what is the to -x<-6 I mean like is there even an answer!!!!!

Answers

Answer 1

Answer:

Step-by-step explanation:

I believe you have to make the -x to a positive by dividing because there is still an invisible one there, like:

-x/-1 < -6/-1

x > 6 .   and switch the sign since you're dividing by a negative : )


Related Questions

what is (1/2,1) on a coordinate plane

Answers

In the given point (1/2,1), 1/2 is on the x axis and 1 represent the y axis. The point (1/2,1) on the coordinate plane is given below;

In the given question we have to represent the given point in the coordinate plane.

The given coordinate is (1/2,1).

Firstly we learn about the coordinate.

The coordinate are the points that shows the position of point on the x axis and y axis.

The first point shows the x axis and second point shows the y axis.

So in the given point 1/2 is on the x axis and 1 represent the y axis.

We can write 1/2 as 0.5.

The point (1/2,1) on the coordinate plane is given below;

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what is (1/2,1) on a coordinate plane

2(x+4)+2=5x+1 solve for x​

Answers

Answer:

x = 3

Step-by-step explanation:

2(x+4) + 2 = 5x + 1

2x + 8 + 2 = 5x + 1

2x + 10 = 5x + 1

-3x + 10 = 1

-3x = -9

x = 3

To solve for x, we need to simplify the equation and isolate the variable. Let's proceed with the given equation:

2(x + 4) + 2 = 5x + 1

First, distribute the 2 to the terms inside the parentheses:

2x + 8 + 2 = 5x + 1

Combine like terms on the left side:

2x + 10 = 5x + 1

Next, let's move all terms containing x to one side of the equation and the constant terms to the other side. We can do this by subtracting 2x from both sides:

2x - 2x + 10 = 5x - 2x + 1

Simplifying further:

10 = 3x + 1

To isolate the x term, subtract 1 from both sides:

10 - 1 = 3x + 1 - 1

9 = 3x

Finally, divide both sides of the equation by 3 to solve for x:

9/3 = 3x/3

3 = ×

Therefore, the solution to the equation is x = 3.

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1. Find the equation of the tangent plane to the surface x^2+y^2−z^2=49 at (5,5,1).
2. Determine the relative maxima/minima/saddle points of the function given by f(x,y)=2x^4−xy^2+2y^2.

Answers

1. The equation of the tangent plane can be written as: 10(x - 5) + 10(y - 5) - 2(z - 1) = 0, Simplifying further: 10x + 10y - 2z - 80 = 0, 2. The function f(x, y) = 2x^4 - xy^2 + 2y^2 has two relative minima at (2, 8) and (2, -8), while the critical point (0, 0) requires further analysis.

1. The equation of the tangent plane to the surface x^2 + y^2 - z^2 = 49 at the point (5, 5, 1) can be found using the concept of partial derivatives. First, let's find the partial derivatives of the given surface equation with respect to x, y, and z:

∂(x^2 + y^2 - z^2)/∂x = 2x

∂(x^2 + y^2 - z^2)/∂y = 2y

∂(x^2 + y^2 - z^2)/∂z = -2z

Now, evaluate these partial derivatives at the point (5, 5, 1):

∂(x^2 + y^2 - z^2)/∂x = 2(5) = 10

∂(x^2 + y^2 - z^2)/∂y = 2(5) = 10

∂(x^2 + y^2 - z^2)/∂z = -2(1) = -2

Using the values of the partial derivatives and the coordinates of the given point, the equation of the tangent plane can be written as:

10(x - 5) + 10(y - 5) - 2(z - 1) = 0

Simplifying further:

10x + 10y - 2z - 80 = 0

2. To determine the relative maxima/minima/saddle points of the function f(x, y) = 2x^4 - xy^2 + 2y^2, we need to find the critical points where the gradient vector is zero or undefined. The gradient vector of the function is given by:

∇f(x, y) = (8x^3 - y^2, -2xy + 4y)

To find the critical points, we set each component of the gradient vector equal to zero and solve for x and y:

8x^3 - y^2 = 0       ...(1)

-2xy + 4y = 0        ...(2)

From equation (2), we can factor out y and get:

y(-2x + 4) = 0

This equation gives us two possibilities: y = 0 or -2x + 4 = 0.

If y = 0, substituting it into equation (1) gives us:

8x^3 = 0

This implies x = 0. Therefore, one critical point is (0, 0).

