Find the product and simplify
-2k³ (-3k4 + 5k - 5)

Answer:

25.93%

Step-by-step explanation:

Percent change formula is \(\frac{(V_2-V_1)}{|V_1|}\)x 100

v2 = value 2

v1 = Value 1

now you substitute in.

\(\frac{68-54}{|54|}\)x 100

\(\frac{14}{54}\)x100

0.259259x100

= 25.9259% or 25.93%

Answer:

B

Step-by-step explanation:

My good sir will I lie to you

Note that using the dot plot and the proportion of winners in the store owner’s sample, there is convincing evidence that the manufacturer’s claim is wrong because a proportion of 0.4 or more occurred 25 out of 100 times, the sample proportion of winners is statistically significant and there is convincing evidence that the manufacturer’s claim is false. (Option A)

A dot chart, also known as a dot plot, is a type of statistical chart that consists of data points shown on a very basic scale, generally utilizing filled-in circles. The dot chart has two common but quite distinct variants. The first has been used to show distributions in hand-drawn graphs since 1884.

A dot plot visually arranges the number of data points in a data collection according to their values. This provides a visual representation of the data distribution, comparable to a histogram or probability distribution function.

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Answer:

\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)

\( \frac{x}{4} = - \frac{3}{8} \)

\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.

x/4 + 1/2 = 1/8

Take the 1/2 term on the other side,

x/4=1/8 - 1/2

Taking the LCM on the Right side,

x/4 = (1-4) / 8

x/4 = -3/8

Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,

x = ( -3/8) * 4

x = -3/2

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

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An 8-inch violin string has a frequency of 640 cycles per second using the  inverse variation equation.

Given: A 16-inch violin string is known to vibrate at 320 cycles per second.

We know that,

Using the frequency equation where l for the length of the string and f for the frequency.

f = k/l

320  = k/16

k = 5120

So, the equation becomes f = k/l

For l = 8

f = 5120/8

f = 640

Therefore, the frequency of an 8-inch-long violin string is 640 cycles per second.

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The expression does not have like terms that can be combined, so it remains as is:

4g² + 7ab - 2b²

5x8 - 5 can be simplified as follows:

5x8 - 5 = 40 - 5 = 35

x² - x² - x + 1 can be simplified as follows:

The x² terms cancel out:

x² - x² - x + 1 = -x + 1

6413 - 1 is a subtraction of two numbers:

6413 - 1 = 6412

4g² + 7ab - 2b² can be simplified further:

The expression does not have like terms that can be combined, so it remains as is:

4g² + 7ab - 2b²

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Answer:

the graph is increasing from (-∞,0) and decreasing from (0,∞)

Step-by-step explanation:

By looking at the graph, the graph is increasing from (-∞,0) and decreasing from (0,∞)

The interval from (0,∞) will continue to decrease

Answer:184161240771

Step-by-step explanation:

Calculator

Answer:

184,161,240,771

Step-by-step explanation:

have a nice day!

₊˚ ‧꒰ mei ꒱ ‧₊˚

Answer:

70%

Step-by-step explanation:

7 out of 10 = 70 out of 100

70 out of 100 = 70 percent

Answer:

70%

Step-by-step explanation:

junk mail= 7

Total mail= 10

To find the percentage =7/10=0.7

0.7 multiply by total percentage that is 100% =79%

Answer:

527.6 cubic inches

Step-by-step explanation:

The volume of a cylinder is represented by the formula \(V = \pi r^{2} h\), where r represents the radius of the base and h represents the height.

In this question, the diameter is given as 9 inches. Since the radius is half the diameter, the radius will be 4.5 inches.

Substituting in the values and solving, we get:

\(V =9 \pi (4.5)^{2}\\V = 9\pi(20.25)\\V = 182.25\pi\\V = 572.6\)

The Volume will be 527.6 cubic inches

Answer:

According to the properties of a triangle, all internal angles of a triangle must add up to 180 degrees.

Since we know A and B are 55 degrees and 30 degrees respectively, C = 180-55-30 = 95 degrees.

Thus, the measure of angle C is 95 degrees.

The solution to the given LP problem using the simplex method is: x1 = 2, x2 = 0, z = 8

To solve the LP problem using the simplex method, we need to convert the problem into standard form, which involves introducing slack and surplus variables. The problem can be rewritten as follows:

Minimize z = 4x1 - x2

Subject to:

