What are the differences of polygons and solid figures?

Answer: 400,00 km

Step-by-step explanation: 1:50,000 = 8:x

8 * 50,000 = 400,000

So, 8km on the map is 400,000 km in real life.

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Answer:

-17/12

Step-by-step explanation:

║5/6 - 7/12║- ║5/3║

= ║10/12 - 7/12║ - ║5/3║

= ║3/12║- ║5/3║

= 3/12 - 5/3

= 3/12 - 20/12

= -17/12

The algebraic expression -19c - 4c + 9 + 16​ when simplified is -23c + 25

From the question, we have the following parameters that can be used in our computation:

-19c-4c+9+16​

Express properly

So, we have

-19c - 4c + 9 + 16​

Evaluate the like terms

This gives

-19c - 4c + 9 + 16​ = -23c + 25

Hence, the algebraic expression when simplified is -23c + 25

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Answer:

-4/5

Step-by-step explanation:

The slope of the line is m=(4-8)/(2-(-3))=-4/5

Answer:

2 units

Step-by-step explanation:

vertical distance will be the magnitude of the difference in the 'y' coordinates

| -.8 - 1.2| = 2 units

The correct answer is C) 9.9 lbs as it is above the upper boundary 6.4865, it is the outlier in this dataset.

An outlier is an observation that is much higher or lower than the other observations in a dataset.

In this case, the weights of the catfish range from 2.7 to 4.8 lbs, with one observation that is much higher at 9.9 lbs.

Therefore, 9.9 lbs is the outlier in this dataset.

To find the outlier in this dataset, we can calculate the interquartile range (IQR).

This is done by first calculating the first quartile (Q1) and third quartile (Q3).

The Q1 for this dataset =3.75

and the Q3= 4.675.

IQR= Q3 - Q1

= 0.925.

We then calculate the lower boundary as Q1 - (1.5 x IQR) = 2.3625.

The upper boundary is Q3 + (1.5 x IQR)= 6.4865.

Since 9.9 lbs is above this upper boundary, it is the outlier in this dataset.

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The interval(s) the graph is increasing is (−∞, 7) and (-6, 4).

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter. Each object in a graph is called a node.

Given:

According to the graph the increasing function will be the point where the line of the graph increasing.

First the graph is increasing from (-6) till 4.

and on the left side of the graph the increasing negative infinity to 7.

Hence, the interval of increasing graph is (−∞, 7) and (-6, 4).

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The correct result is 38

To solve this expression, let's calculate the terms that are in parentheses. That is, the operations are:

After, we'll remove the symbol - and finally - we'll

\(\large \sf (20-6+4) \times 2+2\)

\(\large \sf (14+4) \times 2+2\)

\(\large \sf 18 \times 2+2\)

\(\large \sf 36+2\)

\(\pink{\boxed{\large \sf 38}}\)

So, the answer will be 38

The solution to the given expression using PEMDAS Order of operations is: 38

The acronym for the order of operations we will use is called PEMDAS

PEMDAS is anacronym that means:

P is for parenthesis. E is for exponents. M is for multiplication. D is for division. A is for Addition. S is for subtraction

We are given the expression:

(20 - 6 + 4) × 2 + 2

Applying PEMDAS, we solve the parentheses first to get:

(18) × 2 + 2

Next is multiplication to get:

36 + 2 = 38

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Answer:

The sum of their ages is 29, which we can express as the equation:

P + (P - 11) = 29

Simplifying the equation:

2P - 11 = 29

Adding 11 to both sides:

2P = 40

Dividing both sides by 2:

P = 20

Therefore, Pete's age, represented by "P," is 20 years old.

The true statements are:

The interquartile range is 10.

The data is skewed.

A box plot is used to study the distribution and level of a set of scores

The end of the first whisker represents the minimum number and the end of the second whisker represents the maximum number.

On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile. The interquartile range is the difference between the first and third quartile.

Interquartile range = 9 - (-1) = 10

A box plot is negative skewed because the median is not at the center of the box.

An outlier would be within: (Q1 - 1.5 * IQR or Q3 + 1.5 * IQR).

- 1 - (1.5 x 10 ) = -16

9 + (1.5 x 10) = 24

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Answer:

2/3

Step-by-step explanation:

Simplify the following:

3/4 - 1/12

Put 3/4 - 1/12 over the common denominator 12. 3/4 - 1/12 = (3×3)/12 - 1/12:

(3×3)/12 - 1/12

3×3 = 9:

9/12 - 1/12

9/12 - 1/12 = (9 - 1)/12:

(9 - 1)/12

9 - 1 = 8:

8/12

The gcd of 8 and 12 is 4, so 8/12 = (4×2)/(4×3) = 4/4×2/3 = 2/3:

Answer:  2/3

Answer:

The length of ZA is 25

So the answer is A. 25

The length of segment ZA is 25.

