Investors buy a studio apartment for 140000. Of this​ amount, they have a down payment of 21,000. Their down payment is what percent of the purchase​ price? What percent of the purchase price would a ​$49000 down payment​ be?

Given the proportional relationship between the time  Whitney spends babysitting (in hours), x, and the amount of money she earns babysitting (in dollars), y, she needs to babysit for 2 hours to earn $12.

A proportional relationship refers to the relationship between two or more values with equal ratios.

Proportions are relative values or ratios, depicted in fractions, percentages, or decimals.

Equation, y = 6x

Where y = the amount of money Whitney earns babysitting (in dollars)

And x = the hours of babysitting

If y = $12, the number of hours that Whitney needs to babysit is 2 hours ($12/$6)

y = 6x

6x = y

x = y ÷ 6

x = 12 ÷ 6

x = 2

Check:

12 = 6x

12 = 6(2)

12 = 12

Thus, based on the equation modeling the proportional relationship, Whitney should work 2 hours.

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y. The equation that models this relationship is y = 6x. How long does Whitney need to babysit to earn $12? Write your answer as a whole number or decimal.

Answer:

90 inches

Step-by-step explanation: 7 feet*12 inches= 84 and .5 feet*12 inches= 6.

84 inches+ 6inches=90inches

Answer: 1.2ft × 12

= 14.4"

Step-by-step explanation:

GIVE ME DA BRAINS

\(f(x) = (x - 4)(x - 3) \\ g(x) = \frac{7}{(x - 4)(x + 4)} \\ f.g = (x - 4)(x - 3) \times \frac{7}{(x - 4)(x + 4)} \\ (x-4)s \: are \: simplified \\ f.g = \frac{(x - 3) \times 7}{x + 4} = \frac{7x - 21}{x + 4} \\ (f.g) (x) = \frac{7x - 21}{x + 4} \)

The value of the addition of the numbers 7.8+917.62 will be 925.42.

The method of increasing the number is called the addition. or the sum of the two numbers is termed as the addition.

The addition of the numbers will be done as:-

917.62

 +7.80

925.42

First, arrange the number one to another then add from the unit places you will get your answer.

So the addition of the numbers will be 925.42

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Evaluating the distribution sample surveyed and comparing the long run state of the market of the three companies

i) The distribution of sample as at the beginning month of August is :

  Benfel limited =  5000 customers

  Cromwell Ltd  =   7167 customers

  Samtec  Ltd   =   4400 customers

ii) In the long run Benfel limited will have more customers than Cromwell and Samtec because they both lose more customers to Benfel limited than Benfel loses to them. also Benfel keeps a higher percentage of its customer

i) At the Beginning of the month of August the sample size for each company respectively will be

X * 70/100 = 3500 ∴ x ( sample size at August ) = 5000  ( Benfel )

y * 60/100 = 4300 ∴ y ( sample size at August ) = 7167   ( Cromwell )

z * 50/100 = 2200 ∴ z ( sample size at August ) = 4,400  ( Samtec )

ii) In the long run Benfel limited will have more customers than Cromwell and Samtec because they both lose more customers to Benfel limited than Benfel loses to them. also Benfel keeps a higher percentage of its customers

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Answer:

Standard Deviation = 3.22

Variance = 10.36

Step-by-step explanation:

x          P(x)           x × P(x)              x²             x² × P(x)

19         0.20           3.8                  361               72.2

10         0.20             2                   100                20

11          0.30           3.3                   121                36.3

12         0.20           2.4                   144               28.8

13          0.10            1.3                   169                16.9

____________________________________________

                            12.8                                         174.2            => Total

Mean Formula

\(\mu_x = \sum(x \times P(x))\) \(= 12.8\)

\(\mu_x^2 = 163.84\)

Variance Formula

\(\sigma _x^2 = \sum[x^2 \times P(x)] - \mu_x^2\)      

   \(= 174.2- 163.84\\\\=10.36\)

Standard Deviation Formula

\(Standard\ deviation, \ \sigma_x = \sqrt{Variance}\)

                                   \(=\sqrt{10.36}\\\\=3.218\)      

Answer:

cool imma join what is the map?

