To divide a circle exactly in half along its diameter, draw three lines: one vertical line passing through the center, and two diagonal lines intersecting at the center.
To divide a circle in half along its diameter, we need to create a line that passes through the center of the circle. This line will split the circle into two equal halves. One way to achieve this is by drawing a vertical line that starts at the top of the circle and ends at the bottom, passing through the center.
Next, we can create two additional lines to further divide the circle into halves. These lines will be diagonal and will intersect at the center of the circle. By positioning the diagonals symmetrically, we ensure that they divide the circle equally, creating two halves that are mirror images of each other.
By drawing these three lines - one vertical and two diagonal - we can accurately divide a circle in half along its diameter. This method ensures that both halves are precisely equal in size and maintains the symmetry of the circle.
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The formula for __________________________ is x = t e or raw score (x) equals the true score (t) plus error (e).
The formula for Observed Score is; Observed score (X) = True score (T) + measurement error (e)
What is the observed score formula?The formula for Observed Score is;
Observed score (X) = True score (T) + measurement error (e)
1) True score is the score that would be obtained if an individual took a test an infinite amount of times and those test scores were averaged. The concept of true score is theoretical because you can't give someone something an infinite number of times.
2) Standard error of measurement is the standard deviation of multiple test scores (how far the sample mean of the data is likely to be from the true population mean).
The less random error (e) in the measure, the more the observed score X approximates the true score T.
Thus;
Observed score = True Score + Error
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[33] the score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. if a player answered 40 questions and obtained a score of 50, how many questions did the player answer correctly?
We know that the score is obtained by subtracting the number of incorrect answers from twice the number of correct answers. Let's use "x" to represent the number of correct answers.
According to the question, the player answered 40 questions in total. This means that the number of incorrect answers is 40 - x.
Now we can use the formula for the score:
Score = 2x - (40 - x)
We also know that the player obtained a score of 50. So we can set up the equation:
50 = 2x - (40 - x)
Simplifying the equation:
50 = 3x - 40
90 = 3x
x = 30
Therefore, the player answered 30 questions correctly.
To check, we can plug this value back into the formula for the score:
Score = 2x - (40 - x)
Score = 2(30) - (40 - 30)
Score = 60 - 10
Score = 50
So the score of 50 is correct and the player answered 30 questions correctly.
To find out how many questions the player answered correctly in the trivia game with a score of 50, we can use the given information to set up an equation:
Let x be the number of correct answers and y be the number of incorrect answers. According to the question, the score is calculated by subtracting the number of incorrect answers (y) from twice the number of correct answers (2x). The player answered 40 questions in total, so we have:
x + y = 40
2x - y = 50
Now we can solve this system of equations step-by-step:
1. Solve the first equation for x:
x = 40 - y
2. Substitute this expression for x in the second equation:
2(40 - y) - y = 50
3. Simplify the equation:
80 - 2y - y = 50
4. Combine like terms:
80 - 3y = 50
5. Subtract 80 from both sides:
-3y = -30
6. Divide both sides by -3:
y = 10
7. Substitute the value of y back into the expression for x:
x = 40 - 10
x = 30
The player answered 30 questions correctly in the trivia game with a score of 50.
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Penelope is taking a multiple choice test with a total of 40 points available. Each question is worth exactly 5 points. What would be Penelope's test score (out of 40) if she got 3 questions wrong? What would be her score if she got xx questions wrong?
Answer:
25
Step-by-step explanation:
. One day the U.S. dollar was worth approximately 100 yen. An exchange of 2500 yen
was made that day. What was the value of the exchange in dollars?
Answer: $25
Step-by-step explanation:
2500/100 = 25
About how many cells are in the human body?
You can assume that a cell is a sphere with radius 10-3 cm and that the density of a cell is approximately the density of water which is 1g/cm3.
please explain
I think its 30 trillion cells
hope it helps
HELP ASAP WILL MARK BRAINLIEST
Answer:
a is 44
b is 8.8
c is 33
Step-by-step explanation:
giv me brainliest plz
The equation for (5,-4)
If you are asking for an equation for a line that passes through 5,-4:
y + 4 = x - 5
y = x - 9
11.(02.03)
The table shows the solution to the equation |2x - 31 - 1 = 2:
Step 1 |2x - 3) = 2 + 1
Step 2 12x - 3| = 3
Step 3 2x - 3 = 3 or 2x + 3 = 3
Step 4 2x = 6 or 2x = 0
Step 5 x = 3 or x = 0
Which is the first incorrect step? (1 point)
O Step 1
O Step 3
Step 5
O Solution is correct
Answer:
step number 1 is incorrect.
