The answer of the given question based on the linear model is 5x - 104 and the slope (m) is 5, which represents the profit per plate of baked goods.
What is Slope?Slope is a measure of how steep a line is. It describes the rate at which the line is rising or falling as it moves horizontally across a coordinate plane. The slope of a line is represented by the letter "m" and can be calculated by dividing the change in the vertical coordinate (y) by the change in the horizontal coordinate (x) between any two points on the line. This is often referred as "rise over run".
Let's start with the cost of producing x plates of baked goods, which is equal to the cost of supplies plus any other costs associated with producing the goods. Assuming there are no other costs, the cost of producing x plates of baked goods is:
Cost = 104
Next, let's consider the revenue from selling x plates of baked goods. Since each plate of baked goods sells for $5, the revenue from selling x plates is:
Revenue = 5x
Finally, the profit from selling x plates of baked goods is equal to the revenue minus the cost:
Profit = Revenue - Cost
Profit = 5x - 104
This is the linear model in the form y=mx+b where y represents the amount of profit from the bake sale for selling x number of plates of baked goods. In this case, the slope (m) is 5, which represents the profit per plate of baked goods, and the y-intercept (b) is -104, which represents the fixed cost of $104 for supplies.
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A set of twins purchase a small, oddly shaped plot of land for their retirement. They want to divide the parcel along the grid lines into two identical plots. Can they do it and how?
The ability of the twins to divide the oddly shaped plot into two Identical plots along the grid lines depends on the presence of a line of symmetry.
To determine whether the set of twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need to consider the characteristics of the plot and the conditions required for the division.
For the division to be possible, the plot needs to have a line of symmetry that can be used to create two identical halves. A line of symmetry divides an object into two equal and mirrored parts.
If the plot of land has a line of symmetry, the twins can divide it by drawing a line along the symmetry axis. This line should cut the plot into two equal halves, ensuring that both plots are identical.
However, if the plot does not have a line of symmetry, it may not be possible to divide it into two identical plots along the grid lines. In this case, the twins would need to consider alternative methods of division or compromise on the goal of having two identical plots.
To determine if the plot has a line of symmetry, the twins can examine its shape and characteristics. They can look for any symmetrical patterns, such as equal sides or mirrored shapes, that indicate the presence of a line of symmetry.
If the plot does not have an obvious line of symmetry, the twins might need to explore other options, such as dividing the plot into two equal areas based on other criteria, such as the length or width of each half.
the ability of the twins to divide the oddly shaped plot into two identical plots along the grid lines depends on the presence of a line of symmetry. If such a line exists, they can divide the plot by drawing a line along the symmetry axis. However, if the plot lacks symmetry, they may need to consider alternative methods of division or adjust their expectations.
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Note the full question may be :
To determine whether the twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need more specific information about the shape and dimensions of the plot. the shape of the plot (rectangular, triangular, irregular), the lengths of its sides, any existing grid lines or divisions within the plot.
help I keep getting it wrong
Answer:
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Answer:
What do you need help with?
Step-by-step explanation:
6 + 4|2x + 6| = 14
Solve for x
Answer:
x = -1
Step-by-step explanation:
6+4 = 10
14-10 = 4
2x + 6 = 4
2x (-2) = -2
-2 + 6 = 4
What is the scale Factor
Answer:
The ratio of any two corresponding lengths in two similar. geometric figures.
Step-by-step explanation:
The ratio of any two corresponding lengths in two similar. geometric figures.
Round the height of the cabinet to the nearest centimeters
130.7
Answer:
131
Step-by-step explanation:
if the number to the right of the decimal is lower than 5 it stays the same , but if it is higher then 5 it gets raised to the next number after that .
To rent a moving truck for the day it cost $25 +5 for each mile
Answer:
okkkkkk???
Step-by-step explanation:
Express $15 for 6 gallons of gas as a unit rate.
Answer: 0.4 gallons per dollar
if you roll a pair of dice, what is the probability that both are 3's or that the sum is more than 8
Answer:
11/36
Step-by-step explanation:
We have 36 possible outcomes when rolling a pair of dice.
Only 1 outcome gets both 3's. (3 3)
For the sum to be greater than 8, there are 10 outcomes.
