Calculate 6 ÷ (2-3)³

Answer:

The equation y = 34x - 2 is the slope-intercept form of the equation y = 34x + b, where b is the y-intercept, which is the point where the line crosses the y-axis. The value of b in this case is -2, so the equation can be written as y = 34x - 2. This form of the equation makes it easy to find the slope (which is 34 in this case) and the y-intercept (which is -2 in this case) of the line.

Answer:

8

Step-by-step explanation:

256 = 64 • 64

64 • 64 = 8 • 8 • 8 • 8

It's the 4th root of 256

The number comes out to 8

Hope this helps! And one more thing...

Next time, pay attention!

The statement 'a correlational study is used to examine the relationship between two variables but cannot determine whether it is a cause-and-effect relationship" is true.

The correlation coefficient describes how one variable moves in relation to another. A positive correlation indicates that the two move in the same direction, with a value of 1 denoting a perfect positive correlation. A value of -1 shows a perfect negative, or inverse, correlation, while zero means no linear correlation exists.

When examining the link between two variables, a correlational analysis cannot establish if there is a cause-and-effect relationship.

This assertion is absolutely accurate. The data can only be used to infer cause and effect relationships if a proper experiment has been conducted. A control group and a sample of participants drawn using random sampling techniques are required for the study to qualify as an experiment.

Therefore, the given statement is true.

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Answer:

5 seconds

Step-by-step explanation:

when the phone hits the ground then y = 0 , that is

- 16t² + 400 = 0 ( subtract 400 from both sides )

- 16t² = - 400 ( divide both sides by - 16 )

t² = 25 ( take square root of both sides )

t = \(\sqrt{25}\) = 5

the phone hits the ground after 5 seconds

Answer:

5 seconds

Step-by-step explanation:

y = \(-16t^{2} + 400 \\\)

Make t the subject:

\(16t^{2} = -400\\t^{2} = \frac{400}{16} = 25\\ t = \sqrt{25} = 5\)

Therefore the answer is 5 seconds

Answer:

The simplified answer to that is -0.2x.

Hope this helps and if you could mark this as brainliest. Thanks!

Answer:

-0.2x

Step-by-step explanation:

If x is negative then,

-0.2(-2) = 0.4

Answer:

x=3 and y=2

Step-by-step explanation:

Rewrite equations:

3x−y=7;2x+y=8

Step: Solve3x−y=7for y:

3x−y=7

3x−y+−3x=7+−3x(Add -3x to both sides)

−y=−3x+7

−y

−1

=

−3x+7

−1

(Divide both sides by -1)

y=3x−7

Step: Substitute 3x−7 for y in 2x+y=8:

2x+y=8

2x+3x−7=8

5x−7=8 (Simplify both sides of the equation)

5x−7+7=8+7 (Add 7 to both sides)

5x=15

5x5

=

15/5

(Divide both sides by 5)

x=3

Step: Substitute 3 for x in y=3x−7:

y=3x−7

y=(3)(3)−7

y=2(Simplify both sides of the equation)

An estimated 69.8% chance exists that 15 or more out of 20 planes will arrive on schedule.

The 20 flights were simulated 25 times in this scenario, and the outcomes were 11, 15, 14, 8, 17, 14, 16, 15, 17, 15, 9, 13, 16, 12, 18, 14, 16, 13, 15, 16, 14, 18, and 9. These figures add up to a total of 349 on-time departures out of 500 simulated departures.

It might be difficult to determine the likelihood that 15 or more aircraft out of 20 will depart on time. Thankfully, several approaches may be utilized to gauge the chance. One such approach is to simulate the issue under consideration several times, analyze the results, and then determine an estimated likelihood.

Therefore, an estimated 69.8% chance exists that 15 or more out of 20 planes will arrive on schedule.

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It is indeed possible for it to take more than k pivots to find a "real" BFS when using the Big M method, where k is the number of artificial variables introduced.

If the reduced cost of all non-basic variables is strictly ≥0, it does not necessarily mean that the current basic feasible solution (BFS) is optimal. The reduced cost of a variable represents the amount by which the objective function value would improve if that variable were included in the current BFS. When the reduced cost is ≥0 for all non-basic variables, it indicates that there is no incentive to include any of those variables in the current BFS as they would not contribute to improving the objective function.

However, it is still possible that the current BFS is not optimal. There could be other feasible solutions that have a lower objective function value, and these solutions might involve changing the current set of basic variables. To determine optimality, additional criteria need to be considered, such as the feasibility of the solution and the optimality conditions of the linear programming problem.

