Please help me i don get it please show your work I will give brainyleast

The equation that is false is the one in option B,

\((x^{3/5})^{1/2} = \sqrt[3]{x^{10}}\)

An equation is false if the thing in the left side is different than the thing in the right side.

Now, remember the exponent rules:

\((x^a)^b = x^{a*b}\\\\x^{1/n} = \sqrt[n]{x}\)

Now let's go to the second option, the expanding the thing we have in the left side we will get:

\((x^{3/5})^{1/2} = x^{3/5*1/2} = x^{3/10} = \sqrt[10]{x^3}\)

Now, this is different of the thing we can see in option B, so we conclude that B is the false equation.

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Answer:

1,000,000,000,000,001,111,111

The probability that the lifetime of at least one component exceeds 2 is 0.135.

Given that the joint pdf is f(x,y)=xe^(-x(1+y)) for x≥0, y≥0 and 0 otherwise as shown in attached image.

We want to find the probability that the lifetime of at least one component exceeds 2.

The probability that the lifetime of at least one component exceeds 2 is P(X>2).

\(\begin{aligned}P(X > 2)&=\int_{x=2}^{\infty}\int_{y=0}^{\infty}f(x,y)dydx\end\)

Now, we will substitute the given function, we get

\(\begin{aligned}P(X > 2)&=\int_{x=2}^{\infty}\int_{y=0}^{\infty}xe^{-x(1+y)}dydx\end\)

Further, we will simplify this, we get

\(\begin{aligned}P(X > 2)&=\int_{x=2}^{\infty}\left[-e^{-x(1+y)\right]_{0}^{\infty}dx\\ &=\int_{x=2}^{\infty}e^{-x}dx\\ &=\left[-e^{-x}\right]_{2}^{\infty}\\ &=e^{-2}\\ &=0.135\end\)

Hence, the probability that the lifetime of at least one component exceeds 2 for the joint pdf is f(x,y)=xe^(-x(1+y)) for x≥0, y≥0 and 0 otherwise as shown in attached image is 0.135.

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The statement is true. Therefore, we have shown that \((rA)^{(-1)} = A^{(-1)}/r,\)which implies that \((rA)^{(-1)} = r^{(-1)}\times A^{(-1)\). Hence, \((rA)^{(-1) }= rA^{(-1)\), since r is nonzero.

To prove this, we can start with the definition of the inverse of a matrix:

If A is an invertible matrix, then its inverse, denoted as \(A^{(-1),\) is the unique matrix such that \(A\times A^{(-1)} = A^{(-1)} \times A = I\), where I is the identity matrix.

Now, let's consider the matrix rA, where r is a nonzero scalar. We want to find its inverse, denoted as \((rA)^{(-1)\).

We can start by multiplying both sides of the equation \(A\times A^{(-1)} = I\) by r:

\(rA\times A^{(-1)} = rI\)

Next, we can multiply both sides of this equation by A from the left:

\(rA\times A^{(-1)}A = rIA\\rAI = rA = rA(A\times A^{(-1)})\)

Now, we can use the associative property of matrix multiplication to rearrange the right-hand side of this equation:

\(rA\times(AA^(-1)) = (rAA)\times A^{(-1)}\\rA\times I = (rA)\times A^{(-1)}\\rA = (rA)\times A^{(-1)}\)

Finally, we can multiply both sides of this equation by \((rA)^{(-1)\) from the left to obtain:

\((rA)^{(-1)}rA = (rA)^{(-1)}(rA)\times A^{(-1)}\\I = A^{(-1)}\)

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True, If the zero vector is a solution of the system , then the system is homogeneous.

A system of linear equations is considered homogeneous if the zero vector (i.e., the vector with all components equal to 0) is a solution. This means that the system of equations only has the trivial solution of all variables equal to zero, but no non-trivial solutions.

A homogeneous system of linear equations is a system where all the equations have the same form and all the coefficients are proportional to each other. This means that if one equation is multiplied by a constant, the same constant must be multiplied by all the other equations in the system to maintain the homogeneous property.

The zero vector is a solution of a homogeneous system because if all the variables are equal to zero, all the coefficients in the equations are also equal to zero and the equations are satisfied. This is why the presence of the zero vector as a solution is a defining characteristic of homogeneous systems.

