Consider the diagram.



Lines AC and RS can best be described as

intersecting.
parallel.
perpendicular.
skew.

Answer:

11 degrees Fahrenheit

Step-by-step explanation:

-2 + 13 = 11

Answer:

11°F

Step-by-step explanation:

Answer: We can use the Pythagorean theorem to solve this problem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, we have:

a = -10

b = 24

c = ?

Using the Pythagorean theorem, we can solve for c:

c^2 = a^2 + b^2

c^2 = (-10)^2 + 24^2

c^2 = 676

c = sqrt(676)

c = 26

Therefore, the length of the missing side of the right triangle is 26 units.

The length of the missing side of the right triangle is 26.  To find the length of the missing side of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).

The formula is:

\(c² = a² + b²\)

In this problem, a = 10 and b = 24. To find the length of the missing side (the hypotenuse, c), we can plug these values into the formula:

c² = 10² + 24²
c² = 100 + 576
c² = 676

Now, we take the square root of both sides to find the length of the missing side:

c = √676
c = 26

So, the length of the missing side (the hypotenuse) of the right triangle is 26.

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The Michelson-Morley experiment was conducted in 1887 to detect the existence of the luminiferous ether, which was thought to be the medium through which light traveled.

Here is the procedure for the Michelson-Morley experiment:

1. Set up a light source, a half-silvered mirror, two mirrors, and two detectors in a square configuration.

2. Split the light beam using the half-silvered mirror so that one beam goes to one mirror and the other beam goes to the other mirror.

3. Reflect the beams back to the half-silvered mirror and combine them to produce an interference pattern.

4. Rotate the entire apparatus by 90 degrees and repeat the measurement.

5. Compare the interference patterns from the two orientations.

If there is a luminiferous ether, the speed of light should be faster in the direction of the ether flow and slower in the perpendicular direction. This should produce a difference in the interference patterns.

However, the Michelson-Morley experiment showed that there was no difference in the interference patterns, indicating that the luminiferous ether did not exist.

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Answer: 3

Step-by-step explanation:

I do not have time to explain but next time GET YOU A CALCULATOR and read.

The radius of the circle to the nearest 10th is 5.4 units.

Given that an angle measuring 2.2 radians intercepts an arc of length 11.9.

We are to find the radius of the circle to the nearest 10th.

Let us understand a few concepts before we proceed to solve the problem.

Concepts:The radian is the standard unit of angular measure.

The radian is defined as the angle formed by taking the radius of a circle and wrapping it around the circle.

The angle, so formed by the radius of the circle is equal to one radian.

Therefore, the length of an arc of a circle of radius r intercepted by a central angle of α in radians is given by the formula:

\(L = r \alpha\)                             … (1)

Here, L represents the arc length.In the given problem, we are given that an angle measuring 2.2 radians intercepts an arc of length 11.9.

Therefore, from equation (1), we have:

\(L = r \alpha\)

\(11.9 = r (2.2)\)

\(\frac{11.9}{2.2}= r\)

\(5.409 = r\)

Thus, the radius of the circle is approximately 5.4 units (to the nearest 10th).

Therefore, the radius of the circle is approximately 5.4 units (to the nearest 10th).

Hence, the required answer is 5.4 units (to the nearest 10th).

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Answer:

Rectangular pyramid volume: 120 ft³

Rectangular prism volume: 840 ft³

Total volume of the composite figure: 120+840 = 960 ft³

if you find that less than 24 number of products are made correctly, you would shut down production.

if you find that less than 24 number of products are made correctly, you would shut down production.

The company finds that 85.6% of products are made correctly. Therefore, if you take 30 products from the line and test them, you would expect at least 25.68 products to be made correctly (30 * 0.856). Since this is not a whole number, you would need to round down. Therefore, if you find that less than 24 products are made correctly, you would shut down production.

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Answer:

11/8

Step-by-step explanation:

3/4=6/8

6/8+5/8=11/8

The inverse of A is A^-1 = P^-1 * D^-1 * P, which shows that A^-1 is also diagonalizable. Therefore option B is correct.

To show that if A is both diagonalizable and invertible, then so is A^-1:

We first need to understand the given terms:

If A is diagonalizable, it means A can be expressed in the form A = PDP^-1, where P is an invertible matrix and D is a diagonal matrix (option a).

If A is invertible, it means zero is not an eigenvalue of A, so the diagonal entries in D are not zero, and D is invertible (option d).

Now, we know A = PDP^-1, and we want to find the inverse of A, which is A^-1.

To do this, we can multiply both sides of the equation by A^-1:

A^-1 * A = A^-1 * (PDP^-1)
I = A^-1 * P * D * P^-1, where I is the identity matrix.

Now, multiply both sides by P:

P^-1 * I * P = (A^-1 * P * D * P^-1) * P
P^-1 = A^-1 * P * D

Next, multiply both sides by D^-1:

D * P^-1 = A^-1 * P * D * D^-1
D * P^-1 = A^-1 * P

Finally, multiply both sides by P^-1:

D * P^-1 * P = A^-1 * P * P^-1
D = A^-1

So, A^-1 = P^-1 * D^-1 * P (option B), which shows that A^-1 is also diagonalizable.

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OLAP is used for the analysis of accumulated data, and it requires a data warehouse.

while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.

In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.

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.

Given:

The three points are (-7,134), (-3,10) and (5,50).

To find:

The equation of parabola using quadratic regression.

Solution:

The general equation of quadratic regression is

\(y=ax^2+bx+c\) ...(i)

The three points are (-7,134), (-3,10) and (5,50).

Using the graphing calculator, we get a=3, b=-1 and c=-20. Putting these values in (i), we get

\(y=3x^2+(-1)x+(-2)\)

\(y=3x^2-x-2\)

Therefore, the equation of parabola is \(y=3x^2-x-2\) and the missing values in the given equation are 3, -1 and -20.

Answer: (-13, -3), (-1, 0), and (7, 2).

Step-by-step explanation:

First, we have a function f(x) and we know that 3 points (x, y) of this function are:

(-3, -13), (0, -1), and (2, 7).

Now, if we have a function g(x) and we know that g(x) is the inverse of f(x), we have that:

g(f(x)) = x.

this means that if f(x) = y then g(y) = x.

then if (-3, -13) is a point in the f(x) graph, (-13, -3) must be a point in the g(x) graph.

Then 3 points in on the inverse of the function f(x) are:

(-13, -3), (-1, 0), and (7, 2).

To determine the equation of the tangent plane and normal line of the given curve at the point P(2, -3, 18), we need to find the partial derivatives of the function f(x, y, z) = x^2 + y^2 - 2xy - x + 3y - z - 4.

Taking the partial derivatives with respect to x, y, and z, we have:

fx = 2x - 2y - 1

fy = -2x + 2y + 3

fz = -1

Evaluating these partial derivatives at the point P(2, -3, 18), we find:

fx(2, -3, 18) = 2(2) - 2(-3) - 1 = 9

fy(2, -3, 18) = -2(2) + 2(-3) + 3 = -7

fz(2, -3, 18) = -1

The equation of the tangent plane at P is given by:

9(x - 2) - 7(y + 3) - 1(z - 18) = 0

Simplifying the equation, we get:

9x - 7y - z - 3 = 0

To find the equation of the normal line, we use the direction ratios from the coefficients of x, y, and z in the tangent plane equation. The direction ratios are (9, -7, -1).Therefore, the equation of the normal line passing through P(2, -3, 18) is:

x = 2 + 9t

y = -3 - 7t

z = 18 - t

where t is a parameter representing the distance along the normal line from the point P.

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Answer:

50 + 10s > 20 + 15s

Step-by-step explanation:

This is the answer because if James pays for 1 shirt from company C he would be paying $60, but if he were to pay for 1 shirt at company D he would be paying $35. So that's why its >. Anyway, the s goes on the second number because that's the price for every shirt, And the first number is by itself because its a one-time printing fee.

Answer:

6 hours - 5 = 2, so 15 = 6 , as its constant

The independent variable for Scenario A is given as follows:

a. The employee benefits package.

In the case of a relation, we have that the independent and dependent variables are defined by the standard presented as follows:

In the context of this problem, we have that the input and the output of the relation are given as follows:

Hence the independent variable for Scenario A is given as follows:

a. The employee benefits package.

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The required white effective interest rate is 0.71% more than his nominal interest rate.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,

White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent

So

Difference in interest = 14.33%-13.62%
                                    =0.71%

Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.

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f(x) + g(x) = x³ - 2x + 3

Step-by-step explanation:

x² - 2x + 3 + (x³ - x² + 4x)

x² - 2x + 3 + x³ - x² + 4x

x³ + x² - x² - 2x + 4x + 3

x³ + 0 - 2x + 3

x³ - 2x + 3

Answer: The temperature change of the water

The most important data that the student would have to record for the investigation that he is carrying out is temperature.

This is the term that is used to refer to the degree of hotness or the degree of coldness of a given body.

The temperature is the solution here because the factor that the student is set to find out would be how heat is able to transfer to water.

The variable that would be used to represent heat is going to be temperature. This is what would help to determine the amount of heat that has transferred.

This can be checked with the use of a thermometer. The investigation that the student is carrying out here would be what is called a research study.

Heat is one of the variables that is used in the research study. Therefore we can conclude by saying that the most important data that is going to be used in this research would be what is called temperature.

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a) The probability of Democrats winning all 16 elections is 1/65,536.

b) The probability of exactly half of the elections being won by Democrats and the other half by Republicans is  12870/65,536 .

a. The probability of Democrats winning all 16 gubernatorial elections, we need to determine the probability of a Democrat winning each individual election and then multiply those probabilities together since the events are independent.

Since each candidate is equally likely to win in each state, the probability of a Democrat winning an individual election is 1/2 (0.5).

Therefore, the probability of Democrats winning all 16 elections

= (1/2)¹⁶

= 1/2¹⁶

= 1/65,536.

b. The probability of half of the elections being won by Democrats and the other half by Republicans, we can use the concept of combinations. There are a total of 16 elections, and we want exactly 8 of them to be won by Democrats.

The number of ways to choose 8 elections out of 16 is given by the combination formula

C(16, 8) = 16! / (8! × (16-8)!)

= 12870.

Since each candidate is equally likely to win in each state, the probability of a Democrat winning an individual election is 1/2 (0.5). Similarly, the probability of a Republican winning an individual election is also 1/2 (0.5).

Therefore, the probability of exactly half of the elections being won by Democrats and the other half by Republicans

= (1/2)⁸ × (1/2)⁸ × 12870

= 1/2¹⁶ × 12870

= 12870/65,536.

So, the probability is 12870/65,536 or approximately 0.1967.

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Answer: 15

Step-by-step explanation:

Original Cost - $82

First part: Apply the 60% off discount

Convert first the 60% into decimal form

60% ÷ 100% = 0.6

Multiply it to the original cost to determine the discount

$82 ˣ 0.6 = $49.2

Subtract the discount to the original price, to determine the discounted price.

$82 - $49.2 = $32.8

Second part:

The discounted price is now $32.8 for which we will apply another 10% discount.

Again, convert 10% into decimal

10% ÷ 100% = 0.1

Multiply it to the discounted price, to determine the second discount.

$32.8 ˣ 0.1 = $3.28

Subtract the discount to the already discounted price.

$32.8 - $3.28 = $29.52

Therefore, the final sale price of the watch is at $29.52.

Answer:

2344 .

Step-by-step explanation:

n/a

Answer:

Step-by-step explanation:

You want to know how to determine the y-intercepts of a rational function, and their possible number.

A rational function f(x) is the ratio of two polynomial functions p(x) and q(x):

  f(x) = p(x)/q(x)

As such, both numerator and denominator have single function values for any value of the independent variable. The y-intercept of f(x) is ...

  f(0) = p(0)/q(0)

The values of p(0) and q(0) are simply the constant terms in those respective functions.

The simple way to find the y-intercept is to look at the ratio of the constant terms in the polynomial functions making up the rational function. If that is defined, there is one y-intercept. If it is undefined (q(0)=0), then there are no y-intercepts.

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Answer:

Hypotenuse= 180.7 cm

Step-by-step explanation:

Using Pythagoras' theorem:

a^2+b^2=c^2                     (let c= Hypotenuse "H")

(136)^2 + (119)^2 =  H^2

18496+14161 =H^2

H^2= 32657

Taking square root on both sides

\(\sqrt{H}\)= \(\sqrt{32657}\)

H=180.7

Answer:

7,500 copies

Step-by-step explanation:

First, write the problems as equations. There will be one variable: copies (c):

Company A: .05c + 300

Company B: .01c + 600

In order to find when the companies charge the same amount, Company A = Company B. Using the transitive property you get:

Company A = Company B

.05c + 300 = .01c + 600

Now, you just need to solve for c:

.05c + 300 = .01c + 600

.05c = .01c + 300

.04c = 300

c = 7,500

In conclusion, the companies will charge the same amount of money when 7,500 copies are made in a month.

Answer:

5

Step-by-step explanation:

The equation of the perpendicular bisector of BC with B(-2, 1), and C(4, 2) is y = 7.6 - 6•x

The slope, m, of the line BC is calculated as follows;

The slope of the perpendicular line to BC is -1/(1/6) = -6

The midpoint of the line BC is found as follows;

\( \left( - 2 + \frac{4 - ( - 2)}{2}, \: 1 + \frac{2 - 1}{2} \right) = (1,\: 1.5)\)

The perpendicular bisector is the perpendicular line constructed from the midpoint of BC.

The equation of the perpendicular bisector in point and slope form is therefore;

(y - 1.5) = -6•(x - 1)

y - 1.6 = -6•x + 6

y = -6•x + 6 + 1.6 = 7.6 - 6•x

Which gives;

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