Geometry
AC bisects ∠BCD, complete the flowchart proof below. Note that the last statement and reason have both been filled in for you.
FlowChart, Please Help Urgent
Given that AC bisects ∠BCD, the complete flowchart proof is given below:
<ADC = <ABC Reason is given<DCA = <BCA. Reason is AC bisects <BCDAC = AC Reason is their reflexive property.ADC = ABC Reason is the ASA postulate.What is Geometry?One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.
A geometer is a mathematician who specializes in geometry.
GIven the shape in the image, the flowchart proof has been completed above.
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the probability that you watch a movie this weekend is 48% the probability of watching a movie this weekend and buying popcorn is 38%. if the probability of buying popcorn is 42%, are watching a movie and buying popcorn independent?
No, because P(A|B) = 0.79 and the P(A) = 0.48 they are not equal.
Probability :The probability formula defines the likelihood of the happening of an event. It is the ratio of favorable outcomes to the total favorable outcomes.
We have the information:
P(A)= 0.48
P(B) = 0.42
P(A∩B) = 0.38
To find out if watching a movie and buying a popcorn are independent,
The formula is used:
P(A|B) = P(A∩B)/P(A)
Plug all the values in above formula:
P(A|B) = 0.38/0.48 = 0.79166
P(A|B) = 0.79
From the deductions above;
Hence, the answer is
No, because P(A|B) = 0.79 and the P(A) = 0.48 they are not equal.
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For complete question, to see the attachment
I remember answering this before, but I'm kinda confused. Please help me. Your answer and contribution is HIGHLY appreciated! <3
What is the range of the function y = -|x|?
y ≤ 0
x ≤ 0
all real numbers
Answer:
y is less than or equal to zero
Step-by-step explanation:
range is in regards to the values on the y-axis and this graph faces down
For a going-out-of-business sale, a jewelry shop owner
marks all of the store's merchandise 50% off. The price
tag on a necklace indicates that it is an additional 20%
off the sale price. If the original price of the necklace was
$600, what will it cost after the discounts?
Answer:420
Step-by-step explanation:
600 x 0.70 is 420. so 600 minus 420 is 180
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
The answer is A.
Step-by-step explanation:
Count how many points are from 0 to 1.
In this problem, there are 8.
Next, we see how far the dot is away from zero.
The dot is on the second line from zero. Two would be your numerator, and 8 would be the denominator.
Therefore, your answer is A.
Someone please help me ASAP!!
Answer:
B' = (-6,6)
Step-by-step explanation:
The coordinates of B are (-2,2)
If the figure is to become 3 times as large, B' would be 3(-2,2) = (-6,6)
Several friends (Calvin, Dean, Kelli, and Lee) went to Cal's Late Night Diner for a bite to eat. Match each person to their drink (Iced tea, Lemonade, Root Beer, and Water) and determine how much each paid ($4.99, $5.99, $6.99, and $7.99) for their meal.
Clues:
1. The Diner who paid $4.99 was either Calvin or the one who got the Root Beer.
2. Kelli paid $6.99
3. The one who got the water paid 1 dollar less than Dean.
4. Calvin paid more than Lee.
5. The one who got the Root beer paid 1 dollar less than the one who got the Iced Tea.
Based on the given clues, we can determine the person, drink, and price paid for each individual:
Calvin: Root Beer, $4.99
Dean: Lemonade, $7.99
Kelli: Water, $6.99
Lee: Iced Tea, $5.99
How to determine how much each friends paidFrom clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.
From clue 2, Kelli paid $6.99.
From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.
From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.
Therefore, the final assignments are:
Calvin: Root Beer, $4.99
Dean: Lemonade, $7.99
Kelli: Water, $6.99
Lee: Iced Tea, $5.99
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The sum of two numbers is 19, and their difference is 55. What are the two numbers?
Answer:
37 and -18
Step-by-step explanation:
Answer:
let x and y be two numbers
If f(x) = 7(x - 1) + 8, find the value of f(1)
answer fast.
Answer:
7x+1
Step-by-step explanation:
Use the distributive property to multiply 7 by x−1.
7x−7+8
Add −7 and 8 to get 1.
7x+1
julien is invited to open one of two treasure chests. he is twice as likely to open treasure chest a than treasure chest b. in treasure chest a, there are 15 gold coins. however, 60% of them are fake. in treasure chest b, there are 8 gold coins. however, 25% of them are fake. after selecting a treasure chest to open, julien randomly samples four coins. calculate the probability that julien samples an equal number of real and fake gold coins from the random sample of four.
