An anonymous survey of college students was taken to determine behaviors regarding​ alcohol, cigarettes, and illegal drugs. The results were as​ follows: 875 drank alcohol​ regularly, 665 smoked​ cigarettes, 207 used illegal​ drugs, 422drank alcohol regularly and smoked​ cigarettes, 113 drank alcohol regularly and used illegal​ drugs,126 smoked cigarettes and used illegal​ drugs, 97 engaged in all three​ behaviors, and217 engaged in none of these behaviors.

​a) How many students were​ surveyed?

nothing

The volume of file cabinet is equal to 26 / 3 cubic feet.

The statement let us infer that file cabinet has the form of right prism with rectangular base, whose formula is shown below:

V = b · h · l

Where:

If we know that b = 2 1 / 6 ft (13 / 6 ft), h = 1 1 / 2 ft (3 / 2 ft) and l = 2 2 / 3 ft (8 / 3 ft), then the volume of the file cabinet is:

V = (13 / 6 ft) · (3 / 2 ft) · (8 / 3 ft)

V = 26 / 3 ft³

Statement present an anomalous character "2", correct statement is introduced below:

A locker measurement at the bottom as 2 1 / 6 ft wide, 1 1 / 2 ft high and 2 2 / 3 ft long.

Picture is missing but question can be solved by inferential approach.

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The six trigonometry ratios are:

sinθ = 3/5, cosθ = 4/5, tanθ = 3/4, cotθ = 4/3, secθ = 5/4, cosecθ = 5/3

The point is (4, 3).

Perpendicular = 3

Adjacent Side = 4

Using the Pythagorean Theorem we find the value of Hypotenuse.

h = [tex]\sqrt{4^2 + 3^2}[/tex]

h = √(16 + 9)

h = √25

h = 5

The value of six trigonometric functions are

sinθ = Perpendicular/Hypotenuse

sinθ = 3/5

cosθ = Adjacent Side/Hypotenuse

cosθ = 4/5

tanθ = Perpendicular/Adjacent Side

tanθ = 3/4

cotθ = Adjacent Side/Perpendicular

cotθ = 4/3

secθ = Hypotenuse/Adjacent Side

secθ = 5/4

cosecθ = Hypotenuse/Perpendicular

cosecθ = 5/3

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The complete question is:

The point (4,3) is on the terminal side of an angle in standard position, how do you determine the exact values of the six trigonometric functions of the angle?

The average number of gallons of fruit juice consumed per person in the country in 2006 is 3.56  gallons per person

The average value in a set of numbers is the middle value calculated by dividing the total of all the values by the number of values.

Given:

Total consumption of fruit = 1.78 billion gallons

= 1,780,000,000

Total population = 500 million

= 500,000,000

Average number of gallons of fruit juice consumed per person = 1,780,000,000 ÷ 500,000,000

= 3.56 gallons per person

About how many gallons would your class consume?

Assume, there are 7 students in your class

Average number of gallons of fruit juice consumed per person = 3.56 gallons / 7

= 0.50 gallons per student

Therefore, the average number of gallons of fruit juice consumed per person in the country in 2006 is 3.56  gallons per person

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Answer:

Step-by-step explanation:

honolululuulu

The simplified form of the expression 4hk/20h²k is 1/5h.

Given the expression in the question;

4hk / 20h²k

To simplify, first cancel out the common factor of 4 and 20.

4hk / 20h²k

4(hk) / 4(5h²k)

hk / 5h²k

Next, cancel out the common factor of h and h²

h(k) / h(5hk)

k / 5hk

Now, cancel out the common factor of k

k(1) / k(5h)

1/5h

Therefore, the simplified form is 1/5h.

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The rational inequality is not provided, so it is not possible to determine the next smallest critical value, b. To determine the critical values, or the values of x that make the denominator of the rational inequality equal to zero, you would need to set the denominator equal to zero and solve for x.

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Answer:

Mixed Number: [tex]\frac{7}{2}[/tex]

Regular [tex]3\frac{1}{2}[/tex]

Explantion \/ \/

The bearing of point A from point O is 256°.

In mathematics, a bearing is the angle in degrees measured clockwise from north. Bearings are usually given as a three-figure bearing. For example, 30° clockwise from north is usually written as 030°.

Given that, angle x= 076° and angle y = 111°.

Now, the bearing of point A from point O is

180°+ 076°

= 256°

Therefore, the bearing of point A from point O is 256°.

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Answer:

See explanation below.

