Evaluate the expression (2+5)4

[tex]\displaystyle\\Answer:\ y=\sqrt{\frac{x-1}{2} } \ \ \ \ (x\geq 1,\ \ \ \ y\geq 0)[/tex]

Step-by-step explanation:

[tex]y=2x^2+1\\[/tex]

We change the argument and the value:

[tex]\displaystyle\\x=2y^2+1\\\\x-1=2y^2+1-1\\\\x-1=2y^2\\[/tex]

Divide both parts of the equation by 2:

[tex]\displaystyle\\\frac{x-1}{2}=y^2\\\\ \sqrt{\frac{x-1}{2} }=y \ -\ the\ desired\ inverse\ function\\\\[/tex]

The restrictions are imposed on the inverse function by on x:

[tex]x-1\geq 0\\x\geq 1[/tex]

The restrictions are imposed on the inverse function by on y:

[tex]y\geq 0[/tex]

Then the original function is defined on the sets:

[tex]x\geq 1,\ \ \ \ y\geq 0[/tex]

The initial function, a parabola, is constrained because of the inverse function; only in this case the functions are reciprocal.

Answer:

Kelsey can buy 9 books.

Step-by-step explanation:

If Kelsey wants to buy as much books as possible with 30$, multiply 3$ by 9 (books) which is 27$.

30$-27$ is 3$ so she will have 3$ extra dollars to use for shipping.        2$ is the price for shipping so she will have an extra dollar.

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3.0582524271844

Step-by-step explanation:

1.multiply the numbers:3.6×105=378

2.multiply the numbers:1.2 ×103=123.6

3.Divide the numbers:378/123.6=3.0582524271844

For the entire independent-measures experiment 24 individuals are participated.

Different participants are utilized in each condition of the independent variable in an experimental design known as an independent measures design, or between-groups. This indicates that a different group of participants is present for each condition of the experiment. A research strategy known as an independent measures design uses numerous experimental groups with subjects only being assigned to one group. Throughout the experiment, each participant is solely exposed to one independent variable condition. A drug trial for a novel medicine would serve as an example. This has the benefit of preventing order effects, which occur when participants behave differently as a result of the order in which conditions are done, often as a result of factors like boredom or exhaustion.

We are given the value  t(22) = 5.30, p < .01

So here degree of freedom (df) is 22 and it is independent so there is two samples,

so df= n₁+n₂-2

⇒ 22 =  n₁+n₂-2

⇒ n₁+n₂ = 24.

Thus for the entire experiment 24 individuals are participated.

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The expression becomes 4 + 2*(14-3) to get the answer value of the 26.

According to the statement

We have to find that the parentheses of the given expression.

So, For this purpose, we know that the

Algebraic expression definition, a symbol or a combination of symbols used in algebra, containing one or more numbers, variables, and arithmetic operations.

From the given information:

The expression is :

4 + 2 * 14 – 3

Then rearrange it to get the answer value of 26.

For this use associative property

then

it will become and Written like this    

4 + 2*(14-3)

4 + 2*(14-3)  = 4 + 2*11

4 + 2*(14-3)  = 4 + 22

4 + 2*(14-3) = 26

So, The expression becomes 4 + 2*(14-3) to get the answer value of the 26.

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A line has no thickness, but it does have direction and infinite length.

A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions.

Given the variety of geometries in modern mathematics, the idea of a line is directly related to how the geometry is described. For instance, a line in the plane is frequently defined in analytic geometry as the collection of points whose coordinates satisfy a given linear equation, but in a more abstract context, such as incidence geometry, a line may be an independent object, distinct from the collection of points that lie on it.

In cartesian plane the general equation of a line is given by :

y=mx+c where the slope is denoted by m and the y-intercept by c.

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The argument of complex number ([tex]\frac{4}{5}[/tex]+i[tex]\frac{3}{5}[/tex] ) is  [tex]tan^{-1}[/tex]([tex]\frac{3}{4}[/tex])

Complex number:

A complex number is a result of adding a real and an imaginary number. A complex number has the formula a + ib and is usually represented by the symbol z. Both a and b are real numbers in this case. The value 'a' is known as the real part, which is denoted by Re(z), and the value 'b' is known as the imaginary part Im (z). ib is also known as an imaginary number.

Argument:

A complex number is represented in polar form by the equation r(cos[tex]\theta[/tex] +isin[tex]\theta[/tex]), where [tex]\theta[/tex] is the argument. Arg(z) denotes the argument function, where z is the complex number, i.e. z = x + iy. The complex argument can be determined by the following formula:

arg (z) = arg (x+iy) = [tex]tan^{-1}[/tex](y/x)      

Here the given complex number is ([tex]\frac{4}{5}[/tex]+i[tex]\frac{3}{5}[/tex] )

arg (z) = arg ([tex]\frac{4}{5}[/tex]+i[tex]\frac{3}{5}[/tex] )= [tex]tan^{-1}[/tex]([tex]\frac{3}{4}[/tex])

Therefore,the argument of complex number ([tex]\frac{4}{5}[/tex]+i[tex]\frac{3}{5}[/tex] ) is  [tex]tan^{-1}[/tex]([tex]\frac{3}{4}[/tex])

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The amount of money in sales that Nolvia needs to earn a salary that exceeds $40,000 is greater than or equal to $19,000.