The probability that Julien samples an equal number of real and fake gold coins from the random sample of four is approximately 0.463.
To calculate this probability, we can consider two cases: sampling from Treasure Chest A and sampling from Treasure Chest B.
For Treasure Chest A:
The probability of sampling an equal number of real and fake coins can be calculated using combinations. Out of the 15 gold coins in Treasure Chest A, 40% are real and 60% are fake. The probability of selecting 2 real and 2 fake coins can be calculated as (0.4^2) * (0.6^2) * (4 choose 2).
For Treasure Chest B:
The probability of sampling an equal number of real and fake coins can be calculated in a similar way. Out of the 8 gold coins in Treasure Chest B, 75% are real and 25% are fake. The probability of selecting 2 real and 2 fake coins can be calculated as (0.75^2) * (0.25^2) * (4 choose 2).
Finally, we can add the probabilities of the two cases together to get the overall probability is approximately 0.463.
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Which of the following does not have to be
checked during an audit of an existing wireless system.
Select one:
A. Network redundancy
B. Condition
C. Transmitter output
The answer is A. Network redundancy. During an audit of an existing wireless system, network redundancy does not have to be specifically checked.
Network redundancy refers to the existence of backup systems or paths to ensure uninterrupted connectivity in case of failures. While network redundancy is an important consideration in designing and maintaining a reliable wireless network, it is not typically part of the audit process.
On the other hand, the condition of the wireless system and the transmitter output are important aspects that need to be checked during an audit. The condition involves assessing the physical state of the equipment, such as antennas, cables, and access points, to ensure they are functioning properly. The transmitter output refers to the signal strength and quality being emitted by the transmitters, which is a crucial factor in assessing the performance of the wireless system.
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Javi are selling cookies at different rates. She charges $1.25 per cookie when a customer buys fewer than 12 cookies. If a customer buys at least a dozen (12) cookies, she charges $12 per dozen and $0.75 for each additional cookie over a dozen. Let y represent the cost to the customer and x represent the number of cookies the customer purchases.
Answer:
1.25÷12=9.6
12÷0.75=16
16÷9.6=1.6666667
Jenna runs 6km per hour, how long would it take her to run 3km
It would take Jenna half an hour, or 30 minutes, to run 3 km.
Hope this helps!
Let G be a simple directed graph with non-negative arc weights. We define capacity of a path p in G as the minimum arc weight along it: cap(p)=min e∈p
w(e). And we define volume of a pair of vertices (u,v) as the maximum capacity among paths from u to v : vol(u,v)=max p is a path from u to v
cap(p). Given graph G and a vertex s of G, present an efficient Dijkstra-like algorithm to find, for all t∈G.V\{s}, the volume of (s,t).
To find the volume of all pairs of vertices (s, t) in a directed graph G using an efficient Dijkstra-like algorithm, we can adapt the Dijkstra's algorithm with some modifications.
Here is the algorithm:
Initialize all vertices' volumes as negative infinity, except for the starting vertex s, which has a volume of 0.
vol(v) = -∞ for all v in G.V
vol(s) = 0
Create a priority queue Q to store vertices based on their volumes (minimum volume first). Initially, insert vertex s into Q.
While Q is not empty, do the following:
a. Extract the vertex u with the minimum volume from Q.
b. For each neighbor v of u:
Calculate the capacity of the path from s to v via u: cap(s, v) = min(cap(s, u), w(u, v)), where w(u, v) is the weight of the arc from u to v.
If cap(s, v) > vol(v), update vol(v) with cap(s, v) and insert v into Q if it's not already present.
After the algorithm finishes, the volumes vol(s, t) will represent the maximum capacity of paths from s to t for all vertices t in G.V{s}.
This modified Dijkstra-like algorithm finds the maximum capacity (volume) from s to all other vertices by considering all possible paths and updating the volume as we encounter smaller capacities along the way. By using a priority queue to extract the minimum volume vertex efficiently, the algorithm can run in O((|V| + |E|) log |V|) time complexity, where |V| is the number of vertices and |E| is the number of edges in the graph.
