Graph the solution set of the inequality −6 1/2y+9>−17 on the number line

The original price of her purchase is $18

From the question, we have the following parameters that can be used in our computation:

Discount = 10%

Savings = $18

This implies that

Savings = discount * Original amount

So, we have

Original amount = savings/discount

Substitute the known values in the above equation, so, we have the following representation

Original amount = 18/10%

Evaluate

Original amount = $180

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The total height in feet of the  piece of plywood is 14 foot.

The theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the square of the other two sides.

The Pythagoras theorem: a² + b² = c²

where a = length

b = base

c = hypotenuse

13² = 5²  + h²

169 = 25 + h²

h²  = 169 - 25

h²  = 144

h = √144

h = 12 foot

12 + 2 = 14 foot

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Answer:

62

Step-by-step explanation:

1. To find the total area, we must find the area of the three individual gardens and sum them together

2. Since the gardens are square, the area is equal to the side length squared

3. Therefore, square the sides and sum:

3^2 = 9

7^2 = 49

2^2 = 4

4+9+49 = 62

Answer:

105⁰

Step-by-step explanation:

Please refer to the attachment.

Hope it helps :)

The population density in Nevada in 2012 was 24.6 people per square mile.

What is Population density?

Population density is a measure of the number of people per unit of area. It provides an indication of how crowded or densely populated a specific geographic area is. Population density is typically expressed as the number of people per square kilometer or square mile.

To calculate the population density in Nevada in 2012, we need to determine the population in 2012 and then divide it by the area of the state.

Given:
Population in 2005 = 2.432 million people
Population increase in 2012 = 13.2%
Area of the state = 111,825 mi²

First, we need to calculate the population in 2012 by adding the population increase to the population in 2005:

Population in 2012 = Population in 2005 + (Population in 2005 * Population increase)
                  = 2.432 million + (2.432 million * 13.2%)
                  = 2.432 million + (0.132 * 2.432 million)
                  = 2.432 million + 0.321024 million
                  ≈ 2.753024 million

Next, we can calculate the population density by dividing the population in 2012 by the area of the state:

Population density in 2012 = Population in 2012 / Area of the state
                         = 2.753024 million / 111,825 mi²
                         ≈ 24.61 people per square mile

Therefore, the population density in Nevada in 2012 was approximately 24.61 people per square mile.

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Forecasting plays a crucial role in time series modelling, despite the difficulty of predicting the future.

Forecasting plays a vital role in time series modelling as it allows us to make informed predictions about future values based on historical data patterns.

Although Nils Bohr's quote emphasizes the inherent difficulty of predicting the future, forecasting techniques enable us to uncover meaningful insights and trends, providing valuable information for decision-making and planning.

Time series modelling involves analyzing past data points to identify patterns, trends, and seasonality in a time-dependent sequence. By understanding these patterns, statistical models can be constructed to forecast future values with a certain level of confidence.

This is particularly relevant in various fields such as finance, economics, weather forecasting, and sales forecasting, where accurate predictions are crucial for effective planning and resource allocation.

Forecasting techniques, such as exponential smoothing, moving averages, and autoregressive integrated moving average (ARIMA) models, take into account historical data points and aim to capture underlying patterns and relationships.

These models can then be used to generate forecasts for future time periods, enabling organizations and individuals to anticipate potential outcomes and make informed decisions.

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a) The relationship between b and c is that c cannot be zero.

b) b can be any nonzero constant and c is equal to 2.5 in this case.

In two dimensions, the compatibility equations for strain are,0

∂εx/∂y + ∂γxy/∂x = 0

∂εy/∂x + ∂γxy/∂y = 0

where εx and εy are the normal strains in the x and y directions, respectively, and γxy is the shear strain.

Using the given strain field, we can calculate the strains,

εx = -4.5cx² + 10.5cy

εy = 1.5cx² - 7.5cy²

γxy = 1.5bxy

Taking partial derivatives and plugging them into the compatibility equations, we get,

⇒ -9cx + 0 = 0

⇒ 0 + (-15cy) = 0

These equations must be satisfied for the strain field to be compatible. From the first equation,

We get cx = 0, which means c cannot be zero.

