A hot-air balloon has a 14
-foot diameter that is being deflated at a rate of 0.25
feet per minute.

How many minutes, x
, will it take before the balloon has shrunk to a diameter of 8
feet?

A Hot-air Balloon Has A 14-foot Diameter That Is Being Deflated At A Rate Of 0.25 Feet Per Minute.How

Answers

Answer 1

Answer:

Step-by-step explanation:

The rate of deflation of the hot-air balloon is 0.25 feet per minute. Let's represent the diameter of the balloon at any time t in minutes as D(t).

We know that D(0) = 14 feet (initial diameter) and we want to find x when D(x) = 8 feet.

Using the fact that the rate of change of D with respect to time is -0.25 (negative because the diameter is decreasing), we can set up a differential equation:

dD/dt = -0.25

Separating variables and integrating, we get:

∫(1/D) dD = ∫(-0.25) dt

ln|D| = -0.25t + C

where C is the constant of integration.

Using the initial condition D(0) = 14, we get:

ln|14| = C

C = ln(14)

Substituting this value of C into the equation, we get:

ln|D| = -0.25t + ln(14)

Taking the exponential of both sides, we get:

|D| = e^(-0.25t + ln(14)) = e^ln(14) e^(-0.25t) = 14 e^(-0.25t)

Since we are only interested in the positive value of D, we can drop the absolute value sign:

D = 14 e^(-0.25t)

Now we can solve for x by setting D = 8:

8 = 14 e^(-0.25x)

Dividing both sides by 14, we get:

e^(-0.25x) = 8/14 = 4/7

Taking the natural logarithm of both sides, we get:

ln(e^(-0.25x)) = ln(4/7)

-0.25x = ln(4/7)

x = -4 ln(4/7) / 0.25

x ≈ 6.21

Therefore, it will take about 6.21 minutes for the balloon to shrink to a diameter of 8 feet.


Related Questions

x^2+y^2=100 is it a function?

Answers

The equation x^2+y^2=100 is not a function

How to determine if it is a function

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

x^2 + y^2 = 100

The above equation is a circle equation

As a general rule, we have

Circle equations are not functions and they do not represent a function on a graph

Hence, x^2+y^2=100 is not a function

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The table below represents a linear function for the cost of a gym membership based on the number of months of membership.

What is the slope and y-intercept of the linear function.

Answers

The equation of line is y = 30x + 75 , where the slope is m = 30 and the y intercept is 75

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 1 , 105 )

Let the second point be Q ( 3 , 165 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 165 - 105 ) / ( 3 - 1 )

Slope m = ( 60 / 2 )

Slope m = 30

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 105 = 30 ( x - 1 )

On simplifying the equation , we get

y - 105 = 30x - 30

Adding 105 on both sides of the equation , we get

y = 30x + 75

Hence , the equation of line is y = 30x + 75

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Two important ingredients for baking bread are
yeast and flour. To make a loaf of bread of at
most
30 servings, maintain a yeast to
flour ratio of 1:200. If you're making a loaf of more than 30
servings, use a ratio of 1:180.
If you're making 30 servings
of bread and using 0.25 oz of yeast, how many ounces of flour do you
need?
If you're making 60 servings of bread and using 540 oz of flour, how many ounces of yeast do you
need?
NOTE: Enter only numerals for each of your answers.

Answers

If you're making 60 servings of bread and using 540 oz of flour, then the number of ounces of yeast you need is 3 oz.

What are proportions?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Given that, to make a loaf of bread of at most 30 servings, maintain a yeast to flour ratio of 1:200. If you're making a loaf of more than 30 servings, use a ratio of 1:180.

If you're making 30 servings of bread and using 0.25 oz of yeast, then

0.25/Flour = 1/200

Flour = 50 oz

If you're making 60 servings of bread and using 540 oz of flour, then

Yeast/540 = 1/180

Yeast = 3 oz

Therefore, if you're making 30 servings of bread and using 0.25 oz of yeast, then the number of ounces of flour you need is 50 oz.

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Mateo currently has $100 in his bank account and plans on saving $20 per week in order to save for soccer camp over the summer. Write an equation to represent the amount of money saved, S, with respect to the number of weeks that have passed, w.

