The equations of the circles in standard form are, respectively:
Case 24: (x + 1)² + (y + 2)² = 5
Case 25: (x - 1)² + y² = 2
How to derive the standard equation of a circle
In this problem we find two representations of circles on Cartesian plane, whose formula in standard form is introduced below:
(x - h)² + (y - k)² = r²
Where:
(h, k) - Coordinates of the center.r - Radius of the circle.And the radius can be determine by using Pythagorean theorem on the line segment between the center and any point of the circle.
Case 24:
Radius:
r = √(1² + 2²)
r = √5
Center:
(h, k) = (- 1, - 2)
Standard equation:
(x + 1)² + (y + 2)² = 5
Case 25:
Radius:
r = √(1² + 1²)
r = √2
Center:
(h, k) = (1, 0)
Standard equation:
(x - 1)² + y² = 2
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\(cos(21) = \frac{4}{x} \)
Please help! brainliest to first correct answer!
Name ALL the sets of numbers to which -28 belongs.
a. Integers
b. Naturals, Integers, Reals
c. Integers, Rationals
d. Integers, Rationals, Reals
The price of a ceramic bead necklace (y) is directly proportional to the number of beads (x) on the necklace. Using the graph, which TWO statements are correct?
A) (0, 0) represents the unit rate.
B) (0, 1) represents the unit rate.
C) (1, 0.80) represents the unit rate.
D) (20, 25) represents the price of a necklace with 20 beads.
E) (25, 20) represents the price of a necklace with 25 beads.
first to answer correctly gets brainlest
Answer:
B and E are correct
Step-by-step explanation:
dujuan bought a car for $ 17000 , and ever since the car's value has decreased exponentially by 17 % per year. how long will it take for the car's value to be $ 5000 ?
It will take approximately 8.84 years for the car's value to be $5000.
We can use the formula for exponential decay to find the time it takes for the car's value to reach $5000:
V = V0 * \(e^{(-rt)\)
where V is the current value, V0 is the initial value, r is the decay rate, and t is the time in years. We can rearrange this formula to solve for t:
t = -ln(V/V0) / r
Plugging in the given values, we get:
t = -ln(5000/17000) / (-0.17) = 8.84 years (rounded to two decimal places)
Therefore, it will take approximately 8.84 years for the car's value to be $5000.
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In the inequality, what are all the possible values of x?
2(x + 12) - 16 58
Answer:
B)
Step-by-step explanation:
2(x + 12) − 16 ≤ 8
I am joyous to assist you anytime.
Answer:
b
Step-by-step explanation:
:)
Consider the following page reference string: 7, 2, 3, 1, 2, 5, 3, 4, 6, 7, 7, 1, 0, 5, 4, 6, 2, 3, 0, 1. Assuming demand paging with FOUR frames, how many page faults would occur for each of the following page replacement algorithms? 1. LRU replacement 2. FIFO replacement 3. Optimal replacement
Given a page reference string and four frames, we can calculate the number of page faults for different page replacement algorithms. For the given string, the number of page faults would be calculated for the LRU (Least Recently Used), FIFO (First-In-First-Out), and Optimal replacement algorithms. The algorithm with the minimum number of page faults would be the most efficient for the given scenario.
LRU Replacement: The LRU algorithm replaces the least recently used page when a page fault occurs. For the given page reference string and four frames, we traverse the string and keep track of the most recently used pages.
When a page fault occurs, the algorithm replaces the page that was least recently used. By simulating this algorithm on the given page reference string, we can determine the number of page faults that would occur.
FIFO Replacement: The FIFO algorithm replaces the oldest page (the one that entered the memory first) when a page fault occurs. Similar to the LRU algorithm, we traverse the page reference string and maintain a queue of pages. When a page fault occurs, the algorithm replaces the page that has been in memory for the longest time (the oldest page). By simulating this algorithm, we can calculate the number of page faults.
Optimal Replacement: The Optimal algorithm replaces the page that will not be used for the longest period of time in the future. However, since this algorithm requires knowledge of future page references, we simulate it by assuming we know the entire page reference string in advance. For each page fault, the algorithm replaces the page that will not be used for the longest time. By simulating the Optimal algorithm on the given string, we can determine the number of page faults.
By calculating the number of page faults for each of the three algorithms, we can compare their efficiency in terms of the number of page faults generated. The algorithm with the minimum number of page faults would be the most optimal for the given page reference string and four frames.
