The graph is plotted in the following figure .
To plot a graph we need 2 pts .
First eqn is of a circle ( \(x^{2}\) ) + ( \(y^{2}\) ) = 4
Second eqn is of a line x - y = 1
The center of circle is ( 0 , 0 )
The circle passes through ( 2 , 0 ) , ( 0 , 2 ) , ( - 2 , 0 ) , ( 0 , - 2 ) .
The line passes through ( 0 , 1 ) , ( 0 , - 1 ) .
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What is the slope of the line represented by the equation y = y=4/5x-3?
Answer:
4/5
Step-by-step explanation:
scores on an exam follow an approximately normal distribution with a mean of 76.4 and a standard deviation of 6.1 points. what is the minimum score you would need to be in the top 2%?
The minimum score needed to be in the top 2% of the exam is 90.5, which is two standard deviations above the mean.
To calculate the minimum score needed to be in the top 2%, we need to find the value of two standard deviations above the mean. This can be done using the formula x = μ + (2σ), where μ represents the mean and σ represents the standard deviation. In this case, μ = 76.4 and σ = 6.1. We substitute these values into the formula to get x = 76.4 + (2*6.1), which equals 90.5. Therefore, the minimum score needed to be in the top 2% is 90.5. To further understand this calculation, it is important to note that the normal distribution curve is symmetrical. This means that the area under the curve that is two standard deviations above the mean is 2%, which is the same as the area under the curve that is two standard deviations below the mean. Therefore, the score that is two standard deviations above the mean is the minimum score needed to be in the top 2%.
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Photo Necessities produces camera
cases. They have found that the cost,
c(x), of making x camera cases is a
quadratic function in terms of x.
The company also discovered that it
costs $16 to produce 2 camera cases, $18
to produce 4 camera cases, and $48 to
produce 10 camera cases.
Here is the cost function used to
represent this situation in terms of the
number of camera cases produced:
(x) = 0.5x2. 2x + 18
Find the total cost of producing 8 camera cases.
Answer:
A graphing calculator can do quadratic regression on the given points. It tells you the cost function is
.. c(x) = (1/2)x^2 +8x +10
Then c(12) = 178
The cost function predicts the total cost of producing 12 camera cases is $178.
Step-by-step explanation:
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Ms. Moneyhun's son, Sam, just learned to crawl. He can crawl 20 ft in one minute. How many feet can Sam crawl in one hour? (Hint: there are 60 minutes in one hour)
Answer:
1200 ft in one hour
Step-by-step explanation:
The ratio of Sam crawling 20 ft in one minute can be written as:
20:1
Multiply the ratio by 60 to get the minutes to 60 minutes, because there are 60 minutes in an hour:
20 : 1
×60 ×60
To get:
1200:60 ⇒ This means Sam can crawl 1200 ft in 60 minutes, which is the same as 1200 ft in one hour.
Hope this helps! :)
the row numbers along the left side of a worksheet are as follows: 1 2 4 5 6. this indicates that row 3 is:
The row numbers along the left side of the worksheet are 1, 2, 4, 5, 6. We can observe that there is a missing number in the sequence, specifically the number 3. Therefore, based on the pattern, we can deduce that row 3 is missing from the worksheet.
Based on the given information, the row numbers along the left side of the worksheet are 1, 2, 4, 5, 6, with a missing number in the sequence, which is the number 3.
The presence of the numbers 1, 2, 4, 5, and 6 indicates that rows corresponding to those numbers exist in the worksheet. However, there is no row with the number 3 mentioned in the sequence. Thus, we can conclude that row 3 is missing from the worksheet.
It is important to note that the missing row could be intentional or accidental, but based on the given information, we can deduce that there is a discontinuity in the row numbering, specifically the absence of row 3.
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5 x 1 please?? im teaching my cousin right now
HEY THERE! PLS HELP ME WITH THIS MATH QUESTION- AN EXPLANATION WOULD BE GREAT! THE CORRECT ANSWER SHALL BE MARKED AS BRAINLIEST AND ACHIEVE 10 POINTS! THANKS :)
xoxo
Answer:
I might be wrong but I think it's 180 millimeters.
Step-by-step explanation:
4cm times 5cm times 9cm = 180 millimeters
1. 4cm times 5cm = 0.002 m^2
2. 0.002 m^2 times 9cm = 180 millimeters
Hopes this helps. If not please tell me. I will try to improve.
a fruit basket contains apples, oranges, and tangerines in the ratio 3:2:5, respectively. what is the total number of apples, oranges, and tangerines in the fruit basket?
