Given rectangle C D E F below, DG = 15 If CG = 3x+6, solve for x

If negative sixteen plus the quotient of a number and 2 is 35, the number is 102.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = x

Negative sixteen plus the quotient of a number and 2 is 35.

This can be written as,

Quotient of a number and 2.

x ÷ 2 = M (quotient)

So,

-16 + M = 35

Now,

Solve for M.

M = 35 + 16

M = 51

Now,

x ÷ 2 = 51

x/2 = 51

x = 51 x 2

x = 102

Now,

We can cross-check.

-16 + 51 = 35

35 = 35

Thus,

The number is 102.

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The cost of a 15-minute call to this city would be $2.00.

The cost of a long-distance call to a certain city is typically $1.05 for the first minute and $0.15 for each additional minute or part thereof. This means that for each minute of the call, you will be charged $0.15 in addition to the first minute's charge. Therefore, for a 15-minute call to this city, you will be charged $1.05 for the first minute and 14 x $0.15 for the additional minutes, which comes to a total of $2.00. This price may vary depending on the phone carrier, but it is typically the same across the board. It is important to keep in mind that long-distance calls can become quite expensive, so it is important to be mindful of how much time you are spending on the phone.

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The command in Stata would be the most useful is reg when  you want to combine this with a dataset that reports how much each individual sleeps per week.

A collection of data is known as a data set (or dataset). In the case of tabular data, a data set relates to one or more database tables, where each row refers to a specific record in the corresponding data set and each column to a specific variable. The data set includes values for each of the variables, such as the object's height and weight, for each set member. Data sets may also include a group of files or documents.

For data management, visualisation, statistics, and automated reporting, Stata is a general-purpose statistical software programme created by StataCorp. Researchers in a variety of disciplines, such as science, biomedicine, epidemiology, and sociology, use it.

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The smallest integer value in the set is 7.

The grouping of positive and negative numbers is known as integers. Integers, like whole numbers, do not include the fractional portion. Integers can therefore be defined as numbers that can be positive, negative, or zero but not as fractions.

Since an integer is a whole number, it can reach both positive and negative infinity. 0 is the smallest non-negative number.

Consider the given term as -3(x-4) = 12

Then, -3x + 12 = 12

or, -3x = 0

or, x = 0

So, the value of x is either x > 0 or x < 0

Based on the given option, the smallest integer value is 7.

So, the required answer is 7.

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The area of the rose garden is 129 sq. ft.

Consider the following diagram.

The dimensions of the rectangular garden:

length = 15 ft and width = 9 ft

Using the formula for the area of rectangle,

The area of the rectanguler garden would be,

A₁ = 15 × 9

A₁ = 135 ft²

In the center of the garden, she puts a smaller rectangular patch of grass. And the dimensions of the grass is 2 feet by 3 feet.

The area of rectangular patch is:

A₂ = 2 × 3

A₂ = 6 ft²

So, the area of the rose garden would be,

A = A₁ - A₂

A = 135 - 6

A = 129 ft²

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Find the complete question below.

Answer:

  domain: x ≥ 2

Step-by-step explanation:

Given a function with domain x ≥ -5 and range y ≥ 2, you want the domain of its inverse.

The domain of an inverse function is the same as the range of the function.

The domain is x ≥ 2.

__

Additional comment

If a function tells you ...

  y = f(x)

The inverse function is ...

  x = f(y)   ⇒   y = f⁻¹(x)

The domain and range of the inverse function are swapped from those of the original function.

If Hank bought a 4 room home for a rental, and he put 20% down on the $300,00. 00 rental unit, the annual depreciation amount would be $8,727.27 .

To determine the depreciation amount, we first need to determine the depreciable basis of the rental property. The depreciable basis is the portion of the property's value that can be depreciated over time.

In this case, Hank put 20% down on a $300,000 rental unit, which means he paid $60,000 as a down payment. Therefore, the depreciable basis of the rental property is the remaining $240,000 ($300,000 - $60,000).

