The weakest precondition for the assignment statement "x = y * 2" with the postcondition "{ x > 20}" is "y > 10".
The weakest precondition represents the minimum condition that needs to be satisfied before executing a given assignment statement, such that the desired postcondition will hold true after the execution. In this case, the assignment statement is "x = y * 2", and the postcondition is "{ x > 20}".
To determine the weakest precondition, we need to find the minimum condition that guarantees the postcondition. In other words, we need to identify the minimum value or constraint for the variables involved that ensures the resulting value of x will be greater than 20.
In the given scenario, multiplying y by 2 increases its value. To satisfy the postcondition that x should be greater than 20, we need to ensure that the result of the multiplication is greater than 20. Since the minimum value that satisfies this condition is y > 10, it becomes the weakest precondition for the assignment statement.
Therefore, the weakest precondition for the assignment statement "x = y * 2" with the postcondition "{ x > 20}" is "y > 10".
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Subtract (-4x-2)-(13x-1)
Answer: -17x-1
Step-by-step explanation: Hope this help :D
Answer:
-17x-1
Step-by-step explanation:
The graph represents this system of equations. A system of equations. y equals 4. y equals 3 minus StartFraction on-half EndFraction x. A coordinate grid with 2 lines. The first line passes through (negative 2, 4) and (0, 3). The second line passes through (negative 2, 4) and (0, 4). What is the solution to the system of equations?
Answer:
A coordinate grid with 2 lines. The first line passes through (negative 4, negative 3), (0, negative 3), and (4, negative 3). The second line passes through (0, negative 5) and (2, 4). The lines appear to intersect at about one-half, negative 3.
Solve the system of equations algebraically. Verify your answer using the graph.
y = 4x – 5
y = –3
What is the solution to the system of equations?
((StartFraction one-fourth EndFraction, negative 3), –3)
((StartFraction one-half EndFraction, negative 3), –3)
(–3, (negative 3, StartFraction 2 over 3 EndFraction))
Step-by-step explanation:
Answer:
its a
Step-by-step explanation:
i just did it
Find the vertex.
f(x) = 7(x + 15)2
Answer:
(-15,0)
Hope this helps you!
x + 5 < –4
Solve for x.
Answer must be simplified.
Answer:
x < -9
Step-by-step explanation:
Hi there,
To isolate the variable x, you do the same steps like solving a regular equation.
x + 5 < -4 ← subtract 5 from both sides to make x by itself
x < -9 ← final answer (already in simplest form)
Hope this explanation helps. Cheers.
Answer:
9
Step-by-step explanation:
x=-4-5
x=9
I hope i help
What is the length of diagonal RQ?
9.3 in
22 in
18.6 in
11 in
Assuming the entire quadrilateral is a parallelogram, we can say that using the property of diagonals;
The diagonals of a parallelogram bisect each other, meaning that RQ is divided into two equal parts.
If half of RQ is 9.3 then,
RQ=2×9.3=18.6 in
That's your answer RQ=18.6 in
Answer:
the answer is C.18.6
Step-by-step explanation: i took the quiz and got it right
slopeeeee is soo hardddd brehh
Answer:
Its C
Step-by-step explanation:
Answer:
C. 3
Step-by-step explanation:
First I'll solve y + 1 = 3x - 12 for y.
y + 1 = 3x - 12 All you need to do for this first part is subtract 1 from both sides.
y = 3x - 12 - 1
y = 3x - 13
I'll use the point for x being 6, and x being 12.
3(6) - 13
18 - 13
5
y is 5 when x is 6. (6, 5)
3(12) - 13
36 - 12
y is 23 when x is 12. (12, 23)
The formula for slope is y2-y1/x2-x1
(23 - 5)/(12 - 6) Subtract 5 from 13, and then subtract 6 from 12.
18/6 Divide 18 by 6.
3
The slope to the line y + 1 = 3(x - 4) is 3, which is C.
