The distance between points A and B is given as follows:
E. 54.4 feet.
What is the law of cosines?The law of cosines states that we can find the length of the missing side c of a triangle as follows:
c² = a² + b² - 2abcos(C)
In which the parameters of the equation are given as follows:
C is the angle opposite to side c.a and b are the lengths of the other sides.From the diagram given by the image presented at the end of the answer, the values of the parameters are given as follows:
a = 45, b = 69, C = 52º.
Hence the distance between points A and B is the missing length C obtained as follows:
c² = a² + b² - 2abcos(C)
c² = 45² + 69² - 2 x 45 x 69 x cos(52º)
c² = 2962.74223826
c = sqrt(2962.74223826)
c = 54.4 feet.
Meaning that option E is correct.
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In which diagram do angles 1 and 2 form a linear pair?
2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1.
3 lines extend from a point and form 2 angles, labeled 1 and 2. Both angles add up to 90 degrees.
A horizontal line has 2 lines extending from a midpoint forming 3 angles. Labeled from left to right: 1, 2, 3.
A horizontal line has 1 line extending from it. Angles 1 and 2 are formed.
Mark this and return
The diagram where angles 1 and 2 form a linear pair is option D which is that a horizontal line has 1 line extending from it. Angles 1 and 2 are formed.
Given that angle 1 and 2 form a linear pair.
We know that a linear pair is an angle that are formed when two lines intersect each other at a single point.
In our case when a horizontal line has 1 line extending from it and when angles 1 and 2 are formed shows a linear pair.
In first part when two lines intersect they donot form 4 angles.
In second part when 3 lines extend from a point they don't form right angle between the lines.
Hence the linear pair angles are shown by the statement that a horizontal line has 1 line extending from it. Angles 1 and 2 are formed.
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Each year you sell 3,000 units of a product at a price of $29.99 each. The variable cost per unit is $18.72 and the carrying cost per unit is $1.43. You have been buying 250 units at a time. Your fixed cost of ordering is $30. What is the economic order quantity? A) 342 units B) 329 units OC) 367 units D) 355 units E) 338 units
The economic order quantity is approximately 355 units, which corresponds to option D) 355 units.
To find the economic order quantity (EOQ), we can use the following formula:
EOQ = sqrt((2 * Annual Demand * Fixed Ordering Cost) / Carrying Cost per Unit)
Given information:
Annual Demand = 3,000 units
Fixed Ordering Cost = $30
Carrying Cost per Unit = $1.43
Substituting the values into the formula:
EOQ = sqrt((2 * 3,000 * 30) / 1.43)
EOQ = sqrt(180,000 / 1.43)
EOQ = sqrt(125,874.125)
EOQ ≈ 354.91
Rounding the EOQ to the nearest whole number, we get:
EOQ ≈ 355 units
Therefore, the economic order quantity is approximately 355 units, which corresponds to option D) 355 units.
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suppose that x and y are substitute goods. if the price of good x increases, we can expect:
If the price of good x increases, the demand curve for good Y to shift to the right.
Complement goods are defined as the goods that a consumer likes to consume with a given good. Example of goods like it , peanut butter and jelly.
Substitute goods are those goods that a consumer could consume instead of a given good. For example, peanut butter and almond butter. The Market Equilibrium is used to define the intersection between the demand and supply curve. In other words, the market equilibrium occurs when price and quantity are same.o
When the price of a substitute , x increases, the demand for the second good increases. That is to say, there is a positive relationship between these two variables. In other words the price of good x increased , the demand for x will increase because it is more attractive for consumers. Therefore, the demand curve of y all shifts to the right.
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is - 3/10 rational or irrational?
Answer:
rational
Step-by-step explanation:
Answer:
The fraction 3/10 is a rational number. All fractions are rational numbers.
Which of the following examples best represents the use of an interval scale? measuring the number of cookie boxes sold by scouts on the west coast of a town versus those sold on the east coast of the town naming the different car brands seen in a school's parking lot assessing students' ratings of their professors' performance on a five-point scale ranging from poor to excellent ranking the participants of a race based on their performance
Answer:
students' ratings of their professors' performance on a five-point scale ranging from poor to excellent
Step-by-step explanation:
There are four type of scales in mathematics. They include:
1. Nominal scale : they do not measure quantity. they are used to classify a population into two or more scales that are exhaustive and mutually exclusive. e.g. classifying a population based on gender, naming the different car brands seen in a school's parking lot
2. Ordinal scale : this scale measures ranks a population from best to worst or from least to most. e.g. ranking the participants of a race based on their performance
3. Interval scale : this scale has the property of order and equal intervals. Zero is not meaningful.
Interval scale is used when the difference between the numbers are meaningful. e.g. students' ratings of their professors' performance on a five-point scale ranging from poor to excellent Here a child who is scored 1, did very poorly and a child scored 5, performed excellently well.
4. Ratio scale : this scale has the property of order, a meaningful zero and equal intervals.
Doing homework need help with this please.
Answer:
The value of x = 64. Hence, option A is correct.
Step-by-step Explanation:
\(\log _4\left(x\right)=3\)
We know that the rule:
\(y\:=\:\log _a\left(x\right)\)
can be represented as:
\(x\:=\:a^y\)
so
\(\log _4\left(x\right)=3\)
4³=x
x = 64
Thus, the value of x = 64. Hence, option A is correct.
"In the formula, P3 = Dx/(R − g), the dividend is for period:
a. four.
b. two.
c. one.
d. five.
e. three."
The dividend in the formula P3 = Dx/(R - g) is for period e. three.
In the given formula P3 = Dx/(R - g), the dividend, Dx, refers to the cash flow or payment made during a specific period. The subscript "3" in P3 indicates the period of time for which the dividend is associated.
In the given formula, P3 = Dx/(R - g), the subscript 3 represents the period of time for which we are calculating the dividend.
The dividend, Dx, represents the cashflow or payment made during a specific period. In this case, the dividend is associated with period 3.
Therefore, the dividend in the formula corresponds to period e. three.
The dividend in the formula P3 = Dx/(R - g) is for period e. three
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Write an equivalent equation using the Subtraction Property of Equality
9y = 4y + 10
(explain how to do this to)
The Equivalent equation using the Subtraction Property of Equality is y = 2.
what is Subtraction Property of Equality?According to the Subtraction Property of Equality, if two equal items have an equal value subtracted from them or deleted, the result is a new equal amount. When two equivalent sides of a mathematical statement are separated by an equal sign, an equation is being expressed. The subtraction property is expressed as follows: If a = b, then a - c = b - c.In order to balance an equation, one must apply the same mathematical operation on both sides, which is known as the subtraction property of equality.If we have an expression as ( a + b ) = c
Then as per subtraction property of equality [ (a + b ) - b = c - b ]
Here given 9y = 4y + 10
Simplifying this equation, we get
⇒9y - 4y = 10
⇒( 9 - 4 )y = 10
⇒5y = 10
therefore, y = ( 10 ÷ 5 )
⇒y = 2
Therefore the equivalent equation is y = 2.
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HELP MEEEE PLEASEEEE!!!!!
The graph of the step function g(x) = -x] + 3 is
shown.
What is the domain of g(x)?
5
O {xx is a real number}
O {x|x is an integer}
O {XI-2 s x <5)
O {xl-1 sxs5}
Answer:
{x| -2 ≤ x < 5}
Step-by-step explanation:
The domain is the x value in a graph, function e.t.c. From the farthest point to the left of the x-axis, we see -2. And from the farthest point to the right of the x-axis, we see 5. Therefore, the domain is {x| -2 ≤ x < 5}, Option C
Look here for visuals:
The domain of the step function g(x) is (c) {x I -2 <= x <5 }
The domain of a function is the set of input values the function can take.
