Jerry's Catering provided food and drinks for 54 guests at the New
Year's eve party. Jerry charges $25 per for food and $6 per drink for
each guest. How much money did Jerry's Catering make for this
party?

The volume of the solid with a circular base of radius 3, where every plane cross-section perpendicular to the x-axis is an equilateral triangle, is option D) 36√3.


When each plane cross-section perpendicular to the x-axis is an equilateral triangle, we can see that the height of each equilateral triangle is equal to the diameter of the circular base, which is 6. Therefore, the height of the solid is 6.

To find the volume of the solid, we can use the formula for the volume of a cone, since the solid resembles a cone with equilateral triangular cross-sections. The volume of a cone is given by V = (1/3)πr^2h, where r is the radius of the circular base and h is the height.

Plugging in the values, we have V = (1/3)π(3^2)(6) = 18π. Simplifying, we get V = 54π.

Now, since the answer choices are in terms of √3, we can approximate π as 3.14. Therefore, V ≈ 54(3.14) = 169.56.

Rounding to the nearest whole number, the volume is approximately 170.

However, none of the answer choices provided are 170. The closest option is D) 36√3, which is approximately 187.45. Therefore, the correct answer is D) 36√3.


Learn more about Volume of circular base click here :brainly.com/question/16728505

#SPJ11

the overall time complexity of our algorithm is O(n^2), as requested.

To compute an optimal strategy for the first player in this game, we can use dynamic programming to precompute the optimal values for every subsequence of the original sequence. Let OPT(i,j) denote the maximum value that can be obtained by the first player when considering only the subsequence from s_i to s_j.

We can compute this value by considering the two possible choices for the first player's move: either pick s_i or pick s_j. If the first player picks s_i, then the second player will be faced with the subsequence from s_i+1 to s_j. If the first player picks s_j, then the second player will be faced with the subsequence from s_i to s_j-1. The optimal value for the first player is then the maximum of the value of the card picked plus the optimal value for the remaining subsequence, i.e.:

OPT(i,j) = max{vi + min{OPT(i+1,j-1), OPT(i+2,j)}, vj + min{OPT(i,j-2), OPT(i+1,j-1)}}

where the inner min function represents the second player's optimal value in the two possible cases.

We can compute the values of OPT(i,j) for all i and j in O(n^2) time using a bottom-up approach, starting from the smallest subsequence (i.e., those with length 1) and building up to the full sequence.

Once we have computed all the values of OPT(i,j), the first player can make each move optimally by looking up the precomputed information. If the first player is faced with the subsequence from s_i to s_j, they should choose to pick either s_i or s_j depending on which choice gives them the higher value according to the formula above.

To learn more about function  click here

brainly.com/question/30594198

#SPJ11

The system of linear equations has no solutions for any value of k except when k = 2, where it has infinitely many solutions.

(a) To reduce the augmented matrix for the system of linear equations to row-echelon form, we can write the system of equations as:

2 - y = kx

-y = k

To eliminate y in the first equation, we can multiply the second equation by (-1) and add it to the first equation:

(2 - y) - (-y) = kx - k

2 = kx - k

This gives us a new system of equations:

2 = kx - k

Now, we can represent this system in augmented matrix form:

[1 -k | 2]

(b) To find the values of k, we can examine the augmented matrix.

If the system has no solutions, it means that the rows of the augmented matrix result in an inconsistent equation, where the last row has a leading nonzero entry. In this case, for the system to have no solutions, the augmented matrix should have a row of the form [0 0 | c], where c ≠ 0. In our case, the augmented matrix [1 -k | 2] doesn't have this form, so there are no values of k that lead to no solutions.

If the system has exactly one solution, the augmented matrix should be in row-echelon form, with each row having at most one leading nonzero entry. In this case, the augmented matrix should not have any rows of the form [0 0 | c], where c ≠ 0. In our case, the augmented matrix can be reduced to row-echelon form as follows:

[1 -k | 2]

From this form, we can see that there are no restrictions on the value of k. For any value of k, the system will have exactly one solution.

If the system has infinitely many solutions, the augmented matrix should have at least one row of the form [0 0 | 0]. In our case, the augmented matrix can be reduced to:

[1 -k | 2]

From this form, we can see that if k = 2, the last row becomes [0 0 | 0]. Therefore, for k = 2, the system will have infinitely many solutions.

For more such questions on linear equations

https://brainly.com/question/12974594

#SPJ8

y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1] is the orthogonal basis for w using Gram-Schmidt process.

Given,

The set;

x₁ = [1  -4  0  1]

x₂ = [7  -7  -6  1]

We have to produce the orthogonal basis for w using the Gram-Schmidt process;

Here,

y₁ = x₁ =  [1  -4  0  1]

Now,

Solve for y₂

y₂ = x₂ - [x₂y₁ / y₁y₁] y₁

That is,

y₂ = [7  -7  -6  1] - ( [7  -7  -6  1] [1  -4  0  1] / [1  -4  0  1] [1  -4  0  1] ) × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - (7 + 28 - 0 + 1) / (1 + 16 + 0 + 1) × [1  -4  0  1]

y₂ = [7  -7  -6  1]  - 36/18 × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - 2  × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - [2  8  0  2]

y₂ = [5  1  -6  -1]

That is,

The orthogonal basis for w using Gram-Schmidt process is,

y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1]

Learn more about Gram-Schmidt process here;

https://brainly.com/question/17132977

#SPJ4

Answer:

Whats the audio

Step-by-step explanation:

Oh....ok

Answer: Take 3326 and divide by 3

Step-by-step explanation: This will check to see if her answer is correct or not. If 3326 is divided by 3 and gets 842 then her answer is correct!

If you can please give me a Brainliest, I only need 2 more to become an Ace, thank you!

3326 ÷ 3 = 1108.666667

Take the answer 3326, and divide it by 3, and we should get 842:

3326 ÷ 3 = 1108.666667

It does not equal 842.

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

The expected instantaneous rate of change, denoted as r, for a geometric Brownian motion stock price (St) represents the average rate at which the stock price is expected to change at any given point in time. It is typically expressed as a constant or a deterministic function.

On the other hand, the expected return, denoted as r - 0.5σ^2, on the stock ln(St) over an interval of time [0,t] represents the average rate of growth or change in the logarithm of the stock price over that time period. It takes into account the volatility of the stock, represented by σ, and adjusts the expected rate of return accordingly.

The key difference between the two is that the expected instantaneous rate of change (r) for the stock price represents the average rate of change at any given moment, while the expected return (r - 0.5σ^2)t on the stock ln(St) over an interval of time considers the cumulative effect of volatility on the rate of return over that specific time period.

In other words, the expected instantaneous rate of change focuses on the average rate of change at a specific point in time, disregarding the impact of volatility. On the other hand, the expected return over a given interval of time accounts for the volatility in the stock price and adjusts the expected rate of return to reflect the effect of that volatility.

The expected instantaneous rate of change (r) for a geometric Brownian motion stock price represents the average rate of change at any given moment, while the expected return (r - 0.5σ^2)t on the stock ln(St) over an interval of time considers the cumulative effect of volatility on the rate of return over that specific time period.

To know more about Rate, visit

brainly.com/question/119866

#SPJ11

THIS IS THE COMPLETE QUESTION

basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modeled by the equation h = 6 + 30t – 16t2. Two-tenths of a second after the shot is launched, an opposing player leaps up to block the shot. The height of the shot blocker’s outstretched hands t seconds after he leaps is modeled by the equation h = 9 + 25t – 16t2. If the ball reaches the net 1.7 seconds after the shooter launches it, does the leaping player block the shot?

Yes, exactly 0.6 seconds after the shot is launched.

Yes, between 0.64 seconds and 0.65 seconds after the shot is launched

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

No, the shot is not blocked.

Answer:

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

Given that the

equation for shot block height h = 9 + 25t – 16t2.

equation for ball height h = 6 + 30t – 16t2.

From the question ,it can be deducted that the shot is made before two tenths of a second or 0.2seconds

CHECK THE ATTACHMENT TO COMPLETE THE DETAILED SOLUTION

We can say that the leaping player do not block the shot and thus, the answer is it is No, the shot is not blocked.

In terms of basketball, a  shot  is known to be the act of throwing a given basketball to a hoop.

Note that in the scenario above, since the ball has reaches the net at about 1.7 seconds after the shooter launches it, We can say that the leaping player do not block the shot and thus, the answer is it is No, the shot is not blocked as it will be hard for the player to do.

See full question below:

basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modeled by the equation h = 6 + 30t – 16t2. Two-tenths of a second after the shot is launched, an opposing player leaps up to block the shot. The height of the shot blocker’s outstretched hands t seconds after he leaps is modeled by the equation h = 9 + 25t – 16t2. If the ball reaches the net 1.7 seconds after the shooter launches it, does the leaping player block the shot?

Yes, exactly 0.6 seconds after the shot is launched.

Yes, between 0.64 seconds and 0.65 seconds after the shot is launched

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

No, the shot is not blocked.

Learn more about shot  from

https://brainly.com/question/11160664

#SPJ5

True. the interpretation of the slope is different in a multiple linear regression model as compared to a simple linear regression model.

The slope and intercept of a line reveal the steepness of the line and the location in which it intersects an axis. The slope and intercept of the logistic relationship of the two variables can be utilized to get the average change rate. The ratio of a change in the variable y to the rise in the x component is known as the the line's slope.

Y = a + bX, where X seems to be the mediating variable and Y is the response variable, is the equation of a linear regression line. A is the intersection (the result of y for x = 0), and b is the line's slope.

To learn more about slope visit:

https://brainly.com/question/29690915

#SPJ4

The time complexity of the algorithm is O(N^2) as there are two nested loops that iterate through the array. Thus, for large values of N, the algorithm may not be very efficient.

Given an array S, where S = [s1, s2, ..., sN], the algorithm finds an array G such that G[i] is the number of days after i for which the stock sold less than S[i].The algorithm runs two loops, an outer loop that iterates through the array S from start to end and an inner loop that iterates through the elements after the ith element. The algorithm is shown below:```
Algorithm StockSell(S):
   G = [] // Initialize empty array G
   for i from 1 to length(S):
       count = 0
       for j from i+1 to length(S):
           if S[j] < S[i]:
               count = count + 1
       G[i] = count
   return G
```The above algorithm works by iterating through each element in S and checking the number of days after that element when the stock sold for less than the value of that element. This is done using an inner loop that checks the remaining elements of the array after the current element. If the value of an element is less than the current element, the counter is incremented.The time complexity of the algorithm is O(N^2) as there are two nested loops that iterate through the array. Thus, for large values of N, the algorithm may not be very efficient.

To know more algorithm visit-

https://brainly.com/question/33344655

#SPJ11

Answer:

more info?

Step-by-step explanation:

Answer:

Step-by-step explanation:

tanθ = opp/adj

tanC = 12/5

The above is the complete sufficient statistic. The proof of its completeness is relatively straightforward and can be obtained using the Factorization Theorem.

(n-1) / n max(X(k)) for k = 1,..,n-1 is the complete statistics for θ.

The unbiased estimator of θ is given by:

(n-1) / n max(X(k)) for k = 1,..,n-1

Given: X₁....X, be iid according to a uniform continuous distribution over the open interval (0,0). for > 0.

We need to find the complete statistics for θ.Using the Likelihood function:

Given X₁....X, be iid according to a uniform continuous distribution over the open interval (0,0). for > 0.

Likelihood function:

L = f(x|θ) = 1/θⁿif 0< Xi < θ for i = 1,....,n.

L = 0, otherwise Now, we can derive the order statistics of

X(1) < X(2) < ... < X(n)

By definition, f(X(k)) = n! / (k-1)!(n-k)! θⁿ / θⁿ

f(X(k)) = n! / (k-1)!(n-k)!

If we use this function, then the joint distribution of U and V is given by: f(U,V|θ) = n! / u! (v-u-1)! (n-v)! θⁿ / θⁿ

= n! / u! (v-u-1)! (n-v)!

When we calculate it in terms of T = V - U, we will get

f(U,T|θ) = n! / u! (u + t - 1)!

(n-u-t)! θⁿ / θⁿ = n! / u (u + t - 1) (n-u-t)!

To get the unbiased estimator, we divide by n and n-1.

To know more about statistic visit:-

https://brainly.com/question/31538429

#SPJ11

This can be done by finding the CPI or another price index for the same period. Once you have the GDP deflator, you can use the formula above to calculate the real GDP.

If you only know the nominal GDP, you cannot determine the real GDP. In order to determine the real GDP, you need to take into account inflation. This is done by adjusting the nominal GDP for inflation using a price index, such as the Consumer Price Index (CPI).The formula for calculating real GDP is:Real GDP = Nominal GDP / GDP DeflatorThe GDP deflator is a measure of inflation that takes into account changes in the prices of all goods and services produced in an economy. It is calculated by dividing nominal GDP by real GDP and multiplying by 100. This gives us a ratio of the current price level to the base year price level.

The base year price level is assigned a value of 100.Using this formula, we can see that if we know the nominal GDP and the GDP deflator, we can calculate the real GDP. For example, if the nominal GDP is $10 trillion and the GDP deflator is 120, the real GDP would be:Real GDP = $10 trillion / 1.2 = $8.33 trillionTherefore, in order to determine the real GDP if you only know the nominal GDP, you need to obtain the GDP deflator.

for more search question price

https://brainly.com/question/28420607

#SPJ8

Answer: C/ three times a number x fewer than seven.

Step-by-step explanation:

3x - 7 is basically (3 x number) minus seven and by looking at the answer choices C is correct because it says 3 times a number (x) then fewer seven which means minus seven. It wouldn't be B because it is not 3-7 and then multiply, that would give a totally different answer.

Answer: 14 inches

Step-by-step explanation:

Given the following :

James wants to cut a floor tile in the shape of a trapezium with the following dimension :

Top base = 12 inches

Bottom base = 16 inches

To obtain the medan, we take the average of the two bases :

(top base + bottom base) / 2

(12 inches + 16 inches) / 2

28 inches / 2

= 14 inches.

The lowest point should be used for measurement. To acquire a correct reading, students must read the meniscus at eye level. In order to read the meniscus at eye level, students need first set the graduated cylinder on the table and then stoop.

A measuring cylinder, often referred to as a graded cylinder, a cylinder measuring cylinder, or a mixing cylinder, is a piece of lab apparatus used to gauge the quantity of fluids, chemicals, or solutions used during a typical lab session. Compared to common laboratory flasks and beakers, graduated cylinders offer higher precision and accuracy. The graduated cylinder is a scientific tool that employs the metric system rather than the American standard system, so measurements are made in millilitres rather than ounces. The volume of an object or quantity of liquid is measured using a graduated cylinder, a common piece of laboratory glassware. It is a glass cylinder with side markings resembling those on a measuring cup, as its name suggests.

To know more about graduated cylinder here

https://brainly.com/question/24869562

#SPJ4

Given:

The two shapes P and Q on a coordinate plan.

To find:

(a) The area of shape P.

(b) Mathematical name of quadrilateral Q.

Solution:

(a)

From the given figure, it is clear that shape P is a triangle.

Area of a triangle is

\(A=\dfrac{1}{2}\times Base\times Height\)

Area of triangle P whose base is 4 and height is 6, is

\(A=\dfrac{1}{2}\times 4\times 6\)

\(A=\dfrac{24}{2}\)

\(A=12\)

So, the area of shape P is 12 sq. units.

(b)

In quadrilateral Q, two pairs of congruent sides are adjacent to each other.

So, Q is a kite.

Therefore, the mathematical name of quadrilateral Q is kite.

Answer:

Step-by-step explanation:

Given:

The two shapes P and Q on a coordinate plan.

To find:

(a) The area of shape P.

(b) Mathematical name of quadrilateral Q.

Solution:

(a)

From the given figure, it is clear that shape P is a triangle.

Area of a triangle is

Area of triangle P whose base is 4 and height is 6, is

So, the area of shape P is 12 sq. units.

(b)

In quadrilateral Q, two pairs of congruent sides are adjacent to each other.

So, Q is a kite.

Therefore, the mathematical name of quadrilateral Q is kite.

Question isn't clearly stated.

The. Probability o

Answer:

Step-by-step explanation:

How many times must you roll an ordinary 6-sided dice for the probability of getting at least one multiple of 3 more than 0.7

Given a six sided die : (1, 2, 3, 4, 5, 6)

Multiple of 3 = (3, 6) = 2

Getting a multiple of 3 on a single roll :

P(multiple of 3) = 2 / 6 = 1/3

Answer:

-8/17x - 7

Step-by-step explanation:

Y-intercept is -7, since the point (0, -7) is on the y-axis.

-8 to 0 is -8

10 to -7 is -17

Answer: 5%

Step-by-step explanation:

Answer:

5%

Step-by-step explanation:

This contract is made on [DATE] between [TOM], owner of [AUTOMOTIVE PARTS STORE] located at [ADDRESS] (hereinafter referred to as "Seller"), and [PETE], residing at [ADDRESS] (hereinafter referred to as "Buyer"). Tom should bear the risk of loss because he is the seller and has not yet delivered the muffler to Pete. According to the UCC, the risk of loss typically transfers to the buyer upon physical delivery of the goods, which has not occurred in this case. Additionally, Tom's expertise in the specialty vehicle parts industry suggests that he should be responsible for any potential risks associated with the muffler until it is delivered.

1. Sale of Muffler

Seller agrees to sell and Buyer agrees to purchase a muffler for a 1969 Cadillac Eldorado, silver in color, for the price of $600 (hereinafter referred to as "the Muffler").

2. Delivery

Seller shall deliver the Muffler to Buyer's address in Newark, Delaware by May 1, 2015.

3. Payment

Buyer shall pay Seller the purchase price of the Muffler in full upon delivery.

4. Warranties

Seller warrants that the Muffler is free from defects in materials and workmanship. Seller further warrants that the Muffler will be fit for its intended purpose.

5. Governing Law

This contract shall be governed by and construed in accordance with the laws of the State of New York.

6. Entire Agreement

This contract constitutes the entire agreement between the parties with respect to the subject matter hereof and supersedes all prior or contemporaneous communications, representations, or agreements, whether oral or written.

7. Severability

If any provision of this contract is held to be invalid or unenforceable, such provision shall be struck from this contract and the remaining provisions shall remain in full force and effect.

8. Waiver

No waiver of any provision of this contract shall be effective unless in writing and signed by both parties.

9. Notices

All notices and other communications hereunder shall be in writing and shall be deemed to have been duly given when delivered in person, upon the first business day following deposit in the United States mail, postage prepaid, certified or registered, return receipt requested, addressed as follows:

10. Headings

The headings in this contract are for convenience only and shall not affect its interpretation.

11. Counterparts

This contract may be executed in one or more counterparts, each of which shall be deemed an original, but all of which together shall constitute one and the same instrument.

IN WITNESS WHEREOF, the parties have executed this contract as of the date first written above.

Learn more about contract here:

brainly.com/question/29409531

#SPJ11

Answer:

9% or 50%

Step-by-step explanation:

It can be both

hoped this helped!

From the following sets of ordered pairs, line c, (3, 6) and (5, 1), has a negative slope.

To determine the slope of a line given two points, we can use the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

If the slope is negative, it means the line is decreasing as we move from left to right, or in other words, it has a negative slope.

Let's apply the formula to each set of ordered pairs:

A. slope = (1 - 5) / (0 - 5) = -4 / -5 = 4/5 (positive slope)

B. slope = (-1 - 3) / (-4 - 2) = -4 / -6 = 2/3 (positive slope)

C. slope = (1 - 6) / (5 - 3) = -5 / 2. (negative slope)

D. This set has only one point (2, 3) and is therefore not sufficient to define a line.

Therefore, only option C has a negative slope. Option B has a positive slope. Option A has a positive slope. Option D is not sufficient to define a line.

To know more about slope

https://brainly.com/question/19131126

#SPJ4

Answer:

3 1/9 is the answer to that if that's what your asking.

Answer:

The diameter of the circle is about 2.546 units

Step-by-step explanation:

\(C=\pi d\\\\8=\pi d\\\\\frac{8}{\pi}=d\\ \\d\approx2.546\)

Answer:

7.9999999999942?

Step-by-step explanation:

8 x π is 25.1327412287

Diameter = C / π so 7.9999999999942

mark brainliest? ;)

Answer: 5

Step-by-step explanation:

If two snow resorts offer private lessons to their customers. The number of hours the cost of lessons is the same for each resort is : 2 hours

Let x represent the number of hours of private lessons

Let the  cost of x hours of private lessons for  Big Time Ski Mountain = 10x + 100

Let the cost of x hours of private lessons For Powder Hill  = 15x + 90

So,

10x + 100 = 15x + 90

Subtracting 10x from both sides

100 = 5x + 90

Subtracting 90 from both sides

10 = 5x

Dividing both sides by 5

x = 10/5

x = 2

Therefore, the cost of private lessons  is 2 hours of lessons.

Learn more about number of hours here:https://brainly.com/question/31226179

#SPJ1

Answer:

(40 , 0)

Step-by-step explanation:

Original point(0 , y)  -----> after 270 rotation (x, 0)

Equation for

0 1 2. 3. 4. 5

1930

2231

2426

2781

3301

3429

--------