The average daily rate is calculated by dividing the total rooms revenue by the total number of rooms sold. In this case, the average daily rate is (option) $114.63.
The average daily rate is a measure of the average amount of money that a hotel is able to generate per room per day. It is calculated by dividing the total rooms revenue by the total number of rooms sold. In this case, the total rooms' revenue was $75,884 and the total number of rooms sold was 662, which gives us an average daily rate of $114.63. This is a useful measure for hotels to gauge the performance of their business and to set pricing accordingly. It also helps hotels identify opportunities for increasing revenue, such as offering discounts or promotions to attract more customers.
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Simplify (8j3 − 10j2 − 7) − (6j3 − 10j2 − j + 12).
Answer:
Step-by-step explanation:
8j^3-10j^2-7-6j^3+10j^2+j-12
2j^3+j-12
the density of concentrated sulphuric acid is 1.8 g/cm.calculate the volume of 3.1 kg of the acid
Step-by-step explanation:
\(density = \frac{mass}{volume} \\ volume = \frac{mass}{density} \\ changing \: 1.8 {gcm}^{ - 3} to \: {kgm}^{ - 3} \\ multiply \: by \: 1000 \\ = 1800 {kgm}^{ - 3} \\ volume = \frac{3.1}{1800} \\ = 0.00172 {m}^{ 3} \)
The volume of 3.1 kg of concentrated sulfuric acid is 1722.22 \(cm^{3}\).
Here's the solution:
The density of concentrated sulfuric acid is 1.8 g/\(cm^{3}\). This means that 1.8 grams of concentrated sulfuric acid will occupy 1 cubic centimeter of space.
If we have 3.1 kg of concentrated sulfuric acid, then we have 3100 grams of concentrated sulfuric acid.
The volume of this amount of concentrated sulfuric acid will be:
volume = mass / density
volume = 3100 g / 1.8 g/\(cm^{3}\)
volume = 1722.22 \(cm^{3}\)
Therefore, the volume of 3.1 kg of concentrated sulfuric acid is 1722.2\(cm^{3}\)
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Given the diagram shown below, find the value of 3x
Answer:
x= 6
Step-by-step explanation:
by using Pythagoras theorem
(30)={(9x^2+ 16x^2)}1/2
30= 5x
x= 30/5
x= 6
Answer:
18
Step-by-step explanation:
The triangle is a right triangle with sides 3x, 4x, 5x.
5x = 30
x = 6
3x = 3(6) = 18
Answer: 18
If the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the points where Fz60, the following equations are true. = dz Ex дz Fy and ox FZ ду Fz Use these equations to find the values of dz/dx and dz/dy at the given point. 22 - 5xy + 3y2 + 3y3 – 195 = 0, (3,4,3) = dz 2 = (Type an integer or a simplified fraction.) дх |(3,4,3)
Using the given equations Fz = 0, Fy = dz/dx, and Fz = dz/dy, we can find the values of dz/dx and dz/dy at the point (3,4,3) for the equation F(x,y,z) = 22 - 5xy + 3y^2 + 3y^3 - 195 = 0.
Given the equation F(x,y,z) = 22 - 5xy + 3y^2 + 3y^3 - 195 = 0, we need to find dz/dx and dz/dy at the point (3,4,3).
We start by differentiating the equation with respect to z:
Fz = 0.
Next, we use the equations Fy = dz/dx and Fz = dz/dy to find the values of dz/dx and dz/dy.
At the point (3,4,3), we substitute the values into the equations:
Fy = dz/dx |(3,4,3),
Fz = dz/dy |(3,4,3).
Evaluating these equations at (3,4,3), we can find the values of dz/dx and dz/dy. However, without the specific expressions for Fy and Fz, it is not possible to provide the exact numerical values or simplified fractions for dz/dx and dz/dy at (3,4,3) in this case.
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Prove the following logical equivalences without using
truth tables.
