& What value of x satisfies the system of equations below!
x+2y= 11
4x - y = 8

Work Shown:

(11r - 8) + (5r - 9)

11r - 8 + 5r - 9

(11r+5r) + (-8-9)

16r - 17

Answer: the answer is B

Step-by-step explanation: regional managers fuel

Answer:

B. Regional manager's fuel

Step-by-step explanation:

Just did test

The gradient of line A is -2. 67

Gradient = slope = Δy/ Δx

We have,

y2 = 3

y1 = -5

x2 = -3

x1 = 0

Substitute the values

Gradient = \(\frac{3 - (-5)}{-3 -0}\)

Gradient = \(\frac{3 + 5}{-3}\)

Gradient = \(\frac{8}{-3}\)

Gradient = -2. 67

Thus, the gradient of line A is -2. 67

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Using concept of linear inequality, number of least deliveries is 30 and value of freight is $60000.

What are linear inequalities?

Inequality represents the mathematical expression in which both sides are not equal. If the relationship makes the non-equal comparison between two expressions or two numbers, then it is known as inequality in Maths. In this case, the equal sign “=” in the expression is replaced by any of the inequality symbols such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤) or not equal to symbol (≠). The different types of inequalities in Maths are polynomial inequality, rational inequality, absolute value inequality.

The symbols ‘<‘ and ‘>’ express the strict inequalities and the symbols ‘≤’ and ‘≥’ denote slack inequalities. A linear inequality seems exactly like a linear equation but there is a change in the symbol that relates two expressions.

e.g. y>x+2

Now,

Given charge of $70 per delivery and A charge of 6.5% of the total value of the freight for each delivery and least amount is $102,000.

Let only one delivery is possible per day and no. of deliveries=n

amount of each freight=x

Therefore,

Linear inequality will be n(6.5/100**x+70)>102000

So least values of n and x will be

n=30 and x=$60000

Hence,

          number of least deliveries is 30 and value of freight is $60000.

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The value of f(0) in the function is 0.

To find f(0), in the given function we can use the given equation:

ff(x) = f(x+1)

Substituting x = 0, we get:

ff(0) = f(1)

Since we are given that f(1) = 0, we have:

ff(0) = 0

Now we can substitute x = -1 into the original equation:

ff(x) = f(x+1)

to get:

ff(-1) = f(0)

Since we know that ff(x) = 0 (from ff(0) = 0), we have:

f(0) = ff(-1) = 0

Therefore, we have found that f(0) = 0.

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1) The x-intercept lies at (1, 14), and the y-intercept lies at (3, 42).

2) This means that after 3 cuts, the length of the string is 33 inches.

3) Therefore, the 42-inch string can be cut into 14 pieces of 3 inches each.

The x-intercept is the point on the graph where a line crosses the x-axis.

The y-intercept is the point on the graph where a line crosses the y-axis.

The x- and y-intercepts are the coordinate points for graphing data.

Thus, the x- and y-intercepts are coordinate points where the graph of a function or an equation touches the two axes.

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The median of the following numbers

8, 10, 8, 5, 4, 7, 5, 10, 88, 10, 8, 5, 4, 7, 5, 10, 8 is 8.

Given numbers is

8, 10, 8, 5, 4, 7, 5, 10, 88,10, 8, 5, 4, 7, 5, 10, 8

First you have to organize them in least to greatest order,

4, 5, 5, 7, 8, 8, 8, 10, 10

Second now take these numbers and climate one from each side until you have 1 or 2 numbers left.

that is the

4   5   5   7  8  8    8  10  10

x    x   x   x   !   x    x    x    x

So, the middle number will be the median of the given numbers.

Hence the answer is the median of the following numbers

8, 10, 8, 5, 4, 7, 5, 10, 88, 10, 8, 5, 4, 7, 5, 10, 8 is 8.

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Answer:

-28/7

Step-by-step explanation:

First we need to make both denominators the same.

We can simplify the fraction on the left by dividing the top and bottom by 8.

