Divide.
(−16)÷(−56)
What is the quotient?
Answer:
Quotient = 0; Remainder = 16
Step-by-step explanation:
hi i need help with this
Evaluate 4(3-1)^2
Hey there!
4(3 - 1)^2
3 - 1 = 2
= 4(2^2)
2^2
= 2 * 2
= 4
4(4)
= 16
Answer: 16
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
4(3-1)^2= 16
Step-by-step explanation:
4(3-1)^2
=4×(2)^2
=4×4
=16 ........
HOPE THIS HELPS YOU....
25^x+1 - 5^x+1 = 100
we need to bring together the terms containing x. Then constant terms on the other side. Then simplify by performing the addition/subtraction/multiplication.
Done hope it helps
In Jackie’s math class, there are 51 students and one-third of the class is boys. How many girls are there in Jackie’s math class?
Answer:
34 boys
Step-by-step explanation:
you divide 51 by 3 which gets yOU 17 and then you subtract 17 by 51 which gets you 34
What is the first quartile of the data set 10, 11, 12, 15, 17, 19, 22, ,24, 29, 33, 38?
Therefore, the first quartile of the given dataset is 12.
To find the first quartile of a dataset, determine the value that separates the lowest 25% of the data from the rest.
Arrange the data in ascending order:
10, 11, 12, 15, 17, 19, 22, 24, 29, 33, 38.
Calculate the position of the first quartile:
The first quartile corresponds to the 25th percentile, which can be calculated as
(25/100) * (n + 1),
where n is the total number of data points.
In this case, n = 11, so (25/100) * (11 + 1) = 3.
Determine the value at the calculated position:
Since the position is a whole number, the first quartile falls between the third and fourth data points.
The third data point is 12, and the fourth data point is 15.
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Round 7,127 to the nearest hundred.
Answer:
7,100
Step-by-step explanation:
14. Consider this system of equations.y = -2x2 + 9y = 4x + 3What values of x are solutions to the system of equations?A.x = -9 and x = 7B.x= -7 and x = 9C.x = -3 and x = 1D.x = -1 and x = 3
SOLUTION:
Step 1:
In this question, we are given the following:
Consider this system of equations:
\(\begin{gathered} y=-2x^2\text{ +9} \\ y\text{ = 4x + 3} \end{gathered}\)Step 2:
The details of the solution are as follows:
CONCLUSION:
The values of x that are the solutions to the system of equations are:
\(x\text{ =- 3 and x = 1 -- OPTION C}\)
Find the angle between vector bold lower u equals 3 bold lower I plus start root 3 end root bold lower j and vector bold lower v equals negative 2 bold lower I minus 5 bold lower j to the nearest degree. A. 82° B. 38° C. 142° D. 98°
Answer:
C. 142°
Step-by-step explanation:
You want the angle between vectors u=3i+√3j and v=-2i-5j.
AngleThere are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:
u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest
You can find the angles of the vectors individually, and subtract those:
u = |u|∠α
v = |v|∠β
θ = α - β
When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:
\(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)
This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.
A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.
__
Additional comment
The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.
The dot-product relation will work with 3D vectors as well as 2D vectors.
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What is the distance between the points (12, 6) and (−8, 6) on a coordinate plane? *
4 units
12 units
6 units
20 units
Answer:
im pretty sure it is "4 units"
Step-by-step explanation:
Currently I have separators on my molars so I can have enough space for an expander. But I noticed that one of my molars has shifted a lot to the side where it’s uncomfortable to eat or bite down. And I’m not sure if it’s suppose to shift to the side or not
Is that normal?-
Answer:
Yes I think
Step-by-step explanation:
I went through the braces process a few years ago and I got an expander. Your separator is probably making room for something meaning your teeth will probably move. Im no professional so Id say call into the office tomorrow or asap. And for the pain use whatever pain meds they allow (normally ibprophen ot tylenol) (sorry for spelling)
in 5-8, find each reciprocal. 5/9 8 7/3 1/12
the answer
155
324
5/9 (87/3(1/12)= 155/324
Use the confidence interval to find the estimated margin of error. Then find the sample mean. A store manager reports a confidence interval of (44.07, 80.97) when estimating the mean price (in dollars) for the population of textbooks.
The store manager reports estimated margin of error is ±18.45 dollars and the sample mean is 62.52.
To find the estimated margin of error, we first need to calculate the half-width of the confidence interval. The half-width is calculated by subtracting the lower limit of the interval from the upper limit and then dividing by 2:
Half-width = (Upper limit - Lower limit) / 2
In this case, the upper limit is 80.97 and the lower limit is 44.07. So, the half-width is:
Half-width = (80.97 - 44.07) / 2 = 18.45
This means that the estimated margin of error is ±18.45 dollars.