(a) ((pF) → p) = T
(b) (p V q)^(-p Vr) → (qvr) = T
(c) (p V q) ^ (¬q → r) ^ ((¬q V r) → q) = q
To prove the logical equivalences without using truth tables, we will use logical reasoning and the laws of logic, such as the law of implication and the law of conjunction.
(a) ((p → q) → p) = T
To prove this logical equivalence, we can use the law of implication. Assume that (p → q) is true. If p is false, then the implication (p → q) would be true regardless of the truth value of q. Therefore, the statement is always true.
(b) (p ∨ q) ∧ (¬p ∨ r) → (q ∨ r) = T
To prove this logical equivalence, we can use the law of implication and the law of conjunction. Assume that (p ∨ q) ∧ (¬p ∨ r) is true. If p is true, then the statement (p ∨ q) is true, and (q ∨ r) would also be true. If p is false, then the statement (¬p ∨ r) is true, and again, (q ∨ r) would be true. Therefore, the statement is always true.
(c) (p ∨ q) ∧ (¬q → r) ∧ ((¬q ∨ r) → q) = q
To prove this logical equivalence, we can use the law of implication and the law of conjunction. Assume that (p ∨ q) ∧ (¬q → r) ∧ ((¬q ∨ r) → q) is true. If q is true, then the statement (p ∨ q) is true, and since q is true, the whole statement is q. If q is false, then the statement (¬q → r) is true, and (¬q ∨ r) would be true, which implies that q is true. Therefore, the statement is always q. By applying logical reasoning and using the laws of logic, we have proven the given logical equivalences without resorting to truth tables.
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An experiment consists of starting a stopwatch at the beginning of a run and stopping it at the end. The random variable in this experiment is the time lapsed during the run. This random variable is a
discrete random variable
None of these answers is correct.
continuous random variable
complex random variable
The correct answer is: None of these answers is correct.The random variable representing the time lapsed during the run in this experiment is a continuous random variable.
I apologize for the previous incorrect answer. The random variable representing the time lapsed during the run in the given experiment is a continuous random variable. A continuous random variable can take on any value within a specified range or interval. In this case, the time elapsed during the run can theoretically be any non-negative real number, allowing for an infinite number of possible outcomes. It is not restricted to specific discrete values or intervals. Examples of continuous random variables include time, length, weight, and temperature.
Continuous random variables are characterized by their probability density function (PDF), which describes the likelihood of observing different values. In contrast, a discrete random variable would have a finite or countable set of possible values, such as the number of heads obtained in a series of coin flips.
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Which of the following are steps in practical problem solving? Solve the sentence for the variable. Assign an identifying variable to the quantity to be found. Make a guess at the value of the variable. Write a sentence stating conditions placed on the quantity. Check if the value is correct.
Answer:
A, B and D
Step-by-step explanation:
Following are steps in practical problem solving:
=> Assign an identifying variable to the quantity to be found.
=> Write a sentence stating conditions placed on the quantity.
=> Solve the sentence for the variable.
Answer:
Assign an identifying variable to the quantity to be found.
.Write a sentence stating conditions placed on the quantity.
Solve the sentence for the variable.
Which of the following functions is graphed below?
A. y = [X]+7
B. y = [X] +5
C. y = [x] -7
D. y = [x]-5
I REALLY NEED HELP PLEASEEE
Answer:
it's the first one.
LETTER "A"
Answer:
Step-by-step explanation:
tis A
Help in this too because in this I am so confused
The value of x in given figure is a whole number that is x = 6.6
What do you mean by Secant Theorem ?When two tangent segment are drawn from an outside point to a circle, the sum of the dimensions of the first tangent segment and its exterior tangent segment equals the sum of the dimensions of the other secant segments and its exterior secant segment.
Given the image and the labelled measurement of two secant segments outside the predetermined circle that have a similar endpoint. We are required to determine what x's value is.
