what is the side length ,s, of the square

Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store.

Michael is trying to determine where to open two new store locations. He has population data to determine the amount of revenue he will receive for each location.

He is charged a $1000 fee for opening a new store at a certain location. However, he is unsure whether the population of the city would be large enough to warrant opening a new store at that location.

The first step that Michael needs to take is to analyze the population data that he has.

Based on the population data, he needs to make an informed decision about whether or not to open a new store at that location. This would require him to take into consideration the average income of the population as well as the demographics of the city.

Another important factor that Michael needs to take into consideration is the competition in the area. If there are already several stores in the area, then opening a new store might not be a good idea.

This is because the competition would be too high and he would not be able to generate enough revenue to make up for the cost of opening a new store.

However, if there are no stores in the area, then Michael might consider opening a new store. This would require him to invest a significant amount of money, but he could also generate a significant amount of revenue in return.

Additionally, he needs to take into consideration the cost of opening a new store and whether or not he can generate enough revenue to make up for that cost.

Overall, Michael needs to carefully analyze all the data that he has before making an informed decision about where to open new store locations.

In conclusion, Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store. If the population is large enough and there is no competition in the area, then he should consider opening a new store. However, if there is already a significant amount of competition in the area, then he should avoid opening a new store.

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Answer:12/9

Step-by-step explanation:

subtract 9 from 21 and 21 will give you 12 silver coins which will be 12 silver coins to 9 gold coins

Equation of a line:

9x - 7y = -63

To find the x-intercept we have to substitute y = 0 into the equation, as follows:

9x - 7*0 = -63

9x = -63

Dividing by 9 at both sides of the equation:

9x/9 = -63/9

x = -7

To find the y-intercept we have to substitute x = 0 into the equation, as follows:

9*0 - 7y = -63

-7y = -63

Dividing by -7 at both sides of the equation:

-7y/(-7) = -63/(-7)

y = 9

Answer

x-intercept: −7; y-intercept: 9

The dU/dT at constant P and V is simply nR/P.

According to the ideal gas law, PV = nRT, so we can write P = nRT/V. Using this relationship, we can express the internal energy U as a function of P, V, and T:

U = f(P,V,T) = f(nRT/V, V, T)

To find dU/dP at constant V and T, we can use the chain rule:

dU/dP = (∂U/∂P)V,T + (∂U/∂V)P,T(dP/dP)V,T + (∂U/∂T)P,V(dT/dP)V,T

Since V and T are being held constant, we can simplify the second and third terms to just 0:

dU/dP = (∂U/∂P)V,T

To find (∂U/∂P)V,T, we can differentiate f(nRT/V, V, T) with respect to P, keeping V and T constant:

(∂U/∂P)V,T = (∂f/∂P)nRT/V(-nRT/V²) = -nRT/V²

So, dU/dP at constant V and T is simply -nRT/V².

To find dU/dT at constant P and V, we can again use the chain rule:

dU/dT = (∂U/∂T)P,V + (∂U/∂V)P,T(dV/dT)P,V + (∂U/∂P)V,T(dP/dT)P,V

Since P and V are being held constant, we can simplify the third term to just 0:

dU/dT = (∂U/∂T)P,V + (∂U/∂V)P,T(dV/dT)P,V

To find (∂U/∂T)P,V, we can differentiate f(nRT/V, V, T) with respect to T, keeping P and V constant:

(∂U/∂T)P,V = (∂f/∂T)nRT/V(1) = nR/V

To find (∂U/∂V)P,T, we can differentiate f(nRT/V, V, T) with respect to V, keeping P and T constant:

(∂U/∂V)P,T = (∂f/∂V)nRT/V(-nRT/V²) + (∂f/∂V)V,T = nRT/V² - nRT/V² = 0

Since the ideal gas law shows that PV = nRT, we can write V = nRT/P. Using this relationship, we can simplify the second term of dU/dT to just:

dU/dT = (∂U/∂T)P,V = nR/P

So, dU/dT at constant P and V is simply nR/P.

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a. To find dU/dPv, we need to differentiate U with respect to both P and V while treating T as a constant. Using the chain rule, we have:

dU/dPv = (∂U/∂P)v + (∂U/∂V)p * (dV/dP)v

Since U is a function of P, V, and T, we can express it as U(P,V,T). Using the ideal gas law, we substitute P = nRT/V into U:

U = f(P,V,T) = f(nRT/V, V, T)

Differentiating U with respect to P while treating V and T as constants, we get (∂U/∂P)v = -nRT/V².

