Assuming the profit of one airport is regulated by a rate-of-return (ROR) based regulation, the allowed ROR is 2%. The estimated airport asset that can be used as base in 2020 is about $100 million. Then, the maximum profit the airport can collect is _____.

you multiply x by y and then multiply 5 to the power of 67 to then come to an answer of 500000000000x

Answer:

A. \(5x^4 - 37x^3 - 6x^2 + 41x - 6\)

step-by-step-explanation:

Answer:

\(5x^4- 37x^3-6x^2+ 41x-6\)

Step-by-step explanation:

simplify the following expression:  

\((5x^4 - 9x^3 + 7x - 1) + (-8x^4 +4x^2-3x + 2) - (-4x^3 + 5x - 1)(2x -7)\)

Expand \((-4x^3 + 5x - 1)(2x -7)\)

\(\implies -8x^4 +28x^3+10x^2-35x-2x+7\\\\\implies -8x^4 +28x^3+10x^2-37x+7\\\)

Therefore:

\((5x^4 - 9x^3 + 7x - 1) + (-8x^4 +4x^2- 3x + 2)-(-8x^4 +28x^3+10x^2-37x+7)\)

Group and combine like terms:

\(5x^4 -8x^4- 9x^3 +4x^2+ 7x - 3x- 1 + 2-(-8x^4 +28x^3+10x^2-37x+7)\\\\\implies -3x^4- 9x^3 +4x^2+ 4x +1-(-8x^4 +28x^3+10x^2-37x+7)\)

Apply the distributive rule:  \(-(-a+b)=a-b\)

\(\implies -3x^4- 9x^3 +4x^2+ 4x +1+8x^4-28x^3-10x^2+37x-7\)

Group and combine like terms:

\(\implies -3x^4+8x^4- 9x^3 -28x^3+4x^2-10x^2+ 4x+37x +1-7\\\\\implies 5x^4- 37x^3-6x^2+ 41x-6\)

Answer:

There's enough soil to plant 8 herbs.

Step-by-step explanation:

24 ÷ 2 7/8 = 8.3

This shows that there's enough soil to plant 8 herbs.

Answer:

36

Step-by-step explanation:

9 × 4 = 36

SAS congruence theorem should be used.

Option (B) is correct.

What is the SAS congruence theorem?

In Euclidean geometry, the SAS congruence theorem states that if two triangles have two sides of one triangle congruent (equal in length) to two sides of the other triangle, and the included angle is congruent, then the triangles are congruent. This theorem is often abbreviated as SAS, and is used in combination with other congruence theorems, such as ASA and SSS, to prove that triangles are congruent.

In the given picture, we can say both triangles has the same side of length 7 and along with it, one more side is of equal length.

and both triangles are having the right-angle,

so we can say that we can prove these triangles congruent by using SAS congruence theorem.

Hence, SAS congruence theorem should be used.

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Answer:

answer 1: It forms a linear pair with one of the interior angles of the triangle

Step-by-step explanation:

The sum of an exterior angle and its adjacent interior angle is 180 degrees.

Also, linear pair of angles are supplementary.

Answer:

1 and -1 are two rational numbers whose multiplicative inverse is same as they are.

Step-by-step explanation:

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The expression equivalent to 2m + 4(m) is 6m.

The expression 2m + 4(m) can be simplified by using the distributive property of multiplication over addition/subtraction. This property states that a(b + c) = ab + ac.

Applying this property to the expression 2m + 4(m), we get:

2m + 4(m) = 2m + 4 * m

= 2m + 4m

= (2 + 4)m

= 6m

Therefore, the expression equivalent to 2m + 4(m) is 6m.

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The case that corresponds to the assumption |x-y|=x-y is  option (a) x ≥ y. The assumption |x-y|=x-y corresponds to the case x ≥ y in the proof of the theorem.

The assumption |x-y|=x-y is valid when x is greater than or equal to y. In this case, the difference between x and y, represented as (x - y), is non-negative. Since the absolute value |x-y| represents the magnitude of this difference, it can be simplified to (x - y) without changing its value.

This assumption is important in the proof of the theorem because it allows for the direct substitution of (x - y) in place of |x-y|, simplifying the expression. It helps establish the equality between the maximum function max(x, y) and the expression (1/2)(x + y + |x-y|).

By selecting the case x ≥ y, where the assumption holds true, we can demonstrate the validity of the theorem and show how the expression simplifies to the expected result.

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Answer:

Step-by-step explanation:

It seems J is the intersection of diagonals.

We know diagonals of the parallelogram bisect each other.

It gives us:

Substitute and solve for x:

Find the value of EJ:

Find the value of EG:

Correct choice is D

Answer:

30

Step-by-step explanation:

We know that

Opposite sides of a parallelogram are equal. I am assuming J as the diagonal.

EJ = JG

=> 6x + 3 = 10x - 5

=> 6x - 10x = -5 - 3

=> -4x = -8

=> x = -8/-4

=> x = 2

Now,

EG = 2EJ

EG = 2(6 × 2 + 3)

EG = 2(12 + 5)

EG = 2(15)

EG = 30

To find the y-coordinate of point P on the unit circle, given that its x-coordinate is 5/13, we can utilize the Pythagorean identity for points on the unit circle.

The Pythagorean identity states that for any point (x, y) on the unit circle, the following equation holds true:

x^2 + y^2 = 1

Since we are given the x-coordinate as 5/13, we can substitute this value into the equation and solve for y:

(5/13)^2 + y^2 = 1

25/169 + y^2 = 1

To isolate y^2, we subtract 25/169 from both sides:

y^2 = 1 - 25/169

y^2 = 169/169 - 25/169

y^2 = 144/169

Taking the square root of both sides, we find:

y = ±sqrt(144/169)

Since we are dealing with points on the unit circle, the y-coordinate represents the sine value. Therefore, the y-coordinate of point P is:

y = ±12/13

So, the y-coordinate of point P can be either 12/13 or -12/13.

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The $1314^\text{th}$ digit past the decimal point is 2.

To find the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$, we can use long division to compute the decimal expansion of the fraction.

The long division of $\frac{5}{14}$ is as follows:

```

0.35    <-- Quotient

-----

14 | 5.00

   4.2    <-- Subtract: 5 - (14 * 0.3)

   -----

     80   <-- Bring down the 0

     70    <-- Subtract: 80 - (14 * 5)

     -----

     100   <-- Bring down the 0

      98    <-- Subtract: 100 - (14 * 7)

      -----

       20   <-- Bring down the 0

       14    <-- Subtract: 20 - (14 * 1)

       -----

        60   <-- Bring down the 0

        56    <-- Subtract: 60 - (14 * 4)

        -----

         40   <-- Bring down the 0

         28    <-- Subtract: 40 - (14 * 2)

         -----

         120   <-- Bring down the 0

         112    <-- Subtract: 120 - (14 * 8)

         -----

           80   <-- Bring down the 0

           70    <-- Subtract: 80 - (14 * 5)

           -----

           ...

```

We can see that the decimal expansion of $\frac{5}{14}$ is a repeating decimal pattern with a repeating block of digits 285714. Therefore, the $1314^\text{th}$ digit past the decimal point is the same as the $1314 \mod 6 = 0^\text{th}$ digit in the repeating block.

Since $1314 \mod 6 = 0$, the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$ is the first digit of the repeating block, which is 2.

So, the $1314^\text{th}$ digit past the decimal point is 2.

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M = A + |B| is the function's highest possible value. When sin or cos x equals 1, this maximum value is reached. m = A |B| is the function's lowest possible value. If either cos x or sin x is equal to 1, this minimum will be reached.

Example :

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Explanation:

First add up the scores: 75+70+80+80+85+90 = 480

Then divide by n = 6 because there are 6 scores. We get 480/n = 480/6 = 80 as the mean.

Answer:

the answer is c

Step-by-step explanation:

7(2+5x)=3x+14

14+35x=3x+14

35x-3x=14-14

32x=0

32x 32x X=0

Answer: 8.20

Step-by-step explanation:

1kg = 1000g

take 650 divided by 1000 = 0.65kg

Then take 5.33 divided by 0.65 = 8.20

Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

Domain:  (0, positive infinity)

Step-by-step explanation:

6x^2 / x greater than or equal to 0

6x^2 = 0

x = 0

So, the answer is ( 0, positive infinity)

Answer:

See below.

Step-by-step explanation:

(-3,1) and (-1,5)

The formula for finding slope is (y²- y¹)/(x²- x¹).

(5-1)/(-1-(-3))

(4)/(2)

2

The slope would be 2.

-hope it helps

Hi! I hope you're enjoying your day!

Use the Slope formula:

\(\bold{\displaystyle\frac{y2-y1}{x2-x1}}\)

\(\bold{\displaystyle\frac{5-1}{-1-(-3)}}\)

\(\bold{\displaystyle\frac{4}{-1+3} =\frac{4}{2} =2}\)

Hence, the slope is

\(\boxed{\boxed{\bold{2}}}\)

Hope everything is clear.

If you have any questions, please comment.

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\(\rule{250}{2}\)

Answer:

180 degrees

Step-by-step explanation:

Given

\(Time = 5:00pm\)

Required

The measure of the major arc, 30 minutes after

First, we calculate the time after 30 minutes

\(Time = 5:00pm +30\ mins\)

\(Time = 5:30pm\)

At 5:30pm, the hour and the minute hand will be directly opposite each other.

In other words, the hands divide the time into two equal parts (180 degrees each)

At this point, there is no major or minor arc as both sides have the same measurement

Hence, the measure of the arcs is 180 degrees

To find the factors of the expression 12x^2 - 4x - 1, we can use the factor theorem. The factor theorem states that if a polynomial expression evaluates to zero when a certain value is substituted for the variable, then that value is a factor of the polynomial.

To determine if a certain value is a factor of the expression, we can use synthetic division. Synthetic division involves dividing the polynomial expression by the possible factor to check if the remainder is zero. If the remainder is zero, then the value is a factor.

Let's start by checking if x = 1 is a factor of the expression:

    1 | 12 - 4 - 1
      |     12   8
      |____________
       12   8   7

Since the remainder is not zero, x = 1 is not a factor of the expression.

Next, let's check if x = -1 is a factor of the expression:

   -1 | 12 - 4 - 1
      |    -12  16
      |____________
       12 -16  15

Again, the remainder is not zero, so x = -1 is not a factor of the expression.

Now, let's check if x = 2 is a factor of the expression:

    2 | 12 - 4 - 1
      |     24 40
      |____________
       12  20 39

Once again, the remainder is not zero, so x = 2 is not a factor of the expression.

Finally, let's check if x = -2 is a factor of the expression:

   -2 | 12 - 4 - 1
      |    -24 56
      |____________
       12 -28 55

As we can see, the remainder is not zero, so x = -2 is not a factor of the expression.

After checking all the possible factors, we can conclude that none of the values tested (1, -1, 2, -2) are factors of the expression 12x^2 - 4x - 1.

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Answer: 1=95 2=85 3=95 4=85 5=36 6=49

Step-by-step explanation:

Prolific will bike 2 miles to get to the mechanic at the 6th gas station if the pattern continues.

Assuming the rate remains constant, we can use the equation d = rt, where d is the distance, r is the rate, and t is the time. In this case, we want to find the equation to determine the distance of the Nth gas station.

Let's analyze the given information:

The first gas station is 1.5 miles away.

From the second gas station onwards, each gas station is located at a distance 0.1 miles greater than the previous one.

Based on this pattern, we can write the equation for the distance of the Nth gas station as follows:

d = 1.5 + 0.1(N - 1)

B. To find the distance Prolific will bike to get to the 6th gas station, we can substitute N = 6 into the equation from part A:

d = 1.5 + 0.1(6 - 1)

= 1.5 + 0.1(5)

= 1.5 + 0.5

= 2 miles

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Answer:

your anwser is 1085

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Don't even need to complete the square, just look at what two numbers when foiling gives -16x. (x-8) (x-8)= -8x-8x= -16x. full equation is x^2-16x+64 but question didnt ask 4 that, wish it did.

Answer:

-78

Step-by-step explanation:

1) Simplify 12 + 14 to 16.

50 - 16 ÷ 2 × 16

2) Simplify 16 ÷ 2 to 8.

50 - 8 × 16

3) Simplify 8 × 16 to 128.

50 - 128

4) Simplify

-78