S = _ w + _

Answers

The equation that represents the amount of money saved is S = $100 + $20w

What is the equation that represents the amount of money saved?

The equation that represents the amount of money saved is a linear equation . A linear equation is an equation that has a single variable raised to the power of 1.

The form of the linear equation is:

Total money saved = amount in the bank + (amount that would be saved each week x number of weeks)

S = $100 + ($20 x w)

S = $100 + $20w

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Find the number of sides (n) of the polygons with the angle values shown in the items below.
a) The sum of the interior angles is 10,440∘
b) The value of each interior angle is 171∘

Answers

As per the concept of polygon,

a) The sum of the interior angles is 10,440° then the number of sides is 58

b) The value of each interior angle is 171°, then the number of sides is 36

A polygon is a two-dimensional geometric shape made up of straight lines and angles. The number of sides a polygon has is directly related to the sum of its interior angles.

a), we can use the formula for the sum of the interior angles of a polygon, which is (n-2) times 180 degrees, where n is the number of sides. To find n, we can rearrange the formula to

=> n = (sum of interior angles / 180) + 2.

Plugging in the value of 10,440 degrees for the sum of interior angles, we get

=> n = (10440 / 180) + 2 = 58.

Therefore, the polygon in item a) has 58 sides.

For item b), we can use the formula for the value of each interior angle of a regular polygon, we get

=> n = (180(n-2)) / 171 = (180n - 360) / 171.

Solving for n, we find that the polygon in item b) has 36 sides.

In conclusion, polygons with the angle values shown in items a) and b) have 58 and 36 sides respectively. These formulas can be applied to any polygon to find the number of sides based on its interior angle values.

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can someone explain the questions attached? thanks

Answers

The probability of landing on the head side of coin and rolling a 3 on the die is found as 1/12.

Explain about the term sample space?A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of feasible experiment results. Depending on the experiment, a sample area could contain a variety of results.

Sample space for tossing a coin: (H,T)

P(head) = 1/2

Sample space for tossing a dice : (1, 2, 3, 4, 5, 6)

P(3) = 1/6

So,

Probability of head with 3 on the die = 1/ 2* 1/6 = 1/ 12

Thus, the probability of landing on the head side of the coin and rolling a 3 on the die is found as 1/12.

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The correct question is-

A coin is tossed and a single 6-sided die is rolled. Find the probability of landing on the head side of the coin and rolling a 3 on the die.

Enter your answer as a fraction in the form a/b (for example 2/3, 5/7) or as an integer.

The picture has a side of 7 inches.
What is the area of the picture?

Answers

Answer:

Step-by-step explanation:

So here is what I did. If the picture is square then you would multiply Length times the Width to get 49 square inches. But if it’s not a square then you would still multiply Length by Width.

What is the average increase in pennies for Daisy's piggy bank over the first 2 days (starting with day 0)?

Answers

The average increase in first 2 days is 1.5 pennies/day.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given is a tabular data about Daisy's piggy bank.

The average increase in first 2 days -

{a} = (7 - 4)/(2 - 0)

{a} = 3/2

{a} = 1.5

Therefore, the average increase in first 2 days is 1.5 pennies/day.

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Solve for x . circles tangent 1 A. 12 B. 10 C. 42 D. 9

Answers

8 is the measure if the angle x in the given diagram.

Circle geometry

The point where two lines meet is known as an angle. The given diagram is a circle geometry.

Using the theorem, angle at the arc is twice the angle at the vertex, we will have:

80 = 2(4x + 8)

80/2 = 8x + 8

40 = 4x + 8

4x = 40 - 8

4x = 32

x = 32/4

x = 8

Hence the value of x from the diagram given is 8

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Patrick ran from his home to a shop 400m away at an average speed of 2 m per second he walked back to his home at an average speed of 1 m per second find the average speed for the whole journey if he did not stop at the shop​

Answers

The average speed that Patrick used to run from his home to a shop and walk back to his home is 1.33 m per second.

What is the average speed?

The average speed is the total distance divided by the total time.

The average or mean is the quotient of the total value and the total time or number of items in a data set.

