A line with a slope of 6 passes through the points (–4, w) and (–3,9). What is the value of w? what does w equal.

Answer:

x > 2/3

Step-by-step explanation:

2x -x - 2 > 0  

add 2x and x (It becomes 3x)

3x -2 >0

subtract 0 from both sides

3x> 2

divide 3 on both sides

And the answer is

X> 2/3

Answer: B (65%)

Step-by-step explanation:

Let's start with what we know. Since your sister has 80 cupcakes and she gave you 28, that means she kept 52 for herself. So she has 52 of the total 80 which can also be written as:

52/80

This can be simplified to:

13/20

Now when getting percents we need to make the fraction something/100 so to do that with this fraction we can just multiply by 5 to get:

65/100

So the percent is B) 65

Answer:

B

Step-by-step explanation:

The height of the tree after 12 years is 21.401 feet.

In this problem we find the case of a tree that grows exponentially, the height of the tree is defined by the following formula:

h = a · (1 + r / 100)ⁿ

Where:

If we know that a = 4 ft, r = 15 and n = 12, then the final height of the tree is:

h = 4 · (1 + 15 / 100)¹²

h = 21.401

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Answer: {4,5,6}

Step-by-step explanation: Sets could be explained as a representation of elements which could be numbers, alphabets or a collection of items which are wrapped inside a curly bracket {}. Generally in mathematical or statistical parlance, once elements are wrapped around curly braces, the collection of those emmts is called a set. And therefore, set arithmetic such as union, intersection, complement e.t.c can be performed on elements of the given set. Elements wrapped in curly braces signifies that the elements reperesents an entire entity.

In the question given above, {7,8,9} reperesents a set containing three elements : 7, 8,9.

The value on the table above will be $30.6. Then the correct option is D.

The quantity of anything is stated as though it were a fraction of a hundred.

Raj was friends with his waitress, so he left her a 90 percent tip.

If his tip was $27.54.

Then the value in the table above will be

⇒ $27.54 / 0.90

⇒ $30.6

Then the correct option is D.

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Answer:

Step-by-step explanation:

Natural numbers                   Perfect cubes

 0                                            0

 7                                             7 * 7 * 7 = 343

10                                            10 * 10 * 10 = 1000

12                                            12 * 12 * 12 =  1728

15                                             15 * 15 * 15 =  3375

20                                            20 * 20 *20 = 8000

Answer:

Only 1 flavour ??

Only 1 flavour ??anyway ....

Only 1 flavour ??anyway ....number of different ice cream desserts

desserts= 3 x 1 x 4

= 12

Answer:

You would count another table for the remainder. Therefore, 8 tables are needed to seat 63 people. It does not matter whether all seats are filled on the 8th table.

The value of p in the given equation is -1.

Given is an equation p-3 = -4, we need to find the value of p,

So,

p-3 = -4

p = -4+3

p = -1

Hence, the value of p in the given equation is -1.

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When sales are under $15,000, the current job pays less than the new offer. The new job offer is therefore favoured for sales below $15,000.

a)   Wc = 2000+.07S

b)  Wn =2300+.05S

c)  When the totals are similar, the sales level at which she would not care

   2000 + .07S = 2300 + .05S

   subtract .05S from both sides

    2000 +.02S = 2300

   subtract 2000 from both sides

    .02S = 300

   divide both sides by .02

   S = 300/.02 = 15000

Sales of $15,000 equate to identical pay.

If we apply the same calculation, substituting less than for the = sign... The result of our equation is

2000 + .07S < 2300 + .05S

S < 15000

The present employment pays less than the new offer when sales are under $15,000. Therefore, the new job offer is preferred for sales below $15,000.

check:  Let S = 10,000

Wc = 2000+.07(10000) = $2700

Wn = 2300 + .05(10000) = $2800

As can be seen, at sales of $10,000 the new job earns more.

The complete question is:

A salesperson receives a monthly salary $2000 plus commission of 7% of sales. she is offered a new job at $2300 per month plus commission of 5% os sales.

a) write a linear equation for her current wage W in terms of her monthly sales S.

b)write a linear equation for her monthly wage W of the job offer in terms of her monthly sales S.

c) what level of sales will make her indifferent between the two jobs? Which scheme is preferred when sales are below this level?

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Answer:

one, x = 7

Step-by-step explanation:

7(x - 2) + 5 = 3 (2x - 1) + 1

reduce:

7x - 14 + 5 = 6x - 3 + 1

x = 7

Answer:

-1220703125 is the 14th term of the geometric sequence.

Step-by-step explanation:

The following geometric sequence has the common ratio of -5 as -5/1 = -5 and 25/-5 = -5.

Then apply in the geometric sequence formula which is:

\(\displaystyle{a_n = a_1r^{n-1}}\)

where \(a_n\) represents the nth term, \(a_1\) is the 1st term and \(r\) is the common ratio. Substitute in the known values:

\(\displaystyle{a_n = 1\left(-5\right)^{n-1}}\\\\\displaystyle{a_n = \left(-5\right)^{n-1}}\)

Since we want to find the 14th term of the sequence, substitute n = 14:

\(\displaystyle{a_{14}=\left(-5\right)^{14-1}}\\\\\displaystyle{a_{14}=\left(-5\right)^{13}}\\\\\displaystyle{a_{14}=-1220703125}\)

The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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When solving an oblique triangle given three sides, use the inverse cosine form of the Law of cosines to solve for an angle.

When solving an "oblique-triangle" given three sides, we would use the inverse cosine, form of the Law of Cosines to solve for an angle.

The "Inverse-Cosine" function allows us to find the measure of an angle when given the ratio of the lengths of the triangle's sides.

The "Law-of-Cosines" relates the lengths of the sides of a triangle to the cosine of one of its angles.

The "Law-of-Cosines" states that for any triangle with sides of lengths a, b, and c, and opposite angles A, B, and C, respectively:

⇒ c² = a² + b² - 2ab × cos(C),

To solve for an angle, we would rearrange the equation to find the cosine of the angle,

⇒ Cos(C) = (a² + b² - c²)/(2ab),

Then, we will take the inverse cosine of both sides of the equation to find the value of the angle,

⇒ C = cos⁻¹((a² + b² - c²)/(2ab)),

This helps us to find the measure of angle C, depending on the units used in the original triangle sides.

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The given question is incomplete, the complete question is

When solving an oblique triangle given three sides, use the _____ form of the Law of cosines to solve for an angle.

Answer:

To see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportional ratios.

Step-by-step explanation:

Answer:

A proportional table has a constant of proportionality in that y divided by x always equals the same value

Step-by-step explanation:

Answer:

The coefficient of determination or R-squared is a metric used to evaluate how well the regression line fits the data. It quantifies the percentage of variation in the dependent variable that can be accounted for by the independent variable(s). R-squared values lie between 0 and 1, with higher values indicating a better fit of the regression line to the data. For example, an R-squared value of 0.8 indicates that 80% of the variability in the dependent variable can be explained by the independent variable(s).

The slope of the line containing (7,-3) and (-8,-3) is  Zero(0).

The slope of a straight line can be written as follows,

m =  \((y_{2} - y_{1} )/(x_{2} - x_{1} )\)                 equation1

The line is containing the points (-3,3) and (4,3). So, we can write

\(y_{2}\) = -3 , \(y_{1}\) = -3 , \(x_{2}\) = -8 , and \(x_{1}\) = 7 .

On substituting the values of variables in equation1, we will get

m = ( (-3)-(-3) ) / ( (-8)-(7) ) = (0/(-15)) = 0.

As the slope of a line is Zero(0), so we can conclude that the given line is a straight line.

Here:

m = the slope of the line

( \(x_{1}\) , \(y_{1}\) ) are the first coordinates.

( \(x_{2}\) , \(y_{2}\) )are the second coordinates.

The slope of the line containing  (7,-3) and (-8,-3) is  Zero(0).

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Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

To use the degree 2 Taylor polynomial centered at the origin for f, we first need to find the polynomial. The degree 2 Taylor polynomial for f centered at the origin is given by:

P(x) = f(0) + f'(0)x + (f''(0)/2)x^2

where f(0) = √4 = 2, f'(0) = 1/2(4+x)^(-1/2) evaluated at x=0 is 1/4 and f''(0) = (-1/2)(4+x)^(-3/2) evaluated at x=0 is -1/8.

So, we have:

P(x) = 2 + (1/4)x - (1/16)x^2

Now we can use P(x) to estimate the value of the integral I.

I = ∫20 f(x)dx ≈ ∫20 P(x)dx

= ∫20 (2 + (1/4)x - (1/16)x^2) dx

= 2x + (1/8)x^2 - (1/48)x^3 |[0,2]

= 4 + (1/2) - (1/12)

= 25/6

Therefore, I ≈ 25/6, which is closest to option (4) I ≈ 14/3.

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If segment BD is congruent to segment BC, and BD = 4x - 18, BC = x + 3, and AC = 34, then AB = 31/x.

Let the equation be AB + BC = AC

substitute the values in the above equation, we get

AB + x + 3 = 34

simplifying the value of x,

Subtract A B from both sides AB + x + 3 - AB = 34 - A B

x + 3 = 34 - AB

Subtract 3 from both sides,

x + 3 - 3 = 34 - AB - 3

x = -AB + 31

Plug in this value of x into the line segments to find BC and AC.

Where, BC = x + 3

substitute the value of x in the above equation, we get

BC = [-AB + 31 ] + 3

BC = -AB + 34

Then, AB + BC = AC

x = -AB + 31

AB = 31/x

Hence, If segment BD is congruent to segment BC, and BD = 4x - 18,

BC = x + 3, and AC = 34, then AB = 31/x.

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The probability of selecting a 7 on the first draw is 1/40, since there are 40 equally likely numbers to choose from. The probability of selecting a 7 on the second draw is 1/10, since there are 10 equally likely numbers to choose from. Since these events are independent, we can multiply the probabilities to find the probability of selecting a 7 both times:

1/40 * 1/10 = 1/400

So the probability of selecting a 7 both times is 1/400, or 0.0025.

To find the probability of selecting a 7 both times, we'll calculate the individual probabilities and then multiply them.

There are 40 numbers from 0 to 39 (inclusive) and only one of them is 7. So, the probability of selecting a 7 in the first draw is 1/40.

There are 10 numbers from 0 to 9 (inclusive) and again only one of them is 7. So, the probability of selecting a 7 in the second draw is 1/10.

Now, multiply the probabilities: (1/40) * (1/10) = 1/400.

The probability of selecting a 7 both times is 1/400.

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True. A budget is a numerical representation of an organization's plan for the future.

It is employed to forecast the organization's anticipated earnings and costs for a given timeframe, typically a fiscal year.

This makes it easier for the business to calculate how much cash it will need to pay its bills and how much it may set aside for investments in the future.

The budget aids the business in making plans for unforeseen circumstances like a decline in sales or an increase in expenses.

The company may more effectively decide how to spend its resources and establish long- and short-term plans by using numerical data to forecast demands.

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Answer:

-249/28

Step-by-step explanation:

Answer:

freepoints.exe

Step-by-step explanation:

Answer:

it is trinomial

degree: 4

coefficients: 9,6,4

constants: 0

The synergy from the merger is $4,125,000.

To calculate the synergy from the merger, we need to compare the value of Fly-By-Night before and after the acquisition of Flash-in-the-Pan Restaurants. The synergy represents the additional value created through the combination of the two firms.

Given that the purchase of Flash-in-the-Pan Restaurants is expected to increase Fly-By-Night's annual after-tax cash flow by $330,000 indefinitely, we can calculate the present value of this incremental cash flow using the appropriate discount rate of 8 percent.

Present Value of Incremental Cash Flow = Incremental Cash Flow / Discount Rate

Present Value of Incremental Cash Flow = $330,000 / 0.08

Present Value of Incremental Cash Flow = $4,125,000

Now, we can determine the value of Fly-By-Night after the merger by adding the present value of the incremental cash flow to its current market value:

Value of Fly-By-Night after Merger = Current Market Value of Fly-By-Night + Present Value of Incremental Cash Flow

Value of Fly-By-Night after Merger = $23 million + $4,125,000

Value of Fly-By-Night after Merger = $27,125,000

The synergy from the merger can be calculated by subtracting the market value of Fly-By-Night before the merger ($23 million) from the value of Fly-By-Night after the merger ($27,125,000):

Synergy = Value of Fly-By-Night after Merger - Current Market Value of Fly-By-Night

Synergy = $27,125,000 - $23 million

Synergy = $4,125,000

Therefore, the synergy from the merger is $4,125,000. This represents the additional value that would be created through the acquisition of Flash-in-the-Pan Restaurants by Fly-By-Night.

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Answer:

f(x) = ax +b

Step-by-step explanation:

they form a straight line on a graph that is how you know

Question 3: By default, Tableau considers categorical data to be dimensions and quantitative data to be measures. True or False?

Answer: True

Tableau is a powerful data visualization software that allows users to explore, analyze and visualize data from various sources. In Tableau, data is classified into two categories: dimensions and measures. Dimensions are categorical variables that describe the data, such as names, dates, regions, and product categories. Measures are quantitative variables that represent the data's numerical values, such as revenue, profit, and quantity. By default, Tableau considers categorical data to be dimensions and quantitative data to be measures, but you can also change this setting in Tableau according to your needs.

Question 4: In Tableau, green pills represent measures and blue pills represent dimensions. True or False?Answer: FalseExplanation:In Tableau, green pills represent dimensions, and blue pills represent measures. Dimensions are discrete fields used to categorize, group, or filter data, while measures are continuous fields that are used to perform mathematical operations, such as sum, average, minimum, maximum, and count. You can drag a dimension or measure field from the Data pane to the Rows or Columns shelf in Tableau to create a view. Green pills can be used to add dimensions to the view, while blue pills can be used to add measures to the view.

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