2x-5y=20
What is y and what is x

This is the simplified form of the given complex fraction: (6 - 6/x) / x

To simplify the given complex fraction, let's break it down step by step.

The complex fraction is:
(3 - 3/x) / (1/2 - 1/x)

Step 1: Simplify the numerator (top) of the fraction.
To do this, let's find a common denominator for the numerator:
(3x - 3) / x

Step 2: Simplify the denominator (bottom) of the fraction.
To find a common denominator for the denominator, let's first simplify it:
(1/2 - 1/x)

To find a common denominator, multiply the second term (1/x) by (2/2):
(1/2 - 1/x) * (2/2) = (2/2x - 2/x)

Now, we have a common denominator for the denominator:
(2 - 2/x)

Step 3: Rewrite the original complex fraction with the simplified numerator and denominator:
(3x - 3) / x / (2 - 2/x)

Step 4: Simplify the division by multiplying the numerator by the reciprocal of the denominator:
(3x - 3) / x * (2/x - 2)

Step 5: Distribute and simplify the expression:
(3x - 3) * (2/x - 2) / x

Using the distributive property, we get:
(6x/x - 6/x) / x

Simplifying further, we have:
(6 - 6/x) / x

This is the simplified form of the given complex fraction.

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Sin theta = -5/sqrt(26) Is the correct option , To find the six trigonometric functions of theta, we need to first find the values of x and y on the terminal side of theta. From the given equation, 5x + y = 0 and x ≥ 0, we can solve for y in terms of x:

y = -5x

Since x ≥ 0, we know that (x, y) lies in the fourth quadrant. We can now use the Pythagorean theorem to find the length of the hypotenuse:

r =\(sqrt(x^2 + y^2) = sqrt(x^2 + (-5x)^2) = sqrt(26x^2)\)

Now we can find the six trigonometric functions:

sin(theta) = y/r = \(-5x/sqrt(26x^2) = -5/sqrt(26)\)

cos(theta) = x/r =\(x/sqrt(26x^2) = 1/sqrt(26)\)

tan(theta) = y/x = -5x/x = -5

csc(theta) = r/y = \(sqrt(26x^2)/(-5x) = -sqrt(26)/5\)

sec(theta) = r/x = sqrt(26x^2)/x = sqrt(26)/1 = sqrt(26)

cot(theta) = 1/tan(theta) = -1/5

Therefore, the exact values of the six trigonometric functions of theta are:

sin(theta) = -5/sqrt(26)

cos(theta) = 1/sqrt(26)

tan(theta) = -5

csc(theta) = -sqrt(26)/5

sec(theta) = sqrt(26)

cot(theta) = -1/5

Answer: A. sin theta = -5/sqrt(26)

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Answer:

vertical because adjacent means right next to each other and x=49

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Its A the other ones don't make sense

Answer: a

Step-by-step explanation

The correct option is C′(−10.5, 3.5) i.e. the vertex of point C′ is (-10.5, 3.5).

What is dilation?

In mathematics, dilation is a type of transformation that changes the size of a geometric object, but not its shape or orientation. Dilation is similar to scaling, but it involves a fixed point called the center of dilation, and a scale factor that determines the degree of expansion or contraction.

To determine the vertex of point C′, we need to apply the dilation transformation to the coordinates of the original vertex C(-3,1) using a scale factor of 3.5.

The coordinates of C′ can be found by multiplying the coordinates of C by the scale factor:

C′ = (3.5)C = (3.5)(-3,1) = (-10.5,3.5)

Therefore, the vertex of point C′ is (-10.5, 3.5).

Thus, the correct option is C′(−10.5, 3.5).

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From the information given, it is correct to state that M = - 3; while c = 26. This problem relates to a Rhombus. See the definition of a Rhombus below.

A Rhombus is a 2-dimensional quadrilateral whose sides have equal length.

It is given that ABCD is a Rhombus. This means that

Hence, the slope of AC = -3.

This is arrived at as follows:

Given that the diagonals of Rhombus' are perpendicular, hence

I/3 x m = -1 ⇒ -3

⇒ Line y-11 = -3 (x-5)

⇒ Line AC thus ⇒ y = -3x + 26

Recall that the coordinates are (5, 11). Thus let y = -3x + b

Hence, -3 x 5 + b = 11
b = 11 + 15

b = 26.

Therefore the equation is given as:

y = -3X + 26 were:

m = -3; and

c = 26

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Answer:

The answer is letter D, 12.52

Answer:

  (a) 4035 km

  (b) 10 h

  (c) 35°

Step-by-step explanation:

For the purpose here, we assume the Earth is a sphere, the radius to the path of the airplane is 6400 km, and pi = 22/7. We further assume that each path is part of a circle of appropriate radius.

The distance from A to B will be the length of the latitude line between 25°E and 85°E, a change in longitude of 60°. The radius of the circular path along latitude line 53° is ...

  (6400 km)×cos(53°) ≈ 3851.616 km

The length of the path from A to B is given by ...

  s = rθ . . . . where θ is in radians

  s = (3851.616 km)(π/3) = (3851.616 km)(22/(7·3)) ≈ 4035 km

The distance from A to B is about 4035 km.