The IRS allows rental property owners to depreciate the depreciable basis of their property over 27.5 years using the straight-line method. To calculate the annual depreciation amount, we divide the depreciable basis by the number of years of useful life.

So, in this case, the annual depreciation amount would be $8,727.27 ($240,000 / 27.5). This means that Hank would be able to deduct $8,727.27 from his rental income each year for 27.5 years to account for the wear and tear of the property.

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Where the above condition exists, the probability that the lawn mower will not start on the first try exactly once out of the next two times you mow the lawn is 5/18, or approximately 0.278.

We can calculate the probability that the lawn mower will not start on the first try exactly once out of the two rounds using a binomial probability distribution.

Let's define a success as the lawn mower starting on the first try, and a failure as the lawn mower not starting on the first try.

The probability of a success is p = 5/6, since the lawn mower does not start on the first try 1/6 of the time.

The probability of a failure is q = 1/6.

The probability of getting exactly one failure out of two trials can be calculated using the binomial probability formula:

P(X = 1) = (2 choose 1) * (5/6)^1 * (1/6)^1

where (2 choose 1) is the number of ways to choose one failure out of two trials.

Simplifying this formula, we get:

P(X = 1) = 2 * 5/6 * 1/6

P(X = 1) = 5/18

Therefore, the probability that the lawn mower will not start on the first try exactly once out of the next two times you mow the lawn is 5/18, or approximately 0.278.

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Answer:  a. What is the proportion of current smokers among the 1685 high school students surveyed?

The proportion of current smokers among the 1685 high school students surveyed is 437/1685 = 0.259 or 26%.

b. What is the point estimate for the population proportion of all high school students who smoke?

The point estimate for the population proportion of all high school students who smoke is 0.259.

c. What is the 95% confidence interval for the population proportion of all high school students who smoke?

The 95% confidence interval can be calculated using the formula:

point estimate ± 1.96 * standard error

where standard error = square root of (point estimate * (1 - point estimate) / sample size)

standard error = square root of (0.259 * (1 - 0.259) / 1685) = 0.012

95% confidence interval = 0.259 ± 1.96 * 0.012

= 0.259 ± 0.023

= [0.236, 0.282]

So, the 95% confidence interval for the population proportion of all high school students who smoke is between 23.6% and 28.2%.

Step-by-step explanation:

An equation of the line that passes through the given point and is perpendicular to the line shown in the graph are:

11. y = 5x - 1

12. y = 5x + 6

13. y = 5x + 23

14. y = 5x − 18

If two geometric objects in fundamental geometry intersect at a right angle, they are perpendicular. The perpendicularity condition is graphically represented by the perpendicular symbol (║). It can be defined between two lines, between a line and a plane, or between two planes.

The slope of the line in graph

m = (3 -(-2))/(-2 - - 1)

m = − 5

For perpendicular to the given line the slope is always opposite sign and reciprocal i.e.

m = 3/5

11. (1, 4)

y - 4= 5(x - 1)

y - 4= 5x - 5 +4

y = 5x - 1

12. (0, 6)

y - 6 = 5(x - 0)

y = 5x + 6

13. (-5, -2)

y - (-2) = 5(x - (-5))

y = 5x + 23

14. (3, -3)

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

y = 5x − 18

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The puddle is 29.8 feet away from his residence.

The angle of depression is the angle formed by the horizontal line and the horizontal line's observation of the item.

From the given diagram, we need to calculate the distance of the puddle from his house. This is the adjacent side of the triangle.

Using trigonometry identity;

tan 40 = opposite/adjacent

tan 40 = 25/d

d = 25/tan40

d = 29.8 feet

Hence the distance of the puddle from his house is 29.8 feet

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The distance between point R(3, 1) and S(3, -6) is 7 units

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is:

[tex]AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Point R is located at ( 3, 1) and point S is located at ( 3, -6). Hence:

[tex]RS=\sqrt{(-6-1)^2+(3-3)^2}=7\ units[/tex]

The distance between point R and S is 7 units

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Answer:

Step-by-step explanation:

just count down which gives you 7

If d = 1/8t and t is a time and d is a distance then in this expression 1/8 is representing speed of the object.

