if a line intersects two other lines then it is a transversal true or false

By forming and solving the equations we know that the speed of the plane was 220 mph.

In mathematical formulas, the equals sign is used to indicate that two expressions are equal.

A mathematical statement that uses the word "equal to" between two expressions with the same value is called an equation.

like 3x + 5 = 15, for instance.

Equations come in a wide variety of forms, including linear, quadratic, cubic, and others.

So, d = rt.

t = d/r

The distances are equal.

140/r = 440/(r + 150)

Cross multiply:

140(r + 150) = 440r

140r + 21,000 = 440r

300r = 21,000

r = 70

70 + 150 = 220 mph

Therefore, by forming and solving the equations we know that the speed of the plane was 220 mph.

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Step-by-step explanation:

the perimeter of a rectangle is

2×length + 2×width

"simplified" means that we calculate everything "away" we can calculate and end up with the minimum of an expression around the variable (in our case p).

18p⁴ - 4p = 2×(6p⁴ - p) + 2×width

the first simplification is that we can divide everything by 2

9p⁴ - 2p = 6p⁴ - p + width

3p⁴ - 2p = -p + width

3p⁴ - p = width

\(Section 10.1: Problem 9Find the center and radius of the sphere x² + 18x + y² - 20y + z² − 8z = -97.\)

\(The given equation of the sphere isx² + 18x + y² - 20y + z² − 8z = -97⇒ (x² + 18x) + (y² - 20y) + (z² − 8z) = -97\)

\(Now, completing the square for x and y, we get (x + 9)² - 81 + (y - 10)² - 100 + z² − 8z = -97⇒ (x + 9)² + (y - 10)² + (z² − 8z − 36) = 0\)

\(We are comparing it with the standard equation of a sphere given by(x - a)² + (y - b)² + (z - c)² = r², we get, Center = (-9, 10, 4) and Radius = 6\)

\(Section 10.1: Problem 10 Write down an (in)equality that describes a solid sphere in R³ of radius 2.\)

\(Let's first write the equation for a sphere of radius 2 in R³: (x − a)² + (y − b)² + (z − c)² = r² where (a, b, c) is the center and r is the radius of the sphere.\)

\(Substituting values in the above equation, we get: (x - 0)² + (y - 0)² + (z - 0)² = 2²\)

Simplifying it, we get the equation of the sphere of radius 2 in R³:x² + y² + z² ≤ 4

\(This equation is the inequality that describes a solid sphere in R³ of radius 2.\)

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The inequality x + y + z > 0 represents the solution set of the given system of inequalities.

Answer: x + y + z > 0

The given equation of the sphere is

x² + 18x + y² - 20y + z² − 8z = -97

Now, we will rewrite the given equation in the form of

(x - a)² + (y - b)² + (z - c)² = r²

which represents the sphere of radius r and center (a, b, c).

To get the equation in the above form, we will have to complete the square for x, y, and z separately.

Now, completing the square for x: x² + 18x = (x + 9)² - 81

Completing the square for y: y² - 20y = (y - 10)² - 100

Completing the square for z: z² - 8z = (z - 4)² - 16

Now, replacing x² + 18x and y² - 20y and z² - 8z with their respective completed square forms in the given equation

we get: (x + 9)² + (y - 10)² + (z - 4)² = 144

The center of the sphere is (-9, 10, 4) and the radius of the sphere is √144 = 12.

Hence, the required center and radius of the sphere are (–9, 10, 4) and 12 respectively.

Answer:

Center: (–9, 10, 4)

Radius: 12Solution of Problem 10:

An inequality which represents the solution set of the system of inequalities x + y + z > 5 and x > 0 and y > 0 and z > 0 isx + y + z - (0 + 0 + 0) > 5 x > 0y > 0z > 0

Adding up the above three inequalities

we get: x + y + z > 0 + 0 + 0x + y + z > 0

The inequality x + y + z > 0 represents the solution set of the given system of inequalities.

Answer: x + y + z > 0

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The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.