Answer:

aww man im too late

Step-by-step explanation:

vote me for homecomeing XD

Answer: 5

Step-by-step explanation:

The degree is \(5+m\). Setting this equal to 10, we get m = 5.

The basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

The given piecewise-defined function f(x) has different expressions for different intervals. For x greater than or equal to zero, f(x) takes the value of x. For x less than zero, f(x) is equal to -x. We need to find a basic function that captures this behavior.

Among the options provided, f(x) = |x| is equivalent to the given piecewise function. The absolute value function, denoted by |x|, returns the positive value of x regardless of its sign. When x is non-negative, |x| equals x, and when x is negative, |x| is equal to -x, mirroring the conditions of the piecewise-defined function.

The function f(x) = |x| represents the absolute value of x and matches the behavior of the given piecewise-defined function, making it the equivalent basic function.

In summary, the basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

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Answer:

π is an irrational number whose value is non-terminating and non-recurring. 2 is a rational number. The product of a non-zero rational number and an irrational number is always an irrational number. Hence, 2π is an irrational number.

Step-by-step explanation:

If the variables are not quantitative we cannot do the arithmetic required in the formulas for r.

Quantitative order:

Therefore, if the variables are not quantitative we cannot do the arithmetic required in the formulas for r.

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Answer:

28 students

Step-by-step explanation:

Let number of students in cooking club = x

Number of students in fencing club = 1/5 x

Number of students in chess club = 2(1/5)x

Since, There are 42 more students in the cooking club than in the chess club

Then ;

Number of students in chess club = Number of students in cooking club - 42

2(1/5)x = x - 42

(2/5)x - x = - 42

(2/5)x - x = - 42

-0.6x = - 42

x = 42 / 0.6

x = 70

Hence, number of students in chess club :

(2/5) * 70 = 28

a) Manufacturers that make laptops with a hard disk of at least 100GB: Here are some manufacturers that make laptops with a hard disk of at least 100GB: Apple Asus Dell HP Huawei Lenovo Microsoft Samsung

b) Model number and price of all products (of any type) made by manufacturer B:To find the model number and price of all products (of any type) made by manufacturer B, we would need to know which specific manufacturer B is. Once we know that, we can search for their products and retrieve the model numbers and prices.

c) Model numbers of all color laser printers:The model numbers of all color laser printers will depend on the specific manufacturers. However, we can generally look for color laser printers on the websites of manufacturers such as HP, Canon, Epson, Brother, Lexmark, and Samsung to find their model numbers.

d) Manufacturers that sell laptops, but not PCs: To find the manufacturers that sell laptops but not PCs, we would need to compare the product offerings of different manufacturers and identify those that only offer laptops and not desktop PCs. Some examples of such manufacturers include Apple and Huawei, who do not offer desktop PCs but only offer laptops and tablets.

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Answer:

y=7

Step-by-step explanation:

cause I know that I'm right

Spontaneous reactions are those that occur with no input of energy, and are characterized by a negative standard Gibbs free energy, a positive standard cell potential, and an equilibrium constant greater than one.

A spontaneous reaction is one that occurs without any external input of energy, and it always proceeds in a single direction. Characteristics of a spontaneous reaction include the following:

1. The standard Gibbs free energy of the reaction (δG°) is negative, indicating that the reaction is energetically favorable and will occur on its own.

2. The standard cell potential (δE°cell) is greater than zero, indicating that the reaction is capable of producing a useful electrical current.

3. The reaction's equilibrium constant (K) is greater than one, indicating that the reaction's products are favored over its reactants at equilibrium.

In summary, spontaneous reactions are those that occur with no input of energy, and are characterized by a negative standard Gibbs free energy, a positive standard cell potential, and an equilibrium constant greater than one.

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Answer:

a. 32

b. 32

Step-by-step explanation:

a. 12 + 4y

They gave us the value of "y" which is "5", and substitute that into the expression.

12 + 4y

12 + 4(5)

12 + 20

32

b. 4 (y + 3)

They gave us the value of "y" which is "5", and substitute that into the expression.

