
Calculating AB:
AB = [23 + 912 26 + 94 21 + 95]
[103 + 612 106 + 64 101 + 65]
Simplifying the calculations:
AB = [6 + 108 12 + 36 2 + 45]
[30 + 72 60 + 24 10 + 30]
AB = [114 48 47]
[102 84 40]
Therefore, the product C = AB is:
C = [114 48 47]
[102 84 40]
In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:
C = [114 48 47]
[102 84 40]
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6=m-7. solve using addition or subtraction
8
Step-by-step explanation:
m=13 because you add the 7 to the 6 and then divide it too m
Answer:
6+7=m
13=m
m=13
Step-by-step explanation:
1. Add 7 to both sides
2. simplify 6+7 to 13
3. switch sides
Combine like terms
-y + 9z - 16y - 25z
Answer: -17y-16z
Step-by-step explanation:
Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. |7.3|6.8|10.7|7.3|7.7|7.4|7.7
11.6 8.9 9.7 7.9 7.9 7.2 6.3
6.5 11.3 8.7 6.8 6.3 9.7 7.0
9.0 11.8 7.0 7.8 5.2 8.1 A). Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion.
B). Calculate a point estimate of the strength value that separates the weakest 50% of all such beams from the strongest 50%.
C). Calculate a point estimate of the population standard deviation?
D). Calculate a point estimate of the proportion of all such beams whose flexural strength exceeds 10 MPa.
E). Calculate a point estimate of the population coefficient of variation.
A. Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion.
The mean value of strength for the conceptual population of all beams manufactured in this fashion is 7.92 MPa. This is calculated by adding up the strength values for all 20 beams and dividing by 20.
B. Calculate a point estimate of the strength value that separates the weakest 50% of all such beams from the strongest 50%.
The strength value that separates the weakest 50% of all such beams from the strongest 50% is 7.5 MPa. This is calculated by finding the median of the strength values.
C. Calculate a point estimate of the population standard deviation
The population standard deviation is 1.43 MPa. This is calculated by using the following formula:
σ = SQRT[(Σ(x - μ)^2) / N]
where:
σ is the population standard deviation
x is the individual strength value
μ is the mean strength value
N is the number of beams
D. Calculate a point estimate of the proportion of all such beams whose flexural strength exceeds 10 MPa.
The proportion of all such beams whose flexural strength exceeds 10 MPa is 0.45. This is calculated by counting the number of beams with a strength value greater than 10 MPa and dividing by the total number of beams.
E. Calculate a point estimate of the population coefficient of variation.
The population coefficient of variation is 0.18. This is calculated by dividing the population standard deviation by the mean strength value.
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What is the degree measure of z?.
Answer:
z = 68
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the opposite internal angles
z = 39+29
z = 68
Using proper notation, which of the following represents the length of the line
segment?
The proper notation for the line segment is option A.
How to name a line segment?A line segment is bounded by two distinct points on a line.
In other words, a line segment is a section of a line bounded by two points or connecting two points.
Therefore, the proper notation that represent the length of the line segment can be represented as follows:
The line length is 4 units and the length is DE.
Hence, the line segment is named as DE = 4. The answer is option A.
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What is the value of x2+3x-7 when x = -4?
Answer:
[tex] \huge{ \fbox{ \sf{ - 3}}}[/tex]
Step-by-step explanation:
[tex] \underline{ \text{Given}} : [/tex]
[tex] \longrightarrow{ \sf{ \: x = - 4}}[/tex]
[tex] \underline{ \text{To \: find}} : \: \sf{Value \: of \: the \: given \: expression}[/tex]
[tex] \sf{ {x}^{2} + 3x - 7}[/tex]
[tex] \text{Step \: 1}[/tex] : Plug the value of x
[tex] \sf{ { \mapsto ( - 4)}^{2} + 3 * \: ( - 4) \: - 7}[/tex]
[tex] \text{Step \: 2}[/tex] : Evaluate the power
[tex] \underline{ \text{Remember!}}[/tex] : Multiplying a negative integer by a negative integers gives a positive integer.