With these measurements, we can use the secant-secant theorem to solve for the value of x as we refer to and analyse the figure. We will therefore have this theorem applied.
(5) [(5) + ( x+4)] = (6) [6 + 7]
(5) [5+x+4] = (6) [13}
5 [9 + x] = 78
45 + 5x = 78
5x = 33
x = 6.6
Therefore the value of x is 6.6
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Which statement describes the mapping? A. The mapping represents y as a function of x, because each y-value corresponds to exactly one x-value. B. The mapping does not represent y as a function of x, because two of the x-values correspond to the same y-value. C. The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value. D. The mapping does not represent y as a function of x, because there are more x-values than different corresponding y-values.
Answer:
The answer is
C. The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value.
Step-by-step explanation:
In mathematics, mapping is used synonymously to a function, and a function is basically a relation between two values or expressions say y and x
like the difference equation relating y and x.
In a function, for every value of x plugged into the function there is always a corresponding value of y.
Example.
Given the function
y=2x+5.
find the value of y when x=0
we are going to substitute x=0 and solve
y=2(0)+5
y=5
so for x=0 y=5
At a school there are 8 students who only play violin, 10 students who play guitar, 3 students who play both, and 12 students who don't play any instrument at all. If a student is randomly selected from this school, what is the probability that they play violin or guitar?
Simplify your answer.
7/11 or 21/33 (higher term)
hope this helped
2/11 rounded to the nearest thousand
Answer:
0
Step-by-step explanation:
Find 3 ratios that are equivalent to the given ratio.18:21
Three ratios that are equivalent to 18:21 are 6 : 7, 36 : 42 and 72 : 84
How to find 3 ratios that are equivalent to 18:21?
An equivalent ratio is a ratio that represents the same relationship between numbers as another ratio, but with different values.
You can create equivalent ratios by multiplying or dividing both parts of the ratio by the same non-zero number. For example, if a ratio is 4:8, an equivalent ratio would be 2:4.
Thus, 3 ratios that are equivalent to 18:21 can be:
18 : 21 = 6 : 7 (divide both sides by 3)
18 : 21 = 36 : 42 (multiply both sides by 2)
18 : 21 = 72 : 84 (multiply both sides by 4)
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help me on the 1 toooo
Answer:
third one
Step-by-step explanation:
6 - 4 is it decreased by four
x = the number
the = sign means 8 is the answer
Answer: I think its going to be C
Step-by-step explanation:
Because the question is asking you six decreased by 4 times a number is 8. So basically I guess it will be 6-4x=8. hope it helps :)
Three alleles (alternative versions of a gene) A, B, and O determine the four blood types A (AA or AO), B (BB or BO), O (OO), and AB. The Hardy-Weinberg Law states that the proportion of individuals in a population who carry two different
alleles is P=2pq+2pr+2rq where p, q, and r are the proportions of A, B, and O in the
population. Use the fact that to show that p+q+r=1 is at most 2/3.
Answer:
The fact that shows that p+q+r=1 is at most 2/3 is well explained from what we have below.
Step-by-step explanation:
Given that:
The maximum of function P = 2pq+2pr+2rq is at most 2/3.