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what are the possible values for (randgen.nextint(9) -4)? assume a random number generator object named randgen exists. question 35 options: -4...4 -9...9 0...4 0...9
The correct option would be -4...4.
How to find the range of possible values for the expression (randgen.nextInt(9) - 4)?The expression (randgen.nextInt(9) - 4) uses a random number generator object named randgen to generate a random integer between 0 (inclusive) and 9 (exclusive) using the nextInt() method.
By subtracting 4 from this random integer, we determine the range of possible values for the expression.
Since the original random integer ranges from 0 to 8, subtracting 4 shifts the range to -4 to 4. This means that the possible values for (randgen.nextInt(9) - 4) can be any integer between -4 and 4, inclusive.
In other words, the expression can yield values such as -4, -3, -2, -1, 0, 1, 2, 3, and 4. These values cover a total of nine integers, including both positive and negative numbers.
Therefore, the correct option is -4...4, which represents the range of possible values for the expression (randgen.nextInt(9) - 4).
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Could you help with 7,8 and 9? they are short questions and I didn’t really feel like asking for a tutor for each question.
Problem N 7
Part A
Find out the measure of angle QRS
we have that
m by form a linear pair
m given
mmm
Part B
Find out the measure of angle Q
we have that
145=y+4y -----> by exterior angle theorem
solve for y
145=5y
y=29
Find out the measure of angle Q
mtherefore
mA roller coaster train with 6 passenger cars and the front decoration has a mass of 3,500kg. when the train has the front decoration and only 4 passenger cars, it has a mass of 2,400kg.
what is the mass of the decoration and of each passenger car?
The mass of the decoration is 200 kg and for each passenger car is 550 kg
How to determine the mass of the decoration and of each passenger car?From the question, we have the following parameters that can be used in our computation:
6 passenger cars and the front decoration = 3,500kg4 passenger cars and the front decoration = 2,400kgThese can be represented as
(6, 3500) and (4, 2400)
The slope of the above points represent the mass of each passenger car
This is calculated as
Slope = Difference in mass/Difference in number of cars
So, we have
Slope = (3500 - 2400)/(6 - 4)
Evaluate
Slope = 550
When there are no passenger cars in the train, we have
(0, Mass of decoration)
Using the slope formula, we have
Slope = (Mass of decoration - 3500)/(0 - 6)
So, we have
Slope = (Mass of decoration - 3500)/(-6)
This gives
(Mass of decoration - 3500)/(-6) = 550
Cross multiply
Mass of decoration - 3500 = -3300
Add 3500 to both sides
Mass of decoration = 200
Hence, the mass of decoration is 200 kg
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How many positive divisors does the number 24 have?
The sign in front of the Electric storm roller coaster states that all riders must be at least 54 inches tall to ride. If Andy is 5 feet 8 inches tall, can he ride the Electric Storm? Which law of logic leads you to this conclusion?
The height of Andy 68 inches is greater than the minimum requirement which is 54 inches. Yes, And can ride.
What is conversion?Conversion means to convert the same thing into different units.
The sign in front of the Electric storm roller coaster states that all riders must be at least 54 inches tall to ride. If Andy is 5 feet 8 inches tall.
Convert height of Andy into inches only. Then we have
⇒ 5 feet + 8 inches
⇒ 5 x 12 inches + 8 inches
⇒ (60 + 8) inches
⇒ 68 inches
The height of Andy 68 inches is greater than the minimum requirement which is 54 inches. Yes, And can ride.
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Mali has half of the cost of a day trip to a theme park for two people, and Sarah has one-third of the cost. What fraction of the cost do they have?
Answer:
5/6
Step-by-step explanation:
1/2=3/6
1/3=2/6
2/6+3/6=5/6
What are the solution(s) to the quadratic equation 40 - x2 = 0?
x = +2/10
x = +4/10
O x= +2/5
x = +4,5
Answer:
±2√10
Step-by-step explanation:
Given the equation 40 - x^2 = 0
Add x^2 to both sides
40 - x^2 + x^2 = 0+ x^2
40 = x^2
x^2 = 40
x = ±√40
x = ±√4 * √10
x = ±2√10
Hence the value of x is ±2√10
Simplify each trigonometric expression. cscθ cos θ tanθ
The simplified form of the trigonometric expression cscθ cos θ tanθ is 1. We can simplify the expression as follows: cscθ cos θ tanθ = (1/sinθ) * cosθ * (sinθ/cosθ) = 1
The first and third terms of the expression are reciprocals of each other, so they cancel out. The second term is simply cosθ, which is multiplied by 1/cosθ in the third term. This results in 1, which is the simplified form of the expression.
cscθ is the reciprocal of sinθ.
cosθ is the cosine of an angle θ.
tanθ is the tangent of an angle θ.