(3 6) (4 5) (4 6) (5 4) (5 5) (5 6) (6 3) (6 4) (6 5) (6 6)
The probability is therefore (1+10)/36=11/36.
Need help asap! please!!
Answer:
41.4
Step-by-step explanation:
A quadratic equation, y = ax^2 - 6x + 10, has exactly one real root. Calculate the value of a.
Answer:
a = 0.9
Step-by-step explanation:
For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.
For the given equation:
\(y = ax^2 - 6x + 10\),
• a = a
• b = -6
• c = 10.
Substituting these values into the formula for discriminant, we get:
\((-6)^2 - 4(a)(10) = 0\)
⇒ \(36 - 40a = 0\)
⇒ \(36 = 40a\)
⇒ \(a = \frac{36}{40}\)
⇒ \(a = \bf 0.9\)
Therefore the value of a is 0.9 when the given quadratic has exactly one root.
a certain forest covers 4400 km^2 suppose that each year this area decreases by 7.25% what will the area be after 6 years?
In accordance with the exponential model, the current forest area is equal to 2801.149 square kilometers after six years.
What forest area shall remain after 6 years?
According with statement, the forest area decreases exponentially in time. Then, the exponential model is defined by following model:
n(x) = n' · (1 - r)ˣ
Where:
n' - Initial forest area, in square kilometers.r - Grown rate.x - Time, in years.If we know that n' = 4400 km², r = 0.0725 and x = 6 yr, then the current forest area is:
n(6) = 4400 · (1 - 0.0725)⁶
n(6) = 2801.149
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Find the mean, median, mode, and range for this set of numbers:
14, 12, 7, 13, 6, 8
Answer:
In explanation
Step-by-step explanation:
Your mean=10
Median=10
Your mode is all of these numbers because none of them was in here more than once.
Your range would be 8 because range is highest number subtract lowest number so 14 is highest and 6 is lowest whats 14-6=8
Using diagonals from a common vertex, how many triangles could be formed from the polygon pictured below?
Answer:
i can help you
Step-by-step explanation:
mabey its hard for you
Angle ADB and CD are straight lines. angle ADC = 5 x angle CDB Work out the size of angle ADC.
Answer:
Step-by-step explanation:
Trigonometry: Measure tal Excel In Opt. Mathematics - Book 9 ) If the number of degrees of a certain angle added to the number of gra same angle is 152, find the angle in degrees.
The angle in degrees is 873.1843.
Let the measure of the angle be θ in degrees. Therefore, the measure of the same angle in gradians is (θ × π/180).
According to the given information, the number of degrees of a certain angle added to the number of gradians of the same angle is 152.(θ) + (θ × π/180) = 152.
Simplifying the above equation, we get:(θ) + (θ/180 × π) = 152.
Multiplying both sides of the equation by 180/π, we get:
θ + θ = (152 × 180)/π2θ = (152 × 180)/πθ = (152 × 180)/(3.14)θ = 873.1843
Thus, the angle in degrees is 873.1843.
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What’s the distance between 15,-17 and -20, -5
The distance will be in the decimal form is :41.34
Pythagoras Theorem Formula:Consider the triangle :
Where “a” is the perpendicular,
“b” is the base,
“c” is the hypotenuse.
According to the definition, the Pythagoras Theorem formula is given as:
\(Hypotenuse^2 = Perpendicular^2 + Base^2\)
\(c^2 = a^2 + b^2\)
We have the points are:
15,-17 and -20, -5
To find the distance between them.
The distance of x- axis is:
15 - (-20)
= 15 + 20
= 35
The distance of y- axis is:
|17 - 5| = |-22| = 22
We can now use the Pythagorean theorem (a²+b²=c²) with our imaginary triangle:
\(x^2+y^2=(distance)^2\)
\(35^2+22^2=distance^2\)
\(1709= distance^2\\Distance = \sqrt{1709}\)
In decimal form the distance would be around 41.34.
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Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
A. √2:2
B. √√3:√√3
C. √5:3
D. 1 √3
□ E. 1: √2
O F. 2:3
SUBMIT
Answer: E
Step-by-step explanation:
Show two ways fivepeople cans hare a 3-segmant chewy fruit worm
Answer:
ethethe
Step-by-step explanation:
thethetht
The distribution of sample means consists of the____________ of all the possible ___________, __________ of a specific ___________ from a specific population.