When using the Big M method to find an initial basic feasible solution (BFS), it is possible that it may take more than k pivots to find a "real" basic feasible solution that includes only the variables in the original problem.

The Big M method introduces artificial variables with a large coefficient (M) in the objective function to enforce constraints during the initial phase of solving a linear programming problem. These artificial variables ensure that all constraints are satisfied and provide a starting BFS. However, these artificial variables are not part of the original problem and need to be removed to obtain a "real" BFS.

The number of pivots required to find a "real" BFS depends on the particular problem and the choice of artificial variables. It is possible that additional pivots are needed to eliminate the artificial variables and identify a feasible solution that includes only the original variables.

Therefore, it is indeed possible for it to take more than k pivots to find a "real" BFS when using the Big M method, where k is the number of artificial variables introduced.

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Answer:

Step-by-step explanation:

Let Justin's age be x

Arlene today is 1/4 x

Ten years from now

Arlene:  1/2 (x + 10) = 1/4 x + 10       Remove the brackets

1/2 x + 5 = 1/4x + 10                          Subtract 1/4x from both sides.

1/2 x - 1/4x + 5 = 10                           Combine

1/4x + 5 = 10                                      Subtract 5 from both side

1/4 x = 10 - 5                                      Combine

1/4 x = 5                                             Multiply both sides by 4

x = 5 * 4

x = 20

Arlene is 5 years old (1/4 20) right now

Answer:  Last year, Arlene was 4 years old

a. Null hypothesis: H₀: µ ≤ 74

b. A t-test is appropriate here because the population standard deviation is not known, and the sample size is less than 30.

c. The value of Test statistic is -6.325

d. At a 0.05 significance level, the critical value for a right-tailed test is  -1.664.

e. The test statistic (-4.38) is less than the critical value (1.645). Hence we can reject the null hypothesis.

a. Null hypothesis, H0: µ = 74, alternative hypothesis, H1: µ > 74  (there is no significant difference in the mean job satisfaction scores of employees after the telecommuting policy is adopted).

b. A t-test is appropriate here because the population standard deviation is not known, and the sample size is less than 30. This is a one-tailed test because the alternative hypothesis is directional (i.e., it states that the mean level of satisfaction will increase with telecommuting).

c. The test statistic is calculated using the formula: t = (X - µ) / (s / √n), where X is the sample mean, µ is the population mean, s is the sample standard deviation, and n is the sample size.  Substituting the values given in the question: t = (56 - 74) / (8 / √80) = -6.325

d. The critical value for a one-tailed t-test with 79 degrees of freedom at the 0.05 level of significance is -1.664. Since the calculated t-value of -6.325 is less than the critical value of -1.664, we reject the null hypothesis.

e. Based on the calculated t-value and critical value, we reject the null hypothesis that the mean level of satisfaction is the same before and after telecommuting and accept the alternative hypothesis that telecommuting increases the mean level of satisfaction among employees.

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Given points for a line two points j and k

Point j=(-3,7) and point k=(4,-2)

For find the mid point between two points

Formula for midpoint m(X,Y)= \((\frac{x_{1} +x_{2} }2,\frac{y_{1} +y_{2}}2)\)

  m=\((\frac{-3+4}{2} ,\frac{7-2}{2} )\)

  m=\((\frac{1}{2} ,\frac{5}{2} )\)

Therefore ,the mid point of j and k points are    m=\((\frac{1}{2} ,\frac{5}{2} )\)

For find the distance between two points

Formula distance=\(\sqrt{( y_{2}-y_{1})^{2}+ ( x_{2}-x_{1})^{2} }\)

Distance of jk=\(\sqrt{( -2-7)^{2}+ ( 4-(-3))^{2} }\)

Distance of jk =\(\sqrt{( -2-7)^{2}+ ( 4+3))^{2} }\)

Distance of jk=\(\sqrt{( -9)^{2}+ ( 7))^{2} }\)

Distance of jk =\(\sqrt{81+ 49 }\)

Distance of jk=\(\sqrt{130\\}\)

Therefore, the distance between the endpoints of jk is \(\sqrt{130}\)

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If there is no association between two variables, then the slope of the regression line would be zero.

This means that there is no linear relationship between the two variables, and the value of one variable does not predict or influence the value of the other variable. In other words, the regression line would be a horizontal line with a slope of zero.

It is important to note that the absence of a linear relationship between two variables does not necessarily mean that there is no relationship between them.