4 ( y + 3 )

4 ( 5 + 3)

Distributive property (multiply what is in the parenthesis by what is out of it (4))

4 * 5 + 4 * 3

20 + 12

32

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

8000 feet i think so yeah

The false statement is the range is never greater than the greatest value of a data set.

The collection of all a function's outputs is its range. Example: Let's have a look at the function f: A->B, where f(x) = 2x and A and B each represent a "collection of natural numbers." The domain in this instance is A, and the co-domain is B. The range then appears as the function's output. Set of even natural numbers is the range. The components of the co-domain that are mapped are known as the pictures, while the elements of the domain are known as pre-images. The set of all pictures of the domain's elements, or the set of all the function's outputs, serves as the function's range in this instance.

The second and third quartiles, or the center half of your data set, are contained in the interquartile range (IQR). The interquartile range provides the range of the middle half of a data set, whereas the range provides the spread of the entire data set.

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Answer:

y = 5x - 21

Step-by-step explanation:

\(y+1=5(x-4)\\y+1=5x-20\\y=5x-21\)

The value of the variable x is 5

To determine the value of the variable, we need to know the properties of complementary angles.

These properties are;

From the information given, we have that;

angles 2x + 1 and 79 are complementary angles, then,

2x + 1 + 79 = 90

Now, collect the like terms

2x = 90 - 80

Subtract the values, we get;

2x = 10

Make 'x' the subject of formula

x = 10/2

x = 5

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Answer:

30 apples left

Step-by-step explanation:

169 - 139

=30 apples left  ( basic subtraction ) lols

The number of people are 72.

Highest Common Factor is the full name for HCF in mathematics.

According to the laws of mathematics, the highest positive integer that divides two or more positive integers without leaving a residual is known as the greatest common divisor, or gcd.

Least Common Multiple is the full name for LCM in mathematics.

LCM (a,b) in mathematics stands for the least common multiple, or LCM, of two numbers, such as a and b. The smallest or least positive integer that is divisible by both a and b is known as the LCM.

We need to know the size of the pieces in order to calculate how many people can be fed equal-sized pieces of cake from a 16 by 18-inch cake.

Assume that each piece is a square with sides measuring "x" in length. Each piece's area would be x², and the cake's overall area would be 16 x 18 inches, or 288 square inches.

We must divide the entire area of the cake by the area of each piece to determine the maximum number of pieces that can be cut from the cake:

288 / x² = (16*18) / x² = 288 / x²

Choosing a "x" value that evenly splits into 16 and 18 is necessary if we want every piece to be the exact same size. Since 2 is the greatest possible value, we can divide the cake into 8 rows of 9 squares, yielding a total of 72 pieces.

As a result, a cake measuring 16 inches by 18 inches can be divided into 72 equal-sized pieces, each measuring 2 inches by 2 inches.

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We can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

A two-dimensional figure, form, or planar lamina's area is a measurement of how much space it takes up in the plane.

To find out how many people can be served equal-sized pieces of cake from a cake that is 16 inches by 18 inches, we need to first determine the size of each piece of cake.

The total area of the cake is:

16 inches x 18 inches = 288 square inches

To divide the cake into equal-sized pieces, we need to determine the size of each piece. Let's assume we want each piece to be a square. To find the size of each square, we need to find the square root of the total area of the cake:

√(288 square inches) ≈ 16.97 inches

Since we want the pieces to be exactly the same size, we'll round down to the nearest inch, which gives us:

Each piece of cake will be approximately 16 inches by 16 inches.

To find out how many people can be served equal-sized pieces of cake, we need to divide the total area of the cake by the area of each piece:

288 square inches ÷ (16 inches x 16 inches) = 18

Therefore, we can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

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Answer:

$34,305

Step-by-step explanation:

\( a = 29000 {e}^{.021 \times 8} = 34305\)

The sum of the exterior angles of any polygon is always 360 degrees. In an octagon, there are eight exterior angles.

