Question 1
In OC, mAB= 72. Find m/_BCD.
A 72
B 108
C 144
D 180
and maybe 5 & 6 if ur feeling generous
Answers
1) Because \(\angle ACB\) is a central angle, \(m\angle ACB=72^{\circ}\).
Since \(\angle ACB\) and \(\angle BCD\) are supplementary, they form a linear pair, and thus \(m\angle BCD=180^{\circ}-72^{\circ}=\boxed{108^{\circ}}\)
5) Tangents drawn from an external common point are congruent, so CR=CP=8 and RB=BQ=4. This means that QA=11, and so PA=11 as well. Adding CP+PA, we get AC=19.
6) By the inscribed angle theorem, angle QPR measures 36 degrees.
Related Questions
the measure of an angle is 6 less than 5 times its complement. what is the complement.
Answers
Answer:
90−74=16∘.
Step-by-step explanation:
If x is the measure of the angle, then 90−x is the measure of the complement, both in degrees
Can somebody answer this proof? Please and Thank You.
Answers
Answer:
Step-by-step explanation:
DB then AB CD
prove (p→r)∨(q→r)
logically equivalent to the statement (p∧q)→r
Answers
The (p ∧ q) → r is true.On the basis of above discussion, it is proved that (p → r) ∨ (q → r) is logically equivalent to the statement (p ∧ q) → r.
We need to prove that (p → r) ∨ (q → r) is logically equivalent to the statement (p ∧ q) → r.Statement: (p ∧ q) → r. We know that the conditional statement is only false when the hypothesis is true and the conclusion is false. It is true otherwise.So, we need to consider the following two cases:Case 1: p ∧ q is trueIn this case, as p ∧ q is true, p is true and q is true. As (p ∧ q) is true, the conclusion r must be true. Hence, the statement (p ∧ q) → r is true.Case 2: p ∧ q is falseAs p ∧ q is false, either p is false or q is false or both. Hence, the conclusion r can be either true or false. In this case, the statement (p ∧ q) → r is true as well.Now, we need to prove that (p → r) ∨ (q → r) is also true. Let's consider the following cases:Case 1: p → r is trueIn this case, if p is true, then r must be true. Otherwise, the statement p → r would be false. Hence, (p → r) ∨ (q → r) is true.Case 2: q → r is trueIn this case, if q is true, then r must be true. Otherwise, the statement q → r would be false. Hence, (p → r) ∨ (q → r) is true.Case 3: p → r and q → r are falseIn this case, p and q are false, which means that (p ∧ q) is false. Hence, (p ∧ q) → r is true.On the basis of above discussion, it is proved that (p → r) ∨ (q → r) is logically equivalent to the statement (p ∧ q) → r.
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1 mile = 1.6 kilometers
A car goes 3 miles.
How many kilometers does it go?
Answers
Answer:
4.82803
Step-by-step explanation:
3 x 1.6
Is this congruent by SSS, SAS, AAS, ASA? Please help!
Answers
Answer:
SSS
Step-by-step explanation:
There is two given congruent angles
What is (-72/9) + (-64/8) + (44/- -11)
Answers
Answer: -12
use the () to sole the problem at one step at a time.
which expression is equivalent to the given expression?
Answers
Answer:
4ln x +ln 3-lnx
4ln x -ln x+ln3
3ln x+ln 3
ln(3x+3)is equivalent.
Please help me ASAP!!!!!!!!!!!
Answers
Smallest 2-digit number: 23
3-digit number closest to 300: 276
Hope it helps you! ✺ ✺ ✺ ✺ ✺ ✺ ✺
\(ANSWERED:\\GraceRosalia\)
Number closest to 300 is 376
What integer represents spending $100
Answers
Answer: <100
Step-by-step explanation:
Each side of the tree house is the same length. Peter plans on putting a pentagonal roof on the tree house. The sides of the roof will be 6 inches longer than the sides of the tree house. A large pentagon is labeled n 6. A smaller pentagon inside of the large one is labeled n. A solid circle is in the middle of the small pentagon. Which expression represents the perimeter of the roof, in inches? 35n n 30 5n 6 5n 30.
