find the slope. -2,1 and 4,4

Answers

Answer 1

Answer:

2

Step-by-step explanation:

To find the slope of two points, we must subratct the Y values from each other and divide them from the X values

4-(-2)           6

---------   =   -----   =  2

4-1                3

Answer 2

Answer: The slope is 1/2 as a fraction and 0.5 as a decimal

Hope it helped :D


Related Questions

Prince Ivan rides Grey Wolf at a constant speed from King's Castle to the Magic Apple Garden in 5 hours. On their return trip to King's Castle, Grey Wolf runs at that original constant speed for the first 36 km. Then he runs the rest of the way 3 km/h faster. What was Grey Wolf's original speed if the return trip took 15 minutes less than the trip from King's Castle to the Magic Apple Garden?

Answers

Answer:

48 and 9

Step-by-step explanation:

36/x + 5x-36/x+3 = 5-0.25

Answer:

9 and 48 km/hr

Step-by-step explanation:

The Formula [tex]S=\frac{D}{T}[/tex] along with its variations are used

Let's say for the initial ride, the speed was x. Because the time was 5 hours, the distance was 5x km. Now for the return. For the first part, the speed remains x but our distance is 36km. So, our time is 36/x hours. For the second part, the speed is x+3 but our distance is 5x-36 (The total minus the distance of the first part.) So, our time is [tex]\frac{5x-36}{x+3}[/tex]. Now we have the equation [tex]\frac{36}{x} + \frac{5x-36}{x+3}=5-\frac{1}{4}[/tex] as our times add up to 5 hours minus 1/4 of and hour. Solving, we get x=9, x=48.

y = 100(1.25)^t

1. What is your initial value?

Answers

100(1.25)^t
100 x (5/4)^t
100 x 5^t / 4^t
100 x 5^t all over 4^t

West Co.'s 2016 financial statements were authorized for issue by its directors on 28 April 2017 and the annual general meeting will be held on 1 June 2017. Slow moving inventories held at one of its warehouses were valued at its cost of $350.000 at 31 December 2016.On 4 April 2016,70% of this inventory was sold for $120,000 on which West Co.'s sales staff earned a commission of $10,000. On 1 January 2018. an entity borrowed $12 million for the construction of a building that is estimated to cost $30 million. Only $5 million was utilised during the year and the balance of $7 million was invested temporarily in a fixed deposit which yielded an interest of 5% per annum. Total interest accrued on the borrowing of $12 million for the year 2016 was $0.84 million Hazelnut Co leased out tangible non-current assets as operating leases. At 1 January 2016, the carrying amount of such assets was $40 million while the remaining useful life was 10 years. These assets were leased out on operating leases that have recently expired. On 31 December 2016, the company is undecided to whether sell or lease the assets to customers under operating leases but wants to recognise it as held for sale. The fair value less selling costs of the asset is $37 million and the value in use is estimated at $38 million. For each of the above situation: i. Identify the relevant MERS i. Explain the accounting treatment Prepare relevant journal entries (note: for the financial year-end is 31 December 2016)

Answers

Identification of the relevant MERS: Slow moving inventories (cost $350,000) held at West Co.'s warehouseTotal borrowing of $12 million for the construction of a building Non-current tangible assets held by Hazelnut CoThe accounting treatment for each of the above situations and relevant journal entries are as follows:

Accounting Treatment for Slow moving inventories held at West Co.'s warehouse. The slow-moving inventories held at West Co.'s warehouse will be valued at its cost of $350,000 at 31 December 2016. Since 70% of the inventory was sold, the remaining inventory will be valued at 30% of $350,000 = $105,000The accounting entry to record the sale of the inventory and the commission earned is as follows :Accounting Treatment for Slow moving inventories soldDateAccountTitlesDebitCredit4 April 2016Cost of Goods Sold 84,000Slow moving Inventories 84,000(70% x $350,000)Sales Commission 10,000Sales 10,000(70% x $120,000)Accounting Treatment for Non-current assets held by Hazelnut CoOn 31 December 2016, Hazelnut Co is undecided whether to sell or lease out the non-current assets, but it wants to recognize them as held for sale. The fair value less selling costs of the asset is $37 million, and the value in use is estimated at $38 million. Since the fair value less selling costs is lower than the value in use, the recoverable amount of the asset is lower than the carrying amount, and the asset will be written down.The accounting entry to write down the asset and recognize it as held for sale is as follows:Accounting Treatment for Non-current assets held by Hazelnut CoDateAccountTitlesDebitCredit31 December 2016Loss on Impairment 2,000,000Non-current Assets Held for Sale 2,000,000(Write down of non-current asset to fair value less selling costs of $37m)As of 31 December 2016, Hazelnut Co will recognize depreciation expense for the non-current assets for the year. The accounting entry to recognize the depreciation expense is as follows:Accounting Treatment for Depreciation of Non-current assets held by Hazelnut CoDateAccountTitlesDebitCredit31 December 2016Depreciation Expense 4,000,000Accumulated Depreciation - Non-current Assets 4,000,000(10% x $40,000,000)iii. Accounting Treatment for Total borrowing of $12 million for the construction of a buildingOn 1 January 2018, an entity borrowed $12 million for the construction of a building that is estimated to cost $30 million. Only $5 million was utilized during the year, and the balance of $7 million was invested temporarily in a fixed deposit which yielded an interest of 5% per annum. Total interest accrued on the borrowing of $12 million for the year 2016 was $0.84 million.On 31 December 2016, the entity will recognize the interest expense for the interest accrued on the borrowing of $12 million.The accounting entry to record the interest expense is as follows:Accounting Treatment for Total borrowing of $12 millionDateAccountTitlesDebitCredit31 December 2016Interest Expense 840,000Interest Payable 840,000(5% x $12,000,000)Thus, the accounting treatment for slow-moving inventories sold and non-current assets held by Hazelnut Co includes the recognition of losses due to impairment. The accounting treatment for total borrowing of $12 million includes the recognition of interest expense.

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The relevant MERS for each situation are as follows:

i. West Co.: Inventory

ii. The entity: Borrowing

iii. Hazelnut Co.: Assets

The accounting treatments and journal entries for each situation are given below:

i. West Co.: Inventory

The accounting treatment for slow-moving inventory valuation is to record the inventory’s cost of $350,000 on the balance sheet. When 70% of the inventory is sold for $120,000, the sales amount of $120,000 is recognized on the income statement, while the commission amount of $10,000 is recognized as selling expenses.

The journal entry is as follows:

Income statement: Dr. Cash $120,000Cr.

Revenue $120,000

Dr. Commission expense $10,000Cr.

Cash $10,000

Balance sheet:

Dr. Inventory $245,000Cr.

Cost of goods sold $245,000

ii. The entity: Borrowing

When an entity borrows funds, it records the principal amount on the balance sheet as a liability and recognizes interest expenses as the cost of borrowing. The interest amount for the year 2016 was $0.84 million. Therefore, the journal entry is as follows:

Balance sheet:

Dr. Cash $5,000,000

Dr. Fixed deposit $7,000,000 Cr.

Borrowing $12,000,000

Income statement:

Dr. Interest expense $0.84 million Cr.

Cash $0.84 million

iii. Hazelnut Co.: Assets

When an asset is recognized as held for sale, it is carried at the lower of the fair value less selling costs or value in use. The carrying amount of the asset is reduced to its fair value less selling costs.

The journal entry is as follows:

Balance sheet:

Dr. Provision for impairment $1 million Cr.

Tangible non-current assets $1 million

Balance sheet:

Dr. Tangible non-current assets $3 million Cr.

Provision for impairment $3 million

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help with segment relationships in circles...picture attatched.

Answers

Answer:

x=23

Step-by-step explanation:

Hello There!

The relationship between chords can be found below in the image.

Pretty much the product of the segments in the same chord is equal to the product of the other segments in the other chord if that makes sense

So more specifically for this problem

10 * 18 = 9(x-3)

once we are able to create a formula/equation this problem is a lot easier to understand

Now we use basic algebra to solve for x

10 * 18 = 9(x-3)

step 1 combine like terms

10 * 18 = 180

now we have

180 = 9(x-3)

step 2 distribute the 9 to what's in the parenthesis (x and -3)

9*x=9x

9*-3=-27

now we have

180 = 9x - 27

step 3 add 27 to each side

-27 + 27 cancels out

180 + 27 = 207

now we have

207 = 9x

step 4 divide each side by 9

207/9 = 23

9x/9=x

we're left with x = 23

Now we want to check our answer

is 10 * 18 = 9*(23-3) then our answer is correct

10*18=180

23-3=20

20*9=180

180=180 is true hence the answer is 23

Please help!!! I’ll do anything!!

