Answer:
n= -4
Step-by-step explanation:
Divide by -5 on both sides, regularly, 20/5 is equal to 4 so basically all youre doing is making it -4. Hope this helps :)
-5n=20
-4
I belive........
conjecture the next number in the sequence 20 18 15 11 6
Answer:
0 it went minus 2 minus 3 minus and so forth
region bounded by the given curves is rotated about the specified axis. find the volume of the resulting solid by any method. y = −x2 + 12x − 32, y =
The given problem requires us to find the volume of the solid generated by rotating a region bounded by the given curves around the x-axis. The region is bounded by the given curves\(, y = -x² + 12x - 32 and y = 0.\)The shaded region is bounded by the curves \(`y = -x² + 12x - 32` and `y = 0`\).
The graph of the shaded region is shown below: The limits of integration of the area A (region) are from x = 4 to x = 8 since these are the values where the curve \(`y = -x² + 12x - 32`\)crosses the x-axis.
We'll use the method of disks to compute the volume of the solid generated by rotating the region about the x-axis.Let's consider a disk of radius `r` and thickness `dx` as shown below:
This disk has a volume given by\(`dV = πr²dx`.\)By considering a vertical slice of the shaded region of thickness `dx`, we obtain the radius `r` of the disk as `r = y` and the thickness `dx` as `dx`.
Thus, the volume of the solid generated by rotating the region about the x-axis is given by:\(V = `∫_4^8πy^2 dx`\)Since \(`y = -x² + 12x - 32`\), we have:\(V = `∫_4^8π(-x² + 12x - 32)² dx`\)On simplifying, we get:\(V = `(64/5)π(10√10 - 57)`\)Therefore, the volume of the solid generated by rotating the region about the x-axis is \(`(64/5)π(10√10 - 57)`\).
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Every Friday the boss buys pizza for his workers. Last week the workers finished 5 pizzas. This week
they finished 5 pizzas. Write the ratio of pizzas eaten last week to pizzas eaten this week.
Remember ratios must have two whole numbers.
Answer:
1:1 because they ate the same amount both weeks
please help me asap i need to finish this ixl rn
Using trigonometric functions, we can find the value of w to be = 9.688cm.
Define trigonometric functions?The right triangle's angle serves as the domain input value for the six fundamental trigonometric operations, which return a range of numbers as their output. The angle, expressed in degrees or radians, is the domain of the trigonometric function of f(x) = sin, also referred to as the "trig function," and its range is [-1, 1]. In terms of their domain and scope, the other functions are comparable. Algebra, geometry, and calculus all make extensive use of trigonometric functions.
Here in the question,
We have a right-angled triangle.
Basse of the triangle = 8√3cm.
It's an isosceles triangle.
So, cos45° = w/8√3
⇒ 0.70 = w/8√3
Cross multiplying:
⇒ w = 0.70 × 8√3
⇒ w = 9.688 cm.
Therefore, the measure of the length of the side w = 9.688cm.
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In the island nation of Autarka there are two amusement parks: Alfonso's Wonderland and Bernice's Wild Rides. The amusement parks are located at either end of the island, 1km apart.
Recently, a third rm, VendorCorp, has developed a new automation technology which promises to improve the eciency of amusement park rides. VendorCorp is o ering to sell the exclusive rights to this technology, and has asked the two parks to submit bids.
The new technology promises to reduce the marginal cost of operating rides for a customer by $6. However, experience in other countries has shown that, in about 30% of amusement parks, the technology encounters compatibility issues and only reduces the marginal cost by $3. Unfortunately, there is no way to know whether these issues will be encountered until the technology is installed.
In Autarka there are 9600 people who like to visit an amusement park. Each of these consumers wants to visit one park once. The consumers' homes are evenly spaced across the island, and they each su er a disutility of $24 for each kilometre they travel to reach an amusement park.
With their current technology, it costs an amusement park $12 for each customer they host. At present, the equilibrium price for an amusement park ticket is $36, and each rm has a pro t of $115,200.
This market is best modelled as Hotelling competition. You should neglect xed costs throughout your analysis.
Note: For the purp oses of this assignment you should treat this market as a one- shot game. Do not consider rep etition or asso ciated phenomena such as collusion or predatory pricing.
2.1 Your task
You have been hired by Alfonso's Wonderland to analyse the business case for purchasing the exclusive rights to the automation technology. You have been asked to determine:
The maximum price Alfonso's Wonderland should be willing to pay for the technology.
The price that Alfonso's Wonderland is likely to have to pay if it is successful.
The consequences for Alfonso's Wonderland if Bernice's Wild Rides purchases the exclusive rights instead of Alfonso's Wonderland.
In the analysis section you must complete each of the steps detailed below. When com-pleting the steps you must:
Step 1: Derive an expression for the location of the indi erent consumer. Use PA to represent the price of admission at Alfonso's Wonderland, and PBto represent the price of admission at Bernice's Wild Rides. (2 marks)
Step 2: Find the pro t function for Bernice's Wild Rides. You should assume that Ber- nice's marginal cost is $12. (4 marks)
Step 3: Find Bernice's best-response function. (4 marks)
Step 4: Find the pro t function for Alfonso's Wonderland for the case in which their marginal cost is $6. (4 marks)
Step 5: Find the best-response function for Alfonso's Wonderland for the case in which their marginal cost is $6. (4 marks)
Step 6: Find the equilibrium prices and pro ts for the case in which Alfonso's marginal cost is $6 and Bernice's marginal cost is $12. (7 marks)
Step 7: Find the pro t function for Alfonso's Wonderland for the case in which their marginal cost is $9. (4 marks)
Step 8: Find the best-response function for Alfonso's Wonderland for the case in which their marginal cost is $9. (4 marks)
Step 9: Find the equilibrium prices and pro ts for the case in which Alfonso's marginal cost is $9 and Bernice's marginal cost is $12. (7 marks)
The expression is x = (PA - PB) / (2 * (24 + 12)).Alfonso's marginal cost is $9 and Bernice's marginal cost is $12.Alfonso's best-response function can be determined by maximizing profit function with respect to PA.
The expression for the location of the indifferent consumer can be derived using the Hotelling model, where the consumer is equidistant between the two parks. Let x represent the distance from Alfonso's Wonderland. The expression is x = (PA - PB) / (2 * (24 + 12)).
The profit function for Bernice's Wild Rides can be found by subtracting the marginal cost of $12 from the revenue function, which is equal to the price PB multiplied by the number of customers.
Bernice's best-response function can be determined by maximizing their profit function with respect to PB.
The profit function for Alfonso's Wonderland, with a marginal cost of $6, can be found similarly by subtracting the marginal cost from the revenue function, which is equal to the price PA multiplied by the number of customers.
Alfonso's best-response function can be determined by maximizing their profit function with respect to PA.
The equilibrium prices and profits can be found by solving the simultaneous equations formed by the best-response functions of both parks.
Repeat steps 4 and 5 for the case where Alfonso's marginal cost is $9.
Repeat step 6 for the case where Alfonso's marginal cost is $9 and Bernice's marginal cost is $12.
By following these steps, we can determine the maximum price Alfonso's Wonderland should pay, the likely price they will have to pay, and the consequences of Bernice's Wild Rides acquiring the exclusive rights.
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Find the measure of the given angle. Round to the nearest degree.
(O
6
?
13
15 degrees by eye i think
For the high jump, each competitor receives multiple opportunities to clear the bar at each height. On average, Shane completes 2 out of 3 jumps on the lowest bar, 4 out of 6 jumps on the middle bar, and 1 out of 4 jumps on the highest bar. Write an equation that you could use to find Shane’s overall average number of jumps completed. Calculate Shane’s average using the equation.
Answer:
19/36.
Step-by-step explanation:
Shane’s average was 19/36 jumps completed. Here is the equation: (2/3+4/6+1/4) / 3 =a . 4/6 is = ⅔, so ⅔ + ⅔ = 4/3. ¼ is equal to 3/12 and 4/3 is equal to 16/12, and 16/12 + 3/12=19/12. 19/12 divided by three is 19.36, because it is.
Answer: 19/36
Step-by-step explanation:
A mean equation is hidden in this word problem. Focus on the 2 out of 3, 4 out of 6, and 1 out of 4. Those numbers are actually fractions. Shane managed to complete 2/3 of the jumps on the lowest bar, he managed to complete 4/6 of the jumps on the middle bar, and 1/4 of the jumps on the highest bar.
Step 1: Write the mean equation
(2/3 + 4/6 + 1/4)/3 = x
Step 2: Find the common denominator
3, 6, and 4 are all factors of 12, so 12 is your common denominator
4(2/3) = 8/12
2(4/6) = 8/12
3(1/4) = 3/12
Now rewrite the equation with the common denominator
(8/12 + 8/12 + 3/12)/3 = x
Step 3: Sum the fractions
(19/12)/3 = x
Step 4: I
Invert and multiply
(19/12)/3 = 19/12 * 1/3 = 19/36
This is your answer.
A rectangle has an area of 72 square units. The width of the rectangle is 9 units. The length of the rectangle is 2x + 4.
What is the rectangle's length?
A. 6
B. 7
C. 8
D. 9
Answer:
8
Step-by-step explanation:
If you plug in the answers it will give you 9x6= 54 which is wrong and 9x7=63 and 9x9=81 but 9x8=72.
Answer:
C length = 8
Step-by-step explanation:
Area of Rectangle = lw
A = lw Substitute l = (2x + 4) ; w = 9
72 = (2x + 4)9
72 = 18x + 36
36 = -36
36 = 18x
36/18 = x
2 = x
Substitute into l = 2x + 4 ; l = 2(2) + 4; l = 4 + 4 ; l = 8
for the simple harmonic motion equation d=9 cos(pi/2t) what is the period
The period of the simple harmonic motion described by the equation d = 9 cos(pi/2t) is 4 seconds. The period is the time it takes for the motion to complete one full cycle, and in this case, it takes 4 seconds to do so.
To understand why the period is 4 seconds, let's examine the equation. The cosine function has a period of 2π radians or 360 degrees. In this equation, the argument of the cosine function is (π/2)t. To find the period, we need to determine the value of t that corresponds to one full cycle of the cosine function.
Since the argument is (π/2)t, one full cycle occurs when (π/2)t increases by 2π radians or 360 degrees. Solving for t, we have:
(π/2)t = 2π
Dividing both sides by π/2, we get:
t = 4
Therefore, the value of t that corresponds to one full cycle is 4 seconds, which is the period of the simple harmonic motion described by the equation.
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What is the slope a line perpendicular to the line 2x+4y=8? *
Answer:
slope of line perpendicular to given equation(m)=2
Step-by-step explanation:
find a power series representation for the function. f(x) = 2/ 1 − x^6
Therefore, the power series representation for the function \(f(x) = 2/(1 - x^6)\) is: f(x) = 2 * Σ \((x^{(6n))\), where Σ denotes the sum taken from n = 0 to infinity.
To find a power series representation for the function \(f(x) = 2/(1 - x^6)\), we can start by noting that the function can be expressed as:
\(f(x) = 2 * (1 - x^6)^(-1).\)
We recognize that the expression \((1 - x^6)^{(-1)\) is a geometric series with a common ratio of \(x^6\). Therefore, we can use the formula for the sum of an infinite geometric series:
S = a / (1 - r),
where a is the first term and r is the common ratio.
In this case, a = 1 and r = x^6. Thus, we have:
\((1 - x^6)^(-1) = 1 / (1 - x^6).\)
Substituting this back into the original expression for f(x), we get:
\(f(x) = 2 * (1 / (1 - x^6))\)
Now, we can rewrite the expression using the formula for the sum of an infinite geometric series:
\(f(x) = 2 * (1 + (x^6) + (x^6)^2 + (x^6)^3 + ...)\)
Simplifying further, we have:
\(f(x) = 2 * (1 + x^6 + x^{(12)} + x^{(18)} + ...)\)
f(x) = 2 * Σ \((x^{(6n)})\)
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Benita buys 2 shirts for the same price, s. The sales tax rate is 6.5%.
Write an expression to represent the total cost of the shirts in two different ways.
The two different expressions for the total cost will be written as:-
C = 2S x 1.065
C = 0.13S + 2S
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Benita buys 2 shirts for the same price, s. The sales tax rate is 6.5%.
The two expressions for the total cost of the two shirts will be:-
C = 2S x ( 1 + 0.065)
C = 2S x ( 1.065)
The second way of writing the expression is:-
C = 2S x 0.065 + 2S
C = 0.13S + 2S
Hence, the expressions are C = 2S x 1.065 and C = 0.13S + 2S.
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5000 initial investment triples every 15 years for 60 years
The future value of the investment after 60 years.
Assuming that the investment grows at a fixed rate of return over the 60-year period, we can use the compound interest formula to calculate the future value of the investment.
The formula for calculating the future value of an investment with compound interest is:
\(FV = PV x (1 + r)^n\)
Where:
FV = future value
PV = present value
r = annual interest rate
n = number of compounding periods
In this case, we know that the initial investment is 5000 and it triples every 15 years, so the annual interest rate (r) can be calculated as follows:
\(r = (3)^(1/15) - 1\\r = 0.1095 or 10.95%\)
Now, we can calculate the future value of the investment after 60 years:
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A piece of pipe that is 8 feet long is cut into 1/4 ft pieces. How many pieces can be cut from the pipe?
Responses
A 30 pieces
B 28 pieces
C 8 pieces
D 32 pieces
Answer:it is 32 peices d
Step-by-step explanation:
A hotel room is originally priced at $159.00 per night during the week (Monday-Thursday). On weekends (Friday - Sunday), the price increases by 12%. What is the price of a hotel room on a Saturday night?
Which angle has a cotangent value of -1?
a. Quadrant 1
b. Quadrant 2
c. 120 degrees
d. 135 degrees
Answer:
Solution given:
cotangent x=cot x=-1
now
x=cot -¹(-1)
x=180-45°
x=135°
So
ans is d. 135 degrees.
as cot is negative in 2nd quadrant.
A. 10%
B. 21%
C.30%
D.34%
E.49%
Answer:
34% see explanation below
Step-by-step explanation:
The total number who likes pizza is 73 and the total number of people surveyed is 215
So it'll just be 73/215 × 100 (for the percentage)
Dylan builds a circular enclosure for his dog He uses a tree as the center of the circle. He builds the fence 10.5 yards from the tree. How much fence does he use ?
Answer: 66 yards of fence
Step-by-step explanation:
This is a circular enclosure so the length of the fence must be the circumference of the circular enclosure.
The fence was built 10.5 yards from the centre which would mean that 10.5 yards is the radius of the circle.
The circumference will therefore be:
= 2 * Pie * radius
= 2 * 22/7 * 10.5
= 66 yards of fence
Can anyone help me with this. This is the only assignment I need for today
Answer:
100 - 10 = 90 + 7 = 97%
89/100*97= $86.33
100 + 15 = 115 + 7 = 122%
50/100 X 122= $61
100 + 7
48/100 X 107 = 51.36
51.36 + 10= $61.36
100 + 15 = 115
700/100 X 115 = 805
805 - 700 = $105
these two polygons are congruent. WZ corresponds to.___ BC DA AB CD
Answer: These two polygons are congruent. YX corresponds to CD. The correct option among all the options that are given in the question is the first option or option "A".
"MP" is the one angle or side among the following choices given in the question that is common to TRIANGLE NPW and TRIANGLE OMP . The correct option among all the options that are given in the question is the second option or option "B".
Step-by-step explanation:
Answer:
It's AB
Step-by-step explanation:
A train travels 1 kilometre in 1 minute 20 seconds At this rate, how many kilometres will the train travel in 1 hour?
The train will travel for approximately 50 kilometres in 1 hours.
How to find the time in hours the train covers?The train travels 1 kilometre in 1 minute 20 seconds.
At this rate the number of kilometres the train will travel in 1 hour can be calculated as follows;
Therefore, lets convert 1 minutes and 20 second to hours.
20 seconds = 0.333333 minutes
Hence,
60 minutes = 1 hour
1.33333 minutes = ?
cross multiply
time in hours = 1.3333 / 60
time in hours = 0.02222221666
Therefore,
0.02 hours = 1 km
1 hours = ?
number of kilometres the train will travel in 1 hours = 1 / 0.02 = 50 km
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Indicate which of the functions G(s) represents a Phase system
Not Minimum. Justify your answer.
\( G(s)=\frac{120 s}{(s+2)(s+4)} \) \( G(s)=\frac{(s+5)}{(s+2)(s+4)} \) \( G(s)=\frac{-(s+3)(s+5)}{s(s+2)(s+4)} \) \( G(s)=\frac{(s-3)(s+5)}{s(s+2)(s+4)} \) \( G(s)=\frac{5}{(s+10)\left(s^{2}+7 s+36\r
The answer is (a) G(s) = (120s)/(s+2)(s+4) represents a Phase system.
A Phase system is a system that includes a sinusoidal input and the output that varies according to the input's frequency, amplitude, and phase shift.
Therefore, to determine which of the following functions G(s) represents a phase system, we must investigate the phase shift. We can do so by looking at the denominator's zeros and poles.
A pole is any value of s for which the denominator is equal to zero, while a zero is any value of s for which the numerator is equal to zero.
The phase shift of the transfer function of a system G(s) at frequency ω is given by ϕ(ω) = -∠G(jω), where ∠G(jω) is the phase angle of the frequency response G(jω).Let's check each of the given functions and determine if they represent a Phase system:G(s) = (120s)/(s+2)(s+4)
If we look at the poles of the function, we can see that they are real and negative (-2 and -4).
As a result, we can see that the function is minimum-phase, which means that it represents a Phase system. Hence, the answer is (a) G(s) = (120s)/(s+2)(s+4) represents a Phase system.
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What is the answer to the following calculation, rounded to the correct number of significant figures?100.000 g+ 75.0 g
Answer:
175g
Step-by-step explanation:
100.000g+75.0g= 175g
ps. pls give brainliest answer :)
The sum of the numbers 100.000g and 75.0g in expression is 175g.
What are mathematical operations?Calculate the answer using a math operator is referred to as a mathematical operation.
Basic mathematical operations are addition, multiplication, subtraction and division.
The given numbers are,
100.000g and 75.0g
The zeros can be neglected after decimal points,
So the numbers can be written as,
100g and 75g.
To find the required expression, add 100g and 75g.
100g + 75g = 175g.
The required sum of the numbers is 175g.
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What is the solution to the inequality -3x + 7 > 1? x
Answer:
x < 2
Step-by-step explanation:
Step 1: Subtract 7 from both sides
-3x+7-7>1-7
-3x>-6
Step 2: Divide both sides by -3
-3x/-3>-6/-3
Since you divided by a negative, you must flip the sign.
-3x/-3>-6/-3
x<2
46738294738290748392074893021748930217849032784932017483920174839021784930271849032718904372819047389210748390217489302174893021784930217849302174839021784937894073289147384738473847387483748374384738+12
Answer: 46738294738290748392074893021748930217849032784932017483920174839021784930271849032718904372819047389210748390217489302174893021784930217849302174839021784937894073289147384738473847387483748374384750
Step-by-step explanation:
example 2 major premise: no dogmatists are scholars who encourage free thinking. minor premise: some theologians are scholars who encourage free thinking. conclusion: some theologians are not dogmatists. the major premise in example 2 is an proposition. the minor premise in example 2 is an proposition. the conclusion in example 2 is an proposition. therefore, the mood of the categorical syllogism in example 2 is .
The mood of the categorical syllogism in example 2 is AIO.
In your example, we have the following premises and conclusion:
1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.
The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).
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D
Question 1
a
What is the Least common denominator (LCD) of
1/6 and 1/9 and 1/18
Answer:
its gonna be 1/18
Step-by-step explanation:
I'm pretty good at math honestly tbis was easy
Solve
\(2x^{2} -12x=0\)
Answer:
x = 0
x = 6
Step-by-step explanation:
\(2x^2-12x=0\)
Factor:
\(\implies 2x(x-6)=0\)
\(\implies 2x = 0\)
\(\implies x=0\)
\(\implies x - 6=0\)
\(\implies x =6\)
Solve the problem.
The temperature of water in a certain lake on a day in October can be determined by using the model = 15.2-0.537x
where x is the number of feet down from the surface of the lake and y is the Celsius temperature of the water at that
depth. Based on this model, how deep in the lake is the water 9 degrees? (Round to the nearest foot.)
a. 12
b. 45
c.
67
d. 30
Answer: 12 ft
Step-by-step explanation:
Our equation is y = 15.2 - .537x where "y" is the temperature and "x" is the depth. We want to find the depth when the temperature is 9 degrees. Therefore, we need to plug in y = 9 and find x:
9 = 15.2 - .537x
We subtract 15.2 from both sides and divide by -1 on both sides so that we are working with positive numbers only:
6.2 = .537x
We then divide both sides by .537 to isolate x:
11.55 = x
This rounds to 12, meaning that at 9 degrees, the depth is 12ft.
Please help me!! Thank you.
Answer:
8640
Step-by-step explanation:
According to question,
P= 6000
T=3 year 8 months = 11/3 years
R= 12% per annum
Simple interest is given by :
\(SI=\frac{PRT}{100} \\SI=\frac{6000*12}{100} *\frac{11}{3} \\SI=24*11\\SI=2640 Rs\)
Now,
Amount = P+SI
Amount=6000+2640
Amount=8640 Rs
8640 Rs amount which will clear her debt