Answer:
The distribution of sample means consist of the set of means of all the possible random samples of a specific size(n) from a specific population
Use linear approximation, i.e. the tangent line, to approximate 3√ 125.2 as follows: Let f(x)=√x. The equation of the tangent line to f(x) at x = 125 can be written in the form
y=mx+b
Using linear approximation, the expression √125.2 can be approximated as approximately 10.02.
How to find linear approximation?To find the equation of the tangent line to the function f(x) = √x at x = 125, determine the slope (m) and the y-intercept (b) of the tangent line.
First, find the slope (m) using the derivative of the function f(x) = √x:
f'(x) = 1 / (2√x)
Evaluate the derivative at x = 125:
f'(125) = 1 / (2√125) = 1 / (2 × 5) = 1/10
Now, find the y-coordinate of the point on the function f(x) at x = 125:
f(125) = √125 = 5
So, the tangent line at x = 125 passes through the point (125, 5) and has a slope of 1/10.
Using the point-slope form of a linear equation, the equation of the tangent line can be written as:
y - 5 = (1/10)(x - 125)
To simplify, multiply through by 10:
10y - 50 = x - 125
Rearranging the equation, express it in the form y = mx + b:
y = (1/10)x - 75/10 + 5
Simplifying further:
y = (1/10)x - 75/10 + 50/10
Combining the terms:
y = (1/10)x - 25/10
Therefore, the equation of the tangent line to f(x) = √x at x = 125 is y = (1/10)x - 25/10.
Now, use this tangent line to approximate the value of √125.2:
Substitute x = 125.2 into the equation:
y = (1/10)(125.2) - 25/10
y = 12.52 - 2.5
y ≈ 10.02
So, using linear approximation, approximate √125.2 as approximately 10.02.
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Translate the triangle.
Then enter the new coordinates.
A(-3,4)
C(-4,1)
<7,4>
B(0, 1)
A'(4,8)
B'([?], [])
C'( [], [])
Enter
After translating the triangle, the new coordinates include the following:
A' (4, 8)
B' (7, 5)
C' (3, 5)
What is a translation?In Mathematics and Geometry, the translation of a geometric figure or graph to the right simply means adding a numerical value to the value on the x-coordinate of the pre-image;
g(x) = f(x + N)
By translating the pre-image of this triangle vertically upward by 4 units and horizontally right by 7 units, the new coordinates of the image include the following:
(x, y) → (x + 7, y + 4)
A (-3, 4) → (-3 + 7, 4 + 4) = A' (4, 8)
B (0, 1) → (0 + 7, 1 + 4) = B' (7, 5)
C (-4, 1) → (-4 + 7, 1 + 4) = C' (3, 5)
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In a certain video game, there is a mini-game where the main character can choose from a selection of twenty
presents. The presents are wrapped, so the character does not know what is in them. If 7 presents contain money, 3
presents contain gems, 6 presents contain ore, and 4 presents contain fish, what is the probability that the main
character does not choose a present that contains a gem?
Your answer should be an exact decimal value.
The probability of randomly selecting a present that does not contain a gem is
Answer:
There are a total of 20 presents, and 3 of them contain gems. Therefore, there are 20 - 3 = 17 presents that do not contain gems.
The probability of randomly selecting a present that does not contain a gem is 17/20 = 0.85 or 85%.
hope it helps you...
Is 0.6 a rational number
Answer:
The decimal 0.6 is a rational number. It is the decimal form of the fraction 6/10.
Answer:
Yes. 0.6 is a rational number.
I'll give brainliest if you answerrr! A seesaw is in balance when a weight times its distance on one side of the fulcrum is equal to another weight times its distance on the other side of the fulcrum. In the diagram, the 20-lb. weight is 5 feet from the fulcrum and another weight is 8 feet from the fulcrum. Using the in-balance seesaw shown, find the number of pounds in the weight represented by N.
Answer:
12.5
Step-by-step explanation:
The 20 lbs on the left side time the 5 feet is equal to 100.
You need the weight on the right side to equal 100 when it is multiplied to it's length from the fulcrum, which is 8.
All you need to do is divide 100 by 8, to get 12.5.
A chambered nautilus is a marine animal that lives in the outermost chamber of its shell
The chambered nautilus is a fascinating marine animal that belongs to the family of cephalopods.
It is notable for its unique, spiral-shaped shell that is divided into a series of chambers.
The nautilus lives in the outermost chamber of its shell, which it can control by adjusting the amount of gas and fluid inside it. This allows the nautilus to regulate its buoyancy and move up or down in the water column.
The nautilus has been around for millions of years and is sometimes called a "living fossil" because of its ancient lineage.
Unfortunately, due to overfishing and habitat destruction, many species of nautilus are now endangered.
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The given question is incomplete, the complete question is:
A chambered nautilus is a marine animal form which family?
The following table shows the profit rates for Nike and Adidas
Nike -2 (x - 2)
Adidas -17 + x
If x represents the number of shoes purchased, how many shoes have to be purchased until both companies earn the same amount? Create and solve the equation.
The number of shoes that have to be purchased until both companies earn the same amount is 21.
How to calculate the number of shoes?Based on the information, the profit rates for Nike and Adidas are illustrated as:
Nike -2 (x - 2)
Adidas -17 + x
In this case, x represents the number of shoes purchased,
The number of shoes that have to be purchased until both companies earn the same amount will. be:
2(x - 2) = 17 + x.
2x - 4 = 17 + x
2x - x = 17 + 4
x = 21
The number of shoes will be 21.
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In alana's math class there are 12 boys and 13 girls. What is the ratio of boys to girls?
A. 12/13. B 13/12. C. 12/25. D. Both A and B
Answer:
Its A
Step-by-step explanation:
bc there are 12 boys and 13 girls so the ratio of boys to girls is 12:13.
Find the coordinates of the midpoint M and the distance between L(-4,5) and N(5,-3). Round to the nearest tenth, if necessary.
Answer:
Step-by-step explanation
x1 = X sub-one, y1 = Y sub-one, x2 = x sub-two, y2 = y sub-two
Midpoint Formula
M (x1 + x2/2, y1 + y2)/2)
-4 = x1, 5 = y1 and 5 = x2, -3 = y2
L(-4,5) and N (5,-3)
-4 + 5/2 = 1/2 or 0.5
5 + (-3)/2 = 2/2 = 1
Midpoint : (1/2, 1)
For the function: f (x y) = arctan(xy )/ ( x - y ) , find: a. b. c. x
The required value of the given function are, as follows:
\(f_x\) = [ y(x-y)/(1 + x²y²) - arc tan(xy) ] / (x-y)²
\(f_y\) = [x(x-y)/ (1 +x²y²) + arc tan(xy)] / (x-y)²
What are the functions?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
The given function is as follows:
f(x,y) = arc tan (xy) / (x-y)
We know that derivative of arc tan(x) = 1/(1+x²)
To differentiate arctan(xy), we use the chain rule:
U/V = V U' - U V' / V²
f(x,y) = arc tan (xy) / (x-y)
a)
\(f_x\) = derivative with respect to 'x' and we get:
\(f_x\) = (x-y) * [1/(1+(xy)²) ]y - arc tan(xy) 1 / (x-y)²
\(f_x\) = [ y(x-y)/(1 + x²y²) - arc tan(xy) ] / (x-y)²
b)
\(f_y\) = derivative of f(x,y) with respect to 'y' and we get:
\(f_y\)= (x-y) * [1/(1+(xy)²) ]*x - arc tan(xy) *(-1) / (x-y)²
\(f_y\) = [x(x-y)/ (1 +x²y²) + arc tan(xy)] / (x-y)²
Thus, the required value of the given function are, as follows:
\(f_x\) = [ y(x-y)/(1 + x²y²) - arc tan(xy) ] / (x-y)²
\(f_y\) = [x(x-y)/ (1 +x²y²) + arc tan(xy)] / (x-y)²
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The complete question as follows:
For the function: f (x y) = arctan(xy )/ ( x - y ) ,
Find
a. \(f_x\)
b. \(f_y\)
Among various populations of plants or animals, diseases spread exponentially. Use the function y = 8000(1 - e^-0.03t) to model the spread of Common Corn Rust through a field of 8000 corn plants, with t equal to the number of days since the first case of the disease. How many plants will be infected with Common Corn Rust after 10 days?
Answer:
It's 2073 on edge2020
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
on edge 2020