The total number of apples, oranges, and tangerines in the fruit basket is in the ratio 10 or 10x
In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.
A ratio compares two quantities by division, with the dividend or number being divided termed the antecedent and the divisor or number that is dividing termed the consequent.
We know that : the ratio of apples : oranges : tangerines = 3 : 2 : 5.
The total number of apples, oranges, and tangerines in the fruit basket is the total number of ratio, that is 3 + 2 + 5 = 10.
Because of the question is not contain information about the number of pieces, we can describe the dividend with x (or unknown value). So, the total number of apples, oranges, and tangerines in the fruit basket with ratio, that is 10 or 10x.
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You work in Social Media as a consultant. You are working on a new report to examine trends in Social Media usage and age. You conducted a survey of 1072 people randomly selected in the United States (you limited minimum age to 12). The file "Usagef.xlsx" has results of the survey. For each Social Media platform you have a 0/1 variable indicating whether or not the person said they used the platform in the last 6 months. For each of those variables, 1 means the person did use the platform in the last 6 months and 0 means they did not. You also have the age of each respondent calculated based on birth date (so 43.56 means the individual is 43.56 years old). There are two additional variables:
Young adult: 1=respondent is under 35; 0=respondent is 35 or over.
Platforms Used: The total number of Social Media platforms used in the last 6 months.
Please use this information and the data in the excel spreadsheet "Usagef.xlsx" to answer the following questions:
Assuming the sample is a random sample of the U.S. population, what is the upper bound of the 95% confidence interval for the average age in the U.S?
The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.
To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.
Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.
Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.
Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.
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What is the rate of change of the line through (-8, 4) and (-10, 0)?
Answer: (3,8) and (-2, 10)
Step-by-step explanation:
the slope of the line passing
A backpack that normally sells for $39 is on sale for $25. Find the
percent of change.
Answer: To find the discount, simply multiply the original selling price by the %discount:
ie: 39 x 33/100= $12.87
So, the discount is $12.87.
Step-by-step explanation: To find the sale price, simply minus the discount from the original selling price:
ie: 39- 12. 87= 26.13
So, the sale price is $26.13
What causes waves? (in Science)
Back
BIG IDEAS MATH
0
The triangle shown is an equilateral triangle. What is the perimeter of the triangle?
5-2x
-4x+9
3
equilateral so 5-2x=-4x+9
x=2
5-2×2=1
the trainangle is equilateral and has three sides
1+1+1=3
Graph the solution set of the inequality and write the solution using interval notation. Please give me a step by step explanation.
We have the inequality:
-4 < (3x - 2)/5 ≤ 6
We multiply all the sides by 5:
-4*5 < 5*(3x - 2)/5 ≤ 6*5
-20 < 3x - 2 ≤ 30
Now, we add 2 to all the sides of the inequality:
-20 + 2 < 3x - 2 + 2 ≤ 30 + 2
-18 < 3x ≤ 32
Finally, we divide by 3:
-18/3 < 3x/3 ≤ 32/3
-6 < x < 32/3
Now, using interval notation:
x = (-6, 32/3]
This means that x takes all the values greater than -6 and less or equal to 32/3. Graphically, this is:
In a game
of ice hockey, the hockey puck took 0.6 second to travel 66 feet to the goal line. Determine the
the average speed of the puck in feet per second.
Answer:
The average speed of the puck is 110 ft per second.
Step-by-step explanation:
Using the d = st formula to find distance when given the speed and time, you can rewrite it to be s = d/t.
When you substitute the values in, you get s = 66/0.6, which is 110.
Hope this helps.
P.S. Mark as brainliest!
What is the value of -16?
A. -4
B. -4i
C. 4i
D. 4;2
Answer:
B
Step-by-step explanation:
Answer:I don't get what d means and what it means by value but choose a.
it makes the most sense,
Step-by-step explanation:
Prove using rules of inference 1. If the band could not play rock music or the refreshments were not delivered on time, then the New Year's party would have been canceled and Alicia would have been angry. If the party were canceled, then refunds would have had to be made. No refunds were made. Therefore the band could play rock music. 2. If you are not in the tennis tournament, you will not meet Ed. If you aren't in the tennis tournament or if you aren't in the play, you won't meet Kelly. You meet Kelly or you meet Ed. It is false that you are in the tennis tournament and in the play. Therefore, you are in the tennis tournament.
The main answer for the first argument is that we cannot prove that the band could play rock music based on the given premises and rules of inference.
1. Let's assign the following propositions:
- P: The band could play rock music.
- Q: The refreshments were delivered on time.
- R: The New Year's party was canceled.
- S: Alicia was angry.
