What is the five-number summary for the data set? 73, 62, 90, 28, 45, 90

Answers

Answer 1

Answer:

it's easy

Step-by-step explanation:

first take a deep breath and then search it


Related Questions

A shoes delear net birr 8000 worth of shoes from a shoe company.Then,find the amount it is to pay including VAT

Answers

The total amount to pay would be 8800 Ethiopian Birr.

To find the amount to pay including VAT, we need to know the applicable VAT rate. VAT, or Value Added Tax, is a consumption tax added to the value of goods and services. The VAT rate can vary from country to country or even within different regions.

Assuming a VAT rate of 10%, we can calculate the VAT amount by multiplying the net value of the shoes by the VAT rate. In this case, the net value of the shoes is 8000 Ethiopian Birr. Therefore, the VAT amount would be 8000 * 0.10 = 800 Ethiopian Birr.

To find the total amount to pay including VAT, we add the VAT amount to the net value of the shoes. Thus, the total amount to pay would be 8000 + 800 = 8800 Ethiopian Birr.

It's important to note that the VAT rate and regulations can vary, so it's always advisable to check the specific VAT rate applicable in a given country or region. Additionally, different goods and services may have different VAT rates or exemptions, so it's crucial to consider the specific rules governing the shoe industry in the relevant jurisdiction.

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Ms. Florinda is a kindergarten teacher. She buys 100 pencils and wants to give 2 pencils to each of her students. She has 2 classes, a class with 22 students and a class with 19 students.

Part A
Write an expression for how many pencils she has left after giving them out to her students.

A.
100

2
×
(
22

19
)
B.
100

2
×
22

19
C.
100

2
×
22

2
×
19
D.
100

22

19
Part B
Does she have enough pencils to give each of her students 2?

Yes or no

, she has
15,18,37,59

More or fewer
than she needs.

Answers

Answer:

Part A:

The correct expression for how many pencils Ms. Florinda has left after giving them out to her students is:

A. 100 - 2 × (22 - 19)

Part B:

To determine whether Ms. Florinda has enough pencils to give each of her students 2, we can calculate the total number of pencils needed. The total number of students is the sum of the students in both classes, which is 22 + 19 = 41.

If each student needs 2 pencils, then the total number of pencils needed is 2 × 41 = 82.

Comparing this with the initial number of pencils Ms. Florinda bought (100), we can see that she has more than enough pencils to give each of her students 2.

Yes, she has enough pencils to give each of her students 2.

She has 18 more than she needs.

Is f(x)=-x3-x an odd function

Answers

The function f(x) = -x³ - x is an odd function.

Is the given function odd, even, or neither?

Given the function in the question:

f(x) = -x³ - x

To determine if a function is odd, we need to check if it satisfies the given property:

f(-x) = -f(x)

For all x in the domain of the function.

Given that:

f(x) = -x³ - x

Evaluate f(-x) for the given function f(x) = -x³ - x:

f(x) = -x³ - x

Replace x with -x

f(-x) = -(-x)³ - (-x)

f(-x) = -(-x³) + x

f(-x) = x³ + x

Now, check if -f(x) is equal to x³ + x:

-f(x) = -(-x³ - x)

-f(x) = x³ + x

Since -f(x) = x³ + x, f(x) = -x³ - x is an odd function.

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solve the following question

Answers

The decay constant for the plutonium is - [ln (0.5 ) / 6300].

option C.

What is the decay constant?

The decay constant for the plutonium is calculated by applying the following formula.

The given function for the radioactive decay;

[tex]Q(t) = Q_0e^{-kt}[/tex]

where;

Q(t) is the quantity remaining after a given timeQ₀ is the initial quantityk is the decay constantt is the time

The decay constant for the plutonium is calculated as;

k = ln(2) / T½

k = ln(2) / 6300

k = ln(0.5⁻¹) / 6300

k = - [ln (0.5 ) / 6300]

Thus, the decay constant for the plutonium is - [ln (0.5 ) / 6300].

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In circle F, FG = 2 and m/GFH = 120°
Find the area of shaded sector. Express your answer as a fraction times T.

