To find the area of the surface generated when the curve y = 6√x, for 40 ≤ x ≤ 55, is revolved about the x-axis, we can use the formula for the surface area of revolution:
S = 2π∫[a,b] y √(1 + (dy/dx)^2) dx
In this case, a = 40, b = 55, and y = 6√x. To calculate the derivative dy/dx, we differentiate y with respect to x:
dy/dx = (d/dx)(6√x) = 6/(2√x) = 3/√x
Substituting the values into the formula, we have:
S = 2π∫[40,55] 6√x √(1 + (3/√x)^2) dx
Simplifying the expression inside the square root, we get:
S = 2π∫[40,55] 6√x √(1 + 9/x) dx
Integrating this expression over the interval [40,55] will give us the surface area of revolution.
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Evaluate the following expression when m=4.n=3, and p = -2 (2m+2)/2p
Answer: The answer would be 4
Step-by-step explanation:
Subsitute the variables with the number given so in This case it would be
(2(4)+2^3)/-2(-2)
Use orders of Operations
Solve parenthesis first.
8+8/-2(-2)
16/4
Divide
4
What is the image of (7,8) after a reflection over the line y = x?
Answer:
where is the image? give me the image so I can answer y I urge question
Answer:
(8,7)
Step-by-step explanation:
(7,8)→(8,7)=(8,7)
Which algebraic expression is a polynomial with a degree of 3?
4x3 –
2y3 + 5y2 – 5y
3y3 –
–xy
Answer:
B
Step-by-step explanation:
i got it right on the assignment
Pleas help me with this equation
what is 21 x ? =7
The value of x is 1/3
Expressions and equationsEquations are expressions separated by an equal sign
Given the following equation
21x = 7
We are to find the value of x. Divide both sides by 21
21x/21 = 7/21
x = 7/21
x = 1/3
Hence the value of x is 1/3
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brainliest, 100 points, and its multiple choice!!!!
Answer:
Answer is C
(-2,3)
Step-by-step explanation:
Answer:
(-8, 18)
Step-by-step explanation:
To solve this system of equations using elimination, we want to eliminate one of the variables by adding or subtracting the two equations.
One way to do this is to multiply the second equation by a constant that will make the coefficient of x the same as in the first equation. In this case, we can multiply the second equation by -5, which will give us:
-15x - 10y = -60
Now we can add this equation to the first equation:
5x + 2y = -4
-15x - 10y = -60
-10x - 8y = -64
Dividing both sides by -2, we get:
5x + 4y = 32
Now we have one equation with only x and y, so we can solve for either variable.
Let's solve for y by subtracting 5x from both sides:
5x + 4y = 32
-5x = -5x
4y = 32 - 5x
Dividing both sides by 4, we get:
y = (32 - 5x) / 4
Now we can substitute this expression for y into one of the original equations to solve for x. Let's use the first equation:
5x + 2y = -4
5x + 2[(32 - 5x) / 4] = -4
Multiplying both sides by 4, we get:
20x + 2(32 - 5x) = -16
Simplifying, we get:
20x + 64 - 10x = -16
10x = -80
x = -8
Now we can substitute this value of x into either of the equations to solve for y. Let's use the first equation again:
5x + 2y = -4
5(-8) + 2y = -4
-40 + 2y = -4
2y = 36
y = 18
Therefore, the solution to the system of equations is (x, y) = (-8, 18).
how do you do least from greatest in decimals and greatest from least too....
what ever is bigger So if 12 and 20 which is bigger 20
suppose we select a student at random from among those who were part of the census and learn that the student mainly uses a pc. find the probability that this person is a graduate student. show your work
The probability that this person is a graduate student is 0.3833.
From the recent census
40% of its students mainly used Ma- cintosh computers.
At the time of the census, 67% of the school's students were undergraduates.
In the census, 23% of the respondents were graduate students who said that they used PCs as their primary computers.
We have to find the probability that this person is graduate student.
Let A represent the event that student uses Mac.
So P(A)=40%=0.4, P(A')=60%=0.6
Then let B be the event that randomly chosen student is undergraduate·
So, P(B) = 67%=0.67, P(B')= 33%=0.33
Further, 23% of respondents were graduate. Students who said they used PCs as their Primary Computers
So P(B'∩A')=23%=0.23
If we select a student at random from among those who were part of the Census and learn that student mainly uses PC, then probability that this person is a graduate student is:
P(B'|A') = P(B'∩A')/P(A')
P(B'|A') = 0.23/0.6
P(B'|A') = 0.3833
Hence, the probability that this person is a graduate student is 0.3833.
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The right question is:
Mac or PC? A recent census at a major university revealed that 40% of its students mainly used Ma- cintosh computers (Macs). The rest mainly used PCs. At the time of the census, 67% of the school's students were undergraduates. The rest were gradu- ate students. In the census, 23% of the respondents were graduate students who said that they used PCs as their primary computers. Suppose we select a student at random from among those who were part of the census and learn that the student mainly uses a PC. Find the probability that this person is graduate student. Show your work.
What’s the area of parallelogram A shown?
Step-by-step explanation:
The formula for a parallelogram is A=Base x Height
So you multiply the base, which is 6, and the height, which is 4.
A=6x4
Hope it helps!
ECON-304. SOM13=From-STopic94 SDModal with Equifions. Then, perform ell the calculations required by this problem sek Afiter that, anawer 50.15. Mintiot for Coffericennio: - The quantity of coffce demanded, QD, depends on the gice of coffoe, ? , end the grice of tes (asubstitute) P
c
- The quantity of coffee supplied, Qs, depends ca the price of coffic, P, end be price of electricity, R
∗
.
QD=17−3P+2R
t
QS=1+5P−4R
t
I. Assume the price of tea is $2 and the price of electricity is $1. - What is the equation that devcribe the Demand side of the coffee marken - What is the equation that describe the Supply side of the coffee maken? - What is the cquilibrium Price of coffee? - What is the equilibriam Quantity of coffee notd and guciuned? II. Assume tea is given for free. The price of electricity ramains $1. - What would happen in the market for Colire? (A chorge in Deanal, a chage in Supply, a change in Quantily Demanded, as a change in Querthy Sopplied?) - What would happen to the Price of Coffee? (focrense, decretse oc samened the same?) - What wowld hagpen the quenting of coffoe sold? (increas, decrenss, ar rensined the same?)
The equation that describes the Demand side of the coffee market is QD = 17 - 3P + 4. The equation that describes the Supply side of the coffee market is QS = 1 + 5P - 4R .
To find the equilibrium price of coffee, we will equate both demand and supply functions:
17 - 3P + 2R = 1 + 5P - 4R 8P
= 16 P
= $2.
The equilibrium price of coffee is $2. To find the equilibrium quantity of coffee, we will substitute P in either demand or supply function: QD = 17 - 3($2) + 2($1)
= 11 QS
= 1 + 5($2) - 4($1)
= 7
The equilibrium quantity of coffee demanded and supplied is 7.
When tea is given for free, the demand curve shifts to the left, i.e., there is a decrease in the quantity demanded of coffee. So, there will be a change in Quantity Demanded. Since the demand for coffee will decrease while the supply remains constant, the price of coffee will decrease. The quantity of coffee sold will decrease. Hence, the answer to the above question will be decreased.
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Determine the domain on which the following function is decreasing.
Step-by-step explanation:
The correct domain is [3,8].
The comparison to an invisible spring is pretty
accurate. What kind of forces do you think are
in this "spring" between molecules? Or, what
kind of force do you think attracts and then
repels the molecules (or atoms in a molecule)?
The forces that create the "spring" between molecules are known as intermolecular forces.
These forces are caused by the interactions between the charged particles in molecules, such as electrons and protons, as well as the temporary dipoles that can form in molecules.
There are several types of intermolecular forces, including:
Van der Waals forces: These are weak forces that exist between all molecules and are caused by temporary fluctuations in the electron cloud of each molecule.
Dipole-dipole forces: These forces exist between polar molecules, which have a permanent dipole moment due to differences in electronegativity between the atoms in the molecule.
Hydrogen bonding: This is a type of dipole-dipole interaction that occurs between molecules containing a hydrogen atom bonded to an electronegative atom such as nitrogen, oxygen, or fluorine.
These forces can attract molecules to each other, causing them to stick together, and then repel them, causing them to bounce back. The strength of the intermolecular forces depends on the types of atoms or molecules involved, their shape, and their orientation relative to each other.
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1. Write the x-intercept as an ordered pair (x,y)
Answer:
(2,0)
Step-by-step explanation:
It is (2,0) because that is where the line intersects the x-axis.
Hope this helps :)
Complete the Square
x– 6x + 2 = 0
PLEASE ANSWER
Answer:
somebody will answer for you!
Step-by-step explanation:
A fruit juice box contains 7% juice. How is this percent written as a decimal?
Answer:
0.07?
Step-by-step explanation:
A rental car company offers a rental package for a mid-size car. The cost is comprised of a fixed $40 administrative fee for the cleaning and maintenance of the car plus a rental cost of $45 per day. Using x for the number of days and y for the total cost in dollars, construct a linear function to model the relationship between the number of days and the total cost of renting a mid-size car.
Answer:
y=45x+40
Step-by-step explanation:
A translation moves P(0,5) to P'(3,1). What are the coordinates of the image
of point (-3,-5) under the same translation?
Answer:
xxxxxxzzzjjznzjsbsbsbshj
Step-by-step explanation:
sekjxhxjdjdknxxbbxjdkekmdkdkddo
Help please I’ll give you 25 points
Answer:
=x3y+8
Step-by-step explanation:
Simple Algebra problem. Includes the x and y axis. Also need help finding the perimeter.
jane wants to better understand the trends in poverty rates in phoenix over the past 50 years using phoenix city data. what type of research should jane conduct?
Secondary data analysis type of research should jane conduct .
What does a secondary data approach entail?
The information that has previously been gathered from primary sources and made easily accessible for use in other researchers' studies is referred to as secondary data.
This particular type of data has already been gathered in the past. Data that has already been obtained by another party is referred to as secondary data.
What does secondary analysis research methodology entail?
Utilizing data that has already been collected for a previous study in order to pursue a research interest separate from the original work is known as secondary analysis.
This interest could be a new research question or a different way of looking at the original question.
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A trampoline park has a trampoline that is 8 yards wide and 12 yards long. Approximate the distance (in yards) between opposite con
nearest tenth.
The distance between the opposite sides of the trampoline can be found to be 14. 42 yards
How to find the distance ?To find the distance between the opposite sides of the trampoline, we are essentially finding the diagonal length. We can use the Pythagorean theorem to do this by dividing the trampoline into two right triangles.
The distance between the opposite sides would then be:
c ² = a ² + b ²
c ² = 8 ² + 12 ²
c ² = 64 + 144
c ² = 208
c = √ 208
c = 14. 42 yards
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The weight of football players is normally distributed with a mean of 180 pounds and a standard deviation of 20 pounds. what is the probability of a player weighing less than 215 pounds?
Answer:
Given:
mu = 200 lb, the mean sigma = 25 the standard deviation
For the random variable x = 250 lb, the
z-score is z = (x - mu) / sigma = (250 - 200) / 25 = 2
From standard tables for the normal distribution, obtain
P(x < 250) = 0.977
Answer: 0.977
Please help and match the following. Pt2
Answer:
the first one will be B) x^2-4x+4
the sencond one will be A) x^2-16
the third one will be C) x^2+x-2
the fourth one will be D) -2x^3+4x^2+16x
Step-by-step explanation:
hope this helps now i gotta really go :)
Which statement is correct?
Twenty-nine seventh-grade students chose a sports activity.
Twenty-eight eighth-grade students chose a sports activity.
Twenty-four seventh-grade students chose a non-sports activity.
Thirty-nine eighth-grade students chose a non-sports activity.
Answer:
The ninety
Step-by-step explanation:
Because it's right
What is the answer please hurry I need helpp
The given function is f(x) = 15(1.02)^x, where x is the number of years from the date at which money is initially deposited.
This means that $15 were initially deposited into the account, and the amount grows at an annual rate of 2% (which is represented by 1.02 being raised to the power of x).
Therefore, the correct answer is: $15 were initially deposited into the account, which grows at an annual rate of 2%.
Hope I helped you...
Help me with this 9 math
The height of the cylinder is 4 feet.
How to find the height of a cylinder?The volume of a cylinder can be found as follows;
volume of a cylinder = base area × height
Therefore,
base area = πr²
volume of the cylinder = 48π ft³
base area = 12π ft²
Therefore, let's find the height of the cylinder as follows:
48π = 12π × h
divide both sides of the equation by 12π
h = 48π / 12π
h = 4 ft
Therefore,
height of the cylinder = 4 feet
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36. Walter and Brian each have a CD collection.
The number of CDs in Walter's collection can be represented by x.
The number of CDs in Brian's collection is 3 times the number in
Walter's collection.
The total number of CDs in both collections is 144.
What is x, the number of CDs in Walter's collection?
A. 108
B. 48
C. 72
D. 36
Answer:
x+3x=144
4x=144
144/4=36
X=36
Step-by-step explanation:
5
A Petri dish is filled with 250 bacterial cultures. The number of bacteria in the dish triples
every hour.
Select the recursive and explicit formulas that model the scenario.
The recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹
Calculating the recursive and explicit formulas that model the scenario.From the question, we have the following parameters that can be used in our computation:
Initial = 250 bacterial cultures.Rate = triples every hour.This means that
Initial, a = 250 bacterial cultures.
Rate = 3
So, the recursive formulas is
f(n) = 3f(n - 1), where f(1) = 250
For the explicit formula, we have
f(n) = 250(3)ⁿ‐¹
Hence, the recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹
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Share $112 in the ratio 10:18 PLZ HELP
Answer:
$40 and $72, see below :)
Step-by-step explanation:
One way we can do this is to add the total ratios and then divide that from 112.
10x + 18x = 28x = 112
28x = 112
x = 4
That means, for every ratio, you just have to multiply the amount by 4.
so for example, 10 is just 10 * 4 = 40
So, your answer would be you share the money into $40 and $72
How many solutions does the equation 8z + 1 = 2(4z + 1) have?
Answer:
They have no solutions.
HELP ASAP!!!!!!! NO LINKS OR FAKE ANSWERS OR I WILL REPORT U!
Answer:
Step-by-step explanation:
54, \(1\frac{2}{3}\) , 1, 0.5, 0.03, 0, - 1, - \(1\frac{3}{4}\) , - 4, - 103