6. The measure of each angle is m∠ E = 46°, m∠ D = 46°.
Angle of elevation from point A to B (∠ E ) is the angle between the horizontal line from A to B.
And, Angle of depression from B to A ( ∠D ) is the angle from the horizontally downward line from B to A.
As we can see that all the horizontal lines are in parallel to each other,
Alternative Interior Angle : When two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.
With the help of above theorem,
Angle of elevation from point A to B = Angle of depression from point B to A,
∠E and ∠D are interior opposite angles.
Then, m ∠ E = m ∠ D
3x + 1 = 2(x + 8) ( Given )
3x + 1 = 2x + 16
x = 15,
So, m∠ E = 3x + 1 = 45 + 1 = 46°
Hence, m∠D = 46°
7. The measure of each angle is m∠ E = 20°, m∠ D = 20°.
By following same method as given above we will solve this question.
So, As we know that
Angle of elevation from point A to B = Angle of depression from point B to A,
∠E and ∠D are interior opposite angles.
Then, m ∠ E = m ∠ D
5(x - 2) = (x + 14)
5x - 10 = x + 14
5x -x = 14 + 10
4x = 24
x = 24/4 = 6
So, m∠ D = (x + 14) = 6 + 14 = 20°
Hence, m ∠ E = 20°
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Plz help me and give me the right answer cause I only need to get on 90 on ixl and I am on 82 plz help
Answer:
I think p= -3 and q= -2. Or the other way around. I'm not completely sure.
IS THIS CORRECT PLEASE
Answer:
I honestly forgot
Step-by-step explanation:
For a data set of weights? (pounds) and highway fuel consumption amounts? (mpg) of eight types of? automobile, the linear correlation coefficient is found and the? P-value is 0.001. Write a statement that interprets the? P-value and includes a conclusion about linear correlation.The? P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is nothing?%, which is ? low, high, so there ? is not is sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles
Answer:
The correct option is;
Low
Step-by-step explanation:
Given that the P-value of the linear correlation = 0.001, we have that the P-value is a demonstration that a linear correlation that has a value in the range of the given correlation is ,most arguably very low
From the z-table, a P-value of 0.001 corresponds to a z-value of -3.09, we have that in a normal distribution since 95% of the scores have a z-score of between -2 and 2, the z-score of -3.09 is very distant from the mean and having a low value, whereby the P-value shows that the likelihood of finding another linear correlation that is as far from the mean as the given correlation is very low.
Which of the following is not considered to be one of the components of a time series?
A. Cycles
B. Seasonality
C. Trend
D. Variance
The variance of the following is not regarded as one of the time series' components.
What is variance ?
Three elements can be separated out of an observed time series: the trend, which has a long-term direction the seasonal, calendar-related movements and the irregular, unsystematic, short-term variations. In light of this, while examining the time series' components, we discover that variance is not one of them. naive strategy a method of estimation that uses last period's actuals as the forecast for current period without making any adjustments or attempting to identify the causes. A time series has four parts. long-term pattern Cycle-like impact Seasonal impact Variation at random. Noise is simply the term for random deviations from a time series' expected pattern.
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if you were planning a meal for 24 people, how many dozens eggs would you need to buy if each person were to have 2 eggs each
Answer:
4
Step-by-step explanation:
If each person has 2 eggs, you'd need 48, and since a dozen is 12, 12*4=48.
Answer:
4 dozen eggs
Step-by-step explanation:
12 is a dozen and 12+12=24.
So you would need 4 dozen eggs to give each person 2 eggs.
What value is passed as the tax_percentage argument in the function call split_check(60.52, 5, .07, tip_percentage=0.18)? answer error if an error occurs.
In the function call, the argument tax_percentage is assigned the value of 0.07.
In the function call split_check(60.52, 5, .07, tip_percentage=0.18), the value passed as the tax_percentage argument is 0.07.
The function split_check is being called with the following arguments:
60.52 as the amount of the check
5 as the number of people to split the check among
0.07 as the tax percentage
0.18 as the tip percentage (provided as a keyword argument tip_percentage=0.18)
Therefore, the value 0.07 is passed as the tax_percentage argument in the function call.
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kallie is creating use cases, data flow diagrams, and entity relationship diagrams. in what phase of the systems development life cycle (sdlc) will she do this?
Kallie will perform these tasks in the Analysis phase of the Systems Development Life Cycle (SDLC).