The distance from Patrick's home to a shop = 400 m

Running speed from home to the shop = 2 m per second

The total time used in running to the shop = 200 seconds (400/2)

The distance from the shop to Patrick's home = 400 m

Walking speed from shop to the home = 1 m per second

The total time used in walking back to the home = 400 seconds (400/1)

The total distance to and from shop = 800 m (400 x 2)

The total time used to run to and walk from the shop = 600 seconds (200 + 400)

The average speed for the whole journey = Total Distance/Total Time

= 800/600 = 1.33 m per second

Thus, for covering a total distance of 800 m in 600 seconds, Patrick's average speed was 1.33 m per second.

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f(x)=x² +16x-24 and
g(x)=x²-5x-17, find (ƒ + g)(x).

Answers

If functions f(x)=x² +16x-24 and g(x)=x²-5x-17 then (f+g)(x) is 2x² +11x-41.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The given functions are f(x)=x² +16x-24 and g(x)=x²-5x-17.

We need to find  (ƒ + g)(x).

From properties we have (ƒ + g)(x)=f(x)+g(x)

(ƒ + g)(x)=x² +16x-24+x²-5x-17.

Add the like terms

(f+g)(x)=2x² +11x-41

Hence, if functions f(x)=x² +16x-24 and g(x)=x²-5x-17 then (f+g)(x) is 2x² +11x-41.

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If you take - 3/10 of a number and add 1, you get 10. Write an equation to represent the situation. What is the original number

Answers

Answer: -30

Let's call the original number "x". Then, we can write the equation as follows:

-3/10 x + 1 = 10

To find the original number, we can isolate x by subtracting 1 from both sides and then multiplying both sides by 10/3:

-3/10 x = 9

x = (9 * 10)/(-3)

x = -30

So, the original number is -30.

A cylinder-shaped scoop has a base radius of 2 centimeters and a height of 5 centimeters. The scoop has a mass of 14.9 grams when empty. The scoop is completely filled with water. One cubic centimeter of water has a mass of one gram. What is the mass of the scoop of water in grams, including the mass of the scoop? Describe how you found your answer. Round to the nearest tenth.

Answers

Answer:

  77.7 g

Step-by-step explanation:

You want the mass of a cylindrical scoop of radius 2 cm and height 5 cm when it is filled with water at 1 g/cm³, and has an empty mass of 14.9 g.

Water

The mass of the water will be the product of its volume and its density. The volume is that of a cylinder with radius 2 cm and height 5 cm. That volume is given by the formula ...

  V = πr²h = π(2 cm)²(5 cm) ≈ 62.83 cm³

The mass of the water is then ...

  (62.83 cm³) × (1 g/cm³) = 62.83 g

Total mass

The total mass of the water-filled scoop is the sum of its empty mass and the mass of the water:

  scoop + water = 14.9 g + 62.8 g = 77.7 g

The mass of the scoop and water is 77.7 grams.

A car dealership increased the price of a certain car by 14% The original price was 32,600

Answers

Answer: 37164

Step-by-step explanation:

14% of 32,600 is 4564

-To find the new value of the car, you must add the 14% of the original value and the original value together

-4,564 + 32,600 = 37164

114%=32600
Divide both sides by 114
1%=285.96
Times by 100 on both sides
100%=28,596

Choose the best answer.
A statement in which a conclusion is true if the conditions of a particular hypothesis are true is called a

Answers

A statement in which a conclusion is true if the conditions of a particular hypothesis are true is called a conditional statement.

What is the conditional statement?

A conditional statement is one that has the form "If P then Q," where P and Q are sentences. P is referred to as the hypothesis in this conditional statement, and Q is referred to as the conclusion. "If P then Q" implies that Q must be true sometimes when P is true.

The type of conditional statements are as follows:

General truth: I feel better all day if I eat breakfast.Future event - I will investigate tonight if I have a scan tomorrow.Assumption: If I had a million dollars, I would purchase an airplane!Hypothetical outcome - I might have been offered the position if I had geared up for the interview.

A statement in which a conclusion is true if the conditions of a particular hypothesis are true is called a conditional statement.

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Points A, B, C and D are collinear, with B between A and C, and C between B and D. What is the measure of CD, if AB = 4x-1, BC= 6x-2, BD = 11x + 5, and AD = 64?
A. 15 units
B. 22 units
C. 25 units
D. 27 units
E. 33 units

Answers

Answer:

D. 27 units.

Step-by-step explanation:

See my attachments.

