Give 5 Examples of Linear Equation in Two Variables​

Answer:

include fourteen department secretaries and the attorney general, plus other top officials chosen by the president.

Step-by-step explanation:

The Cabinet of the United States of America is a government body which includes the vice president along with the heads executive branch. The President of the United States in the executive head of the body.

It mainly consists of the secretaries of 14 departments as well as the attorney general and other officials who are chosen by the President of the US.

The constraint(s) to ensure that the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1 is:

3X3 <= 4X2

This constraint states that the number of 3 bedroom rentals (X3) must be less than or equal to four times the number of 2 bedroom rentals (X2). This ensures that the ratio of 3 bedroom rentals to 2 bedroom rentals does not exceed 4 to 1.

For example, if there are 10 2 bedroom rentals (X2), the constraint would be:

3X3 <= 4(10)
3X3 <= 40

This means that the number of 3 bedroom rentals (X3) cannot exceed 40.

The constraint to ensure the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1 is 3X3 <= 4X2.

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Answer:

7.62

Step-by-step explanation:

length* width* height = 3/2*1/2*4=7.62 cm

Answer:

33.25

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

12............................

Step-by-step explanation:

The graph of g and f have equal intercepts while the slope of the graph of f is 5 times larger than the slope of the graph of g

Given: f(x) = 2x-5 and g(x)=2(0.2x)-5

To compare the two graphs, we can make use of the equation of a line:

The general form of the equation of a line is y = mx + c

Where m is the slope and c is the intercept

So we will compare two the functions with the equation of a line:

Comparing f(x) = (2x-5) with y = mx + c

The slope(m) of the line = 2 and the intercept(c) = -5

Also, comparing g(x) = 2(0.2x)-5 with y = mx + c

The slope(m) of the line = 2(0.2) = 0.4 and the intercept(c) = -5

Since the slope of f(x) = 2 and the slope of g(x) = 0.4. Thus:

slope of f(x) / slope of g(x)  = 2/0.4 = 5

So we can say the slope of  f(x) is  5 times the slope of g(x)

Therefore, the graph of g and f have the same intercept. But the slope of f(x) is  5 times the slope of g(x)

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Answer:

The integral diverges.

Step-by-step explanation:

∫₀ᵉ 1/x dx

(ln|x| + C) |₀ᵉ

ln|x| is undefined as x approaches 0, so the integral diverges.

Answer:

y = 3x + 30

Step-by-step explanation:

This is what the table should look like.

Number of Bars Sold (x)           Total Earnings (dollars) (y)

0                                                 30

1                                                  33

2                                                 36

3                                                 39

When x = 0, y = 30. The point (0, 30) is the y-intercept.

As x goes up by 1, from 0 to 1, from 1 to 2, from 2 to 3, y goes up by 3, from 30 to 33, from 33 to 36, from 36 to 39.

A change of 1 in x results in a change of 3 in y.

That is a slope of 3 since

slope = (change in y)/(change in x)

The equation of a line in slope-intercept form is

y = mx + b

We have m = 3 and b = 30, so the equation is

y = 3x + 30

Answer: 3x + 30

an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is t minimize the time it takes to travel from $a$ to $b$?

The measure of angle PQR is given as follows:

To obtain the measure of angle PQR, first we verify if the triangle PQR is a right triangle or not.

To verify if the triangle is a right triangle we apply the Pythagorean Theorem, which states that the length of the hypotenuse squared is equals to the sum of the lengths of each side squared, in the case of a right triangle.

Hence, for this problem, considering the side lengths, we have that:

10² = 6² + 8²

100 = 36 + 64

100 = 100.

Which is true, hence this is in fact a right triangle and the measure of angle PQR is of 90º.

The problem asks for the measure of angle PQR.

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In the top right corner is -7x since we multiply the x and -7

In the bottom row, we'll have 5x for the first box and -35 for the second box. Each box is the result of multiplying the outer values.

In the top left corner, the x^2 is from multiplying the two copies of x.

Answer:

It will take Richard 12 minutes to type 720 words.

Step-by-step explanation:

720 ÷ 60 = 12

Answer:

what do you want the slope? The y cordinate is where the points are on the y axis.

Step-by-step explanation:

Answer:

9(x + 3)

Step-by-step explanation:

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The sample mean for the number of employees calling in sick over the 12 days is 24.25.