Step-by-step explanation:
Here is the solution of this equation [2x-31-1=2].
2x-31-1=2
or 2x-31=2+1
or 2x=2+1+31
or 2x= 34
or x=34/2
or x= 17
the answer of this equation is X=17.
Answer:
Step 1
Step-by-step explanation:
A)There are twice as many students in the math club as in the telescope club. Suppose there are $x$ students in the telescope club and $y$ students who are members of both clubs. Find an expression for the total number of students who are in the math club or the telescope club (or both). Give your answer in simplest form.
b)There are twice as many students in the math club as in the telescope club. Suppose there are students in the telescope club and students who are members of both clubs. Find an expression for the total number of students who are in the math club or the telescope club but not both. Give your answer in simplest form.
The number of students in the telescope club by $x$ and the number of students in the math club by $y$.
$y=2x$Now, suppose there are $z$ students who are members of both clubs. Then the total number of students who are in the math club or the telescope club (or both) is given by:$x + y - z$ Substituting $y=2x$ in the above expression, we get:$x + 2x - z=3x - z$ Hence, the expression for the total number of students who are in the math club or the telescope club (or both) is $3x - z$.b)The number of students who are in the math club but not in the telescope club is given by:$y-z$ And the number of students who are in the telescope club but not in the math club is given by:$x-z$ Adding these two expressions, we get the total number of students who are in the math club or the telescope club but not both:$ y-z+x-z $.
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What angle in degrees does the guy wire make with the ground?
Answer:
45? I'm not 1000% sure tog
Step-by-step explanation:
likes hamburgers does not like hamburgers total
likes burritos 38 77
does not like burritos 95 128
total 134 71
part a: what percentage of the survey respondents do not like both hamburgers and burritos? (2 points)
part b: what is the marginal relative frequency of all customers that like hamburgers? (3 points)
part c: use the conditional relative frequencies to determine which data point has strongest association of its two factors. use complete sentences to explain your answer. (5 points)
The percentage of responders that don't enjoy both hamburgers and burritos 16.09%
What is the percentage?
A percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one-hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. A portion per hundred is what the percentage denotes. The percentage refers to one in a hundred. The % sign is used to denote it.
Burgers are enjoyed by a total of 134 consumers, but only 71 do not; therefore, 205 customers responded.
Part A: The percentage of responders that don't enjoy both hamburgers and burritos
There are 33 of these respondents.
Hence, The percentage will be 33/205 = 16.09%
Part B: The marginal relative frequency of all consumers who enjoy hamburgers is presented in
The ratio of the total number of respondents to the number of consumers who prefer hamburgers will determine this.
The ratio will be 134/205 = 0.65
Part C: The information point with the strongest correlation between its two components.
The ratio of each of the four data points to the sum must be determined for this.
For those who like Hamburgers but not burritos is 95/ 134 = 0.71
Those who do not like burritos or Hamburgers is 33/71 = 0.47
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Sketch the curve represented by the parametric equations (indicate the Orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter.
x= |+ + 1 x = 7 +1
The curve represented by the parametric equations x = t^2 + 1 and y = 7t + 1 is sketched, indicating the orientation of the curve. The corresponding rectangular equation is obtained by eliminating the parameter t, resulting in the equation y = 7√(x - 1) + 1.
To sketch the curve represented by the parametric equations x = t^2 + 1 and y = 7t + 1, we can analyze the behavior of x and y as t varies. Since x = t^2 + 1, we can see that x increases as t increases. This indicates that the curve moves in the positive x-direction. Similarly, since y = 7t + 1, we observe that y also increases as t increases. Therefore, the curve moves upward in the positive y-direction.
