an equation for a circle has formula
(x-m)² + (y-n)² = r²
where (m,n) is its center
and r is its radius
so, the equation has center (4,3) and radius 4
the equation is derived from the pythagorean theorem
Two types of survey questions are open questions and closed questions. An open question allows for any kind of? response; a closed question allows for only a fixed response. An open question and a closed question with its possible choices are given below. List the advantages and disadvantages of each question.Open? question: What can be done to get students to eat healthier? foods?Closed? question: How would you get students to eat healthier? foods?1. Mandatory nutrition course2. Offer only healthy foods in the cafeteria and remove unhealthy foods3. Offer more healthy foods in the cafeteria and raise the prices on unhealthy foods
Answer:
Let's start with the open question.
Benefits
The benefits of using an open question is that it allows you to get a wide array of answers. People asked can come up with unique answers that the person who came up with the survey may not have thought of. This allows for more possibilities of finding a good solution.
Disadvantages
The disadvantage of this system is that you may get answers that would not work. For instance, if you wanted to incentivize students to each healthier, an open ended answer might suggest giving a monetary reward for those who eat healthy. This is not feasible in a school, so therefore getting this as an answer is a waste of time.
Now let's tack the close question.
Benefits
The key benefit of the closed question is that is allows you to settle between options that the surveyor has set on. Likely, if there are 3 answers, we know that these are the only ways that we can solve the problem with the resources that we have.
Disadvantages
If you ask a question this way, there is not chance that you'll be given alternative methods to solving the problem. Someone being surveyed may have a great idea on how to solve the problem that is not listed. Using this method will not garner you the response to inform you of this way.
Open questions in surveys capture rich data and offer depth of knowledge but are harder to analyze. Closed questions allow for easy analysis and comparison but tend to limit the respondents' answers.
Explanation:Open and closed questions in surveys convey their individual advantages and disadvantages. Open questions offer the advantage of capturing rich, detailed data that can provide profound insights. For instance, in response to 'What can be done to get students to eat healthier foods?' a variety of unforeseen ideas may surface, providing a depth of knowledge. However, open questions are harder to analyze due to the broad variety of responses, and they may confuse or overwhelm respondents with their open-ended nature.
On the other hand, closed questions, such as 'How would you get students to eat healthier foods?' with provided options, have the advantage of readily quantifiable answers which allows for easy comparison and analysis. These questions also guide respondents in formulating their answers. However, they may limit respondents' answers and may not provide the full perspective or nuanced responses that open questions can elicit.
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Brian wants to purchase a car wash "package" from his local car wash. He can either get unlimited car washes for a month for $35 with no additional charges. Or, he can buy a discount package, where he pays $22 for the month plus $1.50 per car wash. He wants to know how many car washes he would need to get in order to make the $35 deal a better choice.
y=22x+1.5 Substitute 35 for x: y=22(35)+1.5; y=771.5, which means it would take 772
car washes for the plans to be worth the same amount.
y=1.5x+22 Substitute 35 for y: 35=1.5x+22; y≈8.7, which means at 9 car washes, the unlimited package at $35
would be cheaper.
y=22x+1.5 Substitute 35 for y: 35=22x+1.5; y≈1.5, which means at 2 car washes, the unlimited package at $35
would be cheaper.
y=1.5x+22 Substitute 35 for x: y=1.5(35)+22; x=74.5, which means the discount package is cheaper unless Brian gets 75 car washes.
Answer:
y=1.5x+22 Substitute 35 for x: y=1.5(35)+22; x=74.5, which means the discount package is cheaper unless Brian gets 75 car washes. or d plz make Brainleist.
Step-by-step explanation:
The option that would make the $35 deal a better choice is 75 cars washes.
What makes the $35 deal better?The equation that can be used to determine the required value is:
$22 + $1.50x
Where x represents the number of car washes
Substitute x with 35
$22 + $1.5(35) = 74.5 = 75 cars
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Write an expression to represent: Four more than the product of three and a number x
Answer: 4+3x
Step-by-step explanation:
Fourteen percent of the town's population is over the age of 65. If there are 320 residents over the age of 65, approximately what is the town's population?
Answer:
Approximately the town´s population are 2285 people.
Step-by-step explanation:
1. Lets name the total population of the town as x, so the percentage of the population that is over the age of 65 can be expressed as:
[tex]P_{+65}=0.14x[/tex]
2. As there are 320 residens over the age of 65, means that the fourteen percent of the town´s population is equal to 14%, that is:
[tex]320=0.14x[/tex]
3. Solving for x it can be found the town´s population:
[tex]x=\frac{320}{0.14}[/tex]
[tex]x=2285people[/tex]
Translate the point (1, 3) to the new origin given ( h , k ). Given center ( h , k ) = (5, 4), find point ( x ', y ').