Casey buys a bracelet. She pays for the bracelet and pays $0.72 in sales tax. The sales tax rate is %6, percent.
What is the original price of the bracelet, before tax?
The original price of the bracelet, before tax $0.68
What is the original price of the bracelet, before tax?From the question, we have the following parameters that can be used in our computation:
Amount = $0.72
Sales tax = 6%
Using the above as a guide, we have the following:
Amount = Original amount * (1 + Sales tax)
Substitute the known values in the above equation, so, we have the following representation
0.72 = Original amount * (1.06)
So, we have
Original amount = 0.68
Hence, the original amount = 0.68
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Question Four The Teaching Excellence and Library Department at Botho University carried out a survey to find out the time spent in the library by the university community. A random sample of 200 members was taken and the average time spent in the library was computed to be 30 minutes. From this case, find:
a) the population of interest (2 marks)
b) the sample (2 marks)
c) whether 30 minutes is a parameter or statistic, justify your answer. (2 marks)
MICROECONOMICS
(a)The population of interest is the entire university community at Botho University. (b)The sample is the random sample of 200 members. (c)The average time spent in the library, which is 30 minutes, is a statistic because it is computed from the sample and represents a characteristic of the sample, not the entire population.
a) The population of interest in this case would be the entire university community at Botho University. It includes all members of the university community who could potentially spend time in the library.
b) The sample in this case is the random sample of 200 members that was taken from the university community. It represents a subset of the population of interest and is used to make inferences about the larger population.
c) In this case, 30 minutes is a statistic, not a parameter.
A statistic is a value calculated from a sample that describes some characteristic of the sample. In this case, the average time spent in the library, which is 30 minutes, was computed from the sample of 200 members. It represents the average time spent in the library by the sampled members.
On the other hand, a parameter is a value that describes a characteristic of the population. Since the average time spent in the library is based on the sample and not the entire population, it cannot be considered a parameter.
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Today, Andrew borrowed R200 000 from a bank. The bank charges interest at 5.25%p.a, a compounded quarterly. Andrew will make make payments of R6 000 at the end of 3 months. His first repayment will be made 3 months from now, how long in years will it take for Andrew to settle the loan
In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.
The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.
We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.
Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.
Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000
We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)
Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0
Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.
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Anita Bath orders 4 dozen bottles of Flea-No-More shampoo. Each bottle
cleans 8 dogs. How many dogs is Anita able to clean with this order?
Answer:
384 dog
Step-by-step explanation:
4*12= 48*8 is 384
Choose the set of equations that best represent the following information:
The sum of two numbers, a and b, is 12. The first number, a, is 8 more than the second number.
a+b= 12, a = b+8
a+ a = 12, b-8 = a
a+b = 8, a>b+12
ab = 12, a+8>b
Answer:
a+b= 12, a = b+8
Step-by-step explanation:
We know that a plus b equals 12 a+b=12
The only other thing we know is that a is 8 more than b so a=b+8
30 pts pls awnser all questions i give BRAINLIEST help meee
10; decreases
8: decreases, increases
7: increases, stays the same, increases, stays the same, increases.
9: increases, increases
I hope that this is correct and was able to help
U3U please help me asap U3U
the question is:
How is a system of equations created when each linear function is given as a set of two ordered pairs? Explain.
hate to be that person but what she said
A road sign is in the shape of a square. What is the measure of each angle on the sign? Round to the nearest tenth.
Each angle on a square road sign measures 90 degrees.
A square is a quadrilateral with four equal sides and four right angles. In a square, all angles are congruent, meaning they have the same measure. Since a square has four angles, each angle is equal to the total sum of the interior angles of a square divided by four.
The total sum of the interior angles of a square can be calculated using the formula (n - 2) * 180 degrees, where n is the number of sides. For a square, n = 4, so the total sum of the interior angles is (4 - 2) * 180 = 2 * 180 = 360 degrees.
