It is difficult to accurately estimate the values of fx and fy at point B without more information. In order to estimate the values of the partial derivatives at a point, you typically need to have a contour map or some other representation of the function in the neighborhood of that point.
A contour map is a graphical representation of a function that shows the values of the function at different points in the xy plane. The lines on the map, called contour lines, represent the values of the function, and the spacing between the lines indicates the rate of change of the function.
To estimate the values of the partial derivatives at a point using a contour map, you can:
Identify the contour line that passes through the point of interest.Look for nearby points on the map that have coordinates that differ only in the x or y direction from the point of interest.Calculate the difference in the function values at these points and divide by the difference in the x or y coordinate, depending on which partial derivative you are estimating.For example, to estimate fx at point B, you could:
Identify the contour line that passes through point B.Look for nearby points on the map that have y-coordinates that are the same as point B but x-coordinates that are different.Calculate the difference in the function values at these points and divide by the difference in the x-coordinates to estimate fx at point B.Without a contour map or other representation of the function in the neighborhood of point B, it is not possible to accurately estimate the values of fx and fy.
Since the question is incomplete and there is no similar one found, the answer is general.
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What is the median of the following data sample 2 7 4 8 9 10 6 12 13?
There are 9 values in the sample: 2, 4, 6, 7, 8, 9, 10, 12, and 13. Since there are an odd number of values, the median is the middle value. In this case, the median is the 5th value, which is 8.
The median is a measure of central tendency, which means it is used to describe the "typical" or "average" value in a sample of data. To find the median, we first need to arrange the data in numerical order. In this case, the data is already in numerical order, so we can proceed directly to finding the median.
There are 9 values in the sample: 2, 4, 6, 7, 8, 9, 10, 12, 13. Since there are an odd number of values, the median is the middle value. In this case, the median is the 5th value, which is 8. This means that 8 is the middle value, with 4 values smaller than it and 4 values larger than it.
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Determine which ratio forms a proportion with 14/35 by writing the ratio in simplist form.
A) 2/7
B) 4/5
C) 3/8
D) 2/5
What is the formula of commutative property?
The formula of commutative property of addition is a + b = b + a and the formula of commutative property of multiplication is a × b = b × a.
The Commutative Property is derived from the word commute, which means to move. It states that the product or sum of two numbers do not change even if the places of numbers are changed or if the numbers move from one place to another.
The commutative property of addition states that a + b = b + a
The commutative property of multiplication states that a × b = b × a.
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In circle H with m/GHJ = 54°, find the m/GKJ.
Answer:
H
G
K
Submit Answer
DEVEL
attempt 1 out of 2
The measure of the angle ∠GKJ, m∠GKJ, at the circumference of the circle H, which is subtends the same arc GJ as the angle ∠GHJ at the center of the circle is 27°
What is an arc of a circle?An arc of a circle is a part of the circle's circumference.
The measure of angle ∠GHJ, m∠GHJ = 54°
The measure of angle ∠GKJ, m∠GKJ = Required
Please find attached a possible drawing of the circle H created with MS Word and based on a similar question posted online
The circle, Angle at the Center Theorem states that the angle subtended at the center by arc is twice the angle subtended by the arc at the circumference of the circle.
The question indicates that the angle subtended by the arc GJ at the center of the circle, ∠GHJ = 2 × The angle subtended by the arc GJ at the circumference, ∠GJK
Therefore;
m∠GHJ = 2 × m∠GKJ
54° = 2 × m∠GKJ
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What is the first step to graph an inequality?
Always begin by separating the variable y from the inequality's left side is the first step to graph an inequality.
What are the steps to graphing an inequality?The graph of a two-variable inequality is the set of points that describe all solutions to the inequality. The coordinate plane is split in half by a boundary line created by a linear inequality, with one-half representing the solutions to the inequality.
Step 1: Always begin by separating the variable y from the inequality's left side.
Step 2: Replace the symbol for inequality with that for equality.
Step 3: In the xy plane, graph the boundary line from step 2. You are creating the boundary line that would divide or cut the xy-plane into two sections in this stage.
