1 pizza costs $0.50 to make. They sell it for $12. Find the percent markup.

Using it's concept, it is found that the inverse function is \(y = \sqrt{9 - x}\), and the domain is \(x \leq 9\).

The inverse of a function y = f(x) is found exchanging x and y and isolating y. The domain of the inverse is the range of the original function f(x).

In this problem, the function is:

y = 9 - x²

Then, we exchange and isolate y, hence:

\(x = 9 - y^2\)

\(y² = 9 - x\)

\(y = \sqrt{9 - x}\)

The domain is \(9 - x \geq 0 \rightarrow x \leq 9\), as looking at the graph of y = 9 - x², the range is \(y \leq 9\).

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Answer:

It's 1/6

Step-by-step explanation:

all you have to do is multiply the answer by 1/3 so 1/3 times 1/2 equals 1/6 so your answer is 1/6

Answer:

Step-by-step explanation:

math   way you can put this picture in and it legit tells u the answer and explains it trust me

Let the cost of a dozen apples be x and the cost of a loaf of bread be y.As per the given information, a dozen apples and 2 loaves of bread cost $5.76.Thus we can write the first equation as:

12x+2y = 5.76 .....(1)  Half a dozen apples and 3 loaves of bread cost $7.68.Thus we can write the second equation as:6x+3y = 7.68 .....(2)Now, let's solve for the value of y, which is the cost of a loaf of bread, using the above two equations.

In order to do so, we'll first eliminate x. For that, we'll multiply equation (1) by 3 and equation (2) by -2 and then add the two equations. This is given by:36x + 6y = 17.28 .....(3)-12x - 6y = -15.36 .....(4)Adding equations (3) and (4), we get:

24x = 1.92Thus,x = 1.92/24 = 0.08 Substituting the value of x in equation (1), we get:12(0.08) + 2y = 5.76 => 0.96 + 2y = 5.76 => 2y = 5.76 - 0.96 = 4.8Therefore,y = 4.8/2 = $2.40Hence, the cost of a loaf of bread is $2.40.

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If q = D(x) = 800 - 4x, then, the elasticity is E(x) = x / (200 - x). Therefore, option A. is correct.

To find the elasticity of demand, we will use the following terms in the answer: elasticity (E), demand function (D(x)), and quantity (q). We are given the demand function D(x) = 800 - 4x.

First, let's find the derivative of the demand function with respect to x, which represents the slope of the demand curve at any point x. We will call this derivative D'(x).
D'(x) = -4

Now, to find the elasticity (E), we use the formula:
E(x) = (x * D'(x)) / D(x)

Substitute the values of D'(x) and D(x) in the formula:
E(x) = (x * -4) / (800 - 4x)

Simplify the equation:
E(x) = (-4x) / (800 - 4x)

This is equivalent to option A:
E(x) = x / (200 - x)

So, the correct answer is A. E(x) = x / (200 - x).

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When a rectangle is rotated about the y-axis, it creates a solid shape known as a cylindrical shell or a hollow cylinder.

When a rectangle is rotated about the y-axis, each point on the rectangle traces a circular path.  

The resulting shape is a solid formed by the collection of these circular paths, creating a cylindrical shell or a hollow cylinder.

The height of the cylinder corresponds to the length of the rectangle, while the circumference of the cylinder corresponds to the width of the rectangle. The rotation about the y-axis gives the shape a cylindrical appearance, with the y-axis running through the center.

This shape is often used in calculus and geometry to calculate volumes and solve related problems. It is important to note that the rotation about the y-axis assumes that the longer side of the rectangle is aligned parallel to the y-axis.

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When a rectangle is rotated about the y-axis, it creates a solid shape known as a cylindrical shell or a hollow cylinder.

When a rectangle is rotated about the y-axis, each point on the rectangle traces a circular path.  

The resulting shape is a solid formed by the collection of these circular paths, creating a cylindrical shell or a hollow cylinder.

The height of the cylinder corresponds to the length of the rectangle, while the circumference of the cylinder corresponds to the width of the rectangle. The rotation about the y-axis gives the shape a cylindrical appearance, with the y-axis running through the center.

This shape is often used in calculus and geometry to calculate volumes and solve related problems. It is important to note that the rotation about the y-axis assumes that the longer side of the rectangle is aligned parallel to the y-axis.

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On solving the provided question we can say that - volume of 1 ball = V = 4/3 \(\pi r^3\\\) and volume of 8 balls = 40928.196

The geometric equivalent of a two-dimensional circle in three dimensions is a sphere. In 3D space, a sphere is a collection of points that are all located at the same r distance from a single point. The sphere's radius is denoted by r, and its center is the provided location. In geometry, a sphere is the collection of all points that are the same radius (distance) away from a certain point (center) in three dimensions, or the outcome of rotating a circle by one of its diameters. The parts and characteristics of a sphere resemble a circle's.

given,

radius of sphere = 10.7

volume of 1 ball = V = 4/3 \(\pi r^3\\\)

V= 4/3 X 3.14 X (10.7)  X (10.7) X (10.7)

V= 5116.0245

volume of 8 balls = 40928.196

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Each pair of events should be dragged to the correct location in the table as follows;

Dependent Events                                Independent Events

On time and rainy                                   delayed and sunny

Snowy and on time

Foggy and delayed

Based on the information provided in the table (see attachment), we can calculate the probability for each of the events as follows;

P(sunny) = 36/189

P(delayed) = 83/189

P(sunny and delayed) = 15/189

P(on time) = 153/189

P(rainy) = 29/189

P(on time and rainy) = 20/189

P(on time and snowy) = 5/189

P(snowy) = 153/189

P(foggy) = 29/189

P(delayed and foggy) = 4/189

P(delayed) × P(sunny) - P(sunny and delayed)

83/189 × 36/189 - 15/189 = 0.004 ≈ 0 (it is an independent event).

In conclusion, we can logically deduce that all of the other events would be classified as dependent events.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Dependent Events                                   Independent Events

-on time and rainy                                   -delayed and sunny

-snowy and on time

-foggy and delayed

hope this helped!

An initial amount of $725,000, an APR of 6.25%, and a desired time frame of 22 years, the monthly withdrawal amount would be approximately $4,491.95.

To calculate the monthly withdrawal amount that would completely exhaust your savings in 22 years, we can use the present value of an ordinary annuity formula. The present value (PV) represents the initial amount you have, the interest rate per period (i) is the monthly interest rate, and the number of periods (n) is the total number of months.

Here's the step-by-step calculation:

Convert the APR to a monthly interest rate:

Monthly interest rate (i) = Annual interest rate / Number of compounding periods per year

i = 6.25% / 12 = 0.0625 / 12 = 0.00521 (rounded to 5 decimal places)

Determine the total number of periods:

Total number of periods (n) = Number of years * Number of compounding periods per year

n = 22 * 12 = 264

Use the present value of an ordinary annuity formula to calculate the monthly withdrawal amount (PMT):

PMT = PV / [(1 - (1 + i)^(-n)) / i]

In this case, PV = $725,000

PMT = $725,000 / [(1 - (1 + 0.00521)^(-264)) / 0.00521]

Calculate the monthly withdrawal amount using a financial calculator or spreadsheet software:

PMT ≈ $4,491.95 (rounded to the nearest cent)

Therefore, you can withdraw approximately $4,491.95 per month to completely exhaust your savings in 22 years assuming monthly compounding.

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9.38

please don't trust this answer

Answer:

If I'm understanding the question, everyone would get 1/40

Step-by-step explanation:

4/5 was wasted, so 1/5 remains.

there's 8 people, meaning it has to be split 8 ways.

1 x 1 = 1

5   8   40

if this was correct brainliest is appreciated

Answer:

I have no idea I’m doing it to pleas help

Step-by-step explanation:

Help me

Answer:

-14.5

Step-by-step explanation:

To get the calculator and type 2.2+0.3-13-4

The maximum abundance of species 1 if 250 of species 2 coexists with it is B. 500.

Determine the carrying capacity ratio between species 1 and 2.
Carrying capacity of species 1 = 1000
Carrying capacity of species 2 = 500
Ratio = 1000 / 500 = 2

Calculate the abundance of species 1 considering the presence of species 2.
Abundance of species 2 = 250
Abundance of species 1 = 2 * 250 = 500

So, the maximum abundance of species 1 if 250 of species 2 coexists with it is 500 (Option B).

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Answer:

100(10t-x)

Step-by-step explanation:

factor 100 out from the expression

Given:

Consider the given polynomial is:

\(x^3+4x^2+16x+64\)

To find:

The complete factorization of the given polynomial.

Solution:

We have,

\(x^3+4x^2+16x+64\)

Using grouping method, we get

\(=(x^3+4x^2)+(16x+64)\)

\(=x^2(x+4)+16(x+4)\)

\(=(x+4)(x^2+16)\)

\(=(x+4)(x+4i)(x-4i)\)         \([\because x^2+y^2=(x+iy)(x-iy)]\)

Therefore, the correct option is C.

The book  'Terrible Weather' was written by WAYNE DROPS

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Solving the equations,

1) 5x-7 = 4x+3

x = 10 (N)

2) 6+2x = 7x-9

5x = 15

x = 3 (O)

3) 8x+1 = -8-x

-9x = 9

x = -1 (A)

4) -5+12x = 18x+7

6x = -12

x = -2 (S)

5) -4x+3 = 5x-13-x

8x = 16

x = 2 (R)

6) -10-11x+24 = 3x

14x = 14

x = 1 (E)

7) 8+3x = x+11+2x

3x-3x = 11-8

3 = 0

No solution (Y)

8) 5+17x+9 = 2x+21x+14

6x = 0

x = 0 (D)

9) 6x+8-13x+10 = 4-6x-11+4x

-7x+18 = -7-2x

5x = 25

x = 5 (W)

10) -14+5-x-3 = x+6+x+3x

-18 = 6x

x = -3 (P)

Now, the answer is coded as 93716 852104

Decoding with the help of the solutions of the given equations

WAYNE DROPS

Hence, the answer is WAYNE DROPS

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Of the following one that is not considered a guideline for developing visualizations is vary the scale to conserve space whenever possible. (Option B)

Data and information visualization refers to an interdisciplinary field that focuses on the graphic representation of data and information. It is an efficient way of communicating when the data or information is numerous. It aims to present the data in a clear manner and with a clear purpose. The aim of the texts and labels should be to clarify and not clutter. According to the guidelines for developing visualization, it is not recommended to vary the scale to conserve space whenever possible.

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Answer:

5/1 or just 5

Step-by-step explanation:

rigtht 15:3 as 15/3 and then cancel 15 and three (3x1=3 and 3x5=15)

The currency called the dollar can be divided or reduced into smaller forms also known as pennies, quarters, nickels and dimes.

The number of pennies is 5, the number of dimes is 5, the number of quarters is 30.

It is important to note that

a penny = $0.01

a dime = $0.10

a quarter = $0.25

Let's represent the number of

pennies = p

dimes = d

quarters = q

The number of pennies is equal to the  number of dimes, hence:

p = q, so we can represent the number of pennies and dimes as y

The box currently  contains 40 coins

So: 40 = y + y + q

q = 40 - 2y...........Equation 1

The total value of the coins is $8.05

So: 0.01y + 0.1y + 0.25q = 8.05 ........... Equation 2

We substitute 40 - 2y for q in Equation 2

0.01y + 0.1y + 0.25(40 - 2y) = 8.05

0.01y + 0.1y + 10 - 0.5y = 8.05

Collect like terms

0.01y + 0.1y - 0.5y = 8.05 - 10

-0.39y = -1.95

Divide both sides by -0.39

-0.39y/-0.39 = -1.95/0.39

y = 5

Since y represents the number of pennies and dimes,  the number of pennies is 5 and the number of quarters is 5.

To solve for the number quarters, we would use equation 1

q = 40 - 2y...........Equation 1

q = 40 - 2 x 5

q = 40 - 10

q = 30

The number of quarters is 30.

Therefore, we have 5 pennies, 5 dimes, and 30 quarters.

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Answer: $108

Step-by-step explanation:

what is 144 / 4 ? 36 = one meal ticket

what is 36 x 3 ? 108

each game ticket costs 108 dollars

Answer:

4.9 = 490%

15.27% = .1527

Step-by-step explanation:

1. To convert a decimal into a percentage, you multiply the decimal by 100.

2. (Solving)

4.9:

15.27%:

Therefore, the answers are 490% and .1527.

Answer: 490% and .1527

Step-by-step explanation:

Decimal to percentage: move decimal place 2 spaces to the left

Percentage to decimal: move decimal 2 space to the right

Answer:

Step-by-step explanation:

Rap music is generally more popular with young blacks than young whites, during the 80s-90s when rap was becoming more popular with artists such as 2pac, BIG, Dr. Dre, etc they were more popular among young blacks than whites

Among the given differential equations, A, B, C, F, G, H, and I can be classified as autonomous, while D can be classified as separable. None of the equations can be classified as linear or exact.

To classify the differential equations, we need to identify their characteristics and see if they fit into specific categories.

A. y' = xy + y: This equation is autonomous since it does not depend explicitly on the independent variable x. It is not separable.

B. 2xy' + (6x + 2y) = 0: This equation is autonomous since it does not depend explicitly on x. It is not separable.

C. (6x + 2y)y' + 2x = 0: This equation is autonomous since it does not depend explicitly on x. It is not separable.

D. y' = sin(y): This equation is separable since we can rewrite it as dy/sin(y) = dx.

E. Not provided.

F. y' = sin(x): This equation is autonomous since it does not depend explicitly on x. It is not separable.

G. y' = sin(x): This equation is autonomous since it does not depend explicitly on x. It is not separable.

H. y' = 0: This equation is autonomous since it does not depend explicitly on x. It is not separable.

I. y' = x.sin(y): This equation is autonomous since it does not depend explicitly on x. It is not separable.

None of the equations can be classified as linear or exact. Linear differential equations have the form a(x)y' + b(x)y = g(x), while exact differential equations satisfy the condition ∂M/∂y = ∂N/∂x.

Therefore, A, B, C, F, G, H, and I are autonomous, D is separable, and none of them are linear or exact.

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The distance between the two points (5,5) and(-1,-3) is 10 from the distance formula.

Given that,

The points area (5,5) and (-1,-3)

We have to find the distance between the two points.

We know that,

The distance between two points is the length of the line segment spanning those two points on the plane.

d=√((x₂ - x₁)² + (y₂ - y₁)²) is a common formula to calculate the distance between two points.

Any two points on an x-y plane or coordinate plane can have their separation between them determined using this equation.

We get,

(5,5) and (-1,-3)

Distance= \(\sqrt{(-1-5)^{2}+(-3-5)^{2} }\)

Distance= √(-6)²+((-8)²

Distance= √36+64

Distance= √100

Distance =10

Therefore, The distance between the two points (5,5) and(-1,-3) is 10 from the distance formula.

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9514 1404 393

Answer:

  a) profit has a typical curve: negative at low volume, and again at very high volume.

  b) $239,407

Step-by-step explanation:

a) The graph is negative below x=1.58, so the break-even point is 158 toys sold. The profit declines steeply above 533 toys sold, to again go negative for 774 toys sold. This sort of curve seems fairly typical.

__

b) The profit is a maximum of $239,407 when 533 toys are sold.

Answer:

6/25

Step-by-step explanation:

24% is just 24/100, then simplify.

Answer:

6/25

Step-by-step explanation:

The arc length of the polar curve r = e^5θ from 0 to 2π is √26 [(e^10π - 1) / 5].

To find the arc length of a polar curve, we use the formula:

L = ∫[a,b] √(r(θ)² + [dr(θ)/dθ]²) dθ

where r(θ) is the polar equation of the curve, and dr(θ)/dθ is its derivative with respect to θ.

In this case, we have r(θ) = e^5θ, so:

dr(θ)/dθ = 5e^5θ

Plugging these into the arc length formula, we get:

L = ∫[0,2π] √(e^10θ + (5e^5θ)²) dθ

Simplifying the integrand, we have:

L = ∫[0,2π] √(e^10θ + 25e^10θ) dθ

L = ∫[0,2π] √(26e^10θ) dθ

L = √26 ∫[0,2π] e^5θ dθ

Using the formula for the integral of e^x, we get:

L = √26 [e^5θ / 5] |_0^(2π)

L = √26 [(e^10π - 1) / 5]

So the arc length of the polar curve r = e^5θ from 0 to 2π is √26 [(e^10π - 1) / 5].

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Answer:

26

Step-by-step explanation:

2 plus 24 is 26

Answer:

i) 15x+10

ii) 15x+6

iii) 15x+15

iv) 15x+75

v)15x^2+x

Step-by-step explanation:

you have to substitute the number outside the brackets to all the variables inside by multiplying.

(^) means power.

Answer:

Step-by-step explanation:

Answer 3700