\(\theta =\cfrac{14}{3}\pi \implies \theta =\cfrac{14\pi }{3}\implies \theta =\cfrac{6\pi +6\pi +2\pi }{3} \\\\\\ \theta =\cfrac{6\pi }{3}+\cfrac{6\pi }{3}+\cfrac{2\pi }{3}\implies \theta =2\pi +2\pi +\cfrac{2\pi }{3}\)
so if we take a look at that, we can say that the angle θ does two revolutions and then it lands on 2π/3, so the terminal point of it is the same as 2π/3's, and if you check your Unit Circle, as you should have one
\(\sin(\theta )=\cfrac{\sqrt{3}}{2}\hspace{5em}\cos(\theta )=-\cfrac{1}{2}\)
Answer:
sin∅ = √3/2
cos∅ = -1/2
Step-by-step explanation:
Notice that 14π/3 is just under 3π, so the reference angle made with the negative x-axis is π/3. Since sin(π/3) = √3/2, then sin(14π/3) is also √3/2.
cos(14π/3) works somewhat similarly. Since cos(π/3) = 0.5, and cos(14π/3) would be located in Quadrant II where the negative axis is, then cos(14π/3) = -0.5
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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Based on the graph how many bottles will be filled in 80 seconds? 
Answer:
Below
Step-by-step explanation:
Find unit rate (since it starts at 0,0)
at 45 seconds it is 900 bottles
900 bottles / 45 seconds = 20 bottle / sec
20 bottles / sec * 80 sec = 1600 bottles
Evaluate. 1 1/2+3/4÷(−1/3)−2/3 Enter your answer as a mixed number in simplest form
Answer:
-1 5/12
Step-by-step explanation:
1 1/2+3/4÷(−1/3)−2/3
3/2-2/3+3/4*3/-1
9-4/6-9/4
5/6-9/4
20-54/24
-34/24
-17/12
-1 5/12
Un profesor de Enseñanza Básica le indica a sus alumnos que escojan tres dígitos
diferentes del conjunto {1, 2, 3, 4, 5} y formen números mixtos colocando los dígitos
en el casillero . También les recuerda que la parte fraccionaria tiene que ser
menor que 1, por ejemplo
2
3
5
. ¿Cuál es la diferencia entre el mayor y el menor de los
números mixtos que se pueden formar?
Enseñanza Básica is the term used to describe the first level of education in the Chilean education system, which includes the first to eighth grades. A teacher of Enseñanza Básica asked his students to choose three-digit mixed numbers that can be formed.
A mixed number is a number that has both a whole number and a fraction component. To form three-digit mixed numbers, we need to have a whole number that is less than 100 and a proper fraction that has a denominator less than or equal to 99. Here are some examples:123 4/567 2/8109 1/2382 3/47There are a total of 900 three-digit numbers that can be formed using digits 1 to 9 without repetition. To find the number of three-digit mixed numbers that can be formed, we need to count the number of ways we can choose a proper fraction with a denominator less than or equal to 99. There are 99 possible denominators, and for each denominator, there are 98 possible numerators (excluding 0 and the denominator itself). Therefore, the total number of three-digit mixed numbers that can be formed is:900 x 99 x 98 = 8,334,600There are 8,334,600 three-digit mixed numbers that can be formed using digits 1 to 9 without repetition.For such more question on fraction
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The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.
How to solveThe three digits different from {1, 2, 3, 4, 5} can be chosen from {0, 6, 7, 8, 9}.
The greatest mixed number is formed by placing the largest digit as the whole number and the remaining two digits as the fraction in descending order, i.e., 9 87/100 or 9.87.
The smallest mixed number is formed by placing the smallest non-zero digit as the whole number and the remaining two digits as the fraction in ascending order, i.e., 6 07/90 or 6.0789.
The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.
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The Question in English
A Basic Education teacher tells his students to choose three digits
different from the set {1, 2, 3, 4, 5} and form mixed numbers by placing the digits
in the locker It also reminds them that the fractional part has to be
less than 1, for example
2
3
5
. What is the difference between the greatest and the least of the
mixed numbers that can be formed?
find the three points that solve the equation -3y=-2x-6
Step-by-step explanation:
Find three points that solve the equation -3y= -2x-6 to plot on a graph
----------
Solve for y (or x)
-3y= -2x-6
y = (2/3)x + 2
Pick 3 values of x and find y.
If you choose x as multiples of 3, you won't get fractions.
Plot the points.
Draw a line thru them.
Dos rectas son paralelas, una de ellas es 3x+2y−4=0 y la otra pasa por el punto (4,5); Encuentra la ecuación general de la otra recta
Step-by-step explanation:
la respuesta está en la imagen de arriba .si necesita ayuda, no dude en preguntar
Find the equation of a line parallel to y=x−1 that contains the point (−3,−2). Write the equation in slope-intercept form.