From the second equation, we get cy = 0,

Which means b can be any nonzero constant.

For part b:

We are asked to find the displacements u and v corresponding to the given strain field at points (3, 7), assuming they are zero at point (0, 0) and using c = 2.5.

To find the displacement components,

We need to integrate the strains with respect to x and y. We get,

u = ∫∫εx dx dy = ∫(10.5cy) dy = 5.25cy²

v = ∫∫εy dx dy = ∫(1.5cx² ) dx - ∫(7.5cy²) dy = 0.5cx³ - 2.5cy³

Plugging in the values of c and b, we get,

u = 5.25(2.5)(7)²  = 767.62

v = 0.5(2.5)(3)³ - 2.5(7)³ = -8583.75

Therefore,

The displacements at points (3, 7) are u = 767.62 and v = -8583.75.

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The solution to the system of equations is (7,1.5).Option (5,-2) is incorrect.

An equation is a mathematical statement that shows the equality between two expressions. It is written using an "equal to" sign ( = ) and involves one or more variables. Equations are used to describe relationships between unknown values, and can be used to model real-world problems and to solve them.

Addition/Elimination

We can solve this system of equations by addition/elimination. To do this, we will add the two equations together.

6x − 12y = 24
−x − 6y= 4

Adding these equations together gives us:

5x − 18y = 28

From this, we can solve for y:

y = 28/18
y = 1.5

We can then substitute this value of y into either of the original equations to solve for x:

6x − 12(1.5) = 24
6x = 24 + 18
6x = 42
x = 42/6
x = 7

Therefore, the solution to the system of equations is (7,1.5).
Option (5,-2) is incorrect.

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Complete questions as follows-
Solve by addition/elimination 6x − 12y = 24 , −x − 6y= 4

(6,-1)

(1,-1)

(3,-2)

(5,-2)

The process of planning and controlling how much time to spend on specific activities.

Time management is the process of planning and controlling how much time to spend on specific activities in order to use your time productively and efficiently.

It involves setting goals, prioritizing tasks, creating schedules and to-do lists, and monitoring progress to ensure that time is used effectively.

Effective time management can help individuals to complete tasks and achieve their goals in a timely manner, reduce stress, and increase productivity.

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Step-by-step explanation:

248 min i think hope it helps

There are 12 boys in the class.

Answer:

18 students are girls.
12 students are boys.

Step-by-step explanation:

We can use simple math to solve. First, add 2 and 3 to get the total size per sample group. This will give you 5. Then, divide your total number by your sample group size (30 divided by 5) to get your amount of groups. In this example, there are 6. Then, return to the original ratio of 2:3 and multiply each by your amount of groups. This will give you 12:18. We know that the ratio of boys is 2:3, so there are 12 boys and 18 girls.

Answer:

60 because their a 2 induivedinal in 1 sock.

Step-by-step explanation:

30 x 2 = 60

Answer:

The area of prism is calculated by:(a+b)h/2

The parametrization of the tangent line at the point P = (0, 1, 3) is L(t) = ti + (1 - 4t)j + (3 + 3t)k.

To find the parametrization of the tangent line at the indicated point, we first need to evaluate the vector r(t) at the given value of t, which is t = 1.

r(t) = (ln t)i + t^(-4)j + 3tk

Substituting t = 1 into the vector r(t), we get:

r(1) = (ln 1)i + 1^(-4)j + 3(1)k

    = 0i + 1j + 3k

    = j + 3k

So, the point on the curve is P = (0, 1, 3).

To find the tangent line at point P, we need the derivative of r(t) with respect to t:

r'(t) = (1/t)i - 4t^(-5)j + 3k

Substituting t = 1, we get:

r'(1) = (1/1)i - 4(1)^(-5)j + 3k

     = i - 4j + 3k

Therefore, the parametric equation for the tangent line at point P is:

L(t) = P + t * r'(1)

L(t) = (0, 1, 3) + t(i - 4j + 3k)

Simplifying, we get:

L(t) = ti + (1 - 4t)j + (3 + 3t)k

So, the parametrization of the tangent line at the point P is L(t) = ti + (1 - 4t)j + (3 + 3t)k.