How do you write Euler's number in Symbolab?

Answers

To write Euler's number in Symbolab, you can simply use the notation "e". For example, if you want to evaluate the exponential function with a base of e raised to the power of 2, you can enter "e^2" in Symbolab.

Euler's number, denoted as "e", is a mathematical constant that is approximately equal to 2.71828. To write Euler's number in Symbolab, you can simply use the letter "e" in lowercase. For example, to evaluate the exponential function with a base of e raised to the power of 2, you can enter "e^2" in Symbolab.

Alternatively, if you want to use the built-in function for Euler's number in Symbolab, you can use the "exp(x)" notation, where x is the exponent. For example, to evaluate e raised to the power of 2, you can enter "exp(2)" in Symbolab. Symbolab supports various mathematical functions and constants, including trigonometric functions, logarithmic functions, and mathematical constants, which can be used to solve various mathematical problems.

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Which statements are correct about the average rate of change for the function
given in the table?
x y
1 1
2 3
3 7
4 15
Select all correct answers.
Select 2 correct answer(s)

Answers

The correct answer is the rate of change is 6 over interval 1 ≤ x ≤ 4 and the rate of change is 6 over interval 2 ≤ x ≤ 4  

What is the rate of change?

Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. In general, the formula for rate of change is: R = (D2 - D1)/T. where: R = rate of change.

Given that is a table, we need to find the average rate of change for the function,

a = 1, f(a) = 1

b = 2, f(b) = 3

Average rate of change is given by = f(b)-f(a) / b-a

= 3-1 / 2-1

= 2

a = 3, f(a) = 7

b = 4, f(b) = 15

Average rate of change is given by = f(b)-f(a) / b-a

= 15-7 / 4-3

= 8

a = 2, f(a) = 3,

b = 3, f(b) = 7

Average rate of change is given by = f(b)-f(a) / b-a = 4

Hence, the correct answer is the rate of change is 6 over interval 1 ≤ x ≤ 4 and the rate of change is 6 over interval 2 ≤ x ≤ 4  

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What is the connection string for SQL Server using Windows Authentication?

Answers

The connection string for SQL Server using Windows Authentication is as follows:

Server=myServerAddress;Database=myDataBase;Trusted_Connection=True;

Specify the server address in the format "Server=myServerAddress". Replace "myServerAddress" with the name or IP address of the SQL Server instance you want to connect to.

Specify the name of the database you want to connect to in the format "Database=myDataBase". Replace "myDataBase" with the name of the database.

Use Windows Authentication by setting "Trusted_Connection=True". This means that the user running the application is authenticated using their Windows credentials, rather than a SQL Server login.

Use semicolons (;) to separate the different parts of the connection string.

Using Windows Authentication is a more secure and convenient way to connect to a SQL Server database, as it eliminates the need to store and manage login credentials in the application.

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Find the value of each variable

Answers

The triangle on the left is a 45 45 90 triangle and the triangle on the right is a 30 60 90 triangle.

In a 45 45 90 triangle, the length of the hypotenuse is equal to the length of either one of the legs times the square root of 2. So that means that a and c are both 18.

In a 30 60 90 triangle, the length of the hypotenuse is twice that of the leg opposite the 30 degree angle. So that means that b is 36. The length of the leg opposite the 60 degree angle is the length of the other leg times the sq root of 3. So that would give you d = 18 sq root 3.

8 A crystal paperweight
is shaped like a cylinder with a star-shaped hole. The
top of the star-shaped hole is shaped like a square with four points that are
identical equilateral triangles. The height of the cylinder is 3 centimeters. Find
the volume of the paperweight.


Please Help ASAP!!!

Answers

The volume of the paperweight is 79.3 cm³.

What is a cylindrical shape?

A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.

Examples of cylinders are toilet paper rolls and cold beverage cans.

The volume of a cylinder is πr²h.

Curved surface area = 2πrh.

Total surface area = 2πr(h + r).

From the given information, The area of the star-shaped cutout is,

A square has a side length of 2 cm, and four equilateral triangles have a side and a height of 2 cm.

So, The area of the star-shaped cutout is,

= (2×2) + 4×(1/2)×2×2.

= 4 + 8.

= 12 cm.

Now, The volume of the star-shaped cut-out is,

= 12×height,

= 12×3.