The time is the ratio of distance to speed:

  t = d/r = (4035 km)/(400 km/h) = 10 h

The time taken to reach point B is 10 hours.

Using the above relation for arc length, we can find the angle associated with an arc length of 2000 km.

  θ = s/r = (2000 km)/(6400 km) = 5/16 . . . . radians

The conversion to angle is ...

  degrees = radians × 180/π

  degrees = (5/16)(180/(22/7)) = 5·180·7/(16·22) = 17 79/88 ≈ 18

Point C is 18° closer to the equator than latitude 53°, at latitude 35°.

The latitude of C is 35°.

__

Additional comment

Using a different approximation for pi will change the AB distance by a few km.

Answer: It is D

Step-by-step explanation:

Answer:

The answer is C, y = 1/4x - 4

Step-by-step explanation:

First, we have to find the slope of the perpendicular line, and to do so you must take the slope of the given line and opposite reciprocate it.

To do so, you first reciprocate the slope by flipping the numerator and denominator which now makes -4 into -1/4.

Then we have to make it the opposite value, like making a negative into a positive or a positive into a negative. In this case you make -1/4 into a positive 1/4.

We now have the slope of the perpendicular line and can make out answer choices A and B. Which now leaves us with C and D.

The line must go through the point (4, -3). To do that we must adjust the y-intercept until it goes though that point.

We get the y-intercept of -4 and the line that has the y-intercept of -4 and the slope of 1/4 is C.

You answer is C, y = 1/4x - 4.

One of the primary goals of creating a frequency distribution for quantitative data is to properly represent the data as a whole. As a result, it is correct, as it accurately depicts the data as a whole.

Frequencies are organized into frequency distributions, which are visual displays, to make the information easier to understand. A frequency distribution can display absolute or relative frequencies, such as ratios or percentages. A frequency distribution can be represented by a graph or a frequency table. A frequency distribution can show both the exact number of observations and the proportion of observations that fall within each range. In the latter case, the distribution is referred to as a relative frequency distribution. The frequency of observation is the number of times it appears in the data. For example, the frequency of the number 9 in the following list of numbers is 5. (Because it happens five times). 1, 2, 3, 4, 6, 9, 9, 8, 5, 1, 1, 9

One of the primary goals of creating a frequency distribution for quantitative data is to properly represent the data as a whole.

As a result, it is correct, as it accurately depicts the data as a whole.

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Answer:

1/4 he

Step-by-step explanation:

Answer:

1/4 hour

Step-by-step explanation:

convert 2 km to m

1 km = 1000m

2 km = 2*1000 m

=2000 m

distance                                                            time taken

2000 m                                                                   1 hour

500 m                                                                          let be x

2000/500 = 1/x

do cross multiplication

500*1 = 2000*x

500/2000 = x

1/4 = x

The function y=tanx is not defined is B) x = 4π.

The function y = tanx is not defined for __E) x = 0__.Explanation:A trigonometric function is defined as a function that relates angles of a triangle to the ratio of its sides. The sine (sin), cosine (cos), and tangent (tan) functions are examples of trigonometric functions. y = tan x is one of the many types of trigonometric functions, where the ratio of opposite side and adjacent side is tan x. In a tan x function, it is said to be undefined when the cosine value of the given angle is zero.

Hence, we can find the undefined values in a tan x function by finding out the angles where cos x = 0. Let's solve the given question. 

We are given y = tan x function is not defined for what values of x. 

From the unit circle, we know the values of sin, cos, and tan for different angles in radians. So, cos x is zero at two angles, which are x = π/2 and x = 3π/2. Hence, tan x is undefined for these two angles as tan x = sin x/cos x. When cos x is zero, then it's impossible to divide by zero. Therefore, the function is undefined when x = π/2 and x = 3π/2. Answer: B) x = 4π.

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Answer:

\(\frac{13}{3}\)

Step-by-step explanation:

The mean of a data set is calculated as

mean = \(\frac{sum}{count}\) = \(\frac{3+5+4+3+5+6}{6}\) = \(\frac{26}{6}\) = \(\frac{13}{3}\)

Answer:

4 1/3 3+5+4+3+5+6= 26 / 6 =4.333333333...

If A has rank 6, then it has 6 linearly independent rows and its row space has dimension 6. If the rank of A is less than 6, then the dimension of the row space will be less than 6.

The row space of a matrix is the span of its row vectors. Therefore, the dimension of the row space is equal to the number of linearly independent rows of the matrix.

For a 9x6 matrix A, the largest possible dimension of the row space is 6. This is because there can be at most 6 linearly independent rows in a 9x6 matrix. If there were more than 6 linearly independent rows, then the matrix would have rank greater than 6, which is impossible since the maximum rank of a 9x6 matrix is 6.

For a 6x9 matrix A, the largest possible dimension of the row space is also 6. This is because the number of linearly independent rows cannot exceed the number of columns in the matrix.

Therefore, if A has rank 6, then it has 6 linearly independent rows and its row space has dimension 6.