Answer:
(6,7)
Step-by-step explanation:
To translate a point, move each coordinate the specified amount and direction. Since the origin (0,0) moved to (5,4) or 5 right and 4 up, move (1,3) the same amount and direction. 1 moves right to 6. 3 moves up to 7. The new point is (6,7)
Answer:
(-4,-1)
Step-by-step explanation:
(h,k)=(5,4) and (x,y)=(1,3)
x' = x - h = 1 - 5 = - 4
y' = y -k = 3 - 4 = - 1
A recent survey by the cancer society has shown that the probability that someone is a smoker is P(S)=0.19. They have also determined that the probability that someone has lung cancer, given that they are a smoker is P(LC|S)=0.158. What is the probability (rounded to the nearest hundredth) that a random person is a smoker and has lung cancer P(S∩LC) ?
0.35
0.03
0.02
0.83
Answer:
0.03
Step-by-step explanation:
The given question uses the concept of Conditional Probability. The general formula of conditional probability in terms of two events A and B is:
[tex]P(A|B) = \frac{P(A \cap B}{P(B)}[/tex]
In the given case, the two events are:
LC = Event that someone has lung cancer
S = Event that someone is smoker
The formula in terms of these events will be:
[tex]P(LC | S)=\frac{P(S \cap LC)}{P(S)}[/tex]
Using the given values, we can find the probability that a random person is a smoker and has lung cancer P(S∩LC).
[tex]0.158=\frac{P(S \cap LC)}{0.19} \\\\ P(S \cap LC) = 0.158 \times 0.19\\\\ P(S \cap LC) = 0.03[/tex]
Therefore, the probability (rounded to the nearest hundredth) that a random person is a smoker and has lung cancer P(S ∩ LC) is 0.03
Answer:
P (S∩LC) = 0.03
Step-by-step explanation:
It is known that the probability if someone is a smoker is P(S)=0.19 and the probability that someone has lung cancer, given that they are also smoker is P(LC|S)=0.158.
So using the above information, we are to find the probability hat a random person is a smoker and has lung cancer P(S∩LC).
P (LC|S) = P (S∩LC) / P (S)
Substituting the given values to get:
0.158 = P(S∩LC) / 0.19
P (S∩LC) = 0.158 × 0.19 = 0.03
Alexi's restaurant bill is $58, and he wants to leave a 20 percent tip. Which expression represents the total amount that Alexi needs to pay?
Answer:
8.00
Step-by-step explanation:
its all about moving over the decimal
Consider the function below. x -1 0 1 2 f(x) -2 3 8 13 Which of the following functions could be the inverse of function f? A. x 1 0 -1 -2 s(x) -2 3 8 13 B. x -2 3 8 13 q(x) -1 0 1 2 C. x -2 -3 -8 -13 r(x) 1 0 -1 -2 D. x -1 0 1 2 p(x) 2 -3 -8 -13
Answer: B
x q(x)
-2 -1
3 0
8 1
13 2
Step-by-step explanation:
An inverse of a function is a reflection across the y=x line. This results in each (x,y) point becoming (y,x).
x f(x)
-1 -2
0 3
1 8
2 13
So the inverse becomes:
x Inverse
-2 -1
3 0
8 1
13 2
Answer:
The correct option is B.
Step-by-step explanation:
The table of values of a function is given below:
x : -1 0 1 2
f(x) : -2 3 8 13
If a function is defined f:R→R
[tex]f(x)=\{(x,y):x\in R,y\in R\}[/tex]
them the inverse of function is defined as
[tex]f^{-1}(x)=\{(y,x):x\in R,y\in R\}[/tex]
The table of values of inverse function is
x : -2 3 8 13
f⁻¹(x): -1 0 1 2
We can say that q(x) is the inverse function of f(x). Therefore the correct option is B.
Mental break time. What is 1+1?
A) Not this one
B) Still not this one
C) 2
D) You've gone too far, go back to C
C is the correct answer. Appreciate it if you gave me brainliest!
Answer:
C
Step-by-step explanation:
and thank you for this it was funny and a good break from algebra 1! XD
How do i solve for X
2x+4-7x+9x= -2
What is X?
Answer:
x = -3/2 or -1.5
Step-by-step explanation:
You have to get X on one side by itself.