If -2x + 4 = 0, we find x = 2. Substituting this value into equation (1) gives us:

8(2)^3 - y^2 = 0

Simplifying further:

64 - y^2 = 0

This implies y = ±√64 = ±8. Therefore, the other critical points are (2, 8) and (2, -8).

To determine the nature of these critical points, we need to evaluate the second-order partial derivatives of the function at these points. The second-order partial derivatives are given by:

∂^2f/∂x^2 = 24x^2

∂^2f/∂y^2 = -2x + 4

∂^2f/∂x∂y = -2y

Evaluating these partial derivatives at the critical points, we get:

At (0, 0):

∂^2f/∂x^2 = 24(0)^2 = 0

∂^2f/∂y^2 = -2(0) + 4 = 4

∂^2f/∂x∂y = -2(0) = 0

At (2, 8):

∂^2f/∂x^2 = 24(2)^2 = 96

∂^2f/∂y^2 = -2(2) + 4 = 0

∂^2f/∂x∂y = -2(8) = -16

At (2, -8):

∂^2f/∂x^2 = 24(2)^2 = 96

∂^2f/∂y^2 = -2(2) + 4 = 0

∂^2f/∂x∂y = -2(-8) = 16

Using the second derivative test, we can classify the critical points:

At (0, 0): Since the second partial derivatives do not give conclusive information, further analysis is required.

At (2, 8): The determinant of the Hessian matrix is positive (96 * 0 - (-16)^2 = 256), and the second partial derivative with respect to x is positive. Therefore, the point (2, 8) is a relative minimum.

At (2, -8): The determinant of the Hessian matrix is positive (96 * 0 - 16^2 = 256), and the second partial derivative with respect to x is positive. Therefore, the point (2, -8) is also a relative minimum.

In summary, the function f(x, y) = 2x^4 - xy^2 + 2y^2 has two relative minima at (2, 8) and (2, -8), while the critical point (0, 0) requires further analysis.

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Obie Trice
Real name no gimmicks
Two trailer park girls go round the outside
Round the outside, round the outside
Two trailer park girls go round the outside
Round the outside, round the outside
Guess who's back, back again
Shady's back, tell a friend
Guess who's back, guess who's back?
Guess who's back, guess who's back?
Guess who's back, guess who's back?
Guess who's back?
I've created a monster, 'cause nobody wants to see Marshall no more

Obie TriceReal name no gimmicksTwo trailer park girls go round the outsideRound the outside, round the

Answers

Answer:

they want shady im chop liver come on dip im on your lips its time to settle all my law suites frick you debby

Step-by-step explanation:

Describe two ways to find the answer. Select all that apply.

A.

Rewrite the fraction with a denominator of 100 so the numerator gives the percent.​ Then, divide to write the fraction as a decimal.

B.

Rewrite the fraction with a denominator of 100 so the numerator gives the decimal.​ Then, divide to write the fraction as a percent.

C.

Divide to find the​ decimal, and then divide by 100 to find the percent.

D.

Divide to find the​ decimal, and then write the decimal as a percent.

Answers

Answer:

A and D

Step-by-step explanation:

Consider a male restroom design with minimum plumbing requirements of 12 water closets and 13 lavatories, which one of the following is closest to the minimum space required with considering urinal substitution? Select one: O a. 222 b. 219 c. 237 d. 249

Answers

none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.

To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.

The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.

Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:

Minimum space required for water closets = 12 water closets * 30 inches = 360 inches

Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches

Adding these two values together, we get a total minimum space requirement of 672 inches.

Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.

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Which demonstrates the MOST effective word order for the following sentence?
All communities, no matter how diverse, have a number of needs that can be met by student
volunteers.
O All communities have a number of needs that can be met by student volunteer, no matter how diverse.
O No matter how diverse, communities have a number of needs that can be met by student volunteers.
O All communities have a number of needs, no matter how diverse, that can be met by student volunteers.
O Leave it as is.

Answers

A varied group of volunteers is frequently better able to function as a team since having a variety of viewpoints and personalities helps facilitate collaboration.

What is diversity in volunteering?

Diversity in volunteering refers to both the individuals participating and the opportunities offered. Regardless of ethnicity, gender, religion, sexual orientation, or other characteristics, volunteering should be a process that welcomes participation from people with a variety of backgrounds and talents.

People can learn from one another as a result of diversity, which introduces new ideas and experiences. Better problem-solving results from incorporating many ideas and perspectives. Working in diverse teams fosters innovation and encourages dialogue. Our culture benefits from variety as well.