In the Systems Development Life Cycle (SDLC), the Analysis phase is where Kallie will create use cases, data flow diagrams, and entity relationship diagrams. This phase is the second phase of the SDLC, following the Planning phase. During the Analysis phase, Kallie will gather detailed requirements and analyze the current system or business processes to identify areas for improvement.
Use cases are used to describe interactions between actors (users or systems) and the system being developed. They outline the specific steps and interactions necessary to achieve a particular goal. By creating use cases, Kallie can better understand the requirements and functionality needed for the system.
Data flow diagrams (DFDs) are graphical representations that illustrate the flow of data within a system. They show how data moves through different processes, stores, and external entities. These diagrams help Kallie visualize the system's data requirements and identify any potential bottlenecks or inefficiencies.
Entity relationship diagrams (ERDs) are used to model the relationships between different entities or objects within a system. They depict the structure of a database and show how entities are related to each other through relationships. ERDs allow Kallie to define the data structure and relationships required for the system.
By creating use cases, data flow diagrams, and entity relationship diagrams during the Analysis phase, Kallie can gain a deeper understanding of the system's requirements, data flow, and structure. These artifacts serve as important documentation for the subsequent phases of the SDLC, guiding the design, development, and implementation processes.
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Please help homework due
Answer:
X≤3
Step-by-step explanation:
This is because the arrow is moving down the number line
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP
Last year, "Raina" opened an investment account with $6500 . At the end of the year, the amount in the account has increased by 23% .
year end amount=_ X original amount
Year end amount_
Answer:
principal=$6500
time=1year
rate=23%
Step-by-step explanation:
amount=p(1+r/100)^t=$6500(1+23/100)=$6500×1.23=$7995 is total end amount.
interest gain=total end amount- principal=$7995-$6500=$1495
3/4x +3/2x=9/4
What is the answer to this
the research hypothesis posits that the treatment association between two variables will be greater than zero (h1: rxy > 0). what would be concluded for r(29) = .267, p > .05?
Based on the given information, we cannot reject the null hypothesis that there is no significant treatment association between the two variables (H0: rxy = 0).
The correlation coefficient (r) is 0.267, which indicates a positive but weak relationship between the two variables. However, the p-value is greater than 0.05, which means that the result is not statistically significant at the 5% level of significance. Therefore, we fail to reject the null hypothesis (H0) and conclude that there is no significant treatment association between the two variables. This suggests that the treatment did not have a significant effect on the relationship between the two variables.
The calculations are as follows:
t = r * √(n-2)/√(1-r²)t = 0.267 * √(29-2)/√(1-0.267²) = 1.15Degrees of freedom (df) = n-2 = 29-2 = 27Using a two-tailed test at α = 0.05, the critical t-value is ±2.052
Since 1.15 < 2.052 and the p-value > 0.05, we fail to reject the null hypothesis that there is no significant treatment association between the two variables.
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are there more ways to shuffle a deck of cards than atoms
There are 8.0658 × \(10^{67}\) more form to shuffle a deck of cards than atoms.
What is the factorial?
Factorial is an important function, which is used to find how many ways things can be arranged or the ordered set of numbers.The factorial of a whole number is the function that multiplies the number by number below it.
The number of ways to shuffle a deck of cards is astronomically large, far greater than the estimated number of atoms in the observable universe.
A standard deck of 52 playing cards can be arranged in 52 factorial ways, denoted as 52!. This means multiplying all the positive integers from 1 to 52 together:
52! = 52 × 51 × 50 × ... × 3 × 2 × 1=8.0658 × \(10^{67}\).
Therefore,the exact value of 52! is an large number, approximately equal to 8.0658×\(10^{67}\).
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A software company is selling a new game in a standard edition and a collector's edition the box of the standard edition has a volume of 20 cubic inches and the box for the collector's edition has a volume of 50 cubic inches 30 cubic inches the company received an order for 75 copies
Answer:
option A is correct
75 − s = c
20s + 30c = 1,870
Step-by-step explanation:
The question is not complete.
Here is a complete form
"A software company is selling a new game in a standard edition and a collector's edition the box of the standard edition has a volume of 20 cubic inches and the box for the collector's edition has a volume of 50 cubic inches 30 cubic inches the company received an order for 75 copies of the game, and the total volume of the order to be shipped is 1,870 cubic inches. Which of the following systems of equations can be used to determine the number of standard edition games, s, and collector’s edition games, c, that were ordered?"
s+c=75
75 − s = c
20s + 30c = 1,870
the options are
A. 75 − s = c
20s + 30c = 1,870
B. 75 − s = c
30s + 20c = 1,870
C. s − c = 75
25(s + c) = 1,870
D. s − c = 75
30s + 20c = 1,870
The angle made by the ladder with the ground is degrees, and the length of the ladder is inches.
Answer:
59.04°
58.31 inches
Step-by-step explanation:
The solution triangle is attached below :
Since we have a right angled triangle, we can apply trigonometry to obtain the angle ladder makes with the ground;
Let the angle = θ
Tanθ = opposite / Adjacent
Tanθ = 50/30
θ = tan^-1(50/30)
θ = 59.036°
θ = 59.04°
The length of ladder can be obtained using Pythagoras :
Length of ladder is the hypotenus :
Hence,
Hypotenus = √(adjacent² + opposite²)
Hypotenus = √(50² + 30²)
Hypotenus = √(2500 + 900)
Hypotenus = 58.309
Length of ladder = 58.31 inches
Answer:
59°
58.3 inches
Step-by-step explanation:
Here is the full question :
A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground. The angle made by the ladder with the ground is degrees, and the length of the ladder is inches.
Please check the attached image for a diagram explaining this question
The angle the ladder makes with the ground is labelled x in the diagram
To find the value of x given the opposite and adjacent lengths, use tan
tan⁻¹ (opposite / adjacent)
tan⁻¹ (50 / 30)
tan⁻¹ 1.667
= 59°
the length of the ladder can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
√(50² + 30²)
√(2500 + 900)
√3400
= 58.3 inches
Working for a UK based company, Harry successfully completed a sale worth £100,000 this morning, and lan successfully completed a sale worth €25,000 this afternoon. Therefore, the two brought in exactly £125,000 worth of sales today. What is the assumption of the argument? A. Neither Harry nor lan made any other sales today. B. The sales team consists of more than just lan and Harry. C. Harry is a better salesperson than lan. D. Sales to clients in the morning are worth more than those in the afternoon.
E. lan is a better salesperson than Harry.
The assumption of the argument is, Neither Harry nor lan made any other sales today. Option A is correct.
The argument is based on the assumption that the two sales made by Harry and lan are the only sales made by them today, and there were no other sales made by anyone else in the company. This assumption is necessary for the conclusion that the two brought in exactly £125,000 worth of sales today to be valid.
Option B is irrelevant to the argument, as it does not affect the conclusion about the total sales made by Harry and lan. Option C and E are not relevant, as there is no information given about the comparative sales skills of Harry and lan. Option D is also not relevant, as the time of the day when the sales were made is not related to the total sales made by Harry and lan. Hence option A is correct.
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each triangle below with the value of its missing side length. 30 9 25 20 29 15
Answer:
30, 9, 15, 29
Step-by-step explanation:
Triangle 1, yellow
b= √34²- 16²= √900= 30Triangle 2, blue
a= √41²- 40²= √81= 9Triangle 3, green
c= √12²+9²= √225= 15Triangle 4, red
c= √21²+20²= √841= 291.
For options A-E choose ALL of the expressions that are equivalent to 3(4x + 3).
A.
12x +3
B.
3(3+4x)
C.
43 +3 + 4x + 3 + 4x + 3
D
7.0 +6
E.
12x + 9
Answer:
B and E
Step-by-step explanation:
A. Incorrect; the expanded form of 3(4x + 3) is 12x + 9
B. Correct; the cumulative property of addition was applied here.
C. Incorrect; this adds up to 8x + 52, which is not equivalent to 12x + 9
D. Incorrect; this equals 13
E. Correct; this is the expanded form of 3(4x + 3)
Answer:
b e
becuase it is b and e
You are creating a 4-digit pin code. How many choices are there in the following cases? a. With no restriction, b. No digit is repeated, c. No digit is repeated, 2 and 5 must be present.
the number of choices in each case is:
a. With no restriction: 10,000 choices.
b. No digit is repeated: 5,040 choices.
c. No digit is repeated, 2 and 5 must be present: 56 choices.
Let's calculate the number of choices in each case:
a. With no restriction:
For each digit in a 4-digit pin code, we have 10 choices (0-9). Since there are 4 digits in total, the number of choices is 10⁴ = 10,000.
b. No digit is repeated:
For the first digit, we have 10 choices (0-9).
For the second digit, we have 9 choices (any digit except the one chosen for the first digit).
For the third digit, we have 8 choices (any digit except the two chosen for the first and second digits).
For the fourth digit, we have 7 choices (any digit except the three chosen for the first, second, and third digits).
The total number of choices is 10 * 9 * 8 * 7 = 5,040.
c. No digit is repeated, and 2 and 5 must be present:
We have two fixed digits (2 and 5) that must be present in the pin code.
For the first fixed digit (2), we have only 1 choice.
For the second fixed digit (5), we have only 1 choice.
For the remaining two digits, we have 8 choices each (any digit except 2 and 5).
The total number of choices is 1 * 1 * 8 * 7 = 56
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How can you evaluate this expression using the distributive property?
4×(50−1)
Enter your answer by filling in the boxes.
4×(50−1)
? × 50 − ? × 1
? − ?
btw: due TODAY! PLEASE ANY ONE .
= ?
Answer:
4 (50 - 1)=196
Step-by-step explanation:
Can you please help me....Thank you!
Answer:
#1
mean=7
median=8
range=9
mode=3
#2
mean=15
mode=17
range=14
median=14
#3
mean=11
mode=none
range=10
median=4.5
#4
mean=6
mode=4
range=13
median=4
Step-by-step explanation:
there you go, I think that's right but it's been awhile since I've had to do mode mean median and range
5.1
9xy – 12xy + 18y
Answer:
-3xy + 18y
Explanation:
9xy−12xy+18y
=9xy+−12xy+18y
Combine Like Terms:
=9xy+−12xy+18y
=(9xy+−12xy)+(18y)
=−3xy+18y
Answer:
=−3xy + 18y
Answer:
-3xy + 18y
Step-by-step explanation:
what is the equation of the horizontal asymptote associated with this function . describe waht this means in termsof the mouths ph overtimer
The horizontal asymptote of function f(x) is y=6.5, which is a straight line, which means that even if time is infinite, the pH of the mouth will not rise above 6.5, which is the normal pH of the mouth.
A function's horizontal asymptote is a horizontal line with which the function's graph appears to coincide but does not actually coincide. The horizontal asymptote is used to determine the behavior of the function.
When either lim x f(x) = k or lim x - f(x) = k, the horizontal asymptote of a function y = f(x) is a line y = k. . It is commonly abbreviated as HA. In this case, k is a real number that the function approaches when x is extremely large or extremely small.However, the maximum number of asymptotes that a function can have is 2.
Given,
\(f(x)=\frac{6.5x^2-89.4x+3734}{x^2+576}\)
The horizontal asymptote of the function f(x) can be determined by
\(y=\lim_{x \to \infty} f(x)\\\\=\lim_{x \to \infty}\frac{6.5x^2-89.4x+3734}{x^2+576}\\\\=\lim_{x \to \infty}\frac{x^2(6.5-\frac{89.4}{x}+\frac{3734}{x^2})}{x^2(1+\frac{576}{x^2})}\\\\=\lim_{x \to \infty}\frac{(6.5-\frac{89.4}{x}+\frac{3734}{x^2})}{(1+\frac{576}{x^2})}\\\\=\frac{(6.5-\frac{89.4}{ \infty}+\frac{3734}{ \infty})}{(1+\frac{576}{ \infty})}\\\\=\frac{6.5-0+0}{1+0}\\\\=\frac{6.5}{1}=6.5\)
Thus, the horizontal asymptote of function f(x) is y=6.5 which is straight line which means even the time reaches infinity the pH of mouth will not increase more than 6.5, which is the normal pH of mouth.
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Your question is incomplete, here is the complete question.
The function \(f(x)=\frac{6.5x^2-89.4x+3734}{x^2+576}\) models the pH level f(x) of a mouth x minutes after eating food containing sugar. The graph of this function is shown.
What is the equation is the horizontal asymptote associated with is function? Describe what this means in terms of mouth's pH level over time.
the quotient of 254 and k is 94
Answer:
k is 23876
Step-by-step explanation:
you have to multiply 254 and 94 by eachothe then that's your answer!
Find the number of turns or bumps in the graph of the function f(x) = 7x3 - 14x2 + 2.
The number of turns or bumps in the graph of the function\(f(x)=7x^3-14x+2\) is 2.
