Answer:
\((x - 2)^{2} + (y - 3)^{2} = 36\) is the equation of the circle
Step-by-step explanation:
\((x - h)^{2} + (y - k)^{2} = r^{2}\) where (h, k) is the center and r is the radius
In this case h = 2 and k = 3 and r = 6 (see below)
r adius =
\(\sqrt{(2 + 3)^{2} + (3 - 6)^{2} } \\= \sqrt{5^{2} + (-3)^{2} } \\= \sqrt{25 + 9\\}\\ = \sqrt{36} = 6\)
Therefore, \((x - 2)^{2} + (y - 3)^{2} = 36\) is the equation of the circle
The point (- 3, 6) is on a circle with a center at (2, 3) So, the equation of the circle will be (x-2)^{2} +(y-3)^{2}= 6^{2}.
What is the general equation of a circle?The general equation of a circle of radius represents all the points that lie on the circumference of the given circle.
The general equation of a circle is:
\(\rm (x-h)^{2} +(y-k)^{2}= r^{2}\)
where (h, k) is the center and r is the radius
The point (- 3, 6) is on a circle with a center at (2, 3).
here, h = 2 and k = 3
\(\sqrt{(2+3)^{2} +(3-6)^{2}} \\\\\sqrt{5^2+3^2} \\\\\sqrt{36} \\\\6\)
therefore, the radius is 6 units.
Now, the equation of a circle is:
\(\rm (x-h)^{2} +(y-k)^{2}= r^{2}\)
\(\rm (x-2)^{2} +(y-3)^{2}= 6^{2}\)
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Which statistical measurement informs a CTRS about how well the assessment results compare to what is being measured?A.Equivalent-forms reliabilityB.Criterion-related validityC.Test-retest reliabilityD.Construct validity
The statistical measurement that informs a CTRS about how well the assessment results compare to what is being measured is Construct validity.
Construct validity assesses how well the assessment measures the intended construct or trait, and compares the results to other tests or measures of the same construct to determine how accurate and reliable the assessment is.
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Please help I will mark brainliest!!!!!
Answer:
#1 (4b + 6a) #2 150y
Step-by-step explanation:
#1 :area of right triangle: ab/2
4x2/2 = 4b
area of rectangle: length x width
2 x 3 = 6a
#2:
5y + 2.5y = 7.5y x 2 = 15y
so the top and bottom are both 15 y
the sides are each 5y so thats 10 y
15x10= 150y
what happens to an inequality sign when the inequality is multiplied or divided by a negative number
When an inequality is multiplied or divided by a negative number, the inequality sign will flip, meaning it will change its direction. For example, if you have a > b and you multiply or divide both sides by a negative number, the inequality will become a < b. This is because the relationship between the values reverses when multiplied or divided by a negative number.
Explanation:
When an inequality is multiplied or divided by a negative number, the direction of the inequality sign is flipped. This is because multiplication or division by a negative number, results in a reversal of the order of the numbers on the number line.
To see why this happens, consider the following example:
Suppose we have the inequality x < 5. If we multiply both sides of this inequality by -1, we get -x > -5. Notice that we have flipped the inequality sign from "<" to ">". This is because multiplying by -1 changes the sign of x to its opposite, and also changes the sign of 5 to its opposite, resulting in a reversal of the order of the numbers on the number line.
Similarly, if we divide both sides of the inequality x > 3 by -2, we get (-1/2)x < (-3/2). Here, we have again flipped the inequality sign from ">" to "<". This is because dividing by a negative number also changes the order of the numbers on the number line.
In general, if we have an inequality of the form a < b or a > b, where a and b are real numbers, and we multiply or divide both sides by a negative number, we obtain:
If we multiply by a negative number, the inequality sign is flipped. For example, if a < b and c < 0, then ac > bc.
If we divide by a negative number, the inequality sign is also flipped. For example, if a > b and c < 0, then a/c < b/c.
Therefore, it is important to be mindful of the signs of the numbers involved when performing operations on inequalities. If we multiply or divide by a negative number, we must flip the direction of the inequality sign accordingly.
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What is the difference of the two polynomials?
(7y2 + 6xy) – (–2xy + 3)
7y2 + 4xy – 3
7y2 + 8xy – 3
7y2 + 4xy + 3
7y2 + 8xy + 3
Answer:
7y2 + 8xy - 3
Step-by-step explanation:
7y2 + 6xy + 2xy -3 You distribute the - sign through the second binomial. You are distributing or multiplying (-2xy -3) by -1 Combine like terms
7y2 + 8xy -3
Answer:
What is the difference of the two polynomials?
