−64÷(−8)
solve and show how you solved

Answers

Answer 1
Same as the one I just answered where it has an even amount of negatives which means the sign will be positive so -64/-8=+8
Answer 2
Answer is 8 because two of the same kinds of number is positive

Related Questions

Hello i really need help answering this question

Answers

Step-by-step explanation:

Problem #1:

A number is divisible by 4 if the last 2 digits of that number are multiple of 4 . So for example the number 2316 is a multiple of 4 because it ends with " 16 " and " 16 " is a multiple of 4 .

Write a program that prompts the user to enter an integer and displays whether the number is a multiple of 4 or not. The program stops reading integers, when the user inputs a negative value. It shows at the end the total number of values entered which are multiple of 4 .

Sample Run:

Enter an integer: 4

4 is a multiple of 4

Enter another integer: 213

213 is not a multiple of 4

Enter an integer: 2316

2316 is a multiple of 4.

Enter an integer: -20

The total number of integers entered which are multiple of 4 is 2 .

6 more than the product of 8 and a number Z

Answers

Algebraic expression of the given statement, is 8z+6.

In the given question,

We have to write a algebraic expression of the given statement.

The given statement is "6 more than the product of 8 and a number Z".

Since we have to write the algebraic expression. So the simplest way to write the algebraic expression of any statement is to read the statement carefully. Then break the statement into small step. Then write the expression as the statement saying one by one. Then you can easily write the expression of any statement.

In the given statement it saying that 6 more than means we add the 6 in expression.

Next it says that product of 8 and a number Z. That means 8×z i.e. 8z.

Now the expression should be 8z+6.

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Right question is

"Write an algebraic statement of phrase "6 more than the product of 8 and a number Z"."

A common inhabitant of human intestines is the bacterium escherichia coli, named after the german pediatrician theodor escherich, who identified it in 1885. A cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes. The initial population of a culture is 50 cells. (a) find the relative growth rate.

Answers

A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pediatrician the odor Escherich, who identified it in 1885. A cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes. The initial population of a culture is 50 cells.

The relative growth rate is k = 3 ln 2 hr -1

To find out the relative growth rate:

Let the exponential model is

A = [tex]Pe^{kt}[/tex]

We have been given that

(a)Cell divides into two cells every 20 minutes

[tex]t = \frac{20}{60} = \frac{1}{3}hr[/tex]

A = 2P

Thus, we have

2P= Pe[tex]\frac{k}{3}[/tex]

In 2 = In(e[tex]\frac{k}{3}[/tex])

In 2 = [tex]\frac{k}{3}[/tex]

k = 3 ln 2 hr -1

Hence, the answer is k = 3 ln 2 hr -1 for the relative growth rate

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8. Use point-slope form to write the equation of a line that passes through the point (18, -3) with slope -1.

Answers

The equation of the line that passes through the point (18,-3) with slope -1 is y = -x+15.

According to the question,

We have the following information:

The line passes through the point (18,-3) with slope -1.

We know that the following formula is used to find the equation of the line passing through a point with the slope which is denoted by m:

(y-y') = m(x-x')

In this case, we have the following values:

m = -1

x' = 18 and y' = -3

Putting these values in the above formula:

y-(-3) = -1(x-18)

y+3 = -x+18

Subtracting 3 from both sides of the equation:

y = -x+18-3

y = -x+15

Hence, the equation of the line that passes through the point (18,-3) with slope -1 is y = -x+15.

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A gaming system costs $600 and is on sale for 15% off. After the discount, there is a 5% tax. What is the final price of the gaming system?

$90.00
$94.50
$510.00
$535.50

Answers

Answer:

535.50

Step-by-step explanation:

hope this helps :)

Answer:

535.50

Step-by-step explanation:

Hope this helps : )

Write the point-slope form of the equation of the horizontal line that passes through the point (2, 1).

a. Using variables, write out the formula for the point-slope form of the equation.

b. Identify the values for m, x1, and y1.

c. Fill these values into the point-slope form of the equation from part (a), and simplify as needed.

Use the box provided to submit all of your calculations and final answers. Simplify the answer as needed.

SHOW WORK!!1

Answers

Answer:

y - 1 =0 (x-2)

Step-by-step explanation:

We are given that a horizontal line which is passing through the point (2,1).

We have to find the equation in point -slope form of the line .

We know that equation of horizontal line is given by

It means y does not vary with x therefore, Slope of line= Slope of horizontal line =0

Point- slope form equation of line

We have,

Substitute the values in the given formula

Then, we get the equation of horizontal line which is passing through the point (2,1) is given by

Hence, the equation of horizontal line which is passing through the point (2,1) is given by y - 1 =0 (x-2)

Round 8.7025 into two decimal places

Answers

Answer:
8.70

Explanation:
2 would round down, leaving 8.70 as the answer

Answer: the answer is 8.70.

Step-by-step explanation:

Since were rounding to the 2 decimal places(hundredths) we can immediately drop the 5. since 2 is not greater than 5 we do not round to 8.71. So, the answer is 8.70!

What warning did the Monroe Doctrine give Europe?

A) not to import any more slaves to America

B) to stop building Indian reservations in America

C) not to get involved in America’s politics

D) to stop using the Atlantic Ocean for trade

Answers

Answer: President James Monroe's 1823 annual message to Congress contained the Monroe Doctrine, which warned European powers not to interfere in the affairs of the Western Hemisphere. Understandably, the United States has always taken a particular interest in its closest neighbors – the nations of the Western Hemisphere

Step-by-step explanation:

thats time4learning

How many positive integers are there between 100 and 999 (both included) that are divisible by 3 or 4?.

Answers

There are 450 positive integers between 100 and 999 (both included) that are divisible by 3 or 4.

According to the question,

We have the following information:

Positive integers between 100 and 999 including both these integers which are divisible by 3 or 4

Now, the number of positive integers between 100 and 999 is (999-100+1) or 900.

Now, the numbers divisible by 3 will be in multiplication of 3.

So, number which are divisible by 3:

900/3 = 300

Now, the numbers divisible by 4 will be in multiplication of 4:

So, the numbers which are divisible by 4:

900/4 = 225

Now, there are also numbers in numbers divisible by which are divisible by 3. So, they are 1/3 of the numbers divisible by 4:

225/3

75

Now, total numbers divisible by 4:

225-75

150

Now, total numbers divisible by 3 or 4:

300+150

450

Hence, there are 450 positive integers between 100 and 999 (both included) that are divisible by 3 or 4.

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There are 4 yellow, 3 blue, 5 green, 7 red and 2 orange sweets in my bag.

3.1.1 What is the probability of taking out a red sweet? Show all your steps.


3.1.2 What is the probability of taking out a green, blue or orange sweet? Show all your steps.

Answers

The probability of taking out a red sweet is; 1/3. The probability of taking out a green, blue or orange sweet is; 10/21

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

We are given that there are 4 yellow, 3 blue, 5 green, 7 red and 2 orange sweets in my bag.

The total sweets = 4+3+5+7+2 = 21

1. the probability of taking out a red sweet is;

7/21 = (7:7)/(21:7)

= 1/3

2. The probability of taking out a green, blue or orange sweet is;

= (5+3+2)/21

= 10/21

Hence, The probability of taking out a red sweet is; 1/3. The probability of taking out a green, blue or orange sweet is; 10/21

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An experimenter would like to construct a 99% confidence interval with a width at most 0. 5 for the average resistance of a segment of copper cable of a certain length. If the experimenter knows that the standard deviation of such resistances is 1. 55. How big a sample should the experimenter take from the population? what happens if the standard deviation and the width of the confidence interval are both doubled?.

Answers

A big sample that should the experimenter take from the population is 256 and if the standard deviation and the width of the confidence interval are both doubled then the sample is also 256.

In the given question,

The confidence level = 99%

Given width = 0.5

Standard deviation of resistance(σ)= 1.55

The formula to find the a big sample that should the experimenter take from the population is

Margin of error(ME) =[tex]z_{\alpha /2}\frac{\sigma}{\sqrt n}[/tex]

So n= [tex](z_{\alpha /2}\frac{\sigma}{ME})^2[/tex]

where n=sample size

We firstly find the value of ME and [tex]z_{\alpha /2}[/tex].

Firstly finding the value of ME.

ME=Width/2

ME=0.5/2

ME=0.25

Now finding the value of [tex]z_{\alpha /2}[/tex].

The given interval is 99%=99/100=0.99

The value of [tex]\alpha[/tex] =1−0.99

The value of [tex]\alpha[/tex] =0.01

Then the value of [tex]\alpha /2[/tex] = 0.01/2 = 0.005

From the standard table of z

[tex]z_{0.005}[/tex] =2.58

Now putting in the value in formula of sample size.

n = [tex](2.58\times\frac{1.55}{0.25})^2[/tex]

Simplifying

n=(3.999/0.25)^2

n=(15.996)^2

n=255.87

n≈256

Hence, the sample that the experimenter take from the population is 256.

Now we have to find the sample size if the standard deviation and the width of the confidence interval are both doubled.

The new values,

Standard deviation of resistance(σ)= 2×1.55

Standard deviation of resistance(σ)= 3.1

width = 2×0.5

width = 1

Now the value of ME.

ME=1/2

ME=0.5

The z value is remain same.

Now putting in the value in formula of sample size.

n= [tex](2.58\times\frac{3.1}{0.5})^2[/tex]

Simplifying

n=(7.998/0.5)^2

n=(15.996)^2

n=255.87

n≈256

Hence, if the standard deviation and the width of the confidence interval are both doubled then the sample size is 256.

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The following are airborne times (in minutes) for 10 randomly selected flights from San Francisco to Washington Dulles airport. 269 255 267 285 274 275 266 258 271 281
(a) Compute a 90% confidence interval for the mean airborne time for flights from San Francisco to Washington Dulles. (Round your answers to three decimal places.)
(b) Give an interpretation of the 90% confidence level associated with the interval estimate in part (a).
a) If we were to take a large number of random samples of size 10, 10% of the resulting confidence intervals would contain the true mean airborne time.
b) If we were to take a large number of random samples of size 90, 10% of the resulting confidence intervals would contain the true mean airborne time.
c)If we were to take a 10 random samples of size 10, 10% of the resulting confidence intervals would contain the true mean airborne time.
d) If we were to take a large number of random samples of size 10, 90% of the resulting confidence intervals would contain the true mean airborne time.

Answers

90% confidence interval for the mean airborne time for flights from San Francisco to Washington Dulles is (264.639, 275.5066), if 10 randomly selected flights from San Francisco to Washington Dulles airport.

Define confidence interval.

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. An area created using fixed-size samples of data from a population (sample space) that follows a particular probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability.

Given,

Airborne times (in minutes) for 10 randomly selected flights from San Francisco to Washington Dulles airport.

269 255 267 285 274 275 266 258 271 281

Sample mean = 270.10

Standard deviation = 9.326

Sample size = 10

Confidence level = 90%

Formula:

Confidence interval

= x ± tₐ₎₂(s/√n)

= 270 ± 1.833(9.326/√10)

= 270.1 ± 5.4066

= (264.639, 275.5066)

90% confidence interval for the mean airborne time for flights from San Francisco to Washington Dulles is (264.639, 275.5066), if 10 randomly selected flights from San Francisco to Washington Dulles airport.

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A 40 inch board i to be cut into three piece o that the econd piece i 3 time a long a the firt piece and the third piece i 4 time a long a the firt piece. X equal the length of the firt piece, find the length of all three piece

Answers

The length of the first piece is 5 inches  , the length of second piece is 15 inches   and the length of third piece is 20 inches  .

In the question ,

it is given that

the second piece is given to be 3 times as long as the first piece ,

and the third piece is given to be  4 times as long as the first piece .

let the length of the first piece [tex]=[/tex] x ,

So , the length of second piece [tex]=[/tex] 3x

and the length of the third piece [tex]=[/tex] 4x ,

total length of the board = 40 inch ,

So the equation becomes , x + 3x [tex]+[/tex] 4x [tex]=[/tex] 40

8x = 40

x = 40/8

x = 5

the first piece = 5 inches

second piece = 3*5 = 15 inches

third piece = 4*5 = 20 inches

Therefore , The length of the first piece is 5 inches  , the length of second piece is 15 inches   and the length of third piece is 20 inches  .

The given question is incomplete , the complete question is

A 40 inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 4 times as long as the first piece. X equal the length of the first piece, find the length of all three pieces ?

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Please heeeeelp I don’t understand

Answers

Answer:

A. y = 62x

Step-by-step explanation:

A.

y = 186/3x + b

y = 62x + b

186 = 62*3 + b

186 = 186 + b

b= 0

I'm not sure how to solve this ​

Answers

Answer: x = 4, -1

Explanation

-5/x^2-3x-4 > 9

-5 = 0

x^2 -3x -4 = 0

-5 # 0 No solution

Factor x^2 -3x -4

( x -4) ( x + 1) = 0

x-4=0 x+1=0

x = 4 x = - 1

x < -1

-1
x>4

what is the y and x intercept of 2x+y=-3

Answers

Answer:The x-intercept is

(-3/2)

The y-intercept is

(0,-3)

Step-by-step explanation:

to find the x and y intercept you have to make x and y equal zero then solve.

finding x

2x+0=-3

2x/2=-3/2

x=-3/2

finding y

2(0)+y=-3

-2        -2

y= -5

What number is 76 more than the product of 13 and 8 Number sentence?.

Answers

Answer:

180

Step-by-step explanation:

13 X 8 = 104 --> 104 + 76 = 180

The following system of equations is graphed below.
Find the solution to the system.
-2x+3y=-3
2x + 5y = 27

Answers

Answer:

(6,3)

Step-by-step explanation:

State the value of the y- intercept and hence find the equation of the straight line passing through the points A and B in each of the following cases.

Answers

I'll do the first two parts, (a) and (b), to get you started.

===========================================================

Part (a)

First we need the slope.

[tex]A = (x_1,y_1) = (-2,-4) \text{ and } B = (x_2,y_2) = (1,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - (-4)}{1 - (-2)}\\\\m = \frac{2 + 4}{1 + 2}\\\\m = \frac{6}{3}\\\\m = 2\\\\[/tex]

The slope is 2.

Then apply point-slope form to get the following

[tex]y - y_1 = m(x - x_1)\\\\y - (-4) = 2(x - (-2))\\\\y + 4 = 2(x + 2)\\\\y + 4 = 2x + 2*(2)\\\\y + 4 = 2x + 4\\\\y = 2x + 4 - 4\\\\y = 2x\\\\[/tex]

Answer:  y = 2x

slope = 2

y intercept = 0

===========================================================

Part (b)

We follow the same idea as part (a).

Find the slope first.

[tex]A = (x_1,y_1) = (-6,-2) \text{ and } B = (x_2,y_2) = (0,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - (-2)}{0 - (-6)}\\\\m = \frac{2 + 2}{0 + 6}\\\\m = \frac{4}{6}\\\\m = \frac{2}{3}\\\\[/tex]

Then apply point-slope form, and solve for y.

y - y1 = m(x - x1)

y - (-2) = (2/3)(x - (-6))

y + 2 = (2/3)(x + 6)

y + 2 = (2/3)x + (2/3)(6)

y + 2 = (2/3)x + 4

y = (2/3)x + 4 - 2

y = (2/3)x + 2   is the answer

slope = 2/3

y intercept = 2

y=−16x ^2 +240x+115 ?

Answers

Answer:

Step-by-step explanation:

$y = -16x^2 + 240x + 115$

$= -16x^2 + 240x + 120 - 5$

$= -16x^2 + 240x + 120 - 5x - 5x$

$= -16x^2 + 240x + 120 - 10x - 5x$

$= -16x^2 + 240x + 120 - 10x - 5x + x^2 - x^2$

$= -16x^2 + 240x + 120 - 10x - 5x + x^2 - x^2 + 2x - 2x$

$= -16x^2 + 240x + 120 - 10x - 5x + x^2 - x^2 + 2x - 2x + x -x$

$= -16x^2 + 240x + 120 - 10x - 5x + x^2 - x^2 + 2x - 2x + x -x + 3 - 3$

$= -16x^2 + 240x + 120 - 10x - 5x + x^2 - x^2 + 2x - 2x + x -x + 0

Which statement is true? A. A ray is a set of points that extends infinitely in both directions. B. A line consists of two endpoints and all the points between them. C. A line segment consists of two endpoints and all the points between them. D. A line has two endpoints.

Answers

The true statements are:

C. . A line segment consists of two endpoints and all the points between

D. A line has two endpoints.

What is a line segment?

A line segment is bounded by two distinct points on a line.

How to know which statement is true?

From the definition,.

Also, we know that through two points one and only one line can pass .

Therefore, A line has two endpoints.

So, option C and D are correct.

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13 points) find the area of the largest rectangle that can be inscribed in a right triangle with legs of length 3 and 4 if two sides of the rectangle lie along the legs

Answers

The area of the largest rectangle will be 3.

By using properties of similar triangles we can say that

[tex]\frac{EF}{FB} - \frac{AC}{CB}[/tex]

B / (3 - a) = 4/3

3b = 12 - 4a

4a = 12 - 3b

a = (12 - 3b) / 4

Now as we know area of a rectangle is length * width. let us find the area

A = l * w

A = b * ( (2 - 3b) / 4 )

A = 3b - 3[tex]b^{2}[/tex]/4

Now to find maximum value we will differentiate the area and put it equal to zero.

[tex]D^{1}[/tex] = 3 - 6b/4 = 0

6b/4 = 3

6b = 12

b = 2

and

a = (12 - 3b) / 4

a = 6/4

a = 3/2

So, area will be = 3/2 * 2

Therefore maximum are of the triangle will be 3.

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More points up for grabs please do this ASAP!

Answers

Answer:

x=2

y=16

Step-by-step explanation:

fill in y

2x+(6x+4)=20

8x+4=20

   -4.  -4

8x=16

/8. /8

x=2

Now fill in X to find y

y=6(2)+4

y=12+4

y=16

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In the coordinate plane, the point X(0,2) is translated to the point X(1,-3) . Under the same translation, the points Y(-2,4) and Z(4,5) are translated to Y and Z , respectively. What are the coordinates of Y and Z?

Answers

The new coordinates of Y and Z will be (-3, 9) and (3, 10), respectively.

What is a transformation of a point?

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

In the direction plane, point X(0,2) is meant the point X(1,- 3).

The rule of the transformation is written as,

(1, -3) ⇒ (0, 2)

(1, -3) ⇒ (1 - 1, -3 + 5)

(x', y') ⇒ (x - 1, y + 5)

Then the translation of the point Y(-2, 4) will be given as,

(x'', y'') ⇒ (-2 - 1, 4 + 5)

(x'', y'') ⇒ (-3, 9)

Then the translation of the point Y(4, 5) will be given as,

(x''', y''') ⇒ (4 - 1, 5 + 5)

(x''', y''') ⇒ (3, 10)

The new coordinates of Y and Z will be (-3, 9) and (3, 10), respectively.

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the distance from Huntington park to Promenade in Downey is 9 1/3 miles. if you were to walk at a steady 4 2/3 mph, how much time would be needed for the trip? Help please.!

Answers

The time that would be needed for the trip is 2 hours.

How to calculate the time?

It is important to note that the formula that can be used for calculating the time taken will be:

Time = Distance / Speed

where

Distance = 9 1/3

Speed = 4 2/3

Therefore time will be:

Time = Distance / Speed

= 9 1/3 ÷ 4 2/3

= 28/3 ÷ 14/3

= 28/3 × 3/14

= 2 hours

The time is 2 hours.

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Write your answer as an integer or as a decimal round to the nearest 10th

Answers

m∠W = 33.8° , using inverse trignometric ratio.

What do you mean by inverse trignometric functions?

The sine, cosine, tangent, cotangent, secant, and cosecant functions are the fundamental trigonometric functions. Inverse trigonometric functions are just the inverse functions of these functions. They can also be referred to as cyclometric functions, antitrigonometric functions, or arcus functions. Trigonometry's inverse functions are used to find the angle for any trigonometric ratio.

It is given that VU = 2 units and VW = 3 units and VUW is a right angle triangle , right angled at V.

Using the ratio of tanW,

As we know tanA = P/B where P is the perpendicular and B is the base

In the given triangle VUW,

tanW = VU/VW = 2/3

W = [tex]tan^{-1}[/tex](2/3) = [tex]tan^{-1}[/tex](0.67) = 33.8 degree

Therefore, m∠W = 33.8°

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Simplify the complex expression to the standard form (a+bi). 8(5-9i)+2(5+2i)

Answers

The simplest form of complex expression is (a+bi) = 50+(-68)i.

What is complex expression?

A complex number is a number that is written as a + ib, in which “a” is a real number, and “b” is an imaginary number. The complex number contains a symbol “i” which satisfies the condition i^2 = −1.

Given,

8(5-9i)+2(5+2i)

= 40 - 72i +10 +4i

=50 - 68i

or we can write it as

= 50 + (-68i)

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write an equation of the line that passes through each pair of points
(-4,3) (-5,-2)
A) y=x+7
B) y=-5x-17
C) y=-x-1
D) y=5x+23

Answers

Answer:

y = 5x + 16

Step-by-step explanation:

You need the slope and the y-intercept to write the line of the equation.

Slope change in y over change in x.  An ordered pair is in the form (x,y)  Subtract the y's on top of a fraction and subtract the x's on the bottom of a fraction.

(-4,3) (-5,-2)

[tex]\frac{-2 -3}{-5 - -4}[/tex] = [tex]\frac{-5}{-5+4}[/tex] = [tex]\frac{-5}{-1}[/tex] = 5

The slope is 5

y-intercept:

Use one of the points.  I am going to use the point (-4,3) and the slope.

Slope = 5

y value = 3

x value = -4

y=mx + b

-4 = 5(-4) + b

-4 = -20 + b  Add 20 to both sides

16 = b

y = 5x + 16

pls help

50 points pls don't guess ty

Answers

Number of steps that he needed to walk to achieve the goal is 3141 steps

The goal of the Jayden = 10000 steps

The number of steps that he walked = [tex](\frac{1}{19} )^{-3}[/tex] steps

Here we have to convert  the given number of steps to the suitable form for calculation

The number of steps that he walked

[tex](\frac{1}{19} )^{-3}[/tex] steps = [tex]19^3[/tex] steps

Find the power of the number

[tex]19^3[/tex] steps = 6859 steps

Number of steps that he needed to walk to achieve the goal = The goal of the Jayden - The number of steps that he walked

Substitute the value in the equation,

Here we have to sue the subtraction

Number of steps that he needed to walk to achieve the goal  = 10000 - 6859

= 3141 steps

Hence, number of steps that he needed to walk to achieve the goal is 3141 steps

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Drag all of the values to the box that round to 56.8 when rounded to the nearest tenth.

56.85


56.809



Drag all of the values to the box that round to 56.8 when rounded to the nearest tenth.

56.85


56.809


56.749


56.08


56.795


56.832


Drag all of the values to the box that round to 56.8 when rounded to the nearest tenth.

56.85


56.809


56.749


56.08


56.795


56.832


56.72

Numbers that round to 56.8

Answers

The numbers round to 56.8 when rounded to the nearest tenth are 56.809, 56.795, and 56.832 respectively.

What is rounding decimals?

The term "rounding decimals" describes the accurate rounding of decimal figures. To the nearest whole, tenth, or hundredth, we can round decimals.

The next place value on the right should be used to round a number to the closest tenth (the hundredths). Simply take away all the digits to the right if it's 4 or fewer. Remove all the digits to the right after adding 1 to the digit in the tenth position if the number is 5 or above.

We need to find the value that rounds to the nearest tenth which results in 56.8

Now, we check all options one by one and rounded them to the nearest tenth

56.85 = 56.9 (rounded to the nearest tenth)

56.809 = 56.8 (rounded to the nearest tenth)

56.749 = 56.7  (rounded to the nearest tenth)

56.08 = 56.1  (rounded to the nearest tenth)

56.795 = 56.8 (rounded to the nearest tenth)

56.832 = 56.8 (rounded to the nearest tenth)

56.72 = 56.7  (rounded to the nearest tenth)

Hence, the required answers are 56.809, 56.795, and 56.832.

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