Tim​ Urban, owner/manager of​ Urban's Motor Court in Key​ West, is considering outsourcing the daily room cleanup for his motel to​ Duffy's Maid Service. Tim rents an average of 50 rooms for each of 365 nights​ (365 × 50 equals the total rooms rented for the​ year). Tim's cost to clean a room is$12.50. The​ Duffy's Maid Service quote is $ 18.00 per room plus a fixed cost of $25,000 for sundry items such as uniforms with the​ motel's name.​ Tim's annual fixed cost for​ space, equipment, and supplies is $61,000. Based on the given information related to costs for each of the​ options, the crossover point for Time​ = _______nothing room nights ​(round your response to the nearest whole ​number).

Answer:

A

Step-by-step explanation:

Answer:

v = 5

Step-by-step explanation:

Collect like-terms:

\(8v = 3v + 25\)

\(8v - 3v = 25\)

\(5v = 25\)

Divide both sides by 5 to make v the subject:

\(v = 5\)

Step-by-step explanation:

Mark as brainlest plz?

Answer:

Step-by-step explanation:

Given that:

The differential equation; \((x^2-4)^2y'' + (x + 2)y' + 7y = 0\)

The above equation can be better expressed as:

\(y'' + \dfrac{(x+2)}{(x^2-4)^2} \ y'+ \dfrac{7}{(x^2- 4)^2} \ y=0\)

The pattern of the normalized differential equation can be represented as:

y'' + p(x)y' + q(x) y = 0

This implies that:

\(p(x) = \dfrac{(x+2)}{(x^2-4)^2} \\)

\(p(x) = \dfrac{(x+2)}{(x+2)^2 (x-2)^2} \\)

\(p(x) = \dfrac{1}{(x+2)(x-2)^2}\)

Also;

\(q(x) = \dfrac{7}{(x^2-4)^2}\)

\(q(x) = \dfrac{7}{(x+2)^2(x-2)^2}\)

From p(x) and q(x); we will realize that the zeroes of (x+2)(x-2)² = ±2

When x = - 2

\(\lim \limits_{x \to-2} (x+ 2) p(x) = \lim \limits_{x \to2} (x+ 2) \dfrac{1}{(x+2)(x-2)^2}\)

\(\implies \lim \limits_{x \to2} \dfrac{1}{(x-2)^2}\)

\(\implies \dfrac{1}{16}\)

\(\lim \limits_{x \to-2} (x+ 2)^2 q(x) = \lim \limits_{x \to2} (x+ 2)^2 \dfrac{7}{(x+2)^2(x-2)^2}\)

\(\implies \lim \limits_{x \to2} \dfrac{7}{(x-2)^2}\)

\(\implies \dfrac{7}{16}\)

Hence, one (1) of them is non-analytical at x = 2.

Thus, x = 2 is an irregular singular point.

Answer:

13.333333

Step-by-step explanation:

Answer:

13 3/10

Step-by-step explanation:

4 1/5 = 21/5

3 1/6 = 19/6

21 x 19 = 399

5 x 6 = 30

399/30 = 13 9/30

9/30 = 3/10

13 3/10

The trigonometric equation is 5sin²x + 3sinx - 1 = 0.

What is a trigonometric equation?

A trigonometric equation is one that incorporates a variable-based trigonometric function. One illustration of a trigonometric equation is sin x + 2 = 1. This equation or one that is more complicated, such as sin2 x - 2 cos x - 2 = 0, can be used in the equations.

Here, we have

Given: (5/2)cos2x - 1/2 = 3sinx

We know that

cos2x = 1 - 2sin²x

Then our equation become

(5/2) (1 - 2sin²x) - 1/2 = 3sinx

5/2 - 5sin²x - 1/2 = 3sinx

2 - 5sin²x = 3sinx

-5sin²x + 2 - 3sinx = 0

5sin²x + 3sinx - 1 = 0

Hence, the trigonometric equation is 5sin²x + 3sinx - 1 = 0.

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answer: 28561^2in the area involves multiplying by the 4 sides of the shaded square and the shaded is the colored square.

Answer:

y = -5/3 x + 40

Step-by-step explanation:

The general form is y = ax + b, where a is the slope and b is the y intercept.

So immediately you can see that b must be 40, since the line crosses the y axis at 40.

The slope can be calculated by finding two "nice" points on the line that are also grid lines.

How about (0,40) and (6, 30).

Then, calculate the slope by dividing the y difference by the x difference:

(30-40)/(6-0) = -10/6 = -5/3

So C must be the answer.

Answer:

32.8

Step-by-step explanation:

you divide 8 1/5 by 1/4 to find the unit rate.

Answer:

17

Step-by-step explanation:

Answer:17

Step-by-step explanation:

24-7=17

The average speed on the first 30 minutes is 0.2 km per min.

Here we have the graph for the position of a bycicle rider on a 42-minute trip.

On the vertical axis we can see the position, and on the horizontal axis we can see the time.

Remember that:

speed = distance/time.

To find the average speed on the first 30 min, we need to take the quotient between the position after 30 minutes and 30 min.

At 30 min we can see that the position is at 6 km, then the speed will be:

S = 6km/30min = 0.2 km per min.

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Answer:

D. 62 square feet

Step-by-step explanation:

uz + wx + (v+z)(y-u-w)

6*3 + 4*6 + (7+3)(12-6-4)

18 + 24 + 20 = 62

The number of short sleeves that Maria sold is 819.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them.

In this case, Maria’s clothing store sold 1547 shirts with the ratio of short sleeve to long sleeve shirt being 9:8.

The number of short sleeves will be:

= Ratio for short sleeve / Total ratio × Total number of clothes

= 9 / (8 + 9) × 1547

= 9/17 × 1547

= 819

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according to the question the volume of the right rectangular prism is 67.5 cubic inches.

Volume is characterized as the space involved inside the limits of an article in three-layered space. The capacity of the object is another name for it.

A right rectangular prism's volume can be calculated by multiplying its lengths, width, and height. The prism's measurements are 3, 3/4, 5, & 4 1/2 inches.

First, we need to convert 4 1/2 to an improper fraction:

4 1/2 = (4 x 2 + 1)/2 = 9/2

Now, we can multiply the dimensions together to find the volume:

Volume = length x width x height

Volume = 3 x 3/4 x 5 x 9/2

Volume = 67.5 cubic inches

Hence, the bottom rectangular prism has a 67.5 cubic inch volume.

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Answer:

Step-by-step explanation:

y - 5 = 3(x + 1)

y - 5 = 3x + 3

y = 3x + 8

answer is C

Domain of the given function is x∈(-2,∞)

Step-by-step explanation:

The given function is y=\ln(x+2)y=ln(x+2)

Domain is the set of x values for which the function is defined.

And we know that logarithm function is defined only for values greater than zero.

Therefore, for domain we have

x + 2 >0

x > -2

Hence, the domain of the

The domain of the function

f

(

x

,

y

)

=

ln

(

4

−

x

−

y

)

is the region of the x-y plane such that the argument of logarithm function is positive,...

See full answer below.

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What Is Domain and Range in a Function?

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Chapter 7 / Lesson 3

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What are the domain and range of a function? What are the domain and range of the graph of a function? In this lesson, learn the definition of domain and range as it applies to functions as well as how it applies to graphs of functions. Moreover, there will be several examples presented of domain and range and how to find them.

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Find f_x and f_y and graph f, f_x, and f_y with domains. f(x, y) = x^2y^3

Answer:

2.844

Step-by-step explanation:

2.8436 is 2.844 when rounded to the nearest thousandth because the ten thousandth digit is 6, which means you round up for 3. Hope this helps!

Answer:

2.84

Step-by-step explanation:

2.8436 is rounded to the nearest thousands we get 2.84

Keeping the bases and adding the exponents, the simplified expression is:

\(x^{\frac{4}{21}}\)

We keep the bases and add the exponents.

Hence:

\(x^{-\frac{2}{3}} \times x^{\frac{6}{7}} = x^{-\frac{2}{3} + \frac{6}{7}} = x^{\frac{-14 + 18}{21}} = x^{\frac{4}{21}}\)

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Answer:

X = 5

Step-by-step explanation:

28 = 7x + 3 - 2x

28 = 5x + 3

28 - 3 = 5x + 3 - 3

25 = 5x

25/5 = 5x/5

X = 5

Answer:

X = 5

Step-by-step explanation:

1. Combine like terms.

2. Subtract 3 from both sides.

3. Simplify.

4. Divide both sides of the equation by the same term.

5. Simplify.

Hope this helps!

Answer:

see below

Step-by-step explanation:

the axis of symmetry passes through the point ...

\(f(x) = (x-5)^2-4 \Rightarrow x_v=5 \ and \ y_v=-4\)

By considering these rules and properties of integers, the correct result of 6 was obtained.

When writing the response, I considered the following information:

The product or quotient of two integers with different signs is negative. This rule was used to determine that 2(-12) equals -24, not 24.

To subtract an integer, add its opposite. This rule was applied when subtracting -30 from -24, resulting in -24 - (-30) = -24 + 30.

To add integers with opposite signs, subtract the absolute values. The sum has the same sign as the integer with the greater absolute value.

This rule was used to calculate -24 + 30 = 6, where the absolute value of 30 is greater than the absolute value of -24.

By considering these rules and properties of integers, the correct result of 6 was obtained.

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Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

Let's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:

Cost at Rentals Plus = $5.24 + $4.46 * m

Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:

Cost at Speedy Move = $85.24 + $0.46 * m

To find the number of miles that makes the costs equal, we can set up the equation:

$5.24 + $4.46 * m = $85.24 + $0.46 * m

By rearranging the equation, we can solve for 'm':

$4.46 * m - $0.46 * m = $85.24 - $5.24

$4 * m = $80

m = $80 / $4

m = 20

Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

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The probability is closer to one than zero.

Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes,  i.e {(H, H), (H, T), (T, H), (T, T)}.

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Answer:

1/16

Step-by-step explanation:

For 1/4 you multiply the four with the four friends. And you'll get 4x4. You multiply it and get 16. Same as you for it with 1/2. 4x1/2=? Try it out! Hope this helps!

\(\boxed{\sf \dfrac{d}{dx}x^n=nx^{n-1}}\)

\(\boxed{\sf \dfrac{d}{dx}sinx=cosx}\)

Now

\(\\ \sf\longmapsto \dfrac{d}{dx}(x+1)sinx\)

\(\\ \sf\longmapsto 1+cosx\)

sin x + x · cos x + cos x

Step-by-step explanation:

f(x) = u · v → f'(x) = u' · v + u · v'

f(x) = (x + 1) sin x

f'(x) = 1 · sin x + (x + 1) · cos x

f'(x) = sin x + x · cos x + cos x

1. selection of index number: during the construction of index number it is to be kept in mind that the selection of the index number should be correct accordingly.

2. selection of formula: while the construction of index numbers it is compulsory to select the correct formula for the given question.

3. selection of price: selection of prices should be done accordingly while constructing the index numbers.`

construction of index number is also available in two parts:

1. simple

2. weighted

1. simple: the simple method is classified into simple aggregative and simple relative.

2. weighted: the weighted method is classified into a weighted aggregative and weighted average.

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