To find the measure of each angle, we divide the total sum of the interior angles by the number of angles, which is 4 in the case of a square:
360 degrees / 4 angles = 90 degrees.
Therefore, each angle on a square road sign measures 90 degrees.
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A ball is thrown straight up from the top of a 128 foot tall building with an initial speed of 32 feet per second. the height of the ball as a function of time can be modeled by the function below. how long will it take for the ball to hit the ground?
The time it will take for the ball to hit the ground can be found by solving the quadratic equation \(-16t^2 + 32t + 128 = 0\). One of the solutions will represent the time when the ball hits the ground.
The height of the ball as a function of time can be represented by an equation that considers the initial height, initial speed, and the effects of gravity. The equation takes the form of h(t) = \(-16t^2 + v0t + h0\), where h(t) represents the height at time t, v0 is the initial speed, h0 is the initial height, and -16t^2 represents the effect of gravity.
In this case, the initial height of the ball is 128 feet, the initial speed is 32 feet per second, and we want to find the time it takes for the ball to hit the ground (when the height is 0). We can set h(t) = 0 and solve the equation \(-16t^2 + 32t + 128 = 0\) for t.
By solving the quadratic equation, we can find the two possible values for t. One of the values will represent the time when the ball was thrown up, and the other value will represent the time when the ball hits the ground. We discard the negative value and consider the positive value as the time it takes for the ball to hit the ground.
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Answer:
It will take 4 seconds for the ball to hit the ground.
Step-by-step explanation:
Which of the following best describes a square?
A. A square is equilateral.
B. A square is equiangular.
C. A square is equiangular and equilateral.
D. A square is a parallelogram.
Please select the best answer from the choices provided
A
B
C
D
Answer:
C. A square is equiangular and equilateral
calculate the cross product. (7−5)×(4 )= (give your answer using standard basis vectors. express numbers in exact form. use symbolic notation and fractions where needed.)
Using standard basis vectors, the cross product of (7-5) and (4) is (0, 0, 8).
To calculate the cross product of the vectors (7-5) and (4) using standard basis vectors, we can use the formula for the cross product in three-dimensional space:
(a1, a2, a3) × (b1, b2, b3) = (a2b3 - a3b2)i + (a3b1 - a1b3)j + (a1b2 - a2b1)k
In this case, we have (7-5) × (4) = (2) × (4).
Substituting the values into the formula, we get:
(7-5) × (4) = (2 × 0 - 0 × 4)i + (0 × 4 - 2 × 0)j + (2 × 4 - 0 × 0)k
Simplifying the expression, we have:
(7-5) × (4) = (0)i + (0)j + (8)k
Therefore, the cross product of (7-5) and (4) using standard basis vectors is (0, 0, 8).
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Suppose there are two producers in a market with the following supply functions. Supply 1: P=6+0.7Q Supply 2:P=16+0.6Q When the price is [Answer], the total quantity supplied is 250. (In decimal numbers, with two decimal places, please.) Answer:
The price at which the total quantity supplied is 250 is $11.58.
In order to find the price at which the total quantity supplied is 250, we need to equate the total quantity supplied by both producers (Supply 1 and Supply 2) and solve for the price.
Supply 1: P = 6 + 0.7Q
Supply 2: P = 16 + 0.6Q
To find the equilibrium price, we set the total quantity supplied equal to 250:
0.7Q + 0.6Q = 250
1.3Q = 250
Q = 250 / 1.3 ≈ 192.31
Now that we have the quantity, we can substitute it back into either supply function to find the price. Let's use Supply 1:
P = 6 + 0.7Q
P = 6 + 0.7 * 192.31
P ≈ 6 + 134.62
P ≈ 140.62
Therefore, the price at which the total quantity supplied is 250 is approximately $11.58.
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What are the 5 steps to solve a linear equation?.
