which of the following scheduling times is needed to obtain the material if it is extrenally produced

To calculate the total surface area of a triangular prism, we need to find the area of each face and add them up.

The triangular faces have base 5cm and height 12cm, so each one has an area of:

(1/2) x 5cm x 12cm = 30cm²

There are two of these faces, so their combined area is:

2 x 30cm² = 60cm²

The rectangular faces have dimensions 5cm x 10cm and 5cm x 13cm, so their areas are:

5cm x 10cm = 50cm²

5cm x 13cm = 65cm²

Again, there are two of these faces, so their combined area is:

2 x (50cm² + 65cm²) = 230cm²

Finally, we add up the areas of all the faces to get the total surface area:

60cm² + 230cm² = 290cm²

Therefore, the total surface area of this triangular prism is 290cm².

A polynomial function f(x) of degree 3 with given zeros, 2, -3 , 5 and condition f(3)=6 is given by f(x) = -1/2 (x-2)(x+3)(x-5).

Degree of the polynomial function is equal to 3.

Zero's of the polynomial function is equal to 2, -3 , 5 .

And f(3) = 6

If 2, -3, and 5 are zeros of f(x), then we can write function as,

f(x) = a(x-2)(x+3)(x-5)

where a is some constant.

To determine the value of a, we can use the fact that f(3) = 6.

Substituting x = 3 into the equation above, we get,

f(3) = a(3-2)(3+3)(3-5)

     = -12a

Here we have,

f(3) = 6, so we can set these two expressions equal to each other and solve for a,

⇒ -12a = 6

⇒ a = -1/2

Now we can substitute this value of a back into the equation for f(x) that we found earlier,

⇒ f(x) = -1/2 (x-2)(x+3)(x-5)

Therefore, a polynomial function f(x) of degree 3 with zeros 2, -3, 5, and f(3) = 6 is equal to f(x) = -1/2 (x-2)(x+3)(x-5).

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Answer: \(\mu=15.64\)

Step-by-step explanation:

Let x be a random variable that represent the amount dispensed by a soft-drink dispensing machine which has a normal distribution with mean μ and standard deviation \(\sigma=\) 0.155 ounce.

To find : μ such that P(X>16)=0.01

Consider  P(X>16)=0.01

\(P(\dfrac{X-\mu}{\sigma}>\dfrac{16-\mu}{0.155})=0.01\)

Since, \(Z=\dfrac{X-\mu}{\sigma}\)

Also, z-table , one -tailed z-value for p-value of 0.01= 2.326

Then, \(\dfrac{16-\mu}{0.155}=2.326\)

\(\Rightarrow {16-\mu}=0.155\times2.326\\\\\Rightarrow {16-\mu}=0.36053\\\\\Rightarrow\ \mu=16-0.36053=15.63947\approx15.64\\\\\Rightarrow\ \mu=15.64\)

Answer: False, False, True, False, True

Step-by-step explanation: JUST DO IT! MAKE YOUR DREAMS COME TRUE!

Answer:

V = pi R^2 * h       volume of cylinder    (area of base * height)

pi R^2 = 64 / 8 = 8

R^2 = 8 / pi = 2.865

R = 1.69 ft

The boxplot required to answer the question has been attached below

Answer:

E

Step-by-step explanation:

The maximum value on a box plot can be obtained by taking the value at the end of the whisker positioned to the right of the box in the boxplot. From the boxplotvgiven above, the maximum value provided by the endpoint of the right hand side whisker is 48. The 48 point mark is labeled as E in the plot.

Hence, the letter depicting the maximum value position on the box plot is the letter E

Answer:

Step-by-step explanation:

3/8=0.375

11/16=0.6875

0.375+0.6875=1.0625

Answer:

a

Step-by-step explanation:

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Answer:

  $110

Step-by-step explanation:

At an average rate of $3 per day, in 14 days Brian will have spent ...

  ($3/day)(14 days) = $42

If he has $68 left, then he must have started with ...

  $68 +42 = $110

Answer:

Part A:

1. Computation of Basic EPS

Basic EPS = (Net Income - Preferred Dividends) / Weighted Average Shares Outstanding²

Net Income = $120,000

Preferred Dividends = 4% x $50,000 = $2,000

Weighted Average Shares Outstanding = 100,000 (assuming no change in common stock during the year)

Basic EPS = ($120,000 - $2,000) / 100,000

Basic EPS = $1.18

2. Individual dilution/anti-dilution with decision making

We need to check if any of the convertible securities or stock options are dilutive or anti-dilutive by comparing their impact on EPS with the basic EPS.

Convertible Preferred: Each preferred share can be converted into 1.9 common shares (1,900 / 1,000). The conversion would increase the common shares outstanding by 1,900 and decrease the preferred dividends by $2,000.

EPS after conversion = ($120,000 - $0) / (100,000 + 1,900)

EPS after conversion = $1.16

Since this is lower than the basic EPS of $1.18, the convertible preferred is dilutive and should be included in the diluted EPS calculation.

Stock Options - A: Each option can be exercised at $12 to buy one common share when the average market price is $11. This means that the options are out of the money and would not be exercised by the holders. Therefore, they have no impact on EPS and are anti-dilutive.

Stock Options - B: Each option can be exercised at $7 to buy one common share when the average market price is $8. This means that the options are in the money and would be exercised by the holders. The exercise would increase the common shares outstanding by 4,000 and generate cash proceeds of $28,000 ($7 x 4,000). The cash proceeds can be used to buy back some common shares at the market price of $8. The number of shares bought back is 3,500 ($28,000 / $8). The net increase in common shares outstanding is 500 (4,000 - 3,500).

EPS after exercise = ($120,000 - $2,000) / (100,000 + 500)

EPS after exercise = $1.17

Since this is lower than the basic EPS of $1.18, the stock options - B are dilutive and should be included in the diluted EPS calculation.

Convertible Bonds: Each bond can be converted into 40 common shares (40,000 / 1,000). The conversion would increase the common shares outstanding by 40,000 and decrease the interest expense by $50,000 ($1,000,000 x 5%). The interest expense is net of tax, so we need to multiply it by (1 - tax rate) to get the after-tax amount. The tax rate is 30%.

EPS after conversion = ($120,000 - $2,000 + $50,000 x (1 - 0.3)) / (100,000 + 40,000)

EPS after conversion = $1.19

Since this is higher than the basic EPS of $1.18, the convertible bonds are anti-dilutive and should be excluded from the diluted EPS calculation.

3. Ranking of potential dilutors

We need to rank the potential dilutors from the most dilutive to the least dilutive based on their impact on EPS.

The most dilutive security is the convertible preferred with an EPS of $1.16.

The second most dilutive security is the stock options - B with an EPS of $1.17.

The least dilutive security is the convertible bonds with an EPS of $1.19.

4. Step-by-step inclusion of individual dilutors to arrive at reportable EPS with decision making.

We need to include the potential dilutors in order of their dilution until we reach a point where the next security would be anti-dilutive.

The first security to include is the convertible preferred.

EPS with convertible preferred = ($120,000 - $0) / (100,000 + 1,900)

EPS with convertible preferred = $1.16

The next security to include is the stock options - B.

EPS with stock options - B = ($120,000 - $0) / (100,000 + 1,900 + 500)

EPS with stock options

Answer:

The answer to your problem is, D. The range is the best measure of variability, and it equals 32.

Step-by-step explanation:

We know the scores earned in a flower-growing competition are represented in the stem-and-leaf plot.

The key will equal 2|1 means 21

Which we conclude to 17, 19, 21, 25, 29, 30, 31, 32, 46, 49.

Quartile:

Median, Minimum, Maximum, & Range:

Thus the answer to your problem is, D. The range is the best measure of variability, and it equals 32.

a. The monthly contribution from a friend's company is $120 minus 0.5, or $60.

b. The total monthly contribution to the fund is $180.

The computation of FV in Excel is shown in the attachment below:

Using the current number as a starting point, subtract the prior value to determine the growth rate. To calculate the growth rate in percentage terms, divide the difference by the previous amount and multiply the result by 100. Growth Rate equals (Ending Value - Beginning Value) - 1. The year-over-year (YoY) growth rate of a business, for instance, would be 20% if its revenue increased from $100 million in 2020 to $120 million in 2021.

GDP, turnover, wages, etc., all have growth rates that reflect how much they have changed over time (month, quarter, year). Percentages are a pretty common way to communicate it.

20 years is the age.

20 times 12 periods equals 240.

3% growth rate

The computation of FV in Excel is shown in the attachment below:

So, FV= $7,223,115.77

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Answer:

55860

Step-by-step explanation:

This way super dupper easy

Answer:

V is approximately 11.81

Step-by-step explanation:

We use the sine rule

V/sin 98 = 10/sin 57

Cross multiply

V * sin 57 = 9.90268068

V = 9.90268068/sin 57

V= 11.80759295

V ~ 11.81

we are given the following equation

we are asked to find the slope of the line. To do that let's first remember the general form of a line equation, that is:

where "m" represents the slope, and "b" the y-intercept. This means that in the slope-intercept form, the slope is the number that multiplies the "x" variable, and the y-intercept is the constant. In the given equation, the number that multiplies the "x" is -3/2, therefore, the slope of that line is -3/2.

Answer:

x − 43 = 90

Step-by-step explanation:

2x + 43 = 180

2x − 43 = 90

x + 43 = 180

x − 43 = 90

Answer:

5/16

Step-by-step explanation:

5/16

1/8+1/8+1/16=5/16

The inversion point of (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0 is (6, 7).

To find the inversion point of the given point (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0, we need to follow these steps:

Step 1: Write the equation of the given circle in standard form by completing the square for x and y: (x - 2)² + (y - 3)² = 16.

Step 2: Find the radius of the circle by taking the square root of the constant term: r = √16 = 4.

Step 3: Find the distance between the given point (4, 5) and the center of the circle (2, 3) using the distance formula: d = √[(4 - 2)² + (5 - 3)²] = √8.

Step 4: Use the formula for inversion point to find the coordinates of the inversion point (x', y'): (x', y') = (h + r²/d² * (x - h), k + r²/d² * (y - k)), where (h, k) is the center of the circle and r is the radius.

Plugging in the values, we get: (x', y') = (2 + 4²/8 * (4 - 2), 3 + 4²/8 * (5 - 3)) = (6, 7).

Therefore, the inversion point of the given point (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0 is (6, 7).

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Answer:

Polynomial

Step-by-step explanation:

Answer: $10.90

Step-by-step explanation:

Skittles-1.44

M&M's-3.744

Pretzels-5.72

Not sure if its a typo, thats if theres 3.12lbs of of M&M's

The answer is theres 312 M&M's is 374.4

The rate of change of the simple index over one day is approximately 12.78%.

To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.

On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:

Total value of Stock A on Monday = 5000 * $2.75 = $13,750

Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:

Total value of Stock B on Monday = 3000 * $4.30 = $12,900

The total value of the index on Monday is the sum of the values of Stock A and Stock B:

Total value of the index on Monday = $13,750 + $12,900 = $26,650

On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.

The total value of Stock A on Tuesday is:

Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500

The total value of Stock B on Tuesday is:

Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550

The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:

Total value of the index on Tuesday = $15,500 + $14,550 = $30,050

To calculate the percent change in the index, we use the formula:

Percent Change = ((New Value - Old Value) / Old Value) * 100

Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%

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Answer:

vgshsnsns that's good hahahah hahaahhah

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.

In this polynomial, we have:

Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)

Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)

Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)

Term 4: -1 (This is a constant term with a degree of 0.)

We can see that there are four distinct terms separated by addition and subtraction operations:

18x³, -2x², 4x, and -1.

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Answer:

The rate at which the distance from the plane to the station is increasing when it is 5 miles away from the station is 421 mi/hr

Step-by-step explanation:

Assume a plane flying horizontally at an altitude of 2miles

h= 2

Considering speed 460mi/hr

Let \(\frac{db}{dt}= 460mi/hr\)

Let the distance from the plane to the station be 'c'

c= 5miles

\(\frac{dc}{dt}\) = ?

h is constant , so \(\frac{dh}{dt} =0\)

The plane diagram is attached below ,

now,

Using pythagorean theorem ,

\(h^2+b^2 =c^2\)

\(2^2+b^2 =5^2\)

\(4+ b^2= 25\)

\(b^2=21\)

\(b=\sqrt{21}\)

Now, differentiate with respect to 't'

\(2h\frac{dh}{dt} +2b\frac{db}{dt} =c\frac{dc}{dt}\)

divide by  2,

\(h\frac{dh}{dt} +b\frac{db}{dt} =c\frac{dc}{dt}\)

\(2(0)+ (\sqrt{21}(460) =5\frac{dc}{dt}\)

       \(\frac{dc}{dt} =\frac{460(\sqrt{21})}{5}\)

        =     421.36 mi/hr

        = 421 mi/hr

Hence , the answer is 421 mi/hr

The rate at which the distance from the plane towards the station would be  increasing when it's 5 miles away from the station will be:

"421 mi/hr".

According to the question,

Altitude, h = 2 miles

Speed, \(\frac{db}{dt}\) = 460 mi/h

Distance from plane, c = 5 miles

Let,

Constant, h = 0

By using Pythagoras theorem,

→ h² + b² = c²

By substituting the values,

(2)² + b² = (5)²

    4 + b² = 25

          b² = 25 - 4

               = √21

By differentiating with respect to "t", we get

→        2h \(\frac{dh}{dt}\) + 2b \(\frac{db}{dt}\) = c \(\frac{dc}{dt}\)

By substituting the values,

   2(0) + √21 × 460 = 5 \(\frac{dc}{dt}\)

                            \(\frac{dc}{dt}\) = \(\frac{460(\sqrt{21} )}{5}\)

                                = 421 mi/hr

Thus the above answer is appropriate.  

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Answer:

138 degrees

Explanation:

Two angles are said to be Supplementary if they add up to 180 degrees.

Given that Angles A and B are supplementary and:

Therefore:

Therefore, the measure of angle B will be:

The measure of angle B is 138 degrees.