The coordinate that is equal to \(sin(\frac{\pi}{2})\) is the y-coordinate of point aaa, which corresponds to choice (b) yyy-coordinate of point aaa.
On the unit circle, the x-coordinate represents the cosine value and the y-coordinate represents the sine value of the angle formed with the positive x-axis. Since the point aaa lies on the unit circle, its x-coordinate represents the cosine value of the angle, and its y-coordinate represents the sine value of the angle.
The angle \frac{\pi}{2} on the unit circle corresponds to a quarter of a full revolution, or 90 degrees. At this angle, the cosine value is 0 and the sine value is 1. Therefore, \(sin(\frac{\pi}{2})\) equals 1.
To determine which coordinate represents this value, we need to examine the choices given. Choice (b) corresponds to the y-coordinate of point aaa, and since the y-coordinate represents the sine value, it is the coordinate we are looking for. Therefore, the answer is choice (b) yyy-coordinate of point aaa.
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Which equation represents a line that passes through (2, –left-parenthesis 2, negative StartFraction one-half EndFraction right-parenthesis.) and has a slope of 3?
Answer:
I'm not sure what your choices are or if you have any choices. Try y+ 1/2 = 3(x-2)
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
on edg2021
Can I get help with this?
Answer:
F'(-3,2)
G'(-1,0)
H'(-2,5)
order these fractions from least to greatest 5 1/11, 5.576, 5.57, 101/20
Answer: 101/20, 5 1/11, 5.57, 5.576
Step-by-step explanation:
I hope this is correct :D
What is the image of (- 10, - 6) after a dilation by a scale factor of centered at the 1/2 origin?
Answer:(-5,3)
Step-by-step explanation:
Answer:
the answer is (5,3)
Step-by-step explanation:
because I did this question already
The coordinates of the vertices of triangle ABC are A(3, 6), B(6, 3), and C(9, 9). If triangle ABC is dilated by (x,y) (x,y) → ( 1 3 x, 1 3 y) (13x, 13y) to create triangle A’B’C’, which set of coordinates represents the vertices of triangle A’B’C’?
Answer:
d on edginuity
Step-by-step explanation:
i know for a fun fact
A building is constructed using bricks that can be modeled as right rectangular prisms with a dimension of 8/ in by 3 in by 3 in. If the bricks cost $0.07 per cubic inch, find the cost of 300 bricks. Round your answer to the nearest cent.
The cost of 300 bricks is equal to $1,512.
How to calculate the volume of a rectangular prism?In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:
Volume of a rectangular prism = L × W × H
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have;
Volume of bricks = 8 × 3 × 3
Volume of bricks = 72 cubic inches.
For the cost per cubic inch, we have:
Cost per cubic inch = 72 × 0.07
Cost per cubic inch = $5.04
For the cost of 300 bricks, we have:
Cost of 300 bricks = 300 × $5.04
Cost of 300 bricks = $1,512
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Beginning on January 1, park rangers in Everglades National Park began recording the water level for one particularly dry area of the park. The water level was initially 2. 5 ft and decreased by approximately 0. 015 f(t)/(d)ay
a. The equation representing the water level L(x) (in ft), x days after January 1 is L(x) = 2.5 - 0.015x.
b. The inverse function for \(L^{-1}\) (x) is x = (2.5 - L)/0.015.
a. The function representing the water level L(x) (in ft), x days after January 1 can be written as:
L(x) = 2.5 - 0.015x
where x is the number of days after January 1.
b. To write an equation for \(L^{-1}\)(x), we need to find an expression for x in terms of L.
L(x) = 2.5 - 0.015x
0.015x = 2.5 - L
x = (2.5 - L)/0.015
Therefore, the equation for \(L^{-1}\)(x) is:
\(L^{-1}\)(x) = (2.5 - x)/0.015
This equation gives the number of days (x) required for the water level to reach a certain level (L).
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The question is -
Beginning on January 1, park rangers in Everglades National Park began recording the water level for one particularly dry area of the park. The water level was initially 2.5 ft and decreased by approximately 0.015 ft/day.
a. Write a function representing the water level L(x) (in ft), x days after January 1.
b. Write an equation for L^{-1} (x).
Which expression is equivalent to −2(5x + 3y)?
