a president and vice-president for a sorority are chosen from six people. how many different president/vice-president combinations are possible?

Answer: The wall that Randy is painting is 20 feet long and 6 feet high. The two corners that he is not painting are triangular in shape and are each 6 feet high and 4 feet wide.

So the area of the wall that Randy is going to paint is:

20 ft * 6 ft = 120 sq ft

The area of the two corners that Randy is not painting is:

(1/2) * 4 ft * 6 ft = 12 sq ft

Therefore, the total area that Randy needs to paint is:

120 sq ft - 12 sq ft = 108 sq ft

One gallon of paint will cover 100 square feet.

So Randy will need to purchase 108 sq ft / 100 sq ft/gallon = 1.08 gallons of paint.

Randy will have to purchase 1.08 gallons of paint.

Step-by-step explanation:

Answer: plane a is faster than plane b because it has more speed than plane b

Step-by-step explanation:

The range of the function (f+g)(x) = x² - 1 will be ( -1, ∞ ). The correct option is B.

The range of values that we are permitted to enter into our function is known as the domain of a function.

The x values for a function like f make up this set (x). A function's range is the set of values it can take as input. After we enter an x value, the function outputs this set of values.

Given that the function is f(x) = x²+2x-5. The function g(x) will be calculated by the data given in the table.

x           -6    -3     -1    4

g(x)       16    10    6   -4

The function g(x) will be:-

g(x) = mx + c

m = ( 10 - 16 ) / ( -3 + 6 )

m = -6 / 3

m = -2

c = y - mx

c = 10 - 6

c = 4

g(x) = -2x + 4

The function ( f + g)(x) will be:-

( f + g)(x) = f(x) + g(x)

( f + g)(x) = x²+ 2x - 5 - 2x + 4

( f + g)(x) = x² - 1

At x = 0, the value ( f + g)(x) is -1. The range of the function is ( -1, ∞).

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a. 9 quarts of sparkling water

b. 1 quart of grape juice

c. 50 quarts of sparkling water and 50 quarts of grape juice

The rationale behind the values above are as explained below:

a. If the recipe calls for 1 quart of sparkling water to be mixed with 1 quart of grape juice, then to mix with 9 quarts of grape juice, you would need 9 quarts of sparkling water.

b. If the recipe calls for 1 quart of sparkling water to be mixed with 1 quart of grape juice, then to mix with 1 quart of sparkling water, you would need 1 quart of grape juice.

c. To make 100 quarts of sparkling grape juice, using the 1:1 ratio in the recipe, you would need 50 quarts of sparkling water and 50 quarts of grape juice.

Therefore, the correct answers are as given above

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To determine whether the variable is qualitative or quantitative, the reasoning for the following question will be:

a) qualitative, State of residence describes an attribute or characteristic, making the variable qualitative. Because the state of residence can be determined through measurement or counting, the variable is qualitative.

b) quantitative, The state of residence serves as a description of an attribute or characteristic, so the variable is quantitative. Since determining the state of residence requires measuring or counting, the variable is quantitative.

c) qualitative, Your variable will be quantitative if it is something like, say, your age or salary, which is typically something that can be discovered by counting or using mary-screw analysis. However, in this case, the state of residence is obviously a qualitative factor.

d) qualitative, If your variable is something like, say, your age or salary, or if it's something that is typically discovered by counting or Mary, then these kinds of variables are quantitative. But in this case, the state of residence is categorically important for this question.

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The value of cosθ = 0.5

The correct option is (A).

Now, According to the question:

Basic Trigonometric Function Formulas:

By using a right-angled triangle as a reference, the trigonometric functions and identities are derived: sin θ = Opposite Side/Hypotenuse. cos θ = Adjacent Side/Hypotenuse. tan θ = Opposite Side/Adjacent Side.