This gives us;

⇒ \(\frac{1}{7}\)

To make the denominator of 4, 7 as well multiply 4 by 7;

⇒ \(\frac{28}{7}\)

Now this is easy as you can just subtract the numerators;

⇒ \(\frac{1}{7} - \frac{28}{7} = -\frac{27}{7}\)

Answer:

3.75 cm^2

Step-by-step explanation:

Area of a rectangle = Length x Width.

If we are given that the length is 5 cm and width is 3/4 cm ( you could convert this to a 0.75 if you want to as well ) we can plug this in:

Area = 5 cm x 3/4 cm

Solving for Area we get:

Area = 3.75 cm^2.

Answer:

\( \boxed{ \bold{ \huge{ \bold{ \boxed{ \sf{3.75 \: {cm}^{2} }}}}}}\)

Step-by-step explanation:

Length ( l ) = 5 cm

Width ( w ) = 3/4 cm

To find : Area of a rectangle

Finding the area of a rectangle having length of 5 cm and width of 3/4 cm

\( \boxed{ \sf{area \: of \: rectangle = \: l \times w}}\)

plug the values

\( \dashrightarrow{ \sf{5 \times \frac{3}{4} }}\)

To multiply one fraction by another, multiply the numerators for the numerator, and multiply the denominator for its denominator.

\( \dashrightarrow{ \sf{ \frac{5 \times 3}{4} }}\)

\( \dashrightarrow{ \sf{ \frac{15}{4} }}\)

Divide 15 by 4

\( \dashrightarrow{ \sf{3.75 \: {cm}^{2} }}\)

Hope I helped!

Best regards! :D

The journal entry for pension expense is recorded to reflect the cost of providing defined-benefit pension benefits to employees. This entry recognizes the expense and the corresponding increase in the pension liability.

To prepare the journal entry for pension expense, we need to consider the relevant balances related to the defined-benefit pension plan. The pension expense is typically calculated based on actuarial assumptions, such as the expected return on plan assets, discount rate, and projected benefit obligations.

The journal entry for pension expense includes debits and credits to various accounts. The debit side usually includes the pension expense account, which represents the cost incurred by the company for providing pension benefits to its employees. This expense is recognized in the income statement.

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Answer:

1st slide:

A. a translation 5 units to the left

B.translation 7 units down

2nd slide

A. Wider than and opens in the opposite direction of

B. Narrower than and opens in the same direction as

3rd slide

1,-5,3

4th slide

A. Right, 8

B. Down,6

5th slide

Sample response:complete the square to get the equation in vertex form with a=-16, h=1, and k=19. The path is a reflection over the x-axis and narrower. It is also translated right 1 unit and up 19 units.

6th slide

The upside down U with the y axis to the right

7th slide

A. 1,-5

B. -3,2

8th slide

A. 1 1

B. 1

C. 2

9th slide

3,1

10th slide

4,-32

2,-15

11th slide

Step-by-step explanation:

The translation of the equation y = x to the graph of y = (x+5) has a translation of 5 units to the left. The correct option is B.

The process of changing the location of the image on the coordinate system will be known as the translation. Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

Given equations are y = x and y = x + 5. When the two equations are plotted on the graph it is observed that the line of the equation y = x + 5 lies on the left side of the line y = x of about 5 units.

Therefore, the translation of the equation y = x to the graph of y = (x+5) has a translation of 5 units to the left. The correct option is B.

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Answer: So each ounce of specialty oil cost about 0.95

Step-by-step explanation:

Answer:

68-78

Step-by-step explanation:

When u subtract 78 to 68 the difference is 8

The maximum area is the highest possible area of the fence

The maximum area is 100 squared units

The perimeter is given as:

\(P = 40\)

This is calculated as:

\(P=2 \times (L + W)\)

So, we have:

\(2 \times (L + W) =40\)

Divide both sides by 2

\(L + W =20\)

Make L the subject

\(L =20 -W\)

The area of the fence is:

\(A = L \times W\)

So, we have:

\(A = (20 -W) \times W\)

\(A = 20W -W^2\)

Differentiate

\(A' = 20 -2W\)

Set to 0

\(20 -2W = 0\)

Solve for W

\(2W = 20\)

\(W = \frac{20}{2}\)

\(W = 10\)

Recall that:

\(A = (20 -W) \times W\)

\(A = (20 -10) \times 10\)

\(A = (20 =10) \times 10\)

\(A = 100\)

Hence, the maximum area is 100 squared units

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The relationships between the numerator and denominator coefficients of a circuit and the values of resistance (R), inductance (L), and capacitance (C) depend on the specific circuit configuration and the transfer function associated with it.

