Find the moment of inertia about the x-axis of the first-quadrant area bounded by the curve ve y² = 6x - 9, the x-axis, and x=8. BE 1x = (Write answer to 1 decimal place as needed)

The sqrt() function returns the input, which is the square root. Passing a negative integer to sqrt() is forbidden!

Mathematics department includes quantities and their variations, equations and related structures, shapes and their locations and places to find them. The term "function" refers to a relationship between a set of inputs, each of which has its own output. A relationship between inputs and outputs, where each input leads to one distinct output, is called a function. Each function is assigned a domain and a code area, ie. scope In general, f denotes functions (x). the input is x. There are four main types of features available. based on the following factors: functions, one-to-one functions, many-to-one functions, internal functions and functions.

The Sqrt() function provides an input, which it receives as a return value, which is the square root. Passing a negative integer to sqrt() is forbidden! Defining symbolic constants for use in programs requires the use of the #define Preprocessor directive.

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Answer:

7m + 6

3y+7

15m+9r

4+4k

20+2g

2j+r+h

-2C+8c+12r

9s+4m

Step-by-step explanation:

Hope this helps ;)

good luck .

Answer:

D

Step-by-step explanation:

Somehting bknbye3uehnfhnjun Español uno, como sulfhídrica

The distance from the sun to the other focus is 5.01 × 10⁹ m.

(a) The distance from the center of an ellipse to a focus is an where a is the semi major axis and e is the eccentricity. Thus, the separation of the foci ( in the case of Earth's orbit ) is;

2ae = 2(1.50 × 10¹¹)(0.0167) = 5.01 × 10⁹ m.

(b) To express this in terms of solar radii, we set up a ratio;

(5.01 × 10⁹)/(6.96 × 10⁸) = 7.2

Thus, we can conclude that the distance from the sun to the other focus is 5.01 × 10⁹ m.

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Complete question is;

The Sun's center is at one focus of Earth's orbit. How far from this focus is the other focus, (a) in meters and (b) in terms of the solar radius, 6.96 × 10⁸ m? The eccentricity is 0.0167, and the semimajor axis is 1.50 × 10¹¹ m.

Answer:

4044.32

Explanation:

6506.08 (total) - 2461.76 (top)=

4044.32 (lateral+top)

Formulae:

total = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

top= T= πr2

Answer:

x = 6 and y = 0

Step-by-step explanation:

x + 2y = 6

x = 6 - 2y                          equation(i)

substitute the value of x

x + 2y = 6

6 - 2y - 2y = 6

-4y = 6 - 6

y = 0/-4

y = 0

substitute the value of x in equation (i)

x = 6 - 2y

x = 6 - 2*0

x = 6-0

x = 6

To compare fractions with like numerators always compare denominators.

We can calculate the LCM of the numerators and then multiply the numerators by the corresponding values to make the numerators of two or more fractions the same or similar. If the numerators are similar or the same, comparisons become simple. Verify the denominators of fractions with comparable or identical numerators. The fraction decreases as the denominator increases. They are referred to as having like or the same numerators when two or more fractions have the same numerators but distinct denominators. While they are referred to as having like or the same denominators when the denominators of two or more fractions are the same.

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Answer:

87%

Step-by-step explanation:

I hope this helps!

Hi! To find the level of marketing expenditure that will maximize sales and the maximum sales value, we can follow these steps:

1. The relationship between marketing expenditure (x) and sales (y) is given by the formula: y = 9x - 0.20x^2 + 8.
2. To maximize sales, we need to find the maximum point of this quadratic function, which can be done by finding the vertex.
3. The vertex formula for a quadratic function is: x = -b / (2a), where a and b are coefficients in the equation (in this case, a = -0.20 and b = 9).
4. Calculate x (marketing expenditure) for the vertex: x = -9 / (2 * -0.20) = -9 / -0.40 = 22.50.
5. Round the marketing expenditure to 2 decimal places: 22.50.
6. Plug the marketing expenditure value (x) back into the sales formula to find the maximum sales value (y): y = 9(22.50) - 0.20(22.50)^2 + 8.
7. Calculate y: y = 202.50 - 0.20(506.25) + 8 = 202.50 - 101.25 + 8 = 109.25.
8. Round the maximum sales value to 2 decimal places: 109.25.

So, the level of marketing expenditure that will maximize sales is $22.50, and the maximum sales value is $109.25.

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Answer:7,200

Step-by-step explanation:

you have to do 90*80.0=7,200

The developer can build a maximum of 275 residential lots on the land, given the zoning regulations and the reservation of 25% of the land for streets and green space.

First, we need to find out how much land the developer has reserved for streets and green space:

25% of 80 acres = 0.25 x 80 = 20 acres

Now, we need to subtract this from the total area to get the area available for residential lots:

80 acres - 20 acres = 60 acres

Next, we need to convert the area into square feet:

60 acres x 43,560 square feet/acre = 2,613,600 square feet

Finally, we can divide the available area by the minimum required area per lot to find the maximum number of permissible lots:

2,613,600 square feet ÷ 9,500 square feet/lot ≈ 275 lots

Therefore, the developer can build a maximum of 275 residential lots on the land, given the zoning regulations and the reservation of 25% of the land for streets and green space.

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Answer:

its irrational

7.07106781187

look at how the decimals are all over the place

if it was rational it would've been something like this

7.070707070707 or 7.071071071071

hope that answers your question

Step-by-step explanation:

Answer:

The number of slices of salami and the number of calories are not proportional. Step-by-step explanation: we know that. A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or . In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Step-by-step explanation:

The simplified expression is x^(454)y^(584) * 2^(109).

To simplify the given expression, we need to use the laws of exponents. The laws of exponents are:

- (a^m)^n = a^(mn)
- a^m * a^n = a^(m+n)
- a^m / a^n = a^(m-n)

Using these laws, we can simplify the given expression as follows:

(x^3y^3)^31 * (32x^13y^18)^31 / (2xy^3)^2 * (2xy^3)^2 * (2x)^2 * (2x^3y^5)^3 * (4xy)^5 * (2x^3y^5)^3 * (4x)^5

= x^(3*31)y^(3*31) * 32^31x^(13*31)y^(18*31) / 2^2x^2y^(3*2) * 2^2x^2y^(3*2) * 2^2x^2 * 2^(3*2)x^(3*3)y^(5*3) * 4^5x^5y^(5*5) * 2^(3*2)x^(3*3)y^(5*3) * 4^5x^5

= x^(93)y^(93) * 32^31x^(403)y^(558) / 2^6x^6y^6 * 2^6x^6y^6 * 2^2x^2 * 2^6x^9y^15 * 4^5x^5y^25 * 2^6x^9y^15 * 4^5x^5

= x^(93+403)y^(93+558) * 32^31 / 2^6 * 2^6 * 2^2 * 2^6 * 4^5 * 2^6 * 4^5 * x^(6+6+2+9+5+9+5) * y^(6+6+15+25+15)

= x^(496)y^(651) * 32^31 / 2^(6+6+2+6+6) * 4^(5+5) * x^42 * y^67

= x^(496-42)y^(651-67) * 32^31 / 2^26 * 4^10

= x^(454)y^(584) * 32^31 / 2^26 * 4^10

= x^(454)y^(584) * 2^(5*31) / 2^26 * 2^(2*10)

= x^(454)y^(584) * 2^(155) / 2^(26+20)

= x^(454)y^(584) * 2^(155-46)

= x^(454)y^(584) * 2^(109)

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When we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

To subtract 3 from 22, we can perform the subtraction operation as follows:

22

3

19

We align the numbers vertically and subtract each corresponding place value from right to left. In this case, subtracting 3 from 2 requires borrowing or regrouping. However, since 2 is greater than 3, we can directly subtract 3 from 2 and write the difference, which is 1, in the one's place.

Therefore, the simplified answer is 19.

The subtraction process involves taking away or removing a certain quantity from another. In this case, we subtracted 3 from 22, resulting in a difference of 19. The process of simplifying the answer is simply expressing the result in its most concise and reduced form.

By subtracting 3 from 22, we removed 3 units from the original value of 22, leaving us with 19. This can be visualized as taking away three objects from a group of 22 objects, resulting in a remaining count of 19.

In summary, when we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

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Answer:

-3

Step-by-step explanation:

the 2nd choice is the correct answer, you just have to find the determinant of

D= -4 3

-7 6

which would be -3

Answer:

- 3

Step-by-step explanation:

The determinant of a 2 × 2 matrix A = \(\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right]\) is

det A = ad - bc

Given

\(\left[\begin{array}{ccc}-4&3\\-7&6\\\end{array}\right]\) , then

det A = (- 4 × 6) - (3 × - 7) = - 24 - (- 21) = - 24 + 21 = - 3

Answer:

About 8 hours?

let me know if I'm wrong

multiply the percent by the money

She had filled 88 spray pint bottles.

Given is that Ms. Wu runs a house cleaning business. To save money, she bought a 1 gallon container of concentrated cleaner. She mixed the cleaner with 10 gallons of water. Then, she filled as many 1 - pint spray bottles as she could.

1 pint = 0.125 gallons

Total amount = 11 gallons.

The total number of bottles that can be filled are -

n = 11/0.125

n = 88

Therefore, she had filled 88 spray pint bottles.

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Answer:

B) 2/3=x/4

Step-by-step explanation:

Since the figures are similar, we can use ratios to solve

2             x

----- = -----------

3          4

Answer:

a)x=(3*4)/2 x=12/2 x=6

There are 41 votes in total in the weighted voting system

What is weighted voting ?

Generally, a weighted vote occurs in policy or law making bodies where representatives have varying voting powers (weighted vote) according to how many principals or citizens they represent, or by the number of principals they represent.

The weighted voting situation is given as

[21: 23, 14, 4]

A weighted voting situation is represented as

[q: w1, w2......, wn]

Where q represents the quota and the w1 to wn are the votes

The total number of votes is calculated as

Total = w1 + w1 + .... + wn

So, we have

Total = 23 + 14 + 4

Evaluate the sum

Total = 41

Hence, there are 41 votes in total in the system

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Answer:

$4.04

Step-by-step explanation:

Since the ice cream is 15% off, that means you will have to subtract 0.15 from 1, since 1 is 100%, and 0.15 is 15%. If you do the math, then you will get 0.85, which translates to 85%. So now that we have found the percentage of the original price that we have to pay, we can do some more advanced calculations. Since we found the 1 - 0.15 = 0.85, we will multiply the original price, which is $4.75, by 0.85. You can do this by hand or by calculator. You will get 4.0375, which is your answer. Since this is about money, you will have to add a $ sign at the beginning, which would be $4.0375. Of course, you can't pay a percentage of a cent, so you would have to round that up to $4.04. In conclusion, the sale price of the half-gallon of ice cream is $4.04.

The probability that there are no more than 3 cars in the system is 0.50

Probability:

In math, the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes is referred as probability.

Given,

Because of limited space availability and a desire to provide an acceptable level of service, the bank manager would like to have no more than three cars in the system at any time.

Here we need to find the probability that there are no more than 3 cars in the system.

Here we know that the present level of service for three or fewer cars is the probability that there are 0, 1, 2, or 3 cars in the system.

As per the Model 1, Exhibit 8A.8, the probability of having more than three cars in the system is 1.0 minus the probability of three or fewer cars => 1.0 − 0.685 = 31.5 percent

And the 95 percent service level of three or fewer cars, this states that

=> P0 + P1 + P2 + P3 = 95 percent.

When we can solve this by trial and error for values of λ/μ.

Therefore, the value of λ/μ = 0.50

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According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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This expression for t1 does not depend on t2 and is expressed in terms of the given variables m, θ1, θ2, and the acceleration due to gravity g.

First, let's analyze the forces acting on the mass m.

There are three forces acting on the mass:
1. Gravitational force (mg) acting downwards
2. Tension force t1 acting at an angle θ1 from the vertical
3. Tension force t2 acting at an angle θ2 from the vertical

We can resolve these forces into their vertical and horizontal components.

For the vertical components, we have:
t1 * sin(θ1) + t2 * sin(θ2) = mg

For the horizontal components, we have:
t1 * cos(θ1) = t2 * cos(θ2)

Now we need to eliminate t2 from these equations. Divide the first equation by sin(θ2) and the second equation by cos(θ2):

t1 * sin(θ1) / sin(θ2) + t2 = mg / sin(θ2)
t1 * cos(θ1) / cos(θ2) = t2

Now we can substitute the expression for t2 from the second equation into the first equation:

t1 * sin(θ1) / sin(θ2) + t1 * cos(θ1) / cos(θ2) = mg / sin(θ2)

Factor out t1 from the left side:

t1 * (sin(θ1) / sin(θ2) + cos(θ1) / cos(θ2)) = mg / sin(θ2)

Finally, solve for t1:

t1 = (mg / sin(θ2)) / (sin(θ1) / sin(θ2) + cos(θ1) / cos(θ2))

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Answer:

3

The answer is three cuase I did the math but it's hard to explain on here

Answer:

m = 132

Step-by-step explanation:

(m / 4) + 8 = 41

(m / 4) = 33

m = 132

Step-by-step explanation:

m/4=33

m=33×4=132

,,,,,,,

Answer: There are 4 male goats.

Step-by-step explanation:

We know that n of the 10 goats are male.

The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)

The probability is;

p = n/10

Now the total number of goats is 9, and the number of male goats is n -1

then the probability of selecting a male goat again is:

q = (n-1)/9

The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is

P = p*q = (n/10)*((n-1)/9)

And we know that this probability is equal to 2/15

Then we have:

(n/10)*((n-1)/9) = 2/15

(n*(n-1))/90 = 2/15

n*(n-1) = 90*2/15 = 12

n^2 - n = 12

n^2 - n - 12  = 0

This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:

For an equation:

a*x^2  + b*x + c =  0

The two solutions are given by:

\(x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}\)

For our case, the solutions will be:

\(n = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-12)} }{2*1 } = \frac{1+- 7}{2}\)

The two solutions are:

n = (1 - 7)/2 = -3    (this solution does not make sense, we can not have a negative number of goats)

The other solution is:

n = (1 + 7)/2 = 4

This solution does make sense, this means that we have 4 male goats.