Answers

First make it non-fraction
Multiply both sides by 7
-3m = 84
Now easily divide
m = -28

Answer:

I believe the answer would be m = -28

Step-by-step explanation:

To remove the demoninater, multiple both sides by 7

12*7 = 84 so now you have -3 = 84

Divide 84 by -3, giving you -28

Need help with this question

Answers

Answer:

Function A rate = 5/1

Function B rate = -4.5

Function A because its rate is positive while Function B's rate is negative

d) Vegetable ghee is stored in a rectangular vessel of internal dimensions
60 cm x 10 cm x 45 cm. It is transferred into the identical cubical vessels. If the
internal length of each cubical vessel is 10 cm. how many vessels are required to
empty the rectangular vessel?​

Answers

27 vessels

Step-by-step explanation:

get the volume of the rectangular vessel 60cm ×10cm ×45cm giving you 27000cm3.Find volume of one of the cube 10cm×10cm×10cm giving 1000cm3.

if 1 cube =1000cm3

? = 27000cm3

27000cm3× 1cube

1000cm3

di

vide then get your answer as 27 vessels

solve the equation
13. 9^3c + 1 = 27^3c - 1​

Answers

Simplifying
9(3c + -1) = 27(3c + -1)

Reorder the terms:
9(-1 + 3c) = 27(3c + -1)
(-1 * 9 + 3c * 9) = 27(3c + -1)
(-9 + 27c) = 27(3c + -1)

Reorder the terms:
-9 + 27c = 27(-1 + 3c)
-9 + 27c = (-1 * 27 + 3c * 27)
-9 + 27c = (-27 + 81c)

Solving
-9 + 27c = -27 + 81c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-81c' to each side of the equation.
-9 + 27c + -81c = -27 + 81c + -81c

Combine like terms: 27c + -81c = -54c
-9 + -54c = -27 + 81c + -81c

Combine like terms: 81c + -81c = 0
-9 + -54c = -27 + 0
-9 + -54c = -27

Add '9' to each side of the equation.
-9 + 9 + -54c = -27 + 9

Combine like terms: -9 + 9 = 0
0 + -54c = -27 + 9
-54c = -27 + 9

Combine like terms: -27 + 9 = -18
-54c = -18

Divide each side by '-54'.
c = 0.3333333333

Simplifying
c = 0.3333333333

Can someone help me with this problem

Answers

Answer: x = 33°

Step-by-step explanation: A triangle's angles should all equal 180, so we can set up an equation to help us.

106 + 41 + x = 180

Add 106 and 41

147 + x = 180

Subtract 147 on both sides.

x = 33

And there you go :)

Im giving brainliest

Answers

Answer:

> there you go

Step-by-step explanation:

Answer:

>

Step-by-step explanation:

what equation matches the graph?

Answers

Answer:

b

Step-by-step explanation:

Find the value of X.

Answers

Answer:

Angles of a triangle add to 180 degrees

42+58+x=180

x=80

Consider this right triangle.
Enter the ratio equivalent to sin (B)

Answers

Answer:

[tex]\boxed {\boxed {\sf sin(B)= \frac {21}{29}}}[/tex]

Step-by-step explanation:

Sine is the ratio of the opposite side to the hypotenuse.

[tex]sin \theta= \frac {opposite}{hypotenuse}[/tex]

We want to find the sine of angle B. The side AC, which measures 21, is opposite angle B.

The side AB, which measures 29, is the hypotenuse because it is the longest side and opposite the right angle.

[tex]opposite= 21\\hypotenuse=29[/tex]

Substitute the values into the formula.

[tex]sinB= \frac {21}{29}[/tex]

This ratio cannot be reduced further, so it is the final answer.

The sine of B is 21/29

give the slope of the line with equation 17x = -34; then graph the line

Answers

For your slope it’s x= -2, there is no y-intercept

It should be drawn as a undefined slope

One die is blue and the other die is yellow. Both are rolled. What is the probability of getting the shm of 8?

