Y-3x=13+3x
HELP plis :(

The range of values of x that satisfy sec(x) = -√(2) and π/2 is:

x = 3π/4, 5π/4, 0.453, 5.829.

The range of values of x is calculated as follows;

Since sec(x) = 1/cos(x), we can use the identity cos^2(x) + sin^2(x) = 1 to solve for cos(x).

First, we consider the case where sec(x) = -√(2).

We know that sec(x) = 1/cos(x), so we can write:

1/cos(x) = -√(2)

Multiplying both sides by cos(x) gives:

1 = -√(2)cos(x)

Dividing both sides by -√(2) gives:

-1/√(2) = cos(x)

So, x is an angle whose cosine is -1/√(2). This occurs in the second quadrant, where cosine is negative. We can find the reference angle for this value of cosine by taking the arccosine of its absolute value:

arccos(|-1/√(2)|) = π/4

Therefore, x is either:

x = π - π/4 = 3π/4

or

x = π + π/4 = 5π/4

Next, we consider the case where sec(x) = π/2. We know that sec(x) = 1/cos(x), so we can write:

1/cos(x) = π/2

Multiplying both sides by cos(x) gives:

1 = π/2 cos(x)

Dividing both sides by π/2 gives:

2/π = cos(x)

So, x is an angle whose cosine is 2/π. This occurs in the first quadrant, where cosine is positive. We can find the reference angle for this value of cosine by taking the arccosine:

arccos(2/π)

Using a calculator, we find that:

arccos(2/π) ≈ 0.453

Therefore, x is either:

x = 0.453

or

x = 2π - 0.453 ≈ 5.829

So the range of values of x that satisfy sec(x) = -√(2) and π/2 is:

x = 3π/4, 5π/4, 0.453, 5.829

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The complete question is below:

If sec(x) = -√(2) and π/2, find the range of values of x

The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

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9. Yes, since \(8+12>16\), meaning the side lengths satisfy the triangle inequality.

10. No, since \(5+7<20\), meaning the side lengths do not satisfy the triangle inequality.

Answer:  first problem 3rd choice  The graph shifts vertically up 5 units

11.) the y intercept is  -5

19.)  f(-8) = -18

last item  third choice  All real numbers such that  are ≥ 0 and ≤ 40

Step-by-step explanation:

19.)  f(x)=2(-8 -3) + 4

              2 (-11)  + 4

                -22 + 4

        f(-8) = -18

The joint pdf of y1, y2, and y3 is f(y1, y2, y3) = 2\(e^(^-^y^1^-^y^3^)\)(y1y3)⁻². They are not mutually independent, as their joint pdf cannot be factored into individual pdfs of y1, y2, and y3.

To find the joint pdf, first note the transformations: x1 = y3/y1, x2 = y3/y2, and x3 = y1y2y3. The Jacobian of this transformation is |J| = |(∂(x1, x2, x3)/∂(y1, y2, y3))| = |2y1y2y3²|.

Next, find the joint pdf of x1, x2, and x3: f(x1, x2, x3) = \(e^-^x^1e^-^x^2e^-^x^3\) , since they are i.i.d. with exp(1) distribution. Now, apply the transformation and Jacobian: f(y1, y2, y3) = f(x1, x2, x3)|J| =  \(e^-^x^1e^-^x^2e^-^x^3\) (2y1y2y3²) = 2\(e^(^-^y^1^-^y^3^)\)(y1y3)⁻². As the joint pdf cannot be factored into individual pdfs of y1, y2, and y3, they are not mutually independent.

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Answer: the first term in the sequence is 9.

Step-by-step explanation:

Let the primary term be x.

At that point the moment term is 2x + 4.

And the third term is 2(2x + 4) + 4 = 4x + 12.

Since the third term is given as 48, we will set up an condition and unravel for x:

4x + 12 = 48

4x = 36

x = 9

SOLUTION:

Case: Initial value problem

An initial value problem is an ordinary differential equation together with an initial condition that specifies the value of the unknown function at a given point in the domain

To solve the initial value problem, we have a value of the derivative of y when x is known.

y'(x)= value

Given:

f(4)=2

The resulting equation will be:

Final answer:

Answer:

= -7/2

Step-by-step explanation:

What the equation is saying is that 9 - 4x = 23.

x means some number we don't know, but the value of x should be able to satisfy 9 - 4x = 23

In order to find what x may be we must separate it so it is by itself.

