The statement that is true is (LS – ES) >= 0. Option C
How to determine the statementThe latest possible time to begin an activity is denoted as LS in project management, while the earliest possible time is indicated by ES.
The distinction between LS and ES signifies the flexibility an activity possesses, allowing it to be postponed without affecting the ultimate timeframe of the project.
The calculation for Slack involves subtracting the earliest possible finish time (LS) from the latest possible finish time (LF). One must note that (LS - ES) will never be negative as the earliest start time (ES) can never be greater than the latest start time (LS).
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What’s next in the sequence
1/3, 7/15, 3/5, 11/15…
Answer:
The next number in the sequence is 17/15.
Step-by-step explanation:
Given the median, how do you find x on a triangle?
A color printer prints 13 pages in 4 minutes. How many minutes does it take per page
Answer:
3.25 or abot 4
Step-by-step explanation:
divde
Using division, the given color printer will take 0.31 minutes per page.
What is division?Division is separating a group of items into an equal number of smaller groups. It is splitting into equal parts or groups. we use ÷ symbol or the / symbol to mean divide.
Given, a color printer prints 13 pages in 4 minutes.
To calculate the time taken by the printer to print a single page, we need to divide the total time taken by the printer to the total pages printed in that particular time.
Therefore, to print a page, it will take \(\frac{4}{13}\) minutes = \(0.31\) minutes.
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Someone please help and make sure the answer is right :)
Answer:
A - 7
Step-by-step explanation:
These angles are corresponding, meaning they are congruent. Therefore it is simple algebra.
16x - 7 = 105
16x = 112
112/16 = 7
x=7
which is the correct factorization of x^9-y^9?
(x³+y³)(x³-y³) is the complete factorisation of the given expression
Factorising expressionsGiven the expression below as x^9-y^9. We need to completely factorize the given expression as shown:
x^9-y^9 = (x³)² - (y³)²
According to the difference of two square:
a²-b² = (a+b)(a-b)
Applying this rule in question;
x^9-y^9 = (x³)² - (y³)²
x^9-y^9 = (x³+y³)(x³-y³).
Hence the complete factorisation of the expression is (x³+y³)(x³-y³).
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The following statement is an example of: every quiz has been easy, therefore the test will be easy
WRONG QUIZES ARE HARDER THEN THE ACTUALLY TEST
JUST SAYIN G
Answer:
what exacually is the question
Step-by-step explanation:
One acre of Christmas trees produces the daily oxygen requirement for how many people?
Answer: 18
Step-by-step explanation:
Jim is standing outside on a sunny evening at 5:00 pm. Jim's shadow at that time is 2.12 meters long. At the same time, a flagpole near Jim casts a shadow that is 8.95 meters long, If Jim is 1.75 meters tall, how tall is the flagpole in meters? Round your answer to the nearest hundredth.
Answer:
We have that Jim is 6.1 ft tall, and his shadow is 12.4 ft long. If they ask for the shadow of the flagpole having into account that it is 22.4 ft tall, we can solve the problem with a three rule. We have the following relation: height (ft): object/person shadow 6.1 12.4 22.4 x Then we have the equation:
Step-by-step explanation:
At a restaurant, Lana gets a bill that is $40 for the food plus a 5% sales tax. Lana decides to tip 20% on the total bill. How much will Lana pay in total?
Answer:
$50.40
Step-by-step explanation:
To find how much Lana will pay in total follow these steps.
First, multiply 40 by 1.05.
40×1.05=42.
This is how much she will pay for the food plus tax.
Now, multiply 42 by 1.2.
42×1.2=50.40
This is how much she will pay for the food, tax, and tip.
Lana will pay a total of $50.40.
Hope this helps!
x/7 ≥ − 6=============
The range of value of x in the inequality x/7 ≥ -6 is x≥ -42
What is inequality?Inequality, is a statement of an order relationship. Some terms used in inequality are ,greater than, greater than or equal to, less than, or less than or equal to. They are used between two numbers or algebraic expressions.
greater than has the sign >
greater than or equal to has the sign ≥
less than has the sign < and
less than or equal to has ≤
solving the range of value of x in the inequality x/7 ≥- 6
multiply both sides by 7
x ≥ -42
Therefore the range of value of x is x ≥ -42
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question the area of a rectangular computer chip is 112a3b2 square microns. the width is 8ab microns. write a simplified expression for the length.
To find the length of a rectangular computer chip, we can use the formula for the area of a rectangle, which is A = l × w, where A is the area, l is the length, and w is the width. We can rearrange the formula to solve for the length, l, by dividing both sides of the equation by the width, w: l = A / w.