Similarly, differentiating U with respect to V while treating P and T as constants, we get (∂U/∂V)p = nRT/V.

Hence, dU/dPv = -nRT/V² + nRT/V * (dV/dP)v.

b. To find dU/dTv, we differentiate U with respect to both T and V while treating P as a constant. Using the chain rule:

dU/dTv = (∂U/∂T)v + (∂U/∂V)t * (dV/dT)v

Differentiating U with respect to T while treating V and P as constants, we get (∂U/∂T)v = (∂f/∂T)v.

Similarly, differentiating U with respect to V while treating T and P as constants, we get (∂U/∂V)t = (∂f/∂V)t.

Hence, dU/dTv = (∂f/∂T)v + (∂f/∂V)t * (dV/dT)v.

Note: The specific form of the function f(P,V,T) is not provided, so we cannot determine the exact values of (∂f/∂T)v, (∂f/∂V)t, and (dV/dT)v without additional information.

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There are 16 different truth tables of compound propositions are there that involve the propositional variables p and q

What do you mean by compound proposition?

A truth table for compound propositions reveals the conditions under which the compound assertion is true. This uses more than one of the logical operators "and," "or," "negation," etc., but otherwise is identical to basic truth tables for these logical operators.

The variety of truth tables indicates the range of p and q-based functions that are possible.

Now that there are two propositions for which we are creating truth tables, p and q, any truth table will have four rows.

Each of these four rows can have a value of 0 or 1, hence there are a total of \(2^{4}\)=16 possible ways in which these four rows can be given values.

Therefore, there are 16 different truth tables of compound propositions are there that involve the propositional variables p and q

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The parts of circle are given below.

What is a circle?

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident. A circle is also termed as the locus of the points drawn at an equidistant from the center. The distance from the center of the circle to the outer line is its radius. Diameter is the line which divides the circle into two equal parts and is also equal to twice of the radius.

The equation of circle in the plane is given as:

(x-h)^2 + (y-k)^2 = r^2

where (x, y) are the coordinate points

(h, k) is the coordinate of the center of a circle

and r is the radius of a circle.

and Area of circle = πr²

Circumference of circle=2πr

Now,

Parts of circle:-The parts of a circle are the radius, diameter, circumference, arc, chord, secant, tangent, sector and segment

as shown in image.

Main parts are as described below:

Radius

The distance from the center of a circle to the outside.

Diameter

The distance across the circle going through the centre.

The diameter is twice the radius.

Circumference

The distance once around the circle.

Arc

A part of the circumference.

Major arc – A major arc is greater than half the circumference.

Minor arc – A minor arc is less than half the circumference.

Area

The space inside a 2D shape.

Chord

A line segment going from one point of the circumference to another but does not go through the center.

Secant

A line that goes through the circle at two points.

Tangent

A straight line that touches the circle at a single point only.

Sector

A section of the circle created by two radii.

Major sector – A major sector has a central angle which is more than

Minor sector – A minor sector has a central angle which is less than

Semi circle

Half of a circle. Could be considered a sector where the circle has be split by the diameter.

Quadrant

A quarter of a circle, created by two perpendicular radii.

Segment

A section of the circle created by a chord.

Major segment – a segment where the arc is greater than half the circumference.

Minor segment – a segment where the arc is less than half the circumference.

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On December 11, 2019, Fred gave a $20,000, 60-day, 9% note to Barnie in payment of an account. On December 31, 2019, Barnie should record $300 as the interest on December 31, 2019.

To calculate the interest on the note, we need to determine the interest for the 60-day period using a commercial year, which typically consists of 360 days.

The interest can be calculated using the formula:

Interest = Principal × Rate × Time

Principal = $20,000

Rate = 9% or 0.09

Time = 60 days / 360 days (commercial year)

Let's calculate the interest:

Time = 60 days / 360 days

        = 1/6

Interest = $20,000 × 0.09 × (1/6)

             = $20,000 × 0.09 × 1/6

             = $20,000 × 0.015

             = $300

Therefore, Barnie should record $300 as the interest on December 31, 2019.

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The calculated surface area of the cone is about 2831.71 square inches

From the question, we have the following parameters that can be used in our computation:

The surface area of a cone is calculated using the following formula

SA = πr² + πrl

Substitute the known values in the above equation, so, we have the following representation

SA = 22/7 * 17² +22/7 * 17 36

Evaluate the exponent

SA = 2831.71

Hence, the surface area of the cone is about 2831.71 square inches

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Complete question

what is the surface area of the cone? use 22/7 for pi if it has 9 inches radius and 36 inches slant height

Answer:

B

Step-by-step explanation:

Answer:

The expression you can use to find out how many boys is b + (b - 84) = 1824

There are 954 boys at Southside High School

There are 870 girls at Southside High School

Step-by-step explanation:

Assume that the number of boys in the Southside High School is b

∵ There are b boys in the Southside High School

∵ The number of girls is 84 fewer than boys

→ Subtract 84 from b to find the number of girls

∴ The number of girls in the Southside High School is (b - 84)

∵ Southside High School has a total of 1824 students

→ That means the sum of the numbers of the boys and the girls is 1824

∴ b + (b - 84) = 1824

∴ The expression you can use to find out how many boys is

   b + (b - 84) = 1824

→ Add the like terms in the left side

∴ (b + b) - 84 = 1824

∴ 2b - 84 = 1824

→ Add 84 to both sides

∵ 2b - 84 + 84 = 1824 + 84

∴ 2b = 1908

→ Divide both sides by 2 to find b

∵ \(\frac{2b}{2}=\frac{1908}{2}\)

∴ b = 954

∴ There are 954 boys at Southside High School

∵ The number of girls at Southside High School = b -84

→ Substitute b by 954

∴ The number of girls at Southside High School = 954 - 84

∴ The number of girls at Southside High School = 870

∴ There are 870 girls at Southside High School

Answer:Given that y represents the cost, and x represents the number of classes, to complete the statements, the table is given for Gymnastics while the equation, y = 18x + 20 is given for Ice-skating program.

Since the table already shows the cost for each specific number of classes for Gymnastics, find that of Ice-skating program for 1, 2, 3, and 4 classes.

For 1 class, substitute x = 1 into y = 18x + 20:

y = 18(1) + 20

y = $38

For 2 class, substitute x = 2 into y = 18x + 20:

y = 18(2) + 20

y = $56

For 3 class, substitute x = 3 into y = 18x + 20:

y = 18(3) + 20

y = $74

For 4 class, substitute x = 4 into the equation y = 18x + 20:

y = 18(4) + 20

y = $92

From the above, we can conclude that, Gymnastics is less expensive when the classes is 1.

Ice-skating is less expensive  when the classes is 3 or 4.

Step-by-step explanation:

From the given function, When the number of classes is 1 the football is less expensive.

When the number of classes is 1, the basketball is less expensive.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Four main categories can be used to classify different sorts of functions. dependent upon element Function is a one-to-one relationship, a many-to-one relationship, onto function, one-to-one and into function.

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Answer:

10yd x 14 yd x 3yd = 420yd ^3

Step-by-step explanation:

When calculating for the volume you multiply all three numbers. That’s why when you write your answer you cube it.

Answer:

944

Step-by-step explanation:

Answer:

(100+10+8)= 118

8(118) = 944

Answer:

d(1)= 9

d(n)= d(n-1)+ (-10)

Answer:

d(1) = 9

d(n) = d(n-1) + -10

Step-by-step explanation:

The bold numbers are the answer! ^w^

Use cylindrical coordinates.

\(\vec s(x,y,z) = \vec\sigma(r,\theta,z) = r\cos(\theta)\,\vec\imath + r\sin(\theta)\,\vec\jmath + r^2\cos(\theta)\sin(\theta)\,\vec k\)

where \(0\le r\le3\) and \(0\le\theta\le2\pi\).

The correct option is: (i) and (iii) are correct statements but not (ii).

The correct answer is:

(i) The uniform probability distribution's shape is a rectangle.

(ii) The uniform probability distribution is symmetric about the mode.

(iii) In a uniform probability distribution, P(x) is constant between the distribution's minimum and maximum values.

Therefore, the correct option is: (i) and (iii) are correct statements but not (ii).

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Answer:

2, 4, 6 are expressions

Step-by-step explanation:

A math sentence has a verb: "is equal to"  It could also be some other, similar phrase, such as "is less than" or "is not equal to," for example.

An expression has no verb!

x - 6  Say it out loud. See?  No verb.  It's like saying "that evil neighbor of mine" without saying anything more. Yes? Did what? Is what? Compares to what?

Answer:

120 degrees

Step-by-step explanation:

It has to equal to 360, and so since angle B is 60 degrees, and it's the smaller angle, A and C have to be 120 degrees, and D has to be 60 degrees. Hope this helps.

Answer:

B

Step-by-step explanation:

x=4 so

2x4=8

8+5=13

Carlos's sister is 4 years old, therefore it is B.

Answer:

B

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

it can be found in two ways

f(n)-f(n-1) is common difference of the sequence.

knowing f(n) = f(n-1) + 5

f(n)-f(n-1)=5

so 5 is difference of the sequence.

other method is

f(1)=4

f(2)=?

f(n)=f(n-1)+5 n=2

f(2)=f(2-1)+5

f(2)=f(1)+5

f(2)=4+5=9

f(2)-f(1)=9-4=5

so 5 is difference of the sequence.

Answer:

The amount of money originally invested which is the principal P = 5,000

Step-by-step explanation:

Using the compound interest formula, the return on investment can be represented on the interest function as;

f(x) = P(1+r)^x

Where

P is the principal which is the initial investment.

r = rate Proportion

x = time (number of years)

Comparing to the given function;

f(x) = 5,000(1 + 0.04)^x

We can see that;

Principal P = 5,000

Rate r = 0.04

time = x

The amount of money originally invested which is the principal P = 5,000

Answer:

Angle 1 = 70, Angle 2 = 90, Angle 3 = 70, Angle 4 = 70

Step-by-step explanation:

1. 90 -20 = 70

2. Diagonals are perpendicular and create right angles that equal 90

3 and 4. Diagonals bisect angles, angles on opposite sides are congruent

Answer:

20

Step-by-step explanation:

3 × 5 is 15

4 × 5 is 20

So...should be 20.

Answer:

Hi Bunni  ,  :D

Step-by-step explanation:

a =2

b= -8

c = 9

axis of symmetry  is

-(-8) / 2(2)

8 / 4

2

vertex = ( 2, 1)  

:)

Answer:

The question is incomplete. You can’t reduce 84 unless yo7 want it as a power of numbers. Most likely the question is a fraction or eqaaution

Step-by-step explanation:

The pond will be filled at 01:30 PM.

If Brittany started filling the pond at 9:30 A.M. and it takes him 1 hour to fill 1,600 gallons, then to fill 3,200 gallons, it will take him 3,200 / 1,600 = 2 hours.

The capacity of pond= 3600 gallon.

The Burt is started at 9:30 AM  and filled 1600 gallons till 11:30 AM.

So, in 2 hours the Burt had filled 1600 gallons.

So, rate of filling = 1600/2=800 gallon/hour

The remaining volume of the pond = 3200-1600 = 1600 gallons

Time to fill the remaining volume = 1600/800=2 hour.

So, it will take 2 hours after 11:30 AM to fill the pond completely.

Hence, the pond will be filled at 01:30 PM.

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Answer:

85°

Step-by-step explanation:

x + 32° + 63° = 180° { Being sum of angles of triangle }

x + 95° = 180°

x = 180° - 95°

x = 85°

Hope it will help :)❤

The interval of convergence for the power series (z - 10)ⁿ is (-∞, ∞). The series converges for all values of a.

To determine the interval of convergence for the power series (z - 10)ⁿ, we can use the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1, then the series converges.

Taking the absolute value of the terms in the power series, we have |z - 10|ⁿ. Applying the ratio test, we consider the limit as n approaches infinity of |(z - 10)ⁿ⁺¹ / (z - 10)ⁿ|.

Simplifying the expression, we get |z - 10|. The limit of |z - 10| as z approaches any real number is always 0. Therefore, the ratio test is always satisfied, and the series converges for all values of a.

In interval notation, therefore the interval of convergence is (-∞, ∞), indicating that the series converges for any real value of a.

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