However, if the rank of A is less than 6, then the dimension of the row space will be less than 6.

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Answer:

22m - 5 I believe because I combined the like terms

Answer:

=98m−5

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

First off, make the equation easier to solve by putting the non-variable numbers to the other side:

-1+0.5x+9.7=12.7

0.5x+9.7-1=12.7

0.5x+8.7=12.7

       -8.7 -8.7

0.5x+0=4.0

Then, multiply 0.5x by 2 and 4.0 by 2 getting you the answer of:

1x=8

x=8

The statement "P implies Q" is false under the following conditions: a) P is true and Q is false, and d) P is false and Q is true.

The statement "P implies Q" can be expressed as "if P, then Q." It is a conditional statement where P is the antecedent (the condition) and Q is the consequent (the result).

To determine when the statement is false, we need to identify cases where P is true but Q is false, or when P is false but Q is true.

Option a) states that both P and Q are true. In this case, the statement "P implies Q" holds true because if P is true, then Q is true.

Option b) states that both P and Q are false. In this case, the statement "P implies Q" is considered true because the antecedent (P) is false.

Option c) states that P is true and Q is false. Under this condition, the statement "P implies Q" is false because when P is true, but Q is false, the implication does not hold.

Option d) states that P is false and Q is true. In this case, the statement "P implies Q" is true because the antecedent (P) is false.

Therefore, the conditions under which the statement "P implies Q" is false are a) P is true and Q is false, and d) P is false and Q is true.

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The required z-score is -0.5 and the probability that the firm WILL have a negative EPS is 30.85%.

Firm has a loss level EBIT of $175m and an expected EBIT of $200m with a standard deviation of $50m.

Z-score = (EBIT - Expected EBIT) / Standard deviation= (175 - 200) / 50= -0.5

Probability of having a negative EPS:

To find the probability that the firm will have a negative EPS, we need to find the area to the left of Z-score. As the Z-score is negative, we will be finding the left-tail probability using the standard normal table from the link below:

The area to the left of Z-score (0.5) is 0.3085 or 30.85%.

Therefore, the probability that the firm WILL have a negative EPS is 30.85%.

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To calculate the quantity produced from fabrication and finishing hours for Stoneage Surfboards, you would need to have additional information such as the production rate or efficiency of the fabrication and finishing processes. Without specific data on the production rate, it is not possible to determine the exact quantity produced.

However, if you have the production rate, you can use the following formula:

Quantity Produced = Production Rate × Fabrication and Finishing Hours

For example, if the production rate is 5 surfboards per hour and you have 8 hours of fabrication and finishing time, the calculation would be:

Quantity Produced = 5 surfboards/hour × 8 hours = 40 surfboards

Remember to adjust the units and variables based on the specific information and units of measurement used in Stoneage Surfboards' production processes.

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Answer:

\(f(x) = (0.85)^x\)

Step-by-step explanation:

Exponential amount of decay:

The equation for an amount that decays exponentially has the following format:

\(A(x) = A(0)(1 - r)^x\)

In which r is the decay rate, as a decimal.

Decrease by 15%

This means that \(r = 0.15\). So

\(f(x) = (1 - r)^x = (1 - 0.15)^x = (0.85)^x\)

So

\(f(x) = (0.85)^x\)

The expected number of coins that are heads at the end after Jennifer has tossed 64 fair coins and those that landed on tails were tossed again is 32. the expected number of coins that are heads at the end is 48.

Here is a detailed explanation:Jennifer tosses 64 coins, and each coin has an equal chance of landing on either heads or tails. Thus, the probability that any one coin lands on heads is 0.5, and the probability that it lands on tails is also 0.5.When Jennifer tosses the 64 coins, some of them will land on tails.

Those coins will be tossed again. However, the probability of getting heads or tails for these coins is still 0.5 since the coins are fair.Therefore, the probability that a coin that has already been tossed and landed on tails to land on heads the second time is also 0.5.

The same applies to the third toss. The probability that a coin will land on heads or tails is 0.5.The total number of coins that land on tails during the first toss is given by

64*0.5 = 32.

Since these coins are tossed again, the expected number of coins that land on tails for the second toss is given by

32*0.5 = 16.

The remaining coins that landed on heads during the first toss are not affected. Thus, the expected number of coins that landed on heads during the first toss is

64 - 32 = 32.

The total number of coins that landed on heads during the first toss is given by 32.

Adding the expected number of coins that land on heads during the second toss (16),

the expected number of coins that land on heads is

32 + 16 = 48.

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Answer:

605

Step-by-step explanation:

1. 110:8

2. 110÷8=13.75

3. 13.75×44=605

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The answer is C in Edge. Just took the assigment. Hope this helps! :)

Answer:

-23

Step-by-step explanation:

\( - 5 - 6 - 2 - 10 \\ - (5 + 6 + 2 + 10) \\ - (11 + 2 + 10) \\ - (13 + 10) \)

\( = - 23\)

Answer:

32-4x

Step-by-step explanation:

28-4(x-1)

28-4x+4

28+4-4x

32-4x