Given that the area of the computer chip is 112a3b2 square microns and the width is 8ab microns, we can plug these values into the formula for the length and simplify:
l = A / w
l = 112a3b2 / 8ab
l = (112 / 8) × (a3 / a) × (b2 / b)
l = 14 × a2 × b
l = 14a2b
Therefore, the simplified expression for the length of the computer chip is 14a2b microns.
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Henry deposited his savings in the neighborhood bank. The bank paid an interest of 8% compounded quarterly. How much had Henry deposited if he received $13,299. 23 after 5 years? Round your answer to the nearest dollar
Henry had deposited approximately $8,000.32 if he received $13,299.23 after 5 years. Rounded to the nearest dollar, the answer is $8,000.To solve this problem, we can use the formula for compound interest:
\($$ A = P \left(1 + \frac{r}{n}\right)^{nt} $$\)
where A is the amount after t years, P is the principal (the amount deposited), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.
In this case, we have:
A = $13,299.23
r = 0.08 (8%)
n = 4 (quarterly compounding)
t = 5 years
We can rearrange the formula to solve for P:
\(P = \frac{A}{(1 + \frac{r}{n})^(nt) }\)
Plugging in the values, we get:
\(P = \frac{ $13,299.23}{(1 + \frac{0.08}{4} ) ^ {(4*5)} }\)
P ≈ $8,000.32
Therefore, Henry had deposited approximately $8,000.32 if he received $13,299.23 after 5 years. Rounded to the nearest dollar, the answer is $8,000.
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what is the greatest number of wristbands that can be made from a rectangular piece of paper that measures 18 centimeters by 85 centimeters? enter your answer in the box.
The greatest number of wristbands that can be made from a rectangular piece of paper that measures 18 centimeters by 85 centimeters is 36.
To calculate the greatest number of wristbands that can be made from a rectangular piece of paper that measures 18 centimeters by 85 centimeters, we need to divide the width of the paper by the width of each wristband, and then divide the length of the paper by the length of each wristband, and then multiply the two numbers together. The result will be the greatest number of wristbands that can be made from the paper.
Using the dimensions given in the question, and assuming that each wristband measures 1.5 centimeters by 22 centimeters (which is a typical size for a wristband), we can calculate the number of wristbands as follows:
Width of paper = 18 centimeters
Width of each wristband = 1.5 centimeters
Number of wristbands in width = (18 / 1.5) = 12
Length of paper = 85 centimeters
Length of each wristband = 22 centimeters
Number of wristbands in length = (85 / 22) ≈ 3.86 (round down to 3)
Total number of wristbands = (12 x 3) = 36
Therefore, the greatest number of wristbands that can be made from a rectangular piece of paper that measures 18 centimeters by 85 centimeters is 36.
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use quantifiers and logical connectives to express the factthat every linear polynomial (that is, polynomial of degree 1) with real coefficients and where the coefficient ofx is nonzero, has exactly one real root.
The expression states that for every linear polynomial p with real coefficients and a nonzero coefficient of x, there is exactly one real root r.
For all linear polynomials with real coefficients and a nonzero coefficient of x, there exists exactly one real root. This can be expressed using the universal quantifier "for all" and the existential quantifier "there exists", connected by the logical connective "and". Additionally, the statement "exactly one real root" can be expressed using the quantifier "there exists" and the logical connective "and".
Using quantifiers and logical connectives, we can express the given fact as follows:
∀p ∃!r ((isLinearPolynomial(p) ∧ hasRealCoefficients(p) ∧ coefficientOfX(p) ≠ 0) → hasRealRoot(p, r))
Explanation:
- ∀p: For every polynomial p
- ∃!r: There exists exactly one real root r
- isLinearPolynomial(p): p is a linear polynomial (degree 1)
- hasRealCoefficients(p): p has real coefficients
- coefficientOfX(p) ≠ 0: The coefficient of x in p is nonzero
- hasRealRoot(p, r): p has a real root r
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Which of the following is equivalent to
(16 3/2)^1/2 ?
O 6
O 8
O 12
O 64
Step-by-step explanation:
\( = { ({16}^{ \frac{3}{2} } )}^{ \frac{1}{2} } \)
\( = { ({( {2}^{4}) }^{ \frac{3}{2} } )}^{ \frac{1}{2} } \)
\( = {2}^{4 \times \frac{3}{2} \times \frac{1}{2} } \)
\( = {2}^{ \frac{12}{4} } \)
\( = {2}^{3} \)
\( = 2 \times 2 \times 2\)
\( = 8\)
The answer is B.