There could be other types of relationships that are not captured by a linear model, such as nonlinear or non-monotonic relationships, or interactions between variables.

It is also possible that there is no relationship at all between the two variables. In any case, if there is no linear relationship, the slope of the regression line would be zero.

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Then, you can simplify by multiplying through by cos(θ) to get rid of the fraction:

(sin2θ)/cos(θ) + sin(θ)= sin(θ)(1 + cos(θ))/cos(θ)

When simplifying a trigonometric expression, you can use identities and/or algebraic techniques.

There are a few key identities that can be used to simplify trigonometric expressions. One such identity is the Pythagorean identity:

sin2θ + cos2θ = 1.

Another identity is the reciprocal identity:

1/cscθ = sinθ, 1/secθ = cosθ, 1/cotθ = tanθ.

Finally, the quotient identity is another helpful tool:

tanθ = sinθ/cosθ.

To simplify a trigonometric expression using these identities, you should look for ways to rewrite parts of the expression in terms of these identities.

For example, if you have an expression like sin(θ)cos(θ) + cos(θ), you can use the Pythagorean identity to rewrite

sin2θ as 1 - cos2θ, and then substitute that in to get:

(1 - cos2θ)cosθ + cosθ= cosθ - cos3θ

Another example of a trigonometric expression that can be simplified using these techniques is:

tan(θ)sin(θ) + cos(θ)tan(θ)

First, you can use the quotient identity to rewrite tan(θ) as sin(θ)/cos(θ):

(sin(θ)/cos(θ))sin(θ) + cos(θ)(sin(θ)/cos(θ))

Then, you can simplify by multiplying through by cos(θ) to get rid of the fraction:

(sin2θ)/cos(θ) + sin(θ)= sin(θ)(1 + cos(θ))/cos(θ)

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Answer:

5.81$

Step-by-step explanation:

Answer:

33.3

Step-by-step explanation:

Because if your coming out of a 100 and there's 3 things what is 100 divided by 3=33.3

If you took out 2 slices it would be a 66.6 do you get it.

Have a good afternoon:)

The probability that the marble will be in one of the first three slices of the cake will be 31.8% so option (C) will be correct.

The probability of an event occurring is defined by probability.

Do not take underestimate probability it has several uses in daily life whether forecasts and like that.

Probability is also called the chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

Given that dia of cake = 9 inches

Perimetere of cake = πD = 9 ×22/7  = 28.29 inches.

The perimeter of 3 slices of a piece with an arc length of 3 inches,

3(3) = 9 inches.

Probability of having marble in the first 3 piece

(9/28.29)100 = 31.81 %

Hence, it is clear that the probability that the marble will be in one of the first three slices of the cake will be 31.81 %.

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To find the intersection point between the curve y = tan(x) and the line y = 7x, we can use Newton's method. Newton's method is an iterative numerical method used to approximate the root of a function.

We need to find the x-value where the curves intersect, so we can set up the equation tan(x) - 7x = 0. We want to find a solution between x = 0 and some unknown value denoted as X.

Using Newton's method, we start with an initial guess x_0 for the solution and iterate using the formula:

x_(n+1) = x_n - f(x_n) / f'(x_n),

where f(x) = tan(x) - 7x and f'(x) is the derivative of f(x).

We continue this iteration until we reach a desired level of accuracy or convergence. The resulting value of x will be the approximate intersection point between the two curves.

Please note that without specific values or range for X or an initial guess x_0, it is not possible to provide a specific numerical answer. However, you can apply Newton's method using an initial guess and the given function to find the approximate intersection point.

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The correct answer is 12:16 P.M.

According to the problem,

∴ Time at which Dev finishes her lunch =

                  9:52 A.M.  + ( 1 hour and 48 minutes +  36 minutes )

                =   11:40 A.M. +  36 minutes = 12 : 16 P.M.

∴ Deb finish eating lunch at 12:16 P.M.

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Step-by-step explanation:

Write properties of function:

x intercept/zero: ; T1= -1 and T2=10

vertex form: g(t)=  (t-9/2)^2, (-121/4)

vertex: 9/2, 121/4

Explanation Write properties of function: Write properties of function:

x intercept/zero: ; t1=-1, and t2=10

vertex form: (t-9/2)^2, (-121/4)

vertex: 9/2, 121/4

hope this helped

Answer:

Apply the rule x^m/n = n√ x^m to rewrite the exponentiation as a radical.