Answer:
y = x + 1
Step-by-step explanation:
Parallel lines have same slope.
y = x - 1
Compare with the equation of line in slope y-intercept form: y = mx +b
Here, m is the slope and b is the y-intercept.
m =1
Now, the equation is,
y = x + b
The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,
-2 = -3 + b
-2 + 3 = b
\(\boxed{b= 1}\)
Equation of line in slope-intercept form:
\(\boxed{\bf y = x + 1}\)
The equation is :
↬ y = x + 1Solution:
We KnowIf two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.
We shouldn't forget about a point on the line : (-3, -2).
I plug that into a point-slope which is :
\(\sf{y-y_1=m(x-x_1)}\)
Slope is 1 so
\(\sf{y-y_1=1(x-x_1)}\)
Simplify
\(\sf{y-y_1=x-x_1}\)
Now I plug in the other numbers.
-3 and -2 are x and y, respectively.
\(\sf{y-(-2)=x-(-3)}\)
Simplify
\(\sf{y+2=x+3}\)
We're almost there, the objective is to have an equation in y = mx + b form.
So now I subtract 2 from each side
\(\sf{y=x+1}\)
Hence, the equation is y = x + 1help asap question in picture
\( \: \Large \mathbb{SOLUTION:}\)
\( \: \: \rm{ \bigg( - \frac{5}{3} \bigg) {}^{2} } \\ \)
\( \: \: \text{Determine the sign for exponential or radical expreasions}\)
\( \: \: \rm{ \bigg( \frac{5}{3} \bigg) {}^{2} } \\ \)
\( \: \: \text{Calculate the power}\)
\( \: \: \rm \boxed{ \frac{25}{9} } \\ \)
\( \frac{25}{9} \\ \)
Solution:Determine the sign
\(( -\frac{5}{3} ) {}^{2} \)
\(( \frac{5}{3} ) {}^{2} \)
\( \frac{5 {}^{2} }{3 {}^{2} } \\ \)
\( \frac{25}{3 {}^{2} } \\ \)
\( \frac{25}{9} \\ \)
(a) The length of a rectangle is 6 cm more than its width, w cm. The perimeter of the rectangle is 37 cm. Form an equation in w and solve it to find the width of the rectangle.
The width of the rectangle whose perimeter is 37 cm is 6.25 cm.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
The length of a rectangle is 6 cm more than its width, w cm.
So, the length = w + 6
The perimeter of the rectangle is 37 cm.
Then, Perimeter of the rectangle = 37
2(l+ w) = 37
2( w+ 6 +w )= 37
2(2w + 6)= 37
4w + 12 = 37
4w = 25
w = 6.25 cm
and, length = w+ 6 = 6 + 6.25 = 12.25 cm
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help because i need to learn this
Perimeter of square = 4× side
=> 36cm = 4 × side
=> side = 9cm
Now area of a suqare:
= side × side
= 9× 9
=81 cm2
Optimal Chapter-Flight Fare If exactly 212 people sign up for a charter flight, Leisure World Travel Agency charges $292/person. However, if
more than 212 people sign up for the flight (assume this is the case), then each fare is reduced by $1 for each additional person. Determine how
many passengers will result in a maximum revenue for the travel agency. Hint: Let x denote the number of passengers above 212. Show that the
revenue function R is given by R(x) = (212+x)(292-x).
passengers
What is the maximum revenue?
$
What would be the fare per passenger in this case?
dollars per passenger
Answer:
Dollars per passenger would be $252.
The maximum revenue is $63,404.
Step-by-step explanation:
Let's define the number of passengers above 212 as x.
The revenue function is given by R(x) = (212 + x)(292 - x).
We can expand and simplify the revenue function:
\(R(x) = 212 * 292 + 212 * (-x) + x * 292 + x * (-x)\)
= \(61804 - 212x + 292x - x^2\)
= \(-x^2 + 80x + 61804\)
The revenue function is a quadratic function in the form\(R(x) = -x^2 + 80x + 61804\), representing a downward-opening parabola.
To find the x-coordinate of the vertex (which gives the number of passengers for maximum revenue), use the formula \(x = -b/2a\), where \(a = -1\) and \(b = 80\).
\(x=\frac{-80}{2*(-1)}\)
\(= \frac{80}{2}\)
\(= 40\)
Therefore, the number of passengers above 212 for maximum revenue is 40.
Substitute x = 40 into the revenue function to find the maximum revenue:
\(R(x) = -(40)^2 + 80(40) + 61804\)
\(= -1600 + 3200 + 61804\)
\(= 61804 + 1600\)
\(= 63404\)
Hence, the maximum revenue is $63,404.