Remember that in a right triangle, we have that:

cos(θ) = (adjacent cathetus)/(hypotenuse)

Here we have:

Replacing all that in the equation we get:

cos(60°) = 1/2 = 0.5

Hence, the value of cosθ = 0.5

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The value of x, y, and z in the rhombus are -114, 7 and 59 respectively

Since the opposite angles of a rhombus are equal to each other. We can write:

(-x-10)° = 104°

-x-10 = 104

-x = 104 + 10

x = -114

Since the adjacent angles in rhombus are supplementary. We have:

114 + (z + 7) = 180

121 + z = 180

z = 180 -121

z = 59

104  + (10y + 6) = 180

110 + 10y = 180

10y = 180 - 110

10y = 70

y = 70/10

y = 7

Thus, the value of x, y, and z are -114, 7 and 59

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Answer: If each of the s swimmers on the relay team swam an equal number of the 8 laps in a race, the expression that shows how many laps each swimmer swam would be 8/s.

This expression shows that each swimmer swam 8 laps, divided by the total number of swimmers on the team, s.

So, if there are 's' swimmers on the relay team, each swimmer swam 8/s laps.

Step-by-step explanation:

Answer:

I don't know????????....................

Bryan owns a clothing store,  Insurance: F , Internet bill: F , Clothes: V ,Employees' salaries: F

F is for fixed and V is for variable used .

Fixed cost :

Regardless of production output, fixed costs remain constant. Lease and rental payments, insurance, and interest payments are examples of fixed costs. Costs that are not affected by volume are known as fixed costs. Costs that are usually based on time rather than on how many products or services your company sells or produces are known as fixed costs. Rent and lease payments, salaries, utility bills, insurance, and loan repayments are all examples of fixed costs.

Costs that do not change when production or sales volumes increase or decrease are known as fixed costs. This is because they are not directly involved in providing a service or manufacturing a product. Consequently, fixed costs are regarded as indirect costs.

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Answer:

Step-by-step explanation:

Answer:

5/18

Step-by-step explanation:

1. to get to the fractions you need to subtract make them have the same denominator. make 1/2=9/18 and 2/9=4/18

2. 9/18-4/18=5/18

The length of the chalk outline is 19 feet.

The field is circular and the line drawn by chalk is the length of the rim of the circular field and is called the circumference. It can be calculated from the radius(or diameter) of the circle.

The formula of the circumference of a circle:

Circumference of circle [tex]= 2 * \pi * r = \pi * d[/tex]

where r means the radius of the circle and d means the diameter of the circle.

The diameter d = 2 times of radius

Thus, we have:

Length of a chalk outline [tex]= \pi * d = \pi * 6 = 3.14 * 6 = 18.84 = 19 feet[/tex]

So,  the length of the chalk outline is 19 feet.

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Answer:

9π inches

Step-by-step explanation:

we know clock start from 12 o'clock to 9 o'clock, it will be 270 degree. Then we convert it to radian is 3π/2. We get the radian and the radius. So we can apply the formula of the lenghth of an arc.

l = rθ

l=6*3π/2=9π inches

Answer:

Step-by-step explanation:

a)
Because if you visualize the formation of it size x will fit perfectly on the 6cm side therefore x = 6cm

b)
6 x 9 = 54cm

The amount he will be able to depreciate using the class recovery period for a residential rental property each year is D. $10,909.09.

The term depreciation defines as an accounting method used to allocate the cost of a tangible or physical asset over its useful life.

It also represents how much of an asset's value has been used, and allows companies to earn revenue from the assets they own by paying for them over a certain period of time.

Using this formula:

Depreciation=Rental unit amount/ MACRS residential rental property recovery period

Where:

Rental unit amount=$300,000

MACRS Residential rental property recovery period=27.5 years

Let's plug in the formula

Depreciation=$300,000/27.5

Depreciation=$10,909.09

In conclusion, the amount he will be able to depreciate  using the class recovery period for a residential rental property each year is: D. $10,909.09

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The cost of one DVD to Hector is $11.8.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Hector spent $26.75 for 2 DVDs that cost the same amount.

The sales tax on his purchase was $4.15.

That means,

the cost of 2 DVDs = 26.75 - 4.15 = $22.6

Hector also used a coupon for $1.00 off his purchase.

That means,

the cost of 2 DVDs = $23.6

The cost of one DVD = 23.6 /2 = $11.8

Therefore, the cost of one DVD is $11.8.

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The angle pairs that forms corresponding angles are angles 1 and 5. Option B

Corresponding angles are defined as angles formed when two parallel lines are both intersected by a transversal.

They are also described as any pair of angles in which each of the angles are on the same side of one of two lines that is cut by another line and on the same side of that other line.

The types of corresponding angles are;

Hence, the pairs that are corresponding are 1 and 5

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Answer:

$705

Step-by-step explanation:

($3400)(0.075) = $255 commission earned

Total wage for that week = $450 + $255 = $705

note:  this answer assumes that $450 is the weekly basic wage, not daily

The inequality -x+3y < 6 passes through the points (-6, 0) and (0, 2).

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

We have an inequality,

-x+3y < 6.

The graph of the inequality is given in the attached image.

And inequality passes through the points (-6, 0) and (0, 2).

Therefore, the graph of the inequality is given in the attached image.

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The height of the wall decal when my actual height is 5.5 inches, is equals to the 110 inches.

We have, My height in the portrait measures = 3 1/2 inches = 7/2 = 3.5 inches

According to the scale used by company,

one inch measurement on portrait = 20 inches on the wall decal. That is portrait measurement / wall decal = 1/20 ( in inches) . We have to determine the height on the wall decal if my actual height is 5.5 inches. Let the height of wall decal be "h inches" when my actual height is 5.5 inches. Write the proportion like this to calculate the value of h , 1/20 = 5.5/ h

Cross multiply we get,

=> 1× h = 5.5 × 20

=> h = 110.0

Hence, the required height of the decal is 110 inches.

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Complete question:

Your height in the portrait measures 3 1/2 inches, if the company uses a scale where 1 inch on the portrait represents 20 inches on the wall decal, find the height on the wall decal if your actual height is 5.5 inche?

When compared to my actual height of 5.5 inches, the wall decal's height is 110 inches.

We've got My height in the image is 3 1/2 inches plus 7/2, which is 3.5 inches.

On the basis of the scale:

20 inches are equal to one inch in a portrait on the wall decal. That is a portrait measurement divided by a 20-inch wall decal. If my real height is 5.5 inches, we must determine the height on the wall decal. Let the wall decal's height be "h inches" even though my height is 5.5 inches. To compute the value of h, write the ratio as 1/20 = 5.5/h.

When we cross multiply,

1× h = 5.5 × 20

h = 110.0

Therefore, 110 inches is the minimum height for the decal.

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Note: The complete question would be as bellow,

Your height in the portrait measures 3 1/2 inches, if the company uses a scale where 1 inch on the portrait represents 20 inches on the wall decal, find the height on the wall decal if your actual height is 5.5 inche?

The value of k that makes the equation true is given as follows:

a. 6.

The equation for this problem is defined as follows:

12a + 9b = k(2a + 3/2b).

The equation will be true is both sides are equal.

Applying the distributive property to the right side, we have that:

12a + 9b = 2ak + 3kb/2.

Taking one of the terms, the value of k is obtained as follows:

2ak = 12a

k = 12a/2a

k = 6.

Meaning that the correct option is given by option A.

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Here to solve the probability of this sum, it is difficult to say that the probability without no information.

(a)The probability that the team wins the debate with a junior giving the closing argument is 0.083.

(b) To design a simulation to estimate the probability that a sophomore is never selected to give the closing argument in the next 3 debates, one could randomly assign a closing argument speaker for each debate using a table of random digits. The table would have two columns: one for sophomores and one for juniors and seniors. The probability of a sophomore being selected would be 20%, and the probability of a junior or senior being selected would be 80%. The simulation would be run for 3 debates and the number of times a sophomore is never selected would be recorded. This process would be repeated a number of times to estimate the probability of a sophomore never being selected. (e) Based on the dot plot, it appears that there is some evidence that the sophomores were purposely ignored, as there are several simulated sets of 5 debates where a sophomore was not selected to give the closing argument. However, without more information, it is difficult to say for certain if this is enough evidence to support the claim that the sophomores were purposely ignored.

A larger sample size or a more detailed analysis of the simulation results may be needed to make a more convincing determination.

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20 litres of regular milk must be mixed with 90 l of milk with 1% butterfat to have milk with 2% butterfat.

From the data given,

Let us assume that the x litres of regular milk which have 4% butterfat is mixed.

The amount of butterfat in 40 L of milk with 1% butterfat will be = (40*.01)=0.4 L

The amount of butterfat in x L of milk with 4% butterfat will be =x *0.04=0.04 x

The amount of butterfat in (40+x) L  (when both are mixed) of milk with 2% butterfat will be =(40+x)*(0.02)=0.02(40+x)

Since we are aware that the total quantity of butterfat in each type's individual milk will match the total amount of butterfat in the final milk.

Therefore we can set up the equation which will be like this:

0.4+0.04 x=0.02(40+x)

Now solving the above equation for getting the value of "x"

0.4+0.04 x=0.02(40+x)

=>0.4+0.04x=0.8+0.02x

=>0.04x-0.02x=0.8-0.4

=>0.02x=0.4

=>x=(0.4/0.02)=20

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To make milk with 2% butterfat, 20 liters of ordinary milk must be combined with 90 liters of 1% butterfat milk.

Assume that 4% butterfat normal milk in an amount of X litres is combined. 40 L of milk with 1% butterfat will contain (40 x 0.01)=0.4 L of butterfat. In X L of milk containing 4% butterfat, the amount of butterfat is equal to =(X liter) x (0.04)=0.04 X.

When both are combined, (40+X) L of milk with 2% butterfat will contain =(40+X)*(0.02)

=0.02(40+X) grams of butterfat.

We know that the overall amount of butterfat in each type's individual milk will be the same as the total amount of butterfat in the finished milk.

As a result, we may construct the equation, which looks like this:

0.4+0.04X = 0.02(40+X)

To find the value of "X," solve the equation above.

0.4+0.04 X=0.02(40+X)

= 0.4+0.04X=0.8+0.02X

= 0.04X-0.02X=0.8-0.4

= 0.02X=0.4

= X=(0.4/0.02)

=  20

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Country B is more efficient than Country A when it comes to producing cars and tanks.

Country A takes twice as long to produce a car (30 minutes) than Country B (12 minutes). However, Country A takes 20 minutes to produce a tank while Country B takes 10 minutes, cutting the amount of time in half.

We can measure the efficiency of each country by calculating the number of cars and tanks each country can produce in an hour. We can do this using the following formula:

Cars per hour = (60 minutes/minutes to produce car)

Tanks per hour = (60 minutes/minutes to produce tank)

For Country A, the number of cars produced in an hour is (60 minutes/30 minutes) = 2 cars per hour and the number of tanks produced in an hour is (60 minutes/20 minutes) = 3 tanks per hour.

For Country B, the number of cars produced in an hour is (60 minutes/12 minutes) = 5 cars per hour and the number of tanks produced in an hour is (60 minutes/10 minutes) = 6 tanks per hour.

Therefore, Country B is more efficient than Country A when it comes to producing cars and tanks.

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6 coach tickets and 9 first-class tickets were bought, totaling the number of tickets purchased.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

A mix of operators, constants, and variables make up an expression. An expression can yield a value by using one or more operands and one or more operators.

An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases.

The algebraic expression that results from multiplying two variables, x and y, is xy.

Let's say that x coach tickets were purchased.

And y is the total number of first-class tickets bought.

Now,

15 people in total, including Sarah, made the journey.

Thus,

x + y = 15(1)

Coach and first-class tickets are priced at $200 and $1290, respectively.

The trip's total spending for air travel is $11,720.

Therefore,

200x + 1290y = 11720

20x + 129y = 1172

We obtain by resolving both equations.

x = 6

y = 9

Consequently, 6 coach tickets and 9 first-class tickets were acquired, making up the total number of tickets.

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