From the graph, the x-values begin as -2 with a closed circle, and it ends at 5 with an open circle
The open circle means that -5 is not part of the domain, while the closed circle means that -2 is inclusive of the x-values
Hence, the domain of the step function g(x) is (c) {x I -2 <= x <5 }
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how to factorise 3x-9x^2
3x-9x²
Factor out 3x from the expression
Answer: 3x^ x(1-3x)
he half-life of a certain tranquilizer in the bloodstream is 39 hours. How long will it take for the drug to decay to % of the original dosage? Use the exponential decay model, A=A, to solve.
It will take approximately 117 hours for the drug to decay to 12.5% of the original dosage.
To calculate the time it takes for the drug to decay to a certain percentage, we use the formula A = A₀(1/2)^(t/h), where A₀ is the initial dosage, t is the time elapsed, h is the half-life and A is the final dosage. Rearranging the formula, we get t = (h/log(1/2)) x log(A/A₀). In this case, we want to find the time it takes for the drug to decay to 12.5% of the original dosage, so A/A₀ = 0.125. Substituting the values, we get t = (39/log(1/2)) x log(0.125) ≈ 117 hours. Therefore, it will take approximately 117 hours for the drug to decay to 12.5% of the original dosage using the exponential decay model.
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easy geometric shapes question #6 help please!
Answer:
it will gemetry and get 15
A garden is in the shape of a square of length 353
m. Find it's (i)perimeter
and (ii) area.
Answer:
Step-by-step explanation:
Perimeter = P = 4a where a is each side of square
P = 4(353) = 1412
Area = a^2 where a is each side
A = (353)^2 = 124,609
Consider an activity with these estimates for optimistic, most likely, and pessimistic time: 11, 21, 35 . Find the mean value of the activity time. (Please provide answer accurate to two decimal place
the main answer is that the mean value of the activity time is 21.67. This is calculated using the formula (optimistic + 4 * most likely + pessimistic) / 6.
To find the mean value of the activity time, we can use the three estimates provided: optimistic, most likely, and pessimistic time.
1. The optimistic time is the shortest possible time for completing the activity, which is 11 units.
2. The most likely time is the time that is most likely to be taken to complete the activity, which is 21 units.
3. The pessimistic time is the longest possible time for completing the activity, which is 35 units.
To calculate the mean value, we can use the following formula:
Mean value = (optimistic + 4 * most likely + pessimistic) / 6
Substituting the given values, we get:
Mean value = (11 + 4 * 21 + 35) / 6
Calculating the numerator first:
11 + 4 * 21 + 35 = 11 + 84 + 35 = 130
Now, we can calculate the mean value:
Mean value = 130 / 6
Dividing 130 by 6, we get:
Mean value = 21.67 (rounded to two decimal places)
Therefore, the mean value of the activity time is 21.67.
the main answer is that the mean value of the activity time is 21.67. This is calculated using the formula (optimistic + 4 * most likely + pessimistic) / 6.
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24 less than 3 times the number itself is equals to a number.what is the number?
The number is 12.
What is algebraic expression?A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11
Given
let number be x.
3x-24 = x
3x-x = 24
2x=24
x = 12
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HAVING A BAD DAY PLEASE HELP
Find the slope of each line (each block is one unit):
Answer:
1. 7
2. -3
4. -4/6
Step-by-step explanation:
i solved using y2-y1/x2-x1
Answer:
1. slope= 7
2. slope= -3
3. slope= -2/3
Step-by-step explanation
you find slope by doing rise over run (how much you have to go up/down and left/right to get to the next point.
for the first one, to get from the bottom point to the top point, you have to rise 7, and go to the right 1, which makes 7/1, simplified to 1.
for the second one, you go to rise 6, and then go to the left 2, which makes 6/-2, it is negative because when you have to go left, it just means a negative slope. this simplifies to -3
for the third one, you rise 4 and go to the left 6 from the bottom point to the top point. this makes 4/-6, simplifies to -2/3/
hope this help, i'm not the best explainer though, sorry :(
Can someone help me????
please help quick!!!!!!
Step-by-step explanation:
3x=x+70(exterior angle of a triangle is equal to 2 opposite interior angles)
or,2x=70
or,x=70/2
or,x=35
3x=3×35
=105°
plse give brainliest if u like with this solution.
11) Which of the following is zero of the polynomial x^3+x^2+x+1
1
-1
both options 1 and 2
None
please answer
Answer:
Answer: -1
Step-by-step explanation:
The Polynomial Remainder Theorem
It states that the remainder of the division of a polynomial f(x) by (x-r) is equal to f(r).
We have the polynomial:
\(f(x)=x^3+x^2+x+1\)
And we need to determine if x=1 and/or x=-1 are zeros of the polynomial.
Considering the polynomial remainder theorem, if we try any value for x, and the remainder is zero, then that value of x is a root or zero of the polynomial.
Find:
\(f(1)=1^3+1^2+1+1\)
f(1)=4
Thus, x=1 is not a zero of f(x)
Now, find:
\(f(-1)=(-1)^3+(-1)^2+(-1)+1\)
\(f(1)=-1+1-1+1=0\)
Thus, x=-1 is a zero of f(x)
Answer: -1
Which choice provides the best evidence for the
answer to the previous question?
A) Lines 1-4 ("To avoid . . . state")
B) Lines 7-9 ("he should . . . solicitude")
C) Lines 27-29 ("It is . . . perfection")
D) Lines 34-38 ("The municipal . . . community")
Lines 34-38 ("The municipal . . . community") provides the best evidence.
Lines 34-38 provide the best evidence that Burke would disapprove of Paine’s remarks in the final paragraph of Passage 2. “The municipal corporations of that universal kingdom are not morally at liberty at [the living’s] pleasure, and on their speculations of a contingent improvement, wholly to separate and tear asunder the bands of their subordinate community.” In these lines, Burke is arguing that the living do not have sufficient justification to change the existing governmental structure.Choices A, B, and C do not provide the best evidence that Burke would disapprove of Paine’s remarks in the final paragraph of Passage 2, as Burke believes the living do not have sufficient justification for changing the existing governmental structure.What is evidence and example?
Evidence is defined as something that gives proof or leads to a conclusion. The suspect's blood at the scene of a crime is an example of evidence. The footprints in the house are an example of evidence that someone came inside.Learn more about Evidence
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Simplify
1-(cos^2)theta/(sin^2 )theta
A. 1
B. sin^2 theta
C. cos^2 theta
D. tan^2 theta
Which statement about f(x) =x2 + 16x + 3 is true?
Answer:
The answer is D
Step-by-step explanation:
I am very sure that the correct answer.:)
A scale drawing of AJ’s room shows the length as 5 cm and the width as 8 cm. Using a scale of 1 cm = 10 ft, find the area of the room.
Answer:
4000 sqft
Step-by-step explanation:
you multiply 5*10 which equals 50 then 8*10 which equals 80 then to find area you multiply 50*80 which equals 4000 sqft
z scores that fall below the mean are ______. a. 0 b. negative c. either positive or negative d. positive
The correct answer to the question "z scores that fall below the mean are" is "negative". Z-scores are measures of relative standing that can be used to make comparisons among the scores in the distribution by transforming raw data into standardized units.
The formula for z-score is:z = (X-μ)/σz-scores can be negative, zero, or positive numbers. A negative z-score tells us that the corresponding score is below the mean and vice versa.In addition to this, the mean of all z-scores is always zero. If the mean of all z-scores is zero, that means that z-scores are measuring deviation from the mean. If a z-score is below the mean, it means that the corresponding raw score is below the mean, which results in a negative z-score.
Z-scores that fall below the mean are negative. Z-scores are statistical values that allow analysts to transform raw data into standardized units that make comparisons possible among scores in the distribution. The formula for calculating the z-score is: z = (X-μ)/σThe z-score can be either negative, zero, or positive, depending on whether the value is below, equal to, or above the mean, respectively. Because the mean of all z-scores is always zero, z-scores can be used to measure deviation from the mean, with a negative z-score indicating that the corresponding raw score is below the mean. Z-scores allow us to compare the scores in the distribution by converting them into standard units. Negative z-scores are associated with scores that are below the mean. Conversely, positive z-scores are associated with scores that are above the mean.
