Solve for x.

3.4>x+2/3

Factors other than independent variables which may act on the dependent variable , when these factors vary systematically with independent variable they are known as confounds variables or extraneous variable.

Therefore, factors which vary systematically with the given independent variable is called  confounds variables or extraneous variable.

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The speed of the plane with no wind is 273 miles/hour.

What exactly is speed?

Speed is a measure of how fast an object is moving, usually measured in distance per unit of time. It is a scalar quantity, which means it has magnitude but no direction.

The formula for speed is:

Speed = Distance / Time

where distance is the total path traveled by an object, and time is the duration of the motion.

Now,

Let's use the following equations to solve for x and y:

x - y = 1680/5 (the speed of the plane against the wind)

x + y = 1680/4 (the speed of the plane with the wind)

Simplifying each equation, we get:

x - y = 336

x + y = 420

Adding the two equations together, we get:

2x = 756

Solving for x, we get:

x = 378

Substituting x into either equation, we can solve for y:

378 + y = 1680/4

y = 105

Therefore, the speed of the plane with no wind (i.e., the airspeed) is:

x - y = 378 - 105 = 273 miles per hour.

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The coordinates of the vertices after the reflection across x = 1 are:

⇒ X'(2,-3),  W(1,0),  V'(2,1)

Now First, let's visualize the reflection across x = 1.

This means that all points will have the same x-coordinate but their y-coordinate will be mirrored across the line x = 1.

So, X(0,-3) will reflect to X'(2,-3),

Since, the distance between X and the line x = 1 is 1 unit,

and the y-coordinate of X' will be the same as that of X.

Similarly, W(1,0) will remain unchanged, as it lies on the line of reflection.

And, Lastly, V(4,1) will reflect to V'(2,1),

Since, the distance between V and the line x = 1 is 3 units, and the y-coordinate of V' will be the same as that of V.

Therefore, the coordinates of the vertices after the reflection across x = 1 are:

⇒ X'(2,-3),  W(1,0),  V'(2,1)

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Answer:

Yes it satisfies the equation

Step-by-step explanation:

Let, P(x,y) = (-9,-4)

Then, x = -9

         y = -4

if we use this value in the equation, we will get L.S = R.S ;(-4 = -9 + 5)

So, the point satisfies the equation

Hope you have understood this

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The contrapositive of the theorem: "for any two real numbers, x and y, if x and y are both rational then x + y is also rational" is given by this:

If x + y is irrational then x is irrational or y is irrational.

If we have two statements p and q, such that p ⇒ q, then the contrapositive of this relation is q' ⇒ p', that is negative of q implies a negative of p.

Let our statements be,

p: x and y are both irrational

∴ p': x is irrational or y is irrational

q: x + y is irrational.

∴ q': x + y is irrational.

The given theorem is the relation, p ⇒ q.

We are asked to find the contrapositive of this theorem. The contrapositive of the relation is, q' ⇒ p'.

This relational statement is:

If x + y is irrational then x is irrational or y is irrational.

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The ratio strength of the final product is 1:0.4.

One technique to indicate concentration is through ratio strength, which uses a ratio to characterize drug concentration. In this context, concentration is defined as the quantity of a solute that makes up one unit in the whole volume of a solution or combination. You should be an expert in ratio strength calculations as a pharmacy student. Ratio strength uses a ratio to describe the medication concentration. So, what it implies is, you have one unit of solute contained in the complete amount of preparation and so generally your ratio strength is expressed as one is to something. In the case of a weight-in-weight, volume-in-volume, or weight-in-volume situation, you would interpret a ratio of 1:2,000 differently.

Drug strength = 800mg

whole volume =2ltrs

The ratio of the solution in 1 ltr is = 400 mg

The ratio strength of the solutions is = 1:0.4

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Answer:

True

Step-by-step explanation:

For three side lengths to form a triangle, the sum of the two smaller side lengths must be greater than the third side length. Otherwise, the sides would  not be able to reach each other.

\(2\sqrt{29}\approx10.77<10+4\)

Therefore, these three segments can form a triangle. Hope this helps!