Step 4: Shading one side or area of the boundary line is the final step.
Step 5: Use this optional step to check or confirm that you have shaded the boundary line's side appropriately.
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Is 3x² 4x 15 a polynomial in one variable?
The equation is 3x² - 4x + 15 is polynomial in one variable.
What are polynomial in one variable?An algebraic expression with one or more terms and a non-zero coefficient is called a polynomial. A polynomial is an expression composed of variables, coefficients, and constants connected by a mathematical operator. A polynomial is an expression connected by mathematical operations like addition, subtraction, multiplication, and division. An algebraic expression with only one variable is called a polynomial in one variable.
Given equation 3x² - 4x + 15
An algebraic expression with only one variable is a polynomial in one variable.
some examples of one variable polynomial
x + 2
y+ 5
x² + ax + b
ax³ + bx + c
all the equations that contain only 1 variables are polynomial in one variable.
Hence the expression is polynomial in one variable.
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passes through (6,3) and (14,-5)
Answer:
Slope: m = (y2 - y1)/(x2 - x1) = (-5 - 3)/(14 - 6) = -8/8 = -1
The equation of the line is y = -x + b
Substitute (6,3) into the equation:
3 = -6 + b
b = 9
Therefore, the equation of the line is y = -x + 9
Step-by-step explanation:
1800 ounces of a radioactive substance are stored in a radioactive container.
ounces, of the substance that is left after t years can be modeled by the equation y = 1800e-0.00052t
where y is the amount of the substance left after t years.
Approximately how many years will it take until 80 ounces of this substance remains?
According to the given statement 2.622 years will it take until 80 ounces of this substance remains.
How much does one ounce weigh?Use a test tube holder that has an ounce marker or can be converted quickly to ounces (like cups). As you take the measuring cup from the ingredient, let it overflow. You may try and reduce measurement afterwards. Use a knife to level the measuring cup.
Briefing:The equation may be used to predict how much of the chemical is still present after t years, measured in ounces.
y=1800e -0.00052t
In the equation above, we substitute y = 80 ounce to obtain the time.
80= 1800e -0.00052t
80/1800=e -0.00052t
2/45= e -000.52t
Considering both ends of the aforementioned equation
In(2/45)= In(e -000.52t)
In(2)-In(45)= In(e -000.52)
0.3010-1.653= -000.52t
-1.352= -000.52t
dividing by 000.52 on both side
1.352/000.52= t
t= 2.622 years
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Where are the asymptotes for the following function located?
f (x) = startfraction 7 over x squared minus 2 x minus 24 endfraction
The asymptotes for the given function f(x) = 7/(x^2-2x-24) are located at
x = -3 and x = 8.
The asymptotes of a function are the lines that the graph approaches, but never touches as it continues to infinity. In the given function, f(x) = 7/(x^2-2x-24), the asymptotes are located at x = -3 and x = 8.
To find the asymptotes of a function, you first need to factor the denominator of the function. In this case, the denominator is[tex]x^2-2x-24,[/tex]which can be factored into (x+3)(x-8). This means that there are two potential zeroes in the denominator, x=-3 and x=8. These two points are the two asymptotes of the graph of the given function.
To explain further, the two asymptotes divide the x-axis into three intervals. On the interval (-infinity, -3), the graph of the function will approach negative infinity as x approaches -3 from the left. On the interval (-3, 8), the graph of the function will approach positive infinity as x approaches 8 from the right. On the interval (8, infinity), the graph of the function will approach negative infinity as x approaches 8 from the right.
In summary, the asymptotes for the given function f(x) = 7/(x^2-2x-24) are located at x = -3 and x = 8.
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Find the distance between two numbers on a number line -4 7/12 and -3 1/6
Answer: -17/12 or -1 5/12 or 1 5/12
Step-by-step explanation:
convert both equations into improper fractions
− 55/12 - (-19/6)
-55/12+19/6
find the common factor of the denominators
-55/12 + 38/12
-17/12
-1 5/12
Clark's rule is a formula used to determine pediatric doses of over the counter medicine.
The formula says
The weight of a child divided by 150 multiplied by the adult dose is the same as the child dose
if an adult dose of acetaminophen is 1,000 mg and a child weighs less than 90 pounds, what is
the recommended range of doses?
A. x≤ 600
B. x ≥ 600
C. 500
D. 500 ≤x≤ 600
500 ≤x≤ 600 is the recommended range of doses. Typically, a phase I or early phase II clinical trial involves dose range.
How to calculate doses ?To solve this problem using Clark's rule, we need to determine the range of pediatric doses for a child who weighs less than 90 pounds and for whom the adult dose is 1,000 mg.
A mathematical formula known as Clark's rule is used in medicine to determine the right dosage of medication for patients aged 2 to 17 depending on their weight and the recommended adult dose.
First, we can use the formula provided to calculate the child dose:
Child dose = (Weight of child / 150) * Adult dose
Since the weight of the child is less than 90 pounds, we can set the weight of the child to the minimum value in the range, which is 50 pounds. This gives us:
Child dose = (50 / 150) * 1000 mg
= 333.33 mg
Next, we can set the weight of the child to the maximum value in the range, which is 89 pounds. This gives us:
Child dose = (89 / 150) * 1000 mg
= 593.33 mg
Therefore, the recommended range of doses for a child who weighs less than 90 pounds and for whom the adult dose is 1,000 mg is 500 mg ≤ x ≤ 600 mg.
So, the correct answer is D. 500 ≤x≤ 600.
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Determine the domain of the following graph:
Answer: see below
Step-by-step explanation:
The domain of a graph consists of all the input values shown on the x-axis
We want to find the left-most x value and the right-most x value.
-8, 3
since there is a hole at the point where x=3 we will use a paratensesis
D:xE[-8,3)
What expression is equal to x squared minus 6x
Answer:
Step-by-step explanation:
[tex]x^{2} -6x[/tex]
What is domain simple answer?
A domain is a component of the nomenclature used in web addresses to identify your website or a particular page of your website online.
What is domain ?A function's authorized range of values is known as its domain. For a function like f, this set contains of the x values (x). The set of those values represents the possible range of values that a function can take as input. The function's response to our x value entry is this group of values.
here ,
A domain is typically a sphere of knowledge or an area under one's control.
Users find it much easier to recall and search for online because it is a string of text linked to a website's numerical IP address.
Both the internet's architecture and the way a company's network resources are set up fall under the umbrella term "domain."
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Misha surveyed students in her school about what writing tool they use. She found that 75 use pens; 30 of the pen users are boys. She also found that 28 boys and 32 girls use pencils. A 4-column table with 3 rows. Column 1 has entries boys, girls, total. Column 2 is labeled pens with entries 30, a, 75. Column 3 is labeled pencils with entries 28, 32, b. Column 4 is labeled total with entries c, d, e. Determine what each letter should be to complete this two-way table. A = b = c = d = e =.
The value of a,b,c,d, and e is 45, 60, 58, 77, and 135 respectively, required to complete the two-way table.
A two-way table shows the connections between two sets of category data visually. Labels are positioned at the top and left sides of the table, which has rows and columns.
The sums for each row are displayed to the right, while the sums for each column are displayed at the bottom.
We must create a two-way table based on the issue to ascertain the worth of each letter.
| Pens | Pencils | Total |
| Boys | 30 | 28 | c |
| Girls | a | 32 | d |
| Total | 75 | b | e |
This shows the entries in the body of the table. To find the value of each letter, we need to add and subtract.
Add the entries in the table to get the total and subtract if the total is given and one value is missing.
a= 75-30 = 45
b = 28+32= 60
c= 30+28 = 58
d= 45+32= 77
e= 75+60 = 135
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| Pens | Pencils | Total |
| Boys | 30 | 28 | c |
| Girls | a | 32 | d |
| Total | 75 | b | e |
This shows the entries in the body of the table. To find the value of each letter, we need to add and subtract.
Add the entries in the table to get the total and subtract if the total is given and one value is missing.
a= 75-30 = 45
b = 28+32= 60
c= 30+28 = 58
d= 45+32= 77
e= 75+60 = 135
What is the variance of 2 4 6 8 10?
The variance of 2, 4, 6, 8, 10 is 8.
To calculate the variance of a set of numbers, you first need to calculate the mean of the set. The mean of 2, 4, 6, 8, 10 is 6. Then, for each number in the set, you need to calculate the difference between that number and the mean, and square the result. Finally, you need to sum those squared differences and divide by the number of items in the set.
Here's the calculation:
(2 - 6)^2 + (4 - 6)^2 + (6 - 6)^2 + (8 - 6)^2 + (10 - 6)^2 = (-4)^2 + (-2)^2 + 0^2 + (2)^2 + (4)^2 = 16 + 4 + 0 + 4 + 16 = 40
40 / 5 = 8
So, the variance of 2, 4, 6, 8, 10 is 8.
How does variance work?Variance is a statistical measurement of the variation in numbers within a data set. Variance, in more precise terms, indicates how far apart any number in the set is from both the mean (average) and, consequently, from every other number in the set.
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I need to know the unit price for both a and b and what’s the better buy
Answer:
Brand A Forks $0.08, Brand B Forks $0.06, Better Buy is Brand B
Step-by-step explanation:
Unit price is price per unit (in this case, forks)
You need to find the $ for 1 fork for Brand A and B, since they have different unit prices.
total price/units = price/unit
Brand A: $1.97/25 forks = $0.0788 (rounded up is $0.08)
Brand B: $2.98/48 forks = $0.06208 (rounded up is $0.06)
Better brand is Brand B because it is cheaper.
1. Find the length of arc PRQ: Show your work.
Answer:
The length of arc PRQ is 16.7 in.
Step-by-step explanation:
Given;r = 8 inθ = 120°So,
arc length = 2πr × (θ/360)
arc length = 2(3.14)(8) × (120/360)
arc length = 2(3.14)(8) × (120/360)
arc length = 50.24 × (1/3)
arc length = 16.7 inches
Thus, The length of arc PRQ is 16.7 in.
Find the missing number in this proportion. ?/8=16/64
A.0
B.1
C.2
D.3
Evaluation:
We are required to find the equivalent fraction here. When simplifying 16/64, we divide both sides by 16:
16 ÷ 16 = 1
64 ÷ 16 = 4
16/64 in its simplest form is 1/4. When we multiply both the numerator and denominator by 2, we will find that:
1/4 = 2/8
Verification:
To verify this, we can multiply both parts of the fraction by 8:
2 × 8 = 16
8 × 8 = 64
Hence, we know our answer is correct.
How do you determine the relationship between the volume of a rectangular prism and pyramid?
The relationship between the volume of a rectangular prism and pyramid is defined as that the pyramid takes up 1/3 of the volume of a prism.
Here we need to identify the relationship between the volume of a rectangular prism and pyramid.
As we all know that the volume of rectangle prism is written as,
=> Volume of a prism = (area of base) * height
Now, let us consider the volume of a pyramid that the pyramid takes up 1/3 of the volume of a prism when their bases and height are equal.
So, here the volume of a pyramid is 1/3 multiplied by the volume of a prism.
Then we get the volume of pyramid is written as,
Volume of a pyramid = 1/3 (area of the base) * height
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Given:
CD CB CA CE and
Prove:
A E
You may use any style proof you prefer.
The alternate angles between two parallel lines are equal, therefore, ∠ A = ∠ E.
What is rectangle?An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel, opposite sides. Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The rectangle's longer side is its length, while its shorter side is its breadth.
Given:
CD ≅ CB and CA ≅ CE
As you can see from the diagram, on joining BE and AD the figure will represent a rectangle ABED because the diagonals of the rectangle are equal and bisect each other.
Thus, DE || AB (Rectangle property)
∠ A = ∠ E, because the alternate angle of parallel lines is equal.
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The m∠BOD = 46 and the m∠BOC = 26. What is the m∠COD?