First we subtract 9 from both sides,

9 - 9 - 4x = 23 - 9

-4x = 14

Now we divide both sides by -4 to get x,

-4x/-4 = 14/-4

x = -14/4 = -7/2

Answer:

x= -3.5 or x=-7/2

Step-by-step explanation:

We are given the equation:

23 = 9 - 4x

We want to solve for the variable, x. Therefore, we must isolate x on one side of the equation.

First, let's rearrange the equation.

23 = 9 -4x

23= -4x +9

9 is being added to -4x. The inverse of addition is subtraction. Subtract 9 from both sides of the equation.

23-9= -4x +9-9

23-9= -4x

14 = -4x

-4 and x are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by -4.

14/-4= -4x/-4

14/-4= x

-7/2=x

-3.5=x

Let's check our solution. Plug -3.5 in for x and solve.

23=9-4x    (x=-3.5)

23= 9-4(-3.5)

23= 9- -14

23= 9+14

The statement above is true, so we know our solution is correct.

The solution to the equation is x= -3.5 or x= -7/2

Answer:

5,6,8,12,20,36,68

Its a sphere

\(\boxed{\sf Volume=\dfrac{4}{3}πr^3}\)

\(\\ \sf\longmapsto Volume=\dfrac{4}{3}\times\dfrac{22}{7}\times 3^3\)

\(\\ \sf\longmapsto Volume=\dfrac{4\times 22}{7}\times 9\)

\(\\ \sf\longmapsto Volume=113.1ft^3\)

ANSWER

14 days

EXPLANATION

The mean of a data set is the sum of all data, divided by the number of data,

In this case, the number of data is 6, so the mean is,

Hence, the mean number of days taken for medical leave each month is 14.

Answer:

Set your calculator to degree mode.

x/sin(34°) = 21/sin(71°)

x = 21sin(34°)/sin(71°) = about 12.42

Answer:

{x,y}={−5,−7}

Explain:

// Solve equation [2] for the variable  y [2]    3y = 7x + 14 [2]    y = 7x/3 + 14/3 // Plug this in for variable  y  in equation [1] [1]    8x - 3•(7x/3+14/3) = -19 [1]    x = -5 // Solve equation [1] for the variable  x [1]    x = - 5 // By now we know this much : x = -5 y = 7x/3+14/3 // Use the  x  value to solve for  y y = (7/3)(-5)+14/3 = -7 Solution : {x,y} = {-5,-7}

Hoped I helped

Answer:

Input:

f(x, y) = x^2 - y^2

Geometric figure:

hyperbolic paraboloid

3D plot:

3D plot

Contour plot:

Contour plot

Alternate form:

f(x, y) = (x - y) (x + y)

Alternate form assuming x and y are positive:

x^2 = f(x, y) + y^2

Properties as a function:

Domain

R^2

Range

R (all real numbers)

Parity

even

Partial derivatives:

d/dx(x^2 - y^2) = 2 x

d/dy(x^2 - y^2) = -2 y

Indefinite integral assuming all variables are real:

integral(x^2 - y^2) dx = x^3/3 - x y^2 + constant

It will take 20 minutes to dissipate the queue that resulted from blockage if

the freeway has the capacity of 4000 vph.

Mean service rate(M) = 4000vph

Mean arrival rate(λ)  = 3000vph

Block time duration of queue (r) = 5min

Time taken to dissipate the queue =  t

t = (M * r)/(M-λ)

Substitute  the given values

t  =  (4000*5)/(4000-3000)

t = 20000/1000

t = 20minutes.