Step-by-step explanation:

1. (-1, -1) and (2, -2)

  m = -2+1 / 2+1

  m = -1/3

2. (-1, -4) and (0, -1)

  m = -1+4 / 0+1

  m = 3/1

  m = 3

3. (-4, 0) and (-2, -3)

  m = -3-0 / -2+4

  m = -3/2

4. (2, 0) and (0, -3)

  m = -3-0 / 0-2

  m = -3/-2

  m = 3/2

5. (-1, 2) and (-4, -3)

  m = -3-2 / -4+1

  m = -5/-3

  m = 5/3

6. (4, 3) and (1, -4)

  m = -4-3 / 1-4

  m = -7/-3

  m = 7/3

The domain of the function h(t) = -16(t)² + 80t is,

⇒ (- ∞, ∞)

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The equation for this object's height h at time t seconds after launch is,

⇒ h(t) = -16(t)² + 80t

Now, The function is shown a Quadratic equation.

Hence, The domain of the function h(t) = -16(t)² + 80t is,

⇒ (- ∞, ∞)

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The cost of the wings per dollar is 1.2 wings per dollar ($15 / 18 wings = $0.83 per wing). The cost of 18 wings is $15. To calculate the cost of the wings per dollar, divide the total cost of the wings ($15) by the number of wings (18).

1. Divide the total cost of the wings ($15) by the number of wings (18).

2. The result of this calculation is the cost of each wing ($15 / 18 = $0.83).

3. Divide 1 by the cost of each wing ($1 / $0.83 = 1.2 wings per dollar).

The cost of 18 wings is $15. To calculate the cost of the wings per dollar, divide the total cost of the wings ($15) by the number of wings (18). This calculation will give the cost of each wing ($15 / 18 = $0.83). To find the number of wings per dollar, divide 1 by the cost of each wing ($1 / $0.83 = 1.2 wings per dollar). This means that for every dollar spent, 1.2 wings can be purchased.

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The original length is 250 meters and the scale drawing width is 0.67 cm

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

Scale length = 0.5 meters

So, we have

Original length = 0.5/(1/500)

Evaluate

Original length = 250

This means that the original length is 250 meters

Here, we have

Scale drawing width = 335 cm * 1/500

Scale drawing width = 0.67 cm

Hence, the scale drawing width is 0.67 cm

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Answer:

2048

Step-by-step explanation:

Find out what [tex]16^{3}[/tex] is:

16x16x16 =

4096.

Now lets divide it by 2:

4096/2 =

2048.

2048 would be your answer to your problem.

The expression represents the :

40% of 118 = Answer - Regular price

The sale price is = $70.8

Now, According to the question:

"Information available from the question"

The regular price is $118,

but the online store is having a 40% off sale.

To find the sale price.

Now, 40% of 118 = 47.2

And the sale price will be:

$118 - $47.2

= 70.8

The expression represents the :

40% of 118 = Answer - Regular price

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Answer:

18 years old

Step-by-step explanation:

H=17- A/

H=8hours

8=17- A/

-9=- A/

A=18years

Answer:

C

Step-by-step explanation:

not D because B is better than D. not A, still expencive. C is the most reasonable for getting $200 off. unless total is over $600.

Answer:A Store A: Buy 3 tires and get the 4th tire free

Step-by-step explanation:its A

The value of x from the given proportion is given as x = 10 after scalling both side of the equation.

A ratio is a divisional comparison of two quantities, and a proportion is the equality of two ratios. A ratio is often read as "x is to y" but may also be written as "x: y" or "x/y." The proportion equation, on the other hand, states that two ratios are equal.

The equality of two ratios is referred to as proportion. There is never a difference between two comparable ratios. The ratio sign (::) is used to express proportions, which aid in solving problems with ambiguous amounts. To put it another way, a percentage is an equation or a claim that shows the equality of two ratios or fractions. If a: b = c: d, then four non-zero values, a, b, c, are said to be in proportion. Let's now compare the two ratios, 3:5 and 15:25. In this case, 3:5 and 15:25 may both be written as 3:5 = 3/5 and 0.6, respectively. We may argue that these two ratios are proportionate because they are both equal.

There are two types of proportions :

The proportion is given by ,

x/12 = 15/18

⇒ multipling both side with 12 we get ,

x = (12*15)/18

⇒ x = 5 * 2 = 10

The value of x from the given proportion is given as x = 10.

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The value of x from the given proportion is given as x = 10 after scalling both side of the equation.

What is meant by equation?

