in the diagram above <1=135 find the measure of <3
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Related Questions
You use generally accepted facts (such as: there are approximately 6 billion people on the planet. ) without citing them is it plagiarism?
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No, this not plagiarism .You can use generally accepted facts without citing them.
What defines self-plagiarism?
Self-plagiarism is defined as a type of plagiarism in which the writer republishes a work in its entirety or reuses portions of a previously written text while authoring a new work.
What is considered general knowledge in plagiarism?
Common knowledge is typically defined as facts that are unsupported by at least five reliable sources. In the discipline of composition studies, for instance, the statement "Writing is difficult" is taken for granted because at least five reliable sources may support it.How to Avoid plagiarism common knowledge?
Quoting correctly, paraphrasing and summarizing correctly, and documenting (citing) correctly are the keys to providing credit and avoiding plagiarism; you can go to page 3 of this handout for more information. Almost all of the information you discover in outside sources needs to be documented.Learn more about plagiarism
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A shop sells skirts for 24 and hats for 15
Write an expression for the cost in pounds of x skirts and y hats
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The final expression that gives us the cost of x skirts and y hats in pounds is 24x + 15y.
In this case, our variables are x and y, which represent the number of skirts and hats, respectively. Our constants are 24 and 15, which represent the cost of one skirt and one hat, respectively. And our operations are multiplication and addition.
The cost of x skirts is simply the cost of one skirt (which is 24) multiplied by the number of skirts (which is x). So, the expression for the cost of x skirts would be:
24x
Similarly, the cost of y hats is the cost of one hat (which is 15) multiplied by the number of hats (which is y). So, the expression for the cost of y hats would be:
15y
To find the total cost of x skirts and y hats, we simply add the two expressions together. Thus, the expression for the cost in pounds of x skirts and y hats is:
24x + 15y
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True or False A vector in space may be described by specifying its magnitude and its direction angles.
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True. A vector in space can be described by specifying its magnitude and its direction angles. The magnitude of a vector represents its length or size, while the direction angles determine the orientation of the vector with respect to a reference axis system.
In three-dimensional space, a vector can be decomposed into its components along the x, y, and z axes. By using trigonometric functions, the direction angles of the vector can be determined. The direction angles are typically measured with respect to the positive x-axis, the positive y-axis, and the positive z-axis.
Once the magnitude and direction angles of a vector are known, the vector can be fully described. This description allows for precise calculations and analysis of vector quantities, such as displacement, velocity, and force, in various physical and mathematical contexts.
It's worth noting that there are alternative ways to describe vectors, such as using Cartesian coordinates or unit vectors. However, specifying the magnitude and direction angles provides a convenient and comprehensive representation of a vector in space.
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Parallelogram ABCD is a rectangle.
AC = 2y + 7
BD = 3y - 4
What's the value of Y?
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The value of y is 11.
What is a parallelogram?That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
Given that Parallelogram ABCD is a rectangle.
Consider that AC and BD are opposite sides. In a parallelogram, we know that opposite sides are congruent which means:
AC = BD
2y + 7 = 3y - 4
Solving;
2y - 3y = -4 - 7
-y = -11
y = 11
Hence, the value of y is 11.
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Please help!
The graphs of f(x)=−2x and g(x)=(12)x are shown.
What are the solutions to the equation −2x=(12)x ?
Select each correct answer.
-2
-1
2
4
Answers
Answer:
-1 and -2
Step-by-step explanation:
The function 2 represented by the equation f(x) = -(x - 2)² + 5 has the larger maximum.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
The functions are given as:
Function 1
f(x) = -(x - 4)² + 1
Function 2:
f(x) = -(x - 2)² + 5
A quadratic function is represented as a (x - h)² + k, when a is negative then, the vertex of the function is a maximum. In both functions, the value of a is -1. This means that both functions are at a maximum
The values of k in both functions are k = 1 and k = 5. By comparison, 5 is greater than 1. Therefore, function 2 has larger maximum.
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complete question;
The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 2x − 15 Function 1 has the larger maximum at (4, 1). Function 1 has the larger maximum at (1, 4). Function 2 has the larger maximum at (−14, 1).
g in a class of 30 children, 20 take latin, 14 take greek, and 10 take hebrew. if no child takes all three languages and eight children take no language, how many children take greek and hebrew?
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The number of children take greek and hebrew = 2
In this question, we have been given that in a class of 30 children, 20 take latin, 14 take greek, and 10 take hebrew.
So, n(s) = 30
Let set a: children taking Latin language
n(a) = 20
set b: children taking Greek language
n(b) = 14
set C: children taking Hebrew language
n(c) = 10
no child takes all three languages
⇒ n(a ∩ b ∩ c) = 0
And eight children take no language
⇒ n(S) - n(a ∪ b ∪ c) = 8
So, n(a ∪ b ∪ c) = 8
This means, 22 children taking languages.
Of those 22 kids, 14 take Greek and 10 take Hebrew.
14+10 = 24
This means, at least 2 children must taking Greek and Hebrew.
Since no child takes all three languages, the children taking Greek and Hebrew can't be taking Latin. Since 20 of the 22 kids are taking Latin, that means at most 2 are taking Greek and Hebrew.
Therefore, 2 children take greek and hebrew
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The accompanying table shows the number of bacteria present in a certain culture over a 4 hour period, where x is the time, in hours, and y is the number of bacteria.Write an exponential regression equation for this set of data, rounding all coefficients to the nearest thousandth. Using this equation, determine the number of bacteria present after 12 hours, to the nearest whole number.
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The exponential regression equation is given by y = 304(1.072)ˣ and the number of bacteria present after 12 hours would be 700.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let y represent the number of bacteria after x hours.
When x = 0, y= 304, hence:
304 = ab⁰
a = 304
When x = 1, y= 326, hence:
326 = (304)b¹
b = 1.072
The exponential regression equation is given by y = 304(1.072)ˣ.
When x = 12:
y = 304(1.072)¹² = 700
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Mr Zelman can swim 8miles in 5 hours assuming he can keep the same speed how far can mr zelman swim in 11 hours
Answers
Answer:
17.6 miles
Step-by-step explanation:
5 divided by 8 is 1.6
1.6 times 11 is 17.6
What equation is graphed in this figure?
O y-4=-+2)
O y-3=(+1)
O y+2=-3(z-1)
•y-5=3(*–1)
Answers
Answer:
The equation of the graphed figure can be presented as follows;
y + 4 = 3·(x + 2)
Step-by-step explanation:
The characteristics of the given graph in the figure are;
y-intercept = (0, 2)
When y = -4, x = -2
Therefore, the slope = (-4 - 2)/(-2 - 0) = 3
Therefore, the equation of the graph in point and slope form is given as follows;
y -(-4) = 3(x - (-2)), which gives;
y + 4 = 3·(x + 2)
Therefore, the equation of the graphed figure is y + 4 = 3·(x + 2)
Consider the upper bound for total numerical error E h2 eh) + M h 6 Prove that e(h) has a minimum at h = : 3€/M
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To prove that e(h) has a minimum at h = 3€/M, we need to first understand the terms involved. The upper bound for total numerical error E h2 eh) + M h 6 refers to the maximum possible error in a numerical computation.
It includes two types of error: the truncation error (E h2) which results from approximating a mathematical function using a finite number of terms, and the round-off error (eh) which results from the limited precision of computer arithmetic.
The numerical error e(h) is a function of the step size h used in numerical approximations. It is given by e(h) = E h2 + M h 6 + eh.
Now, to prove that e(h) has a minimum at h = 3€/M, we can take the derivative of e(h) with respect to h and set it to zero.
de(h)/dh = 2Eh - Mh5 + eh'
Setting this equal to zero, we get:
2Eh - Mh5 + eh' = 0
Rearranging and solving for h, we get:
h = (2E/Me')^(1/4)
Substituting this value of h in e(h), we get:
e(h) = (4/3)^(3/4) * (EM)^(1/4) * eh'
Since eh' is a constant, e(h) is minimized when EM is minimized.
Therefore, we need to find the minimum value of EM, which is achieved when h = 3€/M.
Thus, we can conclude that e(h) has a minimum at h = 3€/M.
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about 80% of customers who receive a promotion coupon will visit the store, but only 20% of those in the store will make a purchase. how many promotion coupons have to be sent in order to get 100 customers to make a purchase?
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Promotion 50√2 (or about 70.7) coupons need to be sent in order to get 100 customers to make a purchase.
The given problem states that around 80% of customers who receive a promotion coupon will visit the store. But only 20% of those in the store will make a purchase.
The problem asks us to determine how many promotion coupons have to be sent in order to get 100 customers to make a purchase.
Therefore, let the number of coupons to be sent be x.
Then, 80% of x people will visit the store. Therefore, the number of people who will visit the store is
(80/100)x or (4/5)x people.
However, only 20% of those in the store will make a purchase.
Therefore, the number of customers who make a purchase is (20/100) x (4/5)x = (1/25)x² customers.
We need to find x such that (1/25)x² = 100.
Therefore, x² = 25 × 100. Hence, x = √2500 or x = 50√2.
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The HR manager of a large department store believes the number of resignations per week of casual staff can be approximated by a normal distribution with a mean 33.0 resignations per week and variance of 46.2 resignations per week squared. From a large amount of historical data available on the HR data base regarding weekly resignations for casuals, a sample of 52 weeks was selected. Between which two values should the middle 90% of all sample averages of resignations per week of casual staff lie? Give only the upper value for this range and state the answer to 2 decimal places.
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The upper value for the range within which the middle 90% of all sample averages of resignations per week of casual staff should lie is approximately 34.55 resignations per week.
To determine the range within which the middle 90% of all sample averages of resignations per week of casual staff should lie, we can use the Central Limit Theorem and the properties of the normal distribution.
The Central Limit Theorem states that the distribution of sample averages approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution. In this case, the sample size is 52, which is considered large enough for the Central Limit Theorem to apply.
Given that the population mean is 33.0 resignations per week and the variance is 46.2 resignations per week squared, we can calculate the standard deviation (σ) by taking the square root of the variance: σ = √46.2 ≈ 6.79.
Since we are looking for the middle 90% of the sample averages, we need to find the z-scores corresponding to the lower and upper ends of the middle 90% (5% on each tail). Using a standard normal distribution table or a calculator, we can find that the z-score corresponding to a 5% tail is approximately 1.645.
To find the upper value for the range, we can use the formula:
Upper Value = sample mean + (z-score * standard deviation / √sample size)
Upper Value = 33.0 + (1.645 * 6.79 / √52) ≈ 33.0 + (1.645 * 0.944) ≈ 33.0 + 1.554 ≈ 34.55 (rounded to 2 decimal places).
Therefore, the upper value for the range within which the middle 90% of all sample averages of resignations per week of casual staff should lie is approximately 34.55 resignations per week.
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At Alpha's school, lunches cost $2 and the cafeteria cashiers begin to warn you when your account falls below $10. If Alpha has $38 in her account, in how many days will the warnings begin and how long will they continue? Write the inequality to express this.
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Answer:
the warnings will begin in 12 days and last for 5 days
Step-by-step explanation:
38-10=28, 28÷2=12, 10÷2=5, so you get 12 and 5
If 10^ 5, what is x?
Answers
Answer:
100,000
Step-by-step explanation:
A watch which costs $750.00 was sold at a profit of 15%. What was the selling price
Answers
Answer: $862.50
Step-by-step explanation:
Watch = $750
15% of $750 = $112.50
$112.50 + $750 = $862.50
Answer: 862.5
Step-by-step explanation: 750+15%=862.5
what is the result of -25 x(84/21)+(-3)x(-6) ??
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Answer:
-82
Step-by-step explanation:
84/21=4
-25x4=-100
-3x-6=18
-100+18=-82
Find the slope of each line.
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Answer:
Step-by-step explanation:
There are 4 conditions that have to be met before you can declare what the slope is.
1. y has to be on one side of the equation.
2. y must have a coefficient of +1
3. the other side contains the x value. It can have any number as the slope which is in front of x.
4. The value of the number by itself which is not connected to x or y can also be any value including the irrational numbers.
Examples
y = 5x + 4
slope = 5
y intercept = 4
y = πx + sqrt(5)
slope = pi
y intercept = sqrt(5)
Answer to your question
slope = 7/5
y intercept = 5
One question, please help!
Answers
Answer:
k=5
Step-by-step explanation:
for every one unit on the x, the y goes up five. So, the ratio is 5:1 or five.
an urn contains five red balls, six black balls, and four green balls. if two balls are selected at random without replacement from the urn, what is the probability that a red ball and a black ball will be selected? (round your answer to three decimal places.)
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The probability of selecting the red ball and black ball at a random and without replacement will be \(0.257\)
There are \(5\) Red balls
\(6\) Balck balls
\(4\) Green balls
So, the total number of balls in the URN is \(5+6+4=15\)
The probability of taking Red balls is
\(P(Redballs)=\frac{\text{total number of red balls}}{\text{total number of balls}}\)
\(=\frac{5}{15}\)
As we have taken a ball out which is not replaceable so total number of balls in the URN will be
\(15-1=14\)
The probability of taking black balls is
\(P(blackballs)=\frac{\text{total number of black balls}}{\text{total number of balls}}\)
\(=\frac{6}{14}\)
The probability of selecting both is
\(P(\text{selecting both})=P(\text{Red balls})\times P(\text{Black balls})\)
\(=\frac{5}{15}\times \frac{6}{14}\\\)
\(=\frac{3}{5}\times \frac{6}{14}\\\)
\(=\frac{18}{70}\\\)
\(=0.257\)
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Two sides of a triangle have lengths 8 and 16. Which expression describes the length of the third side?
greater than 8 and at most 24
at least 8 and at most 24
at least 8 and less than 24
greater than 8 and less than 24
Answers
Answer:
Based on the given description above, the correct answer would be the second statement. If two lengths of two sides of a triangle are 9 and 15, therefore, the length of the third side must be greater than or equal to 6 and at most 24. Hope this answer helps.
