50% of 320 is equal to 80% of what number?

The set S is a unit square in the uv-plane, bounded by the lines u = 0, u = 1, v = 0, and v = 1. The transformation given by x = v, y = u(1 - v^2) maps points in the uv-plane to points in the xy-plane.

To find the image of S under this transformation, we apply the transformation to each of the vertices of S:

Therefore, the image of the unit square S under the transformation x = v, y = u(1 - v^2) is the line segment connecting (0,0) and (1,0) in the xy-plane.

To learn more about “line segment” refer to the https://brainly.com/question/17374569

#SPJ11

Answer:

0.076 or 4.409 try both its one of those two

Step-by-step explanation:

The general antiderivative of p(t) = 1.6e^(0.03t) million people per year, t years since 2007, is represented with units of million people per year multiplied by years, along with the constant of integration.

The antiderivative represents the accumulation of the original function over time, and the constant of integration allows for different possible starting points. In this case, the units of measure for the general antiderivative include both the units of the original function (million people per year) and the units of time (years). This means that the antiderivative measures the cumulative population in million people over a given time span, while the constant of integration accounts for the initial population at the starting point (2007).

For more information on antiderivative visit: brainly.com/question/31401039

#SPJ11

Given the movement of the ship, it can be respresented by the image below:

The distance from its starting point in a direct line is represented with x and can be calculated using Pythagoras Theorem as follow:

To get the hypotenuse, we have:

Hence, the ship is approximately 19.9km away from the starting point in a direct line.

Answer:

y = 6/5x + 2

Step-by-step explanation:

First let's fix this equation

5x + 6y = 36 (subtract 5x on both sides)

6y = -5x + 36 (divide by 6 on both sides)

y = -5/6x + 6

NOW

The perpendicular slope of this equation is 6/5

Now we have to plug in (-5,-4) to get the y-intercept

-4 = 6/5(-5) + b  (distribute 6/5 to -5)  (b represents the y-intercept)

-4 = -6 + b (add 6 on both sides)

2 = b

So your equation is...

y = 6/5x + 2

HOPE THIS HELPED!!!!!

The cost of running the business for t = 6 months. is $108.

A function is simply used to show the relationship between the variables given.

In this case, for the period of t months, the cost (in hundreds of dollars) of running a local business is C(t) = -t² + 12t.

Therefore, t = number of months

The cost for 6 months will be:.

C = -t² + 12t

C = -(6)² + (12 × 6)

C = 36 + 72

C = 108

The cost is $108.

Learn more about functions in:

brainly.com/question/723406

#SPJ1

Answer:

239 miles per gallon for a round trip.

Step-by-step explanation:

you'd need to achieve 238,900 / 2000 = 119.5 miles per gallon for a one way trip,

Answer:

The second option: 4 1/2 x = 22 1/2

Step-by-step explanation:

The whole volume is 22 1/2 so that is on one side of the equals sign but it must be by itself. Then the formula for volume is length x width x height.

so 22 1/2 = l x w x h

Two of these numbers are given. You multiply 3 x 1 1/2 to get 4 1/2 times the unknown value of x

Answer:

Answer:

The second option: 4 1/2 x = 22 1/2

The whole volume is 22 1/2 so that is on one side of the equals sign but it must be by itself. Then the formula for volume is length x width x height.

so 22 1/2 = l x w x h

Two of these numbers are given. You multiply 3 x 1 1/2 to get 4 1/2 times the unknown value of x

Step-by-step explanation:

Answer:

The domain is:

{3,4,5,6}

Step-by-step explanation:

The domain is all the x-values of the plots

For this equation

The domain for (3,11) is 3

The domain for (4,18) is 4

The domain for (5,27) is 5

And the domain for (6,38) is 6

Hope this helps!

Answer:

x = 9

Step-by-step explanation:

given a line parallel to a side of the triangle and intersecting the other 2 sides, then it divides those sides proportionally.