In contrast, a non-homogeneous system is a system where the zero vector is not a solution and there are both trivial (zero) and non-trivial (non-zero) solutions. Non-homogeneous systems are solved using different methods compared to homogeneous systems.

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Answer:

Gustavo used a simulation where the data is quantitative’

In C[-π, π] with the inner product defined by (6), cos(mx) and sin(nx) are shown to be orthogonal. This is proven by evaluating the inner product of the two vectors and demonstrating that it equals zero. Furthermore, both cos(mx) and sin(nx) are unit vectors, as their norms are found to be equal to √(π). Finally, the distance between the two vectors is determined to be √(2π).

To show that cos(mx) and sin(nx) are orthogonal in C[-π, π] with the inner product defined by (6), and to determine their unit vectors and the distance between them, we can follow these steps:

First, let's define the inner product in C[-π, π] as follows:

(6) ⟨f, g⟩ = ∫[-π, π] f(x)g(x) dx

To show orthogonality, we need to prove that the inner product of cos(mx) and sin(nx) is zero. We have:

⟨cos(mx), sin(nx)⟩ = ∫[-π, π] cos(mx)sin(nx) dx

Using the trigonometric identity sin(A)cos(B) = (1/2)[sin(A + B) + sin(A - B)], we can rewrite the above integral as:

⟨cos(mx), sin(nx)⟩ = (1/2) ∫[-π, π] [sin((m+n)x) + sin((m-n)x)] dx

Since the sine function is an odd function, the integral of an odd function over a symmetric interval is always zero. Therefore, both terms in the above integral evaluate to zero individually:

∫[-π, π] sin((m+n)x) dx = 0

∫[-π, π] sin((m-n)x) dx = 0

Thus, ⟨cos(mx), sin(nx)⟩ = 0, which proves that cos(mx) and sin(nx) are orthogonal.

Next, let's determine their unit vectors. The norm or length of a vector f(x) in C[-π, π] is defined as ||f(x)|| = √(⟨f, f⟩). For cos(mx), we have:

||cos(mx)|| = √(⟨cos(mx), cos(mx)⟩)

= √(∫[-π, π] cos^2(mx) dx)

Using the trigonometric identity cos^2(A) = (1/2)(1 + cos(2A)), we can rewrite the integral as:

||cos(mx)|| = √((1/2) ∫[-π, π] [1 + cos(2mx)] dx)

= √(π)

Similarly, for sin(nx), we have ||sin(nx)|| = √(π).

Therefore, both cos(mx) and sin(nx) are unit vectors.

Finally, to determine the distance between the two vectors, we can use the formula: d(f, g) = ||f - g||. In this case, it becomes:

d(cos(mx), sin(nx)) = ||cos(mx) - sin(nx)||

= √(⟨cos(mx) - sin(nx), cos(mx) - sin(nx)⟩)

Expanding and simplifying the above expression, we get:

d(cos(mx), sin(nx)) = √(2π - 2∫[-π, π] cos(mx)sin(nx) dx)

= √(2π)

Therefore, the distance between cos(mx) and sin(nx) is √(2π).

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I don't know I don't know I don't know I don't know I don't know I don't know I don't know

False, Solver does not always find the best possible solution among all feasible options when solving a linear optimization model with the Simplex LP Method.

The Simplex LP Method is an iterative algorithm used to solve linear programming problems. While the Simplex algorithm is guaranteed to converge to an optimal solution if one exists, it does not necessarily find the best possible solution among all feasible options.

The Simplex LP Method works by moving from one vertex of the feasible region to another, improving the objective function value at each step until it reaches an optimal solution. However, the feasible region of a linear programming problem can be non-convex, which means there may be multiple local optima. The Simplex algorithm may get stuck at a local optimum and fail to find the global optimum.

In addition, the Simplex algorithm can be sensitive to the initial basis and the choice of pivot rule. Different choices can lead to different optimal solutions. It is possible for the Simplex algorithm to find a locally optimal solution that is not the best possible solution among all feasible options.

