It asks me to find the values of the indicated variables which are x,y,z,w,v.

Answer:

Step-by-step explanation:

Answer:

y = 4x -3

Step-by-step explanation:

Answer:

Domain: {-10, -8, -6, -4}

Range: {-5, -4, -3, -2}

Step-by-step explanation:

The domain is a set of all the x's. Here you were given points and the first number in the parenthesis is the x in (x, y). Sometimes they will give you a table or a graph. But domain is all the x's gathered together. I put them in order from small to big to be neat. There aren't any repeats here, but if there ever are repeats you don't have to list them multiple times, just once.

The range is all the y's in the points (x, y) its the second number. Gather all the y's in a set, that is the range.

Answer:

I hope this helps you out

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The given statement in the form of inequality is given as -

c - 6 > 24.

An inequality is used to make unequal comparisons between two or more expressions. For example → ax + b > c

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the statement as -

"Six subtracted from c is greater than 24"

We can write the inequality as -

c - 6 > 24

Therefore, the given statement in the form of inequality is given as -

c - 6 > 24.

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{Question in english -

Six subtracted from c is greater than 24}

To find the magnitude and direction of a vector using trigonometry, you can follow these steps:

1. Identify the components of the vector: A vector can be represented by its horizontal (x) and vertical (y) components. For example, if we have a vector A with components Ax and Ay, we can express it as A = (Ax, Ay).

2. Calculate the magnitude of the vector: The magnitude of a vector is the length of the vector. To find the magnitude of a vector A, you can use the Pythagorean theorem. The formula is:
  magnitude(A) = √(Ax^2 + Ay^2)

3. Find the direction of the vector: The direction of a vector can be given in different forms, such as angles or degrees. Two common ways to express the direction of a vector are:
  a. Angle with the positive x-axis: This angle is measured counterclockwise from the positive x-axis to the vector. You can use trigonometric functions to find this angle. The formula is:
     angle = arctan(Ay / Ax)
  b. Angle with the positive y-axis: This angle is measured counterclockwise from the positive y-axis to the vector. To find this angle, you can subtract the angle obtained in step 3a from 90 degrees (or π/2 radians).

4. Convert the direction to degrees or radians, depending on the required format.

Let's consider an example to illustrate these steps:

Suppose we have a vector A with components Ax = 3 and Ay = 4.

1. Identify the components: A = (3, 4).

2. Calculate the magnitude:
  magnitude(A) = √(3^2 + 4^2) = √(9 + 16) = √25 = 5.

3. Find the direction:
  angle = arctan(4 / 3) ≈ 53.13 degrees.

4. Convert the direction:
  angle with positive y-axis = 90 degrees - 53.13 degrees ≈ 36.87 degrees.

So, the magnitude of vector A is 5, and its direction is approximately 36.87 degrees with a positive y-axis.

Remember, trigonometry can be used to find the magnitude and direction of a vector when you have its components.

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Answer: send the full question

Step-by-step explanation:

Answer:

840 megabytes

Step-by-step explanation:

hope this helps

Increasing marginal productivity infers that extra units of capital and labor contribute more to yield, driving productive asset allotment. ∝ and ß < 1 expect reducing returns, adjusting with reality.

To appear that the generation work has to expand the marginal productivity of capital (in case ∝ > 1) and labor (on the off chance that ß > 1), we ought to take fractional subsidiaries with regard to each input calculation. For capital (K), the fractional subsidiary of the generation work is:

\(\dfrac{dy}{dK }= \alpha AK^{(\alpha-1)}L^\beta\)

Since ∝ > 1, (∝ - 1) is positive, which implies that the fractional subordinate \(\dfrac{dy}{dK}\) is positive. This shows that an increment in capital input (K) leads to an increment in yield (y), appearing to expand the marginal efficiency of capital.

Additionally, for labor (L), the fractional subordinate of the generation work is:

\(\dfrac{dy}{dL} = \beta AK^{\alpha}L^{(\beta-1)}\)

Since \(\mathbf{\beta > 1, (\beta-1)}\) it is positive, which implies that the halfway subordinate \(\dfrac{dy}{dL}\) is positive. This demonstrates that an increment in labor input (L) leads to an increment in yield (y), appearing to increase the marginal productivity

The economic importance of increasing marginal productivity is that extra units of capital and labor contribute more to yield as their amounts increment.  This suggests that the more capital and labor a firm employments, the higher the rate of increment in yield. This relationship is vital for deciding the ideal assignment of assets and maximizing generation effectiveness.

