For the given graph the complex number obtained is 2 - 2i.
What is a complex number?
Complex numbers are those that are expressed as a + ib, where a and b are actual numbers and i is a imaginary number called a "iota."
The graph contains the coordinate point (2,-2).
To find the complex number associated with the point (2,-2), we can simply use the real part of the point as the real part of the complex number, and the imaginary part of the point as the imaginary part of the complex number.
So, the complex number associated with the point (2,-2) is -
2 - 2i
Note that the convention is to write the real part first and the imaginary part second, and to use "i" to represent the imaginary unit.
Therefore, the complex number is 2 -2i.
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An experimenter wants to estimate the average water consumption per family in a city. Discuss the relative merits of choosing individual families, dwelling units (single-family houses, apartment buildings, and so on), and city blocks as sampling units. What would you use as a frame in each case?
Answer:
Solution: an Experimenter whats to estimate the average water consumption per family in the city
if individual families are used as the sampling united, a frame could be using censes data or atelephone book
if dwelling are used as the sampli units, aframe could be using Address book or city directory
If city blocks are used as the sampling units, aframe could been using is city directory
Step-by-step explanation:
What is the median of the numbers 3, 11, 6, 5, 4, 7, 12, 3 and 10 ? * 4 6 5 7 NADH
Answer:
Median: 3,3,4,5,6,7,10,11,12
Answer:
6
Step-by-step explanation:
We need to arrange the numbers 3, 11, 6, 5, 4, 7, 12, 3 and 10 in increasing order
3, 3, 4, 5, 6, 7, 10, 11, 12
Next, we need to find such a number so that it is middle one and hase equal amount of number on either side of it
median = 6
Can somebody plzz help me I'm not sure if the answer is A or B.
Answer:
I think B just my guess
total: 9
part: 2
however, here it asks for NOT.
so the answer should be B. 7/9
rectangle has an area of x2 + 3x — 4 and a width of x— 1. What is the length of the rectangle?
Answer:
x+4
Step-by-step explanation:
If you plug in the answer choices (x+4, x-4, x+2, x-2) into (x-1) (insert solution), x+4 gives you x^2+3x-4. :)
What is the slope of the graph/ What does the slope tell you?
Answer both for brainliest
Answer:
Slope= 30
Step-by-step explanation:
What does the slope tell me?
It tells me that every time I try to find the slope with different points I get 30 for slope.
A rectangular box has length 11 ft, width 8 ft, and height 12 ft. Find its volume as surface area.
The volume of a rectangular box= 1056 ft³
The surface area of a rectangular box= 632 square ft
What is meant by volume?Volume is a measure of three-dimensional space that is occupied. It is frequently quantified numerically using SI-derived units or different imperial or US customary units (such as the gallon, quart, cubic inch). The definition of length (cubed) is related to volume. The volume of a container is commonly believed to be its capacity; that is, the amount of fluid (gas or liquid) that the container can hold, rather than the amount of space it occupies.
Volume was measured in ancient times using similar-shaped natural containers, and later, standardized vessels. Arithmetic formulas can quickly compute the volume of some simple three-dimensional shapes.
Given,
Length of the rectangular box= 11ft
Width of the rectangular box= 8 ft
Height of the rectangular box= 12 ft
Volume= Length× Width× Height
Volume= 11×8×12
=1056 ft³
Therefore, volume= 1056ft³
Surface area of a rectangular box is,
1 and 2 surfaces, 11 × 8 ===>
Surface area = 2× (11× 8) = 176 square ft
1 and 3 surfaces 11 × 12 ===>
Surface area = 2× (11×12) = 264 square inches
3• 2 surfaces 12 × 8 ===>
Surface area = 2× ( 12 × 8) = 192 square inches
Adding all the surface areas
176 +264 +192= 632 square ft.
The surface area of a rectangular box= 632 square ft
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What is the volume of this figure? A three-dimensional figure that is composed of two rectangular prisms. Prism A has a length of 8 meters, a height of 5 meters. The width is unknown but can be determined by the width of prism B. Prism B has a length of 12 meters, a width of 4 meters, and a height of 5 meters. 400 m 320 m 240 m 80 m
The volume of this required figure is 190m³.
