Answer:
The answer is 14cm^3
Step-by-step explanation:
Give the formulas for average fixed cost (AFC), marginal cost (MC), average variable cost (AVC), and average cost (AC) if the cost function is: C=6+8q. Average fixed cost is: AFC= Marginal cost is: MC= Average variable cost is: AVC= Average cost is: AC= 1.) Use the line drawing tool to draw the marginal cost curve. Label this line 'MC'. 2.) Use the 3-point curved line drawing tool to draw the average cost curve for quantities q=1. q=2, and q=3. Label this curve 'AC'.
Use the 3-point curved line drawing tool to draw the average cost curve for quantities q = 1, q = 2, and q = 3. Connect these points smoothly to form the average cost curve.
To calculate the formulas for average fixed cost (AFC), marginal cost (MC), average variable cost (AVC), and average cost (AC) based on the cost function C = 6 + 8q, we can use the following equations: Average Fixed Cost (AFC): AFC = Total Fixed Cost (TFC) / Quantity (q). Since the cost function C = 6 + 8q does not have any fixed cost component, AFC would be zero. Marginal Cost (MC): MC = Change in Total Cost (ΔTC) / Change in Quantity (Δq). The cost function C = 6 + 8q has a constant marginal cost of 8. Average Variable Cost (AVC): AVC = Total Variable Cost (TVC) / Quantity (q). Since the cost function C = 6 + 8q does not have any variable cost component, AVC would be the same as MC, which is 8.
Average Cost (AC): AC = Total Cost (TC) / Quantity (q); AC = (Total Fixed Cost + Total Variable Cost) / Quantity; AC = (6 + 8q) / q; AC = 6/q + 8. Now, for the graphical representation: Use the line drawing tool to draw the marginal cost curve, which is a straight line with a slope of 8. Label this line 'MC'. Use the 3-point curved line drawing tool to draw the average cost curve for quantities q = 1, q = 2, and q = 3. Connect these points smoothly to form the average cost curve. Label this curve 'AC'. Please note that the shape and position of the curves will depend on the specific quantities chosen, but the general trend will be a downward-sloping MC curve intersecting the U-shaped AC curve.
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What is the following simplified product? Assume x greater-than-or-equal-to 0 2 StartRoot 8 x cubed EndRoot (3 StartRoot 10 x Superscript 4 Baseline EndRoot minus x StartRoot 5 x squared EndRoot).
This is the simplest form \(4\sqrt{5}x^3(6\sqrt{x} -\sqrt{2})\).
ExponentExponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.
SimplificationSimplification is to make something easier to do or understand and to make something less complicated.
Given
\(\rm 2\sqrt{8x^3} * (3\sqrt{10x^4} - x\sqrt{5x^2} )\) is an expression.
How to make it simple?\(\rm 2\sqrt{8x^3} * (3\sqrt{10x^4} - x\sqrt{5x^2} )\)
On simplifying, we have
\(\rm 4\sqrt{2} (x)^{\frac{3}{2}} * ( 3\sqrt{10} x^2 - \sqrt{5} x^{\frac{3}{2}})\\\\24\sqrt{5} x^{\frac{7}{2}} - 4\sqrt{10}x^3\\\\4\sqrt{5}x^3(6\sqrt{x} -\sqrt{2} )\\\)
This is the simplest form \(4\sqrt{5}x^3(6\sqrt{x} -\sqrt{2})\).