In most generation capacities, it is accepted that ∝ and ß are less than 1. This presumption adjusts with experimental perceptions and financial hypotheses.

In case ∝ or ß were more prominent than 1, it would suggest that the marginal efficiency of the respective factor increments without bound as the calculated input increments.

In any case, there are decreasing returns to scale, which suggests that as calculated inputs increment, the Marginal efficiency tends to diminish. Therefore, accepting ∝ and ß are less than 1 permits for more reasonable modeling of generation forms and adjusts with the concept of diminishing marginal returns.

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Answer:

#1: -2x

#2: 6p + 11

#3: 5k + 1

#4: -2n - 15

Step-by-step explanation:

For independent events, P(B | A) = P(B). For independent events, the occurrence of event A does not affect the probability of event B occurring.

Therefore, the conditional probability of event B given event A, denoted as P(B | A), is equal to the probability of event B, denoted as P(B). This can be mathematically expressed as:

P(B | A) = P(B)

In other words, if A and B are independent events, knowing that event A has occurred does not provide any additional information about the probability of event B occurring. The probability of event B occurring remains the same whether or not event A has occurred.

This property of independence is a fundamental concept in probability theory and is used in many real-world applications, such as in calculating the likelihood of multiple events occurring together, predicting the outcomes of games and sports, and analyzing financial risks.

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Explanation:

Pick any two rows from the table to form (x,y) points

I'll select the first two rows.

(x1,y1) = (-4,-3) from row 1

(x2,y2) = (0,-2) from row 2

Plug those values into the slope formula

m = (y2-y1)/(x2-x1)

m = (-2-(-3))/(0-(-4))

m = (-2+3)/(0+4)

m = 1/4

The slope is 1/4, which is also the rate of change.

Answer:

Step-by-step explanation:

\(3^{y}\) + 1 = 1/9

3^y = -8/9

5^y/125^x = 125

5^y/5^3x = 125

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

y-3x = 3

Your question is incorrect as 3^x can never be negative.

But, now you know y - 3x = 3, so, use this to get the values when you reconsider the correct question.

Thanks

The relation "r" defined on the set of people, where xry if x is older than y, is not a partial ordering. The first paragraph will provide a summary of the answer, and the second paragraph will explain why the relation fails to satisfy the properties of a partial ordering.

Reflexivity: For every person x, x must be older than or equal to themselves. In this case, the relation holds true since a person is always older than or equal to themselves.

Antisymmetry: If x is older than y and y is older than x, then x and y must be the same person. However, in this case, the relation does not satisfy antisymmetry because two different people can have different ages. For example, person A can be older than person B, and person B can be older than person C, but person A and person C can still be different individuals.

Transitivity: If x is older than y and y is older than z, then x must be older than z. In this case, the relation satisfies transitivity since if person A is older than person B and person B is older than person C, then person A is older than person C.

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5. The constant of proportionality is 1.5

The equation is p = 1.5×s

6. The constant of proportionality is 1.99

The equation is p = 1.99 × a

7. The variables Number of Pens and Cost  are not proportional

Please find attached the required graph

8. The variables Number of minutes and Words Typed are not proportional

Please find attached the required graph

The procedure for finding the answers are as follows;

5. The given data are presented as follows;

\(\begin{array}{ccc}Shirts \ (s)&&Profit \ (p)\\5&&7.50\\10&&15.00\\15&&22.50\end{array}\)

Where two variables, s and p are proportional, we get;

p ∝ s

Therefore;

p = C × s

C = p/s

Where;

C = The constant of proportionality

Therefore, the constant of proportionality, C, of the given variables, (number of shirts, s, and profit, p, is found as follows;

C = 7.50/5 = 15.00/10 = 22.50/15 = 1.5

The constant of proportionality, C = 1.5

The equation that relates the two values is p = 1.5×s

6.  For the apples to price relationship, we have;

\(\begin{array}{ccc}Apples \ (a)&&Price\ (p)\\4&&7.96\\5&&9.95\\6&&11.94\end{array}\)