\(\frac{x-1}{3x+1}\) = \(\frac{6}{21}\) = \(\frac{2}{7}\) ( cross- multiply )

7(x - 1) = 2(3x + 1) ← distribute parenthesis on both sides

7x - 7 = 6x + 2 ( subtract 6x from both sides )

x - 7 = 2 ( add 7 to both sides )

x = 9

Roger Federer's record-tying run of five consecutive Wimbledon Championships was ended in 2008 when he was defeated in the final by Rafael Nadal.

Swiss tennis player Roger Federer, born in Basel, Switzerland, on August 8, 1981, dominated the sport in the early 21st century with his superb all-around performance.

At Wimbledon 2008, Federer made an effort to beat Borg's mark and become the first male player to win six straight Wimbledon championships in the Open Era.

Federer's 41-match winning streak was snapped at Wimbledon when Nadal upset him in his most successful major.

Roger federer's run of 5 consecutive wimbledon championships, a record tied with bjorn borg, was halted when he was defeated in the final in 2008 by Rafael Nadal

The following year, Federer repeated the feat, and in 2010, Nadal once again won the double.

To know more about Wimbledon championship here

https://brainly.com/question/26313539

#SPJ4

It will take 2 hours 48 minutes for the two trains to meet.

For given question,

Two trains leave stations 560 miles apart at the same time and travel toward each other.

One train travels at 95 miles per hour while the other travels at 105 miles per hour.

This means the speed one train is 95 mph while the speed of other train is 105 mph.

Let t be the time in hours for two trains to meet.

From given scenario,

⇒ 560 = (105 + 95)t

⇒ 560 = 200 t

⇒ t = 2.8 hours

1 hour = 60 minutes

So, 0.8 hours = 48 minutes

⇒ 2.8 hours = 2 hours 48 minutes

This means, both trains meet after 2 hours 48 minutes

Therefore, it will take 2 hours 48 minutes for the two trains to meet.

Learn more about the speed here:

https://brainly.com/question/2004627

#SPJ4

The correct answer is: c. Gain of £800,000 to Statement of Profit or loss.

Since Maris uses the fair value model, the gain from the increase in the fair value of the building is recognized in the Statement of Profit or Loss. In this case, the building's fair value increased from £10 million to £10.8 million, resulting in a gain of £800,000. Therefore, the gain of £800,000 should be recognized in the Statement of Profit or Loss.According to the fair value model, any gain or loss resulting from the change in fair value of the asset should be recognized in the financial statements. In this case, the increase in the fair value of the building is considered a gain.

Since the gain of £800,000 (the difference between the fair value of £10.8 million and the original purchase price of £10 million) is a result of the change in the asset's fair value, it should be recognized in the Statement of Profit or Loss. This gain represents the increase in the value of the building during the year.

Learn more about probability here:

https://brainly.com/question/31740607

#SPJ11

Answer: 88 1/2

Step-by-step explanation:

easy

Answer:

89

Step-by-step explanation:

The set of all bounded real functions does not form a vector space with the usual function addition and scalar multiplication.

To determine if a set of objects forms a vector space, we need to check if it satisfies the vector space axioms. These axioms include properties such as closure under addition and scalar multiplication, existence of additive identity and inverses, and distributive properties.

In the case of the set of all bounded real functions, it does not satisfy the closure property under scalar multiplication. To demonstrate this, consider a bounded real function f(x) that is bounded by M, and let c be a scalar.

When we multiply the function f(x) by a scalar c, the resulting function cf(x) may not remain bounded. If c is non-zero and large enough, cf(x) can exceed any bound M, violating the condition of boundedness.

For example, consider the bounded function f(x) = 1, which is bounded by M = 1. If we multiply this function by a scalar c = 2, the resulting function cf(x) = 2 is unbounded and violates the condition of boundedness.

Since the set of all bounded real functions fails to satisfy the closure property under scalar multiplication, it does not form a vector space with the usual function addition and scalar multiplication.

To know more about vector spaces refer here:

https://brainly.com/question/30531953?#

#SPJ11

The area between the large loop and the enclosed small loop of the curve r = 5 + 10 cos(3) is approximately 157.79 units^2.

The given curve r = 5 + 10 cos(3) represents a polar equation, where r is the distance from the origin to a point on the curve, and θ is the angle between the positive x-axis and the line segment connecting the origin to the point.