To determine the fare per passenger, subtract x from the base fare of $292:
Fare per passenger = Base fare - x
\(= 292 - 40\)
\(= 252\) Dollars per passenger.
The university police department must write, on average, five tickets per day to keep department revenues at budgeted levels. Suppose the number of tickets written per day follows a Poisson distribution with a mean of 7.5. Find the probability that fewer than three tickets are written on a randomly selected day.
Answer:
0.0204 = 2.04% probability that fewer than three tickets are written on a randomly selected day.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)
In which
x is the number of sucesses
e = 2.71828 is the Euler number
\(\mu\) is the mean in the given interval.
Poisson distribution with a mean of 7.5.
This means that \(\mu = 7.5\).
Find the probability that fewer than three tickets are written on a randomly selected day.
This is:
\(P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)\)
So
\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)
\(P(X = 0) = \frac{e^{-7.5}*(7.5)^{0}}{(0)!} = 0.0006\)
\(P(X = 1) = \frac{e^{-7.5}*(7.5)^{1}}{(1)!} = 0.0042\)
\(P(X = 2) = \frac{e^{-7.5}*(7.5)^{2}}{(2)!} = 0.0156\)
\(P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0006 + 0.0042 + 0.0156 = 0.0204\)
0.0204 = 2.04% probability that fewer than three tickets are written on a randomly selected day.
page 79 on what should you watch monster movies
Answer:
Netfixxxxxx
Step-by-step explanation:
Answer: Hulu hope this helps have a great night
Step-by-step explanation:
How many liters are in 120 quarts?
1 qt ≈ 0.95 L
Answer:
114 liters
Step-by-step explanation:
120 x 0.95 = 114
Angle ADB and CD are straight lines. angle ADC = 5 x angle CDB Work out the size of angle ADC.
Answer:
Step-by-step explanation:
Solve the systems of equations using substitution
Answer:
C
Step-by-step explanation:
\(y = 2x + 3 \\ y = 3x + 1 \\ 2x = y - 3 \\ x = 0.5y - 1.5 \\ y = 3(0.5y - 1.5) + 1 \\ y = 1.5y - 4.5 + 1 \\ y - 1.5y = - 3.5 \\ 0.5y = 3.5 \\ y = 7\)
\(x = 0.5(7) - 1.5 \\ x = 3.5 - 1.5 \\ x = 2\)
(2, 7)
30 POINTS!! my back hurts
Answer:
which questions do you want to ask
Step-by-step explanation:
sorry but I didn't know
What can you do to solve the equation x/5 = -2
Answer: x=-10
Step-by-step explanation:
Given that x/5=-2
multiply both sides of equation with 5
(x/5)*(5)=(-2)*(5)
x=-10
If two angles are complementary, find the measure of each of angle.
Answer:
B: 30 and 60
Step-by-step explanation:
First, let's set up an equation. Since the two angles are complementary, we can write the equation like this:
2p + p = 90
Now, let's solve it!
2p + p = 90
Combine like terms:
3p = 90
Divide each side by 3 to isolate p:
3p/3 = 90/3
p = 30
Now that we know how many degrees one of our angles is, we can subtract that from 90 to get both of the complementary angles.
90 - 30 = 60
Therefore, the two angles that are complementary in this case are 30 and 60 degrees.
Suppose Derrick is an insect enthusiast who measured the body length and weight of three insects in his backyard. His data are shown in the table.
Answer:
Step-by-step explanation:
faste او انوار کو کسی Q2. 3 balls are drawns from the box containing six white balls five red balls and four blue balls find the probabi- lity. that they are draw from the other blue red and white if each ball is (i) Replaced (ii) Not replace.
The probability of drawing blue, red, and white balls consecutively is 120/3375 with replacement and 120/2730 without replacement.
To calculate the probability of drawing three balls from a box containing six white balls, five red balls, and four blue balls, we need to consider two scenarios: with replacement and without replacement.
(i) With replacement:
When each ball is replaced after it is drawn, the total number of balls remains the same for each draw. Therefore, the probability of drawing a specific color on each draw remains constant.
The probability of drawing a blue ball on each draw is 4/15, the probability of drawing a red ball is 5/15, and the probability of drawing a white ball is 6/15 (assuming all colors are equally likely to be drawn).
To find the probability of drawing a blue, red, and white ball consecutively, we multiply the probabilities together since the events are independent:
P(Blue, Red, White) = (4/15) * (5/15) * (6/15) = 120/3375
(ii) Without replacement:
When the balls are not replaced after being drawn, the total number of balls decreases for each subsequent draw. This affects the probability of each color being drawn on subsequent draws.
For the first draw, the probability of drawing a blue ball is 4/15, a red ball is 5/15, and a white ball is 6/15.
For the second draw, the probability of drawing a blue ball is 3/14, a red ball is 5/14 (as one blue ball is already drawn), and a white ball is 6/14.