(7y2 + 6xy) – (–2xy + 3)
7y2 + 4xy – 3
7y2 + 8xy – 3 Correct
7y2 + 4xy + 3
7y2 + 8xy + 3
Step-by-step explanation:
The circumference of a circle is 91.688 millimeters. what is the radius of the circle? use 3.14 for π. 29.2 mm 183.4 mm 14.6 mm 45.8 mm
Answer:
14.6mm
Step-by-step explanation:
The formula for finding the circumference of a circle is 2πr.
The circumference is 91.688 millimeters inorder to find the radius we have to do the opposite or inverse of multiplication which is division.
So we divide the circumference by 2 and pi which is 3.14 which will give us the radius
r = radius = 91.668 ÷ 3.14 ÷ 2 = 14.6
Answer: its c
Step-by-step explanation:
what is the probability a randomly selected manhattan resident spends new years eve at times square given the resident is out of town on new years eve?
The probability that a randomly selected Manhattan resident spends New Year's Eve at Times Square, given that the resident is out of town on New Year's Eve, is 0.
Determine the probability?If the resident is out of town on New Year's Eve, it implies that they are not present in Manhattan during that time. Therefore, it is not possible for them to spend New Year's Eve at Times Square if they are not in town.
Since the resident is out of town, the probability of them being at Times Square on New Year's Eve is zero. Probability is a measure of the likelihood of an event occurring, ranging from 0 (impossible) to 1 (certain). In this case, the event of a resident being at Times Square on New Year's Eve is impossible because they are out of town.
Hence, the probability of a randomly selected Manhattan resident spending New Year's Eve at Times Square, given that they are out of town on New Year's Eve, is 0.
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Assume that there are 335,104 new cases of gonorrhea reported among the U.S. population in the past month. When calculated, this would be 115.2 per 100,000 or approximately 1 reported case per 1,000 population. The value represents ______
The value represents the incidence rate of gonorrhea in the U.S. population, which is a crucial measure used in epidemiology to understand the frequency and spread of a disease within a given population.
By analyzing the number of new cases reported, health officials and researchers can gauge the impact and burden of the disease on the population.
In this case, with 335,104 new cases of gonorrhea reported among the U.S. population in the past month, the incidence rate is calculated as 115.2 per 100,000 people. This means that for every 100,000 individuals in the population, there were approximately 115.2 reported cases of gonorrhea within the given time frame. Another way to interpret this is that for every 1,000 people, there was an average of 1 reported case.
This value helps public health authorities assess the magnitude of the issue, monitor trends, and allocate resources appropriately. It also serves as a basis for comparisons with previous periods or different populations, aiding in the identification of high-risk groups and the development of targeted prevention and control strategies.
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Its 8:20, you add 175 minutes to the time. What time is it?
Answer:
12
Step-by-step explanation:
Answer:
12:00
Step-by-step explanation:
Sucesión monótona creciente:
An increasing monotonic sequence is a sequence of numbers in which each term is greater than or equal to the preceding term.
We have,
An increasing monotonic sequence is a sequence of numbers in which each term is greater than or equal to the preceding term.
In other words,
The sequence is monotonically increasing, with no decreasing terms.
For example,
The sequence {1, 3, 5, 7, 9, ...} is an increasing monotonic sequence, as each term is greater than the one before it.
Thus,
An increasing monotonic sequence is a sequence of numbers in which each term is greater than or equal to the preceding term.
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The complete question
Increasing monotonic sequence:
GIVING BRAINLIEST What is the volume of the rectangular prism below?
Answer:
148.8
Step-by-step explanation:
Need help ASAP!!
What was the CPI for 2020 if 2019 was the base year?
A. 120
B. 125
C. 130
D. 135
What was the CPI for 2021 if 2019 was the base year?
A. 145
B. 150
C. 155
D. 160
The consumer price index for each year is given as follows:
2020: D. 1352021: D. 160.How to obtain the consumer price index?The sum of the prices in 2019 is given as follows:
2.5 + 1 + 3.75 = 7.25.
The sum of the prices in 2020 is given as follows:
2.25 + 3 + 4.5 = 9.75.
Hence the CPI for 2020 is obtained as follows:
CPI = 9.75/7.25 x 100
CPI = 135.
The sum of the prices in 2021 is given as follows:
3 + 3.25 + 5 = 11.25.
Hence the CPI for 2021 is obtained as follows:
CPI = 11.25/7.25 x 100
CPI = 160.
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What is the equation of a line that is perpendicular to y = x + 4 and passes through (–2,8)?
Answer:
y= -x+6
Step-by-step explanation:
G1xG2= -1
G2= -1
-1 = (y-8)
-------
(x+2)
-1 (x+2)=y-8
-x-2=y-8
-y=x+2-8
y= -x+6
What is the domain of the function Y = 3 In x graphed below?