Any employee, regardless of gender, race, age, ethnicity, physical ability, sexual orientation, religion, or other characteristic, has the same rights and opportunities in a diverse workplace.

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Determine an interval that a root of
f(x)=5cosx)−√x^2 +1+2^x−1
lies on

Answers

The root of the function \(\(f(x) = 5\cos(x) - \sqrt{x^2 + 1} + 2^{x-1}\)\) lies within the interval \(\([-1, 0]\)\).

To find the interval where the root of the given function lies, we need to analyze the behavior of the function within certain intervals. Let's consider the interval  \(\([-1, 0]\)\).. For \(\(x = -1\)\), we have \(\(f(-1) = 5\cos(-1) - \sqrt{(-1)^2 + 1} + 2^{-2}\)\). Since \(\(\cos(-1)\)\) is positive and the other terms are also positive, the value of \(\(f(-1)\)\) is positive.

Now, for \(\(x = 0\)\), we have \(\(f(0) = 5\cos(0) - \sqrt{0^2 + 1} + 2^{-1}\)\). Since \(\(\cos(0)\)\) is positive and the other terms are positive, the value of \(\(f(0)\)\) is positive.

As the function is continuous, and it changes sign from positive to negative within the interval  \(\([-1, 0]\)\) (as \(\(f(-1)\)\) and \(\(f(0)\)\) have different signs), by the Intermediate Value Theorem, there exists at least one root of the function within this interval. Therefore, we can conclude that the root of \(\(f(x)\)\) lies within the interval  \(\([-1, 0]\)\).

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what is the pattern of these numbers

1, 4, 9, 16, 25, ...

Answers

Answer:

Each term is the square of the position it is in the sequence.

1²   2²   3²   4²   5²

Answer:

The amount added after every term is +2 so, +3, +5, +7, +9... etc

Step-by-step explanation:

Another pattern would be that it is 1 squared, 2 squared, 3 squared, 4 squared and so on.

Easton is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. easton will earn $40 every time one of his songs is played in a commercial and he will earn $110 every time one of his songs is played in a movie. easton's songs were played on 6 more commercials than movies, and his total earnings on the royalties from all commercials and movies was $840. determine the number of commercials and the number of movies on which easton's songs were played.

Answers

The number of time Easton's song was played on commercials is 10 times.

The number of time Easton's song was played during a movie is 4 times.

How many times was the song played in commercials and during movies?

The first step is to form a system of equations:

40c + 110m = 840 equation 1

c - m = 6

c = 6 + m equation 2

Where:

c = number of times the songs was played in commercials.m =  number of times the songs was played in movies

The system of equations would be solved using the substitution method.

Substitute for c in equation 1 using equation 2

40(6 +  m) + 110m = 840

240 + 40m + 110m = 840

40m + 110m = 840 - 240

150m = 600

m = 600 / 150

m = 4

Substitute for m in equation 2.

c = 6 + 4

c = 10

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Make x the subject of the formula d( x + a ) = c( x + b )

Answers

d(x+a)=c(x+b)
dx+da=cx+cab
dx-cx=cb-da

Answer:

x = (cb - da)/(d-c)

Step-by-step explanation:

d( x + a ) = c( x + b )

dx + da = cx + cb

dx - cx = cb - da

x(d-c) = cb - da

x = (cb - da)/(d-c)

.Which of the following Pearson correlations shows the greatest strength or consistency of relationship?
a. â€"0.90 b. +0.74 c. +0.85 d. â€"0.33

Answers

The absolute value of the Pearson correlation coefficient indicates the strength or consistency of the relationship between two variables.

Therefore, the Pearson correlation coefficient with the greatest strength or consistency of relationship is the one with the highest absolute value.

In this case, the answer is:

a. â€"0.90

because it has the highest absolute value (|â€"0.90| = 0.90) among the options given. This indicates a very strong negative relationship between the two variables being compared.

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please I need the answers now​

please I need the answers now

Answers

a 2
b -42/3
c 10
d 36/5
e -2/5
f 18/5
g 2
h 30/7
i 6
j 8
please I need the answers now

What is the operation symbol if the question is like this.
52=8___(4___5)___20

Answers

Answer:

52= 8×(4+5)-20

so I guess it's correct

What is linear equation Class 8 example?

Answers

such pair of equation that have only one pair of solutions which satisfy both equation is linear equation

at top cruising speed, a mako shark can swim 4 kilometers in 1/10. a blue whale can swim 5 kilometers in 1/4 hour. which animal swims faster at top cruising speed? how much faster?

