Answers
Inspect the graph to see if any vertical line drawn would intersect the curve more than once.
What is graph?
A graph is a structure that resembles a set of items in discrete mathematics, more especially in graph theory, in which certain pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.
If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.
f(x)=log(2x)
g(x)=log1/10(x-3) the base of log is 1/10
Domain is x>3
Range is all real numbers
g(x) is decrease on the interval x>3
asymtote is x=3
x intercept is x=4
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Related Questions
Consider the predicate "enrol_mark >= 50", what row(s) will be selected for this predicate by the dbms?
Answers
The rows selected for the predicate "enrol_mark >= 50" by the DBMS will include all rows where the value of the column "enrol_mark" is greater than or equal to 50.
In a DBMS (Database Management System), a predicate is a condition or criteria used to filter and select specific rows from a database table. In this case, the predicate "enrol_mark >= 50" indicates that we are interested in selecting rows where the value of the "enrol_mark" column is greater than or equal to 50.
When the DBMS evaluates this predicate, it will scan the table and compare the value of the "enrol_mark" column for each row. If the value is greater than or equal to 50, the row will be selected and included in the result set. Rows with "enrol_mark" values less than 50 will not be included in the result set.
It's important to note that the actual rows selected by the DBMS will depend on the specific data in the table. If there are rows where the "enrol_mark" column has values greater than or equal to 50, those rows will be selected. If there are no such rows, then the result set will be empty.
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Automatic Transmissions, Inc., has the following estimates for its new gear assembly project: price = $940 per unit; variable cost = $340 per unit; fixed costs = $3.4 million; quantity = 53,000 units. Suppose the company believes all of its estimates are accurate only to within ±15 percent. What values should the company use for the four variables given here when it performs its best-case scenario analysis? What about the worst-case scenario?
Answers
In the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units.
In the best-case scenario analysis for Automatic Transmissions, Inc.'s new gear assembly project, the company assumes the upper limit of the ±15 percent range for its estimates. For the price per unit, they take a 15 percent increase, resulting in a value of $1081. Similarly, the variable cost per unit is increased by 15 percent to $391. The fixed costs are also adjusted upwards by 15 percent, reaching $3.91 million. Finally, the quantity is decreased by 15 percent, leading to a value of 45,050 units.
On the other hand, in the worst-case scenario analysis, the company assumes the lower limit of the ±15 percent range for its estimates. The price per unit is decreased by 15 percent, resulting in $799. The variable cost per unit is decreased to $289. The fixed costs are adjusted downwards to $2.89 million. Lastly, the quantity is increased by 15 percent to 60,950 units.
Therefore, in the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units
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all the numbers are written in a array of squares, one number in each square, in such a way that if two numbers are consecutive then they occupy squares that share an edge. the numbers in the four corners add up to . what is the number in the center?
Answers
The number in the center of the array is A + 2, where A is the value obtained after solving the equation 4A + 6 = [sum of the numbers in the corners].
To find the number in the center of the array, we need to consider the sum of the numbers in the four corners.
Let's denote the numbers in the corners as A, B, C, and D, respectively. Since the numbers are consecutive and occupy squares that share an edge, we can deduce that the difference between each consecutive number is 1.
The sum of the numbers in the corners is given as:
A + B + C + D = [A + (A + 1) + (A + 2) + (A + 3)]
Simplifying the expression:
A + B + C + D = 4A + 6
Since the sum of the numbers in the corners adds up to a certain value, we can write the equation as:
4A + 6 = [sum of the numbers in the corners]
Given that the sum of the numbers in the corners is a specific value, we can solve for A.
Once we find the value of A, we can determine the number in the center of the array by taking A and adding 2 to it. This is because the difference between the center number and the corner numbers is 2.
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Alan buys 1.2 kg of sweets.
He pays £2.25 for the sweets.
Alan puts the sweets into bags.
He puts 150g of sweets in each bag.
He sells each bag of sweets for 30p.
Work out Alan's percentage profit.
Answers
Answer:
To calculate Alan's profit percentage, we need to first find his total cost and total revenue.
