Sheila is making accessories for the soccer team. She uses 722.56 inches of fabric on headbands for 28 players and 4 coaches. She also uses 241.64 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

The sum of three integers is greater than 9. Assuming all integers same can show that one of the integers must be greater than 3.

The three elements that make up an integer are zero, the natural numbers, and their additive inverse. It can be shown on a number line, but without the fractional portion. Z stands for it.

Given,

Sum of three integers is greater than 9.

Let all the integer be same, then

x + x + x > 9

3x > 9

x > 3

Let take that the three integers are consecutive, then

x+ x + 1 + x +2> 9

3x + 3>9

3x > 6

x> 2

So, the integer must be 3, 4 and 5

Here we can see that one integer must be greater than 3.

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Based on the observation the appropriate domain of the function is 12.5.

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

Given, a company manufactures and sells shirts.

The daily profit the company makes depends on how many shirts they sell.

The company sell x shirts can be found by function f(x)=7x-80

The given function is f(x)=7x-80

f(-7)=7(-7)-80=-49-80

=-129

The value is negative so it is not the answer.

f(8)=7(8)-80

=56-80=-24

The value is negative so it is not the answer.

f(12.5)=7(12.5)-80

=87.5-80

7.5

The company sells 12.5 shirts.

Hence, based on the observation the appropriate domain of the function is 12.5.

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By using function, it can be concluded that-

The predictor variables are bed, bath, floor

What is function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

In a function y = f(x), x is the independent variable and y is the dependent variable.

The price of an apartment is dependent on the number of bedrooms, bathrooms and the floor of the apartment

So the required function is p = f(bed, bath, floor) where p is the price of the apartment

The predictor variables are bed, bath, floor

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The ladder is 13.15 feet long.

"Information available from the question"

In the question:

A ladder is placed against the side of a house.

The base of the ladder rests 2 feet from the house

and, the top of the ladder meets a window sill that is 13 feet up from the ground.

To find the how long is the ladder?

Now, According to the question:

Let's Know:

What is Pythagoras theorem?

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle), algebraic notation,

a² + b² = c².

The set is making a right triangle, so using Pythagoras theorem,

base² + (wall length)² = (length of ladder)²

2²+13² = (length of ladder)²

169+4 = (length of ladder)²

173 = (length of ladder)²

(length of ladder) = √173

(length of ladder) = 13.15

Hence, The ladder is 13.15 feet long

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Answer:

173

Step-by-step explanation:

Did it

Equation which represents the relationship between the number of soda bottles with winning caps and the total number of soda bottles produced is 7w=20t

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

Given that Seven out of every twenty soda bottles produced have caps indicating that the purchaser has won a prize.

We need to find the equation which  represents the relationship between the number of soda bottles with winning caps and the total number of soda bottles produced.

Let w represent the number of bottles with winning caps, and

let t represent the total number of bottles produced.

t=7/20w

7w=20t.

Hence, 7w=20t is the equation represents the relationship between the number of soda bottles with winning caps and the total number of soda bottles produced.

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Answer:

Step-by-step explanation:

f+5

If  equation y = 6200x represents the number of miles, y, that the satellite Space Explorer flies in a hours then 6200 is the rate of change.

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

The given equation is y = 6200x

y equal to six thousand two hundred times of x.

y = 6200x represents the number of miles, y, that the satellite Space

Explorer flies in a hours.

We need to find the rate of change.

Rate of change means how quickly something changes over time.

Differentiate the equation with respect to x

dy/dx=6200

Hence, the rate of change is 6200.

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Answer:B!!!!

Step-by-step explanation:

HOPE THIS HELPED

1. The actual differences that researchers imply causality come from randomized experiments.

2.  That the sample selected represents the population.

3. Confidence level clearly stated.

Population values, also called parameters, are calculated from all values ​​in the entire population.

A representative sample is a subset of the population that attempts to accurately reflect the characteristics of the larger group. For example, in a classroom of her 30 students, 15 boys and 15 girls, you can create a representative sample of her 6 students, 3 boys and 3 girls.

Probable sampling is defined as a sampling technique in which the researcher selects samples based on the researcher's subjective judgment rather than at random. This is a less rigorous method. This sampling method relies heavily on the researcher's expertise. This is done through observation and is often used by researchers for qualitative research.

A confidence interval (CI) is the range of estimated values ​​for an unknown parameter. Confidence intervals are computed at the specified confidence level. A 95% confidence level is the most common, but other levels such as 90% and 99% are sometimes used. The confidence level represents the proportion of corresponding CIs over time that contain the true value of the parameter. For example, 95% of all intervals computed at the 95% level must contain the true value of the parameter.

Factors that affect the width of the CI include confidence level, sample size, and intra-sample variation. All other things being equal, the larger the sample, the narrower the confidence interval. Similarly, the greater the sample variability, the wider the confidence interval, and the higher the confidence level, the wider the confidence interval should be.

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The translations performed are

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

f(x) = ln(x)

g(x) = -ln(x + 1) - 3

First, we have the transformation to be:

From f(x) = ln(x) to f(x) = -ln(x)

This means a reflection across the x-axis

Next, we have

From f(x) = -ln(x) to f(x) = -ln(x + 3)

This means the function is translated left by 3 units

Next, we have:

From f(x) = -ln(x + 3) to f(x) = -ln(x + 3) - 3

This means the function is translated down by 3 units

Hence, the translation is 3 units left and 3 units down

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Answer:

Step-by-step explanation:

I think it's B or C because if you look closely u see that the line goes up then straight on 4. Go for an educational guess.

Answer:

72 seconds I think I am sorry if it is wrong

The equation of the function in vertex form is y = -(x + 5)² + 4

A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .

Given that the quadratic function has roots at -3 and -7 and a vertex at (-5,4).

We need to find the equation of the function in vertex form

equation of the function in vertex form.

As per the information given in the question,

The given roots of the function are -3 and -7,

y = a (x + 3) (x + 7)

y = a (x² + 10x + 21)

y = a (x² + 10x + 25 − 4)

y = a (x² + 10x + 25) − 4a

y = a (x + 5)² − 4a

The vertex is (-5, 4),

So, a = -1.

y = -(x + 5)² + 4

Hence, y = -(x + 5)² + 4  is the equation of the function in vertex form

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However, it’s possible to notice clouds moving vertically. That is, at one point you might see a cloud much lower slightly rise up further in the sky. This is due to convection, which is rising hot air from the ground moving upwards. This hot air can cause clouds to move upwards where the air is colder.

Answer:

Physical change

Step-by-step explanation:

Answer:

y=-9

Step-by-step explanation:

Answer:

y - 14 = -0.5(x + 9)

The standard form of the quadratic equation is x² -17x + 60 =0

What is a quadratic equation?

A quadratic equation is a second-order polynomial equation with a single variable such as x, where ax²+bx+c=0. with a ≠ 0 . Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution. Real or complicated solutions are both possible.

Standard form of a quadratic equation:

ax² + bx + c=0

Given:

x² = 17x - 60

move right side terms to the left

x² -17x + 60 =0

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The slope of the line of best fits will be $0.15 per minute. Then the correct option is A.

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

Take two points from the table which are (300, 90) and (100, 60). Then the slope of the line is given as,

m = (90 - 60) / (300 - 100)

m = 30 / 200

m = $0.15 per minute

The slope of the line of best fits will be $0.15 per minute. Then the correct option is A.

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45 is the rate does the car use gas, in miles per gallon.

Cameron's car used 15 gallons to travel 675 miles.

Simply dividing the distance driven by the quantity of petrol your car required to fill up is the simplest approach to figure out how much gas you'll need. That is the sum of the miles traveled and the gas consumed.

The car travels 675 miles, which we divide by the 15 gallons in a full tank of gas to determine miles per gallon of fuel.

Rounding to the nearest tenths place, 675/115 equals 45.

45 is the rate does the car use gas, in miles per gallon

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Answer:

6 plus 10

Step-by-step explanation:

6 beginning number plus 10 repeatedly

The solution to the equation -2.5(4x - 4) = -6 is x = 1.6

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

-2.5(4x - 4) = -6

Open the bracket using the Distributive Property

So, we have the following representation

-10x + 10 = -6

Subtract 10 from both sides of the equation

-10x = -16

Divide both sides by -10

x = 1.6

Hence, the solution is x = 1.6

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Option c) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B

According to the information given in the question,

A true proportion of 0.325 represents that the two simulations will be conducted for sampling proportions from a population

Simulation A -

Sample size - 100

Trials - 1500

Simulation B -

Sample size - 50

Trials - 2000

Now due to the relation of simulation A and simulation B, they are closely equal-

The total sample size of simulation A= 1500 x 100

= 150000

The total sample size of simulation B = 2000 x 50

= 100000

From the above calculations of simulations A and B, we can see that while comparing the,

Sample Size = Simulation A > Simulation B

Variability = Simulation B < Simulation B

Therefore, option c) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B is correct.

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In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?

A) The centers will roughly be equal, and the variabilities will roughly be equal.

B) The centers will roughly be equal, and the variability of simulation A will be greater than the variability of simulation B.

C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.

D) The center of simulation A will be greater than the center of simulation B, and the variability of simulation A will roughly be equal to the variability of simulation B.

E) The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be greater than the variability of simulation B.

Answer:

Step-by-step explanation:

A Commission

The extra 2% of the sales dollars that Padma receives each month is called a commission.

The commission is a payment made to an employee in addition to their regular salary or wages, based on the number of sales or business they bring in. Another popular definition of commission is the amount of money earned by an employee when they sell something: He receives a 1% commission on each sale in addition to his pay.

As per the question, Padma receives a commission of 2% of the sales dollars she brings in each month. The commission is a common form of compensation in sales and customer service jobs, where employees are often paid a base salary plus a commission based on their sales or performance.

Thus, the required fill-in-the-blank will be "commission".

Hence, the extra 2 percent of the sales dollars that Padma receives each month is called a commission.

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Total 83 numbers that are positive perfect squares less than [tex]10^6[/tex] are multiples of 24.

What is perfect Square?

A perfect square is a number that can be written as the second exponent of an integer or as the product of an integer by itself.

For instance, the number 25 is a perfect square since it is the product of the integer 5 multiplied by itself, 5*5 = 25.

21 cannot be expressed as the product of two identical integers, so it is not a perfect square number.

Prime Factorization of 24 is 2^3*3.

There must be at least 3 factors of number 2 and 1 factor of number 3 in each square.

its square root must have 2 factors of number 2 and 1 factor of number 3.

This means each square should be in the from [tex](12*c)^2[/tex]. where 12 is a positive numbers less than [tex]\sqrt{10^6}[/tex]  = 1000.

So total numbers of positive perfect squares.

= 1000/12 = 83.

Total 83 numbers that are positive perfect squares less than [tex]10^6[/tex] are multiples of 24.

Given question is incomplete Complete Question here

How many perfect squares less than 10^6 are multiples of 24.

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Square 1 is so named because of the shape of the puzzle: it is a cube with four sides, each with nine squares, creating a square shape

The puzzle is also sometimes referred to as a "magic cube" because it can be rearranged into different shapes and configurations.Square 1 is a 3-dimensional puzzle that consists of nine squares on each side of a cube. The puzzle is made up of four layers of nine colored squares that can be rotated around the center axis. This creates a square-like shape, hence the name “Square 1”. The object of the game is to arrange the nine squares on each side so that all of the colors match up. This requires the player to manipulate and rotate the pieces in order to achieve the desired outcome.

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Identifying Correlation helps in presenting solutions to be explored.

What is Correlation?

Correlation is a statistical metric (a number) that represents the magnitude and direction of a link between two or more variables. A correlation between variables, on the other hand, does not imply that a change in one variable is the cause of a change in the values of the other variable.

Solution:

Identifying Correlation helps in presenting solutions to be explored.

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The surface area of that part of the plane 6x+10y+z=9 that lies inside the elliptic cylinder [tex]x^{2}/49 + y^{2}/9 =1\\[/tex] is 21 [tex]\pi[/tex] [tex]\sqrt{137\\[/tex].

Given:

6x + 10y + z = 9  ..... (1)

[tex]x^{2}/49 + y^{2}/9 =1\\[/tex] ..... (2)

Equation (1) can also be written as:

z = 9 - 6x - 10y ...... (3)

The surface area is given by the equation:

SA = ∫∫[tex]\sqrt{((df/dx)^2) + (df/dy)^2 + 1} )dA[/tex]

[tex]\sqrt{df}/dx = -6[/tex]

[tex]\sqrt{df}/dy = -10[/tex]

Now, substitute the known values in equation (4).

SA = ∫∫[tex]\sqrt{(-6)^2 + (-10)^2 + 1} dA[/tex]

SA =[tex]\sqrt{137}[/tex]  ∫∫dA

Now the area enclosed by an ellipse is given by:

[tex]x^{2}/49 + y^{2}/9 =1\\x^{2}/a^2 + y^2/b^2=1\\[/tex]

By comparing the above equation:

a = 7

b = 3

The area is given by:

SA = [tex]\sqrt{137}[/tex] [tex]\pi[/tex] (7 x 3)

SA = 21 [tex]\pi[/tex] [tex]\sqrt{137\\[/tex]

The surface area of an elliptic cylinder is 21 [tex]\pi[/tex] [tex]\sqrt{137\\[/tex].

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Mario left 65 miles to reach his goal and m + 65 = 130 is the equation to show how many miles Mario has left to run this month to reach his goal

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

Given that the Mario set a goal to run 130 miles this month to prepare for a marathon.

He has run 65 miles in this month.

We need to find the equation to show how many miles Mario has left to run this month to reach his goal.

m+65=130

We can find the left out distance in miles.

Subtract 65 from both sides.

m=130-65

m=65

Hence, m + 65 = 130 is the equation to show how many miles Mario has left to run this month to reach his goal and Mario left 65 miles to reach his goal.

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Answer:

it's b

Step-by-step explanation:

3±2√3 much longer is the longer leg when in a right triangle, the hypotenuse is 2 cm longer than the longer leg, while one of the legs is 1 cm shorter than the other.

Given that,

In a right triangle, the hypotenuse is 2 cm longer than the longer leg, while one of the legs is 1 cm shorter than the other.

We have to find how much longer is the longer leg.

We know that,

Let the one side of the triangle be x

The other side we get x-1 and x+2

From Pythagoras theorem,

x²+(x-1)²=(x+2)²

x²+x²-2x+1=x²+4x+4

2x²-2x+1-x²-4x-4=0

x²-6x-3=0

To find the value of x we have a formula that is

x=-b±√(b²-4ac)/2a

Here, a=1, b=-6 c=-3

x=6±√(-6²-4(1)(-3))/2(1)

x=6±√36+12/2

x=6±√48/2

x=6±4√3/2

x=3±2√3
Therefore, 3±2√3 much longer is the longer leg when in a right triangle, the hypotenuse is 2 cm longer than the longer leg, while one of the legs is 1 cm shorter than the other.

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