what is the answer for2 /4 times 2/3??

Answer:

-72

Step-by-step explanation:

-32+(2-6)(10)

-32+(-4)(10)

-32+(-40)

-72

Answer:

its -49

Step-by-step explanation:

i got it right on edge 2021

Answer:

-6.25

Step-by-step explanation:

The answer is -6.25.

To evaluate the line integral ∮C (2x - y^4)dx + (5y + 3x - 6)dy, where C is the boundary of a triangle with vertices, we can use Green's theorem.

Green's theorem states that for a vector field F = (P, Q) and a simple, positively oriented, piecewise-smooth curve C, the line integral ∮C Pdx + Qdy is equal to the double integral over the region D enclosed by C of (dQ/dx - dP/dy) dA.

Let's calculate the double integral first. The region D is the triangle enclosed by the vertices (0, 0), (2, 0), and (0, 3).

To apply Green's theorem, we need to compute the partial derivatives of the vector field components P and Q with respect to x and y, respectively:

∂P/∂x = 2

∂Q/∂y = 5

Now, let's calculate the double integral using the Green's theorem formula:

∬D (dQ/dx - dP/dy) dA = ∬D (5 - 2) dA = ∬D 3 dA

The integral of a constant over a region is simply the constant multiplied by the area of the region. The region D is a triangle with base 2 and height 3, so its area is (1/2) * base * height = (1/2) * 2 * 3 = 3.

Therefore, the double integral becomes:

∬D 3 dA = 3 * 3 = 9

Hence, the line integral ∮C (2x - y^4)dx + (5y + 3x - 6)dy, where C is the boundary of the triangle with vertices (0, 0), (2, 0), and (0, 3), is equal to 9.

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The criterion used to obtain the ordinary least square (OLS) estimator is to minimize the sum of the squared differences between the observed values and the predicted values.

In OLS, the goal is to find the line that best fits the given data points. The estimator minimizes the sum of the squared residuals, which are the differences between the observed values and the predicted values. The squared residuals are used to ensure that both positive and negative differences contribute to the overall error measure.

The OLS estimator achieves this by calculating the coefficients of the linear regression model that minimize the sum of the squared residuals. It finds the intercept and slope of the line that minimizes the total squared distance between the data points and the regression line. This minimization process is based on the principle of least squares, which aims to find the best-fitting line by minimizing the overall error.

By minimizing the sum of the squared residuals, the OLS estimator provides a measure of how well the regression line represents the data points. It allows for the determination of the line's slope and intercept, which can be used for predicting values and understanding the relationship between the variables.

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We define the following variables:

R = # of rectamgular tables

C = # of circular tables

From the statement we know that we have a total of 18 tables, so the # of rect. tables plus the # of circ. tables must sum 18:

We also know that we have 130 occupied seats, so we can write the following equation in terms of R and C (taking in account that each one can have 8 and 6 persons, respectively):

So we must solve the following system of equations:

In order to solve the system we can do the following steps:

Answer:

slope is -1/12

Step-by-step explanation:

slope =y2 - y1 / x2-x1

The terms in a linear function consists of the product of a variable raised to the first power and a constant added to a constant

The changes in the graph of the function are;

The reason the above values are correct are given as follows:

The known parameter for the costs of a trophy are;

Amount the company charges for the trophy = $175

Amount charged for each letter written on the trophy - $0.20

The total charge for a trophy with x letters is f(x) = 0.20·x + 175

Required;

The change in the graph if the trophy's cost is lowered to $172

Solution;

The cost of the trophy is the constant term in the straight line equation of the total charge for a trophy

The constant term in a straight line equation gives the y-intercept, that is the value of y when x = 0, while the coefficient of x in the equation of the form y = m·x + c, gives the slope of the equation

Therefore, when the cost of the trophy is lowered to 172, the y-intercept of the graph is lowered to 172, while the slope of the graph remains the same

Required:

The change in the graph if the charge per letter is raised to $0.50

Solution:

The charge per letter is the coefficient of x, in the equation f(x) = 0.20·x + 175, which is of the form, y = m·x + c, where m is the slope

Therefore, the charge per letter is the slope of the graph

If the charge per letter is changed from $0.20 to $0.50, the equation changes from f(x) = 0.20·x + 175 to f(x) = 0.50·x + 175, and therefore;

The slope of the graph changes from 0.20 to 0.50

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Answer:

\(e\approx2.71828\)

Step-by-step explanation:

I assume you mean \(\lim_{x \to 0} (1+x)^{\frac{1}{x}}\), which is just the definition of the constant \(e\), also known as Euler's Number.

