Please answer. Thank you.

The solution to the inequality, 1/2x - 3 < -1 3/8, is x < 13/4. See the graph below.

Given the inequality, 1/2x - 3 < -1 3/8, solve to find the value of x, which is the solution to the inequality.

1/2x - 3 < -1 3/8 [given]

1/2x - 3 < -11/8

Add 3 to both sides of the equation:

1/2x - 3 + 3 < -11/8 + 3 [addition property of equality]

1/2x < 13/8

Multiply both sides by 2:

1/2x * 2 < 13/8 * 2 [multiplication property of equality]

x < 13/4

The solution to this inequality, x < 13/4 is given in the graph below.

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Answer:

well the square root of 37 is 6.083

Step-by-step explanation:

for this problem I use 6 since 6×6=36 then that my ewser 6 because if I go one higher I am going to 37

Answer:

-6

Step-by-step explanation:

edge

Answer:

16^5 + 16^4 = 16^4(16 + 1) = 16^4(17)

Step-by-step explanation:

Here, we are to use factoring to show that the given expression is divisible by 17.

That would go as follows;

16^5 + 16^4 = 16^4(16 + 1)

= 17(16^4)

This shows clearly that the expression is divisible by 17

Answer:

3/4x+3-2x= −5 /4 x+3

Step-by-step explanation:

yw <3 IMAO

In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.

To find the profit-maximizing conditions with third-degree price discrimination, we need to equate the marginal revenue (MR) to the marginal cost (MC) for each market segment.

Given the demand equations and the total cost function:

Market 1: Q1 = 160 - 10P1 or P1 = 16 - 0.1Q1

Market 2: Q2 = 200 - 20P2 or P2 = 10 - 0.05Q2

Total Cost: TC = 120 + 4Q

To find the profit-maximizing prices and quantities, we equate MR to MC for each market segment:

MR1 = MC:

16 - 0.2Q1 = 4

0.2Q1 = 12

Q1 = 60

MR2 = MC:

10 - 0.1Q2 = 4

0.1Q2 = 6

Q2 = 60

Substituting the quantities back into the demand equations, we find:

P1 = 16 - 0.1(60) = 10

P2 = 10 - 0.05(60) = 7

The total revenue (TR) can be calculated by multiplying the price by the quantity for each market segment:

TR = P1 * Q1 + P2 * Q2

TR = (10 * 60) + (7 * 60)

TR = 600 + 420

TR = 1020

The total cost (TC) is given by the total cost function:

TC = 120 + 4Q

TC = 120 + 4(60 + 60)

TC = 120 + 480

TC = 600

Finally, the profit (π) can be calculated by subtracting total cost from total revenue:

π = TR - TC

π = 1020 - 600

π = 420

In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.

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A numerical measure of linear association between two variables is the

b. correlation coefficient.

A correlation coefficient is a numerical measure of the strength and direction of the linear relationship between two variables.

It ranges from -1 to +1, where a value of -1 indicates a perfect negative correlation (as one variable increases, the other decreases), a value of +1 indicates a perfect positive correlation (as one variable increases, the other also increases), and a value of 0 indicates no linear correlation between the variables.

The correlation coefficient is an important tool in statistical analysis as it allows researchers to determine whether and how strongly two variables are related.

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The perimeter of the regular polygon is approximately 43.5 m, and the area is approximately 110.4 m².

We have,

To find the perimeter and area of a regular polygon with 8 sides and a radius of 7 m, we can use the following formulas:

Perimeter of a regular polygon: P = 2 x n x r x sin(π/n)

Area of a regular polygon: A = (n x r² x sin(2π/n)) / 2

Where:

n is the number of sides of the polygon

r is the radius of the polygon

Substituting the given values:

n = 8 (number of sides)

r = 7 m (radius)

The perimeter of the polygon:

P = 2 x 8 x 7 x sin(π/8)

Area of the polygon:

A = (8 x 7² x sin(2π/8)) / 2

Now, let's calculate the values:

P = 2 x 8 x 7 x sin(π/8) ≈ 43.5 m (rounded to the nearest tenth)

A = (8 x 7² x sin(2π/8)) / 2 ≈ 110.4 m² (rounded to the nearest tenth)

Therefore,

The perimeter of the regular polygon is approximately 43.5 m, and the area is approximately 110.4 m².