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PLEASE HELP 5. Find the distance of the line segment joining the two points: (2,0) (0,-2)
Answer:
I would think 2 for my answer
first come first served
Answer:
10. 32 mpg
12. 5 1/3 grams = 1 serving
14. 0.8 cent per can
16. 1/2 kg = 1 foot
18. 8 7/10 meters in 1 hour
Step-by-step explanation:
10. 256/8=32
12. if 4=3/4 then ?=4/4. to find 1/4 divide both by 3, 3/4 divided by 3 = 1/4, 4 divided by 3=1 1/3. then to find 4/4 multiply both by 4, 1/4x4=4/4, 1 1/3x4=5 1/3 so 5 1/3=1
14. 4.8/0.6=0.8
16. if 1/3=2/3 then ?=3/3. to find 1/3 divide both by 2, 2/3 divided by 2=1/3, 1/3 divided by 2 = 1/6. then to find 3/3 multiply both by 3, 1/3x3=3/3, 1/6x3=1/2
18. if 21 3/4=2 1/2 then ?=2/2. to find 1/2 divide both by 5, 2 1/2 divided by 5=1/2, 21 3/4 divided by 5 = 4 7/20. then to find 2/2 multiply both by 2, 1/2x2=2/2, 4 7/20x2=8 7/10
Combine like terms to simplify the expression below.
14x -(2x - y) - y
A 12x B 14x -y C 12x - y D 14x
Answer:
The answer is A: 12x Hope this helps!
A student is investigating pairs of triangles that have congruent corresponding angles. The student claims that for such a pair of triangles, a sequence of rigrid motion carries one triangle to the other since the triangles are congruent. Which statement best describes the students claim
Answer:
The claim is only true if the triangles have congruent sides, since the definition of congruence requires congruent angles and sides.
Step-by-step explanation:
What is a fraction form of $1.80?
Answer:Okay, so the first thing to do here is show you that any number can be a fraction if you use a 1 as the denominator. Take a look:
1.80
1
What we really want to do though, is get rid of the decimal places completely so that the numerator in our fraction is a whole number. To do this, we have to count the numbers after the decimal point, which in this case is 80.
To get a whole fraction we need to multiply both the numerator and the denominator by 10 if there is one number after the decimal point, 100 if there are two numbers, 1,000 if it's three numbers and 10,000 if it's...well, you get the idea!
In our case 80 is 2 digits long so we need to multiply the numerator and denominator by 100.
Now we just need to do that multiplication to get our whole fraction:
1.80 x 100
1 x 100
=
180
100
The next step is to simplify this fraction and, to do that, we need to find the greatest common factor (GCF). This is sometimes also known as:
Greatest Common Divisor (GCD)
Highest Common Factor (HCF)
Greatest Common Denominator (GCD)
The GCF can be a bit complicated to work out by hand but you can use our handy GCF calculator to figure it out.
In the case of 180 and 100, the greatest common divisor is 20. This means that to simplify the fraction we can divide by the numerator and the denominator by 20 and we get:
180/20
100/20
=
9
5
And there you have it! In just a few short steps we have figured out what 1.80 is as a fraction. The complete answer for your enjoyment is below:
1 4/5
Note: because 180 is greater than 100 we have simplified this fraction even further to a mixed fraction.
Step-by-step explanation:
HEEEEEEEEELP IM TIMED!!! Which is the largest ratio? StartFraction 5 Over 36 EndFraction, 2:9, 3 to 18, 1:3 StartFraction 5 Over 36 EndFraction 2:9 3 to 18 1:3
Answer:
i t is 1:3 i got it on my edgen test
Step-by-step explanation:
Which of the following is a true statement about the triangles on the graph? The slope of the smaller triangle is smaller than the slope of the larger triangle. The slope of the smaller triangle is smaller than the slope of the larger triangle. The slope of the larger triangle is larger than the slope of the smaller triangle. The slope of the larger triangle is larger than the slope of the smaller triangle. The triangles are congruent triangles. The triangles are congruent triangles. The slopes of the two triangles are the same.