To obtain the corresponding rectangular equation, we can eliminate the parameter t by solving one of the equations for t and substituting it into the other equation. From the equation y = 7t + 1, we can solve for t as t = (y - 1)/7. Substituting this value of t into x = t^2 + 1, we get x = ((y - 1)/7)^2 + 1. Simplifying further, we have x = (y - 1)^2/49 + 1. Rearranging this equation, we obtain (y - 1)^2 = 49(x - 1). Taking the square root of both sides, we get y - 1 = 7√(x - 1). Finally, rearranging this equation, we arrive at the rectangular equation y = 7√(x - 1) + 1.
In conclusion, the curve represented by the parametric equations x = t^2 + 1 and y = 7t + 1 moves in the positive x-direction and upward in the positive y-direction. The corresponding rectangular equation is y = 7√(x - 1) + 1, which describes the relationship between x and y on the curve.
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what is the equation for the line that is perpendicular to the x-axis and passes through the point (4, -7)?
Step-by-step explanation:
perpendicular means to cross at a right angle (90 degrees).
so, any line perpendicular to the x-axis is parallel to the y-axis.
and any line parallel to the y-axis has only a defining x value. all points on that line have the same x value (while any value for y from -infinity to +infinity is valid).
the y-axis itself is
x = 0
the specified point here has an x value of 4.
so, the line we are looking for is
x = 4
to point out : this is NOT a function, because for the same x value we get more than 1 valid y values.
PLEASE HELP ME WITH THIS ILL BRAINLIEST YOU
a woman is three times as old as her daughter six years ago the sum of their ages was 36 find the age of the daughter
Answer:
12 hope this helps
Step-by-step explanation:
F(x)=x^2+12x+35 and g(x)=x+7 find (f•g)(x)
Step-by-step explanation:
I assume this means multiplication of functions, and not "f of g of x".
when applying a basic mathematical operation on functions, we are doing this with their expressions.
(f×g)(x) = (x² + 12x + 35) × (x + 7) =
= x³ + 7x² + 12x² + 84x + 35x + 245 =
= x³ + 19x² + 119x + 245
1 1/4 multiplied by -5 1/2
Answer:
-55/8
Hope this helps! :)
Consider a situation where Ron (R) and Nancy (N) have demands for a private good that can be represented by the following functions: D_R: Q_
−
= 8-2P_R D_N: Q_N = 7- P_N If Ron and Nancy are the only two consumers of this private good and the supply function for the good is: S:Q=−1+P What is the aggregate quantity of the good they buy?
The aggregate quantity of the good that Ron and Nancy buy is 6 units.
To find the aggregate quantity, we need to determine the equilibrium quantity where the demand and supply functions intersect. The demand functions for Ron and Nancy are given as \(D_{R}\): \(Q_{R}\)= 8 - 2\(P_{R}\) and \(D_{N}\): \(Q_{N\) = 7 - \(P_{N}\), respectively. The supply function is S: Q = -1 + P.
To find the equilibrium quantity, we set the quantity demanded equal to the quantity supplied:
\(Q_{R}\) + \(Q_{N\) = Q
Substituting the demand and supply functions, we have:
(8 - 2\(P_{R}\) ) + (7 - \(P_{N}\)) = -1 + P
Simplifying the equation, we get:
15 - 2\(P_{R}\) - \(P_{N}\) = -1 + P
Rearranging the equation, we have:
\(P_{R}\) + \(P_{N}\) + P = 16
Since the total price is equal to 16, we know that the aggregate quantity is equal to the sum of the quantities demanded:
Q = \(Q_{R}\) + \(Q_{N\) = (8 - 2\(P_{R}\) ) + (7 - \(P_{N}\)) = 15 - 2\(P_{R}\) - \(P_{N}\)
Substituting the values of \(P_{R}\) = \(P_{N}\) = 5 into the equation, we find:
Q = 15 - 2(5) - 5 = 6
Therefore, the aggregate quantity of the good that Ron and Nancy buy is 6 units.
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from largest to smallest, the correct order is:group of answer choicessample, sampling frame, population.
Population - - > Sampling Frame - - > Sample - - > Individual being surveyed is the order from largest to smallest.
The population is the largest as they include all units or subject of interest in a particular study or experiment.