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To answer the given questions, we need to analyze the information provided and construct a Venn diagram to represent the relationships between the different groups of shoppers.

a. To find the number of shoppers who made a purchase and were satisfied with the service, we subtract the number of those who made a purchase but were not satisfied from the total number of shoppers who made a purchase: 214 - 52 = 162. b. To find the number of shoppers who either made a purchase or were satisfied with the service, we add the number of those who made a purchase to the number of those who were satisfied with the service and then subtract the number of shoppers who both made a purchase and were satisfied: 214 + 299 - 162 = 351. c. To find the number of shoppers who were satisfied with the service but did not make a purchase, we subtract the number of shoppers who both made a purchase and were satisfied from the total number of shoppers who were satisfied: 299 - 162 = 137. d. To find the number of shoppers who were not satisfied with the service and did not make a purchase, we subtract the number of shoppers who both made a purchase and were not satisfied from the total number of shoppers: 428 - 214 - 52 = 162. e. Constructing a Venn diagram will help visualize the relationships between the groups. The rectangle represents the universal set U, and two circles represent the sets P (made a purchase) and S (were satisfied with the service). The overlapping region represents the intersection of P and S, which represents the shoppers who both made a purchase and were satisfied.

f. From the information given, we know that 299 shoppers were satisfied with the service out of a total of 428 shoppers surveyed. To find the percentage, we divide the number of shoppers satisfied by the total number of shoppers and multiply by 100: (299/428) * 100 = 69.9%. g. To find the percentage of people who were satisfied with the service and also made a purchase, we divide the number of shoppers in the intersection of P and S by the total number of shoppers and multiply by 100: (162/428) * 100 = 37.9%. h. To find the percentage of all people surveyed who made a purchase, we divide the number of shoppers who made a purchase by the total number of shoppers and multiply by 100: (214/428) * 100 = 50%. i. To find the percentage of all people surveyed who were satisfied with the service, we divide the number of shoppers satisfied with the service by the total number of shoppers and multiply by 100: (299/428) * 100 = 69.9%. j. To find the percentage of people who made a purchase and were also satisfied with the service, we divide the number of shoppers in the intersection of P and S by the number of shoppers who made a purchase and multiply by 100: (162/214) * 100 = 75.7%.

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Adding all of the remaining pizzas, and dividing the total pizza into 5 equal fractions, the fraction of pizza that each person gets would be 11/24

A mixed number is a combination of a whole number and a fraction. For example, 3 1/2 is a mixed number. It is different from an improper fraction, which is a fraction where the numerator is greater than or equal to the denominator. For example, 7/4 is an improper fraction.

To convert a mixed number to an improper fraction, you must first multiply the whole number by the denominator of the fraction. Then add the result to the numerator. Finally, place the sum over the denominator. For example, to convert 3 1/2 to an improper fraction, you would first multiply 3 by 2 (the denominator of the fraction 1/2) to get 6, then add 1 (the numerator of the fraction 1/2) to get 7. So 3 1/2 is equivalent to 7/2 as an improper fraction.

So to find out the fraction of a whole pizza  that each person gets out of the different remaining pizzas, first we need to all the remaining pizzas as shown below,

3/4 of pepperoni + 5/8 of cheese + 11/12 of sausage = 55/24

Now to equally divide this into 5 person, we need to divide this fraction by 5,

i.e 55/(24*5) = 11/24

Therefore, each person gets 11/24 of the whole pizza.

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Answer:

3

Step-by-step explanation:

as u add 2 + 1 from the 6 and 7 hours

The given second-order linear differential equation y" + 9y = 2x + 4 with initial conditions y(0) = 0 and y'(0) = 1 can be solved using the method of Laplace transforms.

To solve the differential equation using Laplace transforms, we first take the Laplace transform of both sides of the equation. Applying the Laplace transform to the terms individually, we have:

s²Y(s) - sy(0) - y'(0) + 9Y(s) = 2X(s) + 4,

where Y(s) and X(s) are the Laplace transforms of y(t) and x(t), respectively. Substituting the initial conditions y(0) = 0 and y'(0) = 1, we get:

s²Y(s) - s(0) - 1 + 9Y(s) = 2X(s) + 4,

s²Y(s) + 9Y(s) = 2X(s) + 5.

Next, we need to find the Laplace transform of the right-hand side terms. Using the standard Laplace transform formulas, we obtain:

L{2x + 4} = 2X(s) + 4/s,

Substituting this into the equation, we have:

s²Y(s) + 9Y(s) = 2X(s) + 4/s + 5.

Now, we can solve for Y(s) by rearranging the equation:

Y(s) = (2X(s) + 4/s + 5) / (s² + 9).

Finally, we need to take the inverse Laplace transform of Y(s) to obtain the solution y(t). Depending on the complexity of the expression, partial fraction decomposition or other techniques may be necessary to find the inverse Laplace transform.