Answers

Answer:

5 /36

Step-by-step explanation:

Sample space :

Number of faces^number of dice = 6^2 = 36

Sum of 8 on a roll of 2 dies :

Probability = required outcome / Total possible outcomes

Required outcome = number of times a sum of 8 is obtained on a roll of 2 dies = 5

Total possible outcomes = sample space = 36

P(obtaining a sum of 8) = 5 /36

Moving to another question will save this response. uestion 2 15 point Pretty Lady Cosmetic Products has an average production process time of 40 days. Finished goods are kept on hand for an average of 15 days before they are sold. Accounts receivable are outstanding an avera and the firm receives 40 days of credit on its purchases from suppliers. Assume net sales of $1,200,000 and cost of goods sold of $900,000. Determine the average investment in accounts receivable, inventories, and accounts payable. What would be the net financing need conside three accounts? *Note: To solve this problem, you will need to first find the Inventory Period, the Receivables Period, and the Payment Period. $153.054.79 $154,054.79 $152.054.79 $152,154.80

Answers

The net financing need considering the three accounts is approximately $185,753.42.

To determine the average investment in accounts receivable, inventories, and accounts payable, we need to calculate the Inventory Period, Receivables Period, and Payment Period.

Inventory Period:

The Inventory Period is the average number of days it takes for finished goods to be sold. In this case, the average production process time is given as 40 days, and finished goods are kept on hand for an average of 15 days before they are sold. Therefore, the Inventory Period is the sum of these two periods:

Inventory Period = Production Process Time + Days Kept on Hand

Inventory Period = 40 days + 15 days

Inventory Period = 55 days

Receivables Period:

The Receivables Period is the average number of days it takes for accounts receivable to be collected. It is given that accounts receivable are outstanding for an average of 40 days. Therefore, the Receivables Period is 40 days.

Payment Period:

The Payment Period is the number of days the firm receives credit on its purchases from suppliers. It is given that the firm receives 40 days of credit. Therefore, the Payment Period is 40 days.

Now, we can calculate the average investment in accounts receivable, inventories, and accounts payable.

Average Investment in Accounts Receivable:

Average Investment in Accounts Receivable = (Net Sales / 365) * Receivables Period

Average Investment in Accounts Receivable = ($1,200,000 / 365) * 40

Average Investment in Accounts Receivable ≈ $131,506.85

Average Investment in Inventories:

Average Investment in Inventories = (Cost of Goods Sold / 365) * Inventory Period

Average Investment in Inventories = ($900,000 / 365) * 55

Average Investment in Inventories ≈ $142,191.78

Average Investment in Accounts Payable:

Average Investment in Accounts Payable = (Cost of Goods Sold / 365) * Payment Period

Average Investment in Accounts Payable = ($900,000 / 365) * 40

Average Investment in Accounts Payable ≈ $87,945.21

Finally, to calculate the net financing need, we subtract the average investment in accounts payable from the sum of the average investment in accounts receivable and inventories:

Net Financing Need = Average Investment in Accounts Receivable + Average Investment in Inventories - Average Investment in Accounts Payable

Net Financing Need = $131,506.85 + $142,191.78 - $87,945.21

Net Financing Need ≈ $185,753.42

Therefore, the net financing need considering the three accounts is approximately $185,753.42.

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r17 is greater than or equal to 545.7

Answers

Answer:

r17 is that a mistake or actually the number?

please help me out! I don’t understand

Answers

Answer:

10/26

Step-by-step explanation:

out of 26 student 10 have a brother 8 people have only a brother and 2 people have both a sister and a brother. so you have 10/26

Is the spinner shown a fair spinner? Explain
why or why not.

Answers

No it is not, as you can see the width of length of each shape is not equal
^^^^^^^^^^^^^^^^^^^
The circle is uneven. Making it more likely to land on one prominent thing.