9√k^2

Let's simplify

\(\\ \rm\Rrightarrow \dfrac{k^2}{9}\)

\(\\ \rm\Rrightarrow \dfrac{k^2}{3^2}\)

\(\\ \rm\Rrightarrow (\dfrac{k}{3})^2\)

Answer:

3

Step-by-step explanation:

The slope of the given line is \(\frac{2}{3}\).

If a line passes through two points (x₁, y₁) and (x₂, y₂) respectively, then slope of the line is \(m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

Here, the given line passes through points (0, 6) and (-9, 0).

Therefore, the slope of this line is (m)

\(= \frac{0 - 6}{-9 - 0}\\= \frac{6}{9} \\= \frac{2}{3}\)

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Answer:

0.75

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Use x for the equation: (x - 1/2)*1/2 = 1/8

Just go backwards

1/8 is the result, and to get it, you multiply by 1/2, so instead of that, you divide 1/8 by 1/2 instead (Dividing a number by a fraction is the same as multiplying it by its reciprocal. The reciprocal of 1/2 is 2): (1/8)/(1/2) = 1/8 * 2 = 2/8 = 1/4, now since we subtracted 1/2, we add instead: 1/4 + 1/2 = 1/4 + 2/4 = 3/4

The company is incurring a loss of 1200 thousand dollars while selling 1000 books. This means that the company is not making any profit from selling 1000 books.

In the given problem, a publishing company's cost, in thousands of dollars, is represented by the function

C(x) = x + 3200 and its revenue,

in thousands of dollars, is represented by the function R(x) = 3x.

Each book is represented by x. 1000 books are sold. Cost function: C(x) = x + 3200

Revenue function: R(x) = 3x

In the given situation, the company sold 1000 books.

Therefore, we can calculate the company's cost and revenue for selling 1000 books.

Substituting x = 1000 in both the cost and revenue functions:

Cost for selling 1000 books = C(1000) = 1000 + 3200 = 4200 thousand dollars

Revenue for selling 1000 books = R(1000) = 3 × 1000 = 3000 thousand dollars

Therefore, the company's total profit for selling 1000 books can be calculated as follows:

Profit = Revenue – Cost Profit for selling 1000 books = 3000 – 4200 = -1200

In the given situation, the company has a negative profit of 1200 thousand dollars. This implies that the company is not making any profit from selling 1000 books.

In other words, the company is incurring a loss of 1200 thousand dollars while selling 1000 books. Answer: In the given problem, a publishing company's cost,

in thousands of dollars, is represented by the function C(x) = x + 3200 and its revenue,

in thousands of dollars, is represented by the function R(x) = 3x.

Each book is represented by x. 1000 books are sold.

The company's total profit for selling 1000 books is -1200.

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Answer:

C

Step-by-step explanation:

The function C has a range of (-infinity, a] and domain [b, infinity)

Answer:

The point (3/2, -3/2) can be represented as (1.5, -1.5) in decimal form. The x-coordinate, 3/2, is equivalent to 1.5, indicating a movement of 1.5 units to the right from the origin. Similarly, the y-coordinate, -3/2, is equivalent to -1.5, representing a movement of 1.5 units downward from the x-axis.

Visually, the point (1.5, -1.5) is located on the graph slightly to the right and below the origin, as shown below:

Concurrent lines are lines intersecting a common point. Medians are lines connecting the vertex to the midpoint. Altitudes are lines perpendicular to the base of the triangle and pass through the vertex opposite the base.

Concurrent lines in a triangle refer to lines that pass through a common point, such as the centroid, which is the point where the medians of a triangle intersect. Medians are lines that connect a vertex of a triangle to the midpoint of the opposite side. Altitudes are lines that are perpendicular to the base of a triangle and pass through the vertex opposite the base. They also intersect at another point called the orthocenter. The concurrent lines, medians, and altitudes of a triangle are important concepts in geometry that are used in various proofs and problem-solving tasks.

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Your question seems to be incomplete, but I assume the question was:

"What are concurrent lines, medians, and altitudes in a triangle?"

Answer:

3/8

Step-by-step explanation:

There are 8 equal slices so each slice is 1/8th of the whole pizza

1/8+1/8=2/8 he ate right away

2/8+1/8 for what he ate before going to sleep

2/8+1/8=3/8

Answer:

3 3/4 yards

Step-by-step explanation:

6*5/8=3 3/4

Answer:

proportion

Step-by-step explanation:

In a proportion, the means or the extremes (or both) may be interchanged. In proportion, the product of the means equals the product of the extremes.

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