Find for the equation below. 7x^3 + 3y^2 = 7 Find dy / dt for the equation below. 7x^3 + 3y^2 = 7

Answer:

he cut 5 strings to pull it out

The statement about the system of of equations that are true are as follows:

The system of equation can be solved as follows;

2x - 7y = - 13

2x + 11y = 1

18y = 14

y = 14 / 18

y = 7 / 9

2x  = 1 - 11(7 / 9)

2x = 1 - 77 / 9

2x = 9 - 77 / 9

2x = -68 / 9

cross multiply

18x = -68

x = -68 / 18

x = -34 / 9

Hence, the statement about the system of of equations that are true are as follows:

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1/4 cinnamon was left, so 3/4 was used.

1/3 nutmeg was left, so 2/3 was used

1/2 of ginger was left so 1/2 was left

5/8 of pumpkin was left so 3/8 was used.

Corey's was used the most, 3/4 is the largest used, so Corey had the cinnamon.

Laura's was used least, 3/8 is the smallest amount so Laura had the pumpkin.

2/3 is more then 1/2, so there was more ginger used than nutmeg.

More of Paige's was used, so Paige had the ginger.

The correct answer is Equality holds in the Schwarz inequality if and only if the vectors u and v are linearly dependent.

The Schwarz inequality states that for any two vectors u and v in an inner product space, the following inequality holds:

|⟨u, v⟩| ≤ ||u|| ||v||,

where ⟨u, v⟩ represents the inner product of u and v, ||u|| is the norm (length) of vector u, and ||v|| is the norm of vector v.

Equality holds in the Schwarz inequality if and only if the two vectors u and v are linearly dependent, meaning one vector is a scalar multiple of the other. In other words, if there exists a scalar k such that u = kv or v = ku, where k is a nonzero scalar.

To prove this:

Suppose u and v are linearly dependent, i.e., u = kv for some nonzero scalar k.

Take the inner product of u and v:

⟨u, v⟩ = ⟨kv, v⟩

Apply linearity of the inner product:

⟨u, v⟩ = k⟨v, v⟩

Take the norms on both sides:

|⟨u, v⟩| = |k⟨v, v⟩|

Since k is nonzero, we can cancel it out:

|⟨u, v⟩| = |k| |⟨v, v⟩|

Notice that |k| is the absolute value of the scalar k, and ⟨v, v⟩ is the inner product of v with itself, which is a nonnegative value. So, we have:

|⟨u, v⟩| = |k| |⟨v, v⟩| = k \(||v||^2\)

Since k is nonzero, the inequality becomes an equality:

|⟨u, v⟩| = k ||v||^2 = ||u|| ||v||

This shows that equality holds in the Schwarz inequality when u and v are linearly dependent.

Conversely, if equality holds in the Schwarz inequality, then we can reverse the steps above to show that u and v must be linearly dependent. Therefore, linear dependence is the necessary and sufficient condition for equality in the Schwarz inequality.

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Answer:

x=20, g=100, f=80

Step-by-step explanation:

when ever somthing is suplementary it means the the answer will euqal to 180 degrees. That means your equation is going to be

3x+40+5x-20=180

8x+20=180

8x=160

x=20

Finding g

3(20)+40

60+40

g=100

FInding f

5(20)-20

100-20

f=80

A set of values for the decision variables that satisfy all the constraints and yields the best objective function value is a feasible solution that optimizes the objective function.

In optimization problems, decision variables are the quantities that we can control or adjust to achieve a desired outcome. Constraints are the limitations or conditions that these decision variables must satisfy. The objective function represents the goal or objective we want to optimize.

A feasible solution refers to a set of values for the decision variables that satisfy all the given constraints. This means that the solution meets all the specified requirements and does not violate any constraints. However, there can be multiple feasible solutions that meet the constraints.

Among these feasible solutions, the one that yields the best objective function value is the optimal solution. The objective function value is a measure of how well the solution aligns with the desired objective. The goal is typically to maximize or minimize this objective function value, depending on the problem.

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Answer:

-20

Step-by-step explanation:

Hi

The value of the expression is a decimal -17.33.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

0.3x = -5 - (-0.4 - (-0.6))

0.3x = -5 - (-0.4 + 0.6)

0.3x = -5 - 0.2

0.3x = -5.2

x = -5.2/0.3

x = -17.33

Thus,

The value of x is -17.33.

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Answer:

mode in class 8A = 157 cm

mode in class 8B = 176 cm

median in class 8B = 165 cm

range in class 8A = 173-148= 25 cm

• many students class 8A are taller than class 8B

• the tallest student is in class 8B

The equation of the line perpendicular to our supplied line is represented by the equation y = 3/2x - 11.

A straight line's general equation is y = MX + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis.

On the y-axis, this value c is referred to as the intercept.

So, we have the points (8, 1).

The given equation is y = 2/3x + 5.

We are aware that a perpendicular line's slope is the negative reciprocal of the provided line's slope.

As a result, the slope of the line perpendicular to line y = 2/3x + 5 will be equal to the reciprocal of -2/3.

Negative reciprocal of -2/3 = -(-3/2)

Negative reciprocal of -2/3 =3/2

When we enter the coordinates of the location (8, 1) and m = 3/2 into the slope-intercept form of the equation, we get:

1 = 3/2 * 8 + b

1 = 3 * 4 + b

1 = 12 + b

1 - 12 = 12 - 12 + b

- 11 = b

Therefore, the equation of the line perpendicular to our supplied line is represented by the equation y = 3/2x - 11.

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Answer:

-1/2

Step-by-step explanation:

To find the slope

m = (y2-y1)/(x2-x1)

m= (-4 -1)/(0- - 10)

   = (-4-1)/(0+10)

   = -5/10

= -1/2

Answer:

D

Step-by-step explanation:

hope this helps

To determine the voltages at the inner nodes of a finite difference network for the given wall in the figure, we need to solve the system of equations derived from applying Kirchhoff's laws.

By assigning variables to the unknown voltages at the inner nodes, we can set up a set of simultaneous equations based on the resistances and current sources in the network. Solving this system of equations will yield the values of the voltages at the inner nodes. To find the voltages at the inner nodes of a finite difference network for the depicted wall, we use Kirchhoff's laws and assign variables to the unknown voltages. The resistances and current sources in the network are used to set up a system of simultaneous equations. Solving this system of equations will provide us with the desired voltage values.

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Answer:

my answer is A

Step-by-step explanation:

if you work out the equation where you know that at the x intercept y=0 you will find A to be true

If the length of a rectangular garden is twice its width, and the garden is surrounded by a rectangular concrete walk having a uniform width of 4 feet, and the area of the garden and the walk is 330 square feet, then the dimensions of the garden are 10 feet by 20 feet.

The length of a rectangular garden is twice its width, so if we let the width be x, then the length is 2x. The area of the garden is the length times the width, so it is 2x*x = 2x².Now let's add the width of the walk to the dimensions of the garden, so the width of the garden plus the walk is x + 8, and the length plus the walk is 2x + 8. The area of the garden plus the walk is the length plus the walk times the width plus the walk, so it is (x + 8)(2x + 8).

According to the problem, the area of the garden plus the walk is 330 square feet. We can set up an equation to solve for x:(x + 8)(2x + 8) = 330Simplifying and solving for x, we get:x² + 10x - 29 = 0(x + 13)(x - 3) = 0x = -13 or x = 3Since the width of the garden cannot be negative, we must take x = 3. Then the length of the garden is 2x = 6, and the dimensions of the garden are 3 feet by 6 feet.

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Answer:

\(Area =351 cm^{2}\)

Step-by-step explanation:

The formula for the area of a triangle is:

\(Area = \frac{1}{2} bh\)

We can plug in the given values:

\(Area = \frac{1}{2} (26)(27)\\Area = 13(27)\\Area =351 cm^{2}\)

Answer:

351 cm^2

Step-by-step explanation:

The linearly independent solution of the non-homogeneous equation is y = y-c + y-p, y = c1×(x²(-1/2)cos(x)) + c2×(x²(-1/2)sin(x)) + (8/35)×x²(3/2) + (2/35)×x²(-1/2) where c1 and c2 are arbitrary constants.