To solve the inequality y + 7 ≤ -1, we need to isolate the variable y on one side of the inequality sign.

Starting with the given inequality:

y + 7 ≤ -1

We can begin by subtracting 7 from both sides of the inequality:

y + 7 - 7 ≤ -1 - 7

y ≤ -8

The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.

In the context of a number line, all values to the left of -8, including -8 itself, will make the inequality true. For example, -10, -9, -8, -8.5, and any other value less than -8 will satisfy the inequality. However, any value greater than -8 will not satisfy the inequality.

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The following question may be like this:

What is a solution of the inequality shown below? y+7≤-1

Answer: 1.5

Step-by-step explanation: 12/8=1.5

Answer:

One pound of peanuts costs 1 dollar and 50 cents.
Ten pound of peanuts costs 15 dollars.

Step-by-step explanation:

1. If 8 pounds of peanuts cost $12 how much does 1 pound of peanuts cost?
One pound of peanuts costs 8 times less:

$12 : 8 = $1.5 = 1 dollar and 50 cents

2. Use the answer to find how much 10 pounds cost:
Ten pounds of peanuts will cost 10 times more than one pound:

$1.5 x 10 = $15

That is, limₙ→∞ enⁿ⁶ = ∞. Hence, the limit does not exist, and the sequence diverges.

Given: Sequence aₙ = enⁿ⁶. To determine whether the sequence converges or diverges, we need to consider the value of e and the exponent n. Here, e is a positive constant and n is the index of the sequence. Hence, let us examine the behavior of the sequence by taking a few terms: when n = 1, a₁ = e;when n = 2, a₂ = e²;when n = 3, a₃ = e³;and so on. By observing the first few terms, we can notice that the sequence is increasing rapidly.

Hence, the terms of the sequence diverge to infinity. Therefore, the given sequence is divergent. Hence, the answer is Diverges. We could have also used the limit test to confirm this.

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Answer: 7

Step-by-step explanation:

First, do 221 divided by 13 to get how many dollars per hour which is 17 and then do 119 divided by 17 to get the amount of hours.

Step-by-step explanation:

start at 7 on the number line. move to the left (because the value is negative) 2 jumps. you will land on 5.

Answer: 5

Step-by-step explanation:

Usually you would just do 7+-2 which is also 7-2 which equals 5 but since it's a number line you do this

You would locate 7 on the number line and do the same for -2

Once done, you would take the distance 2 is from 0 and push 7 there(basically moving it to 5) and that would be how you would use a number line to find the sum of 7 + -2

Now if the 2 was positive, this would be different and you would add the distance making it 9 but since it's negative you push it towards 0 which makes it 5

I hope this helps!

Answer:

\(k = (-162)\).

Step-by-step explanation:

A point of the form \((x_{0},\, y_{0})\) belongs to the graph of this function, \(y = k / x\), if and only if the equation of this function holds after substituting in \(x = x_{0}\) and \(y = y_{0}\).

The question states that the point \((-9,\, 18)\) belongs to the graph of this function. Thus, the equation of this function, \(y = k / x\), should hold after substituting in \(x = (-9)\) and \(y = 18\):

\(y = k / x\).

\(18 = k / (-9)\).

Solve this equation for the constant \(k\):

\(\begin{aligned}k &= 18 \times (-9) \\ &= (-162)\end{aligned}\).

Thus, \(k = (-162)\).

The statement "If a set of vectors {v₁, v₂, ...., vp} in Rⁿ is linearly dependent, then p>n" is False.

Let {v₁, v₂, ...., vp} be a set of p vectors in Rⁿ, then the following are equivalent statements:

1. The set of vectors is linearly dependent.

2. There exist constants c₁, c₂, ... cp, not all of them zero, such that:

c₁v₁+c₂v₂+...+cpvp = 0 (zero vector)

For the above to be possible, the following must hold true: p≥n

Because in Rⁿ, each vector has n components.

So, the total number of unknowns is p, while the total number of equations that we have is n.

Hence p≥n for the system of linear equations above to have a non-zero solution.