To find the area between the large loop and the enclosed small loop of the curve, we need to identify the values of θ where the curve intersects itself. We can do this by solving for θ when r = 0. This gives us θ = π/6 and 11π/6, which correspond to the points where the curve intersects itself.

Next, we can find the area between the two loops by integrating the function (1/2)r^2 with respect to θ from π/6 to 11π/6. This gives us:

A = (1/2) ∫[π/6,11π/6] (5 + 10cos(3))^2 dθ

which evaluates to approximately 157.79 units^2.

To learn more about area click on,

https://brainly.com/question/30174664

#SPJ4

Then for any a₁∈A, since A X B ⊆ B X A, there exists a₂∈A and b2∈B such that b₁=a₂ and a₁=b2. Since a₂∈A and b₁=a₂, we have that b1∈A. Since b₁ was arbitrarily chosen, we have that B ⊆A.

In mathematics, a set is simply a collection of distinct objects that form a group. A set can contain any type of group of items, such as a collection of numbers, days of the week, vehicle types, and so on. Every item in the set is referred to as a set element. When writing a set, curly brackets are used.

To prove that A=B, you need to show that A is a subset of B and that B is a subset of A. There is no need to assume that A≠B. We won't be proving this by contradiction.

First, let a1∈A. Then for any b1∈B, since A X B ⊆ B X A, there exists a2∈A and b2∈B such that a1=b2 and b1=a2. Since b2∈B and a1=b2, we have that a1∈B. Since a1 was arbitrarily chosen, we have that A ⊆B.

Second, let b1∈B. Then for any a1∈A, since A X B ⊆ B X A, there exists a2∈A and b2∈B such that b1=a2 and a1=b2. Since a2∈A and b1=a2, we have that b1∈A. Since b1 was arbitrarily chosen, we have that B ⊆A.

Thus we have shown that A=B.

The complete question is given below:-

If A and B are two non-empty sets such that AxB = BxA, show that A=B?

To know more about set theory follow

https://brainly.com/question/13151084

#SPJ1

The employee's pre-raise salary was $18.75

The given parameters are

New hourly pay = $20.25

Raise = 8%

The new hourly pay of the employee is calculated using

New hourly pay = Pre-raise salary * (1 + raise)

This gives

20.25 = Pre-raise salary * (1 + 8%)

Divide both sides by 1 + 8%

Pre-raise salary = 18.75

Hence, the employee's pre-raise salary was $18.75

Read more about rates at

https://brainly.com/question/2021001

#SPJ1

If the ratio is 1:18, and we need to know how the other side for the ration 9:?, then we have to multiply 9x18.

9x18=162

so Laurel and Delmar are 162 km away

hope it helps! :3

Answer:2/9

Step-by-step explanation:

Given the function h(x) = x² - 7x - 8. The extremum of the function is the minimum one and its value is h(x) = -32.5

The relation between symmetry of the graph and the extremum point is:

Suppose x = p is the line equation of the graph's symmetry, then f(p) is the extremum value.

The given function is:

h(x) = x² - 7x - 8

Find the x-intercepts:

h(x) = 0

x² - 7x - 8 = 0

(x + 1) (x - 8) = 0

x = -1 or x = 8

The symmetry lies in the middle of x-intercepts. Hence, the symmetry occurs at:

x = (-1 + 8) / 2

x = 3.5

The extremum point is:

h(3.5) = 3.5² - 7 x 3.5 - 8 = -32.5

Since the quadratic term x²  has a positive coefficient, the graph is open downward, hence the extremum point is the minimum one.

Complete question:

Find the extremum of each function using the symmetry of its graph. classify the extremum of the function as a maximum or a minimum and state the value of x at which it occurs. h(x) = x² - 7x - 8

Learn more about extremum value here:

https://brainly.com/question/29500135

#SPJ4

It is saying that irrational numbers like pie can be broken down into approximate irrational numbers and plotted onto points.

Example \(\sqrt{1.6}\) approximate value is 1.264911

That number can be plotted in place of \(\sqrt{1.6}\)

Five integers that are congruent to 4 mod 13 are 4, 17, 30, 43, and 56.

