If a quadrilateral does not have two pairs of opposite sides that are parallel, then it may be a _____. A. parallelogram B. rhombus C. trapezoid D. square E. rectangle

Answer:

[tex]1\frac{1}{4} \ cups \ of \ juice[/tex] ,[tex]2\frac{2}{3}\ cups \ of \ juice[/tex]

Step-by-step explanation:

Given:

Number of people in a group = 4

Each person gets cup of juice = [tex]\frac{1}{3}[/tex]

Question asked:

How much tomato juice is needed for a group of four people ?

How much tomato juice is needed if they each get 2/3 cup of juice ?

Solution:

Unitary method:

In case of each person gets [tex]\frac{1}{3}[/tex] up of juice.

1 person gets cup of juice = [tex]\frac{1}{3}[/tex]

4 persons gets cup of juice = [tex]\frac{1}{3} \times4=\frac{4}{3} =1\frac{1}{3} \ cup \ of\ juice[/tex]

Therefore, [tex]1\frac{1}{4} \ cups \ of \ juice[/tex] is needed for a group of four people.

In case of each person gets [tex]\frac{2}{3}[/tex] cup of juice.

1 person gets cup of juice = [tex]\frac{2}{3}[/tex]

4 persons gets cup of juice = [tex]\frac{2}{3}\times4=\frac{8}{3} =2\frac{2}{3} \ cups\ of \ juice[/tex]

Thus, [tex]2\frac{2}{3}[/tex] cups of tomato juice is needed if they each get [tex]\frac{2}{3}[/tex] cup of juice.

Final answer:

To compute the needed tomato juice for four people with varying cup quantities, multiply the cup amount by the number of people.

Explanation:

To find out how much tomato juice is needed for four people if each person gets 1/3 cup, you would multiply 1/3 cup by 4 people:

1/3 cup x 4 people = 4/3 = 1 1/3 cups of tomato juice

If each person gets 2/3 cup of juice, you would multiply 2/3 cup by 4 people:

2/3 cup x 4 people = 8/3 = 2 2/3 cups of tomato juice

The mode is 1. 1 shows up the most in the given data.

Answer: 1

Step-by-step explanation:

Answer:

Consider two representations. Representation A is abstract and bears no systematic relationship to what it represents, whereas Representation B shares some features of what it represents. Representation A is a **symbolic representation** and Representation B is an **analogical representation**.

Step-by-step explanation:

Symbolic representation as it sounds, uses visual symbols to represent variable/data. This form of representation doesn't need an explanation or a relationship between the symbol and what it is representing. There are numerous examples of these all over Mathematics and Physics. For example, Angular speed is represented by ω; there isn't a direct relationship between ω and angular speed. We have just come to accept that the symbol, ω, stands for angular speed.

Analogical representation hold some of the actual characteristics of what they represent. One can tell much about what is being represented just by looking at the analogical representation.

Pictures, graphs, Maps etc., are great examples of analogical representations.

Answer:

18.6 (C)

Step-by-step explanation:

(I am assuming) it is a parallelogram, meaning that  R to the center = 1/2 (QR).

9.3 *2=QR, meaning that 18.6 is the answer.

Answer:

The iron will need 10 amps

Step-by-step explanation:

The extension cord can support uptown 8 amps.

The iron has a 1200watts labelled on it

Converting watts to amps by dividing by 120 gives:

1200watts/120 =10 amps

The iron is 10amps

Answer: the area of the shaded region is 72.96 ft²

Step-by-step explanation:

The formula for determining the area of a circle is expressed as

Area = πr²

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Diameter of circle = 16 feet

Radius = diameter/2 = 16/2 = 8 feet

Area of circle = 3.14 × 8² = 200.96ft²

The sides of the square are equal. To determine the length of each side of the square, L, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

16² = L² + L²

256 = 2L²

L² = 256/2 = 128

L = √128 ft

Area of the square is

L² = (√128)²

Area = 128 ft²

Area of shaded region is

200.96 - 128 = 72.96 ft²

Answer:

The medical doctor prescribed 0.35 ml of insulin per day.

Step-by-step explanation:

To find out how many millimiters of insulin was prescribed we need to find out how many units we have to took. The doctor prescribed two does of 15 units and 20 units, so the total of units for the day is the sum of the two in this cas 15 + 20 = 35 units. Now we can use a proportion rule, if we have 100 units for 1 ml in 35 units we will have an x amount of ml:

x = 35/100 = 0.35 ml

The medical doctor prescribed 0.35 ml of insulin per day.