To find the sample mean, we need to calculate the average of the given numbers. The numbers represent the number of employees who called in sick over 12 days.

The number of employees calling in sick for the 12 days provided are: 24, 36, 19, 21, 29, 29, 24, 14, 18, 30, 22, and 15.

To find the sample mean, we sum up all the numbers and divide by the total number of days (12 in this case).

Sum of the numbers: 24 + 36 + 19 + 21 + 29 + 29 + 24 + 14 + 18 + 30 + 22 + 15 = 291

Sample mean = Sum of numbers / Number of days = 291 / 12 = 24.25.

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a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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a. Based on the given statistic that 85% of vehicles use E-Z Pass, we can expect 85% of the 12 cars to also use E-Z Pass.

Expected number of vehicles using E-Z Pass = 0.85 x 12 = 10.2

b. The mode of the distribution is the value that appears most frequently in the data set. In this case, the mode is 10 (since we cannot have a fraction of a car). The probability associated with the mode is not relevant in this context since mode is a measure of central tendency and not a probability measure.

c. To find the probability that seven or more of the sampled vehicles use E-Z Pass, we can use the binomial distribution formula:

P(X ≥ 7) = 1 - P(X < 7)

where X is the number of vehicles that use E-Z Pass and P(X < 7) is the probability that less than seven vehicles use E-Z Pass.

We can use the binomial probability formula to calculate P(X < 7):

P(X < 7) = Σ [(n choose x) p^x (1-p)^(n-x)] where n=12, x=0,1,2,3,4,5,6 and p=0.85

P(X < 7) = 0.0019 + 0.0148 + 0.0662 + 0.1790 + 0.3119 + 0.3248 + 0.1760

P(X < 7) = 1 - P(X ≥ 7) = 1 - 0.6748 = 0.3252

Therefore, the probability that seven or more of the sampled vehicles use E-Z Pass is:

P(X ≥ 7) = 1 - P(X < 7) = 1 - 0.3252 = 0.6748

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Answer:

sorry dont know

Step-by-step explanation:

Sarah earns $120 per week from her part-time job. To complete the table, we need to list her expenses.  Sarah's expenses may vary, but here are some common examples she might have:

1. Transportation: Sarah may spend money on bus fare or gas if she drives. This expense depends on her mode of transportation and how far she travels.
2. Food: Sarah needs to eat, so she may spend money on groceries or meals outside. The amount spent on food will depend on her eating habits and whether she eats out frequently or cooks at home.
3. Utilities: Sarah may have to pay for utilities like electricity, water, and internet. The cost of utilities can vary depending on the region and the size of her living space.

4. Rent/ Mortgage: If Sarah lives independently or contributes to household expenses, she may have to pay rent or contribute to a mortgage payment.
5. Entertainment: Sarah may have expenses related to leisure activities such as going to the movies, concerts, or other entertainment events.
These are just a few examples, and Sarah's actual expenses may differ. It's important for her to track her spending to understand where her money goes. By doing so, she can budget effectively and make informed financial decisions.

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Answer:

chord

Step-by-step explanation:

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc

Answer:

  2. 26.2 m

  3. 117.2 cm

Step-by-step explanation:

You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.

The circumference of a circle is given by ...

  C = πd . . . . . where d is the diameter

The length of the semicircle of diameter 12.6 m will be ...

  1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m

The two lighted sides of the rectangle have a total length of ...

  3.2 m + 3.2 m = 6.4 m

The length of the light string is the sum of these values:

  19.8 m + 6.4 m = 26.2 m

The length of the string of lights is about 26.2 meters.

The perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.

Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:

  C = 2πr

  C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm

The four straight sides total ...

  4 × 11.4 cm = 45.6 cm

The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:

  71.6 cm + 45.6 cm = 117.2 cm

The design has a perimeter of about 117.2 cm.

__

Additional comment

The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.

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Answer:

C. Yes, there is an outlier at 110. This means that one person's age was 110, which is 25 years older than the next closest age.

Step-by-step explanation:

An outlier is a data point that sticks out like a sore thumb. It's so different from the rest of the data that it makes you wonder if it's a mistake or a miracle. One way to spot an outlier is to use the 1.5IQR rule, where IQR stands for interquartile range. The interquartile range is the gap between the third quartile (Q3) and the first quartile (Q1) of the data. The 1.5IQR rule says that any data point that is more than 1.5*IQR above Q3 or below Q1 is an outlier.

