what are the values of x and y​

Answer:

3/5 mile/h

Step-by-step explanation:

velocity = distance / time

then 1/5 / 1/3 = 1/5 * 3/1 = 3/5

To solve the wave equation subject to the given boundary conditions, we need to find the solution that satisfies both the wave equation and the specified initial and boundary conditions.

The wave equation is given by ∂²u/∂t² = c²∂²u/∂x², where u represents the function, c is the wave speed, t is time, and x is the position.

The initial condition is u(x, 0) = 0, which means the initial displacement is zero.

The boundary conditions are u(0, t) = u(L, t) = 0, which means the function is fixed at the boundaries and does not vary with time.

To solve this problem, we can use the method of separation of variables. We assume a solution of the form u(x, t) = X(x)T(t) and substitute it into the wave equation.

By separating variables and solving the resulting ordinary differential equations, we can obtain the solutions for X(x) and T(t). The general solution will then be a linear combination of the separated solutions.

Applying the initial and boundary conditions will allow us to determine the specific values of the coefficients and obtain the final solution.

The detailed calculation process and specific solution will depend on the specific boundary conditions, the initial condition, and the domain of interest. Without further information about the specific values of L and the wave speed c, it is not possible to provide a more detailed solution in this context.

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The solution is 44 copies

The number of copies the copy machine makes in one minute is 44 copies

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

The number of copies the copy machine makes = 231 copies

Time required by the to make 231 copies = 5 minutes 15 seconds

5 minutes = 5 x 60 seconds

5 minutes = 300 seconds

5 minutes 15 seconds = 300 + 15 seconds

5 minutes 15 seconds = 315 seconds

So , Time required by the to make 231 copies = 315 seconds

Now , number of copies in 1 minute = 60 x ( The number of copies the copy machine makes / Time required by the to make 231 copies )

Substituting the values in the equation , we get

Number of copies in one minute A = 60 x ( 231 / 315 )

Number of copies in one minute A = 60 x 0.733

Number of copies in one minute A = 44 copies

Therefore , the value of A is 44 copies

Hence , the number of copies is 44 copies

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okay so for the first one it's 3b-16

but when you see b=8 you would rewrite it as 3×8- 16 and once you do that you should have the answers you do the same thing for the rest of them :)

Answer:

x  ≤  6

Step-by-step explanation:

Let's solve your inequality step-by-step.

−17+2x≤19−4x

Step 1: Simplify both sides of the inequality.

2x−17≤−4x+19

Step 2: Add 4x to both sides.

2x−17+4x≤−4x+19+4x

6x−17≤19

Step 3: Add 17 to both sides.

6x−17+17≤19+17

6x≤36

Step 4: Divide both sides by 6.

6x /6 ≤ 36 /6

x≤6

Step-by-step explanation:

_17 + 2× < 19 _ 4×

grouping of like terms

2x + 4x < 19+ 17

add both sides

6x < 36

divide both sides by 6

6x/6 < 36/6

x < 6

therefore the sign changes

where x >6

The correct answer is (d) Those values of a for which the numerator of the function r is not zero.

For a rational function r(x), the limit of r(x) as x approaches a can be determined by evaluating r(a) if the numerator of the function is not zero. This is because when the numerator is not zero, the limit of the function is defined and equal to the value of the function at that point.

However, if the numerator of the function is zero, then further analysis is required to determine the limit. In this case, the limit may be defined or undefined, depending on the behavior of the function as x approaches the point of interest.

In general, for a rational function, the limit exists and is equal to the value of the function at that point if and only if the numerator of the function is not zero at that point.

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Answer:

a=25

angle abq=139 degrees

bcr=41

Step-by-step explanation:

(2a-9)+(5a+14)=180

7a+5=180

7a=175

a=25

2(25)-9=41

180-41=139

angle abq=139 degrees

bcr=41

Answer:

The volume of each cylinder is given by the formula: V = πr^2h, where r is the base radius and h is the height of the cylinder.

