The Classic Hotel provides room service for its guests. The process for room service begins with a room service manager who takes orders of food and beverages by phone and transmits them to the kitchen and the bar at an average of 2 minutes per order. Each food order is prepared in an average of 15 minutes in the kitchen. There are five equally competent chefs in the kitchen, each of whom prepares complete orders, working in parallel. The one bartender takes 3 minutes to fill each beverage order, and works in parallel with the kitchen. When the kitchen and bar order are both ready, a waiter takes them to the room. There are eight waiters to provide the service, and each order takes 20 minutes for a waiter to put together and deliver. What is the capacity rate of each activity

The given statement is false.

Dilation is a transformation that changes the size of a figure or an object without changing its shape.

The figure or object and its image after dilation are similar.

The size of the figure or object may increase or decrease based on a number called the scale factor.

Dilation is defined by a point called the center of dilation and the scale factor.

Dilation :-

A dilation does not change the shape of a figure, but it can change the size. Because the size of the figure changes, dilations are not isometries. Because the shape is invariant under a dilation, the original figure and its image are similar. If the proportion is greater than one, the figure will grow.

In reference to a triangle,

They scale distances between points, dilations do not change angles. All lengths of line segments in the plane are scaled by the same factor when we apply a dilation.

Hence, the given statement is false.

Learn more about dilation, click;

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Answer:

24 cups

Step-by-step explanation:

1. 1 egg= 4 cups of flour

Let x = # of eggs, and f = cups of flour

so f=4x

2. f= 4(6)

f =24

So the answer is 24 cups of flour

Answer: mutiply 4 by 6 which is 24

Answer:

This means for every packet of ketchup, Phillip has 6 french fries.

Step-by-step explanation:

Answer: B

Step-by-step explanation:

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

Explanation:

We cannot divide by zero.

To figure out when the expression is undefined, set the denominator equal to zero and solve for z.

The quadratic formula is the best route in my opinion.

[tex]6z^2+14z-80 = 0\\\\z = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\z = \frac{-14\pm\sqrt{14^2-4(6)(-80)}}{2(6)}\\\\z = \frac{-14\pm\sqrt{2116}}{12}\\\\z = \frac{-14\pm46}{12}\\\\z = \frac{-14+46}{12} \ \text{ or } \ z = \frac{-14-46}{12}\\\\z = \frac{32}{12} \ \text{ or } \ z = \frac{-60}{12}\\\\z = \frac{8}{3} \ \text{ or } \ z = -5\\\\[/tex]

Plugging in either z = 8/3 or z = -5 leads to the the denominator 6z^2+14z-80 to be zero. So either of these z values makes the given rational expression to be undefined.

Answer:

Step-by-step explanation:

You should never be given a question that has a diagram that looks  like it could be so.

That being said there is

1 obtuse angle (lower left)

1 right angle (top right)

2 acute angles (the two angles that are left).

Answer: BRAINLIEST???

1 right

2 acute

1 obtuse

Step-by-step explanation:

Answer:

f(x) = 7

Step-by-step explanation:

even functions have all even powers of x

7 = 7x^0

Answer:

No.

Step-by-step explanation:

If a decimal repeats forever, it will be irrational.

Hey there!☺

[tex]Answer:\boxed{\text{Rational}}[/tex]

[tex]Explanation:[/tex]

.333333 is rational because any integer, fraction, and a repeating and terminating decimals are rational. So, therefore,  .333333 is rational.

Hope this helps!

Answer:

(A) The probability that a randomly selected adult is either overweight or obese is 0.688.

(B) The probability that a randomly selected adult is neither overweight nor obese is 0.312.

(C) Yes, the events "overweight" and "obese" are exhaustive.

Step-by-step explanation:

We are given that an adult is considered overweight if the BMI is 25 or more but less than 30. An obese adult will have a BMI of 30 or greater.

According to a January 2012 article in the Journal of the American Medical Association, 33.1% of the adult population in the United States is overweight and 35.7% is obese.

Let the event , A = a person is overweight

B = a person is obese.

So according to the question;

The probability that an adult population in the United States is overweight = P(A) = 0.331

The probability that an adult population in the United States is obese = P(B) = 0.357

(A)  As we know that the events of a person being overweight or obese cannot occur together.

This means P(A ∩ B) = 0.

Now, the probability that a randomly selected adult is either overweight or obese is given by = P(A [tex]\bigcup[/tex] B)

         P(A [tex]\bigcup[/tex] B) = P(A) + P(B) - P(A ∩ B)

                        = 0.331 + 0.357 - 0

                        = 0.688

Hence, the probability that a randomly selected adult is either overweight or obese is 0.688.

(B)  Now, the probability that a randomly selected adult is neither overweight nor obese is given by = P(A' [tex]\bigcup[/tex] B')

              P(A' [tex]\bigcup[/tex] B') = 1 - P(A [tex]\bigcup[/tex] B)

                              = 1 - 0.688 = 0.312

Hence, the probability that a randomly selected adult is neither overweight nor obese is 0.312.

(C) Exhaustive events are those events which  cannot occur together, but they form a sample space when combined together.

In our question also, the person can't be both overweight and obese at the same time, and together the event of a person being overweight or obese forms a sample space of people who are heavier.

Hence, the events "overweight" and "obese" are exhaustive.

A- 0.688.

B- 0.312.

C- yes

Answer:

4 feet

Step-by-step explanation:

Answer:

9,003 > 3,219

Step-by-step explanation:

9,003 is larger than 3,219

Answer:

21.75

Step-by-step explanation: 87 x 3  * 12

Answer:

B.5

Step-by-step explanation:

Answer:

The location of a point on the line

Step-by-step explanation:

Generally, we can write an equation in the point slope form as follows;

y-y1 = m(x-x1)

Where m is the slope of the line

So looking at the option, we can easily see that the information we can read directly from the point-slope form is the location of a point on the line.

We can easily tell the value of (x1,y1) which easily gives out the location of that point on the line

Answer:

The answer is

Step-by-step explanation:

Since the cardboard box is a cube all it's sides are equal

Volume(V) of a cube = l³

where l is the length of one side

From the question

[tex]V = \frac{125}{8} \: {ft}^{3} [/tex]

The length of each side of the cardboard box is

[tex] {l}^{3} = \frac{125}{8} \\ \sqrt[3]{ {l}^{3} } = \sqrt[3]{ \frac{125}{8} } \\ l = \frac{5}{2} [/tex]

We have the final answer as

[tex] \frac{5}{2} \: \: \: feet \\ [/tex]

Hope this helps you

Answer:

5/2 ft

Step-by-step explanation:

The volume of a cube is calculated by the following formula.

Rewrite the formula in terms of the side, as shown.

It is given that the volume of the cardboard box is ft3. Substitute this value into the equation to determine the length of each side of the cardboard box.

Therefore, the length of each side of the cardboard box is 2.5 ft.

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(4,-9) and (-6,-10)

The distance between them is

[tex]d = \sqrt{ ({4 + 6})^{2} + ( { - 9 + 10})^{2} } \\ = \sqrt{ {10}^{2} + {1}^{2} } \\ = \sqrt{100 + 1} \: \: \\ = \sqrt{101} \: \: \: \: \: \: \: \: \: \\ = 10.04987...[/tex]

We have the final answer as

[tex] \sqrt{101} \: \: \: or \: \: \: 10.05 \: \: \: \: units[/tex]

Hope this helps you

Answer:

B-7^2x2÷b6

Step-by-step explanation:

Answer:

[tex]2^7[/tex]

Step-by-step explanation:

[tex]2^7=2\times 2\times 2\times 2\times 2\times 2\times 2=128[/tex]

[tex]7^2=7\times 7=49[/tex]

Since [tex]128>49, 2^7\ is\ greater\ than\ 7^2[/tex]

Answer:

I'm pretty sure 7/2 is greater

Step-by-step explanation:

Its a improper fraction, therefore its bigger then a regular fraction.

I'm also a idiot

Answer:

The cost of M apples is M($0.20).

Explanation:

We don't know how many apples exactly, we only know that it is the quantity of M. Since each apple is $0.20, we can multiply that by M to get the amount of "$0.20's" for M apples.

Answer:

15-20 minutes - 1 mile or 100:1

Step-by-step explanation:

so think about steps per minute if you would walk a whole mile not you but the average sized adult it would be 15-20 minutes based on your size and strength or if you have any possible breathing issues to get steps just google how many steps are in a mile. remember steps to minute not minute to steps.

Answer:

y = a(x² - 10x + 25) + 3

Step-by-step explanation:

From standard form of an equation, of a parabola, we have;

y = a(x - h)² + k

We are told that the parabola has a vertex at (5, 3). Which in essence is (h, x)

Thus;

y = a(x - 5)² + 3

y = a(x² - 10x + 25) + 3

Therefore, the equation that has a graph that is a parabola with a vertex at (5, 3) is;

y = a(x² - 10x + 25) + 3

Answer:

A. y = (x - 5)2 + 3

Step-by-step explanation: edge2021

Answer:

The answer would be C

Step-by-step explanation:

In order to do this. We have to add the exponents if they are in this form

6^2*6^2

Multiply the exponents if it is in this form

(6^16)^28

Subtract the exponents if it is in this form

2^9/2^4

please mark brainliest

Answer:

10

Step-by-step explanation:

2 + x = 12

Subtract 2 from both sides.

x = 10

~theLocoCoco

Answer:

19

Step-by-step explanation:

The value of the x will be 19. Then Maria solved an equation correctly.

The solution of the equation means the value of the unknown or variable.

The equation is given below.

3(x + 6) = 5(x – 4)

Maria solved an equation as shown below.

3 (x + 6) = 5 (x – 4)

 3x + 18 = 5x – 20

        38 = 2x

         19 = x

           x = 19

Then Maria solved an equation correctly.

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Answer:

5.6 miles

Step-by-step explanation:

From the question, we can infer that this is an inversely proportionality question.

Let us represent Miles per hour = N

Depth of snow = s

Where k is proportionality constant.

dN/ds = k/s

dN = ds .k/s

Integrating this

∫dN = ∫k/s ds

N = k In s + C

Step 1

We find k

From the question, we are told that:

Given that 20 miles per hour are cleared when the depth of the snow is 2.5 inches

11 miles per hour are cleared when the depth of the snow is 7 inches,

20 = k ln 2.5 + C ..... Equation 1

11 = k ln 7 + C...... Equation 2

11 = k ln 7 + 20 - k ln 2.5

Collect like terms

k ln 2.5 - k ln 7 = 20 - 11

k( In 2.5 - In 7) = 9

k = 9/( In 2.5 - In 7)

k = 9/ -1.0296194172

k = -8.7410938932

Step 2

We find C

20 = k ln 2.5 + C ..... Equation 1

C = 20 - k ln 2.5

C = 20 -(-8.7410938932 In 2.5)

C = 20 + 8.7410938932 In 2.5

C = 20 + 8.0093833208

C = 28.0093833208

Step 3

how many miles of road will be cleared each hour when the depth of the snow is 13 inches

N = k In s + C

= -8.7410938932 ln 13 + 28.0093833208

= -22.420463165 + 28.0093833208

= 5.5889201559

Approximately= 5.6 miles

Therefore, 5.6 miles of road will be cleared each hour when the depth of the snow is 13 inches.

Let , side lawn is a.

Area of boundary is :

[tex]A=4\times5\times a\\\\A=20a\ m^2[/tex]

Now, total cost is given by :

[tex]T=20a\times 36.25\\\\90625=725a\\\\a=125\ m[/tex]

Area left is :

[tex]A'=a^2-20a\\\\A'=125^2-20\times 125\ m^2\\\\A'=13125\ m^2[/tex]

Price to empty space with turfs is :

[tex]P=A'\times 20\\\\P=13125\times 20\\\\P=262500[/tex]

Therefore, the cost of covering the empty space with turfs at the rate of Rs 20 per sq. metre is Rs 262500.

Hence, this is the required solution.