In general, the numerator coefficients of the transfer function represent the output variables of the circuit, while the denominator coefficients represent the input variables. The coefficients are determined by the circuit elements (R, L, C) and their interconnections.

For example, in a simple RC circuit (resistor and capacitor), the transfer function can be written as a ratio of polynomials in the Laplace domain. The denominator coefficients correspond to the characteristic equation of the circuit and involve the resistance and capacitance values. The numerator coefficients may be related to the initial conditions or external inputs.

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Answer:

Sorry

Step-by-step explanation:

Sorry I don't know the answer because I haven't learned this yet. Hope you get your answer!

The graph of the given function is exponential and the function is lagged by 3.\(g(X)=4^ {(x-3)} \ \ \ \ f(X)=4^X\)

The representation of the function in a relationship on the x and the y coordinates is done on the graph.

Here are the functions \(g(X)=4^ {(x-3)}\) and  \(f(X)=4^X\)  are the exponential curves on the graph the function  \(g(X)=4^ {(x-3)}\) is lagged by 3 as compared to the function \(f(X)=4^X\).

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Using the relation between velocity, distance and time, it is found that the expression for the total time is given by:

\(t = \frac{9}{2x}\)

Velocity is distance divided by time, that is:

\(v = \frac{d}{t}\).

Denise bikes 3 miles to her friend's house, hence:

\(v_1 = \frac{3}{t_1}\)

\(t_1 = \frac{3}{v_1}\)

The average rate biking to her friend's house is twice the average rate coming home, hence, on the return, \(v_2 = 0.5v_1\):

\(v_2 = \frac{3}{t_2}\)

\(t_2 = \frac{3}{v_2}\)

\(t_2 = \frac{3}{0.5v_1}\)

\(t_2 = \frac{6}{v_1}\)

The total time is given by, considering \(v_1 = 2v_2 = 2v = 2x\), as we want to consider x the rate coming home:

\(t = t_1 + t_2\)

\(t = \frac{3}{2x} + \frac{6}{2x}\)

\(t = \frac{9}{2x}\)

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the correct answer is: none of these, as only binomial distribution is applicable to this scenario.

a) This scenario follows the binomial distribution, as we are drawing marbles with replacement and interested in the number of successes (getting a blue marble) in a fixed number of trials.

b) The Poisson distribution is used to model the number of events occurring in a fixed time interval, given a certain rate of occurrence. It is not applicable in this scenario.

c) The hypergeometric distribution is used to model the probability of obtaining a certain number of successes in a sample without replacement, given a finite population of items that can be classified into successes and failures. In this scenario, we are drawing with replacement, so the hypergeometric distribution is not applicable.

d) Therefore, the correct answer is: none of these, as only binomial distribution is applicable to this scenario.

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The correct answer is the equation of the line is y = \(-\frac{2}{3} x - 2\)

Given the equation of the parallel line is 2x + 3y = 3

and the required line passes through the point (3, -4) where x is 3 and y is -4

We can write the given equation  as:

⇒ 3y = 3 - 2x

Dividing both sides by 3

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

On comparing this equation with y= mx+b, thus m = \(-\frac{2}{3}\) and the slopes of parallel lines are always equal.

Using the point slope form, we will derive the equation of line

⇒ \(y-y_1 =m ( x- x_1)\)

⇒ \(y- (-4) = -\frac{2}{3} (x-3)\)

⇒ \(y+4= -\frac{2}{3} (x) - \frac{2}{3} (-3)\)

⇒ \(y = -\frac{2}{3} (x) +2-4\)

⇒ \(y = -\frac{2}{3} (x) - 2\)

Hence, the equation of the required line is \(y = -\frac{2}{3} (x) - 2\)

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The probability that a randomly selected housefly has a wing length between 4mm and 5mm is 0.7941 .

We have the following information from the question is:

Suppose a study finds that the wing lengths of houseflies are normally distributed with a mean of \(\mu=\) 4.55 mm

and standard deviation is: \(\sigma=\) 0.392 mm.

We have to find the probability that a randomly selected housefly has a wing length between 4 mm and 5 mm.

Now, According to the question:

Let X be the random variable that represents the wing lengths of a randomly selected housefly.

We use the formula :

z = \(\frac{x-\mu}{\sigma}\)

We have to calculate for x = 4 mm

\(z=\frac{4-4.55}{0.392}\) ≈ -1.40

Now, Calculate for x = 5mm

\(z=\frac{5-4.55}{0.392}\) ≈ 1.15

Therefore, the probability that a randomly selected housefly has a wing length between 4mm and 5mm is given by :

P(4 < X < 5) = P( -1.40 < X < 1.15)

P(1.15) - P(-1.40)  =  0.8749281 - 0.0807567

=> 0.7941714 ≈ 0.7942

Hence, the probability that a randomly selected housefly has a wing length between 4mm and 5mm is 0.7941 .

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When calculating a nation’s digital power, the term that is used to refer to the demonstrated capabilities of a nation-state in cyber offense or defense is Cyberwarfare.

Cyberwarfare  can be regarded as the use of cyber attacks against a nation-state so as to produce significant harm.

It should be noted that Cyber Warfare is set of actions  which is been carried out by  nation or organization so as to be able to launch an attack on institutions' computer network systems.

The interests or reasons for cyberwarfares based on the Cybersecurity as well as Infrastructure Security Agency are;

In order to achieve the goals behind the cyberwarfare programs, it is usually designed to focus on spectrum of objectives which will bring harm to national interests.

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As per the permutation, there are 5040 number of different ways are available for seating.

The term permutation in math is known as  a mathematical calculation of the number of ways a particular set can be arranged

Here we know that there are 8! ways that you can arrange 8 people.

Now here we have to imagine a specific arrangement.

Here we have consider that everyone get up and move one seat to their right.

Then in that arrangement was counted separately from the first one in the 8!

Here have to know that it’s really the same since if each person looks to their left and their right and here they’re sitting next to the same person. Then here there are 8 such “identical rotations” for each possible seating arrangement so the total number of seating's is calculated as,

=> 8! / 8

=> 7! = 5040.

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Non-parametric tests are statistical tests that do not require specific assumptions about the population distribution, such as normality or equal variances. They are useful in situations where the data does not meet the assumptions of parametric tests, or when the variables are ordinal or categorical.

There are some additional examples of non-parametric tests.

Hence, non-parametric tests offer a flexible alternative to traditional parametric tests and can be useful in a variety of situations.

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Answer:

-24

Step-by-step explanation:

??

Answer:

-24

Step-by-step explanation:

Answer:

Multiply the denominator of the fractional part by the whole number, and add the result to the numerator.

Step-by-step explanation:

You can add or subtract mixed numbers by turning them to improper fractions first. Improper fractions are fractions where the numerator is greater than the denominator.

Answer:

(4, -2)

Step-by-step explanation:

The midpoint of two points is found by averaging the X coordinates and averaging the Y coordinates to create a new pair.

X: (5+3)/2     = 4

Y: (-10+6)/2   = -2

Answer:

(4,-2)

Step-by-step explanation:

add the x and divide by two. do the same with the y. this is the same as finding the average

Step-by-step explanation:

Volume of a sphere is given by the formula

4/3 pi r^3       diameter = 6.3 cm  so radius, r = 3.15 cm

4/3 * pi * (3.15)^3 = 130.9 cm^3