When 25 cylinders are put into the half-filled container, the water level rises to the top of the container, which means that the total volume of the 25 cylinders is equal to the volume of the container. Let's assume the volume of the container is V_container.

So, 25 * πr^2 * h = V_container

Dividing both sides by 25πh gives: r^2 = V_container / (25πh)

Taking the square root of both sides gives: r = √(V_container / (25πh))

Since h = 10 cm, we can substitute this value in the formula above: r = √(V_container / (25π * 10))

Since r is the base radius of the cylinder, it must be positive. So, the final equation becomes:

r = √(V_container / (25π * 10)) cm = 5√(5/π) cm. shown

By using 3.14 for the value of π, we can calculate the value of r:

r = 5√(5/π) = 5√(5/3.14) = 5 * √(5/3.14)

= 5 * √(1.5873) = 5 * 1.259 = 6.295 cm (rounded to the first decimal place)

So, the base radius of the cylinder is approximately 6.3 cm.

Answer:

x=3.50

Step-by-step explanation:

6(x+7.50)=4(2x+9.50)

6x+45=8x+38

6x-8x=38-45

-2x = -7

x = -7/-2

x = 3.50

Answer:

104 ;108;112;116;120;124;128;132;136 ;140;144;148

Answer:

104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148

Step-by-step explanation:

A multiple of 4 can generally be defined as divisible by 4.

We can define an equation for it: \(4n\) where n is an integer.

From here we can see that if n=25, we have a number of 100 which indeed is a multiple of 4 since dividing it by 4 results in 25 which makes sense since 100 is the result of 4 * 25.

Now starting from 100 (excluding 100 since between 100 and 150), or n=25, we can increase the value of the number by 4, or n by 1 which is doing the same thing.

So start at 100, then 100+4 = 104, then 104+4=108 and so on... until you reach a number greater than or equal to 150, and if it is 150 make sure to exclude it since it says between 100 and 150 which implies it's excluding the end points.

This gives us a result of: 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148

Answer:

9cm 5:9

Step-by-step explanation:

The answer is:

\(\large\textbf{They aren't equivalent.}}\)

In-depth explanation:

To determine the answer to this problem, we will use one of the exponent properties:

\(\sf{x^{-m}=\dfrac{1}{x^m}}\)

And

\(\sf{\dfrac{1}{x^{-m}}=x^m}\)

Now we apply this to the problem.

What is 4⁻³ equal to? Well according to the property, it's equal to:

\(\sf{4^{-3}=\dfrac{1}{4^3}}\)

And this question asks us if 4⁻³ is the same as 1/4⁻3.

Well according to the calculations performed above, they're not equivalent.

By using Pythagoras' theorem, triangle 3 and 4 is a right triangle, and others are not.

What is the triangle?

A triangle is a three-sided polygon with three vertices. The angle produced within the triangle is 180 degrees.

What is right-angled triangle?

A right-angled triangle is one with one of its interior angles equal to 90 degrees, or any angle is a right angle.

According to the given information:

The Pythagorean theorem states that " In a right-angled triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides"

Let's check fig (3)

\(15^{2} =12^{2} +9^{2}\)

225 = 144 + 81

225 = 225

both sides are equal, Therefore it is a right-angled triangle.

Let's check fig (4)

\(48.5^{2}=39^{2}+32.5^{2}\)

2352.25 = 1521 + 1056.25

2352.25 ≠ 2577.25

Both sides are not equal, Therefore it is not a right-angled triangle.

Let's check fig (5)

\(11^{2}=9^{2}+\sqrt{115} ^{2}\)

121 = 81 + 115

121 ≠ 196

Both sides are not equal, Therefore it is not a right-angled triangle.

Let's check fig (6)

\(16^{2} = 10^{2} + (2\sqrt{39}) ^{2}\)

256 = 100 + 156

256 = 256

both sides are equal, Therefore it is a right-angled triangle.

Hence figure 3 and 6 is right angle triangle, others are not.

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If two lines intersect, then the vertical angles formed must be both equal in measure.

The  intersection of a line can be described as when two or more lines cross each other in a plane as a result of this they are been referred to as   intersecting lines.

Therefore, intersecting lines share a common point, hence , If two lines intersect, then the vertical angles formed must be both equal in measure.

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Answer:

B

Step-by-step explanation:

Let t and d be their ages now.

2 years ago, their ages were t - 2 and d  2.

Now, Tyler is 3 years older than David: t = d + 3

2 years ago, Tyler was 4 times as old as David: t - 2 = 4(d - 2)

The system of equations is:

t = d + 3

t - 2 = 4(d - 2)

Answer: B

Answer:

D

Step-by-step explanation:

Answer:

yeah i believe thats the right answer thats what i got anyways

Step-by-step explanation:

good job!

Answer:

You are correct

Step-by-step explanation:

Good job and hope this helps

Answer:c=3200

Step-by-step explanation:

2800+c<=6000

2800-2800+c<=6000-2800

c=3200

To stay within budget, all other costs  must be no more than $3200

Calculation

⇒ B ≤ $6000

⇒ C ≤ Budget - the cost of transportation

⇒ C ≤ $6,000 - $2,800

⇒ C ≤ $3,200

Hence, to stay within the budget, all other costs must be below $3,200

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The time taken by the jet will be equal to 6.58 hours.

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.

Given that:-

The time taken by the jet will be calculated as:-

Average speed = 525 - 150 = 375 miles per hour.

The time is taken to cover the distance of 2468 miles will be:-

Time = 2468 / 375 = 6.58 hours.

Therefore time taken by the jet will be equal to 6.58 hours.

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Answer:

Step-by-step explanation:

Simplifying

2x + -8y = 56

Solving

2x + -8y = 56

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8y' to each side of the equation.

2x + -8y + 8y = 56 + 8y

Combine like terms: -8y + 8y = 0

2x + 0 = 56 + 8y

2x = 56 + 8y

Divide each side by '2'.

x = 28 + 4y

Simplifying

x = 28 + 4y

Answer:

x = -17

Step-by-step explanation:

We need to subtract 15 from both sides (so that x can be by itself) and when we do so we get x = -2 - 15 = -17.

Answer:

x=-17

Step-by-step explanation:

15+x=-2

Subtract 15 from both sides

15+x=-2

-15      -15

---------------

     x=-17

A function assigns the values. The correct options are A, C, and D.

What does a math function mean?

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable).

The statements that are true about the two functions g(x)=(−1/4)x² and f(x)=x² are,

A. g is wider than f.

C. f and g have the same vertex.

D. f and g have the same axis of symmetry.

Hence, the correct options are A, C, and D.

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The complete question is -

Select all the statements about the graphs of functions g(x) = –14 x² and f(x) = 2x that are true.

A. f and g have the same x-intercept(s).

B. f and g have the same end behavior.

C. f and g have the same domain.

D. f and g have symmetry about the origin.

E. f and g have the same y-intercept.

Answer:

$7,428.46

Step-by-step explanation:

A = 7000(1 + .02)³

A = 7000(1.02)³

A = 7000(1.0612)

A = $7,428.46

The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin⁡(5x)dx. We are given that y=cos(5x)=π/30y=cos⁡(5x)=π/30 and x=0.055x=0.055.

We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:

Δy≈dy≈dy=-5sin(5x)dx

Plugging in the values of y, x, and dxdx, we get:

Δy≈-5sin(5(0.055))(0.005)≈-0.00679

Therefore, the estimated change in yy using differentials is -0.00679.

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Answer:

-4

Step-by-step explanation:

The parametric form can be written as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

A matrix equation of the form \($A\overrightarrow x=0\) is called homogeneous matrix equation.

A matrix equation of the form  \($A\overrightarrow x=\overrightarrow b\) is called non - homogeneous matrix equation.

Given is to find the solution in parametric vector form.