Therefore;

p ∝ a

p = C × a

C = p/a

Plugging in the values gives;

C = 7.96/4 = 9.95/5 = 11.94/6 = 1.99

The constant of proportionality, C = 1.99

Therefore, the equation relating the two values is p = 1.99 × a

7. The given data is presented in a tabular form as follows;

\(\begin{array}{ccc}Number \ of \ pens &&Cost\ \\1&&52\\2&&54\\3&&56\\4&&58\end{array}\)

A set of data is proportional or has a proportional relationship if their x, and therefore, y-intercept is (0, 0)

From the graph of the data, created with MS Excel, the y-intercept is 50 which is not equal to zero, therefore, the relationship between the data is not a proportional relationship

8. The given data is presented in a tabular form as follows;

\(\begin{array}{ccc}Number \ of \ Minutes&&Words \ Typed\ \\1&&50\\2&&90\\3&&140\\4&&180\end{array}\)

From the graph of the data, we have that the y-intercept of the line of best fir is 5, therefore, the relationship is not a proportional relationship

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The following are the rules of monomials and exponents that are used:

Monomials: It is a polynomial with one term, where each term consists of a coefficient and a variable.

The coefficients and variables are multiplied together and each of the products that is obtained is known as monomial.

For example, 4x, 3x², 5x²y, 10, 2x³, etc.

Exponent: The exponent of a number says how many times to use the number in multiplication.

For example, in ³⁴, 3 is the base, 4 is the exponent, and ³⁴ means 3 multiplied by itself 4 times. 3 x 3 x 3 x 3 = 81.Rules:Product rule:

When multiplying monomials that have the same base, add the exponents.

For example, a³ x a² = a³+² = a⁵. Anything to the zero power equals 1.

For example, x⁰ = 1.

Answer key: The answer key will include solutions for all the given questions that are present in the worksheet. Each problem in the worksheet has to be answered using the above rules of monomials and exponents.

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120 meters = 120 x 1.09361 yards = 131.2332 yards. Multiplying by 10 to get the answer in tenths, we get: 120 meters = 1312.332 tenths of a yard.

To convert 120 meters to yards, we can use the conversion factor of 1 meter = 1.09361 yards. Multiplying 120 meters by this conversion factor gives us the length in yards, which is approximately equal to 131.2332 yards. To express the answer in tenths, we can multiply by 10 to get 1312.332 tenths of a yard. This means that 120 meters is equal to 1312.332 tenths of a yard. The conversion factor is a ratio of equivalent measurements and is used to convert between different units of measurement.

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Answer:

One solution at (-4, -22)

Step-by-step explanation:

5x - y = 2

y = 5x - 2 --(1)

2x - 0.5y = 3 --(2)

sub (1) into (2):

2x - 0.5(5x - 2) = 3

2x - 2.5x + 1 = 3

-0.5x = 2

x = -4

when x = -4, y = 5(-4) - 2 = -22

The nature of the solution set to the system of equations are,

⇒ One solution at (-4,-22).

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equations are,

5x - y = 2   .. (i)

2x - 0.5y = 3  .. (ii)

Now, We can simplify as;

From (i);

5x - y = 2

y = 5x - 2

Put above value in (ii);

2x - 0.5 (5x -2) = 3

2x - 2.5x + 1 = 3

- 0.5x = 2

x = - 4

From (i);

y = 5 × - 4 - 2

y = - 20 - 2

y = - 22

Thus, The nature of the solution set to the system of equations are,

⇒ One solution at (-4,-22).

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Standard Deviation statistic of the sampling distribution is used in calculating the margin of error for a confidence interval of the population mean.

Basically, the margin of error is stated as follows:

Error margin, E = Z* (Standard deviation)

Therefore, the calculation of the margin of error does not employ the mean at all.

The margin of error is computed using the standard deviation.

The term "standard deviation" reveals that a measurement of the data's dispersion from the mean. While a high standard deviation indicates that the data are more spread or dispersed, a low standard deviation suggests that the data are clustered or gathered around the mean.