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you see a woman student standing in front of the student center, now and then stopping other students to ask them questions. she says that she is collecting student opinions for a class assignment. explain why this sampling method is almost certainly biased.
This sampling method is almost certainly biased because the demographic group is dictated by location of the college. In this case the students are all college bound and have like socio economic backgrounds.
What is meant by sampling method?
Sampling is a process in statistical analysis where researchers take a predetermined number of observations from a larger population. The method of sampling depends on the type of analysis being performed, but it may include simple random sampling or systematic sampling.
A true sampling would be a mixed demographic group. A sampling from several like areas: e.g. infront of the student store, infront of the regular store, infront if a food pantry, infront of ... or even better do a blind survey.
Hence , this sampling method is almost certainly biased because the demographic group is dictated by location of the college. In this case the students are all college bound and have like socio economic backgrounds.
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What is the value of y when the value of x is 1?
Answer: y = 60
the value of y will be 60 when the value of x is 1.
Solution set = (1 , 60)
hope that helps...
find the error javier claimed that all cubic functions are odd. is he correct? if not, provide a counterexample.
Answer:
The cubic function f(x) = x3 is symmetric about the origin (it is an odd function). Here are some types of functions that are odd: Lines Through The Origin – any line with a zero y intercept (b = 0) and a nonzero slope (m not zero) will have equation f(x) = mx.
Step-by-step explanation:
Answer: No
f(x) = x³ + 2x − 5
Step-by-step explanation:
No
f(x) = x³ + 2x − 5
what is the correct way to measure the zone of inhibition?
The correct way to measure the zone of inhibition is to place a known amount of an antimicrobial agent on a solid medium.
What is Area?Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.
The zone of inhibition is then measured as the area surrounding the antimicrobial agent where microbial growth has been inhibited. This area is typically measured in millimeters. To accurately measure the zone of inhibition, it is important to ensure that the size of the inoculum and the amount of antimicrobial agent used remain constant. Additionally, it is important to consider the type of organism being studied, as different organisms can have different levels of susceptibility to the antimicrobial agent. Finally, the medium used should be appropriate for the organism being studied, as different media can produce different results.
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1. Is triangle GHJ similar to triangle LKM? Explain why or why not.
G
FOR
74ºh
72
34°
72⁰
M
Triangle GHJ and triangle LKM are similar because they possess identical proportions, despite probable size variations
How to determine the statementWe need to know the properties of similar triangles.
These properties includes;
Two triangles are said to be similar if they possess identical proportions, despite probable size variations. Their angles that match are equivalent, and the ratios of the lengths of their matching sides are proportionate.This characteristic of the property enables the derivation of diverse relationships and theorems in the field of geometry that involve triangles with identical shapes.
We can see that Triangle GHJ and triangle LKM are similar.
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statistics the art and science of learning from data 4th edition
"Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.
Statistics is the art and science of learning from data. It involves collecting, organizing, analyzing, interpreting, and presenting data to gain insights and make informed decisions. In the 4th edition of the book "Statistics: The Art and Science of Learning from Data," you can expect to find a comprehensive exploration of these topics.
This edition may cover important concepts such as descriptive statistics, which involve summarizing and displaying data using measures like mean, median, and standard deviation. It may also delve into inferential statistics, which involve making inferences and drawing conclusions about a population based on a sample.
Additionally, the book may discuss various statistical techniques such as hypothesis testing, regression analysis, and analysis of variance (ANOVA). It may also provide real-world examples and case studies to illustrate the application of statistical methods.
When using information from the book, it is important to properly cite and reference it to avoid plagiarism. Be sure to consult the specific edition and follow the guidelines provided by your instructor or institution.
In summary, "Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.
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