Students attending a certain university can select from 120 major areas of study. A student's major is identified in the registrar's records with a two-or three-letter code (for example, statistics majors are identified by STA, math majors by MS). Some students opt for a double major and complete the requirements for both of the major areas before graduation. The registrar was asked to consider assigning these double majors a distinct two- or three-letter code so that they could be identified through the student records’ system. What is the maximum number of possible double majors available to University of Florida students?

The ratio of 50 hours to 30 hours is 1.33 hours.

What is ratio ?

ratio can be defined as the given value divided by the total value, called as the ratio.

Given ,

To find the ratio of 50 hours to 30 hours

let ratio of x to y is x/ y

similarly,

ratio = 50/30

ratio = 5/3

ratio = 1.33 hours.

in terms of minutes it is = (5/3) * 60

number of minutes = 100 minutes

so the ratio of 50 hours to 30 hours in terms of minutes = 100 minutes

Hence, The ratio of 50 hours to 30 hours is 1.33 hours.

To learn more about ratio from the given link.

brainly.com/question/29192438

#SPJ1

Answer:

$8.96

Step-by-step explanation:

To find the total amount, multiply the percentage of the tip (20%) as 0.20 with 7.47

(7.47×0.20=1.494)

Add $1.49 to $7.47

(1.49+7.47=8.96)

And there is your total amount with a 20% tip!

$8.96

Answer:

Chau served 63 orders.

Elsa served 16 orders.

Felipe served 21 orders.

Step-by-step explanation:

Given information:

Define the variables:

Create a system of equations from the given information and defined variables:

\(\begin{cases}e+c+f=100\\c=3f\\e=f-5\end{cases}\)

Substitute the second and third equations into the first equation and solve for f:

\(\implies e+c+f=100\)

\(\implies (f-5)+3f+f=100\)

\(\implies 5f-5=100\)

\(\implies 5f=105\)

\(\implies f=21\)

Substitute the found value of f into the second equation and solve for c:

\(\implies c=3f\)

\(\implies c=3(21)\)

\(\implies c=63\)

Substitute the found value of f into the third equation and solve for e:

\(\implies e=f-5\)

\(\implies e=21-5\)

\(\implies e=16\)

Therefore:

Let us assume that,

→ Elsa = x

→ Felipe = x + 5

→ Chau = 3x + 15

Now the required value of x,

→ x + x + 5 + 3x + 15 = 100

→ 5x + 20 = 100

→ 5x = 100 - 20

→ x = 80/5

→ [ x = 16 ]

Then the orders each serve is,

→ Elsa = x = 16

→ Felipe = x + 5 = 16 + 5 = 21

→ Chau = 3x + 15 = 48 + 15 = 63

Hence, the above one is correct.

The length of line segment AB is 5 units.To find the length of line segment AB, we can use the distance formula, which is based on the Pythagorean theorem.

The distance formula calculates the distance between two points (x1, y1) and (x2, y2) in a coordinate plane.

Let's calculate the length of AB using the given coordinates for points A and B:

Coordinates of point A: A = (4, -5)

Coordinates of point B: B = (7, -9)

The distance formula is given by:

\(d = [(x2 - x1)^2 + (y2 - y1)^2]\)

Substituting the coordinates of A and B into the formula:

\(d = [(7 - 4)^2 + (-9 - (-5))^2]\\d =[(3)^2 + (-4)^2]\)

d = √[9 + 16]

d = √25

d = 5

Therefore, the length of line segment AB is 5 units.

The distance formula calculates the straight-line distance between two points in a two-dimensional space. In this case, it determines the distance between points A and B in the coordinate plane. By applying the formula and substituting the given coordinates, we find that the length of AB is 5 units.

For more such questions on distance formula.

https://brainly.com/question/661229

#SPJ8

Answer:

8.1 * 10^-2

Step-by-step explanation:

Scientific notation is a number with it's largest digit in the one's place and its succeeding digits following it as decimals, then multiplied by a power of ten.

Appling this knowledge to the given number, we can conclude:

0.0810

= 0.081

= 8.1 * (1/10) * (1/10)

=  8.1 * 10^-1 * 10^-1

=9.1 * 10^-2

Answer:

6

Step-by-step explanation:

the rest are boys

Step-by-step explanation:

a rectangle which has a length which was three times the width could be

3 x 9 - this would give a total of just 27 feet.....so we know its bigger than this.....but essentially this starting place puts us in the right ballpark

following on from this....

if we do.....3.11 x 9.33 - this gives us 29.0163

and we have a rectangle which meets the criteria

Answer:

1,511 cm²

Step-by-step explanation:

      We will find the surface area, but not include the top.

