PLEASE HELP FAST!! i will mark brainiest

Answer:

513.881

Explanation: (Credits to jessy276)

= 5*100+3+10+8*0.1+9*0.009

= 500+3+10+8*0.1+9*0.009

= 500+3+10+0.8+9*0.009

= 500+3+10+0.8+0.081

= 503+10+0.8+0.081

= 513+0.8+0.081

= 513.8+0.081

= 513.881

Answer:

The answer is 513.881

Step-by-step explanation

The argument that the sun will rise tomorrow morning and set tomorrow evening is based on inductive reasoning, using past observations of consistent sunrise and sunset patterns to predict future occurrences.

1. The observation: Throughout your entire life, you have consistently noticed that the sun rises every morning and sets every evening. This is an observation based on personal experience.

2. Inductive reasoning: Based on this observation, you make an inference or prediction about the future. You reason that since the sun has always risen in the morning and set in the evening in the past, it is likely to continue doing so in the future.

3. Pattern and consistency: The assumption is that natural phenomena, such as the rising and setting of the sun, follow a pattern or regularity. This assumption is based on the principle of uniformity of nature, which suggests that the future will resemble the past in terms of natural occurrences.

4. The limitations of inductive reasoning: While inductive reasoning provides a useful way to make predictions based on past observations, it is not foolproof. There is always a small possibility that something unexpected could happen, such as a rare astronomical event or an external factor that alters the pattern. However, based on the available evidence and the consistency of the observed pattern, the prediction that the sun will rise tomorrow morning and set tomorrow evening is highly probable.

In summary, the argument relies on inductive reasoning, using the past consistent observation of the sun's rising and setting to predict that it will continue to do so in the future. While this reasoning is not infallible, it is a reasonable and practical way to make predictions based on observed patterns in nature.

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Answer:

x = -3

Step-by-step explanation:

3x - 21 = 2x - 24

3x = 2x - 3

x = -3

Answer:

x = 45

Step-by-step explanation:

First, we need to use the distributive property on both sides of the equation. We multiply the number outside of the parentheses by every term inside the parentheses.

3(x - 7) = 2(x - 12)

3x - 21 = 2x - 24    

From here, we solve for x.

3x - 21 = 2x - 24

x - 21 = 24                 (Subtract 2x from both sides)        

x = 45                       (Add 21 to both sides)

we are asked to prove several properties of nonzero vectors x and y in \(R^n\). We need to show that |}x} ´ }y}| ď }x y|, that x and y are orthogonal if and only if }x y} = 0, that proj_y(x) and proj_x(y) are orthogonal, and that if |}x} = |}y}|, then the diagonals of the rhombus formed by x and y are perpendicular.

(a) To show that |(x × y)| ≤ |(x - y)|, where × denotes the cross product, we can use the identity |(x × y)| = |x||y|sinθ, where θ is the angle between x and y. By the triangle inequality, we have |(x - y)| = |x + (-y)| ≤ |x| + |-y| = |x| + |y|. Hence, it suffices to prove that |x||y|sinθ ≤ |x| + |y|. Since x and y are nonzero vectors, we can divide both sides by |x||y| to obtain sinθ ≤ 1/|x| + 1/|y|. This inequality holds since sinθ ≤ 1 and 1/|x| + 1/|y| is positive.

(b) If x and y are orthogonal, then their dot product x · y = 0. Expanding the dot product, we have x · y = |x||y|cosθ = 0, where θ is the angle between x and y. Since |x| and |y| are nonzero, we must have cosθ = 0, which means θ = π/2. Conversely, if θ = π/2, then cosθ = 0 and x · y = 0, so x and y are orthogonal.

(c) The projection of vector x onto y is given by projy(x) =[ (x · y) / (y · y) ]y, where · denotes the dot product. Similarly, the projection of y onto x is given by projx(y) = (y · x) / (x · x) * x. Since dot product is commutative, we have projy(x) = projx(y).

(d) If |x| = |y|, then the vectors x and y have the same length. Considering the vectors x and y as adjacent sides of a parallelogram, the diagonals of a parallelogram bisect each other and intersect at a right angle. Hence, the diagonals of the rhombus formed by vectors x and y are perpendicular.

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It takes 5.9 minutes for the Ferris wheel to complete one revolution. It takes 5.9 minutes for the Ferris wheel to complete one revolution. “A Ferris wheel has a radius of 34 feet and completes two revolutions every 11.8 minutes.