To find the sample mean, we take the average of the upper and lower limits of the confidence interval:
Sample mean = (Upper limit + Lower limit) / 2
In this case, the sample mean is:
Sample mean = (80.97 + 44.07) / 2 = 62.52
Therefore, the store manager estimates that the mean price for the population of textbooks is $62.52, with a margin of error of ±18.45 dollars at a confidence level of 95%.
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4(c-3)-8 what is the value of c
Answer:
Did you mean 4c-12=8? If so, the value of c is 5.
Step-by-step explanation:
Answer:
4c-12=8 the value of c is 5.
Step-by-step explanation:
The newest model of smart car is supposed to get excellent gas mileage. A thorough study showed that gas mileage (measured in miles per gallon) is normally distributed with a mean of 75 miles per gallon and a standard deviation of 10 miles per gallon. What is the probability that, if driven normally, the car will get 75 miles per gallon or better
The probability that, if driven normally, the car will get 75 miles per gallon or better is approximately 0.5000 or 50%.
To find the probability that the car will get 75 miles per gallon or better, we need to calculate the area under the normal distribution curve to the right of the value 75.
Given information:
Mean (μ) = 75 miles per gallon
Standard deviation (σ) = 10 miles per gallon
To calculate this probability, we can use the standard normal distribution table or standardize the value and use the standard normal distribution.
Standardize the value:
To standardize the value 75, we use the formula:
Z = (X - μ) / σ
Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.
Standardized value:
Z = (75 - 75) / 10
Z = 0
Calculate the probability:
Now, we need to find the probability corresponding to the standardized value of 0. We can use the standard normal distribution table to find this probability.
From the standard normal distribution table, the area to the right of the standardized value 0 is 0.5000. Since we want the probability to the right of 0 (or greater than 0), we subtract this value from 1.
Probability = 1 - 0.5000
Probability = 0.5000
Therefore, the probability that, if driven normally, the car will get 75 miles per gallon or better is approximately 0.5000 or 50%.
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A soccer field is 110 yards long and 80 yards wide. What is the longest pass that one player can make to another player on a soccer field?
Answer and Step-by-step explanation:
To find the answer, we need to first think of what length in the rectangle can make the longest path, then use the Pythagorean Theorem.
The diagonal in a rectangle (going from one corner to another) is the longest distance.
If we were to split that rectangle by its diagonal, we would get a triangle. By the Pythagorean Theorem, we can find the length of that diagonal (the hypotenuse of the triangle).
\(A^2 + B^2 = C^2\\\\110^2+80^2 = C^2\\\\12100 + 6400 = C^2\\\\18500 = C^2\\\\10\sqrt{185} = C = 136.0147 yards\) <- This is the answer (the decimal version or this ^ version).
#teamtrees #PAW (Plant And Water)
EXAMPLES OF LOGISTICS INDUSTRY JOURNALS
CRITIQUE/GIVE YOUR COMMENTS
few examples of logistics industry journals along with some brief critiques and comments:
Journal of Business Logistics (JBL)
Critique: The Journal of Business Logistics is a reputable and well-established journal in the field of logistics. It covers a wide range of topics related to supply chain management, transportation, warehousing, and distribution.
Comment: The JBL provides valuable insights and research findings that contribute to the advancement of knowledge in logistics and supply chain management. It is a reliable source for practitioners and academics seeking in-depth analysis and practical implications in the field.
Transportation Research Part E: Logistics and Transportation Review
Critique: Transportation Research Part E focuses on research related to logistics and transportation systems, emphasizing quantitative analysis and modeling approaches. It covers a broad spectrum of topics, including freight transportation, logistics network design, and optimization.
Comment: This journal offers a rigorous and analytical perspective on logistics and transportation issues. It presents cutting-edge research and encourages the application of mathematical modeling and optimization techniques to improve logistics operations and decision-making.
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For the following problem determine the objective function and problem constraints. Because of new federal regulations on pollution, a chemical plant introduced a new, more expensive process to wupplement or replace an older proces used in the production of a particulat solution. The older processemitted 20 grams of Chemical A and 40 grams of Chemical B into the atmosphere for each gallon of solution produced. The new process mit 3 grams of Chemical A and 20 grams of Chemical B for each gallon of solution produced. The company make a profit of $0.00 per allon and 50.20 per alle of solution via the old and new processes, respectively. If the government on the plant to emit no more than 16.000 grams of Chemical A und 30,000 rum of Chemical B daily, bow man allocs of the colution should be produced by the process (potentially ming both peci that mee from a profit standpoint to maximis daily
The chemical plant should use the new process to produce the solution, and it should produce 1400 gallons of solution daily to maximize the daily profit.