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What is the answer please show the work
it is 30 because it says 1 and 20 soooooo
1. Lori used her new credit card to book airplane tickets online to visit her sister in Scotland. The flights cost a total of $562. Her credit card has a promotional offer of 0% interest for 4 months. After this period, the rate is 19.7%, compounded daily. a. If Lori pays $75 per month, how long will it take her to pay off the balance? b. How much interest will she pay? c. If the credit card did not have a promotional offer, how much more interest would she have to pay?
If the credit card did not have a promotional offer, Lori would have had to pay approximately $110.58 more in interest.
a. To determine how long it will take Lori to pay off the balance, we need to calculate the number of months it will take for the total balance to reach zero.
Let's assume it takes n months for Lori to pay off the balance. Each month, Lori pays $75 towards the balance. Since there is no interest during the promotional period, the balance decreases by $75 each month.
The initial balance is $562, so the remaining balance after n months can be represented as:
Remaining balance = Initial balance - (Monthly payment * Number of months)
0 = 562 - (75 * n)
Solving this equation for n:
75n = 562
n = 562 / 75
n ≈ 7.49
Therefore, it will take Lori approximately 7.49 months (or rounded up to 8 months) to pay off the balance.
b. To calculate the total interest paid, we need to subtract the initial balance from the total amount paid over the repayment period. The total amount paid is the monthly payment multiplied by the number of months.
Total interest paid = Total amount paid - Initial balance
Total amount paid = Monthly payment * Number of months
Total interest paid = (Monthly payment * Number of months) - Initial balance
Total interest paid = (75 * 8) - 562
Total interest paid = 600 - 562
Total interest paid = $38
Therefore, Lori will pay a total of $38 in interest.
c. If the credit card did not have a promotional offer, the interest would have been charged at a rate of 19.7% compounded daily after the promotional period.
To calculate the additional interest, we can use the formula for compound interest:
Additional interest = Initial balance * (1 + interest rate)^Number of months - Initial balance
Additional interest = 562 * (1 + 0.197/365)^(30 * 4) - 562
Calculating this value:
Additional interest ≈ $110.58
Therefore, if the credit card did not have a promotional offer, Lori would have had to pay approximately $110.58 more in interest.
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Find the equation of the line perpendicular to the line y x = −3x + 6 and passing through the point ( -2, 8). Show full working out
Step-by-step explanation:
The equation of the line perpendicular to the line y = -3x + 6 and passing through the point (-2,8) is y = (1/3)x + (10/3).
2.45 convert the following unsigned binary numbers to hexadecimal. a. 1101 0001 1010 1111 b. 001 1111 c. 1 d. 1110 1101 1011 0010
a. 1101 0001 1010 1111 --> D1AF, b. 001 1111 --> 1F, c. 1 --> 1, d. 1110 1101 1011 0010 --> EDB2.
What is the hexadecimal representation of the given binary numbers?
Converting binary numbers to hexadecimal involves grouping the binary digits into sets of four, starting from the rightmost digit. Each group is then converted to its corresponding hexadecimal digit.
In the first step, we convert the binary numbers to hexadecimal as follows:
a. 1101 0001 1010 1111 --> D1AF
b. 001 1111 --> 1F
c. 1 --> 1
d. 1110 1101 1011 0010 --> EDB2
In binary, each digit represents a power of 2, while in hexadecimal, each digit represents a power of 16.
The conversion simplifies the representation and allows for easier understanding and manipulation of binary numbers.
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the mean recurrence interval (mri) of an earthquake in the 8.0-9.0 magnitude range in the los angeles area is approximately 1,500 years. based on this, what is the probability of an earthquake in this magnitude range sometime in the next 30 years?
Using the Poisson distribution, the probability of an earthquake in the 0.8-0.9 magnitude range sometime in the next 30 years is
1 - 1.9287 x 10⁻²².
It is given that mean recurrence of an earthquake is the 8.0-9.0 magnitude is approximately 1500 years.
We have to find the probability of an earthquake in this magnitude range sometime in the next 30 years.
Since, an occurrence of an earthquake is a rare event, we can use Poisson distribution here.
Poisson distribution gives the probability of occurrence of any event in a given time interval.
Let the average number of event per year in 30 years of period is λ.
\(\lambda = \frac{1500}{30}\)
λ = 50
Let, the occurrence of an earthquake is a random variable x.