How long does it take for the Ferris wheel to complete one revolution?”, we need to use the concept of time and angle taken by the Ferris wheel to complete one revolution.The Ferris wheel’s radius is 34 feet.

Thus, the diameter of the Ferris wheel is 2 × radius = 2 × 34 = 68 feet.Circumference of the Ferris wheel = 2 × π × r = 2 × π × 34 = 68π feetNow, we need to find out how much time it takes for the Ferris wheel to complete one revolution.

Time taken for two revolutions = 11.8 minutesThus, time taken for one revolution = (11.8/2) minutes = 5.9 minutes

So, it takes 5.9 minutes for the Ferris wheel to complete one revolution. It takes 5.9 minutes for the Ferris wheel to complete one revolution.

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The maximum fishery biomass that can be removed yearly while still sustaining the population is known as the Maximum Sustainable Yield (MSY).

The Maximum Sustainable Yield (MSY) represents the maximum amount of fishery biomass that can be harvested from a population each year while maintaining its long-term sustainability. It is a crucial concept in fisheries management, aiming to balance resource utilization with the need for population replenishment.

By setting harvest limits below the MSY level, fish stocks can regenerate, ensuring the continuation of the fishery in the future. MSY takes into account various factors such as population growth rates, reproductive potential, and ecosystem dynamics to determine a sustainable level of extraction.

Proper adherence to MSY principles helps prevent overfishing and promotes the conservation of aquatic resources.

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Looking at this figure, we can see it has 4 sides, so it is a quadrilateral.

All sides have different sizes, and there are no parallel sides.

So the only description we can use is quadrilateral.

Therefore the only option that applies is B.

The function r ( m ) $12 more than the salary of someone who has worked for m months.

What is function?

A function is a type of rule that produces one output for a single input. Source of the image: Alex Federspiel. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would say that y is a function of x.

If we have S(m) represents salary after m months i.e. y=S(m) will be the graph of salary Corresponding to the number of months m.

So, we have \(m+12 \geqslant 12$,\)

\($\Rightarrow S(m+12)$\) will give us the value of Salary after 12 months of the Job.

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Answer:

70000

Step-by-step explanation:

Answer:   M = -8/3

Step-by-step explanation:

(a) The function f(x, y) does not have a limit at (0,0). (b) No information is provided to determine the limit for f2(x, y).

(a) For the function f(x, y) = 5ry²/(3x² + y²), we can analyze the behavior as (x, y) approaches (0,0). Since the denominator 3x² + y² becomes zero as (x, y) approaches (0,0), we cannot directly evaluate the function at this point. However, by considering the parabola z = -y², we can observe that the function does not approach a specific value and thus does not have a limit at (0,0).

(b) The function f2(x, y) = Vel + Vsin(y) is not well-defined as no information or context is provided for the variables Vel, V, and U. Without this information, it is not possible to determine the limit of the function at (0,0) or any other point.

Therefore, for (a), the function f(x, y) does not have a limit at (0,0), and for (b), no information is given to determine the limit for f2(x, y).

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The indefinite integral of √(x²+1+√(x⁴+x²+1)) is 2x - tan⁻¹(x) + C,

What is integration?

Integration is the process of finding the integral of a function, which is another function that describes the area under the curve of the original function.

The integral of √(x²+1+√(x⁴+x²+1))  is a bit complicated and involves using trigonometric substitution.

Let's begin by making the substitution x = tanθ. Then, we have:

√(x²+1+√(x⁴+x²+1))  = √(tan²θ+1+√(tan⁴θ+tan²θ+1))

Simplifying this expression using trigonometric identities, we get:

√(x²+1+√(x⁴+x²+1))  

= √(sec²θ+√(sec⁴θ+sec²θ))

= √(sec²θ+sec²θ√(sec²θ+1))

= secθ√(1+sec²θ)

Now, we can substitute this expression into the integral and continue with the trigonometric substitution. We have:

∫√(x²+1+√(x⁴+x²+1)) dx = ∫secθ√(1+sec²θ)sec²θ dθ

= ∫(1+tan²θ) dθ

= ∫sec²θ dθ + ∫tan²θ dθ

= tanθ + ∫(sec²θ-1) dθ

= tanθ + tanθ - θ + C

= 2tanθ - θ + C

Substituting back x = tanθ, we get:

∫√(x²+1+√(x⁴+x²+1)) dx = 2x - tan⁻¹(x) + C

Therefore, the indefinite integral of √(x²+1+√(x⁴+x²+1)) is 2x - tan⁻¹(x) + C, where C is the constant of integration.