If two methods agree perfectly in a method comparison study, the slope equals ________ and the y-intercept equals ________.
a. 0.0, 1.0
b. 1.0, 0.0
c. 1.0, 1.0
d. 0.0, 0.0
e. 0.5, 0.5
If two methods agree perfectly in a method comparison study, the slope equals 1.0 and the y-intercept equals 0.0. Therefore, option (b) is the correct answer.
In a method comparison study, the goal is to compare the agreement between two different measurement methods or instruments. The relationship between the measurements obtained from the two methods can be described by a linear equation of the form y = mx + b, where y represents the measurements from one method, x represents the measurements from the other method, m represents the slope, and b represents the y-intercept.
When the two methods agree perfectly, it means that there is a one-to-one relationship between the measurements obtained from each method. In other words, for every x value, the corresponding y value is the same. This indicates that the slope of the line connecting the measurements is 1.0, reflecting a direct proportional relationship.
Additionally, when the two methods agree perfectly, there is no systematic difference or offset between the measurements. This means that the line connecting the measurements intersects the y-axis at 0.0, indicating that the y-intercept is 0.0.
Therefore, in a perfect agreement scenario, the slope equals 1.0 and the y-intercept equals 0.0, which corresponds to option (b).
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out of 330 racers who started the marathon, 293 completed the race, 29 gave up, and 8 were disqualified. what percentage did not complete the marathon?
Approximately 11.21% of the racers did not complete the marathon.
To find the percentage of racers who did not complete the marathon, we need to calculate the ratio of the number of racers who did not complete (gave up or were disqualified) to the total number of racers who started the marathon.
The number of racers who did not complete the marathon is the sum of those who gave up and those who were disqualified, which is 29 + 8 = 37.
So, the percentage of racers who did not complete the marathon is given by:
(37 / 330) * 100
Calculating this expression:
(37 / 330) * 100 ≈ 11.21%
Therefore, approximately 11.21% of the racers did not complete the marathon.
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A video game displays 125 frames in 5 seconds on Penelope's computer. What is the rate in frames per second?
A. 23 frames per second
B. 25 frames per second
C. 26 frames per second
D. 24 frames per second
Answer:
\( = { \tt{ \frac{125}{5} }} \\ = { \bf{25 \: frames \: per \: second}}\)
Answer:
B. 25 frames per second
Step-by-step explanation:
To find the rate in frames per second, divide the total frames in 5 seconds by 5. This is because 5/5=1 and that way we're finding the frames per (one) second.
Therefore, we have:
\(\frac{125}{5}=\boxed{25\text{ frames per second}}\)
A circle is divided into 18 parts. How many degrees is for each angle?
360/18= 20
so the answer is 20 degrees
Answer:
20 degree
Step-by-step explanation:
Total angle for a circle is 360 degree, if divided into 18 part, then each part is 360 / 18 = 20 degree.
If it is helpful, plz give me Brainliest.
If 3 cars have traveled a total of 180,000 miles and the distance traveled by each car differs by at least 1 mile from the distance traveled by either of the other 2 cars,what is the minimum possible number of miles traveled by the car with the most mileage
Answer:
60001 miles
Step-by-step explanation:
Given
\(Total\ Distance = 180000\)
Let the cars be: \(Car\ A, Car\ B\ and\ Car\ C\)
Assume that Car A has the minimum mileage of x.
\(Car\ A = x\)
The other cars would be:
\(Car\ B = x + 1\)
\(Car\ C = x + 2\)
This implies that Car C has the highest mileage
Required
Determine the possible minimum number of miles
Since the total distance is 180000, then:
\(Car\ A + Car\ B + Car\ C = 180000\)
Substitute values for Car A, B and C
\(x + x + 1 + x + 2 = 180000\)
Collect Like Terms
\(x + x + x = 180000-1-2\)
\(3x = 179997\)
Divide both sides by 3
\(\frac{3x}{3} = \frac{179997}{3}\)
\(x = \frac{179997}{3}\)
\(x = 59999\)
The car with the most mileage is Car C
So:
\(Car\ C = x + 2\)
Substitute 59999 for x in \(Car\ C = x + 2\)
\(Car\ C = 59999 + 2\)
\(Car\ C = 60001\)
The minimum distance travelled by Car C is 60001 miles
What are the vertex and range of y = |x + 1| + 3?
(0, 4); −∞ < y < ∞
(0, 4); 3 ≤ y < ∞
(−1, 3); −∞ < y < ∞
(−1, 3); 3 ≤ y < ∞
According to the given function the Vertex: (-1, 3), Range: 3 ≤ y < ∞.
What is function?In mathematics, a function is a rule that assigns each element in one set, called the domain, to a unique element in another set, called the range. The elements in the domain are the input values, and the elements in the range are the output values.
According to the given information:the vertex and range of the function y = |x + 1| + 3, we need to remember that the absolute value function has a vertex at the point where the input (x) is 0, and the range of the function is always non-negative.
The function y = |x + 1| + 3 is a translation of the absolute value function y = |x| by one unit to the left and three units up. So, the vertex of the function y = |x + 1| + 3 is at the point (-1, 3).
The range of the function y = |x + 1| + 3 is all non-negative values, since the absolute value function always returns non-negative values.
According to the given function the Vertex: (-1, 3), Range: 3 ≤ y < ∞.
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Tomas works as an underwater photographer. He starts at a position that is 17 feet below sea level. He rises 9 feet, then descends 15 feet to take a photo of a coral reef. Enter an expression to find his position relative to sea level when he took the photo and then evaluate the expression.
Answer:
(-17 + 9) - 15
Step-by-step explanation:
I think of below sa level as negative numbers, so 17 feet below sea level is -17. Then when he rises 9 feet that would be - 17 + 9. When he decends 15 feet to take another picture thats - 15. Then when you thing of pemdas addition goes first, so i just put parentases around -17 + 9 to get the expression (-17 + 9) - 15
Kelly is painting her bedroom wall.she paints 1/3 of the wall in 3/5 of an hour. What is her rate per hour
Answer:
The answer is 5/9
Step-by-step explanation:
It is 5/9 because you have to do cross multiplication, 3 times 3 is 9 which will be the dominator and 5 times 1 which is 5 and the numerator. Hope this helped please mark brainliest.
In phase 2 of a three-phase clinical trial to test the efficacy of the BNT163b2 mRNA vaccine for COVID-19, participants were randomly assigned to receive either the vaccine or a placebo. In the placebo group, 18,325 participants with no evidence of infection received placebo injections and 162 eventually contracted COVID-19. Of the 18,198 participants with no evidence of infection who received the vaccine, 8 eventually contracted COVID-19. Conventional wisdom suggested that the infection rate for COVID-19 was about 3%. Assume that the 18,325 people who received the placebo represent a simple random sample of all people with no prior evidence of infection and have not been vaccinated. Let's say you carry out a hypothesis test of significance to determine if there is evidence from this sample that the proportion of unvaccinated people who catch the virus is not 0.03. Compute the one-sample z- statistic. Give your answer to at least one decimal place.
The one-sample z-statistic for evaluating the hypothesis that unvaccinated people get COVID-19 is not 0.03 is -85.7. This statistic tested the hypothesis that unvaccinated people do not get COVID-19 at 0.03%.
In order to compute the one-sample z-statistic, we must first do a comparison between the observed proportion of COVID-19 instances in the placebo group and the expected proportion of 0.03. (p - p0) / [(p0(1-p0)) / n is the formula for the one-sample z-statistic. In this formula, p represents the actual proportion, p0 represents the predicted proportion, and n represents the sample size.
The observed proportion of COVID-19 instances among those who received the placebo is 162/18325 less than 0.0088. According to the received wisdom, the proportion that should be anticipated is 0.03. The total number of people sampled is 18325. After entering these numbers into the formula, we receive the following results:
z = (0.0088 - 0.03) / √[(0.03(1-0.03)) / 18325] ≈ (-0.0212) / √[(0.0291) / 18325] ≈ -85.7
As a result, the value of the z-statistic for just one sample is about -85.7. This demonstrates that the observed proportion of COVID-19 cases in the unvaccinated population is significantly different from the expected proportion of COVID-19 cases in that population.
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Find the first 5 terms of the sequence a1= -4, an = 3an-1 -2 for n > 1.
==========================================================
Explanation:
The notation \(a_1 = -4\) tells us that the first term is -4.
To generate the next term, we'll use the recursive rule \(a_n = 3*a_{n-1}-2\) which is probably better written as \(a_n = 3*(a_{n-1})-2\). That rule says: "Whatever the previous term is, multiply by 3 and subtract off 2 to get the next term".
This means,
2nd term = 3*(1st term) - 2 = 3*(-4)-2 = -143rd term = 3*(2nd term) - 2 = 3*(-14)-2 = -444th term = 3*(3rd term) - 2 = 3*(-44)-2 = -1345th term = 3*(4th term) - 2 = 3*(-134)-2 = -404Therefore, the first five terms are: -4, -14, -44, -134, -404
The flight of a cannonball toward a hill is described by the parabola y=2+0.12x- 0.0004x^2
The computation shows that the placw on the hill where the cannonball land is 3.75m.