Then the probability that at least an earthquake occur in next 30 years is calculated as:
P(x ≥ 1) = 1 - P(x<1)
P(x ≥ 1) = 1- P(x=0) -----(1)
PDF of Poisson distribution with parameter λ is given as:
\(P(X = x) = \dfrac{e^{-\lambda}{\lambda}^x}{x!}\)
So, in this case
\(P(x=0)= \dfrac{e^{-50}{(50)}^0}{0!}\)
\(P(x=0)= \dfrac{1.9287 \times 10^{-22}}{1}\)
\(P(x=0)={1.9287 \times 10^{-22}\)
Substitute this value in equation (1)
P(x ≥ 1) = 1 - 1.9287 x 10⁻²²
Hence, the probability of an earthquake in next 30 years is
1 - 1.9287 x 10⁻²².
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A patient receives an injection of 1.9 millligrams of a drug , and the amount remaining in the bloodstream t hours later is A(t) = 1.9 e ^-0.05t . Find the instantaneous rate of change of this amount at the following intervals .
(a) just after the injection (at time t=0 ).
________mg per hr
(b) after 9 hours (Round your answer to three decimal
places.)
________mg per hr
(a) The instantaneous rate of change just after the injection is -0.095 mg per hr.
(b) The instantaneous rate of change after 9 hours is approximately -0.066 mg per hr.
(a) To find the instantaneous rate of change just after the injection (at time t=0), we need to calculate the derivative of A(t) with respect to t and evaluate it at t=0.
A(t) = 1.9e\()^{(-0.05t)\)
Taking the derivative:
A'(t) = (-0.05)(1.9 *e\()^{(-0.05t)\)
Evaluating at t=0:
A'(0) = (-0.05)(1.9*e \()^{(-0.05(0))\)
= (-0.05)(1.9)(1)
= -0.095 mg per hr
Therefore, the instantaneous rate of change just after the injection is -0.095 mg per hr.
(b) To find the instantaneous rate of change after 9 hours, we again calculate the derivative of A(t) with respect to t and evaluate it at t=9.
A(t) = (1.9e\()^{(-0.05t)\)
Taking the derivative:
A'(t) = (-0.05)(1.9*e\()^{(-0.05t)\)
Evaluating at t=9:
A'(9) = (-0.05)(1.9*e\()^{(-0.05t)\)
Further we find:
A'(9) ≈ -0.066 mg per hr (rounded to three decimal places)
Therefore, the instantaneous rate of change after 9 hours is approximately -0.066 mg per hr.
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Say you own an asset that had a total return last year of 14.1 percent. If the inflation rate last year was 2.83 percent, what was your real return?
If the inflation rate last year was 2.83 percent, your real return was 11.27 percent.
After deducting taxes and inflation, an investment's real yield is what was made. Real returns are less favorable than nominal returns, which do not account for inflation or taxation.
The real return is the nominal return minus the inflation rate. In this case, the nominal return is 14.1 percent and the inflation rate is 2.83 percent. Therefore, the real return is:
Real return = Nominal return - Inflation rate
Real return = 14.1% - 2.83%
Real return = 11.27%
So the real return on the asset was 11.27 percent.
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A line passes through the point (6, - 3) and has a slope of -2.
Write an equation in slope-Intercept form for thls line.
To find the equation of the line passing through the point (6, -3) with a slope of -2, we can use the point-slope form of the equation of a line:y - y1 = m(x - x1)where (x1, y1) is the given point and m is the slope.Substituting the given values, we get:y - (-3) = -2(x - 6)Simplifying, we get:y + 3 = -2x + 12Subtracting 3 from both sides, we get:y = -2x + 9So, the equation of the line is y = -2x + 9
Find the area of a parallelogram if a base and corresponding altitude have the indicated lengths.
Base 3 1/2 feet, altitude 3/4 feet.
Answer:
below
Step-by-step explanation:
base * height = area of a parallelogram
7/2 × 3/4
=21/8 feets
Help me on this I can’t fail
Answer:
c = green line
How many solutions does this equation have?
–10q = –10q − 7
Answer:
None (no solutions)
Step-by-step explanation:
-10q=-10q-7 (add 10q to both sides to get the costant 7 by itself)
-10q+10q=-10q+10q-7
0=-7 ( zero will never equal -7 hence there are no solutions to this equation)
Solve for x using the Master Product.
6x²x2=0
Answer: 0
Step-by-step explanation:
12x^3
divide both sides by 12
x^3=0
another term for positive correlation is ______. group of answer choices direct correlation indirect correlation nondirectional correlation unidirectional correlation
Another term for positive correlation is "direct correlation." In a direct correlation, as one variable increases, the other variable also tends to increase.
This implies a positive linear relationship between the variables. For example, if we observe that as the number of hours spent studying increases, the test scores also increase, we can say that there is a direct correlation between study hours and test scores.
It indicates that there is a consistent and predictable relationship between the variables, with both moving in the same direction. The terms "indirect correlation," "nondirectional correlation," and "unidirectional correlation" do not accurately describe a positive correlation.
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What are the multiples of 12, of which the square root is 6
The only multiple of 12 with a square root of 6 is 12 times 3, or 36 using generate multiples of 12 .
The multiples of 12 are numbers that are divisible by 12 without a remainder. We can generate multiples of 12 by multiplying 12 by any integer. For example, the first few multiples of 12 are 12, 24, 36, 48, 60, and so on.
To find which multiples of 12 have a square root of 6, we can use the following formula:
√(12n) = √(12) * √(n)
Since the square root of 12 is equal to 2 times the square root of 3, we can simplify the formula as follows:
√(12n) = 2 * √(3n)
If the square root of 12n is equal to 6, then we can set up an equation and solve for n:
2 * √(3n) = 6
√(3n) = 3
3n = 9
n = 3
In summary, we can use the formula √(12n) = 2 * √(3n) to find which multiples of 12 have a square root of 6. By solving for n, we find that the only multiple of 12 with a square root of 6 is 36.
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In 1-4, write an equation in slope-intercept form to represent each table (just the first 4)
Answer:
Q1 y = 17/2x - 2
Q2 y = -3x + 14
Q3 y = 1/4x
Q4 y = 1/8x + 10
Step-by-step explanation:
See, the problem here is, you did everything to NOT convert the decimals into fractions. You would´ve had the right answers if you just learned to deal with the fractions. I´ll only going to be explaining 2 questions since there´s four of them.
Question Two
You take two points from the table, then you do y2 - y1 over x2 - x1. -1 - 5 / 6 - 3 = -6/3 and 3 divided by -6 is -3. Which should give you "m" the slope. Which the slope for this question is -3. To find "b" our y-intercept, we will need to plug in the points from one of the two points we took in the chart into the format of y = mx + b. I chose to do, 5 = -3(3) + b. Multiply m times the x, 5 = - 9 + b. So now, we add 9 to itself to cancel itself out and add it to 5. Which gives us, 14 = b. So our equation is, y = -3x + 14
Question 3
This one is relatively easy, since looking at the table we know theres no b or m. Just a constant rate times x. The same thing we did the last question, take two points from the equation. y2 - y1 over x2 - x1. 1 - 0 over 4 - 0. Which gives us 1/4. 1/4 is our constant rate of change. y = 1/4x
The equation in slope intercept form to represent each table is
Q1 y = 17/2x - 2 Q2 y = -3x + 14 Q3 y = 1/4x Q4 y = 1/8x + 10What is slope intercept form ?You ought to be familiar with two-variable linear equations. You should specifically be aware that the graph of these equations is a line. Check out our introduction to two-variable equations if this is new to you.Additionally, you should be knowledgeable with the y-intercept, x-intercept, and slope of linear equations.Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.Q2 : Then, you apply y2 - y1 over x2 - x1 over the two points you took from the table. In other words, 3 divided by -6 is equal to -3. This ought to give you the slope "m". Which means that this question has a slope of -3. We must enter the points from one of the two points we picked from the chart into the formula y = mx + b in order to determine "b," our y-intercept. I decided to do 5 = -3 (3) + b. 5 = - 9 + b when the x is multiplied by m. Thus, we add 9 to itself in order for it to cancel out and then add it to 5. The result is that 14 = b. Our equation is therefore y = -3x + 14.Q3 : This one is quite simple because it is obvious from the table that there is no b or m. just a fixed rate multiplied by x. Take two points out of the calculation, just like we did with the previous question. Over x2 - x1 is y2 - y1. 1 - 0 over 4 - 0. thereby giving us 1/4. Our constant rate of change is 1/4. y = 1/4xLearn more about Slope intercept form refer :
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please help me asap :(
Answer: 6
Step-by-step explanation:
Factors of 12 = 1,2,3,4,6, and 12.
1*12 or 12*1 = 2
2*6 or 6*2 = 2
3*4 or 4*3 = 2