2x1 + x2 + x3 = 8

x2 + x4 = 5

-x1 + 2x2 - x5 = 4

x1, x2, x3, x4, x5 ≥ 0

The initial tableau for the simplex method is as follows:

markdown

Copy code

    | x1 | x2 | x3 | x4 | x5 | RHS |

Cj | 4 | -1 | 0 | 0 | 0 | |

zj | 0 | 0 | 0 | 0 | 0 | 0 |

CB | 0 | 0 | 0 | 0 | 0 | |

cj-zj | -4 | 1 | 0 | 0 | 0 | |

BV | x1 | x2 | x3 | x4 | x5 | |

We apply the simplex method to find the optimal solution. After performing the iterations and calculations, we find that the optimal solution is:

x1 = 2

x2 = 0

z = 8

The tableau after the final iteration is as follows:

markdown

Copy code

    | x1 | x2 | x3 | x4 | x5 | RHS |

Cj | 4 | -1 | 0 | 0 | 0 | |

zj | 8 | 0 | 0 | 0 | 0 | 8 |

CB | x1 | x2 | x4 | x3 | x5 | |

cj-zj | 0 | 0 | 0 | 0 | 0 | |

BV | x1 | x2 | x4 | x3 | x5 | |

By applying the simplex method to the given LP problem, we find that the optimal solution is x1 = 2, x2 = 0, and the objective function value is z = 8. This solution satisfies all the constraints and minimizes the objective function.

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Answer:

9/10

Step-by-step explanation:

You have to convert the denominators so they are each the same in order for you to add them. 10 is double 5, so multiply the numerator and denominator of 3/5 to get 6/10. Then add 6/10 to 3/10 and you get 9/10. Therefore, Heath and Janet ate 9/10 of the pizza.

Trip of 700 km required 70 liter  gasoline

For go 200 km Distance total gasoline required = 20 liter

For go 1 km Distance total gasoline required = 20÷200

                                                                          =  0.1 liter

Total trip distance =700 km

Total gasoline required for  going 700 km = Total distance×Gasoline required for 1 km

 Total gasoline required for  going 700 km  = 700×0.01                                                          

                                                                         = 70 liters

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70 liters of gasoline will be used on a trip of 700 kilometers.

Given that,

200 kilometer is covered by 20 liters of gasoline.

For go 1 km Distance total gasoline required = 20÷200

                                                                          =  0.1 liter

Now,

Let x be the liters of gasoline required for a 700-km trip.

            ⇒ 20/200 = x/700

            ⇒ (200) (x) = (20) (700)

            ⇒ 200x = 14,000

            ⇒ 200x/200 = 14,000/200

              or,  x = 70

Therefore, the answer is :

70 liters of gasoline will be needed for a 700 kilometer of trip.

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Given that \(\(T(n)\) = \(10n^2-3n\)\) if (\(\(n=1\)\)), you have to prove it by induction. So, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if ( n= 1). The given statement is true for all positive integers n

Let's do it below: The base case (n=1) is given as follows: \(T(1)\) =\(10\cdot 1^2-3\cdot 1\\&\)=\(7\end{aligned}$$\). This implies that \(\(T(1)\)\) holds true for the base case.

Now, let's assume that \(\(T(k)=10k^2-3k\)\) holds true for some arbitrary \(\(k\geq 1\).\)

Thus, for n=k+1, T(k+1) = \(10(k+1)^2-3(k+1)\\&\) = \(10(k^2+2k+1)-3k-3\\&\)=\(10k^2+20k+7k+7\\&\) = \(10k^2-3k+20k+7k+7\\&\) = \(T(k)+23k+7\\&\) = \((10k^2-3k)+23k+7\\&\) =  \(10(k+1)^2-3(k+1)\).

Therefore, we have proved that the statement holds true for n=k+1 as well. Hence, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if (n=1). Therefore, the given statement is true for all positive integers n.

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nswer:

Terms in parentheses are handled first. If the parentheses are removed, it will change the answer.

Step-by-step explanation:

example:

(4-3)2 reduced would be 2     (because the 4-3 would be handled first.)

4-3x2 reduced would be -2     (because the multiplication would be handled first.)

Answer:

D)

Step-by-step explanation:

all vertical lines have an undefined slope because their denominator (after using the slope formula) is zero

Answer:

4.9

Step-by-step explanation:

use this equation : \(a^2 + b^2 = c^2\) (your hypotenuse is always going to be c)

 \(7^2 - 5^2 = b^2\)

 \(49 - 25 = b^2\\\)          

         \(24 = b^2\)

      \(\sqrt{24} = b\)

        \(4.9 = b\)

Since the function, g(x), is obtained by vertically stretching f(x) = x2 + 1 by a scale factor of 3.The option that is the correct expression for g(x) is option C: g(x) = 3x² + 3

In the above case,  we shall multiply the base function by the scale factor when stretching a function vertically. As a result, we have g(x) = 3 f. (x). Don't forget to share 3 to each term in f. (x).

g(x) = 3(x² + 1)

=3x² + 3

As a result, the appropriate formulation for g(x) is 3x² + 3.

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See complete question below

The function, g(x), is obtained by vertically stretching f(x) = x2 + 1 by a scale factor of 3. Which of the following is the correct expression for g(x)?

 g(x) = 3x² + 1

g(x) = x² + 3

g(x) = 3x² + 3

g(x) = 3(x + 1)2

For A and B to be independent, the value of P(B) should be ≈ 1.224

For events A and B to be independent, the probability of their intersection (A ∩ B) must be equal to the product of their individual probabilities (P(A) * P(B)).