The distance covered by the object is equal to the product of the speed at which the object is moving and time taken for covering the distance.

Distance = Time × Speed

Given that,

The expression,

d = 1/8t

where,

t = time

d = distance

which parameter 1/8 is indicating ?

The equation d = 1/8t describes a function that relates time (t) and distance (d) traveled.

The parameter 1/8 in the expression d = 1/8t is the rate of change of distance with respect to time.

It represents the amount of distance traveled in one unit of time.

In this case, 1/8 is the speed or velocity of the object being considered. It tells us that for every unit of time that passes, the distance traveled by the object increases by 1/8 units.

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Answer: Let's call the length of the brick "l". Then, the width is "l - 4" and the height is "l - 6".

The volume of the brick can be expressed as:

V = l * (l - 4) * (l - 6)

Since each mold holds 576 cubic inches of mud, we can set the volume of the brick equal to 576 and solve for l:

l * (l - 4) * (l - 6) = 576

Expanding and simplifying the left side of the equation, we get:

l^3 - 10l^2 + 24l - 576 = 0

This is a cubic equation, and finding the exact value for l can be difficult. However, we can use numerical methods, such as the bisection method or Newton's method, to find an approximate value.

Step-by-step explanation:

Answer: 5 hrs

Step-by-step explanation:

650 miles (total distance) / 130 miles (speed per hour)

= number of hours it takes to get to Paris from Barcelona

650/130

= x

x = 5 hrs

Answer: The correct answer is 5 hours.

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Answer 26550

Step-by-step explanation:

The limit of the function in this problem is given as follows:

lim x->0 f(x) = 1/2.

Following the standard procedure to obtain the limit of the function, merely obtaining the numeric value at x = 1, the limit is undetermined at x = 0, as follows:

0/0.

Hence the can apply the L'Hospital Rule, trying to find the derivative at the numerator and the denominator, hence:

At x = 0, the limit would again assume an undetermined value of 0/0, hence the L'Hospital Rule is applied again, hence:

Now the function is:

f(x) = cos(2x)sqrt(cos(2x))/2.

Since cos(x) = 0, the numeric value at x = 0 is given as follows:

f(0) = 1/2.

Which is the limit.

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Answer:

26

28

29

Step-by-step explanation:

[tex]m = a + 20[/tex]

Anywhere you see the letter a, you'll plug in the given a number.

The first one is 6, meaning

[tex]m = 6 + 20 = 26[/tex]

Then we do the same for the others.

Step 1: Calculate the area of the room. To calculate the area of the room, multiply 12 feet by 15 feet, which gives us a total of 180 square feet.

Step 2: Calculate the area of one tile. To calculate the area of one tile, multiply 113 feet by 113 feet, which gives us a total of 1.369 square feet.

Step 3: Calculate the number of tiles needed. To calculate the number of tiles needed, divide the area of the room (180 square feet) by the area of one tile (1.369 square feet). This gives us a total of 131 tiles.

Therefore, 131 tiles are needed to cover the entire floor.

Start by multiplying the tile's length by its breadth in inches to determine the tile's square footage. Lastly, multiply the area of one tile by the determined size of the space. The outcome is the precise quantity of tiles needed for the space.

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The amount Micah withdrew can be represented as a rational number as 4.5 or 9/2.

A rational number is a number that can be expressed as the ratio of two integers. In this situation, we can represent the amount Micah withdrew as a rational number by expressing it as a fraction.

To do this, we can treat the dollar amount as a whole number (i.e. 4 dollars), and the cents amount as another whole number (i.e. 50 cents), and then express the total amount as a fraction with the sum of these two whole numbers as the numerator and 100 as the denominator (since there are 100 cents in a dollar).

So, the rational number representation of Micah's withdrawal would be:

(4 * 100 + 50) / 100 = 450 / 100 = 9 / 2

In other words, Micah withdrew 9/2 dollars from his bank account.