To find integers congruent to 4 mod 13, you can follow these steps:

Step 1: Understand the congruence. Two numbers are congruent mod 13 if their difference is divisible by 13. In this case, we are looking for integers x such that x ≡ 4 (mod 13).

Step 2: Generate the first integer. The first integer is simply 4 because 4 ≡ 4 (mod 13).

Step 3: Add 13 to the previous integer. Adding 13 to the previous integer will give you the next integer in the sequence because (x + 13) - 4 = x - 4 + 13 is also divisible by 13.

Step 4: Repeat step 3 four times. Starting with 4, we get:
4 + 13 = 17
17 + 13 = 30
30 + 13 = 43
43 + 13 = 56

Thus, the five integers are 4, 17, 30, 43, and 56.

To know more about divisible click on below link:

https://brainly.com/question/21416852#

#SPJ11

Answer:

y - 5 = -8/7(x + 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Point-Slope Form: y - y₁ = m(x - x₁)  

Step-by-step explanation:

Step 1: Define

Point (-3, 5)

Point (2, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Step 3: Write Equation

Plug in variables into the general form.

y - 5 = -8/7(x + 3)

y + 3 = -8/7(x - 2)

The weights in a weighted moving average are selected by: Trial and error, Fitting to a regression line, Guessing, Experience.

The methods for selecting weights in weighted moving averages are trial and error, fitting to a regression line, and experience.

When selecting weights for weighted moving averages, the following methods can be used:
Trial and error:

Testing different weight combinations to find the best fit for the data.
Fitting to a regression line:

Analyzing the relationship between the data points and assigning weights accordingly.
Experience:

Using prior knowledge and understanding of the data or similar situations to determine appropriate weights.

For similar question on average.

https://brainly.com/question/29219210

#SPJ11

 Trial and error fitting, fitting to a regression line, and experience are the methods that can be used to select weights in a weighted moving average.

With weighted moving averages, the weights can be selected using various methods. Here are the applicable methods from your given options:

1. Trial and error fitting: Weights can be selected by testing different combinations of weights and observing their impact on the accuracy of the model.

2. Fitting to a regression line: Weights can be determined by fitting a regression line to the data and using the coefficients of the regression line as the weights.

3. Experience: Domain knowledge or past experience with similar data can help in selecting appropriate weights.

In summary, trial and error fitting, fitting to a regression line, and experience are the methods that can be used to select weights in a weighted moving average.

to learn more about regression line click here:

https://brainly.com/question/17731558

#SPJ11

Answer:

The slope of a linear model can be calculated using the formula:

m = Δy / Δx

where:

Δy = change in y (the dependent variable, in this case, total cost)

Δx = change in x (the independent variable, in this case, number of candy bars)

This is essentially the "rise over run" concept from geometry, applied to data points on a graph.

In this case, we can take two points from the table (for instance, the first and last) and calculate the slope.

Let's take the first point (3 candy bars, $6.65) and the last point (25 candy bars, $48.45).

Δy = $48.45 - $6.65 = $41.8

Δx = 25 - 3 = 22

So the slope m would be:

m = Δy / Δx = $41.8 / 22 = $1.9 per candy bar

This suggests that the cost of each candy bar is $1.9 according to this linear model.

Please note that this assumes the relationship between the number of candy bars and the total cost is perfectly linear, which might not be the case in reality.

Answer:

3

Hope this helps!

Step-by-step explanation:

\(\frac{1}{2}\) × 4 × \(\frac{3}{2}\)

1 × 2 × \(\frac{3}{2}\)  ( Simplify 1/2 and 4 )

2 × \(\frac{3}{2}\)

3 ( Simplify 2 and 3/2 )

Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

Now, According to the question :

What is Vertical line?

A vertical line is a line, parallel to y-axis and goes straight, up and down, in a coordinate plane. Whereas the horizontal line is parallel to x-axis and goes straight, left and right.

Is a vertical line positive or negative?

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Hence, Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

Learn more about Vertical line at:

https://brainly.com/question/13425491

#SPJ4