Total cost:
Alan pays £2.25 for 1.2 kg of sweets, which is equivalent to 1200 g of sweets. Therefore, the cost per gram of sweets is:
Cost per gram = £2.25 ÷ 1200 g = £0.001875/g
Alan puts 150 g of sweets in each bag, so the cost of sweets per bag is:
Cost per bag = 150 g × £0.001875/g = £0.28125
To find the total cost, we divide the total weight of sweets by the weight of sweets in each bag and multiply by the cost per bag:
Total cost = (1.2 kg ÷ 150 g) × £0.28125 = £2.25
Total revenue:
Alan sells each bag of sweets for 30p, so the total revenue is:
Total revenue = (1.2 kg ÷ 150 g) × £0.30 = £2.40
Profit:
To find Alan's profit, we subtract the total cost from the total revenue:
Profit = £2.40 - £2.25 = £0.15
Profit percentage:
To calculate the profit percentage, we divide the profit by the total cost and multiply by 100:
Profit percentage = (Profit ÷ Total cost) × 100%
= (£0.15 ÷ £2.25) × 100%
= 6.67%
Therefore, Alan's percentage profit is 6.67%.
pls help
b ⋅ (-3) = -12 b=?
Answers
Answer:
b=4
Step-by-step explanation:
Answer:
b=-3\13
Step-by-step explanation:
b
Express - 64 by 112 as a rational number with denominator 7 .plz answer fast so l will follow you .
Answers
Answer:
-4/7
Step-by-step explanation:
When we simplify the fraction -64/112, we get -4/7.
Answer:
-4/7
Step-by-step explanation:
-64/112 is already a rational number.
Simplify the fraction.
= -4/7
Nick is going to roast some marshmallows over a campfire tonight. Nick buys 4 bags of marshmallows. Each bag costs $3. Nick also buys a $2 lighter
Answers
Answer: 14
Step-by-step explanation: I solved the equation
Answer:
14 dollars
Step-by-step explanation:
A cable of a suspension bridge has its supports at the same level, separated by a distance of 500 feet. If the supports are 100 feet higher than the point cable minimum, use an appropriate set of axes to determine an equation for the bend in which the cable hangs, assuming the bridge is of weight uniform and that the weight of the cable is negligible. Find the slope of the cable on the supports.
Answers
Suspension bridges are significant structures that are supported by cables that are attached to towers. To support the deck of the bridge, the cables are placed at a higher elevation than the deck.
A cable of a suspension bridge has its supports at the same level, separated by a distance of 500 feet. The support structures are 100 feet taller than the lowest point of the cable. If the cable is of uniform density and has negligible weight,To determine the slope of the cable on the supports, we need to find the equation for the parabola formed by the cable.
The equation of the parabola will help us find the slope of the cable on the supports.Let the center of the cable be at the origin. We will use x and y as the variables. We know that the supports are separated by a distance of 500 feet. Therefore, the maximum height of the cable is 100 feet.
We will use the vertex form of the equation of a parabola to model the shape of the cable:y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola. Since the vertex is at the origin, the equation of the parabola becomes:y = ax^2The highest point of the parabola is at (250, 100). Therefore, we can write:a(250)^2 = 100
a = 100/(250)^2The equation of the cable is:
y = (1/62500)x^2To find the slope of the cable on the supports, we need to differentiate the equation:
y' = (2/62500)xThe slope of the cable on the supports is:
y'(250) = (2/62500) x 250
= 1/625Therefore, the slope of the cable on the supports is 1/625.
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When examining the statistical validity of a frequency claim, one should look for the?
Answers
When examining the statistical validity of a frequency claim, one should look for the margin of error estimate.
What is statistical validity?
Statistical validity is defined as a procedure or an extent of drawing conclusions to which research works or studies can be considered precise and accurate which are derived from the already existing or reliable statistical tests.
It can also be the statistics which are derived from the research works or studies.
What is frequency in statistics?
Frequency in statistics can be defined as the number of times an observation or a record or a value occurred in the duration of the research work. The frequencies of different records are represented in a tabular form.
For a given set of data the frequency can either be 0 or more than that.
Frequency of a given record or an observation cannot be negative as the least number of times the instance of an object can appear is zero.
What is margin of error estimate?
The margin of error estimate is a percentage figure which can be some percentage more or less than the actual or ideal value.