Answer:
1. Distribute
2. Combine like terms
3. Get all variable on one side and everything else on the other (Inverse operations: Add / subtract)
4. Solve for one of your variables (inverse operation: Multiple / Division
5. Simplify
inscribed angles. finding x
need help with both questions
Check the picture below.
on 8), both angles are inscribed in the circle, and both are intercepting the same arc, thus they must be the same angle value.
on 9), the inscribed angle theorem refers to the angle of the intercepted arc, and the arc gets its angle value from the central angle, on this case, the central angle for the red arc is 64°, so the inscribed angle intercepting it, must be half that.
exercise 1.7.32. a pack contains m cards, labelled 1; 2; : : : ;m. the cards are dealt out in a random order, one by one. given that the label of the kth card dealt is the largest of the rst k cards, what is the probability that it is also the largest in the whole pack?
The probability that the kth card dealt is also the largest in the whole pack is given by the equation: 1/m * 1/(m-1) * 1/(m-2) * ... * 1/(m-(k-1)).
To find the probability that the kth card dealt is also the largest in the whole pack, we need to consider the possible positions of the largest card in the pack.
Let's assume the largest card is labeled 'm'. There are 'm' cards in the pack, and 'm' possible positions for the largest card.
When the first card is dealt, there is a 1/m probability that it is the largest card.
When the second card is dealt, there are two scenarios:
1. The second card is larger than the first card: In this case, there is a 1/(m-1) probability that it is the largest card in the pack.
2. The second card is smaller than the first card: In this case, there is a 0 probability that it is the largest card in the pack.
When the third card is dealt, there are three scenarios:
1. The third card is larger than the first and second cards: In this case, there is a 1/(m-2) probability that it is the largest card in the pack.
2. The third card is larger than the first card but smaller than the second card: In this case, there is a 1/(m-2) probability that it is the largest card in the pack.
3. The third card is smaller than both the first and second cards: In this case, there is a 0 probability that it is the largest card in the pack.
This pattern continues for each subsequent card dealt.
Therefore, the probability that the kth card dealt is also the largest in the whole pack is given by the equation: 1/m * 1/(m-1) * 1/(m-2) * ... * 1/(m-(k-1)).
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Determine the magnitude F and direction θ (measured clockwise from the positive y-axis which is downward in this case) that will cause the resultant R of the four applied forces to be directed to the right with a magnitude of 12.4kN. The asymmetric simple truss is loaded as shown. Determine the reactions at A and D. Neglect the weight of the structure compared with the applied loads. Is the knowledge of the size of the structure necessary?
To obtain precise calculations and solutions, it would be helpful to have the dimensions and geometry of the truss and any other relevant information provided in the problem statement or accompanying diagram.
To determine the magnitude and direction of the force F and the reactions at points A and D in the given loaded truss, we need to analyze the equilibrium of forces. Based on the given information, the resultant force R is directed to the right with a magnitude of 12.4 kN. Here's how we can approach the problem:
Resolve Forces: Resolve the applied forces into their horizontal and vertical components. Let's label the forces as follows:Force at point A: F_A
Force at point B: F_B
Force at point C: F_C
Force at point D: F_D
Equilibrium in the Vertical Direction: Since the truss is in equilibrium, the sum of vertical forces must be zero.
F_A * cos(30°) - F_C = 0 (Vertical equilibrium at point A)
F_B - F_D = 0 (Vertical equilibrium at point D)
Equilibrium in the Horizontal Direction: The sum of horizontal forces must be zero for the truss to be in equilibrium.
F_A * sin(30°) + F_B - F_C * cos(60°) = R (Horizontal equilibrium)
Determine the Reactions: Solving the equations obtained from the equilibrium conditions will allow us to find the values of F_A, F_B, and F_D, which are the reactions at points A and D.
Calculate Force F: Once we know the reactions at A and D, we can calculate the force F using the equation derived from the horizontal equilibrium.
F_A * sin(30°) + F_B - F_C * cos(60°) = R
The size of the structure is necessary to determine the forces accurately. The dimensions and geometry of the truss, along with the loads applied, affect the magnitude and direction of the reactions and the forces within the truss members. Without the size of the structure, it would be challenging to determine the accurate values of the forces and reactions.