= 36 cm³.

And the volume of the cylinder is,

= π(1 + 2 + 0.5)²×3.

= π(3.5)²×3.

= 115.4 cm³

Therefore, The volume of the paperweight is,

= 115.4 - 36 cm³.

= 79.3 cm³.

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the sum of 3 consecutive multiples of 8 is 888 find the multiples

Answers

Answer:

[tex]\fbox{\textbf{288, 296, and 304}}

[/tex]

Step-by-step explanation:Let's assume the first multiple of 8 is x, then the second multiple is x+8, and the third multiple is x+16.According to the problem statement, the sum of these three multiples is 888:x + (x+8) + (x+16) = 888Simplifying the left side:3x + 24 = 888Subtracting 24 from both sides:3x = 864Dividing both sides by 3:x = 288Therefore, the first multiple of 8 is 288, the second is x+8 = 296, and the third is x+16 = 304.So, the three consecutive multiples of 8 that add up to 888 are 288, 296, and 304

Paul, Maria, Stephanie, and Andy have a total of $56 to spend at the amusement park. Admission will cost them $5 each for a total of $20. They can spend the rest on food and rides. They plan to spend twice as much on rides as on food. How much do they plan to spend on rides?

Answers

Answer:

They plan to spend $24 on rides.

Step-by-step explanation:

Let the amount they spend on food be x.

ride : 2x

amount left= $56-$20

                    = $36

2x+x= 36

x=12

2x= 2(12)

   = 24

How many nets are there for a triangular pyramid?

Answers

The net of a triangular pyramid consist of a total of 4 triangles. it has 4 faces with the base being one of them which is also in the shape of a triangle.

A net of the triangular pyramid is the pattern formed when the surface of it is laid out flat showing each triangular face of the figure, therefore we know that the net of a triangular pyramid consist of a total of 4 triangles.

Triangular pyramid  is a pyramid which has a triangular base. In geometry, vertices are essentially corners. All triangular-based pyramids, either regular or irregular, have four vertices.

It has 6 edges, 4 faces, 4 vertices.

A regular triangular pyramid has equilateral triangles all four faces

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Select all the equations that are equivalent.
52 = 8n + 4
4(2n + 1) = 52
4 = 52 – 8n
4n = 48
n = 6

Answers

The equivalent equations are 52 = 8n + 4, 4(2n + 1) = 52 and 4 = 52 – 8n.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

To determine which equations are equivalent to each other, we can simplify and manipulate each equation to see if they have the same solution(s).

52 = 8n + 4 can be simplified by subtracting 4 from both sides:

48 = 8n

n=6

Now 4(2n + 1) = 52

8n+4=52

8n=48

n=6

So the 52 = 8n + 4 and 4(2n + 1) = 52 are equivalent equations.

Now 4 = 52 – 8n

8n=52-4 is also equivalent equation.

4n=48 and n=6 are also equal but they are not in the same form as above equations.

Hence, 52 = 8n + 4, 4(2n + 1) = 52 and 4 = 52 – 8n are equivalent equations.

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find x, please show the work

Answers

X = 8

You find this answer by solving the equation

8x-1+27=90 combine similar numbers

8x+26=90 Subtract 26 from both sides

8x=64 Divide both sides by 8

X=8

Substitute variable x for 8 and the angle you’re left with is 63 degrees

Which number is a factor of 24 but not a multiple of 12

Answers

8

it is a factor of 24 but not a multiple of 12

Select all of the expressions that have a positive value based on the positions of a and b.

(Select all that apply.)
1. -b
2. a+b
3.a-b
4. a*b
5. -b/a

Answers

The expressions that have a positive value based on the positions of a and b are a + b and a×b. options 2 and 4

What are algebraic expressions?

Algebraic expressions are defined as expressions that are made up of terms, variables, factors and constants.

These expressions are also composed of mathematical operations such as;

SubtractionBracketParenthesesMultiplicationAdditionDivisionFloor division

Given the expressions;

a+ b and a×b.