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The complete solution is:

∫4\(sin^{-1}(2x) dx = sin^{-1}(2x)\) x 4x + √(1 - (2x)²) + C, where C is the constant of integration.

We have,

\(u = sin^{-1)}(2x)\)

dv = 4 dx

Taking the derivative of u, we get:

du/dx = 1 / √(1 - (2x)²)

Integrating dv, we get:

v = ∫4 dx = 4x

Now, applying the integration by parts formula:

∫4 \(sin^{-1}(2x) dx\) = uv - ∫vdu

Plugging in the values, we have:

∫4 \(sin^{-})(2x) dx = sin^{-1}(2x) \times\) 4x - ∫(4x / √(1 - (2x)²)) dx

At this point, we need to evaluate the integral on the right side.

Let's perform a substitution to simplify it:

Let u = 1 - (2x)²

Differentiating u with respect to x, we get:

du/dx = -4(2x) = -8x

Solving for dx, we have:

dx = -du / (8x)

Substituting these values, the integral becomes:

∫(4x / √(1 - (2x)²)) dx = ∫(-4x / (8x x √u)) (-du / (8x))

Simplifying, we get:

∫(4x / √(1 - (2x)²)) dx = ∫(-1 / (2√u)) du

= -∫(1 / (2√u)) du

= -√u + C

Substituting back the value of u, we have:

∫(4x / √(1 - (2x)²)) dx = -√(1 - (2x)²) + C

Therefore,

The complete solution is:

∫4\(sin^{-1}(2x) dx = sin^{-1}(2x)\) x 4x + √(1 - (2x)²) + C, where C is the constant of integration.

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The complete question:

a) Evaluate the integral ∫4 sin^(-1)(2x) dx using integration by parts.

The 2 unshown angles in the pentagon adds up to 180 degrees because consecutive interior angles theorem for parallel lines.

Interior angle sum of pentagon is 540 degrees.

So

2y+3y+135+180=540

5y+135=360

5y=225

y=45

Done!

Answer: -3   13/40

Steps:  (-⅛ + ⅖) - 3 ⅗

Convert mixed numbers to improper fractions: 3⅗ =  18/5

(-⅛ + ⅖)  - 18/5

Remove the parentheses: -⅛ + ⅖  - 18/5

Find the common denominator which is 40.

So:   -5/40 + 16/40 - 144/40

Since the denominators are equal, combine the fractions: -5 + 16 -144 divided by 40.

Add/ subtract the numbers: -5 + 16 - 144 = -133

= -133/40

Convert improper fractions to mixed numbers: 133/40 = 3  13/40

The answer is -3   13/40

When f(x) = x² becomes f'(x) = x² - 3, the function will move 3 units downward. The correct option is the second option - it moves 3 units downward. The graphs of the functions are shown below.

From the question, we are to determine what happens when the given function becomes the other function

The given function is

f(x) = x²

We are to determine what happens when the function becomes f'(x) = x² - 3

To determine what will happen, we will substitute x = 0 into the functions

f(x) = x²

When x = 0

f(0) = 0²

f(0) = 0

For the function f'(x) = x² - 3

f'(0) = (0)² - 3

f'(0) = 0 - 3

f'(0) = -3

Hence, this means the function will move 3 units downward.

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Answer:

v=pie r² ×h

v=3.14×2²×8

v= 100.48

Step-by-step explanation:

you are using diameter as the radius that is why exactly you are not getting it right! divide the diameter by 2 to get radius and use it with the formula

The value of x will be 2.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Q is equidistant from the side of ∠TSR.

Now,

Since, Q is equidistant from the side of ∠TSR.

Hence, We get;

∠TSQ = ∠QSR

Substitute the values, we get;

⇒ (3x + 18)° = 24°

Solve for x as;

⇒ 3x + 18 = 24

⇒ 3x = 24 - 18

⇒ 3x = 6

⇒ x = 2

Thus, The value of x will be 2.