What is volume, exactly?
Volume is a term used in mathematics to describe the volume of three-dimensional space inhabited by an object or a closed surface.
Volume is measured in cubic units like m3, cm3, in3, etc. Volume and capacity may be used interchangeably.
Volume of a rectangular prism is the space inside the prism. It is calculated by multiplying its base area by its height.
Volume (v) = l × b × h, where l is the length, b is the breadth, and h is the height of the prism.
so volume of both the rectangular prism are to be found.
Volume of first rectangular prism = l×b×h = 5 × 4 × 5 = 100 m³.
volume of second prism = 2 × 9 × 5 = 90m³.
∴ the volume of the figure
= volume of first rectangular prism +volume of second prism
= 100m³ + 90m³
=190m³.
Thus, the volume of this required figure is 190m³.
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PLEASE HELP
The table of values represents an exponential function.
What is the y-coordinate of -3f(x-1) when x = 0
Enter your answer in the box.
SEE PHOTO
The y-coordinate of -3f(x-1) when x = 0 is -63
What is the y-coordinate of -3f(x-1) when x = 0From the question, we have the following parameters that can be used in our computation:
The table of values
So, we have
-3f(x - 1)
When x = 0, we have
y = -3f(0 - 1)
This gives
y = -3f(-1)
From the table, we have
y = -3 * 21
Evaluate
y = -63
Hence, the y-coordinate is -63
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PLEASE HELP !!!!!Factor 16x2 - 6x - 7.
A. (2x + 1)(8x - 7)
B. (4x + 7)(4x - 1)
C. (2x - 1)(8x + 7)
OD. (4x - 7)(4x + 1)
Answer:
Step-by-step explanation:
Here you go mate
Step 1
16x^2-6x-7 Question
Step 2
16x^2-6x-7 Factor
answer
(2x+1)(8x-7)
Show the algorithm/abstract strategy to justify the 3/5?
The algorithm/abstract strategy to justify the fraction 3/5 involves interpreting it as a division, performing the division, and obtaining the decimal representation as the results.
To justify the fraction 3/5, we can use the concept of division and understand it as a ratio or proportion.
Algorithm/Abstract Strategy:
Start with the numerator, which is 3.
Identify the denominator, which is 5.
Interpret the fraction as a ratio or comparison between the numerator and denominator.
Understand that 3/5 represents a division where the numerator (3) is divided by the denominator (5).
Perform the division: 3 ÷ 5.
Simplify the division to its simplest form, if necessary.
The result of the division, in this case, is the decimal representation of the fraction.
If required, convert the decimal representation to a percentage or any other desired form.
For example, if we perform the division 3 ÷ 5, the result is 0.6.
So, 3/5 can be justified as the ratio or proportion where the numerator (3) is divided by the denominator (5) resulting in 0.6.
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Athletes from Seneca nation practice lacrosse every Monday, Wednesday ,and Friday each practice lasts 1 3/4 hours what is the total number of hours the athletes spend at lacrosse practice each week
Upon answering the query Thus, the athletes devote a total of 21/4 equation hours, or 5 1/4 hours, to lacrosse practise each week.
What is equation?An equation in math is an expression that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between each of the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The sign and only one variable are frequently the same. as in, 2x - 4 equals 2, for instance.
On Monday, Wednesday and Friday, the Seneca Nation athletes practise lacrosse for 1 3/4 hours daily.
\(1 3/4 hours + 1 3/4 hours + 1 3/4 hours1 3/4 = 7/4\\7/4 + 7/4 + 7/4\\7/4 + 7/4 + 7/4 = (7+7+7)/4 = 21/4\\\)
Thus, the athletes devote a total of 21/4 hours, or 5 1/4 hours, to lacrosse practise each week.