Objective Function: \($50.20x_2$\)
Problem Constraints:
\(20x_1 + 3x_2 \le 16,000$$\\40x_1 + 20x_2 \le 30,000$, $x_1, x_2 \ge 0\)
The given problem is about a chemical plant that introduced a new, more expensive process to supplement or replace an older process used in the production of a particular solution. The profit of the company per gallon of solution for the old and new processes is \($0.00\) and \($50.20\), respectively.
The objective of the problem is to determine how many gallons of the solution should be produced by the process, from a profit standpoint, to maximize daily profits.
Objective Function: \($50.20x_2$\) (The objective function is to maximize the daily profit made by the company.)
Problem Constraints:
\(20x_1 + 3x_2 \le 16,000$$\\40x_1 + 20x_2 \le 30,000$, $x_1, x_2 \ge 0$\)
(The constraints are that the government wants the plant to emit no more than 16,000 grams of Chemical A and 30,000 grams of Chemical B daily.)
Thus, the objective function is to maximize the daily profit, subject to the constraints. The maximum profit can be achieved by using the new process because it emits less of Chemical A and B into the atmosphere. Hence, the chemical plant should produce more gallons of the solution using the new process.
The chemical plant should produce more gallons of the solution using the new process as it emits less of Chemical A and B into the atmosphere, and the company makes a profit of 50.20 per gallon of solution via the new process. The objective of the problem is to determine the number of gallons of solution that should be produced daily to maximize the daily profit. The constraints are that the government wants the plant to emit no more than 16,000 grams of Chemical A and 30,000 grams of Chemical B daily.
Therefore, the objective function is to maximize the daily profit, subject to the constraints. The solution to the problem is to produce 1400 gallons of solution using the new process and 0 gallons of solution using the old process. Thus, the daily profit of the company will be 70,280.00.
Thus, the chemical plant should use the new process to produce the solution, and it should produce 1400 gallons of solution daily to maximize the daily profit.
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a juice manufacturer has 50,000 gallons of juice in process at the beginning of the month. by month's end 25,000 gallons were complete, 20,000 gallons were 60% complete and 5,000 units were 40% complete.
To send the frequency distribution data to Excel, you can follow these steps:
1. Open Excel on your computer.
2. Create a new worksheet or open an existing one where you want to import the data.
3. Label the first column as "Number of Tests Performed" and the second column as "Number of Patients".
4. In the first column, enter the values 0, 1, 2, 3, and 4 or more in separate cells, corresponding to the number of tests performed.
5. In the second column, enter the corresponding values 14, 8, 4, 4, and 2, which represent the number of patients for each category of tests.
6. Select both columns by clicking and dragging over the cells.
7. Go to the "Copy" option in the Excel toolbar or use the Ctrl+C keyboard shortcut to copy the selected data.
8. Switch to the Excel worksheet where you want to paste the data.
9. Select the first cell where you want to paste the data.
10. Right-click on the cell and choose the "Paste" option or use the Ctrl+V keyboard shortcut to paste the data.
Now, the frequency distribution data from the emergency room tests should be successfully transferred to Excel.
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Joaquin is four more than half Marjorie’s age. Marjorie is also 32 less than three times Joaquin’s age.
How old is Marjorie?
a.24 years old
b.28 years old
c.40 years old
d.54 years old
From the relationship in age between Joaquin and Marjorie, we can say that;
Marjorie is 40 years Old.
Let Joaquin's age be xLet Marjorie's age be y.We are told that Joaquin is four more than half Marjorie’s age.Thus; x = ¹/₂y + 4 ---(eq 1)
Also, Marjorie is also 32 less than three times Joaquin’s age.Thus; 3x - 32 = y ---(eq 2)
Let's put ¹/₂y + 4 for x in eq 2;3(¹/₂y + 4) - 32 = y
3y/2 + 12 - 32 = y
3y/2 - y = 20
y/2 = 20
Multiply both sides by 2 to get;
y = 20 × 2
y = 40 years
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PLEASE HELP?
Pedro went to the store and spent $36.85. He paid with a $50 bill. How much money will he get back as
change? Show All Your Work for full credit.
Answer:
Step-by-step explanation:
change = dollar_amount - spent_amount
change = 50 - 36.85
change = 13.15
Gonzalez little sister thinks that all of Deazia's
time slash distances point should be on the line drawn by her coach is she correct explain your reasoning
Gonzalez little sister thinks that all of Deazia's time slash distances point should be on the line drawn by her coach which is correct as it provides an accurate reference frame.