Answer:the slope of smaller triangle
Step-by-step explanation:
You are selling pizza for a fundraiser. Slices of cheese sell for $1.50 a slice. Pepperoni sells for $2 a slice. End of an hour you have collected $30. You sold 9 slices of pepperoni. How many slices of cheese did you sell? Label answer
What we know:
Pepperoni is $2 ea
Cheese is $1.50 ea
We collected $30, We sold 9 slices pepperoni
9x$2= $18. Subtract this amount from the total amount earned $30, you have $12 left
Divide $12 by $1.50 cheese slice = 8 slices sold
A= 8
José paid $47.00 for 4 movie tickets. Each ticket cost the same amount. What was the cost of each movie ticket in dollars and cents?
a hockey team earns 2 points for a win,1 point for a tie, and 0 points for a loss. the number of points earned can be calculated using this formula
P = 2x + y where P = number of points
x = number of wins
y = number of ties
How many points would a team earn if they played 52 games, won 24 and lost 19?
Answer: 57
Step-by-step explanation: First add the won and lost games then subtract the sum from the total games played to determine how many games were tied. Then take the won games and multiply them by 2, take the tied games, and add them together to get your answer: 57.
Please help with this
Answer:
1, 2, 3, 6, 9, 18, 27, 54
Step-by-step explanation:
If a person is asked to respond to a picture that could be described in many different ways, then
If a person is asked to respond to a picture that could be described in many different ways, it allows for subjective interpretation and personal perspective.
The individual's response may vary depending on their unique experiences, cultural background, and personal preferences. This open-ended nature of the question encourages creativity and individual expression.
It also provides an opportunity for diverse and varied responses, as different people may focus on different aspects or details of the picture that resonate with them.
By allowing multiple possible descriptions, the person's response can provide insights into their thought processes, creativity, and ability to perceive and interpret visual stimuli.
It can also spark discussions and conversations as individuals share and compare their different interpretations and perspectives.
Overall, this approach encourages individuality and recognizes the richness and complexity of human perception and expression.
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please hurry. Find the area of the rectangle. 7n^2 + 3n 2n^3
Area of a rectangle = Width * Length
In our problem,
width = 2n^3
length = 7n^2 + 3n
Area = 2n^3 (7n^2 + 3n)
Distribute the 2n^3
Area = 14n^5 + 6n^4
The required, area of the given rectangle is given as 14n⁵ + 6n⁴.
What is a rectangle?The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.
What is the area of the rectangle?The area of a rectangle is the product of the length and width of the rectangle.
Here,
In the question, we are given,
length = 7n² + 3n
width = 2n³
Area of the rectangle = length × width
Area of the rectangle = 7n² + 3n × 2n³
Area of the rectangle = 14n⁵ + 6n⁴
The required, area of the given rectangle is given as 14n⁵ + 6n⁴.
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Increasingly, developers are using tools that can quickly create screen mockups, referred to as element. A) Protoypes B) Wireframes C) Forms D) Reports
Increasingly, developers are using tools that can quickly create screen mockups, referred to as element Wireframes
Wireframes:Wireframes is a type of tool which is allow designers to quickly and effectively mock up an outline of a design as easily as possible. Designers easily drag the images and drop to placeholder images , header and content also.
There are three types of wireframes, which is very useful :
Low-fidelity wireframes.Mid-fidelity wireframes.High-fidelity wireframes.Wireframes generally is used for visual designer, developer, business analysts, user experience designers and information architecture and user research.
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ILL GIVE BRAINLIEST I NEED STEP BY STEP EXPLANATION PLZ ITS PAST DUE
Answer:
Answer is given in the attachment
hope it's helpful!!
How to find a quadratic equation with y-intercept and vertex? Explain with examples.
To find a quadratic equation with the y-intercept and vertex, follow these steps: identify the coordinates of the y-intercept and vertex, substitute them into the general form of the quadratic equation, solve for the coefficients, and substitute the coefficients back into the equation. For example, if the y-intercept is (0, 3) and the vertex is (-2, 1), the quadratic equation would be y = x^2 + x + 3.