Answers

Answer:

A = [tex]\frac{4}{3}[/tex] π

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

  = πr² × [tex]\frac{120}{360}[/tex] ( r is the radius of the circle )

here r = FG = 2 with central angle = 120° , then

A = π × 2² × [tex]\frac{1}{3}[/tex]

  = [tex]\frac{4}{3}[/tex] π

Amy bought a new car for $21,000
. She paid a 10%
down payment and financed the remaining balance for 36
months with an APR of 3.5%
. Determine the monthly payment that Amy pays. Round your answer to the nearest cent, if necessary.

Answers

Answer:

Step-by-step explanation:

To determine the monthly payment Amy pays, we can use the formula for calculating the monthly payment on a loan. The formula is:

M = (P * r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = Monthly payment

P = Principal amount (loan amount)

r = Monthly interest rate

n = Number of monthly payments

Given information:

Principal amount (loan amount) = $21,000

Down payment = 10% of $21,000 = $2,100

Remaining balance = $21,000 - $2,100 = $18,900

APR = 3.5%

Number of monthly payments (n) = 36

To calculate the monthly interest rate (r), we divide the annual interest rate by 12 (number of months in a year):

Monthly interest rate (r) = APR / (12 * 100)

Substituting the values into the formula:

r = 3.5 / (12 * 100) = 0.0029167 (rounded to 7 decimal places)

M = (18,900 * 0.0029167 * (1 + 0.0029167)^36) / ((1 + 0.0029167)^36 - 1)

Using a calculator to evaluate the expression within the formula:

M ≈ $539.26

Therefore, the monthly payment that Amy pays is approximately $539.26.

A village P is 12 km from village Q. It takes 3 hours 20 minutes to travel from Q to P and back to Q by a boat. If the boat travels at a speed of 6 km/h from P to Q and (6 + x) km/h back to P, find the value of x.​

Answers

Answer:

Hope this helps and have a nice day

Step-by-step explanation:

To find the value of x, we can use the formula:

Time = Distance / Speed

Let's calculate the time taken to travel from Q to P and back to Q.

From Q to P:

Distance = 12 km

Speed = 6 km/h

Time taken from Q to P = Distance / Speed = 12 km / 6 km/h = 2 hours

From P to Q:

Distance = 12 km

Speed = (6 + x) km/h

Time taken from P to Q = Distance / Speed = 12 km / (6 + x) km/h

Given that the total time taken for the round trip is 3 hours 20 minutes, we can convert it to hours:

Total time = 3 hours + (20 minutes / 60) hours = 3 + (1/3) hours = 10/3 hours

According to the problem, the total time is the sum of the time from Q to P and from P to Q:

Total time = Time taken from Q to P + Time taken from P to Q

Substituting the values:

10/3 hours = 2 hours + 12 km / (6 + x) km/h

Simplifying the equation:

10/3 = 2 + 12 / (6 + x)

Multiply both sides by (6 + x) to eliminate the denominator:

10(6 + x) = 2(6 + x) + 12

60 + 10x = 12 + 2x + 12

Collecting like terms:

8x = 24

Dividing both sides by 8:

x = 3

Therefore, the value of x is 3.

Answer:

x = 3

Step-by-step explanation:

speed  = distance / time

time = distance / speed

Total time from P to Q to P:

T = 3h 20min

P to Q :

s = 6 km/h

d = 12 km

t = d/s

= 12/6

t = 2 h

time remaining t₁ = T - t

= 3h 20min - 2h

=  1 hr 20 min

= 60 + 20 min

= 80 min

t₁ = 80/60 hr

Q to P:

d₁ = 12km

t₁ = 80/60 hr

s₁ = d/t₁

[tex]= \frac{12}{\frac{80}{60} }\\ \\= \frac{12*60}{80}[/tex]

= 9

s₁ = 9 km/h

From question, s₁ = (6 + x)km/h

⇒ 6 + x = 9

⇒ x = 3

Let N be the greatest number that will divide 1305,4665 and 6905 leaving the same remainder in each case. What is the sum of the digits in N.

Answers

Answer:

  4

Step-by-step explanation:

You want the sum of digits of the largest number that divides 1305, 4665, and 6905 with the same remainder.

Largest divisor

We can look at 4665/1305 ≈ 3.57 and 6905/1305 ≈ 5.29 for a clue as to the divisor of interest. These quotients tell us that one possibility is the value that would give quotients of 4 and 6 after the remainder is subtracted from each of the numbers.

For 1305 and 4665, if r is the remainder, we require ...