The associated homogeneous equation is: x²2y'' + xy' + (x²2 - 1/4)y = 0

The complementary solution can be found by assuming y has the form y-c = c1y1 + c2y2, where c1 and c2 are constants, and y1 and y2 are the given linearly independent solutions.

y-c = c1×(x²(-1/2)cos(x)) + c2×(x²(-1/2)sin(x))

Now, the particular solution, denoted as y-p, of the non-homogeneous equation.

y-p has the form:

y-p = Ax²(3/2) + Bx²(-1/2)

where A and B are constants to be determined.

The first and second derivatives of y-p:

y-p' = A×(3/2)x²(1/2) - (1/2)Bx²(-3/2)

y-p'' = A(3/4)×x²(-1/2) + (3/4)Bx²(-5/2)

Substituting these into the non-homogeneous equation:

x²2y_-p'' + xy-p' + (x²2 - 1/4)×y-p = x²(3/2)

x²2×(A×(3/4)x²(-1/2) + (3/4)Bx²(-5/2)) + x(A×(3/2)x²(1/2) - (1/2)Bx²(-3/2)) + (x^2 - 1/4)(Ax²(3/2) + Bx²(-1/2)) = x²(3/2)

Simplifying and collecting like terms:

(3A/4)x²(3/2) + (3B/4)x²-1/2) + (3A/2)x²(3/2) - (1/2)Bx²(3/2) + (A - (1/4))x²(5/2) + (B/4)x²(1/2) - (A/4)x²(-1/2) + Bx²(-3/2) = x²(3/2)

Matching the coefficients of like powers of x:

[(3A/4) + (3A/2) - (1/2)B]x²(3/2) + [(3B/4) + (B/4)]x²(-1/2) + [(A - (1/4))]x²(5/2) + [(-A/4) + B]x²(-1/2) + [B/4]x²(-3/2) = x²(3/2)

Equating the coefficients of x²(3/2) on both sides:

(3A/4) + (3A/2) - (1/2)B = 1

(9A/4) - (1/2)B = 1

Equating the coefficients of x²(-1/2) on both sides:

[(3B/4) + (B/4)] - (A/4) = 0

(4B/4) - (A/4) = 0

Simplifying the equations:

(9A - 2B) = 4

4B - A = 0

Solving these equations simultaneously ,A = 8/35 and B = 2/35.

Therefore, the particular solution is: y-p = (8/35)×x²(3/2) + (2/35)×x²(-1/2)

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From Daniel's initial location from the campsite given the width of the

stream is 400 feet and Daniel swims to the boat ramp, we have;

1.) Please find attached the drawing of the situation

2.) 3.34 minutes

3.) 1,298.59 feet

4.) 3.69 minutes

1.) Please find attached a labelled diagram of the scenario created with MS Visio

2.) Daniel's average swimming rate (speed) = 150 feet per minute

\(The \ distance \ Daniel \ swims = \mathbf{\dfrac{400 \, feet}{sin(53^{\circ})}} \approx 500.85 \, feet\)

The time it takes him to swim to the boat ramp, t, is therefore;

3.) The distance, d₁, downstream of the boat ramp from Daniel is given as follows;

d₁ = √((500.85 feet)² - (400 feet)²) ≈ 301.41 feet

Therefore;

The distance from the boat ramp to the campsite, d₂, is therefore;

d₂ ≈ 1600 feet - 301.41 feet = 1,298.59 feet

The distance from the boat ramp to the campsite, d₂ ≈ 1,298.59 feet                              

4. The time, t₂, it will take Daniel to jog from the boat ramp to the campsite is given as follows;

\(t_2 = \mathbf{\dfrac{d_2}{v_2}}\)

Where;

v₂ = The rate at which Daniel can jog, which is 4 mph

Which gives;

\(t_2 = \mathbf{\dfrac{1298.59 \, feet}{4 \, mph}} = \dfrac{1298.59 \, feet}{4 \, mph} \approx \dfrac{1298.59 \, feet}{5.866142 \ feet/s} \approx \dfrac{221.37 \, s}{60 \, s/min} \approx 3.69 \, min\)

Therefore;

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=>(hypotenuse)^2=(base)^2+(perpendicular)^2

=>(h)^2=(15)^2+(8)^2

=>(h)^2=289

=>h=√289

=>h=17 yd

Hope it helps you

225+64=289 is your answer

Linda is currently 6 years old. According to the given information, we can write the following equation: x + 18 = 4x

Let's assume Linda's current age is x years. We are given that 18 years from now, Linda will be 4 times older than she is today.

So, 18 years from now, Linda's age will be x + 18.

Now, let's solve this equation to find Linda's current age.

Subtracting x from both sides of the equation gives us:

18 = 3x

Dividing both sides of the equation by 3 gives us:

x = 6

Therefore, Linda is currently 6 years old.

To verify our solution, we can check if 18 years from now Linda will be 4 times older than she is today:

6 + 18 = 24

4 * 6 = 24

As both sides of the equation are equal, our solution is correct.

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Point estimators have their drawbacks, such as virtually certain error, lack of capacity to reflect larger sample sizes, and inability to infer population data.

Point estimators are useful for obtaining a single value that estimates a population parameter. However, these estimators are not always accurate as it is virtually certain that the estimate will be wrong. Additionally, point estimators are not able to reflect the effects of larger sample sizes, which means that drawing inferences about a population from a larger sample is not possible. Therefore, when using point estimators, it is important to keep in mind their limitations and use other estimation methods to achieve more accurate results.

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False. The columns of matrix P are not necessarily eigenvectors of matrix A. While the diagonal matrix D contains the eigenvalues of A, the eigenvectors are not explicitly determined by the columns of P.

False. The columns of matrix P are not guaranteed to be eigenvectors of the transpose of matrix A (A.T).

In the given equation, \(a = PDP^(-1),\)

where D is a diagonal matrix and P is an invertible matrix.

The diagonal elements of D represent the eigenvalues of matrix A, while the columns of P correspond to the eigenvectors of A.

When considering the transpose of matrix A (A.T), we have \((A.T) = (PDP^(-1)).T = (P^{(-1)})^T D^T P^T.\)

Taking the transpose of a product involves reversing the order of the matrices and transposing each matrix individually.

Therefore, we have \((A.T) = P^T D^T (P^{(-1)})^T.\)

Since P is an invertible matrix, its transpose \(P^T\) is also invertible. Similarly, the transpose of the inverse of \(P, (P^{(-1)} )^T,\) is also invertible.

However, the key point is that the diagonal matrix\(D^T\) is not guaranteed to have the same eigenvalues as matrix A.

The eigenvalues of A are present in D, but they may not remain on the main diagonal after transposing.

Thus, the columns of matrix P, which correspond to the eigenvectors of A, may not necessarily be the eigenvectors of A.T.

In conclusion, the statement is false.

The columns of matrix P do not have to be eigenvectors of the transpose of matrix A (A.T).

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Draw the triangle with required dimension.

Determine the length of side EY by using the trigonometry.

Thus option B is correct.

g(0) = 3

g(0): The value of g(x) when x = 0

This means we will substitute x in g(x) with 0

Answer:

71

Step-by-step explanation:

4, 7, 12, 21, 38, ...

next term:

nth term:

Answer:

10

Step-by-step explanation:

anything below 5 is to the nearest tenth below

Answer:

10

Step-by-step explanation:

Program State Model describes a precise mathematical description of the semantics of an executing program.

This model is used to illustrate how the program executes and to determine its behavior. It is composed of three components: states, transitions, and actions. A program state is a snapshot of the program's state at a particular point in its execution. It includes the values of variables and other resources. Transitions are the changes that occur between states, and are caused by the execution of instructions. Finally, actions are the operations that are performed by the program as it transitions from one state to the next. All of these components together provide a mathematical model for understanding the behavior of a program.

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Answer:

The answer is c because 5 is not dotted anywhere?????

Balloon's altitude = 43.7ft as

change in altitude/500 = tan 5°  

change in altitude = .0875*500

                              =43.7ft