where ;
p+q+r=1
From p+q+r=1
Let make r the subject ; then r = 1 - p - q
If we replace the value for r into the given function; we have:
P = 2pq+2pr+2rq
P = 2pq+2p(1 - p - q)+2(1 - p - q)q
P = 2pq + 2p - 2p² - 2pq + 2q -2pq -2q²
P = 2p - 2p² + 2q -2pq -2q²
By applying the standard method for determining critical points we obtain:
\(P_p\) = -4p - 2q + 2 = 0
\(P_q\) = -4q - 2p + 2 = 0
Divide all through by 2
\(P_p\) = -2p - q + 1 = 0
\(P_q\) = -2q - p + 1 = 0
\(P_p\) = -2p - q = - 1
\(P_q\) = -2q - p = - 1
Multiplying both sides by - ; we have:
\(P_p\) = 2p + q = 1 ----- (1)
\(P_q\) = 2q + p = 1 ------(2)
From equation (1) ; let make q the subject ; then
2p + q = 1
q = 1 - 2p
Now; let us replace the value of q = 1-2p into equation (2) , we have:
2q + p = 1
2(1-2p)+ p = 1
2 - 4p+p = 1
2 - 3p = 1
3p = 2-1
p = 1/3
Replacing the value of p = 1/3 into equation (1) ; we have :
2p + q = 1
2(1/3) + q = 1
2/3 + q = 1
q = 1 -2/3
q = 1/3
Taking the second derivative D; we have
\(D = P_{pp}P_{qq}-p^2_{pq}\)
D = -4 × -4 - (2²)
D = 16 - 4
D = 12
This implies that the given function has a minimum or maximum at its critical point for which 12 > 0
Therefore , the value for function p = q = r since p, q, and r are the proportions of A, B, and O in the population.
Hence r = 1/3
P=2pq+2pr+2rq
P = 2(1/3)(1/3) + 2(1/3)(1/3) + 2(1/3)(1/3)
P = 6/9
P = 2/3
The graph of y = x4 – 2x2 + 1 is shown.
On a coordinate plane, a curved line has two minimum values at (negative 1, 0) and (1, 0) and one maximum value. Point A is at (negative 0.5, 0.5), point B is at (0, 1), point C is at (1, 0), and point D is at (1.6, 3).
Which point is a relative maximum?
A
B
C
D
Answer:
B
Step-by-step explanation:
relative maximum
is
the highest point after it comes from infinity
and
the highest point before it goes back to infinity
if the sum of two angles is 180°,then each is the___of the other
Step-by-step explanation:
"If the sum of 2 angles is 180°, then each is the supplementary angle of the other".
give f(x) = 3x + 3, solve for x when f(x) = 6
Answer:
x = 1
Step-by-step explanation:
f(x) = 3x + 3
f(x) = 6
=> 3x + 3 = 6
=> 3x = 3
=> x = 1
Help quick pls
The product of three different positive integers is equal to 7^3. What is the sum of the three integers?'
Answer:
it must be 21
Step-by-step explanation:
I have very fast I think giving test just thank the answer after test mark me brainliest
PLS HELP FAST
A plane in which the coordinates of a point are its distances from two intersecting perpendicular lines called axes.
Which term is defined in the above statement?
Question 6 options:
Air Plane
Coordinate Plane
Quadrant
Ordered Pair
Answer:
Coordinate plain
Step-by-step explanation:
airplane... i think you know what that is, and quadrant is the squares sectored off by a coordinate plane.
34 entre 250.6 con operacion
De acuerdo con la información del enunciado, el resultado de esta operación matemática (división) es 0,13
¿Cómo solucionar la división?Para solucionar la división, debemos realizar el siguiente procedimiento:Identificar las partes de la división (dividendo y divisor), en este caso como el divisor es más grande, debemos añadir un cero y una coma en el cociente para añadir un cero en el dividendo.Una vez hemos agregado un cero al dividendo, debemos identificar un número que al multiplicarlo con el divisor no de menor o igual al dividendo, en este caso sería 1, porque 250.6 * 1 = 250.6Entonces debemos hallar la diferencia entre 250.6 y 340, este procedimiento se hace con una resta y daría 89,4.Una vez hallamos este número, debemos identificar otro número para el cociente que multiplicado por 250,6 no de inferior o igual a 894, en este caso sería 3, 3 * 250,6 = 751.8En este paso debemos realizar otra resta para identificar la diferencia entre estos dos número. 894 - 751,8 = 142,2Esta división da como resultado un número decimal de varios valores por lo que podemos repetir este procedimiento tantas veces sea necesario dependiendo de la exactitud de nuestras necesidades.
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Kylie and Reuben are on the same mountain side with a uniform slope connecting the two of them. Find the point that is exactly halfway in-between Kyle and Reuben along the slope of the mountain.
Multiply using PARTIAL products with decimals method to solve each one.
thanks
Atrice needs to find a container that will hold at least 300 cubic Inches of water. Which of these figures could atrice use
Answer:I think it’s answer B
Step-by-step explanation:because if you measure figure 2 it will be about 451 and you need it to hold about 300 so it can’t be a or c and figure 3 holds about 321 while figure 1 holds about something so I think it’s B
What is the value of x
Answer:
x = 9
y = 5
Step-by-step explanation:
<N and < M are opposite equal sides. So they are equal as well. In addition, the base is equal to the other 2 sides. That means you are dealing with an equilateral triangle. All the angles are equal to 60 degrees.
7x - 3 = 60 degrees Add 3 to both sides
3 3
7x = 63 Divide by 7
x = 63/7
x = 9
Just for the sake of completeness, we'll find y
11y + 5 = 60 Subtract 5 from both sides
-5 -5
11y = 55 Divide by 11
y = 55 /11
y = 5
Someone help me please
Step-by-step explanation:
I think the choose 3 (g , h ,f )
Hii can someone who is really good at math please help me with these 2 math questions. I'm struggling with them!!
An object is moving along the x x -axis. At t t = 0 it is at x x = 0. Its x x -component of velocity vx v x as a function of time is given by vx(t)=αt−βt3 v x ( t ) = α t − β t 3 , where α= α = 7.2 m/s2 m / s 2 and β= β = 4.8 m/s4 m / s 4 .
(a) At what nonzero time t t is the object again at x x = 0? Express your answer with the appropriate units.
An object is moving along the x x -axis. At t t = 0 it is at x x = 0. Its x x -component of velocity vx v x as a function of time is given by vx(t)=αt−βt3 v x ( t ) = α t − β t 3 , where α= α = 7.2 m/s2 m / s 2 and β= β = 4.8 m/s4 m / s 4 the nonzero time at which x = 0 is 1.22 seconds.
To find the time at which the object is again at x=0, we need to solve the equation vx(t) = 0, which gives us:
αt - βt^3 = 0
t(α - βt^2) = 0
The solutions to this equation are t = 0 (which corresponds to the initial position) and t = ±√(α/β). Since we're looking for a nonzero time, we can discard the t = 0 solution and take t = √(α/β):
t = √(α/β) = √(7.2 m/s^2 / 4.8 m/s^4) = √(1.5 s^2) = 1.22 s
Therefore, the object is again at x=0 after a time of 1.22 seconds.
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A chocolatier has 24 caramels chocolates and 36 milk chocolates to put in a boxes each box must have the same number of each type of chocolate what is the greatest number of boxes that the chocolatier can make using all the chocolates
Answer: 4 boxes
Step-by-step explanation: 6 caramel chocolates and 9 milk chocolates in each box.
the arithmetic sequence 1, .25, blank, -1.25, blank
The complete arithmetic sequence is 1, .25, -0.5, -1.25, -2
How to complete the arithmetic sequence?The arithmetic sequence is given as:
1, .25, blank, -1.25, blank
Replace the blanks in the arithmetic sequence with x and y
So, we have:
1, .25, x, -1.25, y
An arithmetic sequence has a common difference (d)
The common difference is calculated using
d = T2 - T1
So, we have
d = 0.25 - 1
d = x - 0.25
d = y + 1.25
Substitute d = x - 0.25 in d = 0.25 - 1
x - 0.25 = 0.25 - 1
This gives
x = 0.25 + 0.25 - 1
Evaluate the sum
x = -0.5
Substitute d = 0.25 - 1 in d = y + 1.25
0.25 - 1 = y + 1.25
This gives
y = 0.25 - 1 - 1.25
Evaluate
y = -2
Hence, the complete arithmetic sequence is 1, .25, -0.5, -1.25, -2
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