Answers

Answer:Blue whale

Step-by-step explanation:

The blue whale goes  an extra kilometer faster

The Mako shark faster at top cruising speed and by 20km/h.

Given that,

The mamo shark should swim 4 km in one-fourth.While on the other hand, Blue whales should swim 5 km in one-fourth hour.

Based on the above information, the calculation is as follows:

We know that

\(Speed = \frac{Distance}{Time}\)

For Mako shark,

\(= \frac{4}{\frac{1}{10} }\)

= 40 km/h

For Blue whales

\(= \frac{5}{\frac{1}{4} }\)

= 20 km/h

Based on the above calculations we can say that the Mako shark should be faster and by 20 km/h.

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numbers 12321, 50005, and 61016 are called palindromes (a palindrome number is a number that is the same when written forwards or backwards). how many 5- digit even palindromes are there?

Answers

The total number of 5- digit even palindromes present is 400 numbers.

Define the term palindrome number?The same number can be read both forward and backward and be considered palindromic.Saippuakivikauppias (19 letters), that is Finnish for a lye trader, is the longest reported palindromic word (caustic soda).

For the stated question-

The plindrome must start and end in 2, 4, 6, and 8 different ways (e.g., 22122, 44144) if it is to be even.The five-digit middle number could be 0 to 9 (10 ways), for example, 22522 or 22822The second and fourth numbers must also be the same, i.e., 0-9(10 ways).

For example, 23432, 85658,

The number of 5- digit even palindromes are formed as;

4 * 10 * 10 = 400.

Thus, the total number of 5- digit even palindromes present is 400 numbers.

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Sonya, who is paid time and a half for hours worked in excess of 40 hours, had gross weekly wages of $345 for 44 hours worked. What is her regular hourly rate?

Answers

Answer:

$7.5/hour

Step-by-step explanation:

Sonya is paid time and half for hours worked in excess of 40 hours

She has a gross weekly wages of $345 for 44 hours

Let y represent sonya's hourly rate

Since she is paid one and half then it can be represented as 1.5y

Sonya is suppose to work for a period of 40 hours, this means that she has 4 overtime hours

Therefore Sonya regular hourly rate can be calculated as follows

40y + 4(1.5y) = 345

40y + 6y = 345

46y= 345

y = 345/46

y= 7.5

Hence Sonya's regular hourly rate is $7.5/hour

Help me please guys

Help me please guys

Answers

Answer:

1st box is -4

2nd box is -4

3rd box is 3

4th box is -1

Answer: 15x squared -4x-3

rewrite the expression

15x squared + 5x-9x-3

factor the expressions

5x × (3x+1)-3(3x+1)

factor the expression

solution

(3x + 1) × (5x - 3)

How much more is .00004 than .000004

Answers

The number .00004 is .000036 more than the number .000004.

What is the difference between the two numbers .00004 and .000004?

As evident in the task content; the difference between the decimal numbers .00004 and .000004 is to be determined.

The difference is as follows;

.00004 - .000004

= .000040 and .000004

= .000036.

Ultimately, the difference between the numbers as given is; .000036.

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What is the scale factor from ABC to DEF?

What is the scale factor from ABC to DEF?

Answers

Answer:

0 so D

Step-by-step explanation:

The shape didnt change at all. All the sides are 5 for both triangles.

C
Explanation: any side you have is multiplied by some sort of scale factor. In this instance, if you multiply the sides of ABC by a scale factor of 1, you will get the similar side lengths of DEF (the same as ABC)
Answer D may be tempting but multiplying your sides by 0 would make the triangle…well disappear :D

Evaluate the derived system of Linear equation from a given mesh analysis circuit using Gauss-Jacobi Method. Tabulate the results and use a terminating condition of Ea ≤ 0.00001 for each variable.

Answers

The Gauss-Jacobi method is an iterative technique used to solve systems of linear equations. Here are the general steps:

1. Write down the system of linear equations derived from the mesh analysis of the circuit.

2. Rearrange the equations so that the variables appear on one side and the constant terms on the other side.

3. Initialize the variables to some initial values.

4. For each equation, calculate the new value of the variable based on the previous values of the other variables. Repeat this step for each equation.

5. Check the error for each variable by comparing the new value with the previous value. If the error is below a specified threshold (such as Ea ≤ 0.00001), terminate the iteration. Otherwise, go back to step 4 and repeat the process.