2x + 4 - 7x + 9x = -2
Subtract the 4
2x - 7x + 9x = -6
Combine like terms
-5x + 9x = -6
Combine like terms
4x = -6
Divide by 4
x = -6/4
Simplify
x = -3/2 or -1.5
Given the figure, what is x?
A) 216
B) 144
C) 96
D) 72
D) x = 72
If this helps, please mark brainliest
Answer:
if ur doing usa test prep it’s D) 72
Step-by-step explanation:
Which is the definition of a ray?
A.a part of a line that has one endpoint and extends indefinitely in one direction
B.the set of all points in a plane that are a given distance away from a given point
C.lines that lie in the same plane and do not intersect
D.a part of a line that has two endpoints
The correct answer is (A)!
Please help me with this
Center pole = SQRT(10^2 - 4.8^2)
Center pole = SQRT(100-23.04)
Center pole = SQRT(76.96)
Center pole = 8.8 feet
Which is the equation in the slope-intercept form for the line that passed through (2, 8) And it is perpendicular to 4x + 2y= 6?
Answer: [tex]y=\frac{1}{2}x+7[/tex]
Step-by-step explanation:
The slope-intercept form of the equation of the line is the following:
[tex]y=mx+b[/tex]
Where m is the slope and b the y-intercept.
By definition, when two lines are perpendicular, their slopes are opposite reciprocals.
Then, to find the slope of the equation of the line given, you can solve for y:
[tex]4x+2y=6\\2y=-4x+6\\\\y=-2x+3[/tex]
As you can see, the slope of this line is -2.Then, the slope of the line that is perpendicular to it, must be:
[tex]m=\frac{1}{2}[/tex]
Substitute the slope and the point given, into the equation and solve for b:
[tex]8=\frac{1}{2}(2)+b\\8=1+b\\b=7[/tex]
Therefore, the equation of this line is:
[tex]y=\frac{1}{2}x+7[/tex]
The expression 2x(3x^2+4) can be simplified into which of the following?
a. 6x^3+4
b. 5x^3+6x
c. 6x^2+8x
d. 6x^3+8x
Answer:
[tex]\large\boxed{d.\ 6x^3+8x}[/tex]
Step-by-step explanation:
[tex]2x(3x^2+4)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(2x)(3x^2)+(2x)(4)\\\\=6x^3+8x[/tex]
A Farmer divisids 20acre sections into 1-4 Acer sections into how many sections does the farmer divide her land
Answer:
80 - 1/4 acre sections
Step-by-step explanation:
If the farmer is dividing her land into 1/4 acre sections...
1. there will be 4 sections in one acre (4/4 = 1)
2. multiply 4 (sections) by 20 (acres)
4*20 = 80
Susan Sound predicts that students will learn most effectively with a constant background sound, as opposed to an unpredictable sound or no sound at all. She randomly divides twenty-four students into three groups of eight. All students study a passage of text for 30 minutes. Those in group 1 study with background sound at a constant volume in the background. Those in group 2 study with noise that changes volume periodically. Those in group 3 study with no sound at all. After studying, all students take a 10-point multiple choice test over the material. Their scores follow: Table Constant sound Random Sound No Sound 7 5 2 4 5 4 6 3 7 8 4 1 6 4 2 6 7 1 2 2 5 9 2 5 1. State the type of statistical test that you will use to conduct your hypothesis test.
Answer:
An ANOVA test
Step-by-step explanation:
You will use the ANOVA test, which is a test that compares the means of more than 2 samples. Since the teacher used 3 test groups, she would have to use this test if she wanted to do a hypothesis test to determine if the means are equal.
*This test only tells us if the means are equal, it won't say which is greater than the other. You would have to do 3 individual hypothesis tests comparing 2 means at a time in order to determine that.
An ANOVA (Analysis of Variance) is the appropriate statistical test to use when comparing the test scores of students studying under different sound conditions (constant sound, random sound, and no sound).
The type of statistical test to use for conducting a hypothesis test in this scenario would likely be an ANOVA (Analysis of Variance), which is specifically designed to compare the means of three or more groups. Since we have three independent groups of students (constant sound, random sound, and no sound) and we want to test if there is a significant difference in the test scores that could be attributed to the study condition, ANOVA is the appropriate choice of test.
The information provided about the music and sound conditions suggests that the volume of any background music should be low enough to not disrupt conversation and that it may serve as an auditory memory cue if used consistently. Additionally, the studies mentioned indicate various effects of background music on task performance among students, be it learning a passage, recalling information, or completing reading comprehension tasks. These factors would be considered when interpreting the results of the ANOVA.
The area of Mr.Birardis pool is 63x+81. If the width of his pool is 9,what is the length?
Answer:
The length is 7x+9
Step-by-step explanation:
We know that area equals length times width
A = l*w
63x+81 = l*9
The area is 63x+81 and the width is 9
Divide each side by 9
63x/9 +81/9 = 9l/9
7x +9 = l
The length is 7x+9
Answer:
The length should be 7x+9
Describe, in your own words, the identity sin^2(x) + cos^2(x) = 1.
Look at the attached figure. We define the unit circle as a circle with center [tex]A[/tex] in the origin (0,0) and radius 1.
Then, we consider a point P on the circumference. We call [tex]\alpha[/tex] the angle between the positive half of the x axis and the radius AP.
We define
[tex]\cos(\alpha) = \overline{AD},\quad \sin(\alpha) = \overline{AC}[/tex]
As you can see, ACD is a right triangle, and so we have
[tex]\overline{AD}^2+\overline{AC}^2=\overline{AP}^2[/tex]
But since we know that AD is the cosine, AC is the sine, and AP is the radius (which is 1, and remains 1 when squared), we have just found out that
[tex]\cos(\alpha)^2+\sin(\alpha)^2=1[/tex]
In the United States, it is possible for someone to give a gift up to how much money per year to another person without that money being taxed?
Answer:
I believe the correct answer is $10,000. I'm not positive, though.
Answer:
For years 2018 and 2019 the exclusion amount is $15000.
Step-by-step explanation:
In the United States, it is possible that you can give any individual a gift up to $15000 as per year 2018 and 2019, without having to file a gift tax return to report that gift.
Hence, for the years 2018 and 2019, the annual exclusion amount is $15,000.
Y = 5x – 1 –15x – 3y = 3 How many solutions does this linear system have? one solution: (0, –1) one solution: (1, 4) no solution infinite number of solutions
Answer:
one solution: (0, –1)
Step-by-step explanation:
we have
[tex]y=5x-1[/tex] ----> equation A
[tex]-15x-3y=3[/tex] ----> equation B
isolate the variable y in the equation B
[tex]3y=-15x-3[/tex]
[tex]y=-5x-1[/tex] ----> equation C
Compare equation A and equation C
The equations are different
The slopes are different ( are not parallel lines)
therefore
The system has one solution
Solve the system
equate the equation A and equation C and solve for x
[tex]5x-1=-5x-1[/tex]
[tex]5x+5x=-1+1[/tex]
[tex]x=0[/tex]
Find the value of y
[tex]y=5(0)-1=-1[/tex]
The solution is the point (0,-1)
Two lengths of a triangle measure 6 feet and 10 feet what can the length of the third side
Answer:it could possibly equal 2[tex]\sqrt{x}[/tex]34 or 8Step-by-step explanation: by the pythagorean thoerm 6[tex]x^{2}[/tex]+10[tex]x^{2}[/tex] = 2[tex]\sqrt{x}[tex]34 or 6[tex]\sqrt{x}[/tex] +b[tex]x^{2}[/tex]=10[tex]x^{2}[/tex]
Final answer:
The length of the third side of the triangle is approximately 11.66 feet.
Explanation:
To find the length of the third side of a triangle, we can use the Pythagorean theorem. According to the theorem, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the lengths of the two sides given are 6 feet and 10 feet. So, we can calculate the length of the third side as follows:
a² + b² = c²
6² + 10² = c²
36 + 100 = c²
136 = c²
c = √136
c ≈ 11.66 feet
If a fair die is tossed, find the probability that the uppermost face displays a(n):
if a fair dice is tossed the probability is (T, H) (H, T) ( T, T) (H, H)
A fair, six-sided die has six equally likely outcomes. The probability of any one face showing up when the die is tossed is 1/6 or approximately 0.1667. Probability is a long term expectation under ideal theoretical conditions.
Explanation:The question is asking about the probability of each face showing up when a six-sided die is tossed. A fair, six-sided die has six possible outcomes: the faces are numbered 1, 2, 3, 4, 5, or 6. Each face is equally likely to be the uppermost face when the die is tossed. Therefore, the probability of any one face showing up is 1 out of 6, or approximately 0.1667.
Probability is a theoretical concept that tells us how likely an event is to occur. It does not describe the short-term results of an experiment. Rather, it gives information about what can be expected in the long term. Thus, if you were to toss a fair, six-sided die many times, you would expect that each face would come up about one-sixth of the time. This expectation is based on the assumption of ideal theoretical conditions where the die is fair.
Probability is a key concept in statistics and is used in many different areas of life, including in decision making, prediction, risk management, and games of chance.
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The temperature at 8:00am is 5 degrees Celsius and increases 2 degrees per hour. Does this equal y=2x+5
Answer:
no
got correct on algebra nation
Luke is 5 years younger than 3 times Sydney's age, s. In this situation, what does 3s represent?
in this case, s is 5 years older than luke's age
Answer:
3s represents:
3 times of Sydney's age
Step-by-step explanation:
We are given that:
Luke is 5 years younger than 3 times Sydney's age, s.
i.e. Sydney's age is denoted by s
Then,
3s represents 3 times of Sydney's age
Hence, 3s represents:
3 times of Sydney's age
Which choices correctly describe reflections in the diagram? Check all that apply.
1)The red triangle A is reflected across the x-axis onto triangle B.
2)The red triangle A is reflected across the y-axis onto triangle D.
3)The blue triangle D is reflected across the x-axis onto triangle C.
4)The blue triangle D is reflected across the line y = x onto triangle B.
5)The green triangle C is reflected across the line y = –x onto triangle A.
Answer:
2
3
5
.................................................
Answer:
2, 3, 4.
I don't have an explanation I just did the test.
Bart works 36 hr a week and makes $612.Charles worked 34hr a week and makes$663.Who makes more per he how do you know
Answer:
Charles
Step-by-step explanation:
Bart worked for 36 hours, and earned $612.
$612 / 36 = $17 is what he earned per hour
Charles worked for 34 hours, and earned $663.
$663 / 34 = $19.5 is what he earned per hour
You don't even need to solve for anything actually. Just looking at the given values, you will see that Charles earned more money despite working less hours compared to Bart.
Charles rolled a ball across the floor and noticed that it stopped before reaching the other side of the room. A force applied to the ball in the opposite direction in which it was rolling caused this to happen. What is the name of this force? A. Friction B. Gravity C. Electricity D. Magnetism
Answer:
Friction
Step-by-step explanation:
Because friction between the floor and the ball made the ball stopped from rolling.
Answer:
Friction
Step-by-step explanation:
The force that acts in opposite direction to the motion of the ball thereby causing it to stop is the force of friction.
This frictional force is a force of opposition that causes bodies moving in a particular direction to come to an halt. The force always acts in the opposite direction to the moving force acting on a body.
I NEED HELP WITH A QUICK QUESTION! 30 POINTS!
For the circle with equation (x - 2)² + (y+3)² = 9 , answer each question.
(a) What are the coordinates of the center?
(b) What are the radius and diameter of the circle?
(c) Graph the circle.
Answer:
The center is (2 ,-3)
The radius is 3
The diameter is twice the radius = 2(3) = 6
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 + (y-k)^2 =r^2
where (h,k) is the center and r is the radius
(x - 2)² + (y+3)² = 9
(x - 2)² + (y- -3)² = 3^2
The center is (2 ,-3)
The radius is 3
The diameter is twice the radius = 2(3) = 6
The center of the circle is at (2, -3), the radius is 3 units, and the diameter is 6 units. To graph the circle, plot the center point (2, -3) and draw a circle with a radius of 3 units around it.
Explanation:(a) The coordinates of the center of the circle are (2, -3). The equation of the circle is in the form (x - h)² + (y - k)² = r², where (h, k) are the coordinates of the center and r is the radius. In this case, (h, k) = (2, -3).
(b) The radius of the circle is 3 units. The diameter is twice the radius, so the diameter of the circle is 6 units.
(c) To graph the circle, plot the center point (2, -3) and draw a circle with a radius of 3 units around it.
Evaluate arccsc sqrt 2.
Answer:
{π/4 +2πn, 3π/4 +2πn}
Step-by-step explanation:
csc = 1/sin, so when csc(θ) = √2, sin(θ) = 1/√2. Then θ = π/4 or 3π/4.
This means arccsc(√2) will be the set of angles shown above.
___
Once you recognize that π/4 is one of the angles, you can eliminate all but the correct answer choice.
Of course this is much easier if you have memorized the short list of trig function values:
sin(π/6) = cos(π/3) = 1/2
sin(π/4) = cos(π/4) = 1/√2 = (√2)/2
sin(π/3) = cos(π/6) = (√3)/2
tan = sin/cos
sec = 1/cos
csc = 1/sin
Answer:
the above answer is correct