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Which of the following lists of ordered pairs is a function? OA. (1,6), (2, 7), (4,9), (0,5) OB. (2, 4), (0, 2), (2, -4), (5, 3) OC. (0, 2), (2, 3), (0, -2), (4, 1) O D. (1, 2), (1, -2), (3, 2), (3, 4)
Answer:
OA. (1,6), (2, 7), (4,9), (0,5).
Step-by-step explanation:
To determine whether a list of ordered pairs is a function, you need to check whether each element in the domain (the set of input values) is associated with exactly one element in the range (the set of output values).
In this case, the list OA. (1,6), (2, 7), (4,9), (0,5) is a function because each element in the domain (1, 2, 4, 0) is associated with exactly one element in the range (6, 7, 9, 5).
List OB. (2, 4), (0, 2), (2, -4), (5, 3) is not a function because the element 2 appears twice in the domain and is associated with two different elements in the range (4 and -4).
List OC. (0, 2), (2, 3), (0, -2), (4, 1) is not a function because the element 0 appears twice in the domain and is associated with two different elements in the range (2 and -2).
List OD. (1, 2), (1, -2), (3, 2), (3, 4) is not a function because the element 1 and 3 appear twice in the domain and are associated with two different elements in the range (2 and -2, and 2 and 4, respectively).
Therefore, the correct answer is OA. (1,6), (2, 7), (4,9), (0,5).
Suppose the company charges 80 cents for each GB of data used. How much does the company charge for using 2 GB of data?
Answer:
Step-by-step explanation:
The company charges $0.80 * 2 = $1.60 for using 2 GB of data.
1 kilometer =100 meters1 mile = 1760 yardsHaley walked 5 kilometers to her grandmother's house. About how many miles did she walk?
Answer:
She walked 3.107 miles
Explanation:
Given that Haley walked 5 kilometers to her grandmother's house, to know how many miles she walked, we need to find the equivalent of 5 kilometers in miles.
Note that
1 mile = 1.6093 kilometers
x mile = 5 kilometer
1.6093x = 5
x = 5/1.6093
= 3.107 miles
two ratios equivalent to 27:9
Answer:
Those ratios could be 3:1
The daily wages of a carpenter are increased from $40 to $48. Find the
percent increase?
Answer:20
Step-by-step explanation: so first take out the amount of salary increased so it will be- 48-40=-8
After take out the percentage of the increased amount which was $-8 and the original amount which was $40 so 8/40 × 100
Percentage increase would be 16.67% or if thats not right try 20%
i hope this helps!!!!
Order these numbers from least to greatest.
Answer:
8 4/11, 42/5, 8.426, 8.49
Step-by-step explanation:
Simplify/Convert the fractions to decimals.
8 4/11 ≈ 8.364
42/5 = 8.40
Comparing teaching assistants (TAs). professor Holmes has two teaching assistant who grade homework for a Statistics 101 course. Professor Holmes gives each of the two teaching assistants a rubric (a clear scoring guide) for the TAs to use when they grade the assignments, Holmes gives each TA the same student's paper to grade and has TA grade the paper according to the rubric. Professor Holmes is doing this to try to guarantee the scores given by the TAs are
(a) not biased.
(b) predictive
(c) reliable.
(d) valid.
Professor Holmes is making this effort to ensure the (C) reliability of the TAs' grades.
What is reliable?Certain mistakes might never be corrected. It is also possible to later reverse an edit that fixed a mistake.
Wikipedia shouldn't be used as the sole source of information, for this reason.
The Signpost, non-article pages, articles, and non-English Wikipedias are all included in this.
In contrast to reference books, many items in the online encyclopedia are well-researched, reviewed for quality, and frequently kept up to date.
Nonetheless, even 20 years after its inception, the content of the encyclopedia can still be changed, sometimes almost imperceptibly.
Therefore, professor Holmes is making this effort to ensure the (C) reliability of the TAs' grades.
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Can you help? It’s middle school level and worth 10 points
Answer: B) Yes, because the x- and y-values are increasing proportionately.