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The value of the third expression \(\rm \dfrac{45}{n} + 7\) for n = 5 is 16 which is equivalent to 16.

The equivalent is the functions that are in different forms but are equal to the same value.

Given

The expressions are shown below.

\(\rm 1. \ \dfrac{25}{n} + 7\\\\2. \ 30 -3n\\\\3. \ 7+ \dfrac{45}{n}\\\\4. \ n^3 - 114\)

The expression is equivalent to 16 for n = 5.

1. For n = 5, the expression will be

\(\rm \dfrac{25}{n} + 7\\\\ \dfrac{25}{5} + 7\\\\5 + 7 \\12\)

The expression is not equivalent to 16.

2. For n = 5, the expression will be

\(\rm 30 - 3n\\30 - 3 * 5 \\30 - 15\\15\)

The expression is not equivalent to 16.

3. For n = 5, the expression will be

\(\rm \dfrac{45}{n} + 7\\\\ \dfrac{45}{5} + 7\\\\9 + 7 \\16\)

The expression is equivalent to 16.

4. For n = 5, the expression will be

\(\rm n^3 - 114 \\\\5^3 - 114 \\\\125 -114\\\\11\)

The expression is not equivalent to 16.

Thus, the third expression is equivalent to the 16.

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Answer:

The answer is C, \(7+\frac{45}{n}\)

Step-by-step explanation:

1. if n=5 then the expression would be rewritten as  \(7 + \frac{45}{5}\)

2. 45 divide 5 is 9.

Answer:

g=3

Step-by-step explanation:

9 - g = 2g

+g       +g

9=3g

divide both sides by 3

g=9

The value of x in this geometric sequence is equal to √2.

In Mathematics, the nth term of a geometric sequence can be calculated by using this mathematical expression:

aₙ = a₁rⁿ⁻¹

Where:

For this exercise, we would formulate an equation from the common ratio of this geometric sequence as follows:

r = a₂/a₁ = a₃/a₁

Substituting the given parameters into the common ratio formula, we have;

1/√X + 1 = √x - 1/1

Next, we would take the square of both sides, we have:

1/x + 1 = x - 1/1

Cross-multiplying, we have:

(x + 1)(x - 1) = 1

x² - x + x - 1 = 1

x² - 1 = 1

Adding 1 to both sides, we have:

x² - 1 + 1 = 1 + 1

x² = 1 + 1

x² = 2

x = √2

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Answer:

\(\large\boxed{\tt x \approx 95.6}\)

Step-by-step explanation:

\(\textsf{We are asked to solve for x by using \underline{Trigonometric Identities}.}\)

\(\large\underline{\textsf{What are Trigonometric Identities?}}\)

\(\boxed{\begin{minipage}{20 em} \\ \underline{\textsf{\large Trigonometric Identities;}} \\ \\ \textsf{Trigonometric Identities are trigonometric ratios determined with what's given in order to find a missing value. For a Right Triangle, the Trigonometric Identities are Sine, Cosine, and Tangent. These are used to find missing sides.} \\ \\ \tt Sine = \tt $ \tt \frac{Opposite}{Hypotenuse} \\ \\ Cosine = \frac{Adjacent}{Hypotenuse} \\ \\ Tangent = \frac{Opposite}{Adjacent} \end{minipage}}\)

\(\textsf{We should determine whether Sine, Cosine, or Tangent will actually help us}\)

\(\textsf{determine x. We are given a Right Triangle that has 1 15}^{\circ} \ \textsf{angle, and a side with}\)

\(\textsf{a length of 99. Because this side is opposite of the right angle, this side is called}\)

\(\textsf{the \underline{Hypotenuse}.}\)

\(\textsf{The side labeled x is \underline{Adjacent}, which means that it's touching the given angle.}\)

\(\textsf{Using what was given to us, we should use Cosine since we are asked for the}\)

\(\textsf{Adjacent Angle when given the Hypotenuse.}\)

\(\large\underline{\textsf{Solving;}}\)

\(\textsf{Remember that;}\)

\(\tt \cos(15^{\circ}) =\frac{Adjacent}{Hypotenuse}\)

\(\textsf{We're given;}\)

\(\tt \cos(15^{\circ}) =\frac{x}{99}\)

\(\textsf{To find the value of x, we first should remove the fraction using cancellation.}\)

\(\textsf{We are able to use the \underline{Multiplication Property of Equality} to prove that the}\)

\(\textsf{equation remains equal.}\)

\(\underline{\textsf{Multiply both expressions by 99;}}\)