Answer:

  1 : 12 : 4

Step-by-step explanation:

Let A, G, C represent the ages of Alex, George, and Carl, respectively. We are told that ...

  A = G +12

  C = 3A . . . . . . . we read this as "3 times as old"; not "3 times older"

  A + G + C = 68

Substituting for G and C, we have ...

  A + (A -12) +(3A) = 68

  5A = 80 . . . . . add 12

  A = 16 . . . . . . . divide by 5

The other ages are then ...

  G = A-12 = 16 -12 = 4

  C = 3A = 3·16 = 48

The ratios are ...

  G : C : A = 4 : 48 : 16

  G : C : A = 1 : 12 : 4

In mathematical terms, if X is the sum of successes in n different Bernoulli trials, and p is the likelihood of success in each trial, then X may be represented as a normal distribution with mean increasing as n rises.

μ = np

variance σ^2 = np(1-p)

The binomial distribution is a discrete probability distribution that produces just two outcomes in an experiment: success or failure. In a binomial distribution, the chance of success must remain constant during the trials under consideration. For example, because there are only two possible outcomes when tossing a coin, the chance of flipping a coin is 1/2 or 0.5 for each experiment we do.

Here,

When the sample size (n) is high, the distribution of the total of successes (k) in n separate Bernoulli trials approaches a normal distribution, according to the normal approximation for the binomial distribution.

In mathematical terms, if X is the total of successes in n separate Bernoulli trials, with p being the chance of success in each trial, then X may be represented by a normal distribution with mean as n increases.

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Answer:

11.

\(1 \times \frac{3}{8} \)

12.

\(2 \times \frac{5}{6} \)

Answer:

3x-4(4) =65

3x-16 =65

3x=65+16

3x=81

x = 27

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL. HAVE A GREAT DAY.

Answer:

x=27

Step-by-step explanation:

since y=4, you just have to plug in 4 for y, then solve.

3x-4y=65

3x-4(4) = 65

3x-16=65

add 16 on both sides

3x=81

dive by 3 on both sides

x=27

Answer:

It would take him eight hours, but only if at the end of your sentence you meant miles.

Step-by-step explanation:

8miles_____ 30mn

30miles ____________________ *hrs

8 div by 30, .266667 miles per min

mult by 30

The mean of the data values is 17. The median of the data values is 18.

To find the mean of a set of data values, we sum up all the values and divide by the total number of values. In this case, the sum of the data values is 10 + 20 + 21 + 14 + 18 + 19 = 102. Since there are 6 data values, the mean is 102/6 = 17.

The median is the middle value of a set of data when it is arranged in ascending or descending order. In this case, the data values arranged in ascending order are 10, 14, 18, 19, 20, 21. Since there are 6 values, the middle two values are 18 and 19. Therefore, the median is 18.

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Answer:

p(not blue) = 11/13 = 0.8461538462 = approx 0.85 = approx 85%

Step-by-step explanation:

65-10 = 55 are not blue, so 55 out of 65 cars are not blue.

p(not blue) = 55/65 = 11/13 = 0.8461538462 = approx 0.85 = approx 85%

The table representing the relationship between hours of lawn care and the amount of money the company charges is:

8 $220

10 $275

12 $330

14 $385.

Equations are mathematical expressions with two algebraic expressions flanking the equals (=) symbol on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS (left hand side equals right hand side) is the most widely accepted theorem.

Let x be the charge of lawn care for 1 hour.

Given, charge for 4 hours of lawn care =$110

So, x= Amount charged/ Hours of lawn care

x=110/4

x=27.5

Now, the company charges $27.5 for 1 hour of lawn care.

So now we can find the amount charged by the company for

"y" no. of hours by using the equation. x × y = z

Here x, y and z are variables, where x is the charge of lawn care for 1 hour. y is the number of hours of lawn care and z is the total amount

charged by the company.

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Given information:Gayle installed a rectangular section of hardwood flooring measuring 12 ft by 12 ft in her family room. She plans on increasing the area of the flooring to 256 ft2 by increasing the width and length by the same amount, x.

Formula for the area of a rectangular is given as follows:Area of a rectangular = Length × WidthLet, the width and length of the rectangular be x.So, the area of the rectangular after increasing the width and length by the same amount will be:(12 + x) × (12 + x)According to the question, the area of the rectangular after increasing the width and length by the same amount is 256.So, the equation that represents the given situation is:256 = (12 + x) × (12 + x)256 = (12 + x)²Answer:Option A: 256 = (12 + x) × (12 + x) is the correct equation to find x.

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Answer:

Screenshot of work is uploaded.

Step-by-step explanation:

Answer:

\(\frac15\)

Step-by-step explanation:

Hello!

The constant of proportionality is basically how much the graph rises for every change of 1 unit in x.

We can calculate the constant of proportionality by finding the change in y between 2 points divided by the change in x between two points.

The two points I'll pick are (0,0) and (5,1).

Constant of proportionality: \(\frac 15\)

Answer:

B

Step-by-step explanation:

Rolling dice is simple, but it definitely isn't an event.

Answer: I hope this helps you

Step-by-step explanation:

The geometry of curved surfaces was developed by several mathematicians over the centuries, including Carl Friedrich Gauss, Bernhard Riemann, and Elie Cartan, among others. These mathematicians made groundbreaking contributions to the field of differential geometry, which studies the properties of curves and surfaces in higher-dimensional space.

The development of the geometry of curved surfaces is a fascinating topic that has intrigued mathematicians and scientists for centuries. Many notable individuals throughout history have contributed to the field, including Carl Friedrich Gauss, Bernhard Riemann, and Henri Poincaré, to name just a few.

One of the key figures in the development of non-Euclidean geometry was Gauss, who laid the foundation for the study of curved surfaces with his work on differential geometry. Gauss introduced the concepts of intrinsic curvature and geodesics, which are critical to understanding the properties of curved surfaces.

Another important figure in the development of curved surface geometry was Riemann, who developed a new approach to the study of surfaces and higher-dimensional spaces. Riemann’s work allowed for the introduction of a metric tensor, which enables the calculation of distances and angles on curved surfaces.

Poincaré made significant contributions to the field with his work on topology, which involves the study of geometric properties that are preserved under continuous transformations. Poincaré also introduced the idea of a fundamental group, which is a mathematical object that can be used to describe the connectivity and topology of surfaces.

Overall, the development of the geometry of curved surfaces is a fascinating subject, and the work of Gauss, Riemann, and Poincaré continues to be foundational to the field today.

Answer:

\(a_n=19+(n-1)(-5)\)

Step-by-step explanation:

The explicit formula for an arithmetic sequence is \(a_n=a_1+(n-1)d\) where \(a_n\) is the \(n\)th term and \(d\) is the common difference.

In this problem, we can see that the first term of the sequence is \(a_1=19\) and the common difference is \(d=-5\) since 5 is being subtracted each consecutive term.

Therefore, the explicit formula that describes the given arithmetic sequence is \(a_n=19+(n-1)(-5)\)

Answer:

option 2

Step-by-step explanation:

Let { a1, a2, a3, a4, ... } be the sequence.

now the 1st term (a1) will have a value when n = 1.

similarly, all the other terms will have the values given when we substitute their respective n values into the explicit formula or fibonacci sequence.

thus, check if the 1st term is 19 by using option 2

an = 19 + (n-1)(-5)

an = 19 + (n-1)(-5) ....n = 1

an = 19 + (n-1)(-5) ....n = 1 a1 = 19 + (1-1)(-5) = 19 + 0 = 19. so it's accurate so far.

next, check a2 where n = 2.

a2 = 19 + (2-1)(-5) = 19 - 5 = 14. ....

n = 3

a3 = 19 + (3-1)(-5) = 19 - 10 = 9.

hence the conclusion from this pattern.

Answer:

(2,3) function

(1,9) not

(7, 4) function

(0,3) not

(-6,5) function

The area covered by the pool and the cement walkway is 304  square feet. The width of the walkway would be 5 feet

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Let x be represent the width of the walkway.

The pool measures 25 ft by 10ft . If the walkway must have a uniform width around the entire pool, then the total length of the pool and the walkway =  25+ x + x = 25 + 2x

The total width of the pool and the walkway = 10 + x + x = 10 + 2x

The area covered by the pool and the cement walkway is 304  square feet. This means that;

(25 + 2x)(10 + 2x) = 304

250 + 50x + 20x + 4x^2 = 304

4x^2 + 70x + 250 - 304 = 0

4x^2 + 70x - 54 = 0

x(x + 20) - 5(x + 20) = 0

(x - 5)(x + 20) = 0

x = 5 or x = - 20

Thus The width cannot be negative.

Therefore, the width of the walkway is 5 feet.

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The  number corrected to 1 decimal place is 78.5

The number corrected to the nearest hundredth is 78.47

From the question, we are to estimate the given number to the nearest 1 decimal place

The given number is

78.4695

Correcting to 1 decimal place

In the given number, we can observe that the hundredth digit is greater than 5, thus we will add 1 to the tenth digit

Thus,

78.4695 corrected to 1 decimal place is 78.5

Correcting to the nearest hundredth

The thousand digit is greater than 5, thus we will add 1 to the hundredth  digit

Thus,

78.4695 corrected to the nearest hundredth is 78.47

Hence,

The  number corrected to 1 decimal place is 78.5

The number corrected to the nearest hundredth is 78.47

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Step-by-step explanation:

the formular we're to use is the point slope formula

SLOPE = -3

and x1= -5 y1 = -6

HENCE

Y - Y1 = M (X- X1)

y-(-6) = -3( x--5)

y+ 6 = -3 (x+5 )

y+6 = -3x -15

y= -3x-15-6

y= -3x -21

When operating under Instrument Flight Rules (IFR) with a Visual Flight Rules (VFR) on-top clearance, the altitude to be maintained depends on the specific clearance and regulations in place.

Generally, when flying VFR-on-top, the pilot is authorized to operate in VFR conditions above a layer of clouds or other obscuring phenomena. In terms of altitude, the pilot is expected to maintain a cruising altitude appropriate for the direction of flight and comply with the relevant airspace regulations. This typically involves flying at the appropriate altitude for the specific airspace class, as defined by the Federal Aviation Regulations (FARs) or the applicable regulatory authority. It's important for pilots to review and understand the specific requirements and altitude restrictions outlined in their VFR-on-top clearance, as well as any additional instructions provided by air traffic control.

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The citizens of a state may only register to vote after proving to have submitted their census survey is a "false" statement.

In order to create statistics that define populations and their characteristics, such as age, education, housing, and income, the U.S. Census Bureau compiles data from households.

The purpose of census survey are-

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The complete question is-

The citizens of a state may only register to vote after proving to have submitted their census survey.(True/False)

(b) Yes, the experiment has a control group.

(c) The treatments can be randomly assigned to the experimental units by randomly selecting 20 containers and assigning each of the four treatments to 5 containers.

a) Treatments: Four different concentrations of fungus mixtures (0 ml/L, 1.25 ml/L, 2.5 ml/L, and 3.75 ml/L).

Experimental units: 20 individual containers with a group of insects.

Response variable: Number of insects that are still alive in each container one week after spraying.

(b) A control group is used to compare the results of the treatment group to a group that is not exposed to the treatment.

In this experiment, the control group can be the group of insects that are not exposed to any of the fungus mixtures.

c) The treatments can be randomly assigned to the experimental units by randomly selecting 20 containers and assigning each of the four treatments to 5 containers.

This way, each treatment has the same number of units and the assignment of treatments to units is random, which reduces the risk of bias in the experiment.

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