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Gulls managed to eat scallops in the novel "Island of the Blue Dolphins" through their adaptive feeding behaviors and opportunistic nature.

In the novel "Island of the Blue Dolphins" by Scott O'Dell, gulls are depicted as opportunistic feeders that have adapted their feeding behaviors to consume scallops. The island where the story takes place is abundant with scallops, which serve as a vital food source for the gulls.

Gulls are skilled at detecting and locating food sources, including scallops. They have keen eyesight and the ability to spot scallops in the water or on the shore. Gulls use their sharp beaks to pry open the shells of the scallops, accessing the nutritious flesh inside.

They are known to scavenge and steal food from other animals, including smaller birds or marine creatures. In the case of scallops, gulls may compete with other predators, such as otters or crabs, to obtain these shellfish for their own sustenance.

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Answer:

1.rocky

Step-by-step explanation

1.we have the add the powers of x,not multiply.

By understanding the concepts of division and multiplication of exponents, we can say that Rocky and Kay are correct.

If we are multiplying similar bases, we simply add the exponents. If we are dividing, we simply subtract the exponents.

\((x^{5})(x^{3}) = x^{5+3}=x^{8}\\ \\ \frac{x^{12}}{x^{8} } = x^{12-8} = x^{4}\)

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The value of k could be 48, 49, 50, 51, or 52, as these all result in the fractions being in lowest terms.

To further explain, let's look at each of the possible values of k and see how they result in the fractions being in lowest terms:

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a. The unemployment rate is 20%.

b. The labor-force participation rate is 60%.

According to the question,

Working age population- 100,000

Labour force - 60,000

Unemployed - 12000 instructions

a) The unemployment rate is the percentage of the labor force that is unemployed and it is calculated as follows:

Unemployment Rate = \(\frac{Number of unemployed People}{Labor force}\) × 100

When an unemployed population is 12,000 and the labor force is 60,000,

the unemployment rate is  = \(\frac{12000}{60000}\) × 100 = 20%

b) labor force participation rate is the percentage of working adult population that participates in labor either by actively looking for a job, or working. It is calculated as follows:

Labor Force Participation Rate = \(\frac{Labor force}{working age population}\) × 100

When the labor force is 60,000 and the working-age population is 100,000

Labor Force Participation Rate = \(\frac{60000}{100000}\) × 100 = 60%

So, a. The unemployment rate is 20%.

b. The labor-force participation rate is 60 %.

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The units of weight of watermelon on the digital scale could be kilogram, gram and pounds.

According to the question,

We have the following information:

A watermelon is placed on a digital scale. The scale reads 10.5.

We know that there are several units of measurements for every physical quantity. For example, the units for measuring length are kilometers, meters, centimeters, feet, inches and many more.

In the same way, there are many units for measurements of weight. However, in most of the cases for the weight on a digital scale, it can be kilogram, gram or pound.

So, it could 10.5 kg or 10.5 g or 10.5 pounds.

Hence, the units of the weight of watermelon on the digital scale could be kilogram, gram and pounds.

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A circle with center (0, 0) passes through the point (3, 4).  The area of the circle is approximately 78.5 square units.

To find the area of the circle, we need to know its radius. We can use the distance formula to find the distance between the center (0, 0) and the point on the circle (3, 4):
d = sqrt((3-0)^2 + (4-0)^2) = 5
So the radius of the circle is 5 units. Now we can use the formula for the area of a circle:
A = πr^2
Substituting r = 5, we get:
A = π(5)^2 = 25π
To the nearest tenth of a square unit, we can approximate π as 3.14 and round the answer to one decimal place:
A ≈ 78.5 square units
So the area of the circle is approximately 78.5 square units.
Your question about the area of a circle.
A circle with center (0, 0) that passes through the point (3, 4) has its radius determined by the distance formula between the center and the point. The distance formula is:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Applying the distance formula to our given points:
Radius = √[(3 - 0)^2 + (4 - 0)^2] = √[3^2 + 4^2] = √(9 + 16) = √25 = 5
Now that we have the radius (5), we can calculate the area of the circle using the formula:
Area = π * (radius^2)
Area = π * (5^2) = π * 25 ≈ 78.5
To the nearest tenth of a square unit, the area of the circle is approximately 78.5 square units.