Company: Amazon, 8 Steps in the Business Model: Define the value proposition. What value does Amazon offer its customers? Amazon offers a convenient and affordable way to shop for a wide variety of products.

Identify the target market. Who are Amazon's customers? Amazon's target market is people who want to buy products online.

Determine the revenue streams. How does Amazon make money? Amazon makes money through product sales, advertising, and subscription fees.

Assess the cost structure. What are Amazon's costs? Amazon's costs include salaries, rent, and marketing.

Develop a marketing plan. How will Amazon reach its target market? Amazon's marketing plan includes online advertising, search engine optimization, and social media marketing.

Create a sales strategy. How will Amazon sell its products? Amazon's sales strategy includes a focus on customer service and convenience.

Build a team. What skills and experience does Amazon need to build a successful business? Amazon needs a team with a variety of skills, including product development, marketing, and sales.

Continuously improve. How will Amazon ensure that its business model is successful? Amazon will continuously improve its business model by listening to customer feedback and adapting to changes in the market.

The 8 steps in the business model are essential for any company that wants to be successful. By following these steps, companies can ensure that they are offering a valuable product or service to the right customers, and that they are able to make money.

In the case of Amazon, the company has clearly defined its value proposition, target market, and revenue streams.

Amazon's marketing plan is also effective, and the company has built a team with the skills and experience necessary to be successful. Finally, Amazon is committed to continuous improvement, which is why the company has been so successful over the years.

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Answer:

-13/4

Step-by-step explanation:

Recall that the order of the operations PEMDAS

1. Parenthesis

2. Exponents.

3. Multiplication.

4. Division.

5. Addition.

6. Subtraction.

1. Given expression is

Multiply 3 and 5, we get

Divide 6 by 2, we get

Subtract 3 from 8, we get

Add 5 and 15, we get

The answer is

2.Given expression is

Multiply 7 and 3, we get

Divide 15 by 5, we get

Subtract 3 from 21, we get

The answer is

3. Given expression is

First, we need to solve inside the parenthesis, divide 12 by 2, we get

Add 1 and 6, we get

Solve exponent.

Multiply 2 and 49, we get

Add 8 and 98, we get

The answer is

Answer:

3/4

Step-by-step explanation:

We can use the slope formula when given two points

m = ( y2-y1)/(x2-x1)

    = ( 5-2)/(1 - -3)

    = (5-2)/(1+3)

    = 3/4

The conversion each unit gives:

12,000 g =   12 kg    

120 cm = 1200 mm

1.2 L = 1200 mL

1,200 cm = 12 m

0. 12 m = 120 mm

Conversion of units is the process of converting between different units of measurement for the same quantity through conversion factors.

1000 g = 1 kg. Thus,

12,000 g =   12 kg    

1 cm = 10 mm. Thus,

120 cm = 1200 mm

1L = 1000 mL. Thus,

1.2 L = 1200 mL

100 cm = 1 m. Thus,

1,200 cm = 12 m

1 m = 1000 mm. Thus,

0. 12 m = 120 mm

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10

A composite number is a positive integer. which is not prime (i.e., which has factors other than 1 and itself). The first few composite numbers (sometimes called "composites" for short) are 4, 6, 8, 9, 10, 12, 14, 15, 16, ... (OEIS A002808), whose prime decompositions are summarized in the following table.

The percentage of fat in this hamburger sample is 15 %.

Percentage is the value per hundredth.

According to the given question a sample of hamburger had a total mass of 200. g, of which 30.0 g was found to be fat.

To find what percentage of the hamburger contains fat we put amount of fat in the numerator and total amount on the denominator and multiply this fraction by 100 to obtain the result in terms of percentage.

∴ (30/200) × 100

= 3000/200

= 30/2

= 15 %.

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Area of the figure is 72.3 mm²

Area is a mathematical term that refers to the measurement of a two-dimensional space or region, usually expressed in square units.

There are a combination of two types of figure, rectangle and a triangle we can find the area one by one and then combine it.

