Melania is trying to estimate √30. she uses this table of values. What should she do next to find √30 to the nearest hundredth?

To find the consumer's surplus at the point where the monopoly has maximum profit, we first need to find the quantity (x) that maximizes the monopoly's profit. The profit function (P) can be calculated by subtracting the total cost (C) from the total revenue (R):

P(x) = R(x) - C(x)

Given that the total cost function is C = 1,000 + 120x + 6x^2 and the total revenue function is R(x) = (360 - 3x - 2x^2) * x, we can substitute these equations into the profit function and simplify:

P(x) = (360 - 3x - 2x^2) * x - (1,000 + 120x + 6x^2)

P(x) = -2x^3 - 9x^2 + 240x - 1,000

To find the value of x that maximizes the profit, we can take the derivative of the profit function with respect to x and set it equal to zero:

P'(x) = -6x^2 - 18x + 240 = 0

solving for x, we get x = 5 or x = -12.5. Since x represents the number of units, we reject the negative value and conclude that the monopoly has maximum profit when it produces and sells 5 units.

The quantity demanded is given by the demand function, which is p = 360 - 3x - 2x2. Setting this equal to 5, we get p = 325. Therefore, the equilibrium price is $325 per unit. The consumer's surplus is the difference between the maximum amount that consumers are willing to pay and the actual price they pay. The maximum amount that consumers are willing to pay for a unit is given by the demand function evaluated at x = 0, which is p = 360. Therefore, the consumer's surplus at the point where the monopoly has maximum profit is $35 per unit, which is the difference between 360 and 325.

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Answer:0.00234

Step-by-step explanation:

The right response is that the two linear equation never intersect , because the graph of these two linear equation will be two parallel lines.

How many types of solution are there for two linear equations ?

There are 2 types of solution :
Consistent :

A consistent system is said to be an independent system if it has a single solution.

A consistent system is said to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide, so the equations represent the same line. Each point on the line represents a pair of coordinates that fits the system. So there are an infinite number of solutions.

Non-consistent :

Another type of system of linear equations is the inconsistent system, in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no common points for both lines; therefore, there is no solution to the system and if we draw the graph of these equations then the graphs of both equation becomes parallel to each other.

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The two linear equations never intersect.

When a system of two linear equations in two variables has no solution, it means that there is no set of values for the variables that satisfies both equations simultaneously. Geometrically, this corresponds to the two lines represented by the equations being parallel. Since parallel lines never intersect, the statement "The two linear equations never intersect" accurately describes the situation.

If the two linear equations were graphed on a coordinate plane, they would appear as two distinct lines that run parallel to each other without ever crossing or intersecting. This indicates that there is no common point of intersection between the lines, and therefore no solution exists for the system of equations.

It is important to note that this scenario is different from the case where the two linear equations represent the same line. In that case, the equations would be equivalent, and every point on the line would satisfy both equations. However, when there is no solution, it means that the lines do not share any common points and never intersect.

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Answer:

a rational number

Step-by-step explanation:

Rational number are numbers that can be written as a fraction where both the numerator and denominator are integers. This means that both the top and bottom of the fraction are whole numbers.

Answer:

A = Rs 48,000

B = Rs 24,000

C = R2 8,000

Step-by-step explanation:

To solve this problem, create and solve a system of linear equations using the given information.

From the given information:

Therefore, the system of linear equations is:

\(\begin{cases}A=2B\\B=3C\\A+B+C=80000\end{cases}\)

Substitute the second equation into the first to create and equation for A in terms of C:

\(\begin{aligned}A &= 2B\\&=2(3C)\\&=6C\end{aligned}\)

Substitute this and the second equation into the third equation and solve for C:

\(\begin{aligned}A+B+C&=80000\\6C+3C+C&=80000\\10C&=80000\\C&=8000\end{aligned}\)

Now that we have found the monthly income of person C, substitute this value into the expressions for A and B to calculate the monthly incomes of persons A and B:

\(\begin{aligned}A &=6C\\&=6(8000)\\&=48000\end{aligned}\)

\(\begin{aligned}B &=3C\\&=3(8000)\\&=24000\end{aligned}\)

Therefore, the monthly income of each person is:

Answer:

the anwer is true                                                                                                       Step-by-step explanation:

The plural of the word 'radius' is actually 'radii

i learned it and welcome and im happy to help u (: :)

Answer:

solution,

\(3 {x}^{2} - 16x - 12 \\ = 3 {x}^{2} - (18 - 2)x - 12 \\ = 3 {x}^{2} - 18x + 2x - 12 \\ = 3x(x - 6) + 2(x - 6) \\ = (x - 6)(3x + 2)\)

Hope this helps..

Good luck on your assignment..

Answer: (x-6)(3x+2)

Step-by-step explanation:

\(3x^{2} -16x -12\)        Find two numbers that multiply to -36 and add up to get -16

                           -18 and 2 works out.

\(3x^{2}\) - 18x +2x - 12     Now group it  

(3\(x^{2}\) -18x) ( 2x - 12)   factor it out

3x( x -6)  2(x-6)       factor out x-6

(x-6)(3x+2)

Answer:Multiply the second equation by 3. Then subtract the second equation from the first.

Step-by-step explanation:

Volume of a cylindrical silo is given by,

\(V=\pi r^{2}h\)

Here, \(V=\) Volume of the silo

\(r=\) Radius of the cylindrical silo

\(h=\) Hight of the silo

And height of the silo is defined by the function,

\(h(r)=3.5r\)

Option (1)

To get the volume of \(100\) cubic feet, radius must be \(2\) feet.

Height of the silo can be derived from the function,

\(h(2)=3.5(2)\)

      \(=7\) feet

Therefore, volume of the silo = \(\pi r^{2} h\)

                                                 = \(\pi (2)^2(7)\)

                                                 = \(28\pi\)

                                                 = \(87.96\) feet³

Since, \(87.96<100\) cubic feet

Statement is false.

Option (2)

Since, \(V=\pi r^{2} h\)

And \(h(r)=3.5r\)

Therefore, \(V[h(r)]=\pi r^{2}(3.5r)\)

\(V[h(r)]=3.5\pi r^{3}\)

Domain of the function 'V' will be \(r>0\).

Statement is true.

Option (3)

Output of V is the input of h.

From the function,

\(V[h(r)]=3.5\pi r^{3}\)

Volume (output value) of the silo depends on the output value of \(h(r)\).

Therefore, statement is false.

Option (4)

\(V[h(r)]=3.5\pi r^{3}\)

Volume depends on the radius of the cylinder.

Since, output value of the volume depends on the radius.

Statement is true.

Options (2) and (4) are true.

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Answer:

bde

Step-by-step explanation:

Answer:

3.83333333333

Step-by-step explanation:

In polar coordinates, the equation for (a) is r = 10sinθ, the equation for (b) is r = √10, the equation for (c) is r = 6cosθ, and the equation for (d) is r = 10sinθ / (cos^2θ - sin^2θ).

In polar coordinates, a point (r, θ) represents the distance r from the origin and the angle θ measured counterclockwise from the positive x-axis. To express each equation in polar coordinates, we can substitute x = rcosθ and y = rsinθ, then simplify using trigonometric identities and algebraic manipulations.

(a) y = 10

Substituting y = rsinθ, we get rsinθ = 10, or r = 10sinθ.

(b) x^2 + y^2 = 10

Substituting x = rcosθ and y = rsinθ, we get r^2 = 10, or r = √10.

(c) x^2 + y^2 - 6x = 0

Substituting x = rcosθ and y = rsinθ, we get r^2 - 6rcosθ = 0, or r = 6cosθ.

(d) x^2(x^2 + y) = 10y^2

Substituting x = rcosθ and y = rsinθ, we get r^2cos^2θ(r^2cos^2θ + rsinθ) = 10r^2sin^2θ, or r = 10sinθ / (cos^2θ - sin^2θ).

Therefore, in polar coordinates, the equation for (a) is r = 10sinθ, the equation for (b) is r = √10, the equation for (c) is r = 6cosθ, and the equation for (d) is r = 10sinθ / (cos^2θ - sin^2θ).

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Let x be the global workforce before the layoffs.

by question

Hence there are almost 124367 workforces before the layoffs

Responder:

135

Explicación paso a paso:

Número de bolsas compradas = x

Costo total de compra = 675

Costo total de ventas = 1080

Beneficio por bolsa = 3

Por eso :

Beneficio total + costo total de compra = costo total de ventas

3x + 675 = 1080

3x = 1080 - 675

3 veces = 405

x = 405/3

x = 135

Se compraron 135 bolsas

The equation of the circle centered at the origin and passing through the point (-4,0) is \(x^2+y^2=16\).

Equation of a circle

A circle may also be defined as a special kind of ellipse in which the two foci are coincident, the eccentricity is 0, and the semi-major and semi-minor axes are equal.

We know that,

Equation of the circle passing through the origin is given by:-

\(x^2+y^2=r^2\)

Where,

r is the radius of the circle, and

(x,y) are the coordinates of each point of the circle.

Hence, we can write,

The radius of the circle will be :-

\(\sqrt{(0-(-4))^2+(0-0)^2} =\sqrt{ 4^2+0^2} =\sqrt{16}=4 units\)

Hence, r = 4 units.

Hence, the equation of the circle is given by:-

\(x^2+y^2=16\)

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The rationalized expression would be \(\sqrt{3}+\frac{\sqrt{9} }{\sqrt{x}}\).

What is a rationalized expression?

A rationalized expression is an expression that has been written in a simplified form which eliminates any radicals (square roots, cube roots, etc.) from the denominator. The denominator is made a rational number, meaning it can be expressed as a fraction with an integer numerator and denominator. This is done by multiplying both the numerator and the denominator by the radical of the denominator. This process is called rationalization.

The given expression is

                          \(=\frac{\sqrt{9}}{\sqrt{3}+ \sqrt{x} } \\\\=\frac{\sqrt{9} }{\sqrt{3} }+ \frac{\sqrt{9} }{\sqrt{x}}\\\\=\frac{3 }{\sqrt{3} }+\frac{\sqrt{9} }{\sqrt{x}}\\\\=\sqrt{3}+\frac{\sqrt{9} }{\sqrt{x}}\)

Hence, the rationalized expression would be \(\sqrt{3}+\frac{\sqrt{9} }{\sqrt{x}}\).

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Answer:

324

Step-by-step explanation:

a

2

a

1

=

12

4

=

3

a

3

a

2

=

36

12

=

3

⇒

common ratio

=

r

=

3

and first term

=

a

1

=

4

no: of terms

=

n

=

9

Sum of geometric series is given by

S

u

m

=

a

1

(

1

−

r

n

)

1

−

r

⇒

S

u

m

=

4

(

1

−

3

9

)

1

−

3

=

4

(

1

−

19683

)

−

2

=

−

2

(

−

19682

)

=

324

Option b. The oversight was discovered during the preparation of gators' 2021 financial statements. depreciation expense on this machine for 2021 should be $372,000.

The yearly straight-line devaluation cost for the machine would be $186,000 ($930,000/5). In any case, since no deterioration was perceived in 2020, the collected devaluation toward the start of 2021 would be $0 rather than $186,000. In this manner, the complete devaluation cost for 2021 would be the yearly deterioration of $186,000 in addition to the get up to speed devaluation for 2020 of $186,000, for a sum of $372,000. This make up for lost time devaluation is important to address the blunder made in the earlier year and guarantee that the resource is appropriately recorded on the asset report. Accordingly, the right response is $372,000.

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The complete question is:

On January 1, 2020, Oriole Corp. acquired a machine at a cost of $930000. It is to be depreciated on the straight-line method over a 5-year period with no residual value. Because of a bookkeeping error, no depreciation was recognized in Oriole's 2020 financial statements. The oversight was discovered during the preparation of Oriole's 2021 financial statements. Depreciation expense on this machine for 2021 should be

$232500.

$372000.

$186000.

$0.

If Mirka is 5 years old, her parents start to give her pocket money of 50p per week , then the amount of pocket money does Mirka get in the first year is £26 .

the amount that Mirka gets per week is = 50p ;

Age of Mirka is = 5 years ;

When Mirka is 5 years old, she starts to receive 50p per week in pocket money. On her birthday, her parents increase her pocket money by 50p.

that means ;

So, for the first year, the pocket money will be 50p per week for 52 weeks (1 year),

Pocket money in the first year = 50p × 52 weeks = £26 .

Therefore , Mirka will get £26 in the first year of her birthday .

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Answer:

<A= 60 degrees

Step-by-step explanation:

Since cosA=0.5, we can take the inverse cos of 0.5 to get 60 degrees.

Hope this helped!

The area of the compound figure can be calculated as the sum of smaller areas of known shapes, as shown below:

There are 3 rectangles and one triangle.

The first rectangle has dimensions of 19 ft by 7 ft. Area = 19 ×7 = 133 sq ft

The second rectangle has dimensions of 6 ft by 11 ft. Area = 6 ×11 = 66 sq ft

The third rectangle has a width of 7 ft and a length of 4 + 6 + 3 = 13 ft. Area = 7 ×13 = 91 sq ft

The value of x can be obtained by subtracting the length of the third rectangle minus 7 ft: x = 13 - 7 = 6 ft

The base of the triangle is b = x + 5 = 11 ft

The height of the triangle is h = 5 ft

The area of the triangle is:

The total area of the figure is 133 + 66 + 91 + 27.5 = 317.5 sq ft

Answer:

\(y=-\frac{4}{3} x+\frac{10}{3}\)

Step-by-step explanation:

First, we need to get this in y=mx+b form.

m=slope

b=y axis intercept

8x+6y+1=0

8x+6y=-1

6y=-8x-1

\(y=-\frac{4}{3}x-\frac{1}{6}\)

now that we have it in y=mx+b form, we know the slope. For the new equation, the slope will be the same and the only thing we don't know is the y axis intercept, so we'll have to solve for it.

\(6=-\frac{4}{3}(-2)+b\\6=\frac{8}{3} +b\\\frac{10}{3}=b\)

Now that we know b, we just put it with the rest of the equation.

\(y=-\frac{4}{3} x+\frac{10}{3}\)

Step-by-step explanation:

rotate50 degrees [rjrrjrjjejeirjrjr

To find the z-score, you subtract the mean of the data set from the value you're interested in, and then divide the result by the standard deviation of the given data set.

The z-score is used to measure how many standard deviations a value is from the mean of a set of the given sample data set.

The resulting value is the z-score, which tells you how many standard deviations away from the mean the value is. This allows you to compare values from the same data set to see how unusual or typical the data set are.

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Answer:

h=-2

k=-3

Step-by-step explanation:

in ax²+bx+c=0

sum of roots=-b/a

product of roots=c/a

sum of roots=5+h+1=h+6

product of roots=5(h+1)

so h+6=-(k-1)/1

so h+6=-k+1

h+k=1-6

h+k=-5

and 5(h+1)=-5/1

5(h+1)=-5

h+1=-5/5=-1

h=-1-1=-2

-2+k=-5

k=-5+2=-3

Answer:

3rd option, x^2-x-6/2x+3

The expression in the simplified form will be (x² - x - 6) / (2x + 3). Then the correct option is C.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ [(x² - 3x - 10) / (x + 3)] / [(2x² - 7x - 15) / (x² - 9)]

Simplify the expression, then we have

⇒ [(x² - 3x - 10) / (x + 3)] / [(2x² - 7x - 15) / (x² - 9)]

⇒ [(x² - 3x - 10) (x² - 3²)] / [(2x² - 7x - 15) (x + 3)]

⇒ [(x² - 5x + 2x - 10) (x - 3)(x + 3)] / [(2x² - 10x + 3x - 15) (x + 3)]

⇒ [(x - 5)(x + 2)(x - 3)] / [(2x + 3)(x -  5)]

⇒ [(x + 2)(x - 3)] / (2x + 3)

⇒ (x² - x - 6) / (2x + 3)

The expression in the simplified form will be (x² - x - 6) / (2x + 3). Then the correct option is C.

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Answer:

11 degrees

Step-by-step explanation:

Starting from -8 and counting upwards towards 0 then on to 19

-8 , -7 , -6 , -5 , -4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19

Answer:

37.5 if u multiply

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

It's rational because it terminates

Answer:

akhavkreugvakrehfgv

Step-by-step explanation:

Answer:

(-5,4)

Step-by-step explanation:

A: (5,4)

Reflect it across the y axis would mean you negate the x value

So if you reflect it across the y axis, 5 would become -5

Answer:

B

(-5,4)

Step-by-step explanation:

square 1 (+,+) square 2 (-,+) square 3 (-,-) square 4 (+,-) Find the coordinates is (5,4) but reflect the y-axis so it goes to square 2 where the x-axis turns in to a negative