Step-by-step explanation:
k/2.9+ 80.2=23.1 what is k?
Answers
Answer: -165.59
Step-by-step explanation: Search math w ay on the internet :)
Ryan is cleaning out his room. His sister gives him 4 boxes of books to put with the 3 books he already had. When he finishes cleaning he discovers he now has 35 books on his shelves. How many books were in each box? Write an algebraic expression to represent this problem then solve.
Answers
Answer:
8 books were in each box
Step-by-step explanation:
According to the Question,
Assume X is the Number of Books In Each Box.
We have, 4 boxes With the Same Number of Books In each Box,Thus Total Book in all box is 4X.And, 3 books Ryan Already Put In Shelves.Now, Total Number Of Book After Cleaning is 35 Books.Algebraic Expression,
4X + 3 = 35
4X = 35 - 3
4X = 32 ⇔ X=8 books in Each Box.
I need the answer help pls
Answers
Answer:
Step-by-step explanation:
It cost Juan $7.30 to send 73 text messages. How many text messages did he send if he spent $10.20?
Answers
Answer:
102
Step-by-step explanation:
First, divide 7.30 by 73 to find how much 1 text message costs. We get 0.1. Next, divide 10.20 by 0.1, which gives us the final answer of 102.
Answer:
99 text messages
Step-by-step explanation:
$7.50 = 73
÷73 ÷73
---------------------
amount to = $0.102739726
send one text
0.102739726x = $10.20
÷0.102739726 ÷0.102739726
-------------------------------------------------
x ≈ 99.28
I hope this helps!
If f(x)=(x-2)²-x³, what is f(-3)-f(3)
Answers
Answer:
78
Step-by-step explanation:
f(-3) means replace the x with -3.
f(-3) = (-3 - 2)² - (-3)³ = (-5)² - (-27) = 25 + 27 = 52.
f(3) = (3 - 2)² - (3)³ = (1)² - 27 = -26.
so f(-3) - f(3) = 52 - -26 = 52 + 26 = 78.
The least common multiple of two numbers is 60 and one of the numbers is 7 less than the other number.What are the numbers.Justify your answer
this is for my homework if anyone can help me with this id be greatful
Answers
Answer:
As the least common multiple of two numbers is 60 , the two numbers are factors of 60 . Among {1,2,3,4,5,6,10,12,15,20,30,60} , 3 & 10 and 5 & 12 are the only two pair of numbers whose difference is 7 . But Least common multiple of 3 and 10 is 30
In the diagram, PQRS ~ TUVW. Find the value of x .
Answers
The value of x is 8
What is a trapezoid?A quadrilateral with one pair of parallel sides. It is a typical mathematical shape that is employed in numerous disciplines. The area of a trapezoid is computed by multiplying the height by half of the sum of the lengths of the two bases.
Given that trapezoid PQRS ~ TUVW are similar;
So, VW/RS = UT/QP
x/12 = 6/9
x = 8
Therefore, the value of x is 8
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Trapezoid A trapezoid is a four-sided shape with one pair of parallel sides According to the question The value of x is 8
What is a trapezoid?A trapezoid is a four-sided shape with one pair of parallel sides. It has two non-parallel sides, or legs, and two parallel sides, or bases. The bases are usually of different lengths, and the sides are typically not equal. The angles of a trapezoid are not necessarily all the same size, but the two opposite angles are always equal. Trapezoids can be found in everyday objects like the shape of a deck, a rectangular door frame, or a sloped roof. Trapezoids can also be found in geometry, where they are used to calculate the area and perimeter of the shape.
Given that trapezoid PQRS ~ TUVW are similar;
So, VW/RS = UT/QP
x/12 = 6/9
x = 8
Therefore, the value of x is 8
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Which rule explains why these triangles are congruent?
С
F
А
B
G
ASA
SSS
AAS
SAS
help urgently please
Answers
Answer:
Side Angle Side
Step-by-step explanation:
armando and his 3 friends ordered a 4 foot sub for 25.99,4 large drinks for 1.79 each,and a salad for 5.89 what is the total cost?
Answers
Answer:
$39.04
Step-by-step explanation:
1.79×4=7.16
total cost->7.16+25.99+5.99=39.04
Please help !!!!! Don’t answer if you just want to scribble . Imagine how you would feel if it were you .
Answers
Answer:
m= -3
b= 4
Step-by-step explanation:
whatever number has x next to it is always slope, that is how you find slope in a equation. To find y-intercept (b) you can just use the other number that doesn't have x to it.
Hope this helps!!!