What is function?
A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B. A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math.
f = {(a,b)| for all a ∈ A, b ∈ B}
Given,
\(f(x)=7x^3-14x+2\)
Answer has shown in the attached file.
Hence, The number of turns or bumps in the graph of the function\(f(x)=7x^3-14x+2\) is 2.
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For the following translation, (x, y) (x-3, y+8) which direction would the figure go in?
its not that i want to kill her is just i dont want her to be alive :)
Answer: Such a feeling sure is conflicting. You don't want her alife but dead but at the same time you don't want to be the one committing the murder. My sympathies.
i need help please i’ll give u a brainliest
Answer:
12
Step-by-step explanation:
c = sqrt(a^2+b^2)
Imput numbers and solve for b!
He fits all of his boxes exactly into a larger box with a volume of 1,152
cubic inches. How many gift boxes are in the larger box? Explain how you know.
Enter the correct numbers in the boxes to complete the statement and equation.
on solving the provided the question, we got know that - width = 6 in, length = 16 in, and height = 12 in
Waht is factor?Decomposing or decomposing an entity (number, matrix, polynomial, etc.) into another entity or product of coefficients, the multiplication of which yields the original number, matrix, etc. is known in mathematics as factorization or factorization .
A rectangular prism with the dimensions l, w, and h has the following volume:
\(V = l * w * h\)
\(V = 1152 in^3\\\)
\(l = 2w + 4\\h = 18 - w\)
\(So,\\ V = l * w * h\\ \\ 1152 = (2w + 4) * w * (18 - w)1152 = (2w^2+ 4w) * (18 - w)\\ 1152 = 36w^2 + 72w - 2 w^3 - 4w^2\\ -2w^3 + 36w^2 - 4w^2 + 72w = 1152\\ -2w^3 + 32w^2 + 72w = 1152\\ -2w^3+ 32w^2 + 72w - 1152 = 0\\ -w^3+ 16w^2 + 36w - 576 = 0\\ w^3 - 16w^2 - 36w + 576 = 0\\ (w^3 - 36w) - (16w^2 - 576) = 0\\\)
\(Factor:\\ w * w^2 - w * 36 - (16 * w^2 - 16 * 36) = 0\\ w(w^2 - 36) - 16(w^2 - 36) = 0\\(w - 16)(w^2 - 36) = 0\\(w - 16)(w^2 - 6^2) = 0\\(w - 16)(w - 6)(w + 6) = 0\\\)
So,
w - 16 = 0, or w - 6 = 0, or w + 6 = 0.
w = 16, or w = 6, or w = -6.
Since width cannot be zero, w = –6.
l = 2 * 16 + 4 = 32 + 4 = 36 and h = 18 - 16 = 2 if w = 16
However, because the width must be smaller than the height (h > w), w 16.
l = 2 * 6 + 4 = 12 + 4 = 16 and h = 18 - 6 = 12 if w = 6, respectively.
Consequently, w = 6 in, l = 16 in, and h = 12 in
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angle PQR = angle PRQ. then prove that angle PQS = angle PRT
A.68
Linear pair of angles:
If Non common arms of two adjacent angles form a line, then these angles are called linear pair of angles.
Axiom- 1
If a ray stands on a line, then the sum of two adjacent angles so formed is 180°i.e, the sum of the linear pair is 180°.
Axiom-2
If the sum of two adjacent angles is 180° then the two non common arms of the angles form a line.
The two axioms given above together are called the linear pair axioms.
-----------------------------------------------------------------------------------------------------
Solution:
Given,
∠PQR = ∠PRQ
To prove:
∠PQS = ∠PRT
Proof:
∠PQR +∠PQS =180° (by Linear Pair axiom)
∠PQS =180°– ∠PQR — (i)
∠PRQ +∠PRT = 180° (by Linear Pair axiom)
∠PRT = 180° – ∠PRQ
∠PRQ=180°– ∠PQR — (ii)
[∠PQR = ∠PRQ]
From (i) and (ii)
∠PQS = ∠PRT = 180°– ∠PQR
∠PQS = ∠PRT
Hence, ∠PQS = ∠PRT
PLEASE MARK THIS AS A BRILLIANT ANSWER
A tank can hold 40,000 gallons of water. If 500 gallons of water are
used each day, write the equation that represents the amount of water
in the tank x days after it is full.
Answer:
25
Step-by-step explanation: