the formula for calculating n!! what ?

Answer:

Step-by-step explanation:

The continuous division method is an effective method to determine the GCF of two or more numbers, aside from the listing method where we are listing down the common factors before determining the greatest among them.

In continuous division, we are just simply dividing the numbers by their common factors until such time that we find no more common factors except for 1 to them to be divided. After which, we will just multiply the common factors that we used to divide them. The result will be our GCF. Let us try the exercise given above:

1. Find the GCF of 24 and 72

               2   /    24      72

               2   /     12      36

               2    /      6       18

               3    /      3        9

                   /       1        3

Since we keep on dividing the numbers by 2 for 3 repetitions, we arrived at 3 and 9 by which  we divide by 3 and we get 1 and 3 which we can no longer divide. So the GCF is: 2x2x2x3 = 24

Therefore, the GCF of 24 and 72 is 24.

2. Find the GCF of 24, 32 and 48

                   2  /   24   32    48

                  2   /    12    16   24

                   2  /     6     8     12

                        /     3     4      6

So the GCF is: 2x2x2 = 8

Therefore, the GCF of 24, 32 and 48 is 8.

3. Find the GCF of 18, 27 and 45.

                3  /  18     27     45

                3  /    6      9      15

                    /    2      3       5

So the GCF is: 3x3 = 9

Therefore, the GCF of 18, 27 and 45 is 9.

4. Find the GCF of 24 and 36.

            2   /  24      36

            2   /  12       18

            3   /   6         9

                 /   2         3

So the GCF is 2x2x3 = 12

Therefore, the GCF of 24 and 36 is 12.

Answer:

your answer is A. the reason is because it has 2200 sqare units

Answer:

-2

Step-by-step explanation:

Apply the difference of two squares formula:

\(\displaystyle \large{(a-b)(a+b) = a^2-b^2}\)

Therefore:

\(\displaystyle \large{(3-\sqrt{11})(3+\sqrt{11}) = 3^2-(\sqrt{11})^2}\\\displaystyle \large{(3-\sqrt{11})(3+\sqrt{11}) = 9-11}\\\displaystyle \large{(3-\sqrt{11})(3+\sqrt{11}) = -2}\)

Therefore, -2 is the final answer.

__________________________________________________________

Summary

\(\displaystyle \large{(a-b)(a+b)=a^2-b^2}\)

\(\displaystyle \large{(\sqrt{a})^2 = a}\)

\((3 - \sqrt{11} )(3 + \sqrt{11} )\)

Use the identity (a-b)(a+b)=a²-b²

\( {3}^{2} - { \sqrt{11 }^{2} }\)

\(9 - 11\)

\( - 2\)

Thus, Option A is the correct choice!!~

The cost of the meal if a family has a 25% off coupon for a family of four between $60 and $100 is between $45 and $75.

A 25% off coupon is a discount price.

The cost of the meal if a family has a 25% off coupon for a family of four between $60 and $100 is calculated as follows:

For a $60 meal:

Cost of meal = $60 - 25% * $60

Cost of meal = $60 - $15

Cost of meal = $45

For a $100 meal:

Cost of meal = $100 - 25% * $100

Cost of meal = $100 - $25

Cost of meal = $75

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Complete question:

Predict the cost of a meal for a family of four between $60 and $100. Be sure to include dollars and cents.

Part A: If the family has a 25% off coupon, calculate the new price of the meal. Show all work or explain your steps. (6 points)

Answer:

Do it in this order

Step-by-step explanation:

5 3 1 2 4 6

Answer:

See below

Step-by-step explanation:

Profit A    20 000 * .16 = 3200

Profit B    12 000 * .14 =  1680

   total profit = 4880   for investing  32000

    4880 / 32000 = 15.25%

Answer: An implicit function is a function, written in terms of both dependent and independent variables, like y-3x2+2x+5 = 0. Whereas an explicit function is a function which is represented in terms of an independent variable.

Step-by-step explanation: To find the implicit derivative,

Differentiate both sides of f(x, y) = 0 with respect to x.

Apply usual derivative formulas to differentiate the x terms.

Apply usual derivative formulas to differentiate the y terms along with multiplying the derivative by dy/dx.

Solve the resultant equation for dy/dx (by isolating dy/dx).

Answer:

The answer is 50.

Step-by-step explanation:

Use MDAS

Multiplication, Division, Addition and Subtraction

2 + 6 * 8 =

Multiply first then add

2 + 6*8 = ?

= 2 + 48

= 50

Answer:

  6x² -36x +48

Step-by-step explanation:

The terms in one factor are each multiplied by the terms in the other factor. The resulting partial products are then combined. (This works the same as for numerical "long" multiplication.)

  (2x -8)(3x -6) = 2x(3x -6) -8(3x -6)

  = 6x² -12x -24x +48 . . . . . . . form partial products

  = 6x² -36x +48 . . . . . . . collect terms

Answer:

6x² - 36x + 48

Step-by-step explanation:

(2x-8)*(3x-6) = 2x*3x + 2x* -6 + -8*3x + -8*-6

6x² - 12x - 24x + 48

6x² - 36x + 48 [Answer]

PLEASE RATE!! I hope this helps!!

if you have any questions comment below!!

(I have verified my answer using an online calculator)

Answer:

The answer is 2/7.

Step-by-step explanation:

You have to cut out the common terms :

\( \frac{20x}{70x} \)

\( \frac{20}{70} \)

\( \frac{2}{7} \)

Answer

x=50+9

x=59

x=80/10

x=8

Step-by-step explanation:

Hope this helps u...

Answer:

X=59

x=8

Step-by-step explanation:

The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.

Let's calculate the fraction of the plot of land that is not occupied by the flowers.

Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.

After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.

Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.

Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.

To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:

1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.

Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.

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Answer:

P( yellow) =  8/23

P( blue or green) =  9/23

P(orange) = 0

Step-by-step explanation:

6 red, 5 green, 4 blue, and 8 yellow M&M's = 23  total

P( yellow) = yellow / total = 8/23

P( blue or green) = (blue+green) / total = (5+4)/23 = 9/23

P(orange) = orange/ total = 0/23

Answer:

there are 23 m&m's.

Step-by-step explanation:

Probability of getting red is 6/23

Probability of getting  green is 5/23

Probability of getting blue is  4/23

Probability of getting yellow is 8/23

Orange = red + yellow = 6+8/23

Probability of getting Orange = 14/23

The subsets of the set {e, n, t} are given as follows:

{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.

Considering a set with n elements, the number of subsets in the set is the nth power of 2, that is:

\(2^n\)

The set for this problem is given as follows:

{e, n, t}

The cardinality is given as follows:

n = 3.

Hence the number of subsets is given as follows:

2³ = 8.

The subsets are given as follows:

{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.

In which {} is the empty set.

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Answer:

x = 4

Step-by-step explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\)  ( substitute values )

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

The length of the arc KL in the given circle is 3.49 units

In a circle whose radius is R, the length of an arc defined by an angle x is given by:

Length = (x/360)*2*3.14*R

Here we know that the radius is 2 units, and the angle for the arc KL is 100°, then we can replace these values in the formula above so we get that the length of the arc is:

Length = (100/360)*2*3.14*2

Lenght = 3.49 units.

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In order to develop an equation, let's use the slope-intercept form of the linear equation:

Using the points (3, 13.5) and (5, 18.5) from the table, we have:

Subtracting the second and the first equation:

Now, finding the value of b:

So the equation that represents this table is y = 2.5x + 6

Looking at the options, the correct one is E (none of the above).

Answer:

a) The lower bound of the confidence interval is below 4.50 minutes, which means that there is not sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence.

b) The null hypothesis is \(H_0: \mu \leq 4.50\), and the alternate hypothesis is \(H_a: \mu > 4.50\)

Step-by-step explanation:

Finding the confidence interval:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.98}{2} = 0.01\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.01 = 0.98\), so Z = 2.327.

Now, find the margin of error M as such

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

\(M = 2.327\frac{2.1}{\sqrt{53}} = 0.67\)

The lower end of the interval is the sample mean subtracted by M. So it is 4.94 - 0.67 = 4.27 minutes

The upper end of the interval is the sample mean added to M. So it is 4.94 + 0.67 = 5.61 minutes.

a. Is there sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence?

The lower bound of the confidence interval is below 4.50 minutes, which means that there is not sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence.

b. State the null and alternative hypotheses for the test.

Testing if there is evidence to say that the mean wait time for customers is longer than 4.50 minutes, which is the alternate hypothesis.

So the null hypothesis is \(H_0: \mu \leq 4.50\), and the alternate hypothesis is \(H_a: \mu > 4.50\)

Answer:

About 60 pecent

Step-by-step explanation:

Answer: 832 possible outcomes

To find the total number of outcomes when a coin is tossed four times and a card is selected from a standard deck of cards, we need to multiply the number of outcomes for each event.

The number of outcomes for a coin toss is 2 (heads or tails), and we toss the coin 4 times. Therefore, the number of outcomes for the coin tosses is:

2 x 2 x 2 x 2 = 16

The number of outcomes when selecting a card from a standard deck of cards is 52. Therefore, the total number of outcomes when a coin is tossed four times and a card is selected from a standard deck of cards is:

16 x 52 = 832

So there are 832 possible outcomes when a coin is tossed four times and a card is selected from a standard deck of cards.

Answer:

Step-by-step explanation:

To solve this problem, we can start by simplifying the expressions for a and b:

a = (√2+1)/(√2-1) * (√2+1)/(√2+1) = (3 + 2√2)

b = (√2-1)/(√2+1) * (√2-1)/(√2-1) = (1 - 2√2)

Now we can substitute these expressions into a²+ab+b² and simplify:

a² + ab + b²

= (3 + 2√2)² + (3 + 2√2)(1 - 2√2) + (1 - 2√2)²

= 9 + 12√2 + 8 + 3 - 4√2 - 4√2 - 2 + 4√2 + 4

= 24

Therefore, a²+ab+b² equals 24.

Answer:

answer of above question is B. 6 1/4

The distance from the safe zone after t seconds is D(t) = 166 - 24t given that drove to get to the safe zone at 24 meters per second and after 4 seconds of driving, she was 70 meters away from the safe zone. This can be obtained by converting the conditions to equations.

A linear function containing one dependent and one independent variable.

It can be represented using the equation,

y = mx + c

where m is the slope

It is given in the question that,

Rachel is a stunt driver and one time during a gig where she escaped from a building about to explode she drove to get to the safe zone at 24 meters per second.

After 4 seconds of driving, she was 70 meters away from the safe zone.

Let, D(t) be the distance to the safe zone (measured in meters) and t be the  time (measured in seconds)

After 4 seconds of driving, she was 70 meters away from the safe zone.

⇒ This means that at t = 4 seconds, D(4) = 70 meters

Rachel's rate is the slope of the function D(t). Since the distance is decreasing when the time is increasing, the slope must be negative

⇒ m = - 24

y = mx + c

⇒ D(t) = (-24)t + c

Put t = 4,

D(4) = (-24)4 + c

70 = -96 + c ⇒ c = 166

⇒ D(t) = 166 - 24t

Hence the distance from the safe zone after t seconds is D(t) = 166 - 24t given that drove to get to the safe zone at 24 meters per second and after 4 seconds of driving, she was 70 meters away from the safe zone.

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Answer:

Step-by-step explanation:

(-8 - 0)/(-4 - 8)= -8/-12 = 2/3

The slope of the line that passes through the points (8, 0) and (-4, -8) exists at 0.66667.

The slope or gradient between two points in the Cartesian coordinate system. The slope exists the amount of slant a line retains and can maintain a positive, negative, zero, or undefined value.

Using the slope formula \((y_2 - y_1)/(x_2 - x_1)\)

\(x_1 = 8, y_1 = 0\) and \(x_2 = -4 , y_2= -8\)

slope \(= (y_2 - y_1)/(x_2 - x_1)\)

= ((-8) - 0) / ((-4) - (8))

= (-8) / (-12) = (-2) / (-3)

= 0.66667

Therefore, the slope of the line that passes through the points (8, 0) and (-4, -8) exists at 0.66667.

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multiply the actual length by the scale:

9 x 1/12 = 9/12 = 3/4

Answer: 3/4

Answer:

6 units

Step-by-step explanation:

Both units lie on the -5 x-axis, so you only have to look at the difference in the y-axis. Going from -2 to -8 is a 6 unit difference.

Hope this helps :)

An odd integer can be expressed as x = 2n+1 where n is an integer. (Therefore making 2n an even number and 2n+1 an odd number).

Three consecutive odd integers can then be expressed as  (2n+1), (2n+3), and (2n+5).

The sum of the first two integers is (2n+1) + (2n+3) = 4n+4 = 4(n+1). It is supposed to be 24 less than 4 times the third integer, or

4(2n+5)-24.

Setting both equal and solving for n:

4(n+1) = 4(2n+5)-24

24 = 4·6, so you can factor out 4 in the right-hand expression.

4(n+1) = 4(2n+5-6)   or   4(n+1) = 4(2n-1)

Cancel out factor 4 and solve for n.

n+1 = 2n-1      this yields   n=2

Now plug in into your three consecutive odd integer expressions:  (2n+1) = 5, (2n+3) = 7, (2n+5) = 9. The sum is therefore 5+7+9 = 21.

Double check your answer:  

Sum of first two integers:  5+7 = 12

24 less than 4 times third integer:  4·9 - 24 = 36-24 = 12.

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.

Answer:

Radius = 8in

Step-by-step explanation:

\( \hookrightarrow \sf \: V = {\pi r}^{2} h\)

Where,

⇢ 3014.4 = (3.14)(r²)(15)

⇢ 3014.4 = (r²)(47.1)

⇢ 3014.4 = 47.1r²

⇢ 3014.4/47.1 = 47.1r²/47.1

⇢ 64 = r²

⇢ r = √64

⇢ r = 8

\( \therefore \) The value of radius is 8 inches