To find a quadratic equation with the y-intercept and vertex, we can follow these steps:
Step 1: Identify the coordinates of the y-intercept. The y-intercept has the form (0, c), where c is the y-coordinate.Step 2: Identify the coordinates of the vertex. The vertex has the form (-b/2a, f(-b/2a)), where a, b, and c are the coefficients of the quadratic equation.Step 3: Substitute the coordinates of the y-intercept and vertex into the general form of the quadratic equation, y = ax^2 + bx + c.Step 4: Solve the resulting system of equations to find the values of a, b, and c.Step 5: Substitute the values of a, b, and c back into the general form of the quadratic equation to obtain the final equation.For example, let's say the y-intercept is (0, 3) and the vertex is (-2, 1). We can substitute these coordinates into the general form of the quadratic equation:
3 = a(0)^2 + b(0) + c
1 = a(-2)^2 + b(-2) + c
Simplifying these equations, we get:
c = 3
4a - 2b + c = 1
By substituting c = 3 into the second equation, we can solve for a and b:
4a - 2b + 3 = 1
4a - 2b = -2
2a - b = -1
By solving this system of equations, we find a = 1 and b = 1. Substituting these values back into the general form of the quadratic equation, we obtain the final equation:
y = x^2 + x + 3
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To find a quadratic equation with a given y-intercept and vertex, you need the coordinates of the vertex and one additional point on the curve.
Start with the standard form of a quadratic equation: y = ax^2 + bx + c, where a, b, and c are constants.Use the vertex form of a quadratic equation: y = a(x - h)^2 + k, where (h, k) represents the coordinates of the vertex.Substitute the vertex coordinates (h, k) into the equation to obtain the equation in vertex form.Use the y-intercept to find another point on the curve. The y-intercept has the form (0, c), where c is the value of y when x is zero.Substitute the coordinates of the additional point into the equation to obtain a system of two equations. Solve the system to find the values of a, b, and c.Substitute the determined values of a, b, and c into the standard form of the quadratic equation to obtain the final equation.Example:
Suppose we want to find a quadratic equation with a y-intercept of (0, 4) and a vertex at (2, -1).
Using the vertex form, we have y = a(x - 2)^2 - 1.Substituting the y-intercept coordinates, we get 4 = a(0 - 2)^2 - 1, which simplifies to 4 = 4a - 1.Solving the equation above, we find a = 1.Substituting the values of a and the vertex coordinates into the vertex form equation, we have y = 1(x - 2)^2 - 1.Expanding the equation and simplifying, we get y = x^2 - 4x + 3.The final quadratic equation with the given y-intercept and vertex is y = x^2 - 4x + 3.To find a quadratic equation with a given y-intercept and vertex, you can use the vertex form of a quadratic equation and substitute the coordinates to obtain the equation. Then, use the y-intercept to find an additional point on the curve and solve a system of equations to determine the coefficients. Finally, substitute the coefficients into the standard form of the quadratic equation to get the final equation.
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the lowest elevation in california in 282 ft below sea levle the highest elevation is 14,494 feet what if the diffrence in the highest and lowst evelavtion
Answer:
the difference is 14776
Step-by-step explanation:
Answer: The difference is 14776 feet.
Step-by-step explanation:
To find the difference, use subtraction, but remember that subtracting a negative is like adding a positive.
14494 -(-282)= 14776
True or False: If there is a correlation between two variables A and B, it may be because A causes B, or because B causes A, but it cannot be both
False. No causality can be inferred from a correlation between two variables.
What is correlation between two variables?A and B may both be caused by one another, or both may be caused by an unforeseen factor (confounding factor). Through experiments and causal inference methods like regression analysis with control variables, the direction of causality can be ascertained. As causality is crucial in many domains, like health and policy-making, where the objective is to discover causal linkages in order to make informed decisions, it is necessary to take into account the direction of causality when analysing correlations. It is essential to carefully plan tests, account for confounding variables, and take into account additional data from other sources in order to evaluate causality accurately.