\(\tt 99 \cos(15^{\circ}) =\not{99} \frac{x}{\not{99}}\)

\(\tt 99 \cos(15^{\circ}) =x\)

\(\underline{\textsf{Evaluate;}}\)

\(\tt 99 \cos(15^{\circ}) \approx \boxed{\tt 95.6}\)

\(\large\boxed{\tt x \approx 95.6}\)

Answer:

Yes

Step-by-step explanation:

A Parallelogram is a flat shape with opposite sides parallel and equal in length.  NOTE: Squares, Rectangles and Rhombuses are all Parallelograms

Hope this helps (:

Answer:

54.68 miles I believe

Step-by-step explanation:

Answer:

a) T = 25n + 40

b) T = $415

Step-by-step explanation:

The total cost of 'n' kilograms of something can be expressed as 'n' multiplied by the cost, since it is a constant cost per unit. Therefore the price for n kg of potatoes can be expressed as 25n. We are also told that a dozen bananas cost $40, so our expression is the cost of potatoes added to the cost of bananas. So, is we use 'T' for total cost, our expression will look like this:

T = 25n + 40

Now we can use this expression to find the cost of 15kg of potatoes and the same amount of bananas. We can do this by simply substituting the given amount for n:

T = 25(15) + 40

T = 375 + 40

T = $415

The cost of 15kg of potatoes and one dozen bananas is $415.

Hope this helped!

Answer:

The dolphin will jump 18 times in 2hours.  

Step-by-step explanation:

Find the jumps per hour: 54/6 = 9

^This means that the dolphin jumps 9 times in an hour.

9*2 (hours) = 18

The dolphin will jump 18 times in two hours.

Therefore , the solution of the given problem of equation comes out to be equation is : y =-3/4 + 36

In arithmetic equations, the equivalent symbol (=) is used to denote equality between two propositions. It is demonstrated that using mathematical methods, which have acted as manifestations of reality, it is feasible to compare different numerical factors. The equal sign, for instance, splits the numeral 12 or even answer y + 6 = 12 into two distinct parts. It is possible to determine however many characters are already on either end of this symbol. Conflicting symbol meanings are extremely common.

Here,

This ratio represents the slope of the railing and therefore the slope of the line equation. We can write the relationship as follows:

=> y/x = -9/12

=> y/x =-3/4

=> y = -3x/4

Then the slope ,

=> m = -3/4

In general, the equation of a line is:

=> y =mx + b

.Where:

=> y =mx + b

m = slope

b = cut point with the y axis

Then, we know that the initial height of the railing is 36 inches. This means that the greatest value that the variable y can take is 36. This value must occur when the value of x (the horizontal length) is minimum (equal to 0). Therefore 36 is the cutoff point with the y axis. b = 36

equation is : y =-3/4 + 36

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answer = c

its not a or b because the range starts at y = 2

A.

Step-by-step explanation:

To find out the answer, there is a method that can be used to find out if a line is a function. It is called the vertical line method. And it also has to be per x, One y value has to be there. Analyzing the graphs, the answer should be option A.

The first response is DO_>1 mg/L, and the second response is DO_O-DO_t>2 mg/L. The other two options are incorrect because DO_1<2 mg/L is not valid, and DOL is a mistake.

BOD (Biochemical Oxygen Demand) is the total amount of oxygen required to break down organic matter in the wastewater sample. It's a water quality evaluation of the total amount of oxygen required to remove organic matter from a sample of the water under aerobic conditions (oxidizing bacteria). BOD is a critical indicator of the quality of the water in a body of water, and it can help determine whether or not a water source is polluted.

Threshold criteria for the BOD sample results to be valid are the following:

DO_O-DO_t>2 mg/LDO_>1 mg/L

Threshold criteria for the BOD sample results to be valid are as follows:

1. The difference in DO from day 1 to day 5 should be greater than 2mg/L. DO_O-DO_t>2 mg/L

2. DO should be greater than 1mg/L. DO_>1 mg/L

For a sample result to be valid, it should adhere to both the above conditions. If either of these conditions is not met, the sample result is considered invalid.

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The length of the line segment AB such that PQ is the reflection of AB will be 6 units.

A line section that can connect two places is referred to as a segment.

A line segment is just part of a big line that is straight and going unlimited in both directions.

If we reflect any curve about the x-axis then only the y coordinate changes its sign (x,y) → (x,-y).

Given PQ is a reflection of AB and P(2,-2) and Q (8,-2)

Therefore, A(2,2) and B(8,2).

The length of AB will be,

AB = √(8 - 2)² + (2-2)² = 6

Hence "The length of the line segment AB such that PQ is the reflection of AB will be 6 units".

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Answer:

27

Step-by-step explanation:

Divide 270 by 10

The income effect resulting from the change in the price of x1 is approximately 17.14. This means that, due to the price increase of x1, the consumer's purchasing power has decreased by 17.14 units.

To determine the income effect resulting from the change in the price of good x1 (from P1 to P1'), we need to calculate the difference in the consumer's purchasing power before and after the price change.

Calculate the consumer's original budget allocation:

Using the original prices P1 = 15, P2 = 30, and the original income I = 2513, we can substitute these values into the given equations for x1 and x2:

x1 = (21/7P1) = (21/7 * 15) = 45

x2 = (51/7P2) = (51/7 * 30) = 219

So, the original budget allocation is x1 = 45 and x2 = 219.

Calculate the new budget allocation:

With the new price of P1' = 65, we can substitute it into the equation for x1:

x1' = (21/7P1') = (21/7 * 65) = 195/7 ≈ 27.86

Since the price of x1 has changed, we need to recalculate the quantity of x2. However, we don't have enough information about the relationship between x1 and x2 to determine the exact new quantity of x2.

Calculate the difference in purchasing power:

To calculate the income effect, we need to compare the consumer's purchasing power before and after the price change. Since the price of x1 has increased, the consumer can afford to buy less of x1. The income effect measures the change in purchasing power as a result of the price change.

Difference in purchasing power = Original budget allocation of x1 - New budget allocation of x1

= x1 - x1'

= 45 - (195/7)

= (315 - 195)/7

= 120/7 ≈ 17.14

The income effect resulting from the change in the price of x1 is approximately 17.14. This means that, due to the price increase of x1, the consumer's purchasing power has decreased by 17.14 units.

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The point in the form (1, y, z) that is equivalent to the given points is (1, 3/5, 3/5).

To find all the points in the form (1, y, z) that are equivalent to the points (2, -1, 0) and (0, -2, 1), we can use the concept of vector equivalence.

Let's consider the vector from (1, y, z) to (2, -1, 0). This vector is (2-1, -1-y, 0-z) = (1, -1-y, -z).

Similarly, the vector from (1, y, z) to (0, -2, 1) is (0-1, -2-y, 1-z) = (-1, -2-y, 1-z).

Since these two vectors are equivalent, we can set them equal to each other:

(1, -1-y, -z) = (-1, -2-y, 1-z)

Simplifying this equation, we get:

y - z = 0

2y + 3z = 3

Therefore, all points in the form (1, y, z) that are equivalent to the given points are given by the equations:

y = z

2y + 3z = 3

Solving this system of equations, we get:

y = 3/5

z = 3/5

So the point in the form (1, y, z) that is equivalent to the given points is (1, 3/5, 3/5).

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We are given an ellipse with its foci . The, b + d = 5 / 2 + 2√19 / 5 = (25 + 4√19) / 10 = 5 / 2 + √19 / 5. Answer: b + d = 5 / 2 + √19 / 5.

Given that an ellipse has its foci at (± 5, 0) and passes through the point (7,4), its equation can be written in the form, (x - a)² / b² + (y - c)² / d² = 1, where a, b, c, and d are constants, and b and d are positive. We are to find the value of b + d. Using the given information, we can find the center of the ellipse as follows: Center of the ellipse is the midpoint of the line segment joining the foci of the ellipse. Therefore, center of the ellipse is (0, 0).Now, we can write the equation of the ellipse as follows:(x - 0)² / a² + (y - 0)² / c² = 1 ........(1). Since the ellipse passes through (7, 4), we can substitute x = 7 and y = 4 in equation (1) and get:7² / a² + 4² / c² = 1. Simplifying, we get:49 / a² + 16 / c² = 1 ........(2).

Since the distance between the foci is 10, we have:2a = 10a = 5Also, a² = 25 / 4Using this value of a in equation (2), we get:49 / (25 / 4) + 16 / c² = 1Simplifying, we get:c² = 304 / 25Now, we can write the equation of the ellipse in the required form as follows:(x - 0)² / (25 / 4) + (y - 0)² / (304 / 25) = 1Simplifying, we get:4x² / 25 + 25y² / 304 = 1Therefore, b = 5 / 2 and d = 2√19 / 5Therefore, b + d = 5 / 2 + 2√19 / 5 = (25 + 4√19) / 10 = 5 / 2 + √19 / 5Answer: b + d = 5 / 2 + √19 / 5.

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