      This means we will have five sides to calculate for, see attached.     Please note that the area of a rectangle can be found with A = L * W

[1] 19 cm * 10 cm = 190 cm²

[2] 19 cm * 10 cm = 190 cm²

[3] 29 cm * 10 cm = 290 cm²

[4] 29 cm * 10 cm = 290 cm²

[5] 19 cm * 29 cm = 551 cm²

    Add them all together:

190 cm² + 190 cm² + 290 cm² + 290 cm² + 551 cm² = 1,511 cm²

Answer:the answer is B ,

Step-by-step explanation: just took the test .

The answer is:

(x - 3)(2x + 9)

Work/explanation:

Since (x-3) appears in both terms, we move it to the first place:

(x - 3)

We need to have another term; for that other term, we take what's left, and put that as our other term.

As a result, we have:

(x - 3)(2x + 9)

Hence, this is the answer.

Answer:

I'm assuming that the answer is -10

Step-by-step explanation:

Because you are being asked to subtract a negative, the two negative signs cancel each other out to make the equation -35+25. So the answer is -10.

Answer:

-1/5 im right hope all of you have a wonderful day

Step-by-step explanation:

The choice that had statements that are all true is (a) Point B = -2 1/2, Point D = 1 3/4 and 1 3/4 > -2 1/2

The complete question is added as an attachment

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

The number line

On the number line, we have the following

A = -4

B = -2 1/2

C = 1

D = 1 3/4

When the above values are compared with the list of options, we have

Option (A) = true

This is so because in (a)

Point B = -2 1/2, Point D = 1 3/4 and 1 3/4 > -2 1/2

Read more about number line at

https://brainly.com/question/24644930

#SPJ1

The amount of money she started with is $5750

The given parameters are:

Interest = $115

Rate = 3%

Time = 8 months

The amount she start with (P) is calculated using:

P = I/(RT/12)

This gives

P = 115/(3% * 8/12)

Evaluate the product

P = 115/(0.02)

Divide

P = 5750

Hence, the amount of money she started with is $5750

Read more about simple interest at:

https://brainly.com/question/25845758

#SPJ1

The value of the inverse function f-¹ (3) is (e) 11

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

f(x) = x - 8

To calculate the inverse value at f-¹ (3)

We set the value to 3

using the above as a guide, we have the following:

x - 8 = 3

Evaluate the like terms

x = 11

Hence, the value of the inverse function is (e) 11

Read more about  inverse function at

https://brainly.com/question/3831584

#SPJ1

Complete question

if f(x) = x - 8, what is the value of f-¹ (3)?

Answer:

false

Step-by-step explanation:

Sofia is wrong; 1/3 · 1/3 · 1/3 · 1/3 = 11/12.

Answer:

Step-by-step explanation:

x = y/7

y-x =  18

y - y/7 = 18

(6/7)y = 18

y = 21

x = y/7 = 3

Answer:

C

Step-by-step explanation:

The quadratic regression equation that fits these data is \(\rm y=2.13x^2+0.13x+6.39\).

A quadratic regression is the process of finding the equation of the parabola that best fits a set of data.

The quadratic regression equation that fits these data is;

\(\rm y=2.13x^2+0.13x+6.39\)

Check for the values of x and y;

When the value of x = -4 the value of y is;

\(\rm y=2.13x^2+0.13x+6.39\\\\x=-4\\\\\rm y=2.13(-4)^2+0.13(-4)+6.39\\\\y=34.13-0.52+6.39\\\\y=40\)

Hence, the quadratic regression equation that fits these data is \(\rm y=2.13x^2+0.13x+6.39\).

Learn more about quadratic equation here;

https://brainly.com/question/17018837

#SPJ2

Answer:

\(D) 7\)

Step-by-step explanation:

\(a^{2} -2b^{2}\)

\(a=5\)

\(b=3\)

\(\left(5\right)^2-2\left(3\right)^2\)

Calculate 5 to the power of 2 and get 25:-

\(25-2\times 3^{2}\)

Calculate 3 to the power of 2 to get 9 and then multiply 2 and 9 to get 18:-

\(25-18\)

\(=7\)

OAmalOHopeO

The relationship between two variables are proportional if their ratios are equivalent (taken from Khan Academy).