Answers
Answer:
5n+30
Step-by-step explanation:
Answer:
D( 5n +30
Step-by-step explanation:
have a good day!:) sorry if I'm late
True or False. When working with big data, a sample size is significantly large if the variability virtually disappears.
A. True
B. False
Answers
The answer is A. True. When working with big data, the sample size is so large that the variability in the data almost completely disappears.
What is variability?Variability is the degree of difference between values in a set of data. It is a measure of how spread out the values are from the mean or average of the set.
When dealing with smaller datasets, there is typically more variability. This is because a smaller sample size does not represent the entire population of data, and therefore does not provide an accurate representation of the underlying population of data. This variability can make it more difficult to draw valid conclusions from the data.
However, when working with a large sample size, the variability virtually disappears. This is because the data is spread across so many data points that the differences between individual data points become negligible. The result is that the data becomes more consistent and easier to analyze.
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what is the sum of 2/3+ 1/5 ?
Answers
Answer:
13/15
Step-by-step explanation:
Answer:
\( \frac{13}{15} \)Step-by-step explanation:
HOPE IT HELPS MUCH
Michael is buying new shirts and pants for school. He bought shirts for $38 each and pants for $38 each. He purchased nine items and spent a total of $222. How many shirts did he buy?
Answers
Answer:
No possible solution
Step-by-step explanation:
Let:
Shirt = x
Pant = y
x + y = 9 - - - - - - - - - (1)
38x + 38y = 222 - - - (2)
From (1):
y = 9 - x
Put y = 9 - x in (2)
38x + 38(9 - x) = 222
38x + 342 - 38x = 222
Based on the Given parameters, we can conclude that the equation does not have a possible solution.
Could I please get assistance with this question. Create a mini cricket/rugby clinic explanation where you teach learners about cricket/rugby while incorporating Mathematics or English literacy. Your explanation should be informative and insightful.
Answers
Introduce the sport of cricket/rugby and explain its history and rules.
Use cricket/rugby as a context for teaching Mathematics or English literacy. For example:
Mathematics: You can use cricket/rugby statistics to teach learners about probability, percentages, and data analysis. For instance, you can ask learners to calculate the batting average of a cricket player or the conversion rate of a rugby team. You can also ask learners to solve word problems related to cricket/rugby, such as "If a cricket team scores 240 runs in 50 overs, what is their run rate per over?"
English literacy: You can use cricket/rugby as a context for teaching learners about reading comprehension, writing, and vocabulary. For instance, you can ask learners to read a cricket/rugby article and summarize it in their own words. You can also ask learners to write a persuasive essay on why cricket/rugby is the best sport. Additionally, you can teach learners cricket/rugby-specific vocabulary, such as "wicket," "boundary," "try," and "conversion."
Use cricket/rugby drills and exercises to reinforce the Mathematics or English literacy concepts you have taught. For example:
Mathematics: You can ask learners to measure the distance between the wickets or the length of the cricket pitch using a tape measure. You can also ask learners to count the number of runs scored in a cricket match or the number of tries scored in a rugby match.
English literacy: You can ask learners to write a cricket/rugby-themed story or poem using the vocabulary they have learned. You can also ask learners to read a cricket/rugby rulebook and explain the rules in their own words.
Overall, incorporating Mathematics or English literacy into a cricket/rugby clinic can make the learning experience more engaging and meaningful for learners. By using cricket/rugby as a context for teaching these subjects, learners can see the real-world applications of what they are learning and develop a deeper understanding of the concepts.
solve the literal equation for y
4x+1=9+4y show steps please i am confused
Answers
The solution to the literal equation is y = x - 2.
What is the solution to inequality?To solve inequality in y, we need a number such that the assertion holds if we replace y with that number. Isolating the variable on one side of the inequality and leaving the other terms constant is the first step in resolving the inequality.
From the given information:
4x + 1 = 9 + 4y
To solve for y, we have to switch the sides:
9 + 4y = 4x + 1
Subtract 9 from both sides
9 - 9 + 4y = 4x + 1 - 9
4y = 4x - 8
Divide both sides by 4
\(\dfrac{4y}{4}= \dfrac{4x}{4}-\dfrac{8}{4}\)
y = x - 2
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Michael finds that 55% of his 40 friends like pizza and 80% of his 25 neighbors like pizza. How many more of Michael's friends like pizza compared to his neighbors?
Answers
The number more of Michael's friends that like pizza compared to his neighbors are 2 more of his friends.
How to find the number of friends ?First, let's calculate how many of Michael's friends and neighbors like pizza:
55% of his 40 friends like pizza, so the number of his friends who like pizza is:
= 55 / 100 x 40
= 22
80% of his 25 neighbors like pizza, so the number of his neighbors who like pizza is :
= 80 / 100 x 25
= 20
Therefore, 2 more of Michael's friends like pizza compared to his neighbors.
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find the solution of x and y
Answers
Answer:
x = 1.25, y = 1.75
Step-by-step explanation:
The smaller and larger triangles are similar triangles. (the 2 triangles have the same angles).
We know that the smaller triangle has length 8 for it's bottom side when the larger triangle has length 10. This means the scale factor between the 2 is 10 / 8 which is 1.25. Therefore by multiplying the side lengths of the smaller triangle by 1.25 we get the side lengths of the larger triangle.
5 * 1.25 = 6.25
7 * 1.25 = 8.75
However we don't want the whole side lengths we want x and y, We need to subtract 5 and 7 respectively from the lengths of the larger triangles.
Therefore the lengths must be: 6.25 - 5 = 1.25
and 8.75 - 7 = 1.75
Therefore x and y equal 1.25 and 1.75
Consider relation R (A, B, C, D, E, G) and the following set of functional dependencies that hold on R: F= {B→D, E→G, DE, D→B, G→ BD}a. Is the decomposition of R into R1(A, B, D, E) and R2(B, C, D, G) lossless join? Justify your answer?b. Is the decomposition of R into RI(A, B, D, E) and R2(B, C, D, G) dependency preserving? Justify your answer?
Answers
Considering relation R (A, B, C, D, E, G) and the following set of functional dependencies that hold on R: F= {B→D, E→G, DE, D→B, G→ BD}The functional dependencies in F are:- B→D, E→G, DE, D→B and G→BD.
a. To determine if the decomposition of R into R1(A, B, D, E) and R2(B, C, D, G) is lossless join, we need to check if the natural join of R1 and R2 produces the original relation R without introducing any spurious tuples.
The common attribute between R1 and R2 is B, which is a key attribute of R1. Therefore, we can say that the decomposition is lossless join.
b. To determine if the decomposition of R into R1(A, B, D, E) and R2(B, C, D, G) is dependency preserving, we need to check if all the functional dependencies that hold on R are preserved in both R1 and R2.
The functional dependencies in F are:
- B→D
- E→G
- DE
- D→B
- G→BD
These dependencies can be represented as follows:
- R1(A, B, D, E) satisfies B→D, D→B, and DE
- R2(B, C, D, G) satisfies G→BD
Therefore, we can say that the decomposition is dependency preserving.
a. The decomposition of R into R1(A, B, D, E) and R2(B, C, D, G) is lossless join if their natural join results in the original relation R.
To verify this, we need to find a common attribute between R1 and R2, which is B and D in this case. Since D → B is a functional dependency in F, we have a common attribute with a functional dependency, so the decomposition is lossless join.
b. The decomposition of R into R1(A, B, D, E) and R2(B, C, D, G) is dependency preserving if all the functional dependencies in F can be derived from the functional dependencies in the decomposed relations.
In R1, we have B → D and D → B. In R2, we have G → BD. However, E → G and DE cannot be derived from the decomposed relations. Thus, the decomposition is not dependency preserving.
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5. (-/5 Points] DETAILS 00 Using the Alternating Series Test on the series (-1)" Inn Inn we see that bn = n and n 1 (1) bn is choose for all n 2 3 choose (2) bn is von n23 negative (3) lim -positive H
Answers
Based on the information provided, none of the options (1), (2), or (3) are correct.
Based on the information provided, let's analyze the given series
(-1)^n / n.
Alternating Series Test states that if a series has the form (-1)^n * b_n, where b_n is a positive, decreasing sequence that converges to 0, then the series converges.
Let's evaluate the given series using the Alternating Series Test:
(1) For the series to satisfy the Alternating Series Test, it is required that b_n is a positive, decreasing sequence. In this case, b_n = n, which is positive for all n >= 1. However, the sequence b_n = n is not decreasing because as n increases, the values of b_n also increase. Therefore, option (1) is not correct.
(2) The statement in option (2) mentions that b_n is negative for n >= 2, but this conflicts with the given sequence b_n = n, which is positive for all n >= 1. Therefore, option (2) is not correct.
(3) The statement in option (3) states "lim -positive," but it is not clear what it refers to. It seems to be an incomplete or unclear statement. Therefore, option (3) is not correct.
In conclusion, based on the information provided, none of the options (1), (2), or (3) are correct.
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Whic statement would best describe the graph of the function?
Answers
First one.
Its a straight line with a slope of 6.
A line with a slope of 6 has a form of:
\(y=6x+0\)
So when \(x=1\), \(y\) becomes \(6\cdot1=6\) and so on.
Hope this helps.
Answer:
the first option is the answer
Step-by-step explanation:
if you draw a sketch on an XY plane. you will notice that as x increases y increases at the same pace so therefore it forms a straight line graph which has a slope of 6
The weight W (in pounds) of a backpack a hiker carries on a multi-day hike can be modeled by W = 2. 5d + 35 were d represents the length of the trip (in days). Identify the slope and the y-intercept. Describe what the slope and the y-intercept represent in this situation
Answers
The slope is 2.5 and y-intercept is 35.
As per the general equation of straight line, which is y = mx + c. Here y is y-axis, x is x-axis, m is slope and c is y-intercept.
Now, the slope is 2.5 and indicates that the weight increased by 2.5 pounds each day. y-intercept indicates there are atleast 35 total days of th trip. The slop represents subsequent increase in weight per day.
Further, y axis value will the total based on the number of days and increase in weight. x axis will be labelled distance and will represent the same.
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Determine the values of y in the equation y2 = 121.
whoever gets it right gets a crown pls help
Answers
Answer:
y = 11
Step-by-step explanation:
Let's solve your equation step-by-step.
\( \rightarrow \sf \: y {}^{2} =121\)
Step 1: Take square root.
\( \sf \: y=± \sqrt{121} \)
y=11 or y=−11
what is the approximation for the value of cos(12) obtained by using the fourth-degree taylor polynomial for cosx about x
Answers
The approximation for the value of cos(12) using the fourth-degree Taylor polynomial is approximately 505.
We have,
To approximate the value of cos(12) using the fourth-degree Taylor polynomial for cos(x) about x = 0, we can use the formula:
cos(x) ≈ \(1 - (x^2 / 2) + (x^4 / 24)\)
Substituting x = 12 into the formula, we have:
cos(12) ≈ \(1 - (12^2 / 2) + (12^4 / 24)\)
≈ 1 - 72 + 576
≈ 505
Therefore,
The approximation for the value of cos(12) using the fourth-degree Taylor polynomial is approximately 505.
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Shay walks to softball practice. She leaves her home and walks 6 blocks north. She then turns east and walks 4 more blocks to the field. How far is the softball field from Shay’s home? Pythagorean Theorem
Answers
Answer:
7
Step-by-step explanation:
(a squared) plus (b squared) equals (c squared)
(6 squared) plus (4 squared) equals (c squared)
36+16=c squared
c equals 7
Answer:
7.21 blks
Step-by-step explanation:
Pythag theorem
a^2 + b^2 = c^2
6^2 + 4^2 = c^2
52 = c^2
c = sqrt 52 = 7.21 blcks
What is the range of the function f(x) = -2(6^x) + 3?
o (-inf,-2]
0 (-inf,3)
O [-2,inf)
O [3,inf)
Answers
Answer:
write question in short form
Step-by-step explanation:
Mindy
James
Jane
Michael
Harry
George
Sally
(Desktop/Laptop, Cost)
(Laptop, 1700)
(Laptop, 1400)
(Desktop, 1200)
(Laptop, 800)
(Desktop, 800)
(Desktop, 700)
(Laptop, 1000)
Consider the above ordered pair chart.
less than $1000.
_______ person(s) have desktops costing
Answers
Sally has a desktop costing less than $1000.
Based on the given ordered pair chart, the individuals who have desktops are:
Michael: (Desktop, 1200)
Harry: (Desktop, 800)
George: (Desktop, 800)
Sally: (Desktop, 700)
Out of these four individuals, only Sally has a desktop costing less than $1000 (specifically $700).
Therefore, one person (Sally) has a desktop costing less than $1000.
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suppose a is a set with m elements and b is a set with n elements. a. how many relations are there from a to b? explain. b. how many functions are there from a to b? explain. c. what fraction of the relations from a to b are functions?
Answers
a)There are \(2^m^n\) possible relation
b)Similarly \(n^m\)
c)\(\frac{n^m}{2^m^n}\)
a)Set A has m elements and set B has n elements
Firstly determine the number of elements A*B by using the multiplication rule
Number of elements\(=A*B=m*n=mn\)
For each element, \(A*B\) we have two option
First element 2 ways
Second element 2 ways
mn element 2 ways
By using the multiplication rule
\(2*2*2......=2^m^n }\)
Then there are \(2^m^n\) possible relation
b)Similarly \(n^m\)
c)\(\frac{n^m}{2^m^n}\)
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A continuous random variable X has the probability density function (pdf):
fx (x) = {x^2 + 4/3 x if 0 < x < 1
0 otherwise.
(A) Find the cumulative distribution function Fx(t) of X and answer the following questions according to the CDF you obtained. Round your answers to three decimal places.
Fx(-3)=
Fx(0. 6) = Fx(2. 5)= (B) Find the expected value of X. Round your answers to three decimal places or keep it as a simple fraction.
E(X) =
(C) Find P(X > 0. 3 X < 0. 6). Hint: use the definition of conditional probability. Round your answers to three decimal places.
P(X > 0. 3 | X < 0. 6):
Answers
Fix(2.5) is equal to 1. The expected value of X (E(X)) is equal to 13/36. P(X > 0.3 and X < 0.6) is equal to 0.432.
A continuous random variable X has a probability density function (pdf) given by:
fix (x) = {x² + 4/3 x if 0 < x < 1
0 otherwise. Let's solve the questions step-by-step: To find the cumulative distribution function (CDF) Fix(t) of X, we integrate the pdf from 0 to t. To find Fix(-3), we integrate the pdf from 0 to -3, which is not possible since -3 is outside the valid range of x (0 < x < 1). Therefore, Fix(-3) does not exist. To find Fix(0.6), we integrate the pdf from 0 to 0.6:
∫(0 to 0.6) (x² + 4/3 x) dx = [1/3 x³ + 2/3 x²] (0 to 0.6)
= (1/3 × 0.6³ + 2/3 × 0.6²)
= 0.432.
Therefore, Fix(0.6) is equal to 0.432. To find Fix(2.5), we integrate the pdf from 0 to 1 (since the valid range of x is 0 < x < 1):
∫(0 to 1) (x² + 4/3 x) dx = [1/3 x³ + 2/3 x²] (0 to 1)
(1/3 × 1³ + 2/3 × 1²) = 1.
Therefore, Fix(2.5) is equal to 1. To find the expected value of X (E(X)), we need to integrate x times the pdf from 0 to 1:
E(X) = ∫(0 to 1) x × (x² + 4/3 x) dx.
Simplifying the integral:
E(X) = ∫(0 to 1) (x³ + 4/3 xv) dx
= [1/4 x⁴ + 4/9 x³] (0 to 1)
= (1/4 × 1³ + 4/9 × 1³)
= 13/36.
Therefore, the expected value of X (E(X)) is equal to 13/36. To find P(X > 0.3 and X < 0.6), we need to use the definition of conditional probability:
P(X > 0.3 and X < 0.6) = P(X < 0.6) - P(X < 0.3).
Using the CDF we obtained earlier, we have:
P(X > 0.3 and X < 0.6) = Fix(0.6) - Fix(0.3)
= 0.432 - 0
= 0.432.
Therefore, P(X > 0.3 and X < 0.6) is equal to 0.432.
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what is 2+2=? adding letters for extra characters
Answers
Answer:
4
Step-by-step explanation:
What is the output for y=x-4 if the input is 13
Answers
Answer:
9
Step-by-step explanation:
y = x - 4
y = 13 - 4
y = 9