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Answer:

.3

Step-by-step explanation:

The monthly payment for the 24-month installment plan to borrow $4,000 with an interest rate of 8% per year is approximately $176.65.

To calculate the monthly payment for the 24-month installment plan, we need to use the formula for calculating the monthly payment on a loan. The formula is:
M = P * (r * (1+r)ⁿ) / ((1+r)ⁿ⁻¹)
Where:
M is the monthly payment
P is the principal amount (in this case, $4,000)
r is the monthly interest rate (8% per year = 0.08/12 = 0.0067 per month)
n is the total number of payments (24)

Plugging in these values into the formula, we get:

M = 4000 * (0.0067 * (1+0.0067)²⁴) / ((1+0.0067)²⁴⁻¹)
Simplifying the equation, we find that the monthly payment will be approximately $176.65.

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The whole race is 12 3/4 kilometers.

The correct equations that represent this question are:

(8 1/2) ÷ 2/3 = ?

2/3 × ? = 8 1/2

(8 1/2) × 3/2 = ?

In this question we have been given Diego has run 2/3 of a race""s distance. He has run 8 1/2 kilometers.

We need to find the  length of the whole race.

Let the whole race be x.

Since Diego has run 2/3 of a race's distance which is 8 1/2 kilometers. The length of the whole race will be given by an equation:

2/3 × x = 8 1/2

x = (8 1/2) ÷ 2/3

x = (8 1/2) × 3/2

x = 17/2 × 3/2

x = 51/4

x = 12 3/4 kilometers.

Therefore, the length of the whole race= 12 3/4 kilometers.

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The choices for given question are given below.

The required order of solution for the given system equation,
1 No solution
2 Many solutions
3 One solution
4 No solution

Given a system of equations,
(1)

y = 5x + 7
3y -15x = 18

Since the slope of the equations are equal so this equation has no solution

(2)

x - 2y = 6
3x - 6y = 18
Since the slope of the equations is equal and also has an equal intercept so this equation has many solutions.

(3)

y=3x+6
y = -1/3x - 4
The slope of the equation of this line is the negative reciprocal of the other implying these lines are perpendicular to each other and have one solution.

(4)
y = 2/3x -1
y = 2/3x -2
Since the slope of the equations is equal so this equation has no solution.

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Integer -17 represents Rudy's score for 2 weeks.

Rudy's scores:

Then, add 15 and -32 as follows:

Therefore, integer -17 represents Rudy's score for 2 weeks.

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Answer:

27000

Step-by-step explanation:

600(45)=27000

Answer:

27000

Step-by-step explanation:

Answer:

either c or b

Step-by-step explanation:

im so sorry im also stuck but im more leaning towards near future but im not sure! i hope that the process of elimination helped a bit at least

Answer:

In the near future.

Step-by-step explanation:

In the past it would have said was etc..

Right now, it would say "it just started"

In the far future it would have said in a few days or so.

Answer:

True

Step-by-step explanation:

Value of the function increases as x increaes

When we subtract a velocity vector from another velocity vector, the result is B. another velocity.

When we subtract a velocity vector from another velocity vector, we are essentially finding the difference between the two velocities. This difference is also a velocity vector, but in a different direction and with a different magnitude. Therefore, the answer is another velocity, option B.

It is important to note that acceleration is a change in velocity, not the result of subtracting one velocity from another. Scalar refers to a quantity with only magnitude, whereas velocity is a vector quantity with both magnitude and direction. Displacement refers to the change in position of an object and is not directly related to subtracting velocity vectors.

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Answer:

\(f(3) = {3}^{2} + 5(3) - 9 \\ f(3) = 9 + 15 - 9 \\ f(3) = 15\)

Answer:

1. D. 15

2. A. 3

3. A. c= 6g+5

4. A. All real numbers

5. D