In this case, the first quartile (Q1) is 75, the third quartile (Q3) is 85, and the interquartile range (IQR) is 10. So, any data point that is more than 1.5*10 = 15 above 85 or below 75 is an outlier. The only data point that does this is 110, which is 25 above 85. That means 110 is an outlier.

What does this outlier mean in this situation? It means that one person who came to the senior center that afternoon was way older than the rest of the folks. The average age of the visitors was not changed by this outlier, since it was just one out of 12 data points. But, the outlier does mess up the range and the standard deviation of the data, making them bigger than they would be without the outlier.

Answer:The answer is C

Step-by-step explanation:I did the test.

Answer: 83r^2 - 59 + 60

Step-by-step explanation:

R^2 - 59R - 82r^2 + 60

= 83r^2 - 59 + 60

The area of a circle is given by:

Where π ≅ 3.14 and d is the diameter of the circle.

Now, a semi-circle is a half of a circle, so its area is half of the area of the complete circle:

Replacing the value d = 14 in the last formula, we get:

Answer

The area of a semicircle with a diameter d =14 is approximately 76.97 units square.

"a" cannot be expressed as a function of "a," "b," and "c" without a specific equation or relationship. The partial derivative of "a" with respect to "a" is 1. The values of ∂a/∂b and ∂a/∂c cannot be determined without additional information about the relationship between "a," "b," and "c."

To express "a" implicitly as a function of "a," "b," and "c," we need a specific equation or relationship that involves these variables. Without such an equation, it is not possible to provide a direct expression for "a" as a function of those variables.

Regarding the partial derivatives, if we assume that "a" is a function of "a," "b," and "c," we can calculate the partial derivative of "a" with respect to "a" and the partial derivative of "a" with respect to "b" and "c."

The partial derivative of "a" with respect to "a" (written as ∂a/∂a) is equal to 1, as the derivative of a variable with respect to itself is always 1.

However, the calculation of the partial derivatives ∂a/∂b and ∂a/∂c depends on the specific relationship or equation involving "a," "b," and "c." Without that information, it is not possible to determine the values of those partial derivatives.

To summarize:

- "a" cannot be expressed as a function of "a," "b," and "c" without a specific equation or relationship.

- The partial derivative of "a" with respect to "a" is 1.

- The values of ∂a/∂b and ∂a/∂c cannot be determined without additional information about the relationship between "a," "b," and "c."

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The value for the expression 6 + 9w - 5s is 59.

You must substitute a number for each variable and carry out the arithmetic procedures to evaluate an algebraic expression. Since 6 + 6 equals 12, the variable x in the case above equals 6. If we are aware of the values of our variables, we can replace the variables with those values before evaluating the expression.

When the variables and constants of an expression are given values, the outcome of the computation it describes yields the expression's value. The quantity that the function assumes for these argument values is the value of the function, given the value(s) assigned to its argument(s).

The expression 6 + 9w - 5s when w = 7 and s = 2.

                          6 +(9*7 - 5*2) = 6+63 - 10 = 59.

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Answer:

i dont see boxes and yea

Step-by-step explanation:

Probability that 3 of them land tails-up = 5/16

Total number of outcomes = 2^5 = 32

Number of ways of getting 3 tails out of 5 coins = 5C3

\(5C3 = \frac{5!}{(5-3)!3!} \\5C3 = \frac{5!}{2!3!} \\5C3 = \frac{5*4}{2}\\5C3 = 10\)

Number of ways of getting 3 tails out of 5 coins = 10 ways

Probability that 3 of them land tails-up =

(Number of ways of getting 3 tails out of 5 coins) /Total number of outcomes

Probability that 3 of them land tails-up = 10/32 = 5/16

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The value of the equation x² - x + 3 is 37/9.

We have,

We can start by multiplying both sides of the equation by x:

2x - 3/x = x + 1

2x - 3 = x^2 + x

Rearranging and simplifying, we get:

x^2 - x + 3 = (2x - 3) + x^2

x^2 - x + 3 = x^2 + 2x - 3

-x + 3 = 2x - 3

5 = 3x

x = 5/3

Now we can substitute x into the equation x^2 - x + 3:

x^2 - x + 3 = (5/3)^2 - 5/3 + 3

x^2 - x + 3 = 25/9 - 15/9 + 27/9

x^2 - x + 3 = 37/9

Therefore,

The value of x² - x + 3 is 37/9.

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