Given that:-

Fixed salary of Nolvia = $21,000

Commission tax that Nolvia gets = 4 %

Linear equation of Nolvia's salary and commission tax = 21000 + 0.04x

Where,

s represents her salary

x represents total sales

We have to find the amount of money in sales that Nolvia needs to earn a salary that exceeds $40,000.

The amount of money in sales that Nolvia needs to earn a salary that exceeds $40,000 = 40000 - 21000 ≥ $ 19,000

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Step-by-step explanation:

(3.5q³k^4)³                    (2q²k³)²

(42.875 q^9 k^12)      (4 q^4 k^6)

171.5 q^13 k^18

The answer is C.

In  linear equation, the distance of the flowerbed from the hive is 2250 feet.

What in mathematics is a linear equation?

Let , the distance of the flowerbed from the hive is  feet.

The bee flies 20 feet per second directly to a flowerbed from its hive and flies directly back to the hive at 12 feet per second.

      time =   distance / speed

So, the time taken by the bee to reach the flowerbed x/20 seconds and the time taken to fly back to the hive = x/12  seconds.

The bee stays at the flowerbed for 15 minutes or (15×60)seconds or 900 seconds and it is away from the hive for a total of 20 minutes or (20×60)seconds or 1200 seconds.

So, the equation will be

 x/20 + x/12 + 900 = 1200

3x + 5x / 60 = 300

8x  = 300 * 60

x = 2250

Thus, the distance of the flowerbed from the hive is 2250 feet.

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Answer:

When expenses are greater than revenue (first choice)

Step-by-step explanation:

Answer:

When expenses are greater than our revenue

The value of the variable x is found to be x = 9.

A bisected angle divides the two sides in equals.

JKM = LKM

As, both are equal.

Then, each of these angles are 1/2 the angle JKL.

1/2 JKL = MKL

1/2 ×( 92) = 5x + 1

Further simplifying;

46 = 5x+1

Subtract 1 from each side

46-1 = 5x

45 = 5x

Divide each side by 5

45/5 = 5x/5

x = 9

Thus, the value of the unknown variable is found to be x = 9 units.

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The scaled triangles perimeter is 1/3 the size of the original triangles perimeter

All of the sides of the triangle known as the Scalene Triangle are of various lengths. It indicates that all three angles and all three sides of a scalene triangle are of different sizes. According to sides, there are three different kinds of triangles.

A triangle is represented as a three-sided polygon in geometry and is a closed, two-dimensional planar object having three sides and three angles. There are three edges and three vertices on it.

According to the given values;

original:

hieght=24   slant=  24    lenght=24

Scaled:

hieght=8  slant=  8   lenght=8

Looking at the dimension of both triangles,

The relationship between the original and the scaled copy is : 1/3*original

Hence, the perimeter is:1/3*perimeter(original)

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Answer: input is h, output is k

Step-by-step explanation: inserting a number into h will give you your outcome of k in the solution

Answer:

Step-by-step explanation:

The dimension of the base of the rectangular building is 340 x 135ft.

Perimeter of Rectangle:

The definition of perimeter of the rectangle is the total length or distance of its boundary on all sides.

The general formula to calculate the Perimeter of a rectangle is,

P = 2(l + w)

Where,

l represents the length of the rectangle

w represents the width of the rectangle.

Given,

The building in a city has a rectangular base. the length of the base measures 65ft less than three times the width.

The perimeter of this base is 910ft.

Now, we need to find the dimensions of the rectangular base.

According to the given details, the values of

L = 3W - 65

W = W

P = 910

Apply the values on the formula, then we get,

=> 910 = 2 * (L + W)

=> 910/2 = (L + W)

=> 455 = L + W

Apply the value of L,

=> 475 = 3W - 65 + W

=> 475 + 65 = 4W

=> 540 = 4W

=> 540/4 = W

=> W = 135

Apply the value of W as 135, in order to get the value of L,

=> L = 3*135 - 65

=> L = 405

=> L = 340

Therefore, the dimension of the rectangular base is 340 x 135 ft.

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Answer:

Option A, or x-5>57

Step-by-step explanation:

Answer:

The Recursive formula for the given condition is f(n-1) . 1/2 and the Explicit formula for the same situation is f(n) = 300 . (1/2)^x

Step-by-step explanation:

It is given that Claire has $300 in an account and she decides that she is going to take out half of the amount left in there in the account at the end of each month.

For such a situation, first of all let's take a look at the graph given below;

Now, let us understand what is recursive and explicit;

Recursive: A recursive formula bases its value on the preceding term whereas,

Explicit: An explicit formula offers the value of a given phrase depending on the location.

Furthermore, by looking at the graph attached herewith, it can be figured out that,

Recursive formula for the above mentioned condition will be;

=> f(0) = 300, f(n)

=> f(n-1) . 1/2

and the Explicit formula for the above mentioned situation will be;

=> f(n) = 300 . (1/2)^x

Therefore, the Recursive formula for the above mentioned condition is f(n-1) . 1/2 and the Explicit formula for the above mentioned situation is f(n) = 300 . (1/2)^x

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Answer: -26

Step-by-step explanation:

5 x -6 = -30

-30 + 4 = -26

5(-6) + 4 = -26

Answer:

$20.1

Step-by-step explanation:

1 small package is $2.60

1 large package is $3.50

We multiply 3.5 * 5 since there are 5 large packages and we add 1 small package to get $20.1

Answer:

$20.10

Step-by-step explanation:

Let s = the cost of a small package and

l = the cost of a large package

1 small pakcage and 5 large package

1s+5l

Substitute s = $2.60 and l = $3.50

1($2.60) + 5(3.50)

= $20.10

A qualitative forecasting technique that is useful for identifying what consumers like and dislike about a product is Market research.

What methods are employed in a qualitative forecast?

The expert opinion approach, the Delphi method, and the market survey approach are the three main methods utilized in qualitative forecasting.

What are qualitative forecasting models, and when are they useful?

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The owner's profit for a ten-day period is equal to $ 6100.

We are given that:

Selling price of 1 pizza slice =  $ 2.50

Number of pizza slice sold per day = 200

Selling price for pizza slices in a day = 200 × $ 2.50

SP ( pizza ) = $ 500

Selling price of 1 sandwich = $ 2

Number of sandwich sold per day = 85

Selling price for pizza slices in a day = 85 × $ 2

SP ( sandwich ) = $ 170

Selling price in 1 day = $ 500 + $ 170 = $ 670

Now, Cost price in 1 day = $ 60

Profit in  1 day = $ 670 - $ 60 = $ 610

Profit in 10 days = 10 × $ 610 = $ 6100

Therefore, the owner's profit for a ten-day period is equal to $ 6100.

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The dimensions of the rectangular base of the building with the given perimeter are 120ft and 285ft.

The perimeter of rectangle is expressed as;

P = 2( l + w )

Given the data in the question;

Let x represent the width of the rectangular base.

Plug these values into the equation above.

P = 2( l + w )

810 = 2( (3x-75) + x )

810 = 6x - 150 + 2x

810 = 8x - 150

8x = 810 + 150

8x = 960

x = 960/8

x = 120

Hence,

Width of the rectangle = x = 120ft

Length of the rectangle = 3x-75 = 3(120) - 75 = 285ft

Therefore, the dimensions of the rectangular base of the building with the given perimeter are 120ft and 285ft.

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The equation that best represents the parabola given in this problem is:

A. y = (x - 2)² - 3.

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

For this problem, the vertex is at (2, -3), hence:

h = 2, k = -3.

And:

y = a(x - 2)² - 3.

When x = 0, y = 1, hence:

1 = 4a - 3

4a = 4

a = 1.

Hence the equation is given by:

A. y = (x - 2)² - 3.

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The number of tickets that she buys will be 14 tickets.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Marianne owes $56 for tickets to the school play. If each ticket cost $4. Then the number of tickets that she buys will be given as,

⇒ 56 / 4

⇒ 14 tickets

The number of tickets that she buys will be 14 tickets.

Your question was incomplete, but the complete question was given below.

Marianne owes $56 for tickets to the school play. If each ticket cost $4, how many tickets did she buy?

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The common ratio between successive terms in the sequence is 1. 25

Common ratio is defined as the ratio of each term of a geometric sequence to the term before it.

It is also known as the constant factor between consecutive terms of a geometric sequence.

It is  the number multiplied or divided by at each interval.

Given the sequence;

1.5, 1.2, 0.96, 0.768,

The common ration is;

= 1. 5/ 1. 2

= 1. 25

Thus, the common ratio between successive terms in the sequence is 1. 25

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Answer:

3 equal side 3 congruent angles of 60°

Step-by-step explanation:

what are some properties of an isosceles triangle

3 equal side 3 congruent angles

Answer:

-6r+5

Step-by-step explanation:

Combining the like terms

⇒-4r-2r+5

⇒-6r+5

Answer:

10 sec

Step-by-step explanation:

Answer:

81, 225, 361

Step-by-step explanation: