Answer:
x equals 3
Step-by-step explanation:
hope this helps
What value of c makes 3x²+24x+c contain a perfect square trinomial? Is there an equation to find it or is it just guess and check?
A 600 room hotel gernerated the following room salesfrates 250 rooms sold at 5195 120 rooms sotd at $165 95 roorms sold at 5770 Assume that the occupancy suddenty incroases to 100% and the ADR remalns the sarne. What would tho RevPAR bo?.
a. $179.63
b. $141.17
c. $182.15
d. $163.94
If a 600 room hotel generated the following room sales/ rates: 250 rooms sold at $195, 120 rooms sold at $165, 95 rooms sold at $770 and the occupancy suddenly increases to 100% and the ADR remains the same, then the RevPAR is $236.16.
To calculate the RevPAR, follow these steps:
The formula to calculate the RevPAR is RevPAR= ADR x Occupancy Rate, where ADR= Total Revenue/ Number of rooms available.Substituting the values, we get ADR = (250 x $195 + 120 x $165 + 95 x $770) / (250 + 120 + 95) ⇒ADR = 141700/ 465= $304.73 When the occupancy rate increases to 100%, the occupancy rate is Occupancy Rate = (250 + 120 + 95) / 600 = 0.775 ⇒RevPAR = ADR x Occupancy Rate ⇒RevPAR = $236.16Hence, none of the options provided are correct.
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What is quadratic form of the length of a classroom floor is 1m longer than its width and the area is 54 m2
Answer:
x(x+1)=54,Quadratic equation
what is the vector v⃗ 1 from point o to point e?
The vector v1 from point O to point E is given by <Δx, Δy, Δz>.
The vector v1 from point o to point e is the directed line segment that connects point o to point e. In other words, it is the vector that starts at point o and ends at point e.
To find the vector v 1, you can subtract the coordinates of point o from the coordinates of point e. Thus, v 1 = (xe - xo)i + (ye - yo)j + (ze - zo)k, where i, j, and k are the unit vectors in the x, y, and z directions, respectively.
To find the vector v1 from point O to point E, you need to follow these steps:
Step 1: Identify the coordinates of point O and point E. Let's assume the coordinates of point O are (x1, y1, z1) and point E are (x2, y2, z2).
Step 2: Calculate the differences between the coordinates of point E and point O. Subtract the coordinates of point O from point E:
Δx = x2 - x1
Δy = y2 - y1
Δz = z2 - z1
Step 3: Represent the vector v1 from point O to point E using the differences in coordinates:
v1 = <Δx, Δy, Δz>
That's it! The vector v1 from point O to point E is given by <Δx, Δy, Δz>.
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What is the value of the angle marked with x?
Answer:
146
Step-by-step explanation:
becuase it's parallel, so x = 146
how to solve improper fractions to mixed numbers with example?
Answer: If it was the other way around I would have helped you
Step-by-step explanation:
e.g.
Work out the area of this circle.
Take pi to be 3.142 and give your answer in 2 decimal places.
Answer: 63.63 m²
Explanation:
Area of circle:
π(radius)²Here given:
radius: (diameter/2) = (9/2) = 4.5 m
π should be taken as 3.142
So area of circle:
3.142(4.5)² = 63.6255 ≈ 63.63 (rounded to two decimal place)Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the area of this circle.
\(\triangle~\fbox{\bf{KEY:}}\)
→ \(\bf{Area_{circle}=\pi r^{2}}\)
Notice that we are asked to use 3.142 for \(\pi\) (pi).
The radius isn't given to us; what we have instead is...the diameter.
To find the radius, we divide the diameter by 2.
\(\ddot\bigstar\) Remember this...
\(\fbox{\bf{To\;find\;the\;radius,\;we\;divide\;the\;diameter\;by\;2}}\)
Thus, the radius is
\(\bf{9\div2=4.5}\)
Now substitute the values (3.142 for pi and 4.5 for r):
\(\bf{A=3.142\times4.5^{2} }\)
Simplifying,
\(\bf{A=3.142\times20.25}\)
Simplifying,
\(\bf{A=63.6255\:m}\)
Rounding to 2 decimal places (D.P.):
\(\bf{A=63.63\:m}\)
Hope it helps you out! :D
Ask in comments if any queries arise.
~Just a smiley person helping fellow students :)
let's find the value.
3 upon 8 of 2m (in cm)
Answer:
75 cm
Step-by-step explanation:
1 m = 100 cm , so
2 m = 200 cm
Then
\(\frac{3}{8}\) × 200 cm
= 0.375 × 200 cm
= 75 cm
Jerry took his extended family out for a dinner that cost $480. Jerry paid 5% sales tax and left a 20% tip on $480. What was the total cost?
The amount of the sales tax and tip is $96 and $24, then the total cost of the dinner will be $600.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Jerry took his extended family out for a dinner that cost $480. Jerry paid 5% sales tax and left a 20% tip on $480.
Then the cost of the sales tax will be
→ 0.05 × 480 = $24
Then the amount of the tip will be
→ 0.20 × 480 = $96
Then the total cost of the dinner will be
→ $24 + $96 + $480 = $600
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the product of twice a number and one less than that same number
Answer:
(2n)*(n-1)
Step-by-step explanation:
given the function below find f(7) f(x)= -x^2+9x
Answer:
112
Step-by-step explanation:
f(7) = 7^2 + 9*7 = 49 + 63 = 112
Use implicit differentiation to find the expression for the derivative of the curve: ry + sin(y) cos(x) = y² bonus b) Now find the equation of the tangent line to the curve that passes through
To find the derivative of the curve given by the equation ry + sin(y)cos(x) = y², where r is a constant, we can use implicit differentiation.
Differentiating both sides of the equation with respect to x, we get: r(dy/dx) + (d/dx)(sin(y)cos(x)) = 2yy'(dy/dx). Applying the chain rule, we have: r(dy/dx) - sin(y)sin(x) - cos(y)cos(x)(dy/dx) = 2yy'(dy/dx). Rearranging the terms and factoring out dy/dx, we get: (dy/dx)(r - cos(y)cos(x)) = sin(y)sin(x) - 2yy'(dy/dx). Dividing both sides by (r - cos(y)cos(x)), we obtain the expression for the derivative: dy/dx = (sin(y)sin(x) - 2yy'(dy/dx))/(r - cos(y)cos(x)). Simplifying further, we can isolate dy/dx: dy/dx = (sin(y)sin(x))/(r - cos(y)cos(x)) - (2yy'(dy/dx))/(r - cos(y)cos(x)).
b) To find the equation of the tangent line to the curve that passes through a given point (x₀, y₀), we need to substitute the coordinates of the point into the derivative expression we obtained above. Let's assume the point is (x₀, y₀). Therefore, we have: dy/dx = (sin(y₀)sin(x₀))/(r - cos(y₀)cos(x₀)) - (2y₀y'(dy/dx))/(r - cos(y₀)cos(x₀)). Next, we substitute the values of x₀ and y₀ into the expression for dy/dx and solve for dy/dx: dy/dx = (sin(y₀)sin(x₀))/(r - cos(y₀)cos(x₀)) - (2y₀y'(dy/dx))/(r - cos(y₀)cos(x₀)).
Now, we can rearrange this equation to solve for dy/dx: (dy/dx)[1 + (2y₀)/(r - cos(y₀)cos(x₀))] = (sin(y₀)sin(x₀))/(r - cos(y₀)cos(x₀)). Finally, we can isolate dy/dx by dividing both sides: dy/dx = (sin(y₀)sin(x₀))/(r - cos(y₀)cos(x₀))[1 + (2y₀)/(r - cos(y₀)cos(x₀))]. This expression gives the value of the derivative dy/dx at the point (x₀, y₀), which represents the slope of the tangent line to the curve at that point.
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Solve the equation sin^2x=3Cos^2X.
I would love to graduate...so thanks in advance!
Answer:
240°
Step-by-step explanation:
\(sin^2x=3cos^2x \\ \\ sin^2x=3(1 - sin^2x )\\ \\ sin^2x=3 - 3sin^2x \\ \\ sin^2x + 3sin^2x=3 \\ \\ 4sin^2x=3 \\ \\ sin^2x= \frac{3}{4} \\ \\ sinx= \sqrt{ \frac{3}{4} } \\ \\ sinx= \frac{ \sqrt{3} }{2} \\ \\ sinx= sin \: 60 \degree \\ \\ in \: the \: second \: quadrant \\ sinx= sin \: (180 \degree - 60 \degree ) = sin \: 120 \degree \\ \\ in \: the \: third \: quadrant \\ sin x= sin \: (180 \degree + 60) \degree = sin \: 240 \degree\)
please derive this equation
ģ(Ar) 47 Tm.n+1 + Tm.n-1 + Tm+1,1 + Tm-in + + = 0 min (4.35) k
The equation states that the sum of these temperature values, multiplied by -47 Tm.n divided by (4.35 * k), should equal zero. This equation likely arises from a discretization scheme for solving a heat transfer or diffusion problem numerically, where the temperature at each grid point is approximated based on neighboring points.
The equation you provided is:
Tm,n+1 + Tm,n-1 + Tm+1,1 + Tm-in = -47 Tm.n / (4.35 * k)
This equation appears to represent a numerical scheme or a finite difference approximation for solving a partial differential equation. The equation relates the temperature values at different grid points in a two-dimensional domain. Here's a breakdown of the terms in the equation:
• Tm,n+1 represents the temperature at the (m, n+1) grid point.
• Tm,n-1 represents the temperature at the (m, n-1) grid point.
• Tm+1,1 represents the temperature at the (m+1, 1) grid point.
• Tm-in represents the temperature at the (m, n) grid point.
• k is a constant related to the thermal conductivity of the material.
• 4.35 is a scaling factor.
The equation states that the sum of these temperature values, multiplied by -47 Tm.n divided by (4.35 * k), should equal zero. This equation likely arises from a discretization scheme for solving a heat transfer or diffusion problem numerically, where the temperature at each grid point is approximated based on neighboring points.
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Suppose a monopolist has the following cost function C(Q) = ¼ Q2 (with marginal cost
MC(Q) = ½ Q). Suppose they face demand is P = 100 – ¼ Q.
a. Sketch the market demand, marginal costs, and marginal revenues.
b. What is the monopolist’s optimal level of output and profits?
c. Confirm that demand is elastic at the optimal output.
d. Calculate the firm’s markup.
e. What is the DWL associated with the monopoly output?
f. Suppose the government offered a $10 production subsidy to the monopolist. What is their new optimal output?
g. Does the DWL fall or rise?
The DWL falls when the monopolist receives the subsidy because it leads to an increase in output and a decrease in price.
The cost function and demand function of a monopolist can be found in the question. These can be used to derive the marginal revenue and marginal cost.
The optimal level of output and profit can be derived using the marginal revenue and marginal cost equations. After that, you can confirm that the demand is elastic at the optimal output.
After that, you need to calculate the markup and the DWL associated with the monopoly output. Finally, you need to find the new optimal output and determine if the DWL increases or decreases.
Given:Cost Function C(Q) = ¼ Q2 Marginal cost MC(Q) = ½ Q Demand P = 100 – ¼ Q. a.
Sketch the market demand, marginal costs, and marginal revenues.
Market demand:Marginal cost:Marginal revenue: b. What is the monopolist’s optimal level of output and profits?In the monopolistic market, the optimal level of output and profits are given by the condition that Marginal Revenue = Marginal Cost.
Marginal Revenue is the derivative of Total Revenue with respect to Quantity, which can be found by using the demand equation and solving for Q:TR(Q) = P × Q = (100 – ¼ Q)Q = 100Q – ¼ Q2MR(Q) = dTR(Q)/dQ = 100 – ½ QMarginal Cost is given by the question as MC(Q) = ½ Q.
The monopolist's optimal level of output and profits can be found by equating MR and MC:100 – ½ Q = ½ Q => Q = 66.67 units of outputWhen Q = 66.67, the price is given by the demand equation:P = 100 – ¼ Q => P = 83.33.
Therefore, the monopolist's optimal output is 66.67 and optimal profits are (P – MC) × Q = (83.33 – 33.33) × 66.67 = $2,000.
Confirm that demand is elastic at the optimal output.The demand is elastic at the optimal output if the absolute value of the price elasticity of demand is greater than one.
The price elasticity of demand is given by:Ed = (% Change in Quantity Demanded)/(% Change in Price) = (dQ/Q)/(dP/P) × P/QSince MR = P(1 - 1/Ed), MR is greater than MC if Ed is less than 1 and less than MC if Ed is greater than 1. Therefore, the optimal output occurs where Ed is equal to
Substituting the values of P and Q, we get:Ed = (dQ/Q)/(dP/P) × P/Q = -1.47Therefore, demand is elastic at the optimal output.
Calculate the firm’s markup.The markup is given by the formula (P - MC)/P.Substituting the values of P and MC, we get:(83.33 - 33.33)/83.33 = 0.6 = 60% markup .
What is the DWL associated with the monopoly output?DWL (Deadweight Loss) is the difference between the total surplus in a competitive market and the total surplus in a monopoly market.
The formula for DWL is:DWL = (1/2)(Pmon - Pcomp)(Qcomp - Qmon)DWL can be calculated by using the demand equation and finding the quantity demanded at the monopoly price and the competitive price. At the monopoly price of $83.33, the quantity demanded is 66.67.
At the competitive price of $66.67, the quantity demanded is 100. Therefore, DWL can be calculated as follows:DWL = (1/2)(83.33 - 66.67)(100 - 66.67) = $1,111.1 f.
Suppose the government offered a $10 production subsidy to the monopolist. What is their new optimal output?The new optimal output will be where the new marginal cost equals the original marginal revenue.
The subsidy reduces the marginal cost to (1/2) Q - $10.
Therefore, the monopolist's new optimal output can be found by solving for Q:100 - 1/2 Q + 10 = 1/2 Q => Q = 74.07 units of outputWhen Q = 74.07, the price is given by the demand equation:P = 100 - 1/4 Q => P = $81.48 g. Does the DWL fall or rise?The DWL falls when the monopolist receives the subsidy because it leads to an increase in output and a decrease in price.
Therefore, the deadweight loss falls.
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L is between points O and P. OP is 25 and LP is 17. What is OL? (Write as a number only)
Answer:
8
Step-by-step explanation:
help..........................
Answer:
The answer for this is you say 180-122=58 because of Co interior angle. Then P=58 because of alternate angle
Simplify . (x ^ 5)/(x ^ 2).
Answer:
\(x {}^{3} \)
Step-by-step explanation:
\(\frac{(x {}^{5} )}{( {x}^{2} )}\)
\(x {}^{3} \)
in a bag, there are 4 red shapes, 5 blue shapes, and 3 yellow shapes. there is one triangle, one square, and one circle in each group. there is 1 red and blue rectangle, and 1 blue hexagon. what is the probability of selecting a shape that is blue or a triangle?
What is the value of m that makes the equation true?
5^m x (5^-7) =5^12
Answer:
the answer is m=19
Step-by-step explanation:
5^(m-7)=5^12
m-7=12(5 is cancelled because it is common in both sides)
m=19
hi please help i’ll give brainliest if you give a correct answer please show your reasoning
Answer:
0.088
22x4 is 88 and add the 2 zeros
Step-by-step explanation:
Answer:
0.088.
Step-by-step explanation:
0.22 * 0.4
Now 22 * 4 = 88 and
there are 3 numbers after the decimal points in 0.22 and 0.4 so there has to be 3 numbers after the decimal point in the answer, so it's:
0.088.
Twelve toy turtles run a race.
Each turtle is numbered from 1 to 12. A turtle
can move forward one step whenever their
number is rolled from the sum of two six-sided
number cubes.
Who do you think is most likely to win the race?
Answer:
8 could be the answer of this but im not sure
Determine whether the ratios are equivalent.
3 : 10 and 9 : 25
Please Help!!
Answer:
They aren't
Step-by-step explanation:
9/25 / 3= 3/8.3
3/10 x 3 = 9/30
none of those equal to each other
0.5 (n-4) -3 = 3 - (2n+3)
Answer:
n = 2
Step-by-step explanation:
0.5n - 2 - 3 = 3 - 2n -3
0.5n + 2n = 2 + 3 + 3 -3
2.5n = 5
n = 2
Answer:
Step-by-step explanation:
0.5n - 2 - 3 = 3 - 2n - 3
Solving like terms
0.5n - 5 = - 2n
-5 = - 2n - 0.5n
-5 = - 2.5n
-5/-2.5 = n
2 = n
if a cubic box (all sides the same length) has a volume of 1.0 l, what is the length of each side of the box in cm?
The length of each side of the box is 10 centimeter.
Volume is the amount of space occupied by a three-dimensional figure as measured in cubic units.
Given,
The volume of the cubic box = 1 liter
We know 1 liter= 1000 cubic centimeter
Volume of the cubic box= \(x^3}\)
Then,
\(x^{3}=1000\\ x=\sqrt[3]{1000}\)
x=10 centimeter
Hence, the length of each side of the box is 10 centimeter.
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The temperature of an enclosure for a pet corn snake should be an average of 81° F. For the well-being of the corn snake, the temperature in the enclosure should not vary by more than 5° F. Which absolute value equation could be used to determine the minimum and maximum temperatures recommended for the corn snake enclosure?
Answer: |81-x|<5
Step-by-step explanation:
Given: Temperature of an enclosure for a pet corn snake should be an average of 81° F.
Temperature in the enclosure should not vary by more than 5° F.
Let x= Temperature in the enclosure
Then, difference between average and current temperature should less the 5.
i.e. |81-x|<5 (required absolute value equation )
hence, the absolute value equation could be used to determine the minimum and maximum temperatures recommended for the corn snake enclosure:
|81-x|<5
Using absolute value, it is found that the equation that could be used to determine the minimum and maximum temperatures recommended for the corn snake enclosure is:
\(|T - 81| = 5\)
The absolute value function is defined by:\(|x| = x, x \geq 0\)
\(|x| = -x, x < 0\)
It measures the distance of a point x to the origin.In this problem, the temperature T should be within 5º F of 81ºF, hence, the absolute value of the difference between T and 81 should be of 5, that is:
\(|T - 81| = 5\)
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Please solve evevebbebe
Answer:
D. x ≥ 8
Step-by-step explanation:
Hello!
We can solve this as if it were a regular equation. We can pretend the inequality sign is an equal sign.
Solve:
6x - 15 ≥ 336x ≥ 48 =>add 15 to both sidesx ≥ 48 / 6 => divide both side by 6x ≥ 8The correct answer is option D. x ≥ 8
as lead crime investigator you have been called to a crime that is on a bearing of 016degree from your lab and 342degree from the police station
from your initial investigation there are six suspects. using the table below , find their locations.
Step-by-step explanation:
In India, the first step towards criminal proceeding is an investigation by the police. The investigation is the exclusive domain of the police and can not be curtailed in normal circumstances. The main purpose of an investigation is the identification of the offender so as to serve him with punishment for the crime done by him in accordance with the provisions contained under law. According to Section 156 of the Code of Criminal Procedure, the police have unfettered powers to investigate into a cognizable offence. The term cognizable offence is any act or omission committed by a person under any law in force which is punishable and is considered to be a crime. The police have the authority to arrest any person who has committed a cognizable offence. Beside Criminal investigation, there are other types of investigations which become the part of the life of an investigator. Some of the types of investigation are as follows:
Civil investigation: These are the investigations which are carried on during the civil suits in which violation of law is generally not included and the question of money or property is to be settled;
Negligence investigation: These types of investigations are conducted either by the plaintiff’s counsel to prove the liability of the defendant or by the defendant’s attorney to refute the claims of the plaintiff. It is accomplished by the use of surveillance, interviewing the witnesses;
Corporate investigation: In Corporate investigations the investigator monitors the business of the company and also provides the information about the fraud within or outside the company;
General investigation: It is like an umbrella term including a great variety of investigative activities. These activities may be conducted for different purposes like the determination of the location of witnesses, dishonest employees, fraud etc.
a bucket at the bottom of a well is filled with water with a total weight of 3kg. the bucket is at the end of a 5m rope and the rope weighs 7kg in total. how much work is required to pull the bucket of water to the top of the well?
500 J, is the required work to pull the bucket of water to the top of the well.
From the given question we have the following information
the weight of the bucket is 3kg.
length of rope (h) = 5m
Weight of rope: 7kg
Total weight (rope + bucket) = 10kg
Required Work Done = force × distance travelled (length of rope ) = mgh, where
M = total weight in kg
g--> acceleration due to gravity
h--> length of rope ( height )
g = 10 m/sec² ( default value )
Put all the values in the above formula.
Required work done = 100× 5 = 500 Joules .
So, the bucket of water will require 500J work done for pulling.
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the parent function of a quadratic is translated 3 units right, reflected across the x axis and translated down 2 units. Write the equation for the new transformation
The equation for the new transformation is y = -(x-3)^2 - 2.
The parent function of a quadratic is y = x^2.
To translate it into 3 units right, we need to subtract 3 from x inside the parentheses: y = (x-3)^2.
To reflect the function across the x-axis, we need to negate the entire function: y = -(x-3)^2.
Finally, to translate the function down to 2 units, we need to subtract 2 from the entire function: y = -(x-3)^2 - 2.
So the equation for the new transformation is y = -(x-3)^2 - 2.
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