Step-by-step explanation:

Below is an attachment containing the solution

Answer:

41%

Step-by-step explanation:

Given the cash price is $500, the hire purchase price is calculated by summing the installment and down-payment:

[tex]Hire \ Purchase \ Price=Installments +Downpayments\\\\=8\times 72.50+125\\\\=705[/tex]

#Percentage increase in price is the difference between the hire purchase price and list price as a percentage of the list price:

[tex]\bigtriangleup Price=705-500\\\\=205\\\\\%\bigtriangleup Price=\frac{\bigtriangleup Price}{500}\times 100\%\\\\\\=\frac{205}{500}\times100\%\\\\=41\%[/tex]

Hence, the % increase in price is 41%

Answer: option c

Step-by-step explanation: Qualitative research consist in observing some variables and obtaining information. Usually the qualitative researc does not involve the manipulation of independent variables, these tipes of researches focuses more in collecting "answers" in groups of people, and making staistics with those answers or information. So the variables are not manipulated, and the correct answer is the option c

Answer: option d. Both a and b

Step-by-step explanation:

Qualitative research is a type of social science research that collects and works with non-numerical data and that seeks to interpret meaning from these data that help understand social life through the study of targeted populations or places.

Answer:

P[X=3,Y=3] = 0.0416

Step-by-step explanation:

Solution:

- X is the RV denoting the no. of customers in line.

- Y is the sum of Customers C.

- Where no. of Customers C's to be summed is equal to the X value.

- Since both events are independent we have:

                         P[X=3,Y=3] = P[X=3]*P[Y=3/X=3]

              P[X=3].P[Y=3/X=3] = P[X=3]*P[C1+C2+C3=3/X=3]

        P[X=3]*P[C1+C2+C3=3/X=3] = P[X=3]*P[C1=1,C2=1,C3=1]        

              P[X=3]*P[C1=1,C2=1,C3=1]  = P[X=3]*(P[C=1]^3)

- Thus, we have:

                        P[X=3,Y=3] = P[X=3]*(P[C=1]^3) = 0.25*(0.55)^3

                        P[X=3,Y=3] = 0.0416

Answer:

y = 7 csc(½ x) − 2

Step-by-step explanation:

General form of a cosecant function is:

y = A csc(2π/T x + B) + C

where A is the amplitude, T is the period, B is the horizontal offset ("phase shift"), and C is the vertical offset ("midline").

The range is (-∞, -9] [5, ∞), so the midline is halfway between -9 and 5.

C = (-9 + 5) / 2

C = -2

The amplitude is half the difference between -9 and 5.

A = |-9 − 5| / 2

A = 7

The period is twice the distance between consecutive asymptotes.

T = 2 (2π − 0)

T = 4π

So far, we have:

y = 7 csc(½ x + B) − 2

We know there is an asymptote at x = 0.  Cosecant is undefined at multiples of π, so:

½ (0) + B = kπ

B = kπ

B is any multiple of π.  The simplest choice is B = 0.

y = 7 csc(½ x) − 2

The question provided is incomplete, here is the complete question content from google

December 26 *Received all the goods that Waren authorized Eastern Wisonsin University to return on EWU's return request No. R8034 for credit against their account balance. **Process and record the sales return now. December 26 * Receive check No. 49326 for $10,000 for Eastern Wisconsin University in partial payment of the remaining amount (after sales return) on charge invoice No. 729, and deposited the check. **Do not finalize a deposit slip until you determine whether there are no other cash receipts on the same day. After entering the partial payment for invoice #729 with check 49326, where else am I suppose to post to? With the check from EWU, would you post this in the Cash Disburstments Journal?

Answer:

No. When goods are returned, it is termed as sales return and when the check has been collected as partial payment, it is recorded in cash receipt journal and not in cash Disbursements Journal.

Step-by-step explanation:

When goods are returned, it is termed as sales return and when the check has been collected as partial payment, it is recorded in cash receipt journal and not in cash Disbursements Journal.

In cash disbursement journal, transactions are recorded as related to payments made while in cash Receipt Journal ,transactions are recorded  when the money has been received.

The question refers to a business transaction scenario wherein goods authorized by Waren for return by Eastern Wisconsin University (EWU) have been received. This event will result in a credit against EWU's account balance with Waren, marked by return request No. R8034.