[tex] \mapsto{ \sf{16 + 3 \: * \: ( - 4) - 7}}[/tex]
[tex] \text{Step \: 3}[/tex] : Multiply : 3 by -4
[tex] \underline{ \sf{Remember!}}[/tex] : Multiplying positive integer by any negative integer gives a negative integer.
[tex] \mapsto{ \sf{16 + ( - 12) - 7}}[/tex]
[tex] \underline{ \text{Remember!}}[/tex] : ( + ) * ( - ) = ( - )
[tex] \mapsto{ \sf{16 - 12 - 7}}[/tex]
[tex] \text{Step \: 4}[/tex] : Subtract 12 from 16
[tex] \mapsto{ \sf{4 - 7}}[/tex]
[tex] \text{Step \: 5}[/tex] : Subtract 7 from 4
[tex] \underline{ \text{Remember!}}[/tex] : The negative and positive integers are always subtracted but posses the sign of the bigger integer.
[tex] \mapsto{ \boxed{ \sf{ - 3}}}[/tex]
Remember to follow PEMDAS
Parentheses , Exponents , Multiplication , Division , Addition , Subtraction
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
Write the inverse of:
5 (x-2) + 4
Answer:
9x is answer for your question
Step-by-step explanation:
5 (x - 2) + 4
5 x x = 5x5 x 2 = 1010 - 5x = 5x5x + 4 = 9xGiven f(x)=x-7 and h(x)=2x+3 what is the rule for h(f(x))
Answer:
h(f(x)) = 2x - 11
Step-by-step explanation:
To evaluate h(f(x)) substitute x = f(x) into h(x)
h(x - 7)
= 2(x - 7) + 3
= 2x - 14 + 3
= 2x - 11
Question 7 12.5 pts A network consists of the following list. Times are given in weeks Activity Predecessor a m b A 5 11 14 B 8 14 20 C A 6 10 14 D B 3 5 7 E C, D 4 6 11 E 6 8 13 G E 10 18 22 a. What
The given network consists of several activities with their respective durations in weeks. The activities have dependencies on each other, and the goal is to determine the earliest start time (ES), earliest finish time (EF), latest start time (LS), latest finish time (LF), and total float for each activity.
To determine the ES, EF, LS, LF, and total float for each activity, we can use the forward pass and backward pass techniques in network analysis.
Forward Pass:
Start with the initial node, Activity A, and assign its ES as 0 since it has no predecessors.
Calculate the EF for each activity by adding the duration to its ES.
For Activity A, EF = ES + duration = 0 + 5 = 5.
For Activity B, EF = ES + duration = 0 + 8 = 8.
For Activity C, EF = ES + duration = 5 + 6 = 11.
For Activity D, EF = ES + duration = 8 + 3 = 11.
For Activity E, EF = ES + duration = 11 + 6 = 17.
For Activity F, EF = ES + duration = 17 + 6 = 23.
For Activity G, EF = ES + duration = 17 + 10 = 27.
Backward Pass:
Start with the final node, Activity G, and assign its LF as its EF since it has no successors.
Calculate the LS for each activity by subtracting its duration from its LF.
For Activity G, LS = LF - duration = 27 - 10 = 17.
For Activity F, LS = LF - duration = 23 - 6 = 17.
For Activity E, LS = LF - duration = 17 - 6 = 11.
For Activity D, LS = LF - duration = 11 - 3 = 8.
For Activity C, LS = LF - duration = 11 - 6 = 5.
For Activity B, LS = LF - duration = 8 - 8 = 0.
For Activity A, LS = LF - duration = 5 - 5 = 0.
Total Float:
Calculate the total float for each activity by subtracting its EF from its LF.
For Activity A, Total Float = LF - EF = 0 - 5 = -5.
For Activity B, Total Float = LF - EF = 0 - 8 = -8.
For Activity C, Total Float = LF - EF = 5 - 11 = -6.
For Activity D, Total Float = LF - EF = 8 - 11 = -3.
For Activity E, Total Float = LF - EF = 11 - 17 = -6.
For Activity F, Total Float = LF - EF = 17 - 23 = -6.
For Activity G, Total Float = LF - EF = 17 - 27 = -10.
The negative total float values indicate that the activities are on the critical path and any delay in their completion would result in a delay in the project completion time.
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