1. Area of rectangle whose length = 12.4 mm and width = 4.0 mm

Area of rectangle = length × width

Area of rectangle = 12.4mm × 4.0mm

Area of rectangle = 49.6 mm²

2. Area of triangle whose base = 8.4mm and height = (17.8 - 12.4) = 5.4mm

Area of triangle = (1/2) × base × height

Area of triangle = (1/2) × 8.4mm × 5.4mm

Area of triangle = 22.68 mm²

So, The total area of the figure = Area of rectangle + Area of triangle

Area of the figure = 49.6 mm² + 22.68 mm² = 72.28 mm²

Therefore, Area of the figure is 72.3 mm²

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Area of a rectangle with dimensions of 12.4 mm in length and 4.0 mm in breadth. Area of the given composite figure is 72.3 mm².

The measurement of a two-dimensional space or region is referred to as an area in mathematics, and it is typically given in square units.

We can separately calculate the areas of the rectangle and the triangle that make up the combination.

Area of a rectangle with dimensions of 12.4 mm in length and 4.0 mm in breadth

Area of rectangle = length × width

Area of rectangle = 12.4mm × 4.0mm

Area of rectangle = 49.6 mm²

Area of triangle whose base = 8.4mm and height = (17.8 - 12.4) = 5.4mm

Area of triangle = (1/2) × base × height

Area of triangle = (1/2) × 8.4mm × 5.4mm

Area of triangle = 22.68 mm²

So, the total area of the figure = Area of rectangle + Area of triangle

Area of the figure = 49.6 mm² + 22.68 mm² = 72.28 mm²

Therefore, Area of the figure is 72.3 mm².

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Answer:

In this case, we can do substitution.

Step-by-step explanation:

For the first one, (s - t)(x) = ((x - 5) - 4x^2)(x) = x^2 - 21x

For the second one, (s*t)(x) = ((x - 5) *4x^2)(x) = 4x^4 - 20x^3

And for the last one,  (s+t)(-2) = ((x - 5) + 4x^2)(-2) = -8x^2 - 2x + 10

Hope your happy with the answer :)

correct option is d. -4x⁵+7x⁴-x³+3x²+10x+14. The leading coefficient is -4.

The given polynomial is -x³+10x-4x⁵+3x²+7x⁴+14.

To write the polynomial in standard form, we write the terms in decreasing order of their exponents i.e. highest exponent first and lowest exponent at last.-4x⁵+7x⁴-x³+3x²+10x+14

Hence, the correct option is d.

-4x⁵+7x⁴-x³+3x²+10x+14. The leading coefficient is -4.

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Answer:

why ??

Step-by-step explanation:

\(2^{4} *2^{3} =16*8=128\)

I hope it helps!

#\(RosalindIsHereSheWillHelpYouDon'tWorry\)

I adore combining like terms! :)

First, let's combine x's:

2x-2x cancel out to 0

Now y's:

-4y

And now numbers or constants:

-4-6=-10

Now write all the terms together:

-4y-10

Hope it helps!

*Just a girl who adores Brainly and listens to "Try Everything"

\(*GraceRosalia*\)

______________________________________________________

Additional Comment:

If you found this answer helpful, please mark Brainliest! :)

Answer:

$17.28

Step-by-step explanation:

20% of $86.40

= \(\frac{20}{100}\) × $86.40

= 0.2 × $86.40

= $17.28 ← commission

Answer:

Choice 1

Step-by-step explanation:

Answer:

x<-1 and Number 1

Step-by-step explanation:

:)

Answer:

x²+y²=58

Step-by-step explanation:

(x-x₁)²+(y-y₁)²=r²

(0,0)=(x₁,y₁) [centre of the circle)

x²+y²=r²

The point (3,7) belongs to the circle.

3²+7²=r²

r²=9+49

r²=58

x²+y²=58

Answer:

856.3

Step-by-step explanation:

17.5 litres of must be added to 14 litres of a 90% acid solution to obtain a 40% acid solution.

A percentage is a number or ratio expressed as a fraction of 100.

Given that, there are 14 litres of a solution which is 90% acidic,

Let water added be x, then according to question,

0.90*14 = 0.40(x+14)

12.6 = 0.40x + 5.6

0.40x = 7

x = 17.5

Hence, 17.5 litres of must be added to 14 litres of a 90% acid solution to obtain a 40% acid solution.