The scenario mentioned refers to a business transaction between two entities, Waren and Eastern Wisconsin University (EWU). In this situation, EWU is returning goods back to Waren, which have been authorized by the latter. Following successfully receiving the goods, Waren would credit the account balance of EWU, essentially setting off the monetary value of the returned goods against any debt that EWU might owe Waren. This is a common practice in various business transactions and is known as Returns against credit.

The return request No. R8034 specifically identifies this transaction, enabling the parties involved to keep track of their exchanges and to effectively manage their financials.

https://brainly.com/question/15022105

#SPJ11

Answer:

  see below

Step-by-step explanation:

When a line goes through the origin, it expresses a proportional relationship such that for every point on the line ...

  y/x = constant

The graph shows points (-5, 4) and (5, -4) as being on the line. So, we can determine the constant to be ...

  constant = (y-value)/(x-value) = -4/5 . . . . . using point K

Then the proportion can be written as ...

  y/x = -4/5

Multiplying both sides of this equation by -1 lets us also write the same relation as ...

  -y/x = 4/5 . . . . matches the 2nd answer choice

The expression [tex]\(24x + 36y\)[/tex] represents the total cost of Coach Martinez's order for 12 team members, where [tex]\(x\)[/tex] is the cost of each pair of shorts and [tex]\(y\)[/tex] is the cost of each shirt.

The total cost [tex](\(C\))[/tex] of Coach Martinez's order can be represented by the expression:

[tex]\[ C = \text{Cost of shorts} + \text{Cost of shirts} \][/tex]

Since Coach Martinez is ordering 2 pairs of shorts and 3 shirts for each player, and there are 12 members on the team, the expression for the total cost is:

[tex]\[ C = 12 \cdot (2x) + 12 \cdot (3y) \][/tex]

Simplify this expression to get the total cost:

[tex]\[ C = 24x + 36y \][/tex]

Therefore, the expression [tex]\(24x + 36y\)[/tex] represents the total cost of Coach Martinez's order for 12 team members, where [tex]\(x\)[/tex] is the cost of each pair of shorts and [tex]\(y\)[/tex] is the cost of each shirt.

Final answer:

An appeal to authority is using an expert's statement to support a conclusion, which is valid when the statement is within the expert's field. The authority should be able to provide support for the claim, and the appeal should not be based on the authority's position alone. The fallacy of false authority arises when an individual is not actually an expert in the subject matter they are discussing.

Explanation:

The term appeal to authority or argumentum ad verecundiam involves using the statement of an expert to support a conclusion. However, not every appeal to an authority is valid. A key point is that the statement must fall within the expert's range of expertise. For example, a Nobel Laureate in Economics would not be a qualified authority on medical issues unless their advice pertains to economic factors of medicine.

An argument from authority becomes fallacious when the cited authority is not an expert in the relevant field. Moreover, the authority's position should not be the sole foundation for a conclusion; the authority must be able to provide independent support for the conclusion. When an appeal to authority is appropriate, it means that the person being cited is a recognized expert and is knowledgeable and credible in the area under discussion, such as a doctor when it comes to medical issues or a lawyer in legal matters.

Answer:

[tex]a_1 = 5,\\a_n =4 a_{n-1}[/tex]

Step-by-step explanation:

The first term of the geometric sequence is

[tex]a_1 =5[/tex].

The common ratio between the consecutive terms is

[tex]\dfrac{20}{5} = 4,[/tex]

[tex]\dfrac{80}{20} = 4;[/tex]

therefore, we see that the nth term is found by

[tex]a_n =4 a_{n-1}[/tex]

Thus, the recursive formula for the geometric sequence is

[tex]a_1 = 5,\\a_n =4 a_{n-1}.[/tex]

The recursive formula for finding the nth term of a geometric sequence is a_n = a_1 * r^(n-1), where a_n represents the nth term, a_1 is the first term, and r is the common ratio. In this case, the given sequence is 5, 20, 80. The recursive formula for this sequence is a_1 = 5 and a_n = 4 * a_(n-1).

The recursive formula for finding the nth term of a geometric sequence is given by: an = a1 * r(n-1) where an represents the nth term, a1 is the first term, and r is the common ratio. In this case, the given sequence is 5, 20, 80, ...

Since the first term is 5, and the common ratio between terms is 4, the recursive formula for this sequence is: a1 = 5 and an = 4 * an-1.

Answer:

Identity; conditional

Explanation:

Identity functions are functions that returns the SAME value which was used in its argument. In this case, f(x) = g(x). Therefore f(x) = g(x) = x.

Conditional functions are conditions that evaluates the condition and returns DIFFERENT values all depending on the condition value. That is, in this case, f(x) is not equal to g(x) for every x domain.

So, while identity functions returns the same value, conditional functions returns different functions.

Final answer:

An equation where f(x) equals g(x) for every x in the domain is an identity equation; otherwise, it's a conditional equation. For f(x) = x² and g(s) = s², they are the same function. Function f can be expressed in terms of y if g is invertible.

Explanation:

If f(x) equals g(x) for every x in the domain, the equation is called an identity. Otherwise, it is called a conditional equation.

For the given functions f(x) = x² and g(s) = s², we can see that they are indeed the same function, as they both satisfy the vertical-line test and map every x in the domain to a unique y in the range.

In the context of variable transformations, if y = g(x) defines a transformation from x to y, we could describe function f(x) in terms of the variable y only if there is a way to express x in terms of y. If g is invertible, then we can write f as a function of y by finding g⁻¹(y) and then applying f to it, yielding f(g⁻¹(y)).

Answer:

Therefore the dimensions of the fence 24 feet by 10 feet.

Step-by-step explanation:

Rectangle

Given

The perimeter of the fence is 68 feet

The area of the rectangular yard is 240 square feet

Let the length be x feet and breadth is y feet

According to the problem,

2(length+breadth)=68

⇒2(x+y)=68

⇒[tex](x+y)=\frac{68}{2}[/tex]

[tex]\Rightarrow x+y=34[/tex] .......(1)

The area of the rectangular is

length×breadth=240

⇒x×y=240

[tex]\Rightarrow x=\frac{240}{y}[/tex]

Putting the value x in the equation

[tex]\frac{240}{y}+y=34[/tex]

[tex]\Rightarrow \frac{240+y^2}{y}=34[/tex]

[tex]\Rightarrow 240+y^2=34y[/tex]

⇒y²-34y+240=0

⇒y²-24y-10y+240=0

⇒y(y-24)-10(y-24)=0

⇒(y-24)(y-10)=0

⇒y=24,10

When, y=24

[tex]x=\frac{240}{24}=10[/tex]

When y=10

[tex]x=\frac{240}{10}[/tex] =24

Therefore the dimensions of the fence 24 feet by 10 feet.

Answer:

h(3) = 7

h'(3) = 15/7

Step-by-step explanation:

h(3) = f(g(3)) = f(5(3²)+4)

h(3) = f(49)

h(3) = 7

h(x) = (5x² + 4)^½

h'(x) = ½[(5x² + 4)^-½] × 10x

h'(x) = 5x[(5x² + 4)^-½]

h'(3) = 5(3)/7 = 15/7

Answer:

Vol=[tex]450,000m^3[/tex]

Step-by-step explanation:

Volume of rectangular prism is obtained using the formula:

[tex]V=whl\\w-width\\h-height\\l-length[/tex]

Dimensions of shipping containers is given as:

[tex]w=2.5m\\h=2.5m\\l=6m\\[/tex]

To obtain the volume of the cargo ship, we need to calculate the volume of 1 unit of a shipping container then multiply it by the number of containers the ship can carry.

let n be the number of containers ship can carry.

[tex]V_c=whl\\V_c=2.5m\times2.5m\times6m\\V_c=37.5m^3\\[/tex]

Volume of ship,[tex]V_s[/tex]

[tex]V_s=nV_c[/tex]

But n=12000

[tex]V_s=12000\times37.5m^3\\=450,000m^3[/tex]

Answer:

Step-by-step explanation:

Let x represent the pounds of walnuts used in the mixture. He wants to mix the pecans and walnuts together to form a 90 pound mixture. This means that the pounds of Pecans in the mixture is (90 - x)

The grocer bought some walnuts for 45¢ per pound and some pecans for 60¢ per pound. If the mixture would sell at 55 cents per pound, The expression representing the total cost of the pecans used in the mixture is

45x + 60(90 - x) = 55(90)

45x + 60(90 - x) = 4950

Answer: P(x≥4) = 0.337

Step-by-step explanation: p = probability of getting head = 0.6, probability of not getting head = q = 1 - 0.6 =0.4

n = number of times experiment was performed = 5

We are to find

P(x≥4) = 1 - P(x≤3)

We can get the value of P(x≤3) using a cumulative binomial probability table.

P(x≤3) = 0.663

P(x≥4) = 1 - 0.663

P(x≥4) = 0.337

Answer:

Step-by-step explanation:

given that in a round robin tennis tournament, each player plays every other player exactly once.

Suppose there are two players i.e. n=2, we have only one match satisfies

[tex]\frac{2(2-1)}{2} =1[/tex]

Hence P(2) is true

Assume P(k) is true.  For k players no of matches played

= [tex]\frac{k(k-1)}{2}[/tex]

To prove true for n = k+1

If to k players one new player is introduced, then the new player should play all the k players to have the condition satisfied

i.e. no of matches = no for k players + k

= [tex]\frac{k(k-1)}{2} +k\\= \frac{k^2-k+2k}{2} \\= \frac{(k+1)k}{2}[/tex]

So if true for n =k, then true for n =k+1

Already true for n =2

By induction true for all natural numbers starting from 2.

Answer:

x = 7, y = 27

Step-by-step explanation:

The triangles are equilateral triangles.  So all sides are equal, and all angles are equal (60°).

Setting sides equal:

x + 4 = 2x − 3

7 = x

Setting the angle to 60°:

2y + 6 = 60

2y = 54

y = 27

Answer:

The vertex is the point (6,-31)

Step-by-step explanation:

we have

[tex]f(x)=x^2-12x+5[/tex]

This is a vertical parabola open upward

The vertex represent a minimum

Convert to vertex form

Complete the square

[tex]f(x)=(x^2-12x+6^2)+5-6^2[/tex]

[tex]f(x)=(x^2-12x+36)-31[/tex]

Rewrite as perfect squares

[tex]f(x)=(x-6)^2-31[/tex] -----> equation in vertex form

therefore

The vertex is the point (6,-31)

Answer:

The answer to your question is 224 π in³

Step-by-step explanation:

Data

Cylinder                      Cone

height = 12 in              height = 6 in

radius = 4 in                radius = 4 in

Volume = x                 Volume = y

Process

1.- Calculate the volume of the Cylinder

V = πr²h

V =  π (4)²(12)

V =  π(16)(12)

V = 192 π

2.- Calculate the volume of the Cone

V = 1/3  πr²h

V = 1/3  π(4)²(6)

V = 1/3  π(16)(6)

V = 96/3  π

V = 32 π

3.- Calculate the volume of the head

Volume = 192 π + 32 π

Volume = 224 π in³

Answer:

The answer to your question is 224 π in³

Step-by-step explanation:

Answer:

Rank (in order of decreasing strength):

HZ

HX

HY

Step-by-step explanation:

The Stronger the base the weaker its conjugate acid.

The strongest base is Y-, then the weakest conjugate acid is HY.

The weakest base is Z-, then the strongest conjugate acid is HZ.

Between them is the pair composed by X- and HX

Answer:

7

Step-by-step explanation:

24/1/3 -8/5/6- 8/1/2 (accorin to fractions la)

improper fraction make it into proper fraction

73/3- 53/6- 17/2 (change the base of 3 and 2 into 6)

146/6-53/6-51/6= (146-53-51)/6

= 7

Answer:

Step-by-step explanation:

you got to try your hardest

Answer:

The answer to the question is

If Boston is at D and C is 90 km away from Boston, then the two cars will meet at 30 km from Boston.

Step-by-step explanation:

Let the speed of the car that start from C = V₁

Let the speed of the car that start from D = V₂

Therefore where V₁ = 2·V₂

We have at time t when the cars meet the distance covered by the car that start from C will be V₁×t = 2·V₂×t, while the distance of the other car will be

V₂×t

Which means that the distance covered by the car that start from C is twice that of the car that start from D

Hence if Boston is located at D which is 90 km from C then both cars will meet at

90 km /3 = 30 km from Boston as the car originating from Boston would only have covered 30 km when the two cars meet.

Answer:

360 mg.

Step-by-step explanation:

The medicine has a decay rate of 40% in 25 hours, which means after 24 hours its amount will be 100% - 40% = 60% it's original value.

Let us call [tex]t[/tex] the number of hours passed and [tex]d[/tex] the number of 24-hours passed, then we know that

[tex]t = 24d[/tex].

Now, the amount [tex]c[/tex] of medicine left after time [tex]d[/tex] (dth 24-hour) will be

[tex]c = 1000(0.6)^d[/tex]

and since [tex]t =24d[/tex], we have

[tex]$\boxed{c = 1000(0.6)^{\frac{t}{24} }}$[/tex]

We now use this equation to find the final amount after [tex]t =48 hours[/tex]:

[tex]c = 1000(0.6)^{\frac{48}{24} }[/tex]

[tex]c = 1000(0.6)^2 }[/tex]

[tex]\boxed{c =360mg}[/tex]