Therefore, it is not accurate to say that Solver always finds the best possible solution when using the Simplex LP Method. The result obtained from the Solver should be carefully examined and verified to ensure its optimality.

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Answer:

The correct option is the last one(mStep-by-step explanation:

Segment BF bisects the angle ABC.

This means that the measures of angles FBC and ABF is the same, and the sum of them is the measure of angle AEC. Also, it means that each of these angles is half of AEC.

So, the correct option is the last one

Answer:

y = 8.7

Step-by-step explanation:

Assuming we can use decimal places, y is equal to 8.7.

In programming, += is often used as a substitute for y = y + x (example)

Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7

This fraction gets smaller as m gets larger (holding n fixed), so a larger set A makes it less likely that a random binary relation from A to B will be a function.

a. To define a binary relation from A to B, we need to specify whether or not each ordered pair of elements in A and B is in the relation. Since there are m choices for the first element of each ordered pair, and n choices for the second element, there are a total of m × n possible ordered pairs. Therefore, there are 2^(mn) possible binary relations from A to B, since each ordered pair can either be in or not in the relation.

b. A function from A to B is a special kind of binary relation, where each element in A is paired with exactly one element in B. Therefore, to specify a function, we must choose an element of B for each of the m elements of A. For the first element of A, we have n choices, for the second element of A, we have n - 1 choices (since we cannot choose the same element as we did for the first element), and so on, until we get to the mth element of A, for which we have n - (m - 1) = n - m + 1 choices. Therefore, the total number of functions from A to B is given by:

n(n - 1)(n - 2) ... (n - m + 1) = n!/(n - m)!

c. Since a function is a binary relation where each element in A is paired with exactly one element in B, it follows that there are n possible choices for the second element of each ordered pair. Therefore, the fraction of binary relations that are functions is given by:

number of functions / total number of binary relations

= n!/(n - m)! / 2^(mn)

= n! / (n - m)! / (2^m)^n

= n! / (n - m)! / (2^m * n)^m

This fraction gets smaller as m gets larger (holding n fixed), so a larger set A makes it less likely that a random binary relation from A to B will be a function.

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Answer:

less than

Step-by-step explanation:

The solution to the equation 2(t - 5) = 48 is t = 29.

To solve the equation 2(t - 5) = 48, we can use the following steps:

Distribute the 2 to the terms inside the parentheses:

2t - 10 = 48

Add 10 to both sides of the equation to isolate the variable term:

2t = 58

Divide both sides of the equation by 2 to solve for t:

t = 29

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Step-by-step explanation:

the slope of each line is -3, because they are the same they are parallel

Answer:

1742 is divided by 2.16 than answer is 418.75

Using the compound interest formula, we know that $7,672 is the interest on investments earned.

The yearly interest rate is raised to the number of compound periods minus one, and the starting principal amount is multiplied by both of these factors.

The resulting value is subsequently deducted from the loan's entire original amount.

So, interest earned on investment:

A = 9,875 (1 + 0.048/12)^ 12(12)

A = $ 15,547

Interest on investments is the money received:

= $ 15,547 - $ 9,875

= $ 7,672

Therefore, using the compound interest formula, we know that $7,672 is the interest on investments earned.

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Complete question:

An investment of $9,875 earns 4.8% interest compounded monthly over 12 years. approximately how much interest is earned on the investment?

a. $4,740

b. $7,458

c. $7,672

d. $17,567

To show that f(A)+f(B)=f(AB/A+B) for f(x)=1/x:

We start by evaluating each side of the equation:

f(A)+f(B)=1/A+1/B=(B+A)/(AB)

f(AB/A+B)=1/(AB/(A+B))=(A+B)/(AB)

Both expressions simplify to (A+B)/(AB), so f(A)+f(B)=f(AB/A+B) is verified.

Given h(x)=(√x+5)⁴, we need to find functions f(x) and g(x) such that h(x)=f∘g(x).

Let's work backwards to find g(x):

g(x)=√x+5

Now, let's find f(x):

f(x)=x⁴

Substituting g(x) into f(x), we have:

f(g(x))=(g(x))⁴=(√x+5)⁴=h(x)

Therefore, we have found f(x)=x⁴ and g(x)=√x+5 such that h(x)=f∘g(x).