Derivation
The expression cscθ cos θ tanθ can be derived from the Pythagorean identity, which states that sin^2θ + cos^2θ = 1. We can rewrite this identity as 1 = sin^2θ + cos^2θ = 1/csc^2θ + 1/cos^2θ. This can be further simplified to 1 = 1 + 1/cot^2θ, which means that 1/cot^2θ = 0. We can then take the square root of both sides to get cotθ = 0. Finally, we can use the identity tanθ = 1/cotθ to get tanθ = 1.
Therefore, the simplified form of the trigonometric expression cscθ cos θ tanθ is 1.
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Newer models of community organizing and community building have fluidity between collaboration and advocacy, and look at community strengths. Group of answer choices True False
True. Newer models of community organizing and community building emphasize a fluid approach that combines collaboration and advocacy while focusing on community strengths.
In recent years, community organizing and community building have evolved to embrace more dynamic and inclusive approaches. These newer models recognize the importance of collaboration and advocacy as complementary strategies for effecting positive change within communities. Rather than viewing collaboration and advocacy as mutually exclusive, they emphasize the need to strike a balance between the two.
This fluidity allows community organizers and builders to engage in collaborative efforts that bring together diverse stakeholders, including community members, organizations, and institutions. By working together, these stakeholders can pool their resources, expertise, and perspectives to address shared challenges and work towards common goals. Collaboration fosters cooperation, relationship-building, and collective decision-making, enabling the community to tap into its inherent strengths and assets.
Advocacy involves speaking up for community needs, raising awareness about systemic issues, and promoting policy changes that can improve the overall well-being of the community. By combining collaboration and advocacy, community organizers and builders can create a more holistic and comprehensive approach that leverages community strengths, engages a broader range of stakeholders, and promotes sustainable change.
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this week luiz made 80% of what he made last week if he made $72 this week how much did he make last week?
Answer: He made $90 last week.
Assumption :
Let, Luis made $X last week.
He made $72 this week which is 80% of $X that he made last week
⇒ X * 80% = 72
⇒ X * 80/100 = 72
⇒ X = (72 * 100)/80
⇒ X = 90
Therefore, he made $90 last week.
To remember :
While solving this type of problems, be careful to understand which one of last time and current time is not given; just assume that one and input other conditions, the problem will be solved.
Triangle BCD is rotated 80 degrees clockwise about the origin to form triangle KLM. If m
Answer:
A. 30 degrees
Explanation:
There are four types of transformations and there are reflection, rotation, dilation, and translation.
Reflection, rotation, and translation are rigid transformations, that is, the preimage and image do not change in size or shape. It also means that the preimage and image will be congruent.
So if triangle BCD is rotated 80 degrees clockwise about the origin to form triangle KLM, and m
What is the speed of a car that traveled a total of 90 km in 2 hours
Answer:
45 km per hour
Step-by-step explanation:
assuming the car maintains the same speed for the entire travel the speed would be 45 km per hour
what is 1 1/4 divided by 1 2/5 for kahn academy ?
Answer:
25/28
Step-by-step explanation:
5/4 x 5/7 = 25/28
Answer:
25/28
Step-by-step explanation:
PLS ANSWER AS QUICKLY AS POSSIBLE PLSSSSSSSS
Answer:120
DCA=25+35=60
X=DCA+60=60+60=120
Step-by-step explanation:
let us make a tabe of values folliwong the rula that she save twice as much as she saved the day before
Answer:
We can use the expression 2x = y , where 'x' is the amount she saves yesterday and y being the amount she saves this day.
Table = if x = 0 , y = 0
if x = 1 , y = 2
if x = 2 , y =4
if x = 4 , y= 8
in each of problems 1 through 8: a. find a fundamental matrix for the given system of equations. b. find the fundamental matrix φ(t) satisfying φ(0) = i. 4. x = ?−1 −4 1 −1 ? x
(a) The fundamental matrix for the given system of equations is Φ(t) = e^(At).
Let's denote the given coefficient matrix as A:
A = [ -1 -4
1 -1 ]
The fundamental matrix Φ(t) for the system is given by the matrix exponential of the coefficient matrix A multiplied by t:
Φ(t) = e^(At)
(b) The fundamental matrix φ(t) satisfying φ(0) = I is the identity matrix.