To determine whether or not a relationship is proportional, we can see if two given ratios are the same.

We're given:

These pieces of information are ratios. We can write them in the following format:

\(\dfrac{400\hspace{4}meters}{1.5\hspace{4}minutes}\) and \(\dfrac{800\hspace{4}meters}{3\hspace{4}minutes}\)

We can see if they're equivalent by finding a common denominator.

Multiply the first ratio by \(\dfrac{2}2\):

\(\dfrac{400\hspace{4}meters}{1.5\hspace{4}minutes}*\dfrac{2}{2}\\\\= \dfrac{800\hspace{4}meters}{3\hspace{4}minutes}\)

The ratios are equivalent. Therefore, the relationship between the number of meters Joe ran and the number of minutes he ran is proportional.

Yes, there is a proportional relationship.

The meaning of \(\( \mathbb{N}=\bigcap \left \{X:X inductive \right \}\) is that the set of natural numbers is the intersection of all inductive sets.

The set of natural numbers is inductive because it satisfies both of these conditions. The set is non-empty because it contains the number 1. And if x is a natural number, then x+1 is also a natural number.

In other words, a set is inductive if it satisfies the following two conditions:

The concept of an inductive set is important in mathematics because it allows us to define the set of natural numbers.

Find out more on inductive sets at https://brainly.com/question/30541157

#SPJ1

The required estimate of the area in square inches of the stove top that does not include the area of the burners is 415 square inches.

Surface area is defined as the measure of a region or surface is called as surface area.

The best estimate of the area of the stovetop that does not include the area of the burners can be obtained by subtracting the total area of the four burners from the total area of the stovetop.

The total area of the stove top is given by the product of its length and width:

Length = 24 inches

Width = 22 inches

Area = Length × Width = 24 × 22 = 528 square inches

The area of each burner is given by the formula for the area of a circle:

= π × (diameter/2)²,
where π is approximately equal to 3.14

Since the diameter of each burner is 6 inches, the radius of each burner is 6/2 = 3 inches.

Area of one burner = Pi × (3)² = 3.14 × 9 = 28.26 square inches

The total area of the four burners is 4 × 28.26 = 113 square

The area of the stove top = 528 - 113
                                       = 415 square inches.

Thus, the required estimate of the area in square inches of the stove top that does not include the area of the burners is 415 square inches.

Learn more about the surface area here:

https://brainly.com/question/2835293

#SPJ6

For the information given in the statement you have

Simplifying

Therefore, the fraction of boys in the class is

Answer:

What transaction occurs when an investor decides to liquidate assets?

A. buy

B. hold

(C. sell)

D. speculate

Step-by-step explanation:

I got a 5/5 on the test and i got the answer from a quizlet (:

Sell is the answer

The correct option is (C).

Given,

In the question:

What transaction occurs when an investor decides to liquidate assets?

Now, According to the question:

when an investor decides to liquidate assets.

when an investor decides to liquidate assets means he or she want to sell the property in the open market, in other words liquidate assets means

converting non- liquid assets into liquid assets.

In investing, liquidation occurs when an investor closes their position in an asset. Liquidating an asset is usually carried out when an investor or portfolio manager needs cash to re-allocate funds or rebalance a portfolio. An asset that is not performing well may also be partially or fully liquidated.

According to the statement

Therefore, Sell is the answer

The correct option is (C).

Learn more about Investor at:

https://brainly.com/question/14283683

#SPJ1

Answer:

2x^3-5x^2-28x+15 -------------------------expanded

2x^3-5x^2-28x+15--------------------simplified

Step-by-step explanation:

\left(2x-1\right)\left(x+3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

simplyfied

\left(2x^2+5x-3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

=2x^3-5x^2-28x+15

The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

Know more about the domain here:
https://brainly.com/question/30096754

#SPJ8

Answer:

the subtraction property of equality

Step-by-step explanation:

We use the "subtraction property of equality" to solve for the unknown in the equation:

c + 5 = 78

subtract 5 from both sides:

c + 5 - 5 = 78 - 5

c = 73

To find the integral we need to divide it according to the intervals that define the piece-wise function, then we have:

Now that we have divide the integral we plug the expressions that define it in the intervals:

Therefore, the integral is 327/10

1. When we simplify sec² x + tan² xsec² x, the result obtained is sec⁴x

2. When we simplify (sec² x - 1) / sin² x, the result obtained is sec² x

3. When we simplify (1/sec² x) + (1/csc² x), the result obtained is 1

4. When we simplify (sec x / sin x) - (sin x / cos x), the result obtained is cot x

5. When we simplify (1 + sin x)(1 - sin x), the result obtained is cos² x

6.  When we simplify cos x + sin xtan x, the result obtained is sec x

We can simplify the trig identities as follow:

1. Simplification of sec² x + tan² xsec² x

sec² x + tan² xsec² x = sec² x(1 + tan² x)

Recall

sec² x = 1 + tan² x

Thus,

sec² x(1 + tan² x) = sec² x × sec² x

sec² x(1 + tan² x) = sec⁴x

Therefore, the simplified is written as

sec² x + tan² xsec² x = sec⁴x

2. Simplification of (sec² x - 1) / sin² x

(sec² x - 1) / sin² x

Recall,

sec² x - 1 = tan² x

Thus,

(sec² x - 1) / sin² x = tan² x / sin² x

Recall

tan² x = sin² x / cos² x

Thus,

tan² x / sin² x = (sin² x / cos² x) / sin² x

tan² x / sin² x = 1/ cos² x

Recall

1/ cos² x = sec² x

Therefore, the simplified expression is written as:

(sec² x - 1) / sin² x = sec² x

3. Simplification of (1/sec² x) + (1/csc² x)

(1/sec² x) + (1/csc² x)

Recall

sec² x = 1/cos² x

Thus,

cos² x = 1/sec² x

Also,

csc² x = 1/sin² x

Thus,

sin² x = 1/csc² x

Therefore, we have

(1/sec² x) + (1/csc² x) = cos² x + sin² x

Recall

cos² x + sin² x = 1

Thus, the simplified expression of (1/sec² x) + (1/csc² x) is:

(1/sec² x) + (1/csc² x)  = 1

4. Simplification of (sec x / sin x) - (sin x / cos x)

(sec x / sin x) - (sin x / cos x) = (sec xcos x - sinx sinx) / sinx cos x

Recall

sec x = 1/cos x

sinx sinx = sin² x

Thus,

(sec x / sin x) - (sin x / cos x) = [(cos x/cos x) - sin² x] / sinx cos x

(sec x / sin x) - (sin x / cos x) = [1 - sin² x] / sinx cos x

Recall

1  - sin² x = cos² x

Thus, we have

[1 - sin² x] / sinx cos x = [cos² x] / sinx cos x

[1 - sin² x] / sinx cos x = cos x / sin x

Recall

cos x / sin x = cot x

Thus, the simplified expression of (sec x / sin x) - (sin x / cos x) is:

(sec x / sin x) - (sin x / cos x) = cot x

5. Simplification of (1 + sin x)(1 - sin x)

(1 + sin x)(1 - sin x)

Clear bracket

1 - sin x + sin x - sin² x

1 - sin² x

Recall

1 - sin² x = cos² x

Thus, we have

(1 + sin x)(1 - sin x) = cos² x

6. Simplification of cos x + sin xtan x

cos x + sin xtan x

Recall

tan x = sin x / cos x

cos x + sin xtan x = cos x + sin x (sin x / cos x)

cos x + sin xtan x = cos x + (sin² x / cos x)

cos x + sin xtan x = (cos² x + sin² x) / cos x

Recall

cos² x + sin² x = 1

cos x + sin xtan x = 1 / cos x

1/cos x = sec x

Thus,

cos x + sin xtan x = sec x

The simplified expression of cos x + sin xtan x is sec x

Learn more about simplification of trig:

https://brainly.com/question/31193285

#SPJ1

Answer:

  5/10

Step-by-step explanation:

An equivalent fraction will have the numerator and denominator multiplied by the same value.

The denominator of 2 must be multiplied by 5 to get a denominator of 10. Then the equivalent fraction is ...

  \(\dfrac{1}{2}=\dfrac{1}{2}\cdot\dfrac{5}{5}=\dfrac{1\cdot5}{2\cdot5}=\boxed{\dfrac{5}{10}}\)