  4(1305 -r) = 4665 -r

  5220 -4665 = 4r -r

  555/3 = r = 185

If 185 is the remainder in this scenario, then 1305 -185 = 1120 is the divisor. Checking the remainder with 6905, we find ...

  6905/1120 = 6 r 185

Sum of digits

The sum of digits of this divisor is 1 + 1 + 2 + 0 = 4.

The sum of the digits in N is 4.

if f(x) = 2x+7 then find f(x+2)

Answers

It would be 2x+11 because if we plug in (x+2) into 2x+7 then it would be 2(x+2)+7 and if we follow our order of operations then we would get an answer of 2x+11

The answer is:

↬ f(x + 2) = 2x + 11

Work/explanation:

To evaluate the function, plug in x + 2 for x:

[tex]\boxed{\large\begin{gathered}\sf{f(x)=2x+7}\\\\\bf{distribute}\\sf{f(x+2)=2(x+2)+7}\\\\\bf{simplify}\\\sf{f(x+2)=2x+4+7}\\\\\sf{f(x+2)=2x+11}\end{gathered}}[/tex]

Hence, f(x +2) = 2x + 11.

find the value of x. 142 3x+22

Answers

Answer:

x = 40

you can guess and check.

it’s 40 i did it last night on the test

An airline pricing analyst has been asked to review an airline’s flights. She has determined that 80% of all flights reach the final destination on time. Also, 30% of all flights have 100 or more passengers. When a flight has 100 or more passengers, the flight is late 60% of the time.


What is the probability the flight has 100 or more passengers and does arrive on time?

Answers

The probability that a flight has 100 or more passengers and arrives on time is approximately 0.12 or 12%.

Let A be the event that a flight has 100 or more passengers, and B be the event that the flight arrives on time. We want to find the probability of the intersection of these two events, P(A ∩ B).

We are given:

- P(B) = 0.80, the probability that any given flight arrives on time

- P(A) = 0.30, the probability that any given flight has 100 or more passengers

- P(B | A) = 0.40, the conditional probability that a flight arrives on time given that it has 100 or more passengers (since 60% of such flights are late)

We can use the formula for conditional probability to find P(A ∩ B):

P(A ∩ B) = P(B | A) * P(A)

         = 0.40 * 0.30

         = 0.12

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GEOMETRY 50POINTS

find y to the nearest degree ​

Answers

The value of y in the figure is

35.134 degrees

How to determine the value of y

The value of y is worked using SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

The figure shows a right angle triangle of

opposite = 19

adjacent = 27

The angle is calculated using tan, TOA let the angle be y

tan y= Opposite / Adjacent

tan y = 19 / 27

y = arc tan (19/27)

y = 35.134 degrees

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advanced functions
solve 4(8-2x)=256

Answers

Answer:x=-28

Step-by-step explanation:

Distribute the 4 on the left side of the equation:

32 - 8x = 256

Move the constant term to the right side of the equation:

-8x = 256 - 32

-8x = 224

Divide both sides of the equation by -8 to isolate x:

x = 224 / -8

x = -28

Can someone help me? F(x)+8x-8x^3-x^4+6

Answers

Answer:

Step-by-step explanation:

Of course! I'd be happy to help you.

Let's simplify the expression f(x) + 8x - 8x^3 - x^4 + 6 step by step:

The given expression is: f(x) + 8x - 8x^3 - x^4 + 6

Since we don't have any specific information about f(x), we'll assume that f(x) is a constant or a function that doesn't depend on x. In that case, f(x) can be treated as a constant term.

Combining like terms, we have:

f(x) - x^4 - 8x^3 + 8x + 6

There is no further simplification we can do without additional information about the function f(x) or any specific values of x. Therefore, the simplified expression is:

f(x) - x^4 - 8x^3 + 8x + 6

Find the cardinality of the set R₁ \ (R₁ intersection ,)(o a f k q t i s c s, (R₂).Find the value of x, y and z such that the value of polynomial 2x² + y² + 22 - 8x + 2y - 2xy + 2xz-16z + 35 is zero.​

Answers

Answer:

To find the cardinality of the set R₁ \ (R₁ ∩ R₂), we need the specific values of sets R₁ and R₂. Please provide the values of these sets for a more accurate answer.

Regarding the polynomial 2x² + y² + 22 - 8x + 2y - 2xy + 2xz - 16z + 35, we can set it equal to zero and solve for x, y, and z.

2x² + y² + 22 - 8x + 2y - 2xy + 2xz - 16z + 35 = 0

To solve this equation, we need more information or specific values assigned to the variables x, y, and z. Please provide the values or any additional conditions for finding the values of x, y, and z.

15 yd
12 yd
20 yd
9 yd

Answers

Answer:

1080yd³

Step-by-step explanation:

1/2x12x9=54

54x20=1080

Chef Phillippe has 65 eggs and 46 lbs of flour in his bakery. He has a
recipe for Chocolate cake that requires 3 eggs and 2 lbs of flour. He has
another recipe for Red Velvet Cake that requires 4 eggs and 3 lbs of
flour. If all the supplies are used up making some ratio of both cakes,
how many Chocolate cake can he make?

Answers

Answer:

Step-by-step explanation:

12

The sum of three numbers $x$ ,$y$, $z$ is 165. When the smallest number $x$ is multiplied by 7, the result is $n$. The value $n$ is obtained by subtracting 9 from the largest number $y$. This number $n$ also results by adding 9 to the third number $z$. What is the product of the three numbers?

Answers

Answer:

Step-by-step explanation:

Let's break down the given information step by step to solve the problem:

The sum of three numbers x, y, and z is 165: x + y + z = 165.

When the smallest number x is multiplied by 7, the result is n: 7x = n.

The value n is obtained by subtracting 9 from the largest number y: y - 9 = n.

The value n is also obtained by adding 9 to the third number z: z + 9 = n.

We can use this information to form a system of equations:

Equation 1: x + y + z = 165

Equation 2: 7x = n

Equation 3: y - 9 = n

Equation 4: z + 9 = n

To find the product of the three numbers, we need to determine the values of x, y, z, and n.

First, let's solve for n using Equation 2:

7x = n

Now, let's substitute the value of n into Equations 3 and 4:

Equation 3: y - 9 = 7x

Equation 4: z + 9 = 7x

We can rearrange Equation 3 to express y in terms of x:

y = 7x + 9

Now, we can substitute the value of y in Equation 1:

x + (7x + 9) + z = 165

Simplifying:

8x + z = 156

Now, we have two equations:

Equation 4: z + 9 = 7x

8x + z = 156

We can solve this system of equations to find the values of x and z:

From Equation 4, we have z = 7x - 9.

Substituting z in Equation 8x + z = 156:

8x + (7x - 9) = 156

15x - 9 = 156

15x = 165

x = 11

Substituting x = 11 in Equation 4:

z + 9 = 7(11)

z + 9 = 77

z = 68

Now, we have the values of x = 11, y = 7x + 9 = 7(11) + 9 = 86, and z = 68.

The product of the three numbers x, y, and z is:

Product = x * y * z = 11 * 86 * 68 = 64648.

Therefore, the product of the three numbers is 64648.

Let (1=1,2,3, 4, 5, 6, 7, 8, 9, 10​

Answers

The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

How to find the elements in a set?

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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José encontró un álbum de fotos del abuelo cuando tenía nueve años si el álbum tenía 108 páginas cuantas veces se habría es que se habría escrito la cifra nueve para enumerar todo el libro

Answers

The total number of times the digit "9" would have been written to number the entire photo album is 12 + 9 = 21 times.

To determine how many times the digit "9" would have been written to number all the pages of the photo album, we need to analyze the numbering pattern.

Since the album has 108 pages, we can observe that the numbers 1 to 9 are repeated 12 times (1-9, 10-19, 20-29, ..., 90-99) to cover the first 99 pages. Each repetition consists of ten numbers, and the digit "9" appears once in each repetition.

So, the digit "9" would have been written 12 times for the numbers 9, 19, 29, ..., 89 and 99.

However, we have an additional 9 pages to consider, which are 100, 101, 102, ..., 108. Each of these pages contains a single "9" in its numbering.

Therefore, the total number of times the digit "9" would have been written to number the entire photo album is 12 + 9 = 21 times.

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below is the graph of a trigonometric function it has a maximum point at (-pi , 7.7) and a minimum point at (- 1/3 pi, -6.7)
what is the period of the function? give an exact value

Answers

The period of the trigonometric function is -2π/3.

What is the period of the function?

To determine the period of the trigonometric function based on the given information, we need to consider the pattern of the graph and identify the interval over which it repeats.

Given that the maximum point is at (-π, 7.7) and the minimum point is at (-1/3π, -6.7), we can observe that the graph completes one full oscillation between these two points.

The distance between the maximum and minimum points corresponds to half of the period. Therefore, the full period of the function can be found by doubling this distance.

The distance between (-π, 7.7) and (-1/3π, -6.7) can be calculated as follows:

Δx = -1/3π - (-π) = π/3π - π = -π/3

Since the full period is twice this distance, we multiply by 2:

2 * (-π/3) = -2π/3

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Pls geometry work help

Answers

Answer:

Step-by-step explanation:

Given:

<RPS = 35

<PAQ = 130

Solution:  

If <PAQ = 130 then <QAR =50  

because they are a linear pair that add to 180

<QAR = mQR = 50

mRS = 2(<RPS)                    >inscribed angle

mRS = 2(35)

mRS = 70

<PAQ = 130

<PAQ = mPQ

<PSQ = 1/2 (mPQ)                     >inscribed angle

<PSQ = 1/2 (130)

<PSQ = 65

<PBS = 180 - <RPQ - PSQ             >triangle

<PBS = 180 - 35-65

<PBS = 80

<PBS = <QBR                               >vertical angles

<QBR = 80

<ABQ = 180- <QBR                      >linear pair

<ABQ = 180 - 80

<ABQ= 100

<AQB = 180 - <ABQ - <QAR             >triangle

<AQB = 180 -100 - 50

<AQB = 30

<AQB = <AQS

<AQS =30

mRS = 70

mPS = 180-mRS                         180 for semicircle

mPS = 180 - 70

mPS = 110

A boat is traveling in a river that is floating downstream at a speed of 10 km/h. the boat can travel 40 km upstream in the same time it would take to travel 80 km down the stream. what is the speed of the boat in Still water?

Answers

The speed of the boat in still water is 3 times the speed of the river current.

To find the speed of the boat in still water, we can use the concept of relative motion and the given information about the boat's speed while traveling upstream and downstream.

Let's assume the speed of the boat in still water is "v" km/h, and the speed of the river current is "c" km/h.

When the boat is traveling upstream, it moves against the current, so its effective speed is reduced.

The boat's speed relative to the ground is given by (v - c) km/h.

Similarly, when the boat is traveling downstream, it moves with the current, so its effective speed is increased.

The boat's speed relative to the ground is given by (v + c) km/h.

According to the problem, the boat can travel 40 km upstream in the same time it would take to travel 80 km downstream.

Since time is constant in both cases, we can set up the following equation:

40/(v - c) = 80/(v + c)

To solve this equation, we can cross-multiply and simplify:

40(v + c) = 80(v - c)

40v + 40c = 80v - 80c

40c + 80c = 80v - 40v

120c = 40v

Dividing both sides by 40, we get:

3c = v.

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–5 < 2x – 1 < 3 solve?? help aap

Answers

Answer:

Step-by-step explanation:

To solve the inequality -5 < 2x - 1 < 3, we will break it down into two separate inequalities and solve each one individually.

First, let's solve the left inequality:

-5 < 2x - 1

Add 1 to both sides:

-5 + 1 < 2x - 1 + 1

-4 < 2x

Divide both sides by 2 (remembering to reverse the inequality when dividing by a negative number):

-4/2 < 2x/2

-2 < x

Now, let's solve the right inequality:

2x - 1 < 3

Add 1 to both sides:

2x - 1 + 1 < 3 + 1

2x < 4

Divide both sides by 2:

2x/2 < 4/2

x < 2

So, the solutions to the inequalities are:

-2 < x < 2

This means that x is greater than -2 and less than 2.

What transformation is shown below? (Look carefully at the vertices.)

translation
reflection
rotation
can't be determined

Answers

The transformation that moves the shape is (a) translation

What transformation moves the shape

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

The figure

Where, we have:

Rectangle ABCD and rectangle ABCD have the same orientationRectangle ABCD and rectangle ABCD have the same size

This means that the only transformation is translation

So, the transformation is (a) translation

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Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________

What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?

x < –3
x > –3
x < 3
x > 3

Answers

Answer:

x<3

Step-by-step explanation:

[tex] - 2(5 - 4x) < 6x - 4 \\ - 10 + 8x < 6x - 4 \\ 8x - 6x < - 4 + 10 \\ 2x < 6 \\ x < 3[/tex]

A city currently has 2.08 thousand residents. Each year the city's population grows by around 420 persons.

After 14 years what will the approximate population of the city be? Round to three significant digits.

Approximately
thousand residents.

Answers

Answer:

the approximate population of the city after 14 years will be 7.96 thousand residents.

Step-by-step explanation:

to calculate the approximate population of the city after 14 years, we need to take into account the annual growth rate.

Given that the city's population grows by around 420 persons each year, we can calculate the total growth over 14 years by multiplying the annual growth rate by the number of years:

14 years × 420 persons/year = 5,880 persons

To find the approximate population after 14 years, we add the total growth to the current population:

2.08 thousand + 5.88 thousand = 7.96 thousand

SOMEINE GELP IYS DUE IN HOURS

Answers

Answer: the answer is use ur ai in Brainly, it helped me a lot

Step-by-step explanation:

pls helpppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

Bisector means breaking the segment in half.

answer is A. to have a length exactly half the segment

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

Answer:  25

Reason:

The order of ABCD and EFGH is important. This is because the letters pair up based on their position.

D and H pair up because they're the last letters of ABCD and EFGH respectively. Similar polygons have congruent corresponding angles.

Take note of how the angles are marked to indicate which angles pair up.

D = H

4x = 100

x = 100/4

x = 25

Answer:

25 is the answer by matching the equial sides

Step-by-step explanation:

100°/4=X

25=X

Other Questions
Several factors impact the WACC. Which of the following factors does not fall under a firm's control? Capital structure Dividend policy Capital budgeting policy Market risk premium policy Investment policy, When the temperature of a copper coin is raised by 150 C, its diameter increases by 0.26%. To two significant figures, give the percent increase in (a) the area of a face, (b) the thickness, (c) the volume, and (d) the mass of the coin. (e) Calculate the coefficient of linearexpansion of the coin. 4) Assess these three strategic Options how could PresidentChoice approach the International Market: Loblaw Financed New BrandLaunched Globally- Advertising supported, Market by Market, OnlineOnly? Yuris sister Karina is 12 years old. In the equation below, y represents Yuris age in years.12 = 3 y minus 2Which statement accurately relates their ages?Yuri is 3 years younger than twice Karinas age.Yuri is 2 years younger than triple Karinas ageKarina is 3 years younger than twice Yuris age.Karina is 2 years younger than triple Yuris age. Problem 1 A toxic organic material (Component 4) is to be removed from water (Component B) in a packed- bed desorption column. Clean air is introduced at the bottom of the column and the contaminated water is introduced at the top of the column. The column operates at 300 K and 150 kPa. At one section of the column, the partial pressure of 4 is 1.5 kPa and the liquid phase-concentration of A is 3.0 gmol/m. The mass transfer coefficient k is 0.5 cm/s. The gas film resistance is 50% of the overall resistance to mass transfer. The molar density of the solution is practically constant at 55 gmol/lit. The equilibrium line is given by the linear equation: y=300x4. Calculate: a) the mass transfer coefficients kG, KG, kr, ky, and Ky. b) the molar flux of gas A transferred from the liquid NA. c) the interfacial concentrations pa and CAL Consider two 20 resistors and one 30 resistor. Find all possible equivalent resistances that can be formed using these resistors (include the cases of using just one resistor, any two resistors in various combinations, and all three resistors in various combinations.) Sketch the resistor arrangement for each case. FV of $200 each 3 months for 8 years at a nominal rate of 12%,compounded quarterly. Do not round intermediate calculations. Roundyour answer to the nearest cent. Transcribed image text: A rotating fan completes 1150 revolutions every minute. Consider the tip of the blade, at a radius of 120 cm. What is the linear distance moved when the tip moves through one revolution? What is the tip's speed and the magnitude of its acceleration? What is the period of the motion? Sebuah kipas yang berputar membuat 1150 putaran lengkap seminit. Pertimbangkan hujung bilah kipas, pada jejari 120 cm Berapakah jarak yang dibuat oleh hujung bilah kipas di dalam sutu putaran? Berapakah laju dan magnitud pecutan hujung bilah kipas? Berapakah tempoh gerakan? [16 marks / 16 markah] (a Light from a helium-neon laser (630 nm) is incident on a pair of slits. Interference pattern can be seen on a screen 2.0 m from the slits and the bright fringes are separated by 1.40 cm. What is the slit separation? A grating has 5000 lines per cm. Determine the angular separation between the central maximum and the second-order bright fringe if the wavelength of violet light is 410 nm. (b) (a) Cahaya dari helium-neon laser (630 nm) melalui sepasang celahan. Corak interferens dapat dilihat pada layar yang jauhnya 2.0 m dari celahan dan pinggir-pinggir terang dipisahkan sejauh 1.40 cm. Berapakah jarak pisahan antara celahan? Satu parutan mempunyai 5000 garisan per cm. Tentukan sudut pemisahan di antara pinggir terang pusat dengan pinggir terang tertib kedua jika panjang gelombang cahaya ungu ialah 410 nm. [16 marks / 16 markah] (b) Convert the following base-ten numerals to a numeral in the indicated bases. a. 1059 in base six b. 760 in base nine c. 44 in base two a. 1059 in base six is six thin plastic lens with index of refraction n=1.66 has radil of curvature given by R 1 =10.5 cm and R 2 =35.0 cm. (a) Determine the focal length in cm of the lens. cm (b) Determine whether the lens is converging or diverging. Determine the image distances in cm for object distances of infinity, 3.00 cm, and 30.0 cm. (c) infinity cm (d) 3.00 cm cm (e) 30.0 cm cm A radioactive sample with a half-life of 2.9 s initially has 10,000,000 nuclei. What would be the activity, or decay rate, in Bg after 5.4 seconds? Question 416 marks You should use algebra in all parts of this question, showing your working clearly. (a) Solve the following equations, giving your answers as integers or as fractions in their simplest form. (i) 12x+4=5011x [2] (ii) 4 51(6x3)= 37+3x [3] (b) Simplify the following expression: x 24x+44x 2(c) Solve the following equation by completing the square: x 2+14x51= Determine the x values of the relative extrema of the function f(x)=x^{3}-6 x^{2}-5 . The find the values of the relative extrema. Because f(x) ___ its inverse is a function. is one to oneX is a function Passes the vertical line test Three business partners Shelly-Ann, Elaine and Shericka share R150 000 profit from an invest- ment as follows: Shelly-Ann gets R57000 and Shericka gets twice as much as Elaine. How much money does Elaine receive? A. R124 000 B. R101 000 C. R62000 D. R31000 A car starts out from rest at the location x= 0 m and accelerates. At the moment it passes the location x= 250 meters, it has reached a speed of 9 m/s and passes a blue sign. The car then stays at that speed for an additional 1.5 min. at which time the car passes a purple store. You may type in answers or upload a scan of your work. Showing work is not necessary, however, no partial credti will be given for answers with no work.a) Solve for the average acceleration during the 1st 40 sec. of travel.b) Solve for the time (t) when the car passes the blue sign.c) Solve for the position (x) of the purple store. Question 4 A budget that is created by starting with the work breakdown structure, determining costs for each work package, and Not yet answered then adding these costs together is: Marked out of 1.00 Select one: P Flag question a. Top-down budgeting. b. Zero-based budgeting. c. Activity-based budgeting. d. Bottom-up budgeting. Question 5 Not yet answered Marked out of 1.00 P Flag question a. Alpha b. Gaussian c. Normal d. Binomial e. Beta If the sum of excitatory signals overcomes the inhibitory signals at a neurons cell body, the neuron can depolarize. This generates a(n)_____ According to Bonilla-Silva, which frame is the most common in contemporary society? Flag question O a. Minimization of racism O b. Cultural racism O c. Naturalization frame O d. Abstract liberalism You purchased a new Indoor/Outdoor Extension Cord in Orange color (so you can cut the grass with your new electrical mower). This cord rated at 13 A. You plugged it to an outlet with 120 V. a) What must be the resistance of your cord, assuming the current is 13A? b) How much energy does it spend per second? c) if you decide to plug 3 of these cords (make it longer), what do you expect will happen to the resistance of the total length of the cord? If you were to measure the current now, do you expect it would still be 13A?