The measure of the angle m∠COD is 20 degrees
How to determine the measure of the angle m∠COD?From the question, we have the following parameters that can be used in our computation:
The measures of the angles:
m∠BOD = 46 and m∠BOC = 26.
The measure of the angle m∠COD is the difference between of the above angles
Using the above as a guide, we have the following:
Measure of the angle m∠COD = Difference of angles m∠BOD and m∠BOC
Mathematically, this is represented as
Measure of the angle m∠COD = m∠BOD - m∠BOC
Substitute the known values in the above equation, so, we have the following representation
Measure of the angle m∠COD = 46 - 26
Evaluate the difference
Measure of the angle m∠COD = 20
Hence, the angle is 20 degrees
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12 pencils cost 1.80 pounds. How many pencils can be bought for 6 pounds?
Answer:
Step-by-step explanation:i think to answer is either 90p or 9p
Answer:
90p or 9p
Step-by-step explanation:
Determine the domain and range for the function below.
Answer:
Domain: (-∞, ∞); Range: [1, ∞)
Step-by-step explanation:
Domain is the set/interval of x-values that the function spans while the range is the set or interval of y-values that the function spans.
Domain
We can see that the arrows point towards negative and positive infinity for x and also see there are no holes or asymptotes for this graph. Therefore, the domain is (-∞, ∞) or {x | x is any real number}
Range
We can see that the arrows both point towards infinity for y-values and that the lowest y-value this graph touches is y = 1 (inclusive, meaning this y-value is included in the range). Thus, the range is [1, ∞) or {y | y ≥ 1}
What is the measurement of angle cbd
Given that:
Angle CBD=6x-40
Angle BFH=4x
From the given diagram, angle CBD=angle BFH ("corresponding angles")
Therefore 6x-40=4x,
6x-4x=40,
2x=40,
x=20
now Angle CBD= 6(20)-40
= 80
Algebra II 5.02: Solve Radical Equations
Radical Equations
Step 1
To demonstrate how to solve a radical equation, let's use the following equation as an example:
Question 4 (1 point)
What is the product? (6.28x10^3) x 10,000
62,800
6,280,000
6,280
62,800,000
62,800,000 is the product of (6.28 x 10^3) x 10,000.
What is the product?It refers to the result of one or more multiplications.
Given number is (6.28 x 10^3) x 10,000.
6.28 x 10^3 = 6280
Therefore, 6280 x 10,000 = 628,000,00
Hence, the product of (6.28 x 10^3) x 10,000 is 628,000,00.
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g what word is used to say the probability of an adverse outcome? question 12 options: risk variance random statistics none of the above
Risk is used to say the probability of an adverse outcome.
Option (a) (Risk) is the correct choice.
Through risk assessment, businesses, governments, projects, and investors may determine the likelihood that a bad occurrence will have a detrimental effect on their operations.
Risk assessment is crucial for figuring out the value of a particular project or investment and the appropriate process(es) to manage such risks.
Different methods may be used to evaluate the risk and reward tradeoff of a possible investment opportunity using the information provided by risk analysis.
A risk analyst begins by determining what may go wrong.
These drawbacks must be compared to a probability meter that assesses the chance that the event will occur.
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The correct question may be:
What word is used to say the probability of an adverse outcome?
(a) risk
(b) variance
(c) random statistics
(d) None of the above
Bethany collected 200 survey responses regarding recycling behaviors in her city. of those responses, 174 people responded that they participate in the city’s recycling program. use this information to complete the statement. round all answers to the nearest hundredth. the approximate sample proportion is____, which means that %___of the people surveyed do not participate in the city’s recycling program.
Answer:
the approximate sample proportion is 87%, which means that 13% of the people surveyed do not participate in the city’s recycling program.
What is equal to 3 minus square root of eight divided by square root of 3
Answer:
approximately 1.732
Step-by-step explanation:
To solve this expression, we need to start by performing the operations inside the parentheses first. The square root of 8 is equal to 2, so 3 minus 2 is equal to 1. Then, we can divide 1 by the square root of 3, which is equal to approximately 1.732. Therefore, the expression 3 minus square root of eight divided by square root of 3 is equal to approximately 1.732.