To obtain precise calculations and solutions, it would be helpful to have the dimensions and geometry of the truss and any other relevant information provided in the problem statement or accompanying diagram.
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Find the surface area of the figure
Answer:
36 in over 2
Step-by-step explanation:
Thunder from a bolt of lightening travels 1/10 mile in ½ second. At this rate, how many miles can it travel in one second?
Step-by-step explanation:
it could travel 2/10 of a mile in one second because 1/10 ×2 =2/10
Answer:
1/5
Step-by-step explanation:
1/10*2=2/10=1/5
8. a small candle is 34cm from a concave mirror having a radius of curvature of 28cm. a. what is the focal length of the mirror (including the sign)
Therefore, the answer is f = -14 cm.
The formula for the focal length of a concave mirror is f = R/2, where R is the radius of curvature. In this case, R is given as 28 cm, so the focal length is f = 28/2 = 14 cm. However, we need to include the sign to indicate whether the mirror is converging or diverging. For a concave mirror, the focal length is negative, indicating that the mirror is converging. Therefore, the answer is f = -14 cm.
It is worth noting that the distance of the candle from the mirror is not relevant to finding the focal length. This information is only useful if we want to determine the position of the image formed by the mirror.
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How do you Find the value of x.
Answer: 65
Step-by-step explanation: well 115 is 115 on the opposite direction therfore 65 would be 65 on the opposite side also please give brainlest i am only one away from leveling up
Which is an equation in point-slope form for the given point and slope? Point: (5, 9); Slope: 2
• Y- 9 = 2(x- 5) • Y- 5 = 2(x+ 9) • Y+ 9 = 2(x- 5) 0 y- 9 = 2(x+ 5)
\((\stackrel{x_1}{5}~,~\stackrel{y_1}{9})~\hfill \stackrel{slope}{m}\implies 2 ~\hfill \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{2}(x-\stackrel{x_1}{5})\)
what is the probability that the first child selected will be a girl?
The probability that the first child selected will be a girl is 0.5 or 50%.
The probability of a child being a boy or a girl is equal, as long as the parents are healthy and have no genetic conditions that affect the gender of the child. In general, the chance of having a boy or a girl is about 50-50.
However, it is important to understand that each individual birth is a random event and that the probability of having a boy or a girl is calculated over a large number of births.
This means that even though the overall probability of having a boy or a girl is equal, it is possible to have a run of several boys or several girls in a row.
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Solve for x. Enter the solutions from least to greatest. 3x^2-9x-12=0
Lesser x =
Greater x =
I NEED HELP ASAP!!!!!
Answer:
the answer will be..
x=-1
x=4
(x+1) (x-4)
but im sorry i dunno what's lesser and greater means
Suppose Juan places $6000 in an account that pays 12% interest compounded each year.Assume that no withdrawals are made from the account.Follow the instructions below. Do not do any rounding.(a) Find the amount in the account at the end of 1 year.(b) Find the amount in the account at the end of 2 years.su
1) Since this investment has been in an account with 12% compound interest per year, then we can write out the following:
a) Note that there was no withdrawal during this first year.
\(\begin{gathered} F=P(1+\frac{r}{n})^{nt} \\ F=6000(1+\frac{0.12}{1})^{1\cdot1} \\ F=6000(1.12)^1 \\ F=6720 \end{gathered}\)b) To find out the amount of money over a course of this time 2 years, then we can write out the following:
\(\begin{gathered} F=P(1+\frac{r}{n})^{nt} \\ F=6000(1+\frac{0.12}{1})^{1\cdot2} \\ F=7526.4 \end{gathered}\)In this case, it is also compounded per year. Just the period (t) is greater than the other one.
So, we can tell the following about the earnings of this investment:
\(a)\$6720,b)\$7526.40\)