Step-by-step explanation: It’s Option B) because the table represents proportional numbers that are corresponding in size or amount to something else and having a constant ratio to another quantity. This means that each number in each side of the graph are equivalent quantities.
QUESTION 4 PATTERNS, FUNCTIONS AND ALGEBRA 1. Given 6x³-8x³+2+9x7-4x a. How many terms are there in the polynomial? State the degree of the polynomial c. Determine the value of the polynomial if x=-1 b.
Answers:
a) There are 5 termsb) Degree = 7c) The value is -1==========================================
Explanation:
a) Each term is separated by a plus or a minus.b) The degree is equal to the largest exponent. This applies to single variable polynomials only.c) Replace each x with -1. Then use the order of operations PEMDAS to simplify. You should get -1 as the answer. Use a calculator to confirm. It is a coincidence that we have the same input and output. This will not always happen with any general polynomial function.Which description compares the domains of Function A and Function B correctly? Function A: f(x)=logx Function B: A square root function graphed on a grid in Quadrant One, with the x and y axis beginning at negative ten and increasing in increments of two until reaching ten. The function, labeled g of x, contains a filled in point at begin ordered pair one comma zero end ordered pair and passes through begin ordered pair eight comma two end ordered pair as a smooth curve while extending to infinity. Responses The domain of Function A is the set of real numbers greater than 0. The domain of Function B is the set of real numbers greater than or equal to 1. The domain of Function A is the set of real numbers greater than 0. The domain of Function B is the set of real numbers greater than or equal to 1. The domain of both functions is the set of real numbers greater than or equal to 1. The domain of both functions is the set of real numbers greater than or equal to 1. The domain of Function A is the set of real numbers greater than or equal to 1. The domain of Function B is the set of real numbers greater than 1. The domain of Function A is the set of real numbers greater than or equal to 1. The domain of Function B is the set of real numbers greater than 1. The domain of both functions is the set of real numbers.
The domain of function A and function B are compared by the statement of Option A: The domain of Function A is the set of real numbers greater than 0. The domain of Function B is the set of real numbers greater than or equal to 1.
What is a function?
A function is a fundamental concept in mathematics that relates a set of inputs (also known as the domain) to a corresponding set of outputs (sometimes referred to as the codomain). For each input, there exists exactly one output, and the output can be linked to its corresponding input in a unique manner.
The domain of a function refers to the set of all possible input values for which the function can produce an output.
In Function A, the domain consists of all real numbers greater than 0, since it is a logarithmic function that can take any positive number as an input.
In contrast, the domain of Function B includes all real numbers greater than or equal to 1, since it is a square root function that begins at (1,0) and continues to infinity.
This means that any number greater than or equal to 1 can be used as an input to produce a corresponding output.
It is essential to define the domain of a function accurately to ensure that the function is well-defined and to avoid potential errors or ambiguities in mathematical computations.
Therefore, the correct statement is A.
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(sin(A) + cos(A))² + (sin(A)-cos(A))² = 2
Answer:
We can expand and simplify both sides of the equation using trigonometric identities. Let's proceed with the verification:
Starting with the left-hand side (LHS):(sin(A) + cos(A))² + (sin(A) - cos(A))²
Expanding each squared term:(sin(A) + cos(A))(sin(A) + cos(A)) + (sin(A) - cos(A))(sin(A) - cos(A))
Using the FOIL method (First, Outer, Inner, Last):sin²(A) + 2sin(A)cos(A) + cos²(A) + sin²(A) - 2sin(A)cos(A) + cos²(A)
Combining like terms:2sin²(A) + 2cos²(A)
Using the identity sin²(A) + cos²(A) = 1:2(1) = 2
Right-hand side Hence verified
A slice of carrot cake from The Cheesecake Factory contains 1,560 calories. This represents 75% of the average daily calorie requirement for many adults. Find the average daily calorie requirement for these adults.
Using proportions, it is found that the average daily requirement for these adults is of 2080 calories.