They have the variables both positive

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What is the result of multiplying the first equation by 2 and adding to the second equation?
6x − y = 7
2x + y = 5
A. 14x + 3y = 19
B.14x + y = 19
C.14x - y = 19

Answers

the only difference in the answer options is your y variable. the first equation (-y) multiple by 2 makes -2y. adding +y would make it a -y.

option c) 14x - y = 19 should be your answer

If f is differentiable at a, must f be continuous at a? A. No, if f is differentiable at a and does not have a corner at a, then f is continuous at a B. No, if f is differentiable at a and does not have a vertical tangent at a, then f is continuous at а. C. No, if f is differentiable at a and positive at a, then f is continuous at a. D. Yes, iff is differentiable at a, then fis continuous at a.

Answers

The correct statement regarding the continuity of differentiable functions is given as follows:

D. Yes, if f is differentiable at a, then f is continuous at a.

What is the continuity concept?

A function f(x) is continuous at x = a if it is defined at x = a, and the lateral limits are equal, that is:

[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]

For a function to be classified as differentiable, the function must be continuous, plus the first derivative of the function must also be continuous.

This means that all differentiable functions are continuous, and thus the correct option is given by option D.

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Which one of the following is not one of the 5 competitive factors that affect only wholesale sales of branded footwear to athletic footwear retailers? Expenditures for brand advertising The support a company offers to retailers in merchandising and promoting its brand The number of retail outlets carrying each company's brand Mail-in rebate offers The number of weeks it takes a company to deliver orders to footwear retailers What is synonym for genuine ? How many resonance structures can O3 make? Individuals who train to meet NFPA1072 will meet or exceed OSHA requirements for awareness, operations, and technicians. True or False can confectioners sugar be substituted for granulated sugar NombreFechaAs se dice! Level 2Read the following passage. Then write on the line the form of the word from the wordbox needed to complete the passage correctly, logically, and grammatically. Be careful tospell and accent the word correctly. Be sure to write the word on the line even if nochange is needed.Mi familia se haen que nospasado haMis padres52310comidas estaban[thousandth]2861417padre. El mozoque nosotrosllave y25recepcionista (quien era una mujer muy amable) noscon una sonrisa muy82304111518124921en muchos hoteles pero el hotelestado3increble. Al entrar en el hotel,19que13porque nosotros ramos los milsimosfin de semana12(una promocin!). Ella7sobre el desayuno y ella20nuestras maletas ylos mozos y camareras27trataron muy bien. Esta estadaa nuestra habitacin.16muy memorable!las26los milsimos clientes y por eso2922a mi1. hospedar2. haber3. el4. ser5. el6. saludar7. bonito8. a ella9. preguntar10. a ellos11. explicar12. todo13. incluido14. fantstico15. husped16. buscar17. el18. a l19. lo20. dar21. tomar22. para nosotros23. lo24. subir25. Todo26. saber27. ser28. a nosotros29. haber30. ser a main purpose of american economic aid to western europe after world war ii was to As the gauge number____ the size of the needle______ relation to it. decreases; increases increases; increases decrease; decreases No change. One does not change the other. Mr. Yu applies 12 ounce of fertilizer to every 58 square meter of his lawn.How many ounces of fertilizer does Mr. Yu use per square meter for his lawn?Enter your answer in the box as a fraction in simplest form. ounces per square meter which of these topics is more appropriately narrowed for a research paper? the united states flag the united states give example discrete variable after a long series of calls to fib(k1), fib(k2),. . . fib(km), with k1, k2, . . . km being random values between 0 and maxmemo, what will be the big-o for the expected work performed by a call to fib(n) (where n < maxmemo)? Evaluate xy + 2x if x = 7 and y =5 what does fico stand for Can someone help me with this please FILL THE BLANK a ____ error does not prevent the program from running, but causes it to produce incorrect results. Does someone mind helping me with this problem? Thank you! An economy has a monetary base of 1,000 $1 bills. Calculate the money supply in scenarios (a)(d) and then answer part (e).a) All money is held as currency.b) All money is held as demand deposits. Banks hold 100 percent of deposits as reserves.c) All money is held as demand deposits. banks hold 20 percent of deposits as reserves.d) People hold equal amounts of currency and demand deposits. Banks hold 20 percent of deposits as reserves.e) The central banks decides to increase the money supply by 10 percent. In each of the four scenarios, how much should it increase the monetary base? what is/are composed of minerals and salts and can affect any part of the urinary tract? When combining an acid and water you should always add the acid to the water?