Answer:
b (-3,13)
Step-by-step explanation:
simplify the equation into slope intercept form (y=mx+b) and then graph it
George is putting trim around his rectangular deck, including the gate. He will need 40 feet of trim to do the entire deck. if the deck is 12 feet long, how wide is the deck
The width of the deck given that the entire deck needs 40 feet to trim is 8 feet
How to determine how wide the deck isLet's assume the width of the rectangular deck is "w".
The perimeter of the deck can be calculated by using the formula: P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
Here, the length of the deck is given as 12 feet.
So, P = 2(12 + w)
We also know that the total trim required is 40 feet.
So, P = 40 feet
Equating both the expressions for P, we get:
2(12 + w) = 40
Simplifying the equation, we get:
24 + 2w = 40
2w = 16
w = 8
Therefore, the width of the deck is 8 feet.
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the diameter of a circle is 18in find its area to the nearest tenth
Answer:
approximately 254.5
btw area of circle= pi multiplied by radius
Step-by-step explanation: I got you bro
Answer: Circle area = π * r² = π * 81 [inch²] ≈ 254.47 [in²]
but because it asks for nearest tenth
254.5 in²
this is your real answer
For the dashed graph, describe the key features.
Maxima or Minima?……..
Number of solutions:………..
Solution(s)?…………
The width is Wider? Or Narrower?
than the graph of f(x)? (solid).
The key features of the dashed graph are
Minima at (4, 3)No solution andWidth is narrower than graph of f(x)What is a graph?A graph is a pictorial representation of a function
To describe the key features of the dashed graph, we proceed as follows.
First, we notice that the dashed graph has a lowest point or vertex. This is at (4, 3). So, this is its minima at (4,3).Also, the dashed graph does not cut the x-axis, so, it has no solutionFinally, we can see that the dashed graph is narrower than the other undashed graphedSo, the key features of the dashed graph are
Minima at (4, 3)No solution andWidth is narrower than graph of f(x)Learn more about graph here:
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What next three numbers come in this sequence 1/4, 1/2, 3/4
Answer:
4/4, 1 1/4, 1 1/2, 1 3/4
Step-by-step explanation:
It moves by fourths so it goes 1/4, 2/4, 3/4, and so on.
Hope This Helps :)
4/4, 5/4, and 6/4 will come in the given sequence of the pattern.
What is the pattern?A pattern is a specific arrangement of numbers or any term which will follow a specific code or hint.
The hint which is present in a given pattern hides in the pattern only.
For example 2,4,6,8 in this, the difference between any two-term is only 2 and this will be its specific pattern.
Another example is 2,4,16,256 in this pattern each term is the square of the previous term and this will become its specific pattern.
Given the pattern,
1/4, 1/2, 3/4
Now if we look then we will get to know that if we add 1/4 consecutively then the next term will come.
For example
1/4 + 1/4 = 1/2
1/4 + 1/4 + 1/4 = 3/4
So,
The next three terms will be
4/4,5/4 and 6/4.
Hence "4/4, 5/4, and 6/4 will come in the given sequence of the pattern".
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Magic Realm, Inc., has developed a new fantasy board game. The company sold 15,000 games last year at a selling price of $20 per game. Fixed costs associated with the game total $182,000 per year, and variable costs are $6 per game. Production of the game is entrusted to a printing contractor. Variable costs consist mostly of payments to this contractor.
Required:
1) Prepare a contribution format income statement for the game last year and compute the degree of operating leverage.
2) Management is confident that the company can sell 18,000 games next year (an increase of 3,000 games, or 20%, over last year).
Compute:
a) The expected percentage increase in net operating income for next year.
b) The expected total dollar net operating income for next year.