The margin of error is the range of values greater or lesser than the sample outcome statistic in the accuracy or confidence region or the interval.
Hence, when examining the statistical validity of a frequency claim, one should look for the margin of error estimate.
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SOS 50 PTS!
Use a coordinate proof to show that the diagonals of a rectangle are congruent
Answers
The diagonals of rectangle are congruent.
How to show congruent diagonals?
We should know that a rectangle is a plane shape with four sides, four vertices and four angles.
Using a rectangle with the lettering ABCD
The diagonal AC divide the rectangle into two right angled triangles
<ADC = 90⁰
In the rectangle, AD=BC and AB=CD
Also, The same diagonal AC has another right angled triangle ABC with <ABC=90⁰
Similarly, diagonal BD divides the rectangle into two right angled triangles of ΔBAD and ΔBCD with a common hypothenuse of BD
Hence AB=CD and AD= BC
Therefore, the two diagonals are congruent
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answer the following, Round final answer to 4 decimal places. a.) Which of the following is the correct wording for the randon variable? r×= the percentage of all people in favor of a new building project rv= the number of people who are in favor of a new building project r N= the number of people polled r×= the number of people out of 10 who are in favor of a new building project b.) What is the probability that exactly 4 of them favor the new building project? c.) What is the probabilitv that less than 4 of them favor the new building project? d.) What is the probabilitv that more than 4 of them favor the new building project? e.) What is the probabilitv that exactly 6 of them favor the new building project? f.) What is the probability that at least 6 of them favor the new building project? 8.) What is the probabilitv that at most 6 of them favor the new building project?
Answers
In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.
a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.
b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.
c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.
d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).
e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.
f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).
g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).
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4x = 20
addition property of equality
division property of equality
multiplication property of equality
subtraction property of equality
Answers
Answer:
b)
x= 5
Step-by-step explanation:
4x = 20
:4
x=5
A large equilateral triangle pyramid stands in front of the city's cultural center. Each side of the base measures 50 feet and the slant
height of each lateral side of the pyramid is 40 feet.
A painter can paint 100 square feet of the pyramid in 18 minutes.
How long does it take the painter to paint 75% of the pyramid?
Enter your answer, rounded to the nearest tenth, in the box.
min
Answers
Based on the information provided, it can be concluded it will take the painter 877.5 minutes to paint 75% of the pyramid.
What surface must be painted?Let's calculate the surface:
Surface area: Base + 1/2 perimeter of the base x slant height
Surface area: (50x50) + 1/2 (50x4) (40)
Surface area: 2500 + 0.5 x 200 x 40
Surface area: 2500 + 4000
Surface area: 6500
How long it will take to paint the 75%?Calculate the 75%
6500 / 100 x 75 = 4875
And now let's divide this surface by the painting rate
4875 / 100 = 48-75 x 18 = 877.5 minutes
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Determine whether the distribution represents a probability distribution. X 3 6 0.3 0.4 P(X) Oa. Yes b. No 9 0.3 0.1
Answers
The distribution does not represent a probability distribution. The correct option is b.
A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).
In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.
Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.
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give the order of the matrix. classify the matrix as a square matrix, row matrix, column matrix, or none of these.
Answers
The given matrix is of order 3x3 and square matrix.
To determine the order and classification of the matrix, we need to analyze its dimensions. The given matrix has 3 rows and 3 columns, denoted as a 3x3 matrix. The order of a matrix is defined by the number of rows and columns it has. In this case, we have a 3x3 matrix.
A square matrix is a matrix where the number of rows is equal to the number of columns. In the given matrix, both the number of rows and columns is 3, which means it is a square matrix.
Hence, the correct answer is a) 3 * 3 square matrix. The matrix has an order of 3x3 and is classified as a square matrix since it has an equal number of rows and columns.
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The complete question is :
Give the order of the matrix. Classify the matrix as a square matrix, row matrix, column matrix, or none of these.
[4 - 1 2
8 4 - 5
7 6 4]
a)3 * 3 square matrix
b)7, none of these
c)3 * 3 none of these
d)9, square matrix
What does scaling do to standard deviation?
Answers
Scaling a dataset by a constant value changes the standard deviation proportionally by the same constant value.