There are two types of proportions :

==>Direct Proportion

==>Inverse Proportion

The proportion is given by ,

x/12 = 15/18

⇒ multipling both side with 12 we get ,

x = (12*15)/18

⇒ x = 5 * 2 = 10

The value of x from the given proportion is given as x = 10.

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The width of the leftover brass is 18 1/2 inches.

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

Initial length = 36 inches

Length of each piece = 8 3/4 inches

The width of the leftover brass is then calculated as

Width = Initial length - 2 * Length of each piece

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

Width = 36 - 2 * (8 3/4)

Evaluate

Width = 18 1/2

hence, the width is 18 1/2 inches

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The required simple interest would be the amount of 1,170€ on a 4500€ principal deposited for four years at a rate of 6.5%

We have been given data as:

Principal (P) = 4500€

Rate of Interest (R) = 6.5% = 6.5/100 = 0.065

Time (T) = 4 years

⇒ Simple interest  = P × R × T

Substitute the value of P, R, and T in the above formula,

⇒ Simple interest  = 4500 × 6.5% × 4

⇒ Simple interest  = 4500 × 6.5/100 × 4

⇒ Simple interest  = 4500 × 0.065 × 4

Apply the multiplication operation, and we get

⇒ Simple interest  = 1,170€

Therefore, the required simple interest would be the amount of 1,170€.

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Yes, 3 apple pies divided among 5 people

Now, According to the question:

"Information available from the question"

Apple shared equally

Portion of each person = 3/5

A possible way that shows how the pies were shared.

7/5 is the ration of the pie to each individual (Jerry and his friends).

Provided that each individual got equal ration....

The ration can be divided into two

The numerator = 3

The denominator = 5.

The numerator shows the number of things that were shared.

Hence, 3 apples were shared.

The denominator shows the number of people involved.

Hence, 5 people were involved.

So, we can conclude that 3 apples were divided among 5 people.

Hence, 3 apple pies divided among 5 people.

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The measure of x is 105° and the measure of y is 45°.

A square is a quadrilateral with four equal sides. There are many objects around us that are in the shape of a square. Each square shape is identified by its equal sides and its interior angles that are equal to 90°.

The given quadrilateral is square.

The diagonals of a square are angle bisectors. Therefore, the diagonals split the right angles of the square into two 45° angles.

Here, y°=45°

Here, a+60° =180°

a=120°

In quadrilateral y°+x°+a°+90°=360°

45°+x°+120°+90°=360°

x°+255°=360°

x°=105°

Therefore, the measure of x is 105° and the measure of y is 45°.

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Answer:

Third choice: (1, -3); (2, 2); (3, 7)

Step-by-step explanation:

There are two ways to solve this

The easiest way to solve this is to understand that the inverse of a function f(x), denoted by f⁻¹(x) is nothing but a reflection of the function about the line y = x

What that means is that if (x, y) is a specific point on the line, then the inverse point will be (y, x). Basically we are swapping the x, y values

The 3 points on f(x) and the corresponding points on f⁻¹(x) are given below:

f(x)                f⁻¹(x)
------             --------
(-3, 1)             (1, -3)
(2, 2)             (2, 2)
(7, 3)             (3, 7)

From the options given we see that the 3rd choice gives the correct values

So answer:
Third choice: (1, -3); (2, 2); (3, 7)

I have not taken the trouble of finding the equation for the line and finding the inverse of that equation since it is not needed in this question

A graph is said to represent a function if a vertical line drawn anywhere on the graph of a relation only intersects the graph once by  Slope of 3.75b + 5: 3.75

Example:

F(b) = 3.75b + 25

Axis interception points of 3.75b + 25:

X intercepts :(-20/3).

Y intercepts :(0.25)

Slope of 3.75b + 5:

3.75.

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The steps for adding and subtracting fractions with whole numbers:

- Write the whole number in the form of a fraction.

- Convert the fractions to like fractions.

- Add/Subtract the numerators while the denominator remains the same.

We know that the fraction is used to represent the portion or part of the whole thing.

The fraction has two parts: numerator and denominator.

The top part of fraction is numerator and the bottom part of fraction is denominator.

consider a fraction 1/8.

Here, numerator is 1, denominator is 8

When certain thing is divided into 8 equal parts then each part of is represented by fraction1/8

In case of adding and subtracting fractions with whole numbers:

Let us assume that 'a' represents the whole number and [tex]\frac{x}{y}[/tex] be fraction

First we write the whole number in the form of a fraction.

