Lim -3 U^4-81/u^3-27

Answer:

x=-1 or x=4

Step-by-step explanation:

First divide by 4 to get rid of the factor 4 at x², then you have:

x² - 3x - 4 = 0

to factor that, look for two numbers that when added, give -3, and when multiplied, give -4. This is guesswork but usually doable:

-4 + 1 = -3

-4 * 1 = -4

so -4 and +1 are our numbers.

The factorization is therefore: (x - 4)(x + 1) = 0, and the solutions are

x-4 = 0 or x+1 = 0, so x=4 or x=-1

Answer:

First choice: (2, 5) (3, 5).
Third choice: (7, -4) (-4, 7) (4, 7)

Fifth choice: (6, 8) (-2, 8) (100, 8), (0.7, 8)

Step-by-step explanation:

If  a(b) is to be a function it must satisfy the vertical line test

What Is Vertical Line Test?

In a vertical line test, you draw a vertical line parallel to the y-axis that cuts the graph. If there is only one point  where it cuts the line, then the equation and the graph represent a function

Putting it in other words, there can be only one y-value for a specific x-value. If a single x-value generates more than one y-value it is not function

As an example look at the attached image (this is from the site CueMath)

The graph on the left is y = x² and you can see that any vertical line cuts the graph at only one point. So y = x² is a function

The graph on the right is x = y² and a vertical line drawn will cut the graph at two points so x=y² or equivalently y² = x is not a function

With this knowledge, let's examine each of the 5 choices given

First option: (2, 5) (3, 5).
This can represent a function since for x = 2 there is only one y value and for x = 3 there is only one y value and that is 5. Do not be confused that the y-values are the same for two different x values.

This could represent a horizontal line on the graph

Second option: (5, 2), (5, 3)
This cannot be a function because for the same x value of 5 we get two different y values, 2 and 3

Third option: (7, -4) (-4, 7) (4, 7)
This can represent a function since for any value of x there is a unique value for y. Again it does not matter that -4 and 4 are two different x values which yield the same y value for the reasons specified under option 1

Fourth option: (7, -4) (-4, 7), (-4, -7)
Cannot be a function for reasons stated under option 2. x value of -4 results in two different values for y

Fifth option: (6, 8) (-2, 8) (100, 8), (0.7, 8)
Can represent a function for reasons stated under option 1

Answer:

224

Step-by-step explanation:

360.-136.

Answer:

5u - 23

Step-by-step explanation:

Answer:

4( 2u - 2) - 3(u + 5)​

(4*2u + 4*-2)-(3*u + 3*5)

8u-8-3u+15

8u-3u-8+15

5u+7

Step-by-step explanation:

I hope this helped you.

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Have a great day!!!!!!!!!

Answer:

∠4= 115°

Step-by-step explanation:

∠4= 115° (vertically opposite angles are equal, parallel lines)

Option 2 is the experiment design that is most suitable. From 1 to 1,200, number each item.

Identify 800 distinct integers between 1 and 1,200 from a table of random digits, reading from left to right. Assign the first 400 objects with labels to the process 1 group. Assign the procedure 2 group the items with labels in the second 400 numbers. Give the procedure 3 group the remaining elements.

Each item has an equal probability of being assigned to one of the three treatment groups because to this design. The researchers produce an extensive and non-overlapping collection of labels for the objects by numbering each item from 1 to 1,200.

The researchers can use a random digits table to randomly select 800 unique numbers between 1 and 1,200. This random selection process ensures that the assignment of items to the treatment groups is unbiased and avoids any systematic patterns or preferences.

By assigning the first 400 numbers to the process 1 group, the second 400 numbers to the process 2 group, and the remaining items to the process 3 group, the researchers ensure that each group has an equal size. This equal distribution of items among the treatment groups helps to eliminate potential sources of bias or imbalance in the comparison.

Overall, this design allows for a fair and random allocation of items to the three treatment groups, providing a solid foundation for comparing the different processes in terms of time to deploy and reliability.

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Answer:

7.5 cm

Step-by-step explanation:

40:1

× by 7.5 to get 300 km so do the same to the other side (1) and you get 7.5 cm

sorry if its incorrect

Answer:

41.93 degrees

Step-by-step explanation:

Answer:

4+3+6+2 = 15

Step-by-step explanation:

selecting a yellow marker 4/15

selecting a red marker 2/15

1.1. Accumulated depreciation:

The accumulated depreciation for the machine bought on 1 July 2013 would be R150,000 as of 31 March 2016.

1.2. Machine realization:

The machine bought in 2013 was sold for R120,000 on 30 June 2015, resulting in a profit/loss on the sale of R10,000.

1.1. Accumulated Depreciation:

To calculate the accumulated depreciation, we need to determine the annual depreciation expense for each machine and then accumulate it over the years.

Machine bought on 1 July 2013:

Cost: R250,000

Depreciation rate: 20% per annum on cost

Depreciation expense for the year ended 31 March 2014: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2015: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2016: 20% of R250,000 = R50,000

Accumulated depreciation for the machine bought on 1 July 2013:

As of 31 March 2014: R50,000

As of 31 March 2015: R100,000

As of 31 March 2016: R150,000

1.2. Machine Realisation:

To record the sale of the machine bought in 2013, we need to adjust the machine's value and the accumulated depreciation.

Machine's original cost: R250,000

Accumulated depreciation as of 30 June 2015: R100,000

Net book value as of 30 June 2015:  

R250,000 - R100,000 = R150,000.

On 30 June 2015, the machine was sold for R120,000.

Realisation amount: R120,000

To record the sale:

Debit Cash: R120,000

Debit Accumulated Depreciation: R100,000

Credit Machine: R250,000

Credit Machine Realisation: R120,000

Credit Profit/Loss on Sale of Machine: R10,000 (difference between net book value and realisation amount).

These entries will reflect the appropriate balances in the ledger accounts and properly close off the accounts for the years ended 31 March 2016.

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Given triangles, XZW and XZY are right-angle triangles.

Using the Pythagorean theorem for XZW, we get

Using the Pythagorean theorem for XZY, we get

Using the Pythagorean theorem for WXY, we get

Answer:

\(x=2\)

Step-by-step explanation:

\(9 - 10x = 2x + 1 - 8x\)

\(9-10x=-6x+1\)

Subtract 9 from both sides:

\(9-10x-9=-6x+1-9\)

\(-10x=-6x-8\)

Add 6x to both sides:

\(-10x+6x=-6x-8+6x\)

\(-4x=-8\)

Divide both sides by -4:

\(\frac{-4x}{-4}=\frac{-8}{-4}\)

\(x=2\)

Answer:

x = 2

Step-by-step explanation:

9-10x = 2x+1-8x

1. move all like terms to one side

-10x-2x+8x = -9+1

2. simplify

-4x = -8

3. divide the -4 from both sides of the equation

x= -8/-4

4. x=2

1 gallon = 4 quarts.

2 gallons = 4 x2 = 8 quarts

She needs 8 quarts total and has 3 quarts.

8-3 = 5

She needs 5 more quarts.

Answer:

---------------------

Formula for area of a rectangle with dimensions l and w is:

Substitute 10 for l and 4 for w:

just 27-12 =15 ballons left

Answer:

B

Step-by-step explanation:

Use the pythagorean theorem to find the hypotenuse. You can do this by squaring 12 and 11 (separately) and then adding those together. You'll get 265. However, since this is c squared and not c, you have to find the square root for the correct answer. The square root of 265 is approximately 16.28. Hope this helps!

The required rate of return for the stock with a beta of 0.5 is 7.5% and for the stock with a beta of 2 is 15%.

Rate of return is the amount of profit or loss earned on an investment over a certain period of time, expressed as a percentage of the initial investment or total asset value.

A stock is a type of security that represents ownership in a company. Investors buy stocks to become shareholders and share in the company's profits and losses.

According to the given information:

The Capital Asset Pricing Model (CAPM) is expressed as:

R = Rf + beta*(Rm - Rf)

Where:

R = Required rate of return

Rf = Risk-free rate of return

beta = Beta coefficient (systematic risk)

Rm = Expected market return

Using the given values, we can compute the required rate of return for each stock:

Stock with beta of 0.5:

R = 5% + 0.5*(10% - 5%)

R = 7.5%

Stock with beta of 2:

R = 5% + 2*(10% - 5%)

R = 15%

Therefore, the required rate of return for the stock with beta of 0.5 is 7.5%, and the required rate of return for the stock with beta of 2 is 15%.

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Answer: y = 5x-2

Step-by-step explanation:

Answer:

1. To estimate the number of products sold after 48 months, we can assume that the sales follow a linear pattern over time. We can use the data given to find the rate of change (slope) of the line and then use that to predict the sales after 48 months.

Using the points (12, 4), (18, 7), and (36, 15), we can find the slope of the line that represents the sales:

slope = (15 - 7) / (36 - 18) = 8 / 18 = 4/9

Now we can use the point-slope form of a line to find the equation of the line:

y - 4 = (4/9)(x - 12)

where x is the number of months and y is the number of products sold.

To find the estimated number of products sold after 48 months, we can substitute x = 48 into the equation and solve for y:

y - 4 = (4/9)(48 - 12)

y - 4 = 16

y = 20

Therefore, we can estimate that the company will sell 20 thousand products after 48 months.

2. Yes, the number of products sold is a function of the amount of months. It is a linear function because the sales appear to follow a straight line over time, as we assumed in our calculation above. This means that for every increase of 1 month, the number of products sold increases by a constant rate of 4/9 thousand.

Step-by-step explanation:

4 or d object is moving away at an increasing speed

The Answer:

Width = 6

Step-by-step explanation:

Let width be w

(3w + 8) x w = 156

3 \(w^{2}\) x 8n - 156 = 0

(w + 8 x 6) (w-6) = 0

w = 6

Answer: Median

Step-by-step explanation:

some sport superstars are paid extremely huge salaries, but this is not always the case for all spott stars. Since the mean is largerly influenced by the large salaries the data becomes unrelaible When estimating the center but reliable when it comes down to representing the center. With this reason is why the median would be considered.

Answer:

  (c)

Step-by-step explanation:

You want the graph that has a domain of x ≥ 5.

The domain of a function is the set of x-values for which the function is defined. A domain of x ≥ 5 means the function is defined for x-values at least 5. The graph of the function will extend from x=5 indefinitely to the right.

Graph C is like that.

Answer:

Step-by-step explanation:

"Peace! break thee off" - Quiet! Stop talking.

"on by a most emulate pride" - provoked by extreme jealousy

"give him leave to go" - give him permission to go.

"Quotation" refers to a phrase or passage taken from a book, speech, or other source and repeated verbatim.

The question is a matching activity that requires you to match each quotation from the play Hamlet to its meaning.

"Peace! break thee off": This quote means "quiet! stop talking," and is said when someone is interrupting or speaking out of turn.

"on by a most emulate pride": This quote means "provoked by extreme jealousy." The phrase means that the speaker is driven or motivated by a strong feeling or emotion, in this case, jealousy.

"give him leave to go": This quote means "give him permission to go," and is said when someone wants to leave or be excused from a situation.

To correctly match the quotations with their meanings, you need to understand the context and tone of each quote in the play.

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Answer:

The approximate speed of the robot during the 5 seconds is:

Step-by-step explanation:

To calculate the speed of the robot, you must begin with the positions, the first position (3, 18) and the second position (31, 6), you can see, in the height it moved from 3 to 31, it means 28 feet, in the width it moves from 18 to 6, it means 12 feet, with these data you can construct a triangle where you have the opposite leg and adjacent leg, now you must calculate the hypotenuse, because it is the linear path from the first position to the second position that the robot took, for this, you can use the Pythagoras theorem:

With the value of the distance traveled, and the time used (5 seconds), we can calculate the speed with the next formula:

As you need the speed in the nearest whole number, then:

The price per unit when the demand equals 7000 units is $0, while the number of units demanded at a price $13.78 is 2000 units.

The correct equation of the question is as follows:

p = 50(5^(−q/2)) ................................... (1)

Where p is the price per unit and q is a thousand units of the commodity.

a.) The price p per unit at which the demand will equal 7000 units can be calculated as follows:

Substituting q = 7000 into equation (1) we have:

p = 50(5^(−700/2))

p = 50 * 5^(-450)

p = 50 * 0

p = $0

b.) The number of units, to the nearest thousand units, that will be demanded if the price is $13.78 can be calculated as follows:

Substituting p = 13.78 into equation (1) and solving for q, we have:

13.78 = 50(5^(−q/2))

13.78 / 50 = 5^(−0.5q)

0.2756 = 5^(−0.5q)

Taking the log of both sides, we have:

log0.2756 = −0.5q * log5

−0.559720786764412 = −0.5q * 0.698970004336019

−0.5q = −0.559720786764412 / 0.698970004336019

−0.5q  = −0.80077940869024

q = −0.80077940869024 / −0.5

q = 1.60155881738048

Since q is a thousand units, we have:

q = 1.60155881738048 * 1000 = 1601.55881738048

Rounding to the nearest thousand units, we have:

q = 2000

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Answer:

Since this is a proportional relationship,

We know that the number which are proportional are a multiple of each other

the number which we can multiply one of the numbers to get the other number is the constant of proportionality

we could check for proportionality by using the following formula:

p1 / s1 = p2/s2 = p3/s3 = p4/s4  if they were equal, we can say that the relation is proportional

The value of any of the above values, p1/s1 , p2/s2 , p3/s3 , p4/s4 is the constant of proportionality

Therefore, the constant of proportionality = 20 / 5 = 4

Answer:

Since this is a proportional relationship,

We know that the number which are proportional are a multiple of each other

the number which we can multiply one of the numbers to get the other number is the constant of proportionality

we could check for proportionality by using the following formula:

p1 / s1 = p2/s2 = p3/s3 = p4/s4  if they were equal, we can say that the relation is proportional

The value of any of the above values, p1/s1 , p2/s2 , p3/s3 , p4/s4 is the constant of proportionality

Therefore, the constant of proportionality = 20 / 5 = 4

Answer:

The rate of the boat is 35, and the rate of the current is 10.