--------------------
Percentage problems are solved by proportions, using a rule of three.1560 calories is 75% = 0.75 of the calorie requirement for many adults.How much is 100% = 1?The rule of three is:
1560 calories - 0.75
x calories - 1
Applying cross multiplication:
\(0.75x = 1560\)
\(x = \frac{1560}{0.75}\)
\(x = 2080\)
The average daily requirement for these adults is of 2080 calories.
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Which phrase is equivalent to the expression (17 times 4)-35
PLEASE HELP I’ll give 25 points
The reciprocal of 18 is. The reciprocal of is 2/3 is
Answer:
1/18
3/2
Step-by-step explanation:
18 = 18/1 if the reciprocal means to flip the denominator and the numerator then just witched them so it would be 1/18
2/3 would be 3/2
In order to find the reciprocal of a number, we should flop it over.
In order to find the reciprocal of a fraction, then the numerator & denominator switch places.
Kindly consult the following formula for more details:-
\(\sf{The~reciprocal~of~a~is~\displaystyle\frac{1}{a}}\)
\(\sf{The~reciprocal~of~\displaystyle\frac{a}{b} ~is~\frac{b}{a}}\)
According to the formula, the reciprocals are;-
\(\sf{Reciprocal \ of \ 18:-{\boxed{\displaystyle\frac{1}{18}}}\)
\(\sf{Reciprocal~of~\displaystyle\frac{2}{3}:- {\boxed{\frac{3}{2}}\)
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Please help me thank you
Answer:
I don't see the photo
Step-by-step explanation:
y = 5/2x -11 that is the correct answer mark me as brainliest
An investigator predicts that dog owners in the country spend more time walking their dogs than do dog owners in the city. The investigator gets a sample of 21 country owners and 23 city owners. The mean number of hours per week that city owners spend walking their dogs is 10.0. The standard deviation of hours spent walking the dog by city owners is 3.0. The mean number of hours country owners spent walking theirs dogs per week was 15.0. The standard deviation of the number of hours spent walking the dog by owners in the country was 4.0. Do dog owners in the country spend more time walking their dogs than do dog owners in the city?
Answer:
Yes dog owners in the country spend more time walking their dogs than do dog owners in the city
Step-by-step explanation:
From the question we are told that
The sample size from country is \(n_1 = 21\)
The sample size from city is \(n_2 = 23\)
The sample mean for country is \(\= x_1 = 15 \)
The Sample mean for city is \(\= x_2 = 10\)
The standard deviation for country is \(\sigma _1 = 4\)
The standard deviation for city is \(\sigma _2 = 3\)
Let the level of significance is \(\alpha = 0.05\)
The null hypothesis is \(H_o : \mu_1 = \mu_2\)
The alternative hypothesis is \(H_a : \mu_1 > \mu_2\)
The pooled standard deviation is mathematically represented as
\(s = \sqrt{ \frac{s_1 ^2 * (n_1 - 1 ) + s_2 ^2 * (n_2 - 1 )}{ df} }\)
Here df is the degree of freedom which is mathematically represented as
\(df = n_1 + n_2 - 2\)
\(df = 21 + 23 -2 \)
\(df = 42\)
So
\(s = \sqrt{ \frac{4 ^2 * (15.0 - 1 ) + 3 ^2 * (10 - 1 )}{ 42} }\)
\(s = 3.5\)
Generally the test statistics is mathematically represented
\(t = \frac{\= x_1 - \= x_2 }{ s * \sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }\)
\(t = \frac{ 15 -10 }{ 3.5 * \sqrt{\frac{1}{ 21 } + \frac{1}{23} } }\)
\(t = 4.733\)
Generally the p-value is obtained from the student t-distribution table table , the value is
\(P(T > 4.733)= t_{4.733, 42 } = 0.000013 \)
From the calculation we see that
\(p-value < \alpha\)
So we reject the null hypothesis
Hence we can conclude that there is sufficient evidence to support the claim that dog owners in the country spend more time walking their dogs than do dog owners in the city
A tablecloth has a length of
9/8 meters and a breadth of 5/8 meters. What is the area of the tablecloth?