The given function is
\(\sf y=3ln(x)\)
Which is a logarithm function. An important characteristic of logarithms is that their domain cannot be negative, because the logarithm of a negative number is undefined, the same happens for x = 0.
Therefore, the domain of this function is all real numbers more than zero.
The image attached shows the graph of this function, there you can notice its domain restriction.
So, the right answer is the first choice: x greater than 0
1
-3
р
II
03
True
O False
Answer:
i dont understand it
Step-by-step explanation:
Daria chooses a paint color from 5 shades of blue, 2 shades of yellow, and 2 shades of purple to paint her room. She can choose either carpet or wood flooring. If each choice is equally likely, how much greater is the probability of her choosing a shade of blue and carpet than the probability of choosing a shade of yellow and wood flooring?
The probability of choosing a shade of blue and carpet is 1/6 greater than that of choosing a shade of yellow and wood flooring.
The total number of possible paint colors Daria can choose is 5 shades of blue + 2 shades of yellow + 2 shades of purple = 9 shades
The total number of flooring options Daria can choose from is carpet or wood = 2 options
The probability of choosing a shade of blue is 5/9 and the probability of choosing carpet is 1/2. So, the probability of choosing a shade of blue and carpet is (5/9) * (1/2) = 5/18.
The probability of choosing a shade of yellow is 2/9 and the probability of choosing wood flooring is 1/2. So, the probability of choosing a shade of yellow and wood flooring is (2/9) * (1/2) = 2/18
The probability of choosing a shade of blue and carpet is 5/18, and the probability of choosing a shade of yellow and wood flooring is 2/18. So, the probability of choosing a shade of blue and carpet is (5/18) - (2/18) = 3/18 or 1/6 greater than the probability of choosing a shade of yellow and wood flooring.
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now consider that the penetrance of the disease is 75%. what is the probability that individual ii-2 exhibits this disease given this penetrance?
The probability that individual ii-2 exhibits the disease given a 75% penetrance is 0.75 or 75%.
Penetrance refers to the probability of an individual expressing a particular trait or disease given their genetic makeup. In this case, the penetrance of the disease is 75%, which means that there is a 75% chance that an individual with the genetic mutation for the disease will actually exhibit the disease. Therefore, the probability that individual ii-2 exhibits the disease given this penetrance is also 0.75 or 75%.
1. Penetrance is the probability that an individual with a specific genotype will express the associated phenotype or disease.
2. In this case, the penetrance of the disease is 75%, which means there is a 75% chance that an individual with the disease-associated genotype will exhibit the disease.
3. Given this penetrance, the probability that individual ii-2 exhibits the disease is 0.75 or 75%.
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Explain why triangle ABC is similar to triangle CFE
Answer:
It's exactly the same, except the size
Step-by-step explanation:
Answer:
They are similar because if you look at the length of 2 of the sides that you know
Triangle ABC has side length 1 and 2 or 1:2
CFE has sides length 2 and 4 or 2:4 and 2:4 can also be written as \(\frac{2}{4}\) which is a fraction, and fractions can be simplified to 1:2.
So they are similar but just one is bigger then the other.
What is the solution to ther equation 2(x-4)squared=50
Answer:
x=9 x=-1
Step-by-step explanation:
2(x-4)^2=50
Divide each side by 2
2/2(x-4)^2=50/2
(x-4)^2=25
Take the square root of each side
sqrt((x-4)^2)=sqrt(25)
x-4 = ±5
x-4 =5 x-4 = -5
Add 4 to each side
x-4+4=5+4 x-4+4 = -5+4
Mentally solve 18 × 25
Answer:
450
Step-by-step explanation:
Step 1:
18 × 25 = 450
Answer:
450
Hope This Helps :)
Answer:
450 is your answer lol...
A student is graduating from college in six months but will need a loan in the amount of $2,560 for the last semester. the student receives an unsubsidized stafford loan with an interest rate of 6.8%, compounded monthly. what is the balance of the unsubsidized loan at the time of graduation?
The balance of the unsubsidized loan at the time of graduation is $3,691.10.
Given:
Principal amount = $2,560
Interest rate = 6.8% = 0.068
Time period = 6 months
We can use the formula for compound interest to calculate the future value:
\(Future\; Value = P (1 + \dfrac{Interest Rate}{Number of Periods}) ^{(Periods * Time )\)
Substituting the value back into the formula as
Future Value = \($2,560 (1 + \dfrac{0.068}{12} )^{(12 * 6)\)
= \($2,560 (1 + 0.00566667)^{(72)\)
= \($2,560 (1.00566667)^{(72)\)
= $2,560 * 1.44044291
= $3,691.10
Therefore, the balance is $3,691.10.
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Tickets for a play at the community theater cost $8 for children and $20 for adults. A total of 300 tickets have been sold for $3,900. How many children's tickets have been sold?
Answer:
125 adults
175 children
Step-by-step explanation:
3900=8c+20a
300=c+a
c=300-a
substitute
3900=8(300-a)+20a
reduce
3900=2400-8a+20a
1500=12a
a=125 adults
substitute for a
c=300-a
c=300-125
c=175 children
On Saturday Keisha ran 2.421 kilometers. On Sunday she ran 1.53 kilometers.
How much farther did she run on Saturday than on Sunday?
Answer:
0.891 km furthur
Step-by-step explanation:
2.421 - 1.53 = 0.891
When measuring the wind speed of a hurricane or similar storm, meteorologists don't want to get hit by flying debris. They use a measure available to them in the comfort of their TV studio. Luckily for the meteorologists, the barometric pressure is linearly related to the wind speed. Suppose scientists compared the wind speeds and barometric pressure readings of two severe storms over the Atlantic Ocean. For one of the storms, the barometric pressure was 1,000 mb (millibars), and the maximum wind speed was 100 kmh (kilometers per hour). The second had a barometric pressure of 960 mb and maximum wind speeds of 180 kmh.
Answer:
See below
Step-by-step explanation:
Continuation of question:
a) develop a rule that you could use to predict the wind speed given any barometric pressure b) use your rule to predict the wind speed of a hurricane with a barometric pressure of 980 mb. using what you know about linearity, explain why your prediction is reasonable c) interpret the intercept for wind speed in this context (i.e., as it pertains to the weather) d) explain the meaning of slope in this contextSolutiona) Since the relationship is linear, we'll build a formula using the two points
(1000, 100) and (960, 180)
Slope-intercept form
y = mx + bFinding the slope and y-intercept:
m = (180-100)/(960 - 1000) = 80/-40 = -2100 = -2*1000 + b ⇒ b = 2100So the function is
y = -2x + 2100b) x = 980
Using the function to find the wind speed:
y = -2*980 + 2100 = 140 kmhc) y-intercept is acting as correlation to barometric pressure demonstrating absolute wind speed in case zero barometric pressure (impossible in natural condition)
d) Negative slope demonstrates decreasing wind speed as barometric pressure increases
Question 2 of 5
Which of the following numbers is closest to 7?
A. 51
B. 47
C. 46
D. 50
Answer:
c
Step-by-step explanation:
this is the closer to the number 7 on a number line
23x +5y−2, when x=6 and y=3.
Answer:
151
Step-by-step explanation:
Plug in 23(6)+5(3)-2
Simplify 138+15-2
Solve 153-2
151
hdjdsbsbsbhedjdidbdhdhdvdhdhd sorry I got the wrong answet
considering that there are multiple samples involved here, what will the mean of the sample means and the standard error of the mean be, according to the central limit theorem? use 3.5 for the population mean when rolling a standard die and 1.71 for the population standard deviation.
The population standard deviation by the square root of the sample size.
What is the population mean in this scenario?According to the central limit theorem, when multiple samples are taken from a population, the mean of the sample means will converge to the population mean.
In this case, if we repeatedly roll a standard die and calculate the mean of each sample, the mean of these sample means will approach 3.5, which is the population mean of the die.
The standard error of the mean is a measure of the variability of the sample means around the population mean. It can be calculated by dividing the population standard deviation by the square root of the sample size.
Since the sample size is not provided, we cannot determine the exact value of the standard error of the mean in this scenario.
In summary, the mean of the sample means will approach 3.5 (the population mean), while the standard error of the mean depends on the sample size and is not specified in this context.
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help!! I will give brainlist...
Answer:
I think it should be x-360
Step-by-step explanation:
general angle is counter clock wise and and reference angle is clockwise!
ONLY FOR 4th QUADRANT
Kaitlynn needs 3 pounds of fruit for a salad.
She already has 3/4 pounds of apples and 1/3 pounds of grapes.
How many more pounds of fruit does she need to buy?
answer:
1.92 pounds or 23/12 lb
step-by-step explanation:
first convert 3/4 and 1/3 to fractions that have the same denominator such as 9/12 and 4/12. then add the two numbers together and subtract it by 3 to get the answer. hope that helps!
Please Help!!! 10 Points! Brainliest Answer
. Your teacher recently found an old Nintendo in a thrift store. Use the formula to predict
the value of the Nintendo in 2020? (Remember, x is the years after 1986, and y is the
value, in $.) Do you think this is a realistic prediction of the value of that Nintendo?
Answer:
I'm love this question... I'm a huge gamer myself.
Anyway.. I would say it depends on the year.