Hence, the statement "If a set of vectors {v₁, v₂, ...., vp} in Rⁿ is linearly dependent, then p>n" is False.

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The correct answer is option a). The parameter of interest is the mean mpg of the 10 cars.

This parameter is important because it is the average mpg of the sample that is being used to measure the fuel efficiency of the car model. This parameter is important because it provides an indication of how efficient the car model is. By measuring the mpg of a sample of 10 cars, the researchers can get an indication of how the entire population of cars of this particular model perform.

The mean mpg of all cars of this particular model is the population parameter and is the overall average mpg of all cars of this particular model. The mpg measurements of this car model is the individual measurements for each car in the sample, which are used to calculate the mean mpg of the 10 cars.

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The scalar product of two parallel unit vectors, is equals to one i.e., i.e., = 1 , = 1 and = 1 .

Scalar Product: The scalar product is also known as dot product. The scalar product of two vectors can be constructed by taking the component of one vector in the direction of the other vector and multiplying it by magnitude of other vector. That gives scalar as a result. Scalar don't have a direction associated with them. The scalar product of vector A and vector B is equal to |A| |B|Cosθ , where |A|, |B| represent magnitude of vector A and vector B and θ angle between the two vectors direction.

We have to determine the scalar product of , and Here and are the unit vectors in the direction along the x-axis. So, they are parallel to each other, that's why θ = 0° and = 1 . Therefore, = (1) (1) cos 0° = 1. Similarly, = 1 ( unit vectors in direction along the y-axis) and = 1 ( along z-axis). Hence, the dot product of the two unit vectors and is equal to one for each

There are 4,608 different ways that the class can elect a president, vice president, and secretary.

To find the number of different ways that a class of 18 students can elect a president, vice president, and secretary, we will use the formula for permutations, which is given by -

nPk = n! / (n - k)!

where n is the total number of items and k is the number of items to be selected in a specific order.

In this case, we are given n = 18 students and k = 3 positions.

Thus, the number of different ways to elect a president, vice president, and secretary will be -

18P3 = 18! / (18 - 3)! = 18! / 15! = 18 x 17 x 16 = 4,608

Therefore, there are 4,608 different ways that the class can elect a president, vice president, and secretary.

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Answer:

3

Step-by-step explanation:

Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.

The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.

Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8

= -13.8% / x Thus, we have: x

= -13.8% / 3.8

= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage

= 13.8 / 3.8

= 3.63% The percentage decrease in sales is 3.63%.

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a) To obtain the potential pressure drop in the wellbore, we can use the hydrostatic pressure equation.

The potential pressure drop is equal to the pressure gradient multiplied by the length of the wellbore. The pressure gradient can be calculated using the equation: Pressure gradient = (density of oil × acceleration due to gravity) × sin(θ), where θ is the deviation angle of the wellbore from horizontal flow. In this case, the pressure gradient would be (48 lbm/ft^3 × 32.2 ft/s^2) × sin(15°). Multiplying the pressure gradient by the wellbore length of 6,000 ft gives the potential pressure drop.

b) To determine the frictional pressure drop in the wellbore, we can use the Darcy-Weisbach equation. The Darcy-Weisbach equation states that the pressure drop is equal to the friction factor multiplied by the pipe length, density, squared velocity, and divided by the pipe diameter. However, to calculate the friction factor, we need the Reynolds number. The Reynolds number can be calculated as (density × velocity × diameter) divided by the oil viscosity. Once the Reynolds number is known, the friction factor can be determined. Finally, using the friction factor, we can calculate the frictional pressure drop.

c) To calculate the in-situ oil velocity, we need to consider the total volume of the pipe, including both oil and gas. The total pipe volume is calculated as the pipe cross-sectional area multiplied by the wellbore length. Subtracting the gas volume from the total volume gives the oil volume. Dividing the oil volume by the total time taken by the oil to flow through the pipe (converted to seconds) gives the average oil velocity.

d) The flow regime of the two-phase flow can be determined based on the oil and gas mixture properties and flow conditions. Common flow regimes include bubble flow, slug flow, annular flow, and mist flow. These regimes are characterized by different distribution and interaction of the oil and gas phases. To determine the specific flow regime, various parameters such as gas and liquid velocities, mixture density, viscosity, and surface tension need to be considered. Additional information would be required to accurately determine the flow regime in this scenario.