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Answer:

(4, 9)

Step-by-step explanation:

Based on the information I'm given, 180° is 1/2 of 360°

If you drew a graph of (-4, -9) and folded it across into a triangle shape the coordinates would be (4, 9)

I hope this helped!

Answer:

\(\frac{1}{2}\)x

Step-by-step explanation:

3/5  is the same as 6/10

\(\frac{6}{10}\) x - \(\frac{1}{10}\)x

\(\frac{5}{10}\)x = \(\frac{1}{2}\)x

Step-by-step explanation:

$44,550

Var(x)  is equals to 13.

Variance is a measure of the spread or dispersion of a set of data from its mean. It is calculated by taking the differences between each data point and the mean, and then squaring the differences. The larger the variance, the more spread out the data is from the mean.

The formula for variance is Var(x) = E(x^2) - (E(x))^2.

Given that E(x) = 1, Var(x^2) = 5, and E(x^2) = 14, we can plug these values into the formula and solve for Var(x).

Var(x) = E(x^2) - (E(x))^2
Var(x) = 14 - (1)^2
Var(x) = 14 - 1
Var(x) = 13

Therefore, the variance of x is 13.

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Answer: Becomes four times

Step-by-step explanation:

Given

Speed is doubled for a moving object

Suppose initial speed is u

Increased speed is 2u

Kinetic Energy is given by

\(\Rightarrow K=0.5mu^2\)

When speed is doubled

\(\Rightarrow K'=0.5m(2u)^2\\\Rightarrow K'=(0.5mu^2)\times 4\\\Rightarrow K'=4K\)

Kinetic energy becomes four times

Answer:

38minutes

Step-by-step explanation:

41-3=38

The prοbabiIity οf the spinner stοpping at green and a yeIIοw card being seIected is 1/18.

PrοbabiIity is a measure οf the IikeIihοοd οf an event οccurring, expressed as a number between 0 and 1. It is caIcuIated as the number οf favοrabIe οutcοmes divided by the tοtaI number οf pοssibIe οutcοmes.

The prοbabiIity οf the spinner stοpping at green is 1/3 since there are three equaI parts.

The prοbabiIity οf seIecting a yeIIοw card frοm the six cards is 1/6 since there is οne yeIIοw card οut οf six cards in tοtaI.

Tο find the prοbabiIity οf bοth events happening, we muItipIy the individuaI prοbabiIities:

P(green and yeIIοw) = P(green) * P(yeIIοw)

= (1/3) * (1/6)

= 1/18

Therefοre, the prοbabiIity οf the spinner stοpping at green and a yeIIοw card being seIected is 1/18.

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Answer:

1. \(\overline {TU}\)

2. Given

3. \(\overline {RT}\)  

4. Side-Side-Side (SSS) rule of congruency

Step-by-step explanation:

The two column proof is presented as follows;

Statement    \({}\)                Reason

1.  \(\overline {RS}\) ≅  \(\overline {TU}\)    \({}\)            Given

2. \(\overline {ST}\) ≅  \(\overline {UR}\)     \({}\)           Given

3. \(\overline {RT}\) ≅  \(\overline {RT}\)     \({}\)           Reflexive property

4. ΔRST ≅ ΔTUR   \({}\)      SSS rule of congruency\({}\)

The Side-Side-Side rule of congruency states that if three sides of one triangle are congruent to three sides of another triangle then both triangles are congruent.    

Answer:

u=y

u=35°

hope this is enough

The angles are those which are located at the same relative location on distinct crossings and are known as corresponding angles.

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Answer:

VW = 30

Step-by-step explanation:

As M is the mid point of VW , VM = MW...........eqn 1

We know that VM = 4x - 1 & MW = 3x + 3

Equating VM & MW in eqn 1,

4x - 1 = 3x + 3

=> 4x - 3x = 3 + 1

=> x = 4

Substituting the value of x in VM & MW,

VM = 4×4 - 1 = 15

MW = 3×4 + 3 = 15

VW = VM + MW = 30

Answer:by any chance do you go to oak ridgehigh school in geometry, and this is fridays quiz on canvas? are you in mrs.bakers class?

Step-by-step explanation:

Answer:

NMHGJMHBNKJ6T76 5745

Step-by-step explanation:

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