What is a Reference frame?
This is a term which is used to represent a set of coordinates or it is also referred to as something you use to measure the things that matter in Newtonian problems and other areas of life.
Time slash distances point which should be on the line drawn by her coach is correct because it makes the measurement of the different variables and parameters involved to be more accurate as against when another line is used.
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A recipe for a dozen iced cookies calls for 2 1/4 cups flour. Which can be used to determine the amount of flour needed to make 32 cookies?
Answer:
You can form a proportion to solve this problem.
Step-by-step explanation:
The proportion can look like this (there are other ways to write an equal proportion but this is just one of the ways you could go about it :)
\(\frac{2.25}{12}\)=\(\frac{x}{32}\)
12x=72
x=6 cups of flour
Hope this helps!! :)
Answer:
You can form a proportion to solve this problem.
Step-by-step explanation:
The proportion can look like this (there are other ways to write an equal proportion but this is just one of the ways you could go about it :)
=
12x=72
x=6 cups of flour
need help!!!!!!!!!!!!!!!!!!!!!!!
Answer:
3/5
Step-by-step explanation:
The sine of an angle is the length of the opposite side divided by the length of the hypotenuse. In this case, that is 6/10, which can be simplified to 3/5. Hope this helps!
6/10, or 3/5. (sine is opposite/hypotenuse)
For George’s party, his dad bought an ice cream cake. After the party, 1/3 of the cake was left. The next day, George ate half of what was left. Choose the model that shows what fraction of cake George ate
Answer :
1/3 ÷ 2 = 1/6 left
I NEED HELP WITH MY HOME WORK!!!! An aquarium holds
12
1212 liters of water.
How many aquariums can we fill with
48
4848 liters of water?
Include fractions of aquariums, if applicable.
aquariums
Answer:
Step-by-step explanation:
48 over 12 = 4 is the answer
9.2 HW Central Angles, Arc Measures, & Arc Length
Answer:
I can help you with this, i just need the actual questions.
Step-by-step explanation:
The midpoint of the segment as an ordered pair (8,8) (2,2)
answer:
(5,5).
explanation:
ordered-pair: (8,8) (2,2)
x1 (8), y1 (8). x2 (2), y2 (2)
x: (8+2/2)= 5.
y: (8+2/2)= 5.
midpoint formula:
you will build a rectangular sheep pen next to a river. there is no need to build a fence along the river, so you only need to build three sides. you have a total of 420 feet of fence to use. find the dimensions of the pen such that you can enclose the maximum area.
The dimensions of the pens enclosing the largest area are 105 feet x 210 feet.
Let 'w' be the width of the pen and 'l' be the length of the pen (perpendicular to the river). We know there is a 420-foot fence that can be used to build the 3 sides of the enclosure.
2w + l = 420
Maximize the area of the pen given by the formula:
A = lw
You can solve l in terms of w using the equation 2w + l = 420.
l = 420 - 2w
Substituting this formula for l gives:
\(A = w(420 - 2w) = -2w^2 + 420w\)
To find the maximum area, take the derivative of A with respect to w and set it to 0.
dA/dw = -4w + 420 = 0
Solving for w gives:
w = 105
Substituting this value of w into the formula for l yields:
l = 420 - 2w = 210
Therefore, the dimensions of the pens enclosing the largest area are 105 feet x 210 feet.
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What is the surface area of this right triangular prism?
Answer:
1200 in²------------------------
Find the perimeter of the triangular base and multiply it by the height.
S = PhS = (17 + 17 + 30)*15S = 64*15S = 960 in²Find the area of triangular bases:
B = (1/2)*8*30 = 120 in²Add up the two bases to the lateral area to get the total surface area:
A = 960 + 2*120A = 1200 in²Total surface area is 1200 in².
Find the value of X. Round your answer to the nearest tenth.
By Pythagorean theorem, the length of line segment x is approximately equal to 2.609 feet.
How to determine the length of a missing line segment in a right triangle
In this problem we find a geometric system where line segment x is perpendicular to the hypotenuse of a right triangle. This system can be represented well by Pythagorean theorem:
4.6² = (5.8 - y)² + x²
3.5² = x² + y²
First, eliminate variable x and solve for y:
4.6² = (5.8 - y)² + (3.5² - y²)
4.6² = 5.8² - 10.6 · y + y² + 3.5² - y²
4.6² = 5.8² - 10.6 · y + 3.5²
10.6 · y = 5.8² + 3.5² - 4.6²
y = 2.333
Second, determine variable x:
x = √(3.5² - 2.333²)
x = 2.609
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