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Answer:

$5.25

Step-by-step explanation:

The cost of 7 oranges is $5.25

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

for example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given;

Cost of 3 Oranges= 2.25

So, the cost of 1 orange= 2.25 / 3

                                       = 0.75

Now, the cost of 7 oranges

= 0.75 x 7

= $5.25

Hence, the cost of 7 oranges is $5.25

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Answer:

50.6

Step-by-step explanation:

Using the divergence theorem we can compute that the outward flux of the vector field is 16π .

The outward flux of F over the solid cylinder and z = 0 is

∫∫F·ds  = ∫∫∫ DivF dv

F = 2xy² i   +  2x²y j + 2xy k

Div F  =  D/dx (2xy²)  +   D/dy (2x²y )

Div F  =  2y²  +  2x²

In cylindrical coordinates   dV = rdrdθdz and as z = 0 the region is a surface ds = r·dr·dθ

Using the parametric form of the surface equation

x = rcosθ        y =  r sinθ      and z = z

Div F  = 2r² sin²θ  + 2r²cos²θ

∫∫∫ DivF dv  =  ∫∫ [2r²sin²θ  + 2r²cos²θ] × rdrdθ

∫∫ 2r² [sin²θ  + cos²θ] × rdrdθdz   ⇒  ∫∫ 2r³ drdθ

Integration limits

0 < r < 2          0 < θ < 2π

2∫₀² r³ ∫dθ

(2/4) × (2)⁴ × 2π

The divergence theorem, commonly known as Gauss' theorem or Ostrogradsky's theorem, is a theorem that connects the flow of a vector field across a closed surface to the field's divergence in the volume enclosed.

In more detail, the divergence theorem states that the surface integral of a vector field across a closed surface, sometimes referred to as the "flux" through the surface, is equal to the volume integral of the divergence over the region inside the surface.

Therefore the flux is 16π .

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The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:

(5/3^4) * x = 5^4

To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:

5^4 = 5 * 5 * 5 * 5 = 625

Now, let's simplify the left side:

5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81

Now we have:

(5/81) * x = 625

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:

(81/5) * (5/81) * x = (81/5) * 625

On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:

1 * x = (81/5) * 625

Simplifying the right side:

(81/5) * 625 = 13125

Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

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The sample ratio generated can be used to estimate the population ratio, but it may not always be identical due to sampling error, and researchers can use various techniques to minimize this error and increase accuracy.

The sample ratio generated can be used to estimate the population ratio, but it is not always identical to the population ratio. This is because the sample ratio is based on a subset of the population, and there is always some degree of sampling error involved in estimating population characteristics from a sample.

To increase the accuracy of the sample ratio, researchers often use sampling techniques that are designed to minimize sampling error, such as random sampling, stratified sampling, or cluster sampling. Additionally, increasing the sample size can also help to reduce sampling error and increase the accuracy of the sample ratio.

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Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.

Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12

We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.

Take the provided linear equation system into consideration.

3x - 2y = 4 ................(1)

9x - 6y = 12 ..................(2)

Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12

The slopes of the provided equations are also same.

Difference with regard to x for equation (1) yields,

additional to equation (2),

With regard to x, we can differentiate to get,

The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.

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a) Yes, It does. The scatterplot support the newspaper report about number of semesters and starting salary.

b) The value is relatively low, indicating that there are other factors that also contribute to starting salary.

c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables.

a) The scatterplot appears to show a positive association between the number of semesters needed to complete an academic program and the starting salary in the first year of a job. As the number of semesters increases, the starting salary generally increases as well. Therefore, the scatterplot supports the newspaper report.

b) The coefficient of determination, or R-squared value, represents the proportion of the variation in the dependent variable (starting salary) that is explained by the independent variable (number of semesters). A value of 0.335 means that 33.5% of the variation in starting salary is explained by the number of semesters. This value is relatively low, indicating that there are other factors that also contribute to starting salary.

c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables. A value of 1 indicates a perfect positive correlation, a value of -1 indicates a perfect negative correlation, and a value of 0 indicates no correlation. The correlation coefficient for this data is not provided in the problem, so it is not possible to determine it. Without the correlation coefficient, it is not possible to interpret the strength and direction of the association between number of semesters and starting salary.