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Answer:

pretty sure its -1/2x is the slope and if not do the inverse of it

Answer:

B.

Step-by-step explanation:

x^4

please mark brainliest

\((x)(x)(x)(x)\\\\=x^{1+1+1+1} ~~~ ;[x^a \cdot x^b = x^{a+b}]\\\\=x^4\)

Answer:

x<-2

Step-by-step explanation:

17+4x<9

4x<-8

x<-2

The solution is:

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

Make sure that all constants are on the right:

\(\bf{4x < 9-17}\)

\(\bf{4x < -8}\)

Divide each side by 4:

\(\bf{x < -2}\)

Answer:

Step-by-step explanation:

The reference angle is given as 63 degrees. The sides in question, x and 1, are adjacent to and opposite of this angle, respectively. The trig ratio that utilizes the sides adjacent to and opposite of angles is the tangent ratio; namely:

\(tan(63)=\frac{1}{x}\) and rearrange algebraically to get

\(x=\frac{1}{tan(63)}\) to get

x = .5

The function rule for this question is d = 90t.

The rate of the cheetah is given as 90 feet per second. The distance travelled by the cheetah is a function of seconds travelled. Let the distance be denoted as d and the time be denoted as t. The function is therefore a linear function of the form y = mx + b.

The equation can be expressed as d = 90t + b. The constant b is the initial distance travelled at time zero since the rate is constant. Therefore, b is zero when the time is zero. The final equation is given as follows: d = 90t, where d is the distance travelled, t is the time and 90 is the rate or speed of the cheetah.

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Answer:

The answer is -512

Step-by-step explanation

8*8*8= 512 and the cube root of 512 is 8 and the cube root answer is negative so 512 is negative

Answer:

Step-by-step explanation:

25 favors ... $62.50

60 favors ... $x = ?

If you would like to know how much do the supplies for 60 favors cost, you can calculate this using the following steps:

25 * x = 60 * 62.50

25 * x = 3750    /25

x = 3750 / 25

x = $150

Result: The supplies for 60 favors cost $150.

The length of the short leg is 4.5, of the long leg is 9.5 and of the hypotenuse is 10.5, respectively.

In this question we find a representation of a right triangle whose hypotenuse has a length of x + 6 and legs have lengths of x and x + 5, respectively. These side lengths are used in the Pythagorean theorem:

(x + 6)² = x² + (x + 5)²

Now we expand the expression and clear the variable x within the expression:

x² + 12 · x + 36 = 2 · x² + 10 · x + 25

x² - 2 · x - 11 = 0

(x - 1 - 2√3) · (x - 1 + 2√3) = 0

Since x must a non-negative value, then the lengths of each side are, respectively:

Leg 1

x = 1 + 2√3

x ≈ 4.5

Leg 2

x + 5 = 6 + 2√3

x ≈ 9.5

Hypotenuse

x + 6 = 7 + 2√3

x ≈ 10.5

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The given expression's quotient is \(-\frac{m^{12}n^6}{2}\).

Exponential expressions are simply a shorthand way of writing powers. The exponent indicates how many times that base has been used as a factor to multiply. So, in the case of 32, it is 2x2x2x2x2x2 = \(2^5\), where 2 is the "base" and 5 is the "exponent." This expression is translated as "two to the fifth power." In general, an=axaxax...xa(n times), where 'a' is the base and 'n' is the exponent, will be read as "a to the nth power."

Given that the exponential expression is \(\frac{2m^9n^4}{-4m^{-3}n^{-2}}\)

The given expression's quotient is

\(=\frac{2m^9n^4}{-4m^{-3}n^{-2}}\\\\\frac{1}{a^x}=a^{-x}\\\\=\frac{m^9n^4m^{3}n^{2}}{-2}\\\\=\frac{m^{9+3}n^{4+2}}{-2}\\\\=\frac{m^{12}n^6}{-2}\\\\=-\frac{m^{12}n^6}{2}\)

As a result, the given expression's quotient is\(-\frac{m^{12}n^6}{2}\).

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Answer:

This is really hard, but what you marked is CORRECT, it is the second option :D

Mark brainliest please ;P