The expected total dollar net operating Income for next year = $70,000
1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:
Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000
Variable expenses (15,000 × $6) = $90,000
Contribution margin = $210,000
Fixed expenses = $182,000Net operating income = $28,000
Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)
The expected percentage increase in net operating income for next year:
The expected sales in next year = 18,000
games selling price per game = $20
Therefore, Total sales revenue = 18,000 × $20 = $360,000
Variable expenses = 18,000 × $6 = $108,000
Fixed expenses = $182,000
Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses
= $360,000 – $108,000 – $182,000= $70,000
The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%
The expected total dollar net operating income for next year = $70,000
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somone pls help me
Answer:
14800 sq yd
Step-by-step explanation:
145+225=370
370÷2=185
185x80=14,800
write the english phrase as an algebraic expression. Let x represent the number
The english phrase "Seven less than four times a number" as an algebraic expression is 4x - 7
Writing the english phrase as an algebraic expressionFrom the question, we have the following parameters that can be used in our computation:
seven less than four times a number
Represent the number with x
So:
four times a number means 4x
So, we have
seven less than 4x
seven less than means - 7
So, we have
4x - 7
Hence, the english phrase as an algebraic expression is 4x - 7
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Complete question
write the english phrase as an algebraic expression. Let x represent the number
Seven less than four times a number
Enter your answer in the box. Round your final answer to the nearest degree. B 6cm, A 8cm, C
The measure of Angle C is approximately 26°.
A, B, C are vertices of a triangle, where AB = 8 cm, BC = 6 cm. To determine the measure of angle C, we need to use the cosine rule.
The cosine rule states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.
Mathematically, we can represent it as follows:a² = b² + c² - 2bc cos(A)where a is the side opposite to angle A, b is the side opposite to angle B, c is the side opposite to angle C.
In this case, we have AB = c = 8 cm, BC = a = 6 cm, and AC = b. We need to find the measure of angle C, which is represented as cos(C).
Using the cosine rule, we can write the equation as follows:$$\begin{aligned} b^2 &= c^2 + a^2 - 2ca\cos(C) \\ \Right arrow b^2 &= 8^2 + 6^2 - 2 \times 8 \times 6 \cos(C) \\ \Right arrow b^2 &= 64 + 36 - 96 \cos(C) \\ \Right arrow b^2 &= 100 - 96 \cos(C) \end{aligned}$$We know that b is a positive length. Hence, b² > 0 or 100 - 96 cos(C) > 0. Solving for cos(C),
we get: cos(C) < 100/96cos(C) < 1.0417Using a calculator, we can determine the inverse cosine of 1.0417 as:cos⁻¹(1.0417) = 0.4569 radians = 26.201° (rounded to the nearest degree)
Therefore, the measure of angle C is approximately 26°.
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1. Which Greek philosopher and mathematician is credited with developing the concept of scientific notation?
Answer:
i belive that the greek philosopher and mathematician was Archimedes
gillan read 3,135 words in 19 minutes let w represent the number of words read each minute if gillian read the same number of words each minute how many words did she read in 1 minute?
The number of words Gillan can read in 1 minute is, 165
What is the ratio?A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.
Given that,
Gillan read 3,135 words in 19 minutes
The number of words read each minute = w
Now, it has given,
Total words = 3135
Time taken = 19 minutes
For words per minute,
we need to take ratio of total words and total time taken,
Ratio = Total words/Time taken
= 3135/19
= 165
Hence, the number of words in 1 minute is 165
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In a sprint to the finish, a professional cyclist travels 380 meters in 20 seconds. At that rate, how far does the cyclist travel in 3 seconds?
Answer:
57 meters per 3 seconds
Step-by-step explanation:
^^^
There are 7 books on the floor. The number of books on the shelf is 2 more than 3 times the number of books on the floor.
Which car is accelerating?
Answer:
What care is accelerating? I can't even see the answer choices-_-
Step-by-step explanation:
I need helping finding the equation of the ellipse please.
Turn me into a superhero
It’s takes an aero plane 3.2 hours to fly from Mumbai to Seoul. It takes the same aero plane 1 1/3 hours to fly from Seoul to Tokyo. How many hours does it take the aero plane to travel from Mumbai to Tokyo if it flies through Seoul?
To find the total time it takes for the airplane to travel from Mumbai to Tokyo via Seoul, we need to add the time taken for the Mumbai-Seoul leg and the Seoul-Tokyo leg.
The airplane takes 3.2 hours to fly from Mumbai to Seoul.