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Taking the statement provided into consideration, if t is a linear transformation of R² into itself and the effect of t is known, then the effect of t on any vector can be computed. Therefore, the statement is true.

Consider the case where t is a parallelogram to line segment linear transformation of R² into R². If "t is a linear transformation of R² into itself and I know what t transformed" then I can calculate the impact of t on any vector, then the statement is true.

What is a linear transformation? The following characteristics must be met for a linear transformation, which is a transformation between two vector spaces:

The sum of v1 and v2 for each vector v1 and v2 in the vector space is equivalent to the transformation of the sum of v1 and v2.

The transformation of kv is equal to k times the transformation of v, in the vector space for every scalar k and vector v.

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True. In a binomial distribution, the random variable X is discrete

Binomial distribution is calculated by multiplying the probability of success raised to the power of the number of successes and the probability of failure raised to the power of the difference between the number of successes and the number of trials.

. A discrete random variable can only take on specific, distinct values, and in the case of a binomial distribution, the variable represents the number of successes in a fixed number of independent Bernoulli trials. It can only take on whole number values, such as 0, 1, 2, and so on. Therefore, X in a binomial distribution is a discrete random variable.

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Answer:

y=15

Step-by-step explanation:

Answer:

Y=15

Step-by-step explanation:

4-1=3

18-3=15

15+3=18

So, 15+4-1=18

The -value of the test is 1.90. This indicates that the mean processing time is significantly greater than 5.5 hours, supporting the manufacturer's desire to set a standard time required by employees to complete a certain process

The t-value will be equal to 1.39 for the given statistics.

To test if the mean processing time exceeds 5.5 hours, we can use a one-sample t-test.

The null hypothesis is that the mean processing time is less than or equal to 5.5 hours:

H0: µ ≤ 5.5

The alternative hypothesis is that the mean processing time is greater than 5.5 hours:

Ha: µ > 5.5

We will use a significance level of 0.05.

The formula for the t-test statistic is:

t = (X - µ) / (s / √n)

Where:

X = sample mean

µ = hypothesized population mean

s = sample standard deviation

n = sample size

Substituting the given values, we get:

t = (6 - 5.5) / (2 / √21) = 1.386

The degree of freedom for the t-test is n-1 = 20.

Using a t-table or calculator, the p-value associated with a t-value of 1.386 and 20 degrees of freedom is 0.093.

Since the p-value (0.093) is greater than the significance level (0.05), we fail to reject the null hypothesis. Therefore, there is not enough evidence to suggest that the mean processing time exceeds 5.5 hours.

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Answer:

f

(

x

)

=

3

x

−

4

becomes:

f

(

−

1

)

=

(

3

×

−

1

)

−

4

f

(

−

1

)

=

−

3

−

4

f

(

−

1

)

=

−

7

Step-by-step explanation:

a) The order of execution for the expression is: parentheses, multiplication, addition, division.

b) The order of execution for the conditional statement is: exponentiation, multiplication, comparison.

a) For the expression −X∗(Y+2)/Z:

The parentheses (Y+2) are evaluated first.

Then, the negation -X is applied.

Next, the multiplication -X*(Y+2) is performed.

Finally, the division (-X*(Y+2))/Z is executed.

b) For the conditional statement If Sum ∧ 2<= Sum* ∗ 6 then:

The exponentiation Sum ∧ 2 is computed first.

Then, the multiplication Sum* ∗ 6 is performed.

Finally, the comparison 2<= Sum* ∗ 6 is evaluated to determine the truth value of the condition.

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Answer:144

Step-by-step explanation:

Answer:

Step-by-step explanation:

10/x

last choice

Answer:

its d because who askes that question

Answer:

They would need 24 pints of chocolate to make 6 boxes of candy