So, a = [tex]a = \frac{a}{1}[/tex]

Now we find the LCM of the denominators of fractions [tex]\frac{a}{1} ,\frac{x}{y}[/tex] and then convert the given fractions to like fractions.

Let m be the LCM of the denominators of fractions [tex]\frac{a}{1} ,\frac{x}{y}[/tex]

So, the fractions becomes  [tex]\frac{a}{m} ,\frac{x}{m}[/tex]

Last we Add/Subtract the numerators while the denominator remains the same.

i.e., [tex]\frac{a\pm x}{m}[/tex]

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The complete question is:

How to add /subtract fractions with whole numbers?

There was a 125% change in the price of the house.

The answer can be deduced to be above 100% because the revised price represented an increase from the initial 100,000.

Tom's house cost $100000 in the year 2000.

In 2008 he sold his house for $125000.

Whatever the case, in order to solve this problem,

you must divide 100,000 by 125,000 to discover the answer. 125,000/100,000=1.25.

Then 1.25 can be converted to 125%.

So, There was a 125% change in the price of the house.

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The best interpretation of 14.2 as shown in the equation above is the constant acceleration of the airplane.

A particle's acceleration is the rate at which its velocity changes over time. The term "constant acceleration" refers to the rate at which a particle's velocity changes. When acceleration is constant, the rate of change in velocity is also constant. In the absence of any acceleration, velocity remains constant.

When acceleration is positive, velocity becomes more significant. Acceleration causes a decrease in velocity. The value 14.2 in the equation above represents the constant acceleration of the airplane in meters per second squared (m/s^2). It is the rate at which the velocity of the airplane is changing with respect to time.

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(a) The number of beats she have in 2.0 years is 7.6 × [tex]10^7[/tex].

(b) The number of beats she have in 2.00 years is 7.57 × [tex]10^7[/tex].

(c) The number of beats she have in 2.000 years is 7.574 × [tex]10^7[/tex].

In the question, a typical person has an average heart rate of 73.0 beats/min.

(a) We have to determine number of beats she have in 2.0 years.

This is a rounding off issue. Pay attention to the fact that 72.0 has three important figures, 2.0 has two, 2.00 has three, and 2.000 has four.

Conversion of 72 beats per minute to beats per year.

72 beats/min = [tex]\left(\frac{1 \text{ min}}{72.0 \text{ beats}}\right)\times\left(\frac{1.00 \text{ hr}}{60.0 \text{ min}}\right)\times\left(\frac{1.00 \text{ day}}{24.0 \text{ hr}}\right)\times\left(\frac{1 \text{ year}}{365.25 \text{ days}}\right)[/tex]

Now simplify

72 beats/min = 3.7869×[tex]10^7[/tex] beats/year

The average person's heart beats in two years are

= 3.7869 × [tex]10^7[/tex] beats/year × 2 years

= 7.5738 × [tex]10^7[/tex] beats

The answer is only two significant digits, or 2.0. The response is 7.6 × [tex]10^7[/tex] beats.

(b) We have to determine number of beats she have in 2.00 years.

The answer is three significant digits, or 2.00. The response is 7.57 × [tex]10^7[/tex] beats.

(c) We have to determine number of beats she have in 2.000 years.

The answer is 4 significant digits, or 2.0. The response is 7.574 × [tex]10^7[/tex] beats.

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Answer:

Step-by-step explanation:

dedede duehdueheuhd it a

F(m(v)) = 3,600 v composite function can be used to find the force of the object based on its volume. So the option d is correct.

We have to determine which composite function can be used to find the force of the object based on its volume.

The density of titanium is 4. 5 g/cm^3.

A titanium object is accelerating at a rate of 800 cm/s^2.

The mass of the object can be modeled by the function m(v) = 4.5v, where v is the volume in cubic centimeters.

The force of the object can be found using the function F(m) = 800m.

F(m(v)) = 800 × 4.5 v

F(m(v)) = 3600 v

As a result, the function that can be utilized to simulate the force depending on volume is 3600 v.

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The amounts of each solution are given as follows:

The amounts are obtained solving a system of equations, for which the variables are given as follows:

Joel needs to make 200 milliliters, hence:

x + y = 200.

x = 200 - y.

The rate is of 35%, hence:

0.15x + 0.55y = 0.35 x 200

0.15x + 0.55y = 70.

The solution for y is given as follows:

0.15(200 - y) + 0.55y = 70

0.4y = 40

y = 40/0.4

y = 100.

The solution for x is given as follows:

x = 200 - y

x = 100.

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