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Fill in the missing values for this ANOVA summary table:
S. S. D. F. M. S. F
Between 1. 256
Within 2461 107
TOTAL 27
Use the =FDIST(∙) function in Excel or the pf(∙) function in R to locate the p-value for this ANOVA:
p-value =
Report answer accurate to at least 4 decimal places
To fill in the missing values in the ANOVA summary table, we need to calculate the values based on the given information.
The missing values are:
To calculate the missing values:
1. S.S. (Sum of Squares) for Between:
Since the total S.S. is given as 27 and the S.S. for Within is 2461, we can subtract the Within S.S. from the Total S.S. to obtain the S.S. for Between:
S.S. Between = Total S.S. - Within S.S. = 27 - 2461 = -2434
2. D.F. (Degrees of Freedom) for Between:
The D.F. for Between is equal to the number of groups minus 1. The number of groups is not provided in the table, so we cannot determine the D.F. for Between.
3. F (F-value):
The F-value can be calculated by dividing the M.S. for Between by the M.S. for Within:
F = M.S. Between / M.S. Within = 1.256 / 107 = 0.0118 (rounded to 4 decimal places)
To locate the p-value for this ANOVA, we can use statistical software such as Excel or R. In Excel, we can use the FDIST(∙) function, while in R, we can use the pf(∙) function.
Using Excel:
p-value = 1 - FDIST(F, D.F. Between, D.F. Within) = 1 - FDIST(0.0118, D.F. Between, 107)
Using R:
p-value = 1 - pf(F, D.F. Between, D.F. Within, lower.tail = TRUE) = 1 - pf(0.0118, D.F. Between, 107, lower.tail = TRUE)
Since the Degrees of Freedom for Between is not provided, we cannot calculate the p-value accurately. The p-value depends on the specific Degrees of Freedom for Between.
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Josiah has a triangular-shaped property that measures 48 m by 59 m by 85 m. Find the area of this land in square metres. Express your answer as a mixed radical in simplist form. Show your work below
The area of the triangular-shaped property is 16√(2565805) square meters, expressed as a mixed radical in simplest form.
To find the area of a triangle, we can use Heron's formula. Heron's formula states that for a triangle with side lengths a, b, and c, the area (A) can be calculated as:
A = √(s(s - a)(s - b)(s - c))
where s is the semi-perimeter of the triangle, given by:
s = (a + b + c) / 2
In this case, the side lengths of the triangle are given as 48 m, 59 m, and 85 m. We can calculate the semi-perimeter first:
s = (48 + 59 + 85) / 2
s = 192 / 2
s = 96
Using Heron's formula, we can find the area (A):
A = √(96(96 - 48)(96 - 59)(96 - 85))
A = √(96(48)(37)(11))
Now we simplify the expression under the square root:
A = √(161280(4071))
A = √(656846080)
To express the answer as a mixed radical in simplest form, we can break down the number under the square root:
A = √(656846080)
A = √(16 * 41052880)
A = √(16 * 16 * 2565805)
A = 16 * √(2565805)
Therefore, the area of the triangular-shaped property is 16√(2565805) square meters, expressed as a mixed radical in simplest form.
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What letter on this number line represents -(3/2)?
Answer:
B
Step-by-step explanation:
- 3/2 is - 1.5 , and B is - 1.5
a negative correlation means that decreases in the x variable tend to be accompanied by decreases in the y variable.
A negative correlation means that as the x variable decreases, the y variable tends to decrease as well. In other words, there is an inverse relationship between the two variables.
A negative correlation indicates that when the value of one variable decreases, the value of the other variable also tends to decrease. It implies an inverse relationship between the two variables. For example, if we consider the variables "temperature" and "ice cream sales," a negative correlation would mean that as the temperature decreases, the sales of ice cream also tend to decrease.
To determine the strength of a negative correlation, we can calculate the correlation coefficient, often denoted by "r." The correlation coefficient ranges from -1 to +1, with -1 indicating a perfect negative correlation. The closer the value of "r" is to -1, the stronger the negative correlation between the variables.