- T: Refunds were made.
2. The given premises can be expressed as:
(¬P ∨ ¬Q) → (R ∧ S)
R → T
3. To prove that the band could play rock music (P), we need to derive it using valid rules of inference.
4. Using the premises, we can apply the rule of modus tollens to the second premise:
R → T (Premise)
Therefore, ¬R.
5. Next, we can use disjunctive syllogism on the first premise:
(¬P ∨ ¬Q) → (R ∧ S) (Premise)
¬R (From step 4)
Therefore, ¬(¬P ∨ ¬Q).
6. Applying De Morgan's law to step 5, we get:
¬(¬P ∨ ¬Q) ≡ (P ∧ Q)
7. Therefore, we can conclude that the band could play rock music (P) based on the premises and rules of inference.
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Hurry & help me out for a Brainlist but please add explanation
Answer:
i cant really understand what its asking but heres how to do it,
Step-by-step explanation:
you want to plug the y, either 36 56 or 76 into where it says y=
then you do the same with the corresponding x intercept and then do basic algebra
Air enclosed in a sphere has density 1.2 kg/m3. What will the density be ifthe radius of the sphere is halved, compressing the air within?
Therefore, The density of air enclosed in a sphere with a radius halved will be 9.6 kg/m3. This is because the volume reduces by a factor of 8, resulting in an increase in density by a factor of 8.
When the radius of the sphere is halved, the volume of the sphere reduces by a factor of 8. Since the mass of the air enclosed remains constant, the density of the air within the sphere will increase by a factor of 8. Therefore, the density of the air within the sphere will be 9.6 kg/m3 after compression.
The density of the air enclosed within a sphere is given as 1.2 kg/m3. When the radius of the sphere is halved, the volume of the sphere reduces by a factor of 8 (since volume is proportional to the cube of radius). However, the mass of the air enclosed remains constant. Therefore, the density of the air within the sphere will increase by a factor of 8, resulting in a new density of 9.6 kg/m3.
Therefore, The density of air enclosed in a sphere with a radius halved will be 9.6 kg/m3. This is because the volume reduces by a factor of 8, resulting in an increase in density by a factor of 8.
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Can someone please help me with math.
Answer:
16) x = 11
17) C
Step-by-step explanation:
16) take square root of each side
17) look for the answer that has a +1 as the y-intercept and a positive slope
Consider the Cobb-Douglas production function: Y=F(K,L)=AK θ
L 1−θ
,θ∈(0,1) where Y - output, A - productivity parameter, K - capital, L labor, θ - capital share parameter and also the elasticity parameter. Recall that marginal products tell us what happens to output when only one of the inputs is increasing by 1 unit, holding all other inputs constant (ceteris paribus). This is exactly the meaning of partial derivatives. The returns to scale of a production function tell us what happens to output when all inputs increase by some factor λ>0 (b). Prove that Cobb-Douglas production function has Constant Returns to Scale (CRS). Recall the definition of CRS: A production function F(K,L) has Constant returns to Scale if ∀λ>0 we have F(λK,λL)=λF(K,L). In other words, scaling the inputs by a factor λ (e.g. doubling the inputs) leads to scaling the output by the same factor. In mathematics, such functions are called homogeneous of degree 1. Homogeneous of degree n functions, are such that F(λK,λL)=λ n
F(K,L),∀λ>0. Solution. F(λK,λL)=
Notice that this expression is equivalent to λF(K, L), which is the condition we want to prove. Therefore, the Cobb-Douglas production function has constant returns to scale.
In general, Cobb-Douglas production functions are homogeneous of degree 1 because when we scale the inputs by a factor λ, the output scales by the same factor.
Let's start by evaluating F(λK, λL) for the Cobb-Douglas production function:
F(λK, λL) = A(λK)^(θ)(λL)^(1-θ)
Using the properties of exponents, we can simplify this expression:
F(λK, λL) = Aλ^(θ)K^(θ)λ^(1-θ)L^(1-θ)
Now, let's evaluate λF(K, L):
λF(K, L) = λ[AK^(θ)L^(1-θ)]
Using the distributive property, we can further simplify this expression:
λF(K, L) = AλK^(θ)L^(1-θ)
Comparing the two expressions, we can see that they are equal:
F(λK, λL) = λF(K, L)
This verifies that the Cobb-Douglas production function satisfies the condition for constant returns to scale. For any scaling factor λ > 0, scaling the inputs by λ also scales the output by the same factor λ.
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You start at (5, 4). You move left 3 units and up 4 units. Where do you end
Answer:
21
Step-by-step explanation:63
Subtract. Write your answer in simplest form.
9 1/14 - 3 6/7
A. 6 1/14
B. 5 3/14
C. 5 11/14
D. 6 11/14
Answer:
Answer is B- 5 3/14.
I just need to fill in characters for this to submit, but hopefully this helped you out!
the 95% confidence interval for these parts is 56.98 to 57.05 under normal operations. a systematic sample is taken from the manufacturing line to determine if the production process is still within acceptable levels. the mean of the sample is 57.04. what should be done about the production line? homework help: 5de. given a confidence interval and sample mean, what decisions can be made (links to an external site.)(docx) group of answer choices stop the line as it is inside the confidence interval keep the line operating as it is outside the confidence interval stop the line as it is outside the confidence interval keep the line operating as it is inside the confidence interval
Because the sample mean (57.04) is within the 95% confidence interval, keep the line operating as it is (56.98 to 57.05).
Under typical circumstances, the production process's 95% confidence interval ranges from 56.98 to 57.05. To check whether the manufacturing line's production process is still operating within allowable limits, a systematic sample was taken. The sample's mean, which was 57.04, was within the confidence interval. The results of the sample show that the manufacturing process is still within acceptable limits, hence the production line should be continued in operation as it is now inside the confidence interval. This indicates that the procedure will probably keep producing parts that are up to par with quality standards. This sample result implies that the process is still functioning effectively and that it can be relied upon because the confidence interval provides a range of values that we can be 95% convinced the true mean will fall inside.
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PLEASE ANSWER THIS IS REALLY IMPORTANT!!!
Lightning flashes every 15 seconds one rainy night. How many times would it flash in 3 minutes? *
12 times in 3 minutes
Lightning flashes every 15 seconds and there’s four 15 seconds in one minute. So in a minute lightning strikes 4 times then you multiply the 4 times 3 minutes and you get 12.
How to find a coterminal angle between 0 and 360° ?
A coterminal angle is an angle that has the same initial side and terminal side as a given angle. The difference between the angle and the coterminal angle is a multiple of 360 degrees.
The following steps can be used to find a coterminal angle between 0 and 360 degrees:
Step 1: Identify the given angle. Let's assume that the given angle is 100 degrees.
Step 2: Add or subtract multiples of 360 degrees to the given angle to obtain a new angle that has the same initial and terminal sides. To obtain the angle that is between 0 and 360 degrees, add or subtract 360 degrees from the angle until the result is between 0 and 360 degrees.There are two ways to do this.
The first method is to add or subtract multiples of 360 until the result is between 0 and 360 degrees. The second method is to divide the given angle by 360 degrees and then multiply the quotient by 360 degrees.
The first method:Subtract 360 degrees from 100 degrees to get -260 degrees. Add 360 degrees to -260 degrees to get 100 degrees, which is between 0 and 360 degrees. Therefore, 100 degrees and 460 degrees are coterminal angles between 0 and 360 degrees.
The second method:Divide 100 degrees by 360 degrees to get a quotient of 0.27777777778. Multiply 0.27777777778 by 360 degrees to obtain 100 degrees, which is between 0 and 360 degrees.
Therefore, 100 degrees and 460 degrees are coterminal angles between 0 and 360 degrees.
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Find the value of x answer: A.4 B.8 C.6.6 D.6
Answer:
The value of x is 4
Step-by-step explanation:
From what we can see in the diagram , the bigger triangle has lengths that are twice the smaller one
Thus, mathematically;
2(3x-4) = 16
3x - 4 = 8
3x = 8 + 4
3x = 12
x = 12/3
x = 4
[40pts] Which container holds more water? Approximately how much more?
Answer:
Answer down below!
Step-by-step explanation:
If you use area, you know that 8 x 10 = 80
and 4 x 5 = 20
So the cone holds more water
The approximate amount, if you subtract both, gives 60
an arithmetic sequence with first term $1$ has a common difference of $6$. a second sequence begins with $4$ and has a common difference of $7$. in the range of $1$ to $100$, what is the largest number common to both sequences?
The largest number common to both sequences is 67.
The arithmetic sequence with first term 1 has a common difference of 6 is given by:-
1,7,13,19, 25, 31, 37, 43, 49, 55, 61, 67, 73, 79, 85, 91, and 97
The arithmetic sequence with first term 4 has a common difference of 7 is given by:-
4,11, 18, 25, 32, 39, 46, 53, 60, 67, 74, 81, 88, and 95.
I have written the sequence until 100 only.
Hence, the numbers common to both the arithmetic sequences are :-
25 and 67
Hence, the largest number common to both sequences is 67.
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