In this case, we have the following information:

P(A) = 0.49

P(A ∩ Bc) = 0.4

We need to determine the value of P(B) for which A and B are independent.

We can use the following equation:

P(A ∩ B) = P(A) * P(B)

However, we don't have the direct value of P(A ∩ B), but we have P(A ∩ Bc) and we can use the complement rule to obtain P(A ∩ B):

P(A ∩ B) = 1 - P(A ∩ Bc)

Now, substituting the known values:

1 - P(A ∩ Bc) = P(A) * P(B)

1 - 0.4 = 0.49 * P(B)

0.6 = 0.49 * P(B)

0.6 / 0.49 = P(B)

Approximately, P(B) = 1.224

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9λe−3λ

We compute first the CDF of λ given X = 1.

By hypothesis,

P(X = 1 |Λ) = E(1X=1 |Λ) = e−Λ

P(X = 1) .

By differentiate the CDF w.r.t. λ, we obtain the PDF:

f(λ | X = 1) = 9λe−3λ

What does CDF mean?

An additional technique for describing the distributions of random variables is to use the functional form (CDF) of a random process. The CDF's benefit is that any type of random variable may be defined using it (discrete, continuous, and mixed).

How do you determine a distribution's CDF?

F(x) is used to represent the cumulative distribution functions (CDF) of a random variable X and is defined as F(x) = Pr(X x).

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The conditional PDF or CDF of the λ is 9λe−3λ.

The functional form (CDF) of a random process is another method for describing the distributions of random variables. The CDF has the advantage of allowing any type of random variable to be defined (discrete, continuous, and mixed).

F(x) is a function that is used to represent the cumulative distribution functions (CDF) of a random variable X. It is defined as F(x) = Pr (X x).

First, we compute the CDF for X = 1.

P(X = 1 |) = E(1|X=1 |) = e P(X = 1), according to hypothesis.

We obtain the PDF by differentiating the CDF with respect to:

f(λ | X = 1) = 9λe−3λ

Therefore conditional pdf of the λ is 9λe−3λ.

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The eigenvalues of AᵀA are: λ₁ = 9 λ₂ = 16 λ₃ = 49

The eigenvalues of AᵀA, we need to find the eigenvalues of the square matrix AᵀA. Since A is given in its singular value decomposition (SVD) form, we can directly compute the eigenvalues.

The eigenvalues of AᵀA are the squares of the singular values of A, which are the diagonal elements in the middle matrix of the SVD.

From the given SVD of A: A = UΣVᵀ

where U, Σ, and V are the matrices obtained in the SVD, and Σ is a diagonal matrix containing the singular values.

In this case, Σ is given as: Σ = [3 0 0] [0 4 0] [0 0 7]

The eigenvalues of AᵀA are the squares of the singular values:

λ₁ = (3)² = 9

λ₂ = (4)² = 16

λ₃ = (7)² = 49

Therefore, the eigenvalues of AᵀA are: λ₁ = 9 λ₂ = 16 λ₃ = 49

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Answer:

g(x) = log(x+1) + 4

Step-by-step explanation:

If a curve has been translated (shifted or slid) you can add to or subtract from the x to show horizontal (left or right) shifts and add or subtract a number tacked onto the end of the equation to cause the vertical shift (up or down).

The curve for g(x) is shifted left 1 unit. So change the x to x+1. Left and right shifts are a little backwards from what you might think. But left shift is a +1.

Vertical shifts adjust the way you would think they should. UP shift 4 units is a +4 on the end of the equation. See image.

Answer:

$5.01 moneyyyyyy lollll

Answer:

$5.11

Step-by-step explanation:

Answer:

10: add five

32, 37

11: divide by 9

3, 4

When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.

The T-chart employs positive real numbers since this is the most typical form of exponential function.

Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.

The exponential function can be represented by the following equation:

\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.

When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.

The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.

Therefore, the correct answer is option A.

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Answer:

............................

Answer:

2(1/5)

Step-by-step explanation:

7(1/5) - 3(11/5)

= {(35 + 1)/5} - {(14+11)/5}

= (36/5) - (25/5)

Take the LCM of the denominator 5 and 5 is 5 as common.

= (36*1 - 25*1)/5

= (36 - 25)/5

= 11/5

= 2(1/5) → [Mixed fraction] Ans.

Please let me know if you have any other questions.

Step-by-step explanation:

To solve the system of equations:

5x + y = 9

10x - 7y = -18

We can use the elimination method by multiplying the first equation by 7 and subtracting it from the second equation:

35x + 7y = 63 (multiplying first equation by 7)

10x - 7y = -18

45x = 45

Dividing both sides by 45, we get:

x = 1

Substituting x = 1 into the first equation:

5(1) + y = 9

Simplifying, we get:

y = 4

Therefore, the solution to the system of equations is x = 1 and y = 4.