3y(5x − 2)
5x(−2 + 3y)
−10x − 6y
−10x + 3y
Answer:
−10x − 6y
Step-by-step explanation:
−2(5x+3y)
=(−2)(5x+3y)
=(−2)(5x)+(−2)(3y)
=−10x−6y
A recipe calls for 1/2 cups of sugar and 1 1/2 cups of flour. Which of the is correct comparison of sugar and flour in this recipe
HELP PLEASE
if a function representing distance (feet) as a function of time (minutes), what does f(30) represent in terms of the situation?
We know
In a function
y=f(x)x represents the input and y represents output
So
f(30)x is time
So
f(30) represents distance traveled in 30mins
An object traveled a total of 21 1/2 miles in five hours. If it traveled an equal number of miles each hour, how many miles did it travel each hour?
Answer: 4.3 miles
The decimal 4.3 is equivalent to the mixed number 4 & 3/10
=============================================================
Explanation:
Fractions are often a pain, so I find it helpful to convert to decimal form whenever possible.
1/2 = 0.5
21 & 1/2 = 21 + 1/2 = 21 + 0.5 = 21.5
21 & 1/2 miles = 21.5 miles
The object travels 21.5 miles in 5 hours. Divide the distance over the time value to get the speed (or rate). This is exactly identical to finding the number of miles traveled in one hour (since each hour the object travels the same amount of distance)
speed = distance/time = 21.5/5 = 4.3 mph
4.3 = 4 + 0.3 = 4 + 3/10 = 4 & 3/10
In my opinion, it is much easier to use decimals. Saying "the object traveled a distance of 4 & 3/10 miles" seems very clunky to me.
Therefore, each hour, the object travels 4.3 miles.
what is the square root of 25??
Answer:
The square root of 25 is 5 because 5 times 5 is 25
Step-by-step explanation:
GO
Quiz Active
Choose the function that represents the data in the table.
X
0
1
f(x)
-3
O f(x) = ²/-3
m
f(x)=2x-3
f(x) = x² - 3
f(x) = 2x²-3
2
1
33
45
5
5
7
TIME REMAINI
59:45
Required function is f(x) = 2x-3.
What is function?
In mathematics, a function is a rule or a set of rules that assigns a unique output value to each input value. In other words, it is a way of relating one quantity to another. Functions are used in a variety of fields, such as engineering, physics, economics, and computer science, to describe relationships between variables.
An example of a function is the quadratic function f(x) = x² + 2x + 1. This function takes an input value x and produces an output value that is the result of squaring x, multiplying it by 2, and adding 1. For instance, if we substitute x = 3 in the function, we get:
f(3) = 3² + 2(3) + 1 = 9 + 6 + 1 = 16
To determine which function represents the data in the table, we need to substitute the given values of x into each function and compare the results with the corresponding values of f(x) given in the table.
If we use the function f(x) = 2x-3, we get:
f(0) = -3
f(1) = -1
f(2) = 1
f(3) = 3
f(4) = 5
f(5) = 7
We can see that these values match with the values given in the table, so the function that represents the data in the table is:
f(x) = 2x-3.
Therefore, we can conclude that the function f(x) = 2x-3 represents the data in the table.
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IL GOVE BRAINLIEST AND LOTS OF POINTS
Write the equation of the line, in slope-intercept form, with the
following information:
Slope: 2/3
Y intercept: (0,1)
Step-by-step explanation:
y - y1 = m(x - x1)
y - 1 = 2/3(x - 0)
y = 2x/3 + 1
Equation → y = 2x/3 + 1
Write the equation in slope-intercept form of the line that passes through (6, -11) and is parrallel to the graph
On solving the provided question we can say that the equation of the line will be y+11 = 0.
How do you define a slope?The slope of a line is how steeply it slopes from left to right. The slope of a line is determined by dividing its rise (vertical change) by its slope, which is its horizontal change. Regardless of whatever two locations on the line you pick, the slope of the line is always constant (it never changes).
How do you find slope?To find the coordinates of two points on the line, choose two. Find the difference between these two locations' y-coordinates (gradients). Find the difference between these two places' x coordinates (runs). Divide the change in the y coordinate by the difference in the x coordinate (slope/history or slope).
Here,
slope, m= 0 as these are parallel line.
so the equation of the line will be
y-y1 = m(x-x1)
y+11 = 0
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Is 0.400 percent chance good or bad ?
Answer: It is kind of bad, because it is below 50%. It is 40%. It is less than a 1/2 chance. It is a 4/10 chance.
Step-by-step explanation:
PLEASE HELP ME!!
____________________________________________________
Government agencies keep data about the income distribution of the population. The Aoki family and Alexander family live in a country with 11,000 families. The Aoki family's income is at the 56th percentile. The Alexander family's income is at the 78th percentile.
See image down below for the 2 questions and answer choices.
Pleeeaaase help mee soooon!!! Thank you!!!!!!!!!
Answer:
earns 56% of families in country
Answer:
(a) Both the Aoki family and the Alexander Family earn more than the median income(b) The Aoki family earns about 56% of the highest income in the countryStep-by-step explanation:
56th percentile and 78th percentile are both above the 50%
For the first question the answer is B, both the families earn more than half of the population.
For the second question the answer is C, the Aoki family is at 56th percentile, which means its position is top 56%, not more or less
Assume that police estimate that 23% of drivers do not wear their seatbelts. They set up a safety roadblock, stopping cars to check for seatbelt use. They stop 20 cars during the first hour a. Find the mean, variance, and standard deviation of the number of drivers expected not to be wearing seatbelts. Use the fact that the mean of a geometric distribution is pi = 1/p and the variance is ohm^2 = p/q^2? b. How many cars do they expect to stop before finding a driver whose seatbelt is not buckled?
The mean of the number of drivers expected not to be wearing seatbelts is approximately 4.35, the variance is approximately 15.62, and the standard deviation is approximately 3.95 and they expect to stop approximately 4.35 cars before finding a driver whose seatbelt is not buckled.
a. To find the mean, variance, and standard deviation of the number of drivers expected not to be wearing seatbelts, we can model the situation using a geometric distribution.
Let's define a random variable X that represents the number of cars stopped until the first driver without a seatbelt is found. The probability of a driver not wearing a seatbelt is given as p = 0.23.
The mean (μ) of a geometric distribution is given by μ = 1/p.
μ = 1/0.23 ≈ 4.35
The variance (σ^2) of a geometric distribution is given by σ^2 = q/p^2, where q = 1 - p.
σ^2 = (0.77)/(0.23^2) ≈ 15.62
The standard deviation (σ) is the square root of the variance.
σ = √(15.62) ≈ 3.95
b. The expected number of cars they expect to stop before finding a driver whose seatbelt is not buckled is equal to the reciprocal of the probability of success (finding a driver without a seatbelt) in one trial. In this case, the probability of success is p = 0.23.
Expected number of cars = 1/p = 1/0.23 ≈ 4.35
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Question in picture please help
Twelve less than the product of three and a number is less than 21
Answer:
11
Step-by-step explanation:
3 times 11 gives you 33 which would be the product
3 x 11 = 33
subtract the 12(twelve) from the 33(product)
33 - 12 = 21
shaquille pays $7.50 of his monthly life insurence premium, and his employer covers the rest. if his plan costs $29.75, what is the annual value to the banafit
Answer: his emloyer covers $22.25
Step-by-step explanation:
14. Find b: (a+b)m/c -K= p/r
15. Find x: r=m(1/x+c + 3/y)
16. Find t: a/c+x= M(1/R+1/T)
17. Find y: a/k+c= M(x/y+d)
The value of b in the equation (a+b)m/c - K = p/r can be found by evaluating (p/r * c - am + Kc) divided by m.
Starting with the equation:
(a+b)m/c - K = p/r
First, multiply both sides of the equation by c to eliminate the denominator:
(a+b)m - Kc = p/r * c
Next, distribute the m to the terms inside the parentheses:
am + bm - Kc = p/r * c
Rearrange the equation to isolate the term containing b:
bm = p/r * c - am + Kc
Finally, divide both sides of the equation by m to solve for b:
b = (p/r * c - am + Kc) / m
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consider the correlation between heights of fathers and mothers and the heights of their sons. refer to the accompanying technology output. should the multiple regression equation be used for predicting the height of a son based on the height of his father and mother? why or why not?
Yes, the multiple regression equation should be used for predicting the height of a son based on the height of his father and mother because the P-value in the ANOVA table is very low.
What is multiple regression equation?Regression analysis is a group of statistical procedures used in statistical modeling to determine the associations between a dependent variable and one or more independent variables. A single dependent variable and numerous independent variables can be analyzed using the statistical approach known as multiple regression. In order to forecast the value of the single dependent value, multiple regression analysis uses independent variables whose values are known.
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3. A CD costs £9.50 in London and
cheaper, in British money, is the CD when bought in the US?
4. An MP3 player costs €20.46 in Spain and £12.60 in the UK. Which is
the cheaper in dollars, and by how much?
in Nou Delhi is 32860 rupees.
Step-by-step explanation:
Only Q4 has clear details
therefore, solving Question 4,
1 euro = $1.17
then, €20.46 =20.46×1.17 = $23.93.
1 pound =1.28 dollars.
then, £12.60 = 12.60×1.28 =$16.128
therefore, MP3 in pound is cheaper in dollar by $7.81.
You have a bag with 2 red marbles, 3 blue marbles, and 1 green marble. You draw a marble from the bag and then put it back in before drawing another one. What is the probability that both marbles are blue?
The probability that both marbles are blue is 1/4.
Since the marble is put back into the bag before the second draw, the probability of drawing a blue marble on the first draw is 3/6 or 1/2, and the probability of drawing a blue marble on the second draw is also 3/6 or 1/2.
The probability of both events happening together (drawing a blue marble on the first and second draws) is equal to the product of the probabilities of each event occurring separately, since the two events are independent of each other:
P(Blue on first draw AND Blue on second draw) = P(Blue on first draw) x P(Blue on second draw)
= 1/2 x 1/2
= 1/4
Therefore, the probability of drawing two blue marbles in a row with replacement is 1/4 or 25%.
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Answer:
Solve.
Step-by-step explanation:
make the 2 3 and 1 then turn them into 20 30 and 10 then you need to add them together to get the answer divide that by thirty and if its more than half yes, less than half no.
Write an exponential function that has a starting value of 0.1 and a decay rate of 0.1%.
Answer:
The answer is Exponential decay, 25% decrease
Step-by-step explanation:
In f(x) = 16(0.75)x the (0.75) does not have a 1 so it is decreasing and if it is only 75% of 16 then it would be losing 25% each time
Desperate
please Hurry
Question Down Below
Answer:
4
Step-by-step explanation:
\(\frac{6+10}{2+2}\) = \(\frac{16}{4}\) = 4
Amit, Sumit and Pramit go to a seaside town to spend a vacation there and on the first day everybody decides to visit different tourist locations. After breakfast each of them boards a different tourist vehicle from the nearest bus-depot, After three hours, Sumit who had gone to a famous beach, calls on the mobile of Pramit and claims that he has observed a shark in the waters, Pramit learns from the local guide that at that time of the year, only eight sea-creatures (including a shark) are observable and the probability of observing any creature is equal. However, Amit and Pramit later recall during their discussion that Sumit has a reputation for not telling the truth five out of six times. What is the probability that Sumit actually observed a shark in the waters?
The probability that Sumit actually saw a shark is 1/36.
ProbabilityThe area of mathematics known as probability deals with numerical representations of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an occurrence, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
According to the question, we can say
Let us assume that Sumit has actually seen 1 creature.
The probability that it is a Shark and Sumit reports it correctly = (1/8)(1/6) = (1/48)
The probability that it is not a Shark and Sumit claims that it is = (7/8)(5/6) = (35/48)
Therefore,
The probability that Sumit actually sees a Shark, given that he claimed to have seen one = [(1/8)(1/6)] / [(1/8)(1/6) + (7/8)(5/6)] = 1/36
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The table above shows how long Mariana worked on homework each day of the week.
How many total minutes did Mariana work on homework during the week? Show your work.
Answer:
443
Step-by-step explanation:
2 hours = 120 min
1,920/60= 32 min
120+98+134+32+59= 443 total minutes
Write your answer in scientific notation.
(1.25 x 10^4)(4 x 10^4)
Answer:
5 x 10^8
Step-by-step explanation:
First off, 1.25 x 4 = 5
10^4 x 10^4 = 10^8, using the product of powers rule.
You are left off with 5 x 10^8, hence my answer.