Finding the fundamental matrix φ(t) satisfying φ(0) = I:
To find the fundamental matrix φ(t) satisfying φ(0) = I, we substitute t = 0 into Φ(t):
φ(0) = Φ(0) = e^(A * 0) = e^(0) = I
So, the fundamental matrix φ(t) satisfying φ(0) = I is the identity matrix.
In summary, for the given system:
(a) The fundamental matrix Φ(t) is e^(At).
(b) The fundamental matrix φ(t) satisfying φ(0) = I is the identity matrix, denoted as φ(t) = I.
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Mr. Quesada took out a loan for $12,000. To pay it back, he will make 24 monthly payments of $629. How much will he pay in interest?
Answer:
$3,096
Step-by-step explanation:
To find the total interest Mr. Quesada will pay, we need to first calculate the total amount he will pay back, and then subtract the original amount borrowed.
The total amount Mr. Quesada will pay back over 24 months is:
$629 x 24 = $15,096
Subtracting the original loan amount, we get:
$15,096 - $12,000 = $3,096
So Mr. Quesada will pay a total of $3,096 in interest over the course of the loan.
karl has $400 in a savings account. the interest rate is 10%, compounded annually. what type of model best fits this situation?
The fuel efficiency of one type of car is recorded in a scatterplot where the amount of gas used, x (in gallons), is paired with the distance traveled, y (in miles), for various trips. The equation for the line of best fit for the data is y = 28x. How can the y-intercept and slope of this line be interpreted
Answer:
The answer can be interpreted by the distance moved by each gallon :))
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
Just took it. Edg 2020. Hope this helps :)
what is the probability of obtaining a z value less than 1.5?
Answer:
About .9332
Step-by-step
This tells us that the probability that a z value is less than or equal to 1.5 is about .9332. Thus, the shaded region is about 93.32% of the entire curve. Let's try another example.
What is the domain and range of the graph?
Answer:
Domain: [-1, 5]
Range: [-1, 2]
Step-by-step explanation:
HELP ASAPPPPPPPPPPPPP
Answer:
Answer: A
Step-by-step explanation:
(go to attachment to see explanation)
hope this helped :D
3x + 3y = 3
\y=-1/x+2
y=-2
y = 0
y = 3
y = 1
Answer: \(y=3\)
Step-by-step explanation:
The intersection point of the graphs is the solution. So, you need to find the \(y\)-coordinate of the intersection point.
mating eagle pairs typically have two baby eagles (called eaglets). when there are two eaglets, the parents always feed the older eaglet until it has had its fill, and then they feed the younger eaglet. this results in an unequal chance of survival for the two eaglets. suppose that the older eaglet has a 50 percent chance of survival. if the older eaglet survives, the younger eaglet has a 10 percent chance of survival. if the older eaglet does not survive, the younger eaglet has a 30 percent chance of survival. let x be the number of eaglets that survive. which of the following tables shows the probability distribution of x ?
The set of probabilities for the number of eaglets is the
probabilities for how many eaglets will survive.
The table that shows the probability distribution is the option C;
X 0 1 2
p(x) 0.35 0.60 0.05
P(O) = 0.5 is the likelihood that the elder eaglet will live.
Therefore;
P(O') = 1 - 0.5 = 0.5 is the probability that the older eaglet won't survive.
The likelihood that the younger eaglet will survive if the older eaglet does not P(Y|O) = 10%
Therefore;
The likelihood that the elder eaglet will live while the younger eaglet does not survive is P(Y'|O) = 1 - 10% = 90%.
When the older eaglet does not survive, the younger eaglet has a 30% survival chance (P(Y|O')).
Therefore;
The likelihood that the younger eaglet will not survive, compared to the elder eaglet, is P(Y'|O') = 1 - 30% = 70%
The collection of potential probabilities for the number of eaglets that survive is expressed as the probability distribution, or P(X)
The range of potential results includes:
Never survives:
The likelihood that no eaglets survive is equal to P(O') × P(Y'|O') = 0.5 × 0.7 = 0.35.
The only survivor is:
The likelihood that only one eaglet survives is determined by P(O) = P(Y'|O) × P(O') = P(Y|O'), which results in P = 0.5 × 0.9 + 0.5 × 0.3 = 0.6 Both survive:
The odds of both eaglets surviving are P(O) ×P(Y|O) = 0.5 × 0.1 = 0.05.
The table of the probability distribution is therefore;
X 0 1 2
p(x) 0.35 0.60 0.05
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