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According to the 75% learning curve, it is estimated that it will take approximately 23.46 hours to manufacture chair number 13.

The learning curve is a concept that suggests the time required to complete a task decreases as the cumulative volume of production increases. In this case, the learning curve is stated to be 75%, which means that for each doubling of the cumulative volume of production, the time required decreases by 25%.

To determine the time it will take to manufacture chair number 13, we need to calculate the learning curve rate. The formula to calculate the learning curve rate is as follows:

Learning Curve Rate = log(learning curve percentage) / log(2)

In this case, the learning curve rate is calculated as:

Learning Curve Rate = log(75%) / log(2) ≈ -0.415

Next, we can use the learning curve formula to find the time required for chair number 13. The formula is:

Time required for a specific unit = Time required for the first unit × (Cumulative volume of production for the specific unit)^learning curve rate

Given that the first premium elegance chair took 68 hours to manufacture, and we want to find the time for chair number 13, the calculation is:

Time required for chair number 13 = 68 × (\(13^{(-0.415)\)) ≈ 23.46 hours

Therefore, it is estimated that it will take approximately 23.46 hours to manufacture chair number 13, which corresponds to option (a) in the provided choices.

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a) U is subspace of R^3.

b) The set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) 2.

a) To show that U is a subspace of R^3, we need to verify the following three conditions:

i) The zero vector (0, 0, 0) is in U.

ii) U is closed under addition.

iii) U is closed under scalar multiplication.

i) The zero vector is in U since 0 + 2(0) - 3(0) = 0.

ii) Let (x1, y1, z1) and (x2, y2, z2) be two vectors in U. Then we have:

x1 + 2y1 - 3z1 = 0 (by definition of U)

x2 + 2y2 - 3z2 = 0 (by definition of U)

Adding these two equations, we get:

(x1 + x2) + 2(y1 + y2) - 3(z1 + z2) = 0

which shows that the sum (x1 + x2, y1 + y2, z1 + z2) is also in U. Therefore, U is closed under addition.

iii) Let (x, y, z) be a vector in U, and let c be a scalar. Then we have:

x + 2y - 3z = 0 (by definition of U)

Multiplying both sides of this equation by c, we get:

cx + 2cy - 3cz = 0

which shows that the vector (cx, cy, cz) is also in U. Therefore, U is closed under scalar multiplication.

Since U satisfies all three conditions, it is a subspace of R^3.

b) To find a basis for U, we can start by setting z = t (where t is an arbitrary parameter), and then solving for x and y in terms of t. From the equation x + 2y - 3z = 0, we have:

x = 3z - 2y

y = (x - 3z)/2

Substituting z = t into these equations, we get:

x = 3t - 2y

y = (x - 3t)/2

Now, we can express any vector in U as a linear combination of two vectors of the form (3, -2, 0) and (0, 1/2, 1), since:

(x, y, z) = x(3, -2, 0) + y(0, 1/2, 1) = (3x, -2x + (1/2)y, y + z)

Therefore, the set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) Since the basis for U has two elements, the dimension of U is 2.

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The Pythagorean Theorem is a fundamental theorem in Euclidean geometry that relates to the sides of a right triangle.

The Pythagoras Theorem states that : in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of squares of lengths of other two sides.

Mathematically, the Pythagoras Theorem is written as:

⇒ c² = a² + b² ;

where c is = length of the hypotenuse, and a and b are the lengths of the other two sides of the right triangle.

The Converse of Pythagoras Theorem states that : If in a triangle, the square of the length of the longest side is equal to the sum of squares of lengths of other two sides, then triangle is a right triangle.

Both the Pythagorean Theorem and its converse apply only to right triangles, which are triangles that have a right angle .

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Answer:

\(\dfrac{1}{729}\)

Step-by-step explanation:

\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)

First, we should evaluate inside the large parentheses:

\((-3)^2 = (-3)\cdot (-3) = 9\)

We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,

\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)

       ↑1 ↑2 ↑3 times because the exponent is 3

Next, we can put the value 9 into where \((-3)^2\) was originally:

\((9)^{-3}\)

We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,

\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)

Finally, we can apply this principle to the \(9^{-3}\):

\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)