Scaling (multiplying or dividing) a set of data by a constant value changes the standard deviation of the data.
If you multiply every value in a dataset by a constant value, the standard deviation will also be multiplied by the same constant. For example, if you have a set of data with a standard deviation of 2 and you multiply every value by 3, the new standard deviation will be 6.
On the other hand, if you divide every value in a dataset by a constant value, the standard deviation will also be divided by the same constant. For example, if you have a set of data with a standard deviation of 6 and you divide every value by 3, the new standard deviation will be 2.
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Art Club. He then made a scale drawing of his original painting to create a similar rectangular poster. He used a scale factor of 4/5 to create the rectangular poster. If the perimeter of the smaller rectangle is 45 centimeters, what is the perimeter of the larger rectangle?
Answers
The perimeter of the larger rectangle found using the scale factor of 4/5 is 56.25 cm.
What is meant by the perimeter of a figure?
A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges.
Given,
the scale factor = 4/5
The perimeter of the smaller rectangle = 45 cm
We are asked to find the perimeter of the larger rectangle(x).
Here both the rectangle are similar figures.
So the scale factor is the ratio of their corresponding sides.
But since the perimeter of a rectangle is the sum of the length of its sides.
The scale factor is also the ratio of the perimeter of the smaller rectangle to the larger rectangle.
Perimeter of small rectangle/Perimeter of large rectangle = 4/5
45/x = 4/5
x = 45 * 5 / 4 = 56.25cm
Therefore the perimeter of the larger rectangle found using the scale factor of 4/5 is 56.25 cm.
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Redesign of entrance a
entrance a
3x + y = 5
key
0
fountain
= path a
---- = path b
- 2x + 5y8
wao
entrance bc
how does the redesigned equation of the path from entrance a affect the coordinates of the fountain? show your
work and explain your reasoning.
Answers
In summary, the redesigned equation of the path from entrance a affects the coordinates of the fountain by changing the coefficients of x and y in the equation. This change in coefficients results in a different slope for the path.
The redesigned equation of the path from entrance a affects the coordinates of the fountain by changing the values of x and y in the equation of the path.
The original equation of the path from entrance a is 3x + y = 5. To redesign the equation, we need to analyze the changes mentioned in the question: "path a ---- = path b - 2x + 5y8 wao entrance bc".
From this information, we can deduce that the new equation of the path from entrance a is given by: 3x + y = -2x + 5y + 8.
To understand how this redesigned equation affects the coordinates of the fountain, we can compare it to the original equation.
By rearranging the terms in both equations, we can see that the coefficients of x and y have changed. In the original equation, the coefficient of x is 3 and the coefficient of y is 1. However, in the redesigned equation, the coefficient of x is now -2 and the coefficient of y is 5.
These changes in the coefficients affect the slope of the path. The slope of the original equation is -3 (the coefficient of x divided by the coefficient of y), while the slope of the redesigned equation is -2/5.
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if it has work to show, please include it. please help
Answers
Answer:
B) 256
Step-by-step explanation:
You are doubling the amount of boxes there are each time:
Pattern 1: 1 box
Pattern 2: 2 boxes
Pattern 3: 4 boxes
Pattern 4: 8 boxes
Pattern 5: 16 boxes
Pattern 6: 32 boxes
Pattern 7: 64 boxes.
Each box takes 4 matches to create. There are 64 boxes in total by the 7th pattern. Multiply 4 with 64:
64 x 4 = 256
B) 256 matches is your answer.
~
Factor the trinomial below.
x^2+4x-12
Answers
Answer:
(x+6)(x-2)
Step-by-step explanation:
using the x method, the only two numbers that multiply to get -12 and add to get 4 are 6 and -2
Answer:
(x+6)(x-2) A P E X :)
The width of a rectangle is five less than three times the length of the rectangle. If the perimeter of the rectangle is 70 inches what are the dimensions of the rectangle?
Answers
Step-by-step explanation:
Do you mean width equal 5
What is 12.5% expressed as a fraction in lowest terms
Answers
Answer:
25 / 2
Step-by-step explanation:
12.5% = 125 / 10 ( simplify the fraction with 5 )
= 25 / 2
Chloe is replacing a door that measures 96 inches by 28 inches. What is the distance between opposite corners of the door?
Answers
Answer:
2,688
Step-by-step explanation:
multiply
The function h(x) = (x + 3)2 + 2. How is the graph of h(x) translated from the parent graph of a
quadratic function, f(x) = xº? Select all that apply.
The graph of h(x) is shifted 3 units to the right of the parent graph.
O The graph of h(x) is shifted 2 units up from the parent graph.
The graph of h(x) is vertically compressed by a factor of
The graph of h(x) is a reflection of the parent graph.
The graph of h(x) has a different y-intercept from the parent graph.
Both graphs have two x intercepts.
Answers
The Answers are B,C, and E
I got this by graphing the function of h(x) and the parent function f(x) on the same graph and analogizing the shifts of h(x) from the parent graph f(x). Also the function included two different y-intercepts.
Three spheres each with charge Q uniformly distributed through its volume Rank the spheres according to the magnitude of the electric field they produced at point P (greatest firstl P (1) (2) (3) Select one: a. 3 > 2 > 1 b. all tie c. 1>2>3 d. 1 and 2 tie > 3 e. 2 > 3 >1
Answers
The correct ranking of the spheres according to the magnitude of the electric field they produce at point P (greatest first) is: 1 > 2 > 3. The answer is option C.
Since all three spheres have the same charge Q and radius, the magnitude of the electric field at point P due to each sphere is proportional to 1/d^2, where d is the distance between the center of the sphere and point P. Therefore, the sphere closest to point P will produce the greatest electric field at that point.
Assuming that the three spheres are arranged in a straight line with sphere 1 being the closest to point P and sphere 3 being the farthest, we can rank the spheres according to the magnitude of the electric field they produce at point P as follows:
Sphere 1 produces the greatest electric field at point P since it is the closest to it.
Sphere 2 produces the second greatest electric field at point P since it is farther away from point P than sphere 1 but closer than sphere 3.
Sphere 3 produces the smallest electric field at point P since it is the farthest from it.
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Find the other endpoint of the line segment with the given endpoint and midpoint.
2) Endpoint: (-6, 4), midpoint: (-4,8)
Answers
Answer:
(-2,12)
Step-by-step explanation:
Answer:
Office Depot
Step-by-step explanation:
Y=-2x+5 what is the slope of the line can best describe as
Answers
Using the slope-intercept form, the slope is 2 .
Step-by-step explanation:
Which one don’t lie!!!
Answers
Answer:
A
Step-by-step explanation:
m=y2-y1/x2-x1
4-2=2
6-3=3
2/3
hope this helps =3
Answer:
The answer is 2/3
Step-by-step explanation:
an article is sold for $315 and profit is $65 find profit percentage
Answers
Answer:
D. 26%
Step-by-step explanation:
an article is sold for $315 and profit is $65
$315 - $65 = $250
$315 / $250 = 1.26%
so, $250 x 0.26 + $250 = $315
therefore, the profit percentage is 26 more
profit all over cost price x 100/1
35/250*100%/1
14%
A lump of butter has a mass of 250 g and a volume of 290 cm³. Find its density in g/cm³. Give your answer to 3 decimal places.
Answers
The density in butter has a mass of 250g and volume of 290cm³ is 0.862 g/cm³.
What is meant by density?Density is a physical property of matter that is defined as the amount of mass per unit of volume. It is measured in units of kilograms per cubic meter (kg/m^3) and is usually represented by the Greek symbol ρ (rho).
Density is a measure of how tightly the particles of a substance are packed together. The denser a substance is, the more mass it contains in a given volume.
Most commonly, density is used to compare different substances, such as solids, liquids, and gases.
In general, solids are more dense than liquids, and liquids are more dense than gases.
The density of a substance can change based on temperature, pressure, and other factors. For example, water has a greater density at 4°C than at any other temperature, and the density of a gas increases with increasing pressure.
Density is an important factor in many physical and chemical processes, including buoyancy, diffusion, and surface tension.
Density is also used in many calculations, such as calculating the volume of a container or the mass of an object.
Density, p = m/v
Where, m is mass of butter and v is volume of butter.
p = 250/290
p = 0.862 g/cm³
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