Answer:
45/64 m²
Step-by-step explanation:
We are given the length and width of the tablecloth (breath = width).
Length = 9/8 mWidth = 5/8 mWe know that the formula for the area of a rectangle is A = L × W.
Assuming the tablecloth is in the shape of a rectangle (since the problem gives us length and width), we can substitute the length and width into the formula.
A = 9/8 × 5/8 A = 45/64The area of the tablecloth is 45/64 m².
Solve the Quadratic Below:
y=2x²-7x-4x
The solution to the quadratic equation 2x² - 7x - 4x is x = 0 and x = 11/2.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, y = 2x² - 7x - 4x.
y = 2x² - 11x.
y = x(2x - 11).
Or,
x(2x - 11) = 0.
x = 0 Or 2x - 11 = 0 ⇒ 2x = 11 ⇒ x = 11/2.
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1 a tobacco company produces blends of tobacco, with each blend containing various proportions of turkish, domestic, and other tobaccos. the proportions of turkish and domestic in a blend are random variables with joint density function (x
(a) 0.5, (b) f_Y(y) = 12y(1-y), (c) 9/128, (d) 7/36 - Probability calculations using joint density function.
(a) To find the Probability that the Turkish tobacco represents over a portion of the mix, we want to incorporate the joint thickness capability over the district where x > 0.5 and y < 1 - x. This gives:
P(X > 0.5) = ∫[0.5,1]∫[0,1-x] 24xy dy dx = 0.5
Consequently, the Probability that the Turkish tobacco represents over around 50% of the mix is 0.5.
(b) To find the negligible thickness capability for the extent of homegrown tobacco, we really want to incorporate the joint thickness capability over all potential upsides of Turkish tobacco:
f_Y(y) = ∫[0,1-y] 24xy dx = 12y(1-y) ; 0 < y < 1
Thusly, the peripheral thickness capability for the extent of homegrown tobacco is f_Y(y) = 12y(1-y).
(c) To find the Probability that the extent of Turkish tobacco is under 1/8 given that the mix contains 3/4 homegrown tobacco, we really want to utilize Bayes' standard:
P(X < 1/8 | Y = 3/4) = P(X < 1/8 ∩ Y = 3/4)/P(Y = 3/4)
We can find the numerator by coordinating the joint thickness capability over the district where x < 1/8 and y = 3/4:
∫[0,1/8] 24xy dx = 27/128
To find the denominator, we coordinate the joint thickness capability over all potential upsides of Turkish tobacco when y = 3/4:
∫[0,1/4] 24xy dx = 3
Thusly, the contingent Probability is:
P(X < 1/8 | Y = 3/4) = (27/128)/3 = 9/128
(d) To find the likelihood that the extent of homegrown tobacco is over two times the extent of the Turkish tobacco, we want to incorporate the joint thickness capability over the area where y > 2x and x + y < 1. This gives:
P(Y > 2X) = ∫[0,1/3]∫[2x,1-x] 24xy dy dx + ∫[1/3,1/2]∫[2x,1-x] 24xy dy dx
= 7/36
Accordingly, the likelihood that the extent of homegrown tobacco is over two times the extent of the Turkish tobacco is 7/36
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The complete question is:
A tobacco company produces blends of tobacco, with each blend containing various proportions of Turkish, domestic, and other tobaccos. The proportions of Turkish and domestic in a blend are random variables with joint density function (X = Turkish and Y = domestic) 24xy ;0< x, y < 1, x +y<1 fx.y(1,7) (2) ; otherwise (a) (1 point) Find the probability that in a given box the Turkish tobacco accounts for over half the blend. Page 2 (b) (1 point) Find the marginal density function for the proportion of the domestic tobacco. (c) (1 point) Find the probability that the proportion of Turkish tobacco is less than 1/8 if it is known that the blend contains 3/4 domestic tobacco. (d) (2 points) Find the probability that the proportion of domestic tobacco is more than twice the proportion of the Turkish tobacco.