Let's calculate the sum of the given exterior angles:

\(\sf x + 2x + 4x + 5x + 6x + 8x + 9x + 10x = 360 \\\)

Simplifying the equation:

\(\sf 45x = 360 \\\)

Dividing both sides by 45:

\(\sf x = \frac{360}{45} \\\)

Simplifying:

\(\sf x = 8 \\\)

Therefore, the value of x is 8.

Using Stokes' Theorem and the given vector, we have approximated the line integral ∫C(ydx+zdy+xdz) to be equal to the area of the region R, which is 2.

To approximate the line integral ∫C(ydx+zdy+xdz) using a computer algebraic system (CAS) and Stokes' Theorem, we first need to find the intersection of the plane x+y=2 and the curve C.

1. Find the parametric equations for the curve C:
  Let x = t, then y = 2 - t, and z = 0.
  So, the parametric equations for C are:
  x = t, y = 2 - t, and z = 0.

2. Calculate the cross product of the tangent vector and the given vector:
  The tangent vector to the curve C is given by dr = (dx, dy, dz) = (1, -1, 0).
  The given vector is V = (y, z, x) = (2 - t, 0, t).

  Taking the cross product of dr and V, we get:
  dr x V = (dy * dz - dz * dy, dz * dx - dx * dz, dx * dy - dy * dx)
         = (0 - 0, 0 - 0, 1 - (-1))
         = (0, 0, 2).

3. Evaluate the line integral using Stokes' Theorem:
  The surface S enclosed by the curve C is the projection of the region R in the xy-plane bounded by the curve C.

  Applying Stokes' Theorem, we have:
  ∫C(ydx+zdy+xdz) = ∬S(curl(F) · dS),

  where curl(F) = (curl(F1), curl(F2), curl(F3)) and dS is the surface area vector.

4. Determine the curl of F:
  Since F = (y, z, x), we have:
  curl(F) = (0, 0, 1).

5. Calculate the surface area vector dS:
  The surface area vector dS is given by dS = (dSx, dSy, dSz).

  Since the surface S is in the xy-plane, dSx = 0, dSy = 0, and dSz = 1.

  Therefore, dS = (0, 0, 1).

6. Evaluate the surface integral:
  ∫C(ydx+zdy+xdz) = ∬S(curl(F) · dS)
                   = ∬S(0 * 0 + 0 * 0 + 1 * 1) dS
                   = ∬S dS.

  Since the surface S is a region in the xy-plane, the double integral of dS over S is simply the area of S.

7. Find the area of the region R:
  The region R is the projection of the plane x+y=2 onto the xy-plane.

  To find the area of R, we can solve the equation x+y=2 for y:
  y = 2 - x.

  The region R is bounded by the lines x = 0, x = 2, and the curve C.

  Integrate the expression 2 - x with respect to x over the interval [0, 2] to find the area A:
  A = ∫[0, 2] (2 - x) dx.

  Solving this integral, we get:
  A = [2x - (x^2)/2] evaluated from 0 to 2
    = [4 - 2] - [0 - 0]
    = 2.


Using Stokes' Theorem and the given vector, we have approximated the line integral ∫C(ydx+zdy+xdz) to be equal to the area of the region R, which is 2.

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Answer:

-4/15

Step-by-step explanation:

2×-6=-12

9×5=45

divide -12/45 by 3

which gets you -4/15

The combination of advanced military technology, numerical advantage, and the use of disease as a weapon were critical factors in enabling the Spanish conquistadors to seize control of Tenochtitlán and establish their colonial rule over the Aztec empire.

The Spanish conquest of the Aztec empire in 1521 was a turning point in world history, marking the beginning of Spanish colonial rule in the Americas.

One major factor was the advanced military technology and weaponry of the Spanish. The conquistadors were equipped with steel swords, guns, and armor, while the Aztecs relied on obsidian-tipped weapons and wooden shields.

Another factor was the advantage of numbers. The Spanish arrived in Mexico with a relatively small force of around 500 soldiers, but they were able to recruit indigenous allies and build up their army to around 8,000 soldiers.

A third factor was the use of disease as a weapon. The Spanish brought diseases such as smallpox, which devastated the indigenous populations and weakened the Aztecs, making them more vulnerable to attack.

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Answer:

3x+20/15

Step-by-step explanation: