A table cost $350 there is also a sales tax of 7% how much does the table cost including the sales tax

Jeff is approximately 517.26 feet away from the Sasquatch nest.


To find the distance between Jeff and the Sasquatch nest, we can use trigonometry. We have the angle and distance between Carl and Jeff, as well as the angles between Carl and the nest and Jeff and the nest. By creating a triangle with Carl, Jeff, and the nest as the vertices, we can use the law of cosines to determine the distance between Jeff and the nest.
Let's denote the distance between Carl and the nest as "x." Using the law of cosines, we can set up the equation:
x^2 = 540^2 + 517.26^2 - 2(540)(517.26)cos(180° - (69° + 52°))
Simplifying the equation, we get:
x^2 ≈ 540^2 + 517.26^2 - 2(540)(517.26)cos(59°)
Solving for x, we find:
x ≈ √(540^2 + 517.26^2 - 2(540)(517.26)cos(59°))
Evaluating the expression, we get:
x ≈ 517.26 feet.
Therefore, Jeff is approximately 517.26 feet away from the Sasquatch nest.

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The evaluation of the segment formed by the parallel lines using Thales Theorem also known as the triangle proportionality theorem are;

8. \(\overline {ST}\) is parallel to \(\overline{PR}\)

9. \(\overline{ST}\) is parallel to \(\overline{PR}\)

10. \(\overline{ST}\) is not parallel to \(\overline{PR}\)

11. x = 57.6

12. x = 25.8

13. x = 11

14. x = 10

15. x = 5

16. x = 17

Thales Theorem also known as the triangle proportionality theorem states that a parallel line to a side of a triangle that intersects the other two sides of the triangle, divides the two sides in the same proportion.

8. The ratio of the sides the segment \(\overline{ST}\) divides the sides QR and QP of the triangle ΔPQR into are; 7/11.2 = 10/16 = 0.625

Therefore; according to the Thales theorem, \(\overline{ST}\) ║ \(\overline{PR}\)

9. The ratio of the sides the parallel side to the base divides the other two sides are;

33/41.8 = 15/19

45/(102 - 45) = 45/57 = 15/19

Therefore, \(\overline{ST}\) and \(\overline{PR}\) bisects \(\overline{QP}\) and \(\overline{QR}\) into equal proportions and therefore, \(\overline{ST}\) ║ \(\overline{PR}\)

10. The ratio of the sides the segment \(\overline{ST}\)  bisects the other two sides are;

24/57 and 19/38

24/57 ≠ 19/38, therefore \(\overline{ST}\) ∦ \(\overline{PR}\)

Second part; To solve for x

11. x/30 = 48/25

x = (48/25) × 30 = 57.6

x = 57.6

12. x/34.4 = (49 - 28)/28

x = 34.4 × (49 - 28)/28 = 25.8

x = 25.8

13. (2·x + 6)/52.5 = 32/60

(2·x + 6) = 52.5 × (32/60)

x = (52.5 × (32/60)) - 6)/2 = 11

x = 11

14. (x - 3)/21 = (x - 1)/27

27·x - 27 × 3 = 21·x - 21

27·x - 81 = 21·x - 21

6·x = 60

x = 60 ÷ 6 = 10

x = 10

15. (35 - 20)/20 = (4·x - 2)/(7·x - 11)

15/20 = (4·x - 2)/(7·x - 11)

15 × (7·x - 11) = 20 × (4·x - 2)

105·x - 165 = 80·x - 40

105·x - 80·x = 165 - 40 = 125

25·x = 125

x = 125/25 = 5

x = 5

16. (x - 3)/35 = 4/(x - 7)

(x - 3) × (x - 7) = 35 × 4 = 140

x² - 10·x + 21 = 140

x² - 10·x - 119 = 0

(x - 17) × (x + 7) = 0

x = 17 or x = -7

Therefore, the possible value of x is 17

x = 17

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Answer: it’s one gram

Step-by-step explanation:

I just answered it

In polar coordinates, the radial distance "r" is defined as the distance from the origin to a point in the plane. Since distance cannot be negative, we only consider the positive square root of 3 in the range for this problem. So, the correct range for "r" is 0 ≤ r ≤ √3, and negative square root of 3 is not included because it doesn't represent a valid distance in polar coordinates.

To find the volume of the given solid enclosed by the hyperboloid −x2 − y2 + z2 = 6 and the plane z = 3 using polar coordinates, we need to express the equation of the hyperboloid in terms of polar coordinates.

Substituting x = rcosθ and y = rsinθ, we get:

−r2cos2θ − r2sin2θ + z2 = 6

Simplifying, we get:

z2 = 6 - r2

Since the plane z = 3 intersects the hyperboloid, we have:

3 = √(6 - r2)

Solving for r, we get:

r = √3

Hence, the range for r is 0 ≤ r ≤ √3.

In summary, the negative square root of 3 is not included in the range of r because r represents a distance and cannot be negative. The volume of the solid can be found by integrating the function f(r,θ) = √(6 - r2) over the range 0 ≤ r ≤ √3 and 0 ≤ θ ≤ 2π using polar coordinates. The result will be in cubic units and can be obtained by evaluating the integral.

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Answer:

y=4

Step-by-step explanation:

3 x 2=6

6 - 2= 4

Answer:

y = 4

Step-by-step explanation:

Equation: y = 3x - 2

Plug in x = 2

New equation: y = 3(2) - 2

Simplify: y = 6 - 2 --> y = 4

Answer: y = 4

Answer:

y / x

Step-by-step explanation:

That would produce how many feet are covered in each hour. You'd just need to plug in the numbers so to speak.

The solution of the quadratic equation x² – 16x + 59 = 0 by completing the square is x = 8 ±√5.Appropriate forms are:1. (x-8)² = 5,2. (x+8)² = 69.

Given equation: x² – 16x + 59 = 0To solve the given quadratic equation by completing the square.

1: Firstly, we write the given quadratic equation in standard form. x² – 16x + 59 = 0

⇒ x² – 16x = –59

2: Now, we have to add and subtract a constant to complete the square. The constant we add is equal to the square of half of the coefficient of x. The coefficient of x here is –16.

Half of this is –8. Therefore, we add and subtract 64 to the equation. x² – 16x + 64 – 64 + 59 = 0 ⇒ (x – 8)² – 5 = 0

3: We will now solve the above equation for x. (x – 8)² = 5⇒ x – 8 = ±√5⇒ x = 8 ±√5

Hence, the solution of the quadratic equation x² – 16x + 59 = 0 by completing the square is x = 8 ±√5. Appropriate forms are:1. (x-8)² = 5,2. (x+8)² = 69.

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Answer:

a+(n−1)d

hope this helps

Answer:

Surface Area: 5440

Step-by-step explanation:

Volume: 25600

Surface Area: 5440

Work Volume

V = lwh

V = (32)(40)(20)

V = 25600

Work Surface Area

A = 2(wh + lw + lh)

A = 2( 40(20) + 32(40) + 32(20) )

A = 2(800 + 1280 + 640)

A = 2(2720)

A = 5440

The diagonal : 54.99

The equivalence of the remainder following the division of 17 and 30 by N indicates that the largest value N can have is 30

The remainder term in a division of one value by a second value is the value which is less than the divisor, remaining after the divisor divides the dividend by a number of times indicated by the quotient.

The remainder following the division of 17 and 30 by the number N are the same.

Let R represent the remainder following the division of the integers 17 and 30 and let b represent the number of times N divides 30 than 17. Using the long division formula, we get;

17/N = Q + R/17

30/N = b·Q + R/17

30/N - 17/N = 13/N

The substitution property indicates that we get the following equation;

30/N - 17/N = b·Q + R/17 - (Q + R/17) = b·Q - Q

30/N - 17/N = b·Q - Q

13/N = b·Q - Q = (b - 1)·Q

13/N = (b - 1)·Q

The fraction 13/N which is equivalent to the product of (b - 1) and Q indicates that N is a factor of 13

13 is a prime number, therefore, the factors of 13 are 13 and N

Therefore, the possible values of N are 13 and 1

The largest value N can have is therefore, 13

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Answer:

Step-by-step explanation:

So we have : c + 2.5 < 4.3

And it's asking whether c = 1.8 is a solution.

Substitue c = 1.8 in, we get :

1.8 + 2.5 < 4.3
4.3 < 4.3 (not true)

So, c = 1.8 is NOT a solution.

Answer:

No, because c = 1.8 would be wrong and the real answer would be c < 1.8

Step-by-step explanation:

Answer:

Part A: To find the expression for the length of the rectangular space, we can use the formula for the area of a rectangle, which is length multiplied by width. We have the expression for the area as 8x² - 12x, and the expression for the width as 4x. So, we can write:

Area = Length × Width

8x² - 12x = Length × 4x

Simplifying the right side by multiplying, we get:

8x² - 12x = 4x × Length

2x² - 3x = Length

Therefore, the expression for the length of the rectangular space is 2x² - 3x.

Part B: To prove that the expression for the length from Part A is correct, we can multiply it by the expression for the width and simplify:

Length × Width = (2x² - 3x) × (4x)

= 8x³ - 12x²

= 4x(2x² - 3x)

= 4x(2x(x - 3))

This is in fact the same as the expression for the area of the rectangular space, 8x² - 12x, in standard form.

Answer:

53,150 ML

Simply add both of the numbers and you have your answer.

Answer:

-3:4 is The two rational numbers have to have in common.

In summary: Sequence 1 has no term out of increasing order. Sequence 2 has the first term out of increasing order at position 2. Sequence 3 has the first term out of increasing order at position 7. Sequence 4 has the first term out of increasing order at position 4. Sequence 5 has the first term out of increasing order at position 3.

1 5 78 99 101 202 400: This sequence is in increasing order throughout, so there is no term that breaks the increasing pattern.

5 2 7 90 85 80 72: The sequence starts with 5, then decreases to 2 (out of increasing order) at position 2.

5 6 9 10 14 21 20: The sequence is increasing until position 6, where it reaches 21. However, the next term, 20, is lower than the previous term, 21 (out of increasing order) at position 7.

3 7 10 9 8 14 17: The sequence starts with 3 and increases until position 3 (10). However, at position 4, the next term, 9, is lower than the previous term, 10 (out of increasing order).

5 77 25 45 22 94 58 99: The sequence is increasing until position 2, where it reaches 77. However, at position 3, the next term, 25, is lower than the previous term, 77 (out of increasing order).

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Answer:

the ratio is 9 ÷ 49

Step-by-step explanation:

The computation of the ratio of the number of students who walk to the total number of students is shown below:

= 45 students ÷ ( 45 + 150 + 50)

= 45  students ÷ 245 students

= 9 ÷ 49

Hence, the ratio is 9 ÷ 49

Answer:

$37,396

Step-by-step explanation:

take 2388.5x4 since there are 4 weeks = $9554

then you subtrct since the portfolio fell.

So $46,950-9554 = $37,396

Answer:

4(5b-4)

Step-by-step explanation:

(20b-16)/4

4(5b-4)

Answer:

4(5b - 4)

Step-by-step explanation:

20b - 16 ← factor out 4 from each term

= 4(5b - 4)

Therefore, A graph without labels and scales is practically meaningless, even though a data table accompanies it. As a result, the given statement is false.

False. Labels and scales are not optional if a data table accompanies the graph.  A graph is a graphical representation of data that connects a series of dots, making it simpler for humans to interpret the information. Graphs display a variety of relationships among data sets and provide an overview of the data. They make it easy to determine trends and patterns in the data, making data analysis easier. A graph is made up of various elements, such as a title, axis labels, scales, a legend, and so on. In conclusion, labels and scales are not optional if a data table accompanies the graph.

Therefore, A graph without labels and scales is practically meaningless, even though a data table accompanies it. As a result, the given statement is false.

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The square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500 square mils.

To find the square mil area for a 2 inch wide by 1/4 inch thick copper busbar, we need to multiply the width and thickness of the busbar in mils.

1 inch = 1000 mils

So, the width of the busbar in mils = 2 inches x 1000 mils/inch = 2000 mils

And, the thickness of the busbar in mils = 1/4 inch x 1000 mils/inch = 250 mils

Therefore, the square mil area of the copper busbar = width x thickness = 2000 mils x 250 mils = 500,000 square mils.

Hence, the square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500,000 square mils.

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Answer:

29 square yards

Step-by-step explanation:

see attachment for the graph

Vertices of rectangular pool are A(3,2),B(7,8),C (4,10), and D (0,4).

AB=\(\sqrt{(7-3)^{2}+(8-2)^{2}}= \sqrt{16+36}=\sqrt{52}\) yard=CD

BC= \(\sqrt{(7-4)^{2}+(8-10)^{2}}=\sqrt{9+4}=\sqrt{13}\)yard=DA

In order to find the area of rectangular pool =Length × Breadth

                                        =√52 ×√13=13×2=26 sq. yard

Vertices of triangle given are: P(5,2),Q(7,2) and R(7,5).

PQ= 2 units, QR= 3 units

Area of right triangle PQR=1/2 ×PQ×PR

                                           =1/2×2×3= 3 sq. yards

Next is to find total material needed to cover( that includes bot rectangular pool and triangular hot tub)

       = Area of rectangle + Area of right triangle

       =26+3=29 square yards

Answer:

29

Step-by-step explanation:

I just did my homework

The term that is used to describe a situation where two variables are correlated but there is no apparent connection between them is "spurious correlation."

Spurious correlation refers to a situation where two variables appear to be correlated or associated, but in reality, there is no actual causal relationship or meaningful connection between them. This can happen due to various reasons, such as coincidence, sampling errors, or confounding variables that are not accounted for in the analysis.

In other words, the observed correlation between the variables is merely coincidental or occurs by chance, and there is no true underlying relationship between them. It is important to be cautious when interpreting correlations, as spurious correlations can lead to incorrect or misleading conclusions.

Therefore, the correct term used for this phenomenon is "spurious correlation."

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Amy will choose the second restaurant to purchase pizza. Because the second one is cheaper.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given,

the first restaurant charges a delivery fee of $6 for the entire purchase and $13 per pizza.

The second restaurant has no delivery fee and charges $16 per pizza.

And Amy will choose between two restaurants to purchase pizzas for her party.

The cost of one pizza of the first restaurant:

Cost = delivery fee + price of one pizza

        = $6 + $13

         = $19

The cost of one pizza of the second restaurant:

Cost = delivery fee + price of one pizza

          = $0 + $16

         = $16

And 16< 19

The second restaurant is cheaper.

Therefore, Amy will choose the second restaurant to purchase pizza.

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Answer:

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Step 1: Define

x = 2

y = 4

16x + 2x² - y²

Step 2: Substitute and Evaluate

16(2) + 2(2)² - 4²

32 + 2(4) - 16

16 + 8

24

To calculate the z-score from a given value, mean, and standard deviation, you can use the following formula:

z = (x - μ) / σ

z-score can be calculated using the formula

z = (x - μ) / σ

where:

- z is the z-score

- x is the value you want to standardize

- μ is the mean of the data set

- σ is the standard deviation of the data set

Here are the steps to calculate the z-score:

1. Determine the value you want to standardize (x).

2. Calculate the mean (μ) and the standard deviation (σ) of the data set.

3. Subtract the mean from the value you want to standardize (x - μ).

4. Divide the result by the standard deviation (σ) to get the z-score.

The z-score measures how many standard deviations an individual data point is away from the mean. A positive z-score indicates that the value is above the mean, while a negative z-score indicates that the value is below the mean. The magnitude of the z-score represents the distance from the mean in terms of standard deviations.

By calculating the z-score, you can compare different data points and determine their relative positions within a distribution. The z-score is useful for standardizing data and identifying outliers or unusual observations.

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Answer:

when the same person sits on the same board of directors two or more companies ..

Answer:

1/3

Step-by-step explanation:

Slope m = (y2-y1)/(x2-x1)

m = (2 - 3)/(3 - 6) = (-1)/(-3) = 1/3