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The sign of the expression is positive, since the result is positive.

An algebraic expression is a mathematical phrase that can contain numbers, variables, and operations. Algebraic expressions are used to represent mathematical relationships and can be simplified, evaluated, and solved for particular values of the variables.

Algebraic expressions can be simple, such as a single variable or number, or complex, involving multiple variables, operations, and grouping symbols, such as parentheses. For example, the expression "x + 2" is a simple algebraic expression, where "x" is the variable and "2" is the constant term.

In algebra, variables are used to represent unknown values and the goal is often to find the value of these variables that satisfy a given condition or equation. Algebraic expressions can be simplified by combining like terms and applying the properties of arithmetic operations.

Algebraic expressions are also used to represent mathematical functions. A function is a relationship between an input value and an output value, where each input value corresponds to exactly one output value. Algebraic expressions can be used to define a function, and can also be used to find the value of the function for a particular input.

The expression 39 11 13​ +(−41 131​ )39, 11/13 + (−41/13) simplifies to 39 11 13​ +(−41 131​ )39, 11/13 + (−41/13) = 39 11 13 - 41 131​ = (39 × 13 - 41 × 11) / 13 = (507 - 451) / 13 = 56 / 13 = 4.

The sign of the expression is positive, since the result is positive.

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Answer:: 80% of 22 is 16.

Answer:

80% of 22 is 16. Hope I helped you!!

The information given is not sufficient to solve for the number of hours the remaining 2 tractors worked to finish harvesting the field.

To solve for this, additional information is required such as the mowing speed of each tractor, the size of the field, and the amount of the field that was mowed before the 3 tractors left the job.

With this information, you can determine the total mowing time required to mow the entire field, and then subtract the 6 hours the 5 tractors worked together to find the time the remaining 2 tractors worked.

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Answer:(1,7.5)

Step-by-step explanation:

Use Midpoint Formula

The numbers that are possible for Janet's number are 335, 36, and 37.

We start by finding the value of n using the equation n > 56 - 22. Solving this equation, we get n > 34.

So, Janet's number must be greater than 34, and it must be a two-digit positive whole number. Based on this, we can conclude that the following numbers are possible for Janet's number:

1. 35

2. 36

3. 37

These numbers are possible because they meet the criteria of being two-digit positive whole numbers and greater than 34.

Hence, the required three numbers are 35, 36, and 37.

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The two resulting equations are set equal to one another and solved for the values of the variables. Therefore, the solution to the system of equations is x = 3 and y = -45.

The equal values method is a way of solving systems of equations. It involves isolating each variable on its own side of the equation and then setting the two equations equal to one another. This results in an equation with only one variable, which can then be solved. For example, the system of equations given is -8x - 21 = 6x + 7. To solve this system with the equal values method, one must first isolate the variables. The first equation can be rearranged to -8x = 21 + 6x, and then solved for x to find x = 3. Then, the same value of x can be substituted into either of the original equations to solve for y. For example, substituting x = 3 into the first equation gives -8(3) - 21 = -24 - 21 = -45, so y = -45. Therefore, the solution to the system of equations is x = 3 and y = -45.

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The equivalent function in the form [tex]R(t) = ab^t[/tex] is: [tex]R(t) = 4001 * 0.9^t.[/tex]

What is an equivalent function?

The domain and range of an equivalent function are the same. In mathematics, the phrases equivalent and equal do not have the same meaning.

The equation R(t) = 4000(0.9)^t + 1 can be rewritten in the form [tex]R(t) = ab^t[/tex]by separating the constant factor and the exponential factor. We can do this by defining a = 4000 and b = 0.9:

 [tex]R(t) = 4000 * (0.9)^t + 1\\\\= 4000 * b^t + 1\\\\= (4000 + 1) * b^t\\\\= 4001 * b^t\\\\= ab^t[/tex]

where, a = 4001 and b = 0.9.

So, the equivalent function in the form [tex]R(t) = ab^t[/tex] is:

[tex]R(t) = 4001 * 0.9^t.[/tex]

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