For the third draw, the probability of drawing a blue ball is 2/13, a red ball is 4/13 (as two blue balls and one red ball are already drawn), and a white ball is 6/13.
To find the probability of drawing a blue, red, and white ball consecutively without replacement, we multiply the probabilities together:
P(Blue, Red, White) = (4/15) * (5/14) * (6/13) = 120/2730
Therefore, the probability of drawing blue, red, and white balls consecutively is 120/3375 with replacement and 120/2730 without replacement.
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the product of nine and the difference between a number and five
5-9x
9(x-5)
9(5-x)
9x-5
Answer:
9(x-5)
Step-by-step explanation:
Product of 9 = Multiply by 9
Difference = Subtract
Number = x
Using algebraic expressions, the product of 9 and the difference between the number (x) and 5 is expressed as: 9(x - 5).
What is an Algebraic Equation?An algebraic equation involves a mixture of numbers and variables, in which case, the variable is used to represent an unknown number.
Let variable x represent the number
Product of 9 and the difference between (x - 5) is expressed as an algebraic expression as: 9(x - 5).
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Assume the sample is a random sample from a distribution that is reasonably normally distributed and we are doing inference for a sample mean
(a) Find endpoints of a t-distribution with 5 % beyond them in each tail if the sample has size n = 12.
(b) Find endpoints of a t-distribution with 1% beyond them in each tail if the sample has size n=20.
Answer:
a) Hence the endpoints of a t-distribution with 5% beyond them in each tail if the sample has size n=12 is ± 1.796.
b) Hence the endpoints of a t-distribution with 1% beyond them in each tail if the sample has size n=20 is ± 2.539.
Step-by-step explanation:
Here the answer is given as follows,
NEED ANSWER AS SOON AS POSSIBLE!!
The table represents a function.
What is f(5)? -8 -4 - 1 f(x) -2 5 4 -8 5 08
Answer:
It's -8.
Step-by-step explanation:
The 5 in the f(5) is the 5 in the x column. Then you just find its value, which is -8
The value of function f(5) is -8.
What is function?A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.
We have function,
x f(x)
-4 -2
-1 5
3 4
5 -8
Now, to find the value of f(5) we have to find the value of function when x= 5.
So, from the table value f(x) have correspond to x = 5 is -8.
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Solve for m∠PNM.
58
186
97
87
The calculated measure of m∠PNM is 87 degrees
How to calculate the meausre of m∠PNM.from the question, we have the following parameters that can be used in our computation:
The circle
Where, we have
PM = 360 - 64 - 122
Evaluate
PM = 174
Next, we have
m∠PNM = 1/2 * 174
So, we have
m∠PNM = 87
Hence, the measure of m∠PNM is 87 degrees
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Nick paid $27 for beats headphones. They were on sale for $5 less than half of the regular price. What was the regular price?
Answer:
$64
Step-by-step explanation:
Add $5 to $27 to find out what the half off price was, then double that to get the regular price
What type of linear equation is X +1 equals X +1?
The given equation is 1-degree linear equation in one variable.
What is linear equation?
A linear equation is one that may be written as a1x1+a2x2+......+anxn in mathematics, where a1, a2,...., an are the coefficients, which are frequently real integers. The coefficients, which may be any expressions as long as they don't contain any of the variables, can be thought of as the equation's parameters. The coefficients a1 to a must not all be 0 in order for the equation to have any sense. An alternative method for creating a linear equation is to equalize a linear polynomial over a field, from which the coefficients are drawn, to zero. The numbers that, when used to replace the unknowns in such an equation, result in the equality, are the solutions.
x+1 = x+1 is a 1-degree linear equation in one variable (x).
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Carter rewrites 28 × 2 in expanded form to find the product. 28 × 2 = (20 × 2) + (8 × 2) What is the next step to find the product? adding the product of 20 × 2 to the product of 8 × 2 subtracting the product of 20 × 2 from the product of 8 × 2 multiplying the product of 20 × 2 by the product of 8 × 2 dividing the product of 20 × 2 by the product of 8 × 2
Answer:
add the product of 20×2 to the product of 8×2
Step-by-step explanation:
that will give u 40+ 16 Which is equal to 56
Answer:
adding the product of 20 × 2 to the product of 8 × 2
Step-by-step explanation:
28 × 2=(20 × 2) + (8 × 2)= 40+16=56
the next step as above is:
adding the product of 20 × 2 to the product of 8 × 2168 divided by a number x equals 14
Answer:
x = 12
Step-by-step explanation:
=> 168 / x = 14
=> x = 168 / 14
=> x = 14 x 12 / 14
=> x = 12
A triangle has a base of x and a height of x+4. If the area is equal to 30, what is the value of x
Answer:
x= the square root of 26 or negative of the square root of 26.