The airplane takes 1 1/3 hours to fly from Seoul to Tokyo, which is equivalent to 1.33 hours.
To find the total time, we add the two durations:
3.2 hours + 1.33 hours = 4.53 hours
Therefore, it takes approximately 4.53 hours for the airplane to travel from Mumbai to Tokyo if it flies through Seoul.
Guys actually help me with this please.
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
2x2 = 4
3x2 = 6
(5x3 - 8x? – X – 4) = (x-2)
Answer: x= 1.4 Hope this helps with your assignment.
y=9/4×2
sketch the graph of f and f on the same set of axes
The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.
The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.
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Help please this is pre calculus
Answer:
5pi/12
105 degrees
Step-by-step explanation:
I can help with the first 2 too many answers in one will get my answer deleted
7pi/12 x 180/pi
7x15=105
Hopes this helps please mark brainliest
a pound in lukes neighborhood has a depth of 81.6 inches. during the dry season the pond losses an average of 0.02 inches of water each day. luke wrote the function below to represent the depth of the pond in inches x days after the dry season begins. explain lukes error and rewrite the function correctly? f(x) = -0.02(x+81.6)
The correct function to represent the depth of the pond in inches x days after the dry season begins is f(x) = 81.6 - 0.02x
It is a question of functions.
Given that:-
Depth of pond in Luke's neighborhood = 81.6 inches.
Depth that pond loses everyday = 0.02 inches
Function written by Luke to represent the depth of the pond in inches x days after the dry season begins = f(x) = -0.02(x+81.6)
We have to find the error in Luke's function and then rewrite then correct function.
Let x be the number of days after the dry season begins.
We know that,
Depth of pond after x days = Initial depth of pond - (Depth that pond loses everyday)* (number of days after the dry season begins)
Hence, we can write,
f(x) = 81.6 - 0.02x
Luke has wrongly multiplied -0.02 with (x + 81.6) instead of only multiplying with x.
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What's 2/5 divided by 1/10?
Please help
Answer:
4
Step-by-step explanation:
That's the answer......
Answer:
2/5 ÷ 1/10 = 4
Hope this helped!
Help plz!!! Are these equations equivalent?
x = 4 - 3x
2x = 4
Answer:
no
x = 4 - 3x x = 1
2x = 4 x =2
hope this helped :D
Answer:
No. They are not equivalent. The first one would end up being x=1, while the second one would be x=2.
Step-by-step explanation:
The endpoints of segment XY are X(-2,3) and Y(7,4). The segment is translated along the vector <-3,1> and then rotated 90 degrees. What is the coordinate of X"?
The coordinate of point X" after translating segment XY along the vector <-3, 1> and then rotating it 90 degrees is X" (4, 5).
To find the coordinate of point X" after translating segment XY along the vector <-3, 1> and then rotating it 90 degrees, we need to follow these steps:
Translation: Add the components of the translation vector <-3, 1> to the coordinates of point X(-2, 3) to get the new coordinates of X'.
X' = (-2 + (-3), 3 + 1) = (-5, 4)
Now, we have the translated endpoint X'.
Rotation: To rotate the point X' by 90 degrees, we need to swap the x and y coordinates and negate the new x coordinate.
X" = (y-coordinate of X', -x-coordinate of X')
X" = (4, -(-5))
X" = (4, 5)
Therefore, the coordinate of point X" after translating segment XY along the vector <-3, 1> and then rotating it 90 degrees is X" (4, 5).
In summary, we first translate point X(-2, 3) along the vector <-3, 1> to get X' (-5, 4). Then, we rotate X' by 90 degrees to obtain X" (4, 5).
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i need help with this
3:7 = ___: 49
Answer:
3 : 7 = 21 : 49
Step-by-step explanation:
i need help with this
3:7 = ___: 49
3 : 7 = x : 49
x = 3 × 49 ÷ 7
x = 147 ÷ 7
x = 21
3 : 7 = 21 : 49 (your answer)
What are the solutions to the absolute value inequality |x − 70| ≤ 3?
Remember, the inequality can be written as −3 ≤ x − 70 ≤ 3
or as x − 70 ≤ 3 and x − 70 ≥ −3.