Need help with this

Answers

Answer:

search it up

Step-by-step explanation:

If a and b are the legs of a right triangle, and c is the hypotenuse, what is
the length of b if a = 6 and c = 18.5? (If necessary, round to the nearest
tenth)

Answers

(If i made a mistake, please let me now)

b² = c² - a²

b² = (18.5)² - (6)²

b² = (342.25) - (36)

b² = √306.25 = 17.5

17.5 = 18

please help!
PQRS is a kite. Enter coordinates
for point S.
P(0, b)
S
Q(a, 0)
R(0, -c)
S([ ? ] ,[ ? ])

Answers

Answer:

(-a, 0)

Step-by-step explanation:

By telling you that the quadrilaretal is a kite the problem is telling you that SQ is perpendicular to PR, and that PS=PQ (by simmetry, it follows that also RS=RQ). So S has to be the symmetric of Q to the center (intersection of the diagonals), which means that, since Py=0, its coordinates are (-a, 0)

Does anyone know the answer to this and if you do pls give it to me I need it ASAP

Answers

Answer:

7,3 if rounded up...

not rounded up..... 7, 3.3????? I think???

Slope-intercept form: y = mx + b

First find the slope : [tex]\frac{rise}{run} = \frac{-1}{3}[/tex]

Slope = -1/3

Now we got  y = -1/3x + b

Next find y-intercept. This is where your line crosses the y line (vertical)

Y-intercept = 3

b = 3

Answer: y = -1/3x + 3

A system of equations is created by using the line that is created by the equation 3x-2y=-4 and the line that is created
by the data in the table below.
Х
y
-9
-3
-1
-5
3
3
5
7
What is the y-value of the solution to the system?

Answers

Answer:

y=6x-8

Step-by-step explanation:

3x-2y=-4

3x^2-2y^2=-4^2

6x-y=8

y=6x-8

Leah works at an appliance store. She recorded her recent sales. washing machines 3 dishwashers 1 ovens 6 clothes dryers 5 What is the experimental probability that the next appliance Leah sells will be an oven? Write your answer as a fraction or whole number. P(oven)=​

Answers

Answer:

2/5

Step-by-step explanation:

Add up everything which would be 15, then put the number of ovens their was as the numerator. Then you'd have 6/15 so then just simplify!

A student-fare bus pass costs half as much as an adult-fare pass. Together, one student pass and one adult pass cost $129. How much does each pass cost?

Answers

Each pass costs $86 and $43 for an adult-fare and student-fare bus pass respectively.

Let the cost of an adult-fare bus pass be A student-fare bus pass costs half as much as an adult-fare pass, hence, the cost of a student pass will be $129 - A.

Mathematically, this is represented as:A = 2($129 - A) $A = $258 - 2A 3A = $258 A = $86Therefore, the cost of an adult-fare bus pass is $86.A student pass costs half as much as an adult-fare pass.

Since the cost of an adult-fare pass is $86, therefore the cost of a student pass will be half of $86. Mathematically, this can be represented as:Cost of student pass = 1/2 x $86 = $43

Therefore, each pass costs $86 and $43 for an adult-fare and student-fare bus pass respectively.

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5. Let T1 and T2 be two stop times with respect to the same filtration. Prove that me (T1, T2) and T₁ +T2 are also stopping times.

Answers

T1 and T2 are stop times, both of these events belong to Ft, their union also belongs to Ft. Hence, we can conclude that T1 + T2 is also a stop time.

We are given two stop times T1 and T2 with respect to the same filtration.

We are to prove that the maximum and the sum of T1 and T2, i.e., max(T1, T2) and T1 + T2 are also stop times.  

Let us consider the stop time T1.

This means that the event {T1 ≤ t} belongs to the sigma-algebra Ft, for all t≥0.

Similarly, let us consider the stop time T2.

This means that the event {T2 ≤ t} belongs to the sigma-algebra Ft, for all t≥0.

We are to prove that max(T1, T2) is also a stop time.

We can do so by considering the following event:{max(T1, T2) ≤ t}.

If T1 ≤ T2, then this event reduces to {T2 ≤ t} which belongs to Ft.

Similarly, if T2 ≤ T1, then this event reduces to {T1 ≤ t} which also belongs to Ft.

Thus, we can conclude that max(T1, T2) is a stop time.

We are to prove that T1 + T2 is also a stop time.

We can do so by considering the following event:{T1 + T2 ≤ t}.

This event can be expressed as:{T1 ≤ t − T2} ∪ {T2 ≤ t − T1}.

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Put the following numbers in order from least to greatest: √42, 7, 6, √38.

Answers

Answer:

6, √38, √42, 7

Step-by-step explanation:

The numbers in order from least to greatest is 6,√38,√42,7

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Finding the least common multiples of the denominator expressions can help. Then using the similar method as we use in sum of fractions would give the sum of algebraic fractions.

Given;

√42, 7, 6, √38

√42=6.4

√38=6.1

Therefore, the order of algebra will be 6,√38,√42,7

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0548 f(x) = 2100 The mean age of a woman in a certain country when her child is born can be approximated by the function where x = 10 corresponds to the year 2010. Estimate the mean age of the woman at the birth of her first child in the following years, The mean age of a woman at the birth of her first child in 2015 is

Answers

(a) Mean age in 2010 ≈ 23.9 years

(b) Mean age in 2013 ≈ 24.4 years

(c) Mean age in 2016 ≈ 24.9 years

To estimate the mean age of a woman at the birth of her first child in the given years, we can substitute the corresponding values of x into the function f(x) = 21 × [tex]x^{0.0521[/tex].

(a) For the year 2010 (x = 10):

f(10) = 21 × [tex](10)^{0.0521[/tex] ≈ 21 × 1.136 ≈ 23.856

The mean age of a woman at the birth of her first child in 2010 is approximately 23.9 years.

(b) For the year 2013 (x = 13):

f(13) = 21 × [tex](13)^{0.0521[/tex] ≈ 21 × 1.161 ≈ 24.381

The mean age of a woman at the birth of her first child in 2013 is approximately 24.4 years.

(c) For the year 2016 (x = 16):

f(16) = 21 × [tex](16)^{0.0521[/tex] ≈ 21 × 1.185 ≈ 24.885

The mean age of a woman at the birth of her first child in 2016 is approximately 24.9 years.

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The question is -

The mean age of a woman in a certain country when her child is born can be approximated by the function

f(x)=21x0.0521​,

where

x=10

corresponds to the year 2010. Estimate the mean age of the woman at the birth of her first child in the following years.

​(a) 2010

​(b) 2013

​(c) 2016

​(a) The mean age of a woman at the birth of her first child in 2010 is?

​(b) The mean age of a woman at the birth of her first child in 2013 is?

​(c) The mean age of a woman at the birth of her first child in 2016 is?

​(Type an integer or decimal rounded to one decimal place as​ needed.)

The largest U.S flag in the world is 225 feet by 505 feet.
Is the ratio of the length to the width equivalent to 1:19,
the ratio for official government flags?

Answers

Answer:

Step-by-step explanation:

Remark

The ratio should be 10 : 19

Given

Flag Ratio: 225 : 505

Break the dimensions into  prime factors.

225: 15 * 15 = 3*5 * 3*5

505: 5 * 101

Conclusion

101 is prime so this dimension cannot be broken down any further

The fives cancel out. The dimensions of this flag are in the ratio of 45/101 which is 0.4455

10/19 = 0.5263

I would say this is reasonably close.

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1. Find the Laplace transform of +3 + et sin(4t) 2. Find the Laplace transform of (t - 34 3. Find the Laplace transform of : te4t sin(2t) Suppose that the utility function is u(c, l) = log(c) l (a) Explain the intuition behind this utility function. Does the person likes consump- tion c? What about leisure l? (b) Find the equation of an indifference curve given a level of utility I. (c) Find the Marginal Rate of Substitution. (d) Show the optimal consumption-labor choice using a plot with c in the y-axis and l in the x-axis. (e) Find the optimal amount of consumption and leisure assuming that h = 1 and = T = 0. Determine the x-intercepts. Express your answers in exact form. a) y = x2 - 4x + 2 b) y = 2x2 + 8x + 1 Question 44 10 pts A marketer of a smartphone company wants to run a correlation using the survey questions below. Can you provide any advice for this marketer? (word limit: 100 words) Q1: Would you l List and briefly discuss 2-3 current concerns that are limiting the adoption of cryptocurrencies.What are the characteristics of disruptive technologies? Give an example of disruptive technology not discussed in the book. emaining: 2:27:02 I Question A line passes through the point (2, -6) and has a slope of 6. Write an equation for this line. what is the total displacement of the car after 5 h? responses 0 km 0 km 15 km 15 km 20 km 20 km 40 km Emily Ltd had the following ratios at 31 December 2020 and 31 December 2021: 2021 2020 Gross profit margin 28% 25% Trade payable days 44 days 40 days Trade receivable days 35 days 30 daysWhich ONE of the following statements is TRUE?a. E Ltd is paying its trade payables 4 days more quickly in 2021 than in 2020. b. The average length of time between goods being purchased and E Ltd paying for those goods, is 75 days in 2020, c. ELtd is collecting in its debts from customers more quickly in 2021 than in 2020.d. The gross profit margin made by E Ltd has increased from 2020 to 2021. The ultrasonic transducer used in a medical ultrasound imaging device is a very thin disk (m = 0.10 g) driven back and forth in SHM at 1.0 MHz by an electromagnetic coil.The maximum restoring force that can be applied to the disk without breaking it is 27,000 N. What is the maximum oscillation amplitude that won't rupture the disk?Part BWhat is the disk's maximum speed at this amplitude? a. Draw the morphological structure tree for the word: miscommunicationsb. Are there any inflectional affixes in the word above? If so, list them.c. Are there any derivational affixes in the word above? If so, list them.d. In the word above, what are the bases? List them. Let x be the number of courses for which a randomly selected student at a certain university is registered. The probability distribution of x appears in the following table X 1 2 3 4 5 6 7 p(x) 0.03 0.04 0.09 0.26 0.38 0.15 0.05 It can be easily verified that 4:57 and 1.27 (a) Because - 3.30, the x values 1, 2 and 3 are more than 1 standard deviation below the mean: What is the probability that is more than 1 standard deviatic mean? 0.16 (b) What x values are more than 2 standard deviations away from the mean value (either less than x - 20 or greater than + 20) (select all that apply.) 4 SS 6 X (c) Wisat is the probability that is more than 2 Standard deviations away from its mean value? 0.03 Given f'(-1) = 2 and f(-1) = 4. Find f'(x) = _____and find f(1) = ____ Determine the radius and interval of convergence of the following series... SERIES ANSWERS ) . (x-1)" R=1; ( 0,2) n+1 b) n*(x-2)" R=1; (13) n=0 (2x+1)" R=1; [-1,0] 11 R=2; (-2,2) (1)"n*(x+2)" 3" n=1 Romberg integration for approximating integral (x) dx gives Ry1 = 6 and Rzz = 6.28 then R11 = 2.15 0.35 4:53 5.16 Patrick Ross, the president of M & M Materials Company, has asked for information about the cost behavior of manufacturing overhead costs. Specifically, he wants to know how much overhead cost is fixed and how much is variable. The following data are the only records available:Month Machine-hours Overhead Costs February 1,870 $22,500 March 3,080 24,475 April 1,200 24,321 May 2,750 23,650 June 3,700 31,196Required: Using the high-low method, determine the MONTHLY overhead cost equation. (Use machine-hours as your cost driver.) One can perfect on a deposit account: Select one: a. only by filing a financing statement. b. only by taking possession. c. only by taking 'control' of it. d. by filing a financing statement or by taking 'control' of it. Solve the exponential equation: 4^(3x-5) = 9. Then round your answer to two-decimal places. Which of the following changes would impact net income but not cash inflow? a. A decrease in dividends b. A decrease in inventories c. An increase in accounts payable d. An increase in depreciation expense If 15.00 mL of a 1.00 M HCl solution is mixed with 25.00 mL of a 0.250 M NaOH solution in a process that produces 273 mg of NaCl, what is the percentage yield of NaCl? The manager of company collects monthly data on advertising expenditure (x) and sales (y) in thousands of pounds over a 48- month period. She finds that x has a sample mean of 40 and sample variance of 125; whilst ye has a sample mean of 55 and sample variance of 300. Additionally, the sample covariance between x and yt is 150, and the sample correlation coefficient is 0.85. She asks you to estimate the following linear regression: Yt=B0+ B1xt + et 1- Describe the method of ordinary least squares (OLS). 2- Calculate the OLS estimates of Bo and B1 and interpret these estimates.