How to illustrate the information?To find where on the hill the cannonball lands
So 0.15x = 2 + 0.12x - 0.002x²
Taking the LHS expression to the right and rearranging we have:
-0.002x² + 0.12x -.0.15x + 2 = 0.
So we have -0.002x²- 0.03x + 2 = 0
I'll multiply through by -1 so we have
0.002x² + 0.03x -2 = 0.
This is a quadratic equation with two solutions x1 = 25 and x2 = -40 since x cannot be negative x = 25.
The second solution y = 0.15 * 25 = 3.75
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Complete question:
The flight of a cannonball toward a hill is described by the parabola y = 2 + 0.12x - 0.002x 2 . the hill slopes upward along a path given by y = 0.15x. where on the hill does the cannonball land?
whoever can give me the answers to these and do a easy step by step i will give a brainliest!! this is greatly appreciated!!
Answer:
number one is -5 because -2-3 is -5
number two is 25 because negative times negative is a positive and because -5x-5 is 25
number three is 5 becuase 0 cancels out 3 so it is 5
Step-by-step explanation:
the only thing I could think is that you would replace the x with whatever it says x stands for
f (2) =2-3
g (5) = 2 {5}
h (0) = 5-3 {0}
then I would just solve hope it helps
paige just finished a road trip where she visited the following square pyramids: the bent pyramid and the red pyramid. the table below shows the approximate dimensions of the two pyramids. dimensions of pyramids base side length height bent pyramid 619 feet 332 feet red pyramid 722 feet 341 feet paige has to write a paper on volume for school and needs some help. what is the difference in volume of the two pyramids, rounded to the nearest cubic foot?
The difference in volume between the two pyramids is 12,371,740 cubic feet.
To find the volume of a square pyramid, you use the formula :
V = (1/3)Bh, where B is the area of the base and h is the height.
Using the dimensions given in the table, we can calculate the volumes of the two pyramids:
- Volume of Bent Pyramid = (1/3)(619 feet * 619 feet)(332 feet) = 26,384,053.33 cubic feet
- Volume of Red Pyramid = (1/3)(722 feet * 722 feet)(341 feet) = 38,755,793.33 cubic feet
To find the difference in volume between the two pyramids, we subtract the smaller volume from the larger volume:
38,755,793.33 - 26,384,053.33 = 12,371,740 cubic feet.
Rounding to the nearest cubic foot, the difference in volume between the two pyramids is 12,371,740 cubic feet.
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1. Given a surface charge distribution rho s on the plane z=0, find: a) Erec and V at P rec (0,0,1) if rho s =rho o within region (1≤r c ≤2,0≤Φ≤2π), and rho s
=0 elsewhere (1pts) b) Erec and V at P rec (0,0,1) if rho s =rho o
within region (1≤r c ≤2,0≤Φ≤π/2), and rho s
=0 elsewhere
a) The electric field (Erec) and potential (V) at Prec (0,0,1) if rho_s = rho_o within region (1 ≤ r_c ≤ 2, 0 ≤ Φ ≤ 2π), and rho_s = 0 elsewhere are Erec = 0 and V = 0.
b) The electric field (Erec) and potential (V) at Prec (0,0,1) if rho_s = rho_o within region (1 ≤ r_c ≤ 2, 0 ≤ Φ ≤ π/2), and rho_s = 0 elsewhere are Erec = 0 and V = 0.
a) In this case, the surface charge density rho_s is nonzero only within the region defined by 1 ≤ r_c ≤ 2 and 0 ≤ Φ ≤ 2π. Since the point Prec is located at z = 1, which is above the plane z = 0, the contribution of rho_s to the electric field and potential at Prec is zero. This is because the electric field due to a surface charge distribution is perpendicular to the surface, and since Prec is located above the surface, there is no electric field contribution from rho_s. Similarly, since the electric field is zero, the potential is also zero at Prec.
b) In this case, the surface charge density rho_s is nonzero within the region defined by 1 ≤ r_c ≤ 2 and 0 ≤ Φ ≤ π/2. Again, since the point Prec is located at z = 1, above the plane z = 0, the contribution of rho_s to the electric field and potential at Prec is zero. This is because the electric field due to a surface charge distribution is perpendicular to the surface, and since Prec is located above the surface, there is no electric field contribution from rho_s. Consequently, the potential at Prec is also zero.
In both cases, the contributions from the surface charge distribution rho_s to the electric field and potential at Prec are zero due to the specific location of Prec with respect to the surface charge distribution.
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what is the diameter of 12mm and 8mm
Answer:
diameter 12mm
Step-by-step explanation: