a square mile can be thought of as a square that is 1 mile long on each side, or 5,280 feet on each side. united states dollar bills are 6.14 inches long. how many dollar bills laid end to end would it take to enclose a square mile?

The equation P(t) = A - Bexp(-ct) can be used to model a worker's productivity after t hours on the job, where A, B, and c are positive constants.

We can then define the change in productivity over a brief period of time dt as

where P(t) is the productivity at time t. We can assume that dP(t) is negative because productivity is assumed to decrease over time.

As a result, the equation can be written as dP(t)/dt = -cP(t), or it can be rewritten as P(t) = Aexp(-ct), where A is a constant. P(t) = A - Bexp(-ct) can be obtained by adding a constant B to the right side of the equation to account for the fact that productivity can never be negative.

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Answer:

Below

Step-by-step explanation:

y/40 = 5/8    multiply both sides of the equation by 40

y = 40 * 5/8 = 200/8 = 25

Answer:

D

Step-by-step explanation:

i think this is the same example?

The total size downloaded for both versions was 3840 MB.

Number is a mathematical object used to count level and measure it is the fundamental concept in mathematics and used in many different way number can be used to represent anything from quantities of object to ideas and concept additionally number are used to describe relationship between different object or concept number are also used to represent position in space as well as represent the time graph of table.

Since the size of the high-quality version was 4.5 MB, the total size downloaded for the high-quality version was 4.5 MB x 3 = 13.5 MB. Therefore, the total size downloaded for the standard version was 3840 MB - 13.5 MB = 3826.5 MB. Since the size of the standard version was 2.5 MB, the number of downloads for the standard version was 3826.5 MB / 2.5 MB = 1530.6. Rounding to the nearest whole number, the number of downloads for the standard version was 1531.

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The graduated cylinder is most precise in measuring volume.

Precision is the degree to which separate measurements agree with one another. The general rule is that you can estimate one additional digit past the measuring device's smallest division, 100-mL graduated cylinders are read to 1 decimal, and the smallest graduated cylinder will hold the entire volume.

Precision refers to the number of significant figures in a measurement. When measuring liquid volumes, it is critical to read the graduated scale from the lowest point on the curved surface of the liquid, known as the liquid meniscus.

This means that the balance provides the most accurate and detailed measurement of volume compared to the other two devices.

Hence, the graduated cylinder is most precise in measuring volume.

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so hmmm let's call the points A(-10 , 5) and B(8 , 2) and the point "C" partitions them, so

[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(-10,5)\qquad B(8,2)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:2} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{2}\implies \cfrac{A}{B} = \cfrac{1}{2}\implies 2A=1B\implies 2(-10,5)=1(8,2)[/tex]

[tex](\stackrel{x}{-20}~~,~~ \stackrel{y}{10})=(\stackrel{x}{8}~~,~~ \stackrel{y}{2}) \implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-20 +8}}{1+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{10 +2}}{1+2} \right)} \\\\\\ C=\left( \cfrac{ -12 }{ 3 }~~,~~\cfrac{ 12}{ 3 } \right)\implies C=(-4~~,~~4)[/tex]

The location of earths center relative to a great circle defined by a pair of widely spaced flagpoles on earths surface is:

directly beneath the great circle defined by the two flagpoles.

The great circle defined by two flagpoles on the Earth's surface is a line that bisects the sphere of the Earth into two equal parts. This line passes directly through the center of the Earth, so the center of the Earth is located directly beneath the great circle.

The Earth is a three-dimensional object, so if two points on its surface are connected with a line, that line must pass directly through the center of the Earth.

This line is called a great circle because it is the largest possible circle that can be drawn on the surface of the Earth. The great circle formed by two widely spaced flagpoles on the Earth's surface serves as a reference point for determining the exact location of the Earth's center relative to the surface.

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The domain and range of the relation is

Domain = {1, 2, 3, 4, 5}

Range = {3, 5, 7, 9}

Option D is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

{(1, 3), (2, 5), (3, 7), (4, 9), (5,9)}

It is in ordered paired as (x, y).

x-coordinate is the domain and the y-coordinate is the range.

So,

Domain = {1, 2, 3, 4, 5}

Range = {3, 5, 7, 9}

Thus,

Domain = {1, 2, 3, 4, 5}

Range = {3, 5, 7, 9}

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All the correct fractions are,

⇒ 2 yd / 8 ft = 3 / 4

⇒ 24 in / 3 ft = 2 / 3

⇒ 4 ft / 4 yd = 1 / 3

⇒ 32 in / 2 ft = 4 / 3

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

We have to given that;

All the fractions are,

⇒ 2 yd / 8 ft

⇒ 24 in / 3 ft

⇒ 4 ft / 4 yd

⇒ 32 in / 2 ft

Now, We know that;

⇒ 1 yard = 3 feet

⇒ 1 feet = 12 inches

So, By the fractions we get;

⇒ 2 yd / 8 ft

⇒ 6 ft / 8 ft

⇒ 6 / 8

⇒ 3 / 4

⇒ 24 in / 3 ft

⇒ 24 in / 36 in

⇒ 12 / 18

⇒ 2 / 3

⇒ 4 ft / 4 yd

⇒ 4 ft / 12 ft

⇒ 1 / 3

⇒ 32 in / 2 ft

⇒ 32 in / 24 in

⇒ 4 / 3

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The value of x is 12.

When two or more parallel lines are intersected by a straight line, then the line is said to be a transversal. These produces a series of angles which have some common properties.

In the given question, the lines l, m and n were cut by two transversals. Thus we can compare the corresponding parts of line segments.

We have;

x/ 35 = 14/ 41

cross multiply to have;

41x = 35*14

     = 490

x = 490/ 41

  = 11.9512

Thus, the value of x is 12.

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Answer:

32

2×2×2×2×2 = 32

2^5 = 32

Answer:

2.14x10^12=  Two and fourteen hundredths times ten to the second power

                  OR

14x10^2   = Fourteen times ten to the second power

Is that a 2.14 or 14?

Answer:

4

Step-by-step explanation:

1/2x + 8 ≤10 / ×2

x + 16 ≤ 20

x ≤ 20 - 16

x ≤ 4

[tex]\dfrac{1}{2} x+8\leq 10[/tex]

Subtract 8 from both sides:

[tex]\dfrac{1}{2} x+8-8\leq 10-8[/tex]

[tex]\dfrac{1}{2} x\leq 2[/tex]

Multiply both sides by 2:

[tex]2\times(\dfrac{1}{2} x)\leq 2\times(2)[/tex]

[tex]\boxed{x\leq 4}[/tex]

The equivalent expressions are:

a) 4*(x + 2) = 4x + 8

b) 4*(2x + 3) = 8x + 12

c) (6 + 8)*x = 14*x

d) 6*(x + y + z) = 6x + 6y + 6z

This is a property of the multiplication, and it says that we can distribute products in the following way:

A*(B + C) = A*B + A*C

So let's do that.

a) 4*(x + 2) = 4*x + 4*2 = 4x + 8

b) 4*(2x + 3) = 4*(2x) + 4*3

                    = 8x + 12

c) (6 + 8)*x = 6*x + 8*x = 14*x

d) 6*(x + y + z) = 6x + 6y + 6z

These are the equivalent expressions.

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Answer:

229 Feet I think it is right just make sure

Step-by-step explanation:

x+125/255=x/165

cross multiply

255x=165x+20,625

90x=20,625

229=x

The expression can be written as 5¹/₂₅.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the number is 5 and 1 over 25. The mixed fraction can be written as:-

E = 5 and 1 over 25

E = 5¹/₂₅.

Therefore, the expression can be written as 5¹/₂₅.

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Answer:

Step-by-step explanation:

(2.75m / min) x 60

= 0.04359 gallons / hour

(sorry if im wrong xd)

Answer: 3.73

Step-by-step explanation: Search math w ay on the internet

The cost of the car leasing for 1 month is $31.25.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Cost of the car leasing for 24 months = $750

Cost of the car leasing for 1 month.

= 750 ÷ 24

= $31.25

Thus,

The monthly cost of car leasing is $31.25.

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The complete question:

Keely is looking at leasing a car for 24 months in order to lease the car she needs to give the dealership $750.

Find the monthly charge for leasing the car.

The graph of the function is added as an attachment

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

y = √x +3-6

Make y the subject

y =√(x + 3) - 6

The above equation is a square root function

The parent of a square root function is represented as

y = √x

This means that the parent function was translated to get the given function

Next, we plot the graph of the equation

See attachment for the graph

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The percentage of the race he finished first is 40%

A number or ratio that can be expressed as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Glenn raced his motorcycle 30 times and he finished first 12 times.

So, 12/30 = 2/5 = x/40

by using cross multiplication we get,

⇒ 5 * x = 2 * 100

⇒ 5 * x = 200

divided both side by 5 we get,

⇒ 5 * x / 5 = 200 / 5

⇒ x = 40

So that the percentage of the race he finished first is 40%

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Answer:

354.294 cu ft

Step-by-step explanation:

4*3*1.5 = 18 cube yard *27³ = 354.294 cu ft

you have to multiply 27 three times because every side of the shed 4, 3, 1.5 yards  equals to 4*27 ft, 3*27 ft, 1.5*27 ft

Acute is less than 90° degrees, obtuse is more than 90° degrees, and a right angle equals 90° degrees.

K = RIGHT, M = ACUTE J =OBTUSE and L = ACUTE

Assuming a binomial distribution for the number of auto accidents. If 7 in 10 auto accidents involve a single vehicle, the probability, p =[tex]\frac{7}{10}[/tex] = 0.7

Then the probability that the accident involved multiple vehicles is

q = 1 - p = 1 - 7/10 = 3/10 = 0.3

Since 14 accidents are randomly selected, n = 14

The formula for binomial distribution is expressed as

P(x = r) = nCr × q*(n - r) × p*r

a) we want to determine P(x = 4) =

P(x = 4) = 14C4 × [tex]0.3^{10}[/tex] × 0.7^4

P(x = 4) = 0.00142

b) we want to find P(x lesser than or equal to 4) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P( x = 4)

P(x = 0) = 14C0 × [tex]0.3^{14}[/tex] × 0.7^0 = 0.00000004783

P(x = 1) = 14C1 × [tex]0.3^{13}[/tex] × 0.7^1 = 0.00011

P(x = 2) = 14C2 × [tex]0.3^{12}[/tex] × 0.7^2 = 0.00002

P(x = 3) = 14C3 ×[tex]0.3^{11}[/tex]  × 0.7^3 = 0.00022

P(x = 4) = 0.00142

P(x lesser than or equal to 4) = 0.00000004783 + 0.00011 + 0.00002 + 0.00022 + 0.00142 = 0.00177

c) p = 0.7, q = 0.3

P(x = 5)= 14C5 × 0.7^(14 - 5) × 0.3^5 = 0.19631

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Answer:

5.625

Step-by-step explanation:

4.5/0.8 = 5.625

To find ΔHrxn for Zn(s) + HCl(aq) heat, we use q = cmΔT and track down q = - 582.4 J, it is exothermic to show the response. ΔHrxn is equivalent to - 582.4 J, meaning the response discharges heat.

We can involve the condition for the adjustment of intensity energy, q = cmΔT, to ascertain ΔHrxn for this response.

q = heat energy change = cmΔT

where c = explicit intensity limit of the arrangement = 4.18 J/g⋅∘C

m = mass of the arrangement = thickness of the arrangement x volume = 1.0 g/mL x 50.0 mL = 50.0 g

ΔT = change in temperature = 24.3 ∘C - 21.5 ∘C = 2.8 ∘C

In this way, q = (4.18 J/g⋅∘C)(50.0 g)(2.8 ∘C) = 582.4 J

Since the response is exothermic (the arrangement discharges heat), the ΔHrxn will be negative, meaning the response discharges heat.

ΔHrxn = - q = - 582.4 J

Subsequently, the ΔHrxn of Zn(s) with HCl(aq) is - 582.4 J.

To find ΔHrxn, the intensity energy change, for the response of Zn(s) with HCl(aq), we utilize the condition q = cmΔT. The particular intensity limit of the arrangement is 4.18 J/g⋅∘C, the mass of the arrangement is 50.0 g, and the adjustment of temperature is 2.8 ∘C. In this way, q = - 582.4 J, meaning the response discharges heat, and ΔHrxn = - 582.4 J. This computation shows that the response of Zn(s) and HCl(aq) discharges heat, making it exothermic.

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The complete question is:

Zinc metal reacts with hydrochloric acid according to the following balanced equation.

Zn(s)+2HCl(aq)→ZnCl2(aq)+H2(g)

When 0.105 g of Zn(s) is combined with enough HCl to make 50.0 mL of solution in a coffee-cup calorimeter, all of the zinc reacts, raising the temperature of the solution from 21.5 ∘C to 24.3 ∘C.

Find ΔHrxn for this reaction as written. (Use 1.0 g/mL for the density of the solution and 4.18 J/g⋅∘C as the specific heat capacity.)

There are 756,756 ways to select the senatorial committee from the given pool of candidates.

The number of ways to select a committee of 5 Republicans and 5 Democrats from a pool of 15 Republicans and 10 Democrats can be calculated as the number of combinations of 10 items taken 5 at a time (number of ways to select 5 Democrats) multiplied by the number of combinations of 15 items taken 5 at a time (number of ways to select 5 Republicans).

The number of combinations of 10 items taken 5 at a time is given by:

10 choose 5 = 10! / (5! * (10 - 5)!) = 252

The number of combinations of 15 items taken 5 at a time is given by:

15 choose 5 = 15! / (5! * (15 - 5)!) = 3003

Multiplying these two combinations, we get the total number of ways to select a committee of 5 Republicans and 5 Democrats from a pool of 15 Republicans and 10 Democrats:

252 * 3003 = 756756

Therefore, there are 756,756 ways to select the senatorial committee from the given pool of candidates.

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the Probability of 0.04 and would warrant a refund.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given, A tire company measures the tread on newly-produced tires and finds that they are normally distributed with a mean depth of 0.84mm and a standard deviation of 0.35mm.

probability = P(X<0.24)

= (Z<(0.24-0.84)/0.35)

= P(Z<(-1.7143)

= 0.0432 ~ 0.04

since the above probability is less than 0.05 ;

this event can be termed unusual

therefore, the Probability of 0.04 and would warrant a refund.

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The book value of the building in 2014 was $3.96 million. The book value of the building in 2028 will be $2.28 million.

a) The book value of the building in 2014 can be calculated as follows:

Book Value = Original Cost - (Depreciation Rate * Years Depreciated)

Depreciation Rate = Original Cost / Number of Years

Depreciation Rate = 6 million / 50 years = $120,000 per year

Years Depreciated = 2014 - 1997 = 17 years

Book Value = 6 million - (120,000 * 17) = 6 million - 2.04 million = $3.96 million

So, the book value of the building in 2014 was $3.96 million.

b) The book value of the building in 2028 can be calculated in a similar manner:

Years Depreciated = 2028 - 1997 = 31 years

Book Value = 6 million - (120,000 * 31) = 6 million - 3.72 million = $2.28 million.

So, the book value of the building in 2028 will be $2.28 million.

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This function satisfies the conditions given: it is an nth-degree polynomial with real coefficients, it has zeros at -1, 4, and 4 + 4i, and it has the value of -150 at x = 1.

A polynomial is a mathematical expression that is composed of variables and coefficients, which are combined using only addition, subtraction, and multiplication. The variables in a polynomial can be raised to whole number powers, and the highest degree of a polynomial (i.e., the highest power to which a variable is raised) is known as the degree of the polynomial. For example, the polynomial 3x^2 + 2x + 1 has a degree of 2. The terms in a polynomial are usually arranged in descending order of degree, so that the first term has the highest degree and the last term has a degree of zero. The sum or difference of two or more polynomials is also a polynomial.

To find an nth-degree polynomial function with real coefficients that satisfies the given conditions, we can use the following process:

1. Write the polynomial in factored form using the zeros:

p(x) = a(x-1)(x-4)(x-(4+4i))(x-(4-4i))

2. Use the value of f(1) to find the leading coefficient a:

f(1) = p(1) = a(0)(0)(0)(0) = -150

a = -150

3. Write the polynomial in expanded form:

p(x) = -150(x-1)(x-4)(x-(4+4i))(x-(4-4i))

The resulting polynomial function is:

p(x) = -150(x-1)(x-4)(x-(4+4i))(x-(4-4i))

This function satisfies the conditions given: it is an nth-degree polynomial with real coefficients, it has zeros at -1, 4, and 4 + 4i, and it has the value of -150 at x = 1.

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