Next is the sampling frame which is the list or compilation of all subjects which can form part of a sample. It is a compilation of all elements in the population from which the sample can be drawn.
The sample is a subset of the population of population, usually selected at random and it is representative of the population.
The individual surveyed represents a single subject or observation from the chosen sample.
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The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a dinner conversation with a sound intensity of 10–7?
Answer:
The loudness of the dinner conversation is 40 dB
Step-by-step explanation:
Loudness in dB = 10\(Log_{10}\) \((\frac{I}{I_{o} })\)
where \(I_{0}\) is the least intense sound a human can hear = \(10^{-12}\) W/m^2
For a dinner conversation with sound intensity of \(I\) = \(10^{-7}\) W/m^2
Loudness = 10\(Log_{10}\) \((\frac{10^{-7} }{10^{-12} })\) = 10\(Log_{10}\) \(( 10^{4} )\) = 40 dB
Answer:
50 Db
Step-by-step explanation:
please help!!!!!!!!!!
Step-by-step explanation:
I donot know it hard for me
Answer:
10-2 is 8 and keep the five drag the eight as the exponent and thats how you get your answer
Step-by-step explanation:
brainliest please
In a direct variation, y = 12 when x = 6. Write a direct variation equation that shows the relationship between x and y.
Answer:
y=2x
Step-by-step explanation:
Y=kx
12=k6
12 divided by 6 to get 2
and 2=k
HELP ME WITH THESE THANKS :)!
Answer:
50; 72; 8; 57.9
Step-by-step explanation:
1. sqrt((30/2)^2 + (20)^2) = sqrt(15^2 + 20^2) = sqrt(225 + 400) = sqrt(625) = 25 (radius) * 2 = 50 (diameter)
2. 360 (degrees in a circle)/5 (sides in a pentagon) = 72 degrees
3. 360 (degrees in a circle)/x (sides) = 45 --> 360/45 = x --> 8 sides = x
4. sqrt(7^2 + (12/2)^2) = radius --> sqrt(49 + 36) --> sqrt85 * 2pi = circumference --> 57.9281062 = circumference --> 57.9
to create a parallelogram, just think of 2 different pairs of parallel lines __________________.
To create a parallelogram, just think of 2 different pairs of parallel lines that never intersect.
What is the key concept for creating a parallelogram involving pairs of parallel lines?A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. To create a parallelogram, we need to visualize two different pairs of lines that never intersect. The pairs of lines must be parallel to each other, meaning they have the same slope and will never converge or cross each other. By ensuring that these pairs of lines remain parallel, we can form a quadrilateral with opposite sides that are parallel and equal in length, defining a parallelogram.
Understanding the concept of parallel lines is fundamental for constructing a parallelogram. This knowledge enables us to identify and visualize the appropriate lines that can form a parallelogram. By ensuring the parallelism of these lines, we guarantee the creation of a quadrilateral with specific geometric properties.
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Jacobs pizza parlor sells pizza for $10 each, with a $20 delivery fee. Ashley's pizza parlor has a $12 delivery fee and sells pizza for $12 dollars each. At what point do the pizza parlors cost the same to deliver pizza?
Answer:
The pizza parlors cost the same when delivering 4 pizzas.
Step-by-step explanation:
For each store, the total price is
cost of pizzas + cost of delivery
The cost of delivery is just a fixed number for each store, $20 or $12.
The cost of the pizzas is the price of a pizza multiplied by the number of pizzas.
Let x = number of pizzas
The cost of the pizzas is
Jacob's: 10x
Ashley's: 12x
Jacob's total cost (pizzas + delivery):
10x + 20
Ashley's total cost (pizzas + delivery):
12x + 12
We want the total costs to be the same, so we set our two total cost expressions equal and solve for x.
12x + 12 = 10x + 20
Subtract 10 from both sides.
2x + 12 = 20
Subtract 12 from both sides.
2x = 8
Divide both sides by 2.
x = 4
Answer: The pizza parlors cost the same when delivering 4 pizzas.
Find the period and the amplitude of the periodic function. I'm awful with graphs :(
A period is the difference in x over which a sine function returns to its equivalent state and the amplitude is A/5.
Amplitude:
The amplitude of a periodic variable is a measure of its change over a period of time, such as a temporal or spatial period. The amplitude of an aperiodic signal is its magnitude compared to a reference value. There are various definitions (see below) of amplitude, which is any function of the magnitude of the difference between the extreme values of a variable. In the previous text, the phase of a periodic function is called the amplitude.
X = A sin (ω[ t - K]) + b
A is the amplitude (or peak amplitude),
x is the oscillating variable,
ω is angular frequency,
t is time,
K and b are arbitrary constants representing time and displacement respectively.
According to the Question:
An equation does not have an amplitude. This "equation" represents the formula of a vibration, and was better written as:
X= A/5* sin(1000.t + 120)
These oscillations have a certain amplitude. X values can vary from minimum to maximum. Normally, the stop position of the oscillation is X=0. In this case, we can see that the maximum occurs when the sine is +1 and the minimum occurs when the sine is -1.
For theses cases X= A/5 respectively -A/5.
Therefore,
The amplitude is A/5.
For formulas of this type, the term in front of the sinus (or cosine) is equal to the amplitude.
Complete question:
Can I find the amplitude of this equation? A/5 *
Read the problem. Write your answer for each part.
3. The table shows how the length of Alex's pet lizard is changing
over time.
Write an equation using x and y to find the length of the lizard
based on its age.
Equation y=2.4x+2.6 is used to find the length of the age based on its ages
We have to find the equation of the length of Alex's pet lizard is changing
over time.
Slope = 9.8-7.4/3-2
=2.4
Now let us find the y intercept
5=2.4(1)+b
5-2.4=b
2.6=b
Hence, equation y=2.4x+2.6 is used to find the length of the age based on its ages
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i will give many points and brainlest if you find the area of the polygon
Answer:
28
Step-by-step explanation:
You can split the figure up
3*4/2 = 6
3*4/2 = 6
8*2 = 16
6+6+16 = 28
a bag contains $3$ red balls, $4$ green balls, and $5$ yellow balls. if balls are drawn one at a time without replacement, what is the probability that the first yellow ball is drawn on the eighth draw? express your answer as a common fraction.
The probability that the first yellow ball is drawn on the eighth draw is 1/792.
Total number of balls in the bag = 3 (red) + 4 (green) + 5 (yellow) = 12
First, let's calculate the probability of not drawing a yellow ball in the first seven draws
In the first draw, the probability of not drawing a yellow ball is
(12 - 5) / 12 = 7/12.
In the second draw, the probability of not drawing a yellow ball is
(12 - 5 - 1) / (12 - 1) = 6/11.
Similarly, in the third, fourth, fifth, sixth, and seventh draws, the probabilities of not drawing a yellow ball are (5/10), (4/9), (3/8), (2/7), and (1/6), respectively.
Now, let's calculate the probability of drawing a yellow ball on the eighth draw
In the eighth draw, the probability of drawing a yellow ball is
5/5 = 1/1.
To find the overall probability, we multiply the probabilities of each draw:
P(not yellow in the first seven draws) × P(yellow on the eighth draw) = (7/12) × (6/11) ×(5/10) × (4/9) × (3/8) × (2/7) × (1/6) × (1/1)
= 7! / (12! × 6!) × 5 × 4 × 3 × 2 × 1 × 1
= 7! / (12! × 6!) × 120
= 120 / 95,040
= 1 / 792.
Therefore, the probability that the first yellow ball is drawn on the eighth draw is 1/792.
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Use these functions to answer this question.
P(x) = x2
– x – 6
Q(x) = x – 3
What is P(x) – Q(x)?
A. x2
– 3
B. x2
– 9
C. x2
– 2x – 3
D. x2
– 2x – 9
no linkss,,,,
Given:
The two functions are:
\(P(x)=x^2-x-6\)
\(Q(x)=x-3\)
To find:
The function \(P(x)-Q(x)\).
Solution:
We need to find the function \(P(x)-Q(x)\).
\(P(x)-Q(x)=(x^2-x-6)-(x-3)\)
\(P(x)-Q(x)=x^2-x-6-x+3\)
\(P(x)-Q(x)=x^2+(-x-x)+(-6+3)\)
\(P(x)-Q(x)=x^2-2x-3\)
Therefore, the correct option is C.