If there are {m} free variables in the homogeneous equation, the solution set can be expressed as the span of {m} vectors :

\($\overrightarrow x=s_{1} \overrightarrow v_{1} + s_{2} \overrightarrow v_{2}+......+s_{m} \overrightarrow v_{m}\)

We have a matrix where {A} is the row equivalent to that matrix -

\(\begin{bmatrix} 1&3&0&-4 \\ 2&6&0&-8 \end{bmatrix}\)

Given matrix can be written in Augmented form as -

\(\left[ \begin{array}{cccc|c} 1&3&0&-4 & 0\\2&6&0&-8&0\\ \end{array} \right]\)

Row Reduced Echelon Form can be obtained using the following steps -

{ 1 } - Interchanging the rows R{1} and R{2}.

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0 \\ 1&3&0 &-4 & 0 \\ \end{array} \right]\)

{ 2 } - Applying the operation R{2} -> 2R{2} - R{1}, to make the second 0.

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0\\1&3&0&-4&0 \\ \end{array} \right] \;\;\;\;\;\;R_2 \rightarrow 2R_2 - R_1\)

\(\left[ \begin{array}{cccc|c} 2 & 6 & 0 & -8 & 0 \\ 0 & 0 & 0 & 0 & 0 \\ \end{array} \right]\)

{ 3 } - Using R{1} -> R{1}/2

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0\\0&0&0&0&0\\ \end{array} \right]  \;\;R_1 \rightarrow \dfrac{1}{2} R_1\)

{ 4 } - Following equation can be deducted as

\(x_1 + 3x_2 - 4x_4 =0\)

{ 5 } - We can write the parametric form as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

Therefore, the parametric form can be written as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

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Answer:

(13.5)/4 = 3.375

step-by-step explanation

The orbit type of the Molniya 1-91 satellite is Molniya orbit, characterized by a highly eccentric orbit inclined at an angle of 63.17 degrees to the Earth's equator. The orbital parameters, namely the semi-major axis (a) and the argument of perigee (ω), are required to determine the satellite's position and velocity vectors.

a) The Molniya 1-91 satellite follows a Molniya orbit, which is a type of highly eccentric orbit designed to provide extended dwell time over high latitudes. This orbit is characterized by a high inclination angle of 63.17 degrees with respect to the Earth's equator. Molniya orbits are commonly used for communication satellites that serve polar regions, as they spend a significant portion of their orbit over these areas.

b) To determine the orbital parameters of the Molniya 1-91 satellite, we need to extract the relevant information from the two-line element set. The semi-major axis (a) is not directly provided in the given data. However, we can calculate it using Kepler's third law and the mean motion (n) derived from the second line of the TLE. The argument of perigee (ω) is given as 281.6462 degrees in the TLE. These parameters, along with other orbital elements, are crucial for describing the satellite's orbit.

c) To calculate the position and velocity vectors of the Molniya 1-91 satellite in the geocentric equatorial coordinate frame, we need additional information. The TLE only provides elements related to the orbit's shape and orientation, not the satellite's current position and velocity. Position and velocity vectors can be determined by solving the equations of motion using the orbital parameters and mathematical models of celestial mechanics. However, without up-to-date information on the satellite's time and date, it is not possible to calculate these vectors accurately.

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\(\{2,3\}\) is a set containing two elements - numbers 2 and 3

\(\{\{2,3\}\}\) is a set containing one element - a set \(\{2,3\}\)

The cube root of 60 is 3.87 approximately.

Step by step solution:

We can calculate the cube root by Halley's method:

The  formula is \(\sqrt[3]{a} = x ((x^{3} + 2a)/(2x^{3} + a))\)

where,

a = number whose cube root is being calculated

x = integer guess of its cube root.

Here a = 60,

Suppose x as 3

[∵ 3³ = 27 and 27 is the nearest perfect cube that is less than 60]

⇒ x = 3

Therefore,

∛60 = 3 (3³ + 2 × 60)/(2 × 3³ + 60)) = 3.87

⇒ ∛60 ≈ 3.87

Therefore, the cube root of 60 is 3.87 approximately.

Here ,  ∛60 is irrational because it cannot be expressed in the form of p/q where q ≠ 0.

Therefore, the value of the cube root of 60 is an irrational number.

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