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Answer: B

Step-by-step explanation:

Using slope formula, change in y (3) over change in x (2) is 3/2. So the equation would be y=3/2x.

Answer:

The possible dimensions are;

If Rectangle B has a dimension of 1 unit x 2 units, then Rectangle A has a dimension of 0.315 units x 12.685 units

Step-by-step explanation:

Let;

Length of Rectangle A be a

Width of Rectangle A be b

Length of Rectangle B be c

Width of Rectangle B be d

Thus;

Area of Rectangle A = a × b

Area of Rectangle B = c × d

We are told that the area of Rectangle A is twice the area of Rectangle B:

Thus;

2cd = ab - - - - - eq. 1

perimeter of Rectangle A = 2a + 2b

perimeter of Rectangle B = 2c + 2d

We are told that the perimeter of Rectangle A is 20 units greater than the perimeter of Rectangle B. Thus, we now have;

20 + 2c + 2d = 2a + 2b - - - - eq. 2

We have 4 unknowns which are (a, b, c and d) but only 2 equations, so we need to reduce to 2 unknown variables and calculate the other ones. In this way, one of the infinite solutions is obtained.

Let's assume that c = 1 and d = 2, we obtain:

From eq 1, we have;

2 * 1 * 2 = a*b

ab = 4 or a = 4/b

From eq 2, we have;

20 + 2(1) + 2(2) = 2a + 2b

26 = 2a + 2b

Putting a = 4/b into this, we have;

26 = 2(4/b) + 2b

Multiply through by b to get;

26b = 8 + 2b²

So,we have;

2b² -26b + 8 = 0

Using quadratic formula for this,

b = 0.315 or 12.685

When, b = 12.685, a = 4/12.685 = 0.315

When, b = 0.315, a = 4/0.315 = 12.685

So, the possible dimensions are;

If Rectangle B has a dimension of 1 unit x 2 units, then Rectangle A has a dimension of 0.315 units x 12.685 units

Answer:Subtract  

from both sides of the equation

from both sides of the equation

Multiply all terms by the same value to eliminate fraction denominators

Answer:

x= -88

Step-by-step explanation:

We move all terms to the left:

x/4+9- (-13)=0

Then we add all the numbers together, and all the variables:

x/4+22=0

We multiply all the terms by the denominator:

x+22*4=0

We all all the numbers together, and all the variables:

x+88=0

We move all the terms containing x to the left, all other terms to the right:

x= -88

Answer:

y=x+4

Step-by-step explanation:

...

Если высота, полученная из вершины A, также является медианной, треугольник будет равнобедренным, так что AB = AC, а BC - основание. Следовательно, эта высота также является биссектрисой угла. - Если медиана, проведенная из вершины A, также является биссектрисой угла, треугольник будет равнобедренным, так что AB = AC, а BC - основание.

Answer:

.125

Step-by-step explanation:

(.5)^2(.5)^1= .125

Where (.5)^2 is the probability two mice turn left multiplied by (.5) that one of them turns right.        

The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

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The simple  interest values are all wrong

Simple Interest (S.I) is a method of charging or yielding a specific percentage on the principal amount borrowed/deposited in a particular period. It is calculated using the formula

SI = (Principal*Rate*Time)/100,

a) SI = (450*25.2*3)/100,

SI = %70.2

2) SI = (Principal*Rate*Time)/100,

SI = (250*3.75*5)/100,

$46.875

(3) SI = (Principal*Rate*Time)/100,

SI = (1800*2.1*2)/100,

SI = $75.6

4) SI = (Principal*Rate*Time)/100,

SI = (1500*2.9*2)/100,

SI = $87

5) SI = (Principal*Rate*Time)/100,

SI = (50*1.9*10)/100,

SI =$9.5

6) SI = (Principal*Rate*Time)/100,

SI = (8*0.7*300)/100,

SI = $16.8

7) SI = (Principal*Rate*Time)/100,

SI = (125*2.03*4)/100,

SI = $10.15

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Answer:$60

Step-by-step explanation: