At a party, a number of guests were served
15 litres of champagne. Each guest had 2
glasses of champagne and each glass held
150 millilitres. Assuming no spillage, how
many guests were at the party?

Algorithm 2 is more efficient than Algorithm 1 because it only needs to loop through the numbers up to upper/11 instead of upper. This means that it will take fewer iterations to reach the result, making it more efficient than Algorithm 1.

Algorithm 1 will make upper/11 more checks than Algorithm 2, resulting in a slower runtime. Additionally, Algorithm 2 avoids the need to check the modulus of each number, further reducing the computation time. Algorithm 2 only needs to loop through the multiples of 11, which are always 11 apart from each other, so it can skip over the other numbers between them.

This makes Algorithm 2 much faster than Algorithm 1 because it is only looping through a fraction of the numbers.

Read more about Algorithm efficiency:

https://brainly.com/question/28992413

#SPJ4

Answer:

\(a=49\)

Step-by-step explanation:

You would solve this the same way you would with any other triangle problem. You will plug in for the base and the height in this formula \(a=\frac{1}{2}bh\).

\(a=\frac{1}{2}bh\\a=\frac{1}{2}(\sqrt{343})(\sqrt{28})\)

Now we will multiply the two radicands.

\(a=\frac{1}{2}\sqrt{9604}\)

For this we will split the 9604 into 49 and 196.

\(a=\frac{1}{2}\sqrt{49}\sqrt{196}\)

Now we just take the square roots of those two and since they're perfect squares they'll be whole numbers.

\(a=\frac{1}{2}(7)(14)\)

Next we just multiply everything together.

\(a=49\)

Answer:

UJCTR

Go up to from the current letter to get the answer i think?

You can try finding the pattern behind the conversion.

The code for SHARP is UJCTR

Well it depends. There are infinite possibilities.

Most of the times, if its like a question from some exam or book etc, then there is certain simple pattern which you can see if focus. Otherwise, there may be too complex, or sometimes too simple, or sometimes moderately complex patterns.

For given case, you can see that the pattern is to take the third letter from the given letter from the English alphabet.

For B it was B - C - D, thus, D

For E it was E - F - G, thus, G

For A it was A - B - C, thus, C

For D it was D - E - F, thus, F

Similarly, we get:

For S it was S - T - U, thus, U

For H it was H - I - J, thus, J

For A it was A - B - C, thus, C

For R it was R - S - T, thus, T

For P it was P - Q - R, thus, R

Thus,

The code for SHARP is UJCTR

Learn more about character coding here:

https://brainly.com/question/17120657

Answer:

3 feet 11 inches

Step-by-step explanation:

Answer:

ok is that supposed to be on top of the number because if so it is 8'10-4'11=

Step-by-step explanation:

1069547520 but I am not sure if that could be the slightest bit correct you could try it thought :D

A has the larger standard devlation.

What is standard devlation?

The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.

We are given two plots of normal distributions A and B.

The mean of a normal distribution is located at the center of the plot.

Since the centers of both of the normal distributions A and B seems to be aligned, therefore, they both seems to have equal means.

The standard deviation basically determines the shape of the distribution.

As you can see, the normal distribution A is more spread out and thus has a larger standard deviation than normal distribution B.

Therefore, the two correct options are

• The means of A and B are equal.

• A has larger standard deviation.

Complete question: Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers.

Select all that apply:

A has the larger mean.

B has the larger mean.

The means of A and. Q jual.

A has the larger standard devlation.

B has the larger standard deviation.

The standard deviations of A and B are equal.

To learn more about normal distribution  visit:https://brainly.com/question/29509087

#SPJ4

The inverse function:  \(f^{-1} (x) =\) \((\frac{x -5}{5} )^{2} -13\)

The inverse is defined on the domain x < 5 and x ≥ -13 for the original function, which means that the range of the original function is y ≥ 5.

A function is a relationship that exists between two sets of numbers, with each input from the first set, known as the domain, corresponding to only one output from the second set, known as the range.

Given function is;   \(f(x) = 5\sqrt{(x + 13)} + 5\)

To find the inverse of the given function, we first replace f(x) with y:

⇒  \(y = 5\sqrt{(x + 13)} + 5\)

Subtract 5 from both sides:

⇒ \(y -5 = 5\sqrt{(x + 13)}\)

⇒ \(\frac{(y -5)}{5} = \sqrt{(x + 13)}\)

⇒ \((\frac{y -5}{5} )^{2} = x + 13\)

⇒ \((\frac{y -5}{5} )^{2} -13 = x\)

Now we have x in terms of y, so we can replace x with f⁻¹(x) and y with x to get the inverse function:

f⁻¹(x) = \((\frac{x -5}{5} )^{2} -13\)

The domain of the inverse function is x ≥ 5, because this is the range of the original function, and we were given that the inverse is defined on the domain x < 5. However, we must also exclude the value x = 5, because the denominator of the fraction \((\frac{x -5}{5} )^{2}\) becomes zero at this value. Therefore, the domain of f⁻¹(x) is x > 5.

We were given that x ≥ -13 for the original function, which means that the range of the original function is y ≥ 5. Therefore, the domain of the inverse function becomes the range of the original function, and the range of the inverse function becomes the domain of the original function.

To know more about domain, visit:

https://brainly.com/question/26098895

#SPJ1

The results of operations between vectors are, respectively:

Case A: u + w = <- 3, - 1>

Case B: - 6 · v = <6, 6>

Case C: 3 · v - 6 · w = <- 21, - 15>

Case D: 4 · w + 3 · v - 5 · u = <39, 4>

Case E: |w - v| = √(4² + 3²) = 5

In this problem we must determine the operations between vectors, this can be done by following definitions:

Vector addition

v + u = (x, y) + (x', y') = (x + x', y + y')

Scalar multiplication

α · v = α · (x, y) = (α · x, α · y)

Norm of a vector

|u| = √(x² + y²)

Now we proceed to determine the result of each operation:

Case A:

u + w = <- 6, - 3> + <3, 2>

u + w = <- 3, - 1>

Case B:

- 6 · v = - 6 · <- 1, - 1>

- 6 · v = <6, 6>

Case C:

3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>

3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>

3 · v - 6 · w = <- 21, - 15>

Case D:

4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>

4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>

4 · w + 3 · v - 5 · u = <39, 4>

Case E:

|w - v| = |<3, 2> - <- 1, - 1>|

|w - v| = |<4, 3>|

|w - v| = √(4² + 3²) = 5

To learn more on vectors: https://brainly.com/question/31900604

#SPJ1

Step 1:

First, we need to find the point (6, 8) on the graph.

We draw a point at the intersection of x = 6 and y = 8

Step 2:

From this point, we move 5 units to the left.

Graphically:

As you can see from the figure, we started at the point (6, 8) (marked in red)

Then we moved 5 units to the left and we end up at the point (1, 8) (marked in green)

Answer:

\(x = -8\)

Step-by-step explanation:

Given

The attached figure

Required

Find x

The given angles (135 and x +143) are vertically opposite angles.

So:

\(x + 143 = 135\)

Collect Like Terms

\(x = 135-143\)

\(x = -8\)

The value of full positive integer k such that  \(O(n^k)\) is the most restrictive polynomial-time upper bound of f(n) are as follows : (A) 9 (B) no integer exists (C)5/3(not an integer) (D)no integer exists (E) \(3e^{99}\)

Using the Lower and Upper Bound Theory, it is possible to identify the algorithm with the lowest level of complexity. Let's quickly review what Lower and Upper bounds are before we can understand the theory.

A)\(2^{lg(3n+4n+5)}+lg {\spaceh} n \inO(n^k)\)

or, \(O(2^{lgn^9}+lgn)\inO(n^k)\)    since   \(3n^9+4n+5=O(n^9)\)  

or, \(O(2^{lgn^9})\in O(n^k)\) as \(2^m+lg m=O(2^m)\)

Applying lg 2 on both sides we get:

\(lg_22^{lgn^9}=lg_2n^k\)

solving we get:

k=9 × lg2 × lg n

At n=1/2

k=9

Hence the minimum integer for K is 9.

B) \(7lgn+13lg^5n\in O(n^k)\)

Solving for k we get:

k=lgₙ(lg⁵n)

C) \(\sqrt[3]{7n^5+2n^3-4}\in O(n^k)\)

Solving by exponent rule we get:

\(O(n^{5/3})\in O(n^k)\)

k=5/3

D)\(13lg2^{3^n\inO(n^k)}\)

or, \(k=lg_n(lg2^{3^n})\)

E)\(7^{20!+1} \inO(n^k)\)

As we don't have any term of n on the Left Hand Side, therefore no most restrictive polynomial-time upper bound exist for \(O(n^k)\)

\(k=e^{99}\)

To learn more about upper bound of a polynomial visit:

https://brainly.com/question/22965427

#SPJ9

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

for such more question on combinations

https://brainly.com/question/28065038

#SPJ8

Answer:

  $50,000

Step-by-step explanation:

The given relations can be used to write and solve an equation for the amount invested in stocks.

Let s represent the amount invested in stocks. Then (120,000-s) is the amount invested in bonds. The total earnings by the two investments were ...

  0.18s +0.12(120,000 -s) = 17,400

Simplifying the equation, we have ...

  0.06s +14,400 = 17,400

  0.06s = 3000 . . . . . . . . . . subtract 14,400

  s = 50,000 . . . . . . . . . . . . divide by 0.06

Neal invested $50,000 in stocks.

__

Additional comment

The amount invested in bonds was 70,000. The profit earned was ...

  0.18(50,000) +0.12(70,000) = 9,000 +8,400 = 17,400

Answer:

No, the x axis will always be horizontal, regardless. The y axis is always vertical.

After solving the Algebraic Expression 2(x + 8)= 2x + 8, we will get x∈∅. Variable x is dissolved in itself, making it impossible to find its value.

Before moving to solve the equation , let's learn how to solve any algebraic expression:

Step 1: Determine whether the Distributive is necessary.

Property. If so, spread the word!

Step #2: Group similar terms together on either side of the equals symbol.

(meaning: combine all of the similar factors AND

Add up each and every integer (number).

Step #3: Align the variables so that they are all to one side of the equals symbol.

utilizing the inverse process. REMEMBER: No matter what you do

You MUST do to the other side of the equals sign what you did to the one side.

equals (symbol).

Fourth Step: When all of your variables are situated on the same side of the

You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:

fourth Step: When all of your variables are situated on the same side of the

You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:

You MUST do anything you do to one side of the equals sign.

the reverse of the equals symbol).

Step #5: Using the variable's ALONE state, isolate it

the opposite process. DO NOT FORGET: No matter what you do to one

You MUST change the other side of the equals symbol to the equals symbol

Given:

2(x + 8)= 2x + 8

2 × x + 2 × 8= 2x + 8

2x+16= 2x+ 8

16= 8

So, x∈∅.

In this equation , the value of x could not be find because variable x is dissolved in itself.

To know more about algebraic expression visit:

brainly.com/question/29137967

#SPJ1

The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.

the greatest common divisor of 5! and 7! is 120.

To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.

First, let's calculate the values of 5! and 7!:

5! = 5 * 4 * 3 * 2 * 1 = 120

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040

Now, let's factorize both numbers:

Factorizing 120:

120 = 2^3 * 3 * 5

Factorizing 5,040:

5,040 = 2^4 * 3^2 * 5 * 7

To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).

For more such question on greatest common divisor

https://brainly.com/question/219464

#SPJ8

The range of the function m is [1, ∞). Thus, B is correct option.

The dοmain οf a functiοn is the cοllectiοn οf values that can be plugged intο it. This set represents the x values in a functiοn like f. (x). A functiοn's range is the set οf values that the functiοn can take οn. This is the set οf values returned by the functiοn when we enter an x value.

Tο determine the range οf functiοn m, we must first determine the set οf all pοssible functiοn οutput values.

Looking at the function graph, we can see that the lowest point is (3, 1) and the highest point is (∞, ∞).

As a result, the function m has a range of [1, ∞).

We can write: in interval notation:

m ∈ [1, ∞) range.

To know more about Range visit:

brainly.com/question/29145252

#SPJ1

The total cost of the pita bread and hummus dips will be $305.00.

To determine the cost of the pita bread and hummus dips, Toula can use the following expressions:

Cost of pita bread:

Number of crates needed = (150 bags) / (50 bags/crate) = 3 crates

Cost of each crate = $15.00

Total cost of pita bread = (Number of crates needed) × (Cost of each crate) = 3 crates × $15.00/crate = $45.00

Cost of hummus dips:

Number of boxes needed = (65 containers) / (5 containers/box) = 13 boxes

Cost of each box = $20.00

Total cost of hummus dips = (Number of boxes needed) × (Cost of each box) = 13 boxes × $20.00/box = $260.00

Therefore, the expressions Toula can use to determine the costs are:

Cost of pita bread = 3 crates × $15.00/crate

Cost of hummus dips = 13 boxes × $20.00/box

The total cost will be the sum of the costs of pita bread and hummus dips:

Total cost = Cost of pita bread + Cost of hummus dips

Total cost = $45.00 + $260.00

Total cost = $305.00

Therefore, the total cost of the pita bread and hummus dips will be $305.00.

for such more question on cost

https://brainly.com/question/8993267

#SPJ8

Based on the histograms, it appears that Los Angeles has a higher typical temperature than New York City during the summer month.

In statistics, a distribution is a way of showing how data is spread out or arranged. It describes the pattern of values in a dataset, and provides information on the frequency, range, and possible values of the data.

A distribution can take many forms, depending on the type of data being analyzed. For example, a distribution can be:

Symmetrical: where the data is evenly distributed around a central value, such as a normal distribution.

Skewed: where the data is not evenly distributed and is clustered more towards one end of the range than the other end, such as a positively skewed distribution.

Bimodal: where there are two distinct peaks in the data, such as in a distribution of test scores for a class with both high-performing and low-performing students.

There are many ways to represent a distribution, but some common methods include histograms, box plots, and probability density functions.

Understanding the distribution of data is important in statistics because it can help identify patterns, trends, and outliers in the data. It can also help inform decisions about which statistical methods to use when analyzing the data.

Here,

In the Los Angeles histogram, the peak of the distribution is around 80 degrees Fahrenheit, whereas in the New York City histogram, the peak is around 75 degrees Fahrenheit. However, the New York City histogram appears to have more variation in temperature than the Los Angeles histogram. This can be seen in the wider spread of the distribution, with a range of temperatures from around 65 to 95 degrees Fahrenheit, compared to the narrower range of temperatures in the Los Angeles distribution, which ranges from around 70 to 90 degrees Fahrenheit.

In other words, while the typical temperature in Los Angeles during the summer month is higher than in New York City, the temperature in New York City varies more widely from day to day.

To know more about distribution,

https://brainly.com/question/14503886

#SPJ1

Answer:

16,20,28

Step-by-step explanation:

64 /(4+5+7)

64/16= 4

sides of triangle=4×4 :5×4: 7×4

                         =16:20:28

Answer:  t > 6/5

In decimal form, this would be t > 1.2

==============================================

Work Shown:

6t > t+6

6t-t > t+6-t ...... subtracting t from both sides

5t > 6

5t/5 > 6/5 .... dividing both sides by 5

t > 6/5

t > 1.2

Answer:

Slope Intercept Form: 2/3x + 5

Finding the x and y Intercepts: (-15/2 , 0)

Answer:

\(y=\frac{2}{3} x+5\)

Step-by-step explanation:

3y=2x+15

÷ all #'s by three

\(y=\frac{2}{3}x +5\)

Answer:

Me: 60

Zayn and Attia: 6

Step-by-step explanation:

12 = 2 × 2 × 3

20 = 2 × 2 × 5

LCM of 12 and 20 = 2 × 2 × 3 × 5 = 60

My number is 60.

Zayn's and Attia's numbers are 6.

Therefore:

\((30+5x)^o+(15+10x)^o=180^o\\\\45^o+(15x)^o=180^o\\\\(15x)^o=135^o\\\\15x=135\\\\\large\text{$\bold{x=9}$}\)

Answer:

Answer B is correct

Step-by-step explanation:

In a parallelogram opposite sides are parallel to each other.

AB // CD

Therefore, Co interior angles are added up to 180°.

<BAD + <CDA = 180

That is,

30 + 5x + 15 + 10x = 180

And now, solve the expression and find the value of x.

First, combine like terms.

45 + 15x = 180

Subtract 45 from both sides.

15x = 180 - 45

15x = 135

Divide both sides by 15.

x = 9

Answer:

Yes

Step-by-step explanation:

Graphs are functions when there is only one output for every input. In other words, for every "x" value, there must be only "y" value. This graph depicts a function because it abides by this rule. To be exact, this is an exponential function with the formula: f(x) = (x + 2)².

The particle travels approximately 45.63 units along the path. The displacement is the straight-line distance between the initial and final positions of the particle is 2781.

To find the distance the particle travels along the path, we can integrate the speed over the interval of time. The speed of the particle is given by the magnitude of its velocity vector.

The velocity vector is the derivative of the position function r(t):

\(v(t) = (d/dt)(t^3/3, t^2, 2t)\)

\(= (t^2, 2t, 2)\)

The speed of the particle at any given time t is:

|v(t)| = √((t^2)^2 + (2t)^2 + 2^2)

= √(t^4 + 4t^2 + 4)

= √((t^2 + 2)^2)

To find the distance traveled along the path, we integrate the speed function over the given interval of time. The particle travels from t = -1/3 to t = 9.

distance = ∫[from -1/3 to 9] |v(t)| dt

= ∫[from -1/3 to 9] |t^2 + 2| dt

= ∫[from -1/3 to 0] -(t^2 + 2) dt + ∫[from 0 to 9] (t^2 + 2) dt

= [-1/3 * t^3 - 2t] (from -1/3 to 0) + [1/3 * t^3 + 2t] (from 0 to 9)

Evaluating the definite integrals:

distance = [-1/3 * 0^3 - 2 * 0 - (-1/3 * (-1/3)^3 - 2 * (-1/3))] + [1/3 * 9^3 + 2 * 9 - (1/3 * 0^3 + 2 * 0)]

= [0 - (1/3 * (-1/27) + 2/3)] + [1/3 * 729 + 18]

= [1/27 + 2/3] + [729/3 + 18]

= 1/27 + 2/3 + 729/3 + 18

= 1/27 + 18/27 + 729/3 + 18

= (1 + 18 + 729)/27 + 18

= 748/27 + 18

= 27.63 + 18

= 45.63 units (approximately)

Therefore, the particle travels approximately 45.63 units along the path.

To find the average speed, we divide the distance traveled by the time taken. The time taken is 9 - (-1/3) = 9 1/3 = 28/3.

average speed = distance / time

= 45.63 / (28/3)

= 45.63 * (3/28)

= 4.9179 units per unit time (approximately)

The displacement is the straight-line distance between the initial and final positions of the particle.

displacement = |r(9) - r(-1/3)|

= |(9^3/3, 9^2, 2 * 9) - ((-1/3)^3/3, (-1/3)^2, 2 * (-1/3))|

= |(27, 81, 18) - (-1/27, 1/9, -2/3)|

= |(27 + 1/27, 81

= 2781.

For more such questions on displacement , Visit:

https://brainly.com/question/1581502

#SPJ11

Answer:

24,500, 6 rounds up

11

Step-by-step explanation:

first you have 6 colors, then you have 22 inches, now multiple 22 × 6=132÷12=11

Answer:

Mixed fraction:    -15  1/8

Improper fraction:   121/8