6. Once the iteration is terminated, you will have the approximate values of the variables.

Now, let's consider an example to illustrate the Gauss-Jacobi method:

Suppose we have the following system of linear equations derived from a mesh analysis of a circuit:

Equation 1: 4x - y + z = 10

Equation 2: x + 5y - 2z = -4

Equation 3: 2x + y + 7z = 6

Let's initialize the variables:

x = 0, y = 0, z = 0

We can start the iterative process as follows:

Iteration 1:

New value of x: (10 + y - z) / 4

New value of y: (-4 - x + 2z) / 5

New value of z: (6 - 2x - y) / 7

Iteration 2:

New value of x: (10 + y - z) / 4

New value of y: (-4 - x + 2z) / 5

New value of z: (6 - 2x - y) / 7

Continue the iterations until the errors for each variable are below the specified threshold (Ea ≤ 0.00001).

Finally, you can tabulate the results, including the values of x, y, z at each iteration until convergence.

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Problem Description: An example of arithmetic progression would be a series of integers (which we will call terms) like: 3, 7, 11, 15, 19, 23, 27, 31, ... Note that 3 is the first term, 7 is the second term, 11 is the 3rd term, etc. 4 is the common difference between any two consecutive terms. Now, if we know that the progression has 100 terms, we would be interested in calculating the 100th term as well as the sum and the float average of all 100 terms. The following formulas can be used to calculate these items: LastTerm = FirstTerm + (NumberOfTerms - 1) x CommonDifference Sum of all terms = NumberOfTerms x (FirstTerm + LastTerm) / 2 Average of all terms = (Sum of all terms) / NumberOf Terms The program should adhere to the following pseudocode: 1. Prompt for and read the first term 2. 3. Prompt for and read the common difference Prompt for and read the number of terms Calculate the last term (see formula above) 4. 5. Calculate the sum of all the terms (see formula above) Calculate the average of all the terms (see formula above) 7. Display the results 6. Your program must match the following sample run (between the lines of dashes). Note that the 3, 3, and 100 on the first three lines were entered by the user. You should also check results for other set of inputs as well. Enter first term: 3 Enter common difference: 3 Enter number of terms: 100 The last term is 300 The sum of all the terms is 15150 The average of all the terms is 151.5

Answers

The last term is 300

The sum of all the terms is 15150.0

The average of all the terms is 151.5

Here is an example solution in Python that follows the given pseudocode:

# Prompt for and read the first term

first_term = int(input("Enter first term: "))

# Prompt for and read the common difference

common_difference = int(input("Enter common difference: "))

# Prompt for and read the number of terms

number_of_terms = int(input("Enter number of terms: "))

# Calculate the last term

last_term = first_term + (number_of_terms - 1) * common_difference

# Calculate the sum of all the terms

sum_of_terms = number_of_terms * (first_term + last_term) / 2

# Calculate the average of all the terms

average_of_terms = sum_of_terms / number_of_terms

# Display the results

print("The last term is", last_term)

print("The sum of all the terms is", sum_of_terms)

print("The average of all the terms is", average_of_terms)

If you run this code and enter the values from the sample run (first term: 3, common difference: 3, number of terms: 100), it will produce the following output:

The last term is 300

The sum of all the terms is 15150.0

The average of all the terms is 151.5

The program prompts the user for the first term, common difference, and number of terms. Then it calculates the last term using the given formula. Next, it calculates the sum of all the terms and the average of all the terms using the provided formulas. Finally, it displays the calculated results.

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What is a perfect 5 pointed star

Answers

Answer:A perfect 5 pointed star geometrically is an equilateral concave decagon, it is also a common ideogram in modern culture.

Step-by-step explanation:

A random sample of teenagers were surveyed about
their favorite sport. The bar graph below displays their
responses.
Frequency
(0
Basketball
Favorite Sports
Football
Lacrosse
Soccer
Favorite Sport
Volleyball
Which of the following statements is correct?
O The bar for lacrosse is one-third the height of the
bar for football.
O More teenagers in the sample chose lacrosse over
volleyball as their favorite sport.
OTwice as many teenagers in the sample chose
soccer over basketball as their favorite sport.
Twice as many teenagers in the sample chose
football over basketball as their favorite sport.

Answers

The bar for lacrosse is one third the height of the bar for football

Answer:

it is C i just got a 100 on the unit test review

Step-by-step explanation:

I need help! Can you show working out? ​

I need help! Can you show working out?

Answers

So there are 152 machines. After 24 hours of operation they make 1.47x\(10^{7} \)

So we know that 1.47x\(10^{7} \) = 14,700,000.


Now we just divide this by 24.

14700000/24=612,500

Now thats the total, we need to divide by 152 since there are that many machines that make up that number.

612,500/152 about 4029


So your rate is 4029 per hour per machine.

. The cost of a 30 second commercial during the Super Bowl in 2000 was $2.5 million. The cost of a 30 second commercial during the Super Bowl in 2010 was $4.5 million. Let x represent the number of years since 2000 and y represent the cost of a 30 second commercial( in millions of dollars). Write two ordered pairs that represent this situation. *

Answers

Answer:

The two ordered pairs that represent this situation are :

\((0,2.5)\) and \((10,4.5)\)

Step-by-step explanation:

We know that the cost of a 30 second commercial during the Super Bowl in 2000 was $2.5 million.

We also know that the cost of a 30 second commercial during the Super Bowl in 2010 was $4.5 million.

The variable ''x'' represents the number of years since 2000 and the variable ''y'' represents the cost of a 30 second commercial (in millions of dollars).

An ordered pair is a pair with the following form :

\((a,b)\)

Where ''a'' and ''b'' are real numbers. Generally, when we are talking about functions we write the ordered pair as \((x,y)\)

In the first case, we have \(x=0\) and \(y=2.5\)

We can't forget how we defined the variables ''x'' and 'y''.

In the second case, we have \(x=10\) (Ten years from 2000 to 2010) and \(y=4.5\)

The two ordered pairs that represent this situation are :

\((0,2.5)\) and \((10,4.5)\).

an hyperboloid is a 3d shape whose cross sections are hyperbolas. a nuclear cooling tower is in the shape of a portion of a hyperboloid. a cross section of the cooling tower can be modeled by the hyperbola shown below, centered at the origin and opening left/right. if the smallest diameter of the cooling tower is 180 m and the diameter is 195 m at its highest point, 80 m above, write the equation of the hyperbola.

Answers

The equation of the hyperbola for the cross section of the cooling tower is x²/8100 - y²/9506.25 = 1.

We must take into account its characteristics in order to formulate the hyperbola's equation for the cooling tower's cross section.

Since the origin serves as the hyperbola's centre, its coordinates are (0, 0).

The left/right opening of the hyperbola indicates that the primary axis is horizontal.

The cooling tower's smallest diameter is 180 metres, which is the same length as the minor axis.

The primary axis' 195 m length and the diameter at its highest point are matched.

The hyperbola's highest point is 80 metres above the centre.

These characteristics allow us to write the hyperbola's equation in standard form:

(x - h)²/a² - (y - k)²/b² = 1

Where (h, k) represents the center of the hyperbola.

Substituting the given values:

Center: (h, k) = (0, 0)

Minor axis: 2a = 180 m, so a = 90 m

Major axis: 2b = 195 m, so b = 97.5 m

Vertical shift: c = 80 m

Now we can write the equation of the hyperbola:

x²/90² - y²/97.5² = 1

Simplifying, we have:

x²/8100 - y²/9506.25 = 1

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How many pounds does 16.6 in
3
of gold weigh? (The density of gold is 19.3 g/cm
3
,2.54 cm=1in, and 454 g=1lb.) Hint given in feedback. Note these are not large volumes-a cup of water is about 30in
3
.

Answers

There are 18.384 pounds in 16.6 in³ of gold weighs.

To determine the weight of 16.6 in³ of gold, we can use the given density of gold and conversion factors for inches, centimeters, grams, and pounds.

Density of gold = 19.3 g/cm³

1 inch = 2.54 cm

454 g = 1 lb

Convert the volume from cubic inches to cubic centimeters:

16.6 in³ × (2.54 cm/in)³ = 432.08888 cm³ (rounded to five decimal places)

Calculate the mass of gold using the density and volume:

Mass = Density × Volume

Mass = 19.3 g/cm³ × 432.08888 cm³ = 8352.992 g (rounded to three decimal places)

Convert the mass from grams to pounds:

Mass in pounds = 8352.992 g × (1 lb/454 g) ≈ 18.384 lb (rounded to three decimal places)

Therefore, 16.6 in³ of gold weighs approximately 18.384 pounds.

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The standard form of 40 by -60________

Answers

Answer:

2/3

Step-by-step explanation:

there fore simplified to the lowest term is 2/4

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