In summary, a negative correlation suggests that as the x variable decreases, the y variable tends to decrease as well. It signifies an inverse relationship between the two variables. The strength of the negative correlation can be measured using the correlation coefficient, where values closer to -1 indicate a stronger negative correlation.
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What is the value of Arc cosine (negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction)?
StartFraction pi Over 6 EndFraction
StartFRaction pi Over 4 EndFraction
StartFraction 3 pi Over 4 EndFraction
StartFraction 5 pi Over 6 EndFraction
The value of arccos(-√3/2) is 5π/6.
In the given question,
We have to find the value of \(arccos(-\frac{\sqrt{3}}{2})\).
The given term is \(arccos(-\frac{\sqrt{3}}{2})\).
We using the quadrant rule.
The value is in negative so we check in which quadrant the value of cos negative.
As we now that in second quadrant only the value of sine and cosine is positive and all value are negative.
The second quadrant of 180 degree or we can also write 180 degree as π.
From the trigonometry table we know that at 30 degree or (π/6) the value of cos is √3/2.
So the value of cos at which -√3/2 is
-√3/2 = cos(π - π/6)
-√3/2 = cos(π×6/6 - π/6)
-√3/2 = cos(6π/6 - π/6)
-√3/2 = cos{(6π- π)/6}
-√3/2 = cos 5π/6
So we can write it as
arccos(-√3/2)=arccos(cos 5π/6)
Since there is a arccos and cos both so only left 5π/6.
arccos(-√3/2)=5π/6
Hence, the value of arccos(-√3/2) is 5π/6.
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Answer:
d
Step-by-step explanation:
WILL GIVE BRAINLIST TO BEST ANSWER
Find the value of x that makes lines u and v parallel
Answer:
x = 8
Step-by-step explanation:
If those two given angles equal each other, then u and v are parallel.
7x - 6 = 5x + 10
2x = 16
x = 8
If x = 8, then lines u and v are parallel.
For the tangent line to f(x)=e^x at x=0 to have an error of at most 0.1 in approximating e^h, use your calculator to find h
For the tangent line to f(x)=e^x at x=0 to have an error of at most 0.1 in approximating e^h, value of h is 0.42.
Define tangent.A line that only touches a circle or an ellipse at one point is said to be tangential in geometry. If a line contacts a curve at point P, that point is referred to as the point of tangency. In other words, it is described as the line that, at that particular location, indicates the slope of a curve. A tangent is a line that, although not crossing it, touches the edge of a curve or circle at one point. error is the difference between a genuine value and an estimate, or approximate, representation of that value in practical mathematics. The discrepancy between the mean of the complete population and the mean of a sample taken from that population is a frequent example in statistics.
Given,
Tangent line:
f(x) = eˣ at x = 0
Error of at most 0.1
f'(x) = eˣ
at x = 0 and y = 1
So,
E(x):
= f(x) - f(0) - f'(0) (x -0)
= eˣ - 1 - 1(x-0)
= eˣ - x - 1
= 0.1
For x⇒ h
e^h - h - 1 = 0.1
e^h - h = 1.1
h = 0.42
For the tangent line to f(x)=e^x at x=0 to have an error of at most 0.1 in approximating e^h, value of h is 0.42.
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The diameter of the circle below measures 7 cm.
7 cm
What is the approximate area of the circle?
A. 22 cm
B. 14 cm
C 38 cm2
D 154 cm
Answer:d
Step-by-stedp explanation:
When Savannah's parents are away celebrating their anniversary, she gets to sleepover for a week at her grandparents' house. Afterwards, Savannah decides to make her grandparents a photo album of their time together. There are 9 pages in the album. Savannah puts the same number of photos on each page, for a total of 63 photos.
Answer:
7 photos on each page
Step-by-step explanation:
63/9 = 7
She puts 7 photos on each page.
How much Work is used when 25N of force is done over 100m?
Step-by-step explanation:
we know that
Work =f*d
=25*100
=2500Joule
therefore work done is 2500Joule