Answer:
67 ≤ x ≤ 73
Step-by-step explanation:
The absolute value of a real number x is the non negative value of x. Therefore the absolute value of x (|x|) = x for x ≥ 0 and -x for x < 0.
An expression |x - a| = b signifies that x - a = b or -(x - a) = b
Given that |x − 70| ≤ 3, hence:
|x − 70| ≤ 3
x - 70 ≤ 3 or -(x - 70) ≤ 3
x ≤ 3 + 70 or x - 70 ≥ -3
x ≤ 73 or x ≥ -3 + 70
x ≤ 73 or x ≥ 67
67 ≤ x ≤ 73
Hence the solution of |x − 70| ≤ 3 is 67 ≤ x ≤ 73
Which expressions are less than 7/8? Choose2 answers 7/8 x 9/19 7/8 x 3/4 7/8 x 9/9 7/8 x 4/3
The two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.
To determine which expressions are less than 7/8, we can compare them individually to 7/8 and evaluate their values.
Let's consider each expression one by one:
7/8 x 9/19:
To compare this expression to 7/8, we multiply the fractions:
(7/8) x (9/19) = 63/152.
Since 63/152 is less than 7/8, this expression is less than 7/8.
7/8 x 3/4:
Multiplying the fractions:
(7/8) x (3/4) = 21/32.
Since 21/32 is less than 7/8, this expression is less than 7/8.
7/8 x 9/9:
The fraction 9/9 simplifies to 1, so the expression becomes:
(7/8) x 1 = 7/8.
Since 7/8 is equal to 7/8 (not less than), this expression is not less than 7/8.
7/8 x 4/3:
Multiplying the fractions:
(7/8) x (4/3) = 28/24.
We can simplify 28/24 to 7/6.
Since 7/6 is greater than 7/8, this expression is not less than 7/8.
Therefore, the two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.
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In the game of Pick-A-Ball, there are 10 colored balls: 2 red, 4 white, and 4 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen. It is common in games of chance to be rewarded for obtaining unlikely results. For example, in the game of poker, hands that are less likely to occur tend to trump hands that are more likely to occur. That same concept applies in this game. It costs $10 to play Pick-A-Ball, and your prize is the reciprocal of the probability of obtaining your exact sequence of results, expressed in dollars. For example, if the probability of obtaining your exact sequence of results is 0.10, your prize is 1/0.10
Required:
What is the probability of selecting the color of ball that you just selected?
Answer:
The probability of selecting the color of ball that you just selected(a red ball) is \(P(r) = \frac{2}{10}\)
Step-by-step explanation:
From the question we are told that
The total number of colored balls is n = 10
The number of red balls is r = 2 red
The number of white ball is w = 4
The number of blue balls is b = 4
The number of balls to be selected is N = 2 balls
The cost of playing picking a ball is c = $10
The winnings is \(k = \$ P(A)\)
Here P(A) is the probability of obtaining the exact sequence of result and from the question it is P(A) = 0.10
Generally my price according to the question is
\(k = \frac{0.10 }{10}\)
=> \(k = 0.01 \)
Let assume we selected a red ball
Generally the probability of selecting a red ball is mathematically represented as
\(P(r) = \frac{2}{10}\)
Describe the possible values of x.
Step-by-step explanation:
use the picture as a reference
Answer:
x= any value bigger than 5/3 but smaller than 6
I could be 1 or 3, or 4....
5/3<x<6
Step-by-step explanation:
According to triangle inequality theorem, for any given triangle, the sum of two sides of a triangle is always greater than the third side.
(x+11) +(2x+10)>(5x-9)
6>x ( x less than 6)
(x+11)+(5x-9)>(2x+10)
x>2 (x more than 2)
(2x+10)+(5x-9)>(x+11)
x> 5/3 (x more than 5/3)
Hi , what is sun helppp pls
Answer: sun are the main light source
Step-by-step explanation:
Answer:
What is sun ?
»The Sun is a star. It is a huge, spinning, glowing sphere of hot gas.Solve the following proportions for v V/5=13/17