It depicts the average deviation of each score from the mean. A high standard deviation in a normal distribution denotes that values are often far from the mean, while a low standard deviation denotes that values are grouped together around the mean.

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The rate at which the water level is rising when it is 5 meters high is approximately 0.477 m/min

The volume of a conical tank:
V = (1/3)πr^2h
where V is the volume of the tank, r is the radius, and h is the height.
Differentiating both sides with respect to time, we get:
dV/dt = (1/3)π(2rh dr/dt + r^2 dh/dt)
Where dV/dt is the rate at which the volume is changing (in m^3/min), and dr/dt and dh/dt are the rates at which the radius and height are changing, respectively.
We know that water is pouring into the tank at a rate of 6m^3/min, so we can substitute this value for dV/dt. We also know that the height of the water level is rising, so dh/dt is what we need to find. Finally, we know that when the water level is 5 meters high, the radius of the water surface can be found using similar triangles:
r/h = 4/10
r = (4/10)h = 0.4h
Now we can substitute all of these values into the formula and solve for dh/dt:
6 = (1/3)π(2(0.4h)(dh/dt) + (0.4h)^2 dh/dt)
6 = (1/3)π(0.8h + 0.16h^2) dh/dt
dh/dt = 6 / [(1/3)π(0.8h + 0.16h^2)]
When the water level is 5 meters high, h = 5, so:

dh/dt = 6 / [(1/3)π(0.8(5) + 0.16(5)^2)]

dh/dt = 0.477m/min

Therefore, the rate at which the water level rises when it is 5 meters high is approximately 0.477 m/min.

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Answer:

the answer is 1 office=500 16=8000

Answer:

$500 to clean one office

$8,000 to clean 16 offices

Step-by-step explanation:

Answer:

The answer should be -35y + 13x + 14. As you can clearly see, you can't break it down any further than this. That's because y and x are completely different. Plus, 14 isn't part of a variable.

Answer:

-1 and - 6

Step-by-step explanation:

Since you cannot have the denominator 0..... - 1 and - 6

make the denominator 0. Therefore they are excluded values

Answer:

Step-by-step explanation:

m^(10-5) or (m*m*m*m*m*m*m*m*m*m)/(m*m*m*m*m)

m^5

Answer:

the $25 one

Step-by-step explanation:

70% of 30 is 21, so you will be paying $9.

But if you use the $25 one you will only be paying $5.

Hope this helps!! :)

Answer:

$25 coupon would be a better deal.

Step-by-step explanation:

30 * 0.70 = 21

70% of $30 is $21

So the $25 coupon will help save more money.

Answer:

6.47

Step-by-step explanation:

1.99/1 lb= x/3.25lb

3 1/4=3.25

Cross multiply

X=(1.99)(3.25)=6.47

Answer:

2 units

Step-by-step explanation:

From one crest (high point) to the next crest  point is one period....

  this covers 2 units on this graph

The point(s)) where the fire road intersects the outer boundary of the service area is found using the equation of circle which is (0,20) and (-12,-16).

What is the equation of circle?

A circle is a closed curve that extends outward from a set point known as the centre, with each point on the curve being equally spaced from the centre. A circle with a (h, k) centre and a radius of r has the equation:

(x-h)² + (y-k)² = r²

The equation of the circle is given as - x² + y² = 400 .... (1)

The equation of the fire road is given as - y - 3x = 20 .... (2)

Write the equation of fire road in slope-intercept form - y = mx + b

y = 3x + 20

Substitute the value of y in equation (1) -

x² + y² = 400

x² + (3x + 20)² = 400

Follow the (a + b)² rule, (a + b)² = a² + 2ab + b²

x² + (3x + 20)² = 400

x² + 9x² + 120x + 400 = 400

10x² + 120x + 0 = 0

x² + 12x = 0

x(x+12) = 0

x = 0, x = -12

Substituting the values of x in equation (2).

First calculate for x = 0.

y - 3x = 20

y - 3(0) = 20

y = 20

Now, calculate for x = -12.

y - 3x = 20

y - 3(-12) = 20

y + 36 = 20

y = 20 - 36

y = -16

Therefore, the points of intersection are (0,20) and (-12,-16).

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