The correct option is A. 25.

Two geometric objects are perpendicular in simple geometry if they intersect at a right angle. The perpendicular sign ⊥ can be used to visually depict the state of perpendicularity. It can be defined between two planes, two lines, or two planes and another line.

As per the information provided, it is given that,

The right angles are ∠YZA and ∠YZX.

And ΔXYZ and ΔAYZ are congruent triangles.

The length of segment XA is 50.

As per the right congruent triangles and right angles property.

∠XYA bisects the length XA in two equal parts.

ZA = XA/2 = 50/2 = 25.

Therefore, ZA = 25.

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Answer:

1711

Step-by-step explanation:

\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)

Make sure to follow order of operations!

The tuxedo was rented for 4 days.

Let's start by assigning variables to the unknowns. Let "x" be the number of additional days rented, and "d" be the total number of days rented (including the first day).

From the given information, we know that the flat fee for the rental is $150, so the cost of the additional days is the total cost minus the flat fee, which is $300 - $150 = $150. We also know that the cost for each additional day is $50. Therefore, we can set up the equation:

$150 + $50x = $300

Subtracting $150 from both sides, we get:

$50x = $150

Dividing both sides by $50, we get:

x = 3

So the tuxedo was rented for 3 additional days, making the total number of days rented:

d = 1 + 3 = 4

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Answer:

Step-by-step explanation:40

41

+

9

i

41

We can conclude that with 95 percent confidence, the sample means will fall within the interval of approximately (0.9534, 0.9566).

To determine the interval within which 95 percent of the sample means will fall, we need to calculate the margin of error using the standard deviation and the desired level of confidence.

The formula to calculate the margin of error is given by:

Margin of Error = Z * (Standard Deviation / √n)

Where:

Z is the critical value corresponding to the desired level of confidence

Standard Deviation is the standard deviation of the population

n is the sample size

Since the sample size is 41 and we want to find the interval at a 95 percent confidence level, we need to find the critical value corresponding to a 95 percent confidence level.

The critical value can be found using a standard normal distribution table or a calculator. For a 95 percent confidence level, the critical value is approximately 1.96.

Now we can calculate the margin of error:

Margin of Error = 1.96 * (0.0050 / √41)

Calculating this, we find:

Margin of Error ≈ 0.001624

To find the interval within which 95 percent of the sample means will fall, we need to subtract and add the margin of error to the true mean:

Interval = True Mean ± Margin of Error

Interval = 0.9550 ± 0.001624

Calculating this, we find:

Interval ≈ (0.9534, 0.9566)

Therefore, we can conclude that with 95 percent confidence, the sample means will fall within the interval of approximately (0.9534, 0.9566).

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The solution to the inequality 1 + 3r > 10 is r > 3.

This means that any value of r greater than 3 will satisfy the inequality.

To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.

Let's begin by subtracting 1 from both sides of the inequality:

1 + 3r - 1 > 10 - 1

This simplifies to:

3r > 9

Next, we can divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 9/3

This simplifies to:

r > 3

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Answer:

x = 4, -6

Step-by-step explanation:

x = 4, -6

Answer:

for each 1 minute of talk time, the bill goes up 5¢.

I think it has to either be

--The average rate of change is $0.05, meaning that for each minute of talk time, the monthly bil increaes by $0.05

or

--The avaerage rate of change is $0.05, meaning that for every ten minutes of talk time, the bill increases by $0.05

Answer:

Step-by-step explanation:

Average rate of change during 40 min:

This number reflects the average cost of talk for each minute

Correct answer choice C

The value of height (h)  will be 6 cm.

What is Parallelogram?

A parallelogram is a four-sided polygon in which both pairs of opposite sides are parallel and equal in length. It is a special case of a quadrilateral, which means a polygon with four sides. The opposite angles in a parallelogram are also equal in measure, and the adjacent angles are supplementary, which means they add up to 180 degrees.

Given : height (H) = 5 cm

            base (B) = 12 cm

Similarly, height (h) = 5 cm

               base (h) = 12 cm

Now, we know that area of parallelogram will be same whether we use different method.

So, area of given parallelogram  =  base × height

                                         B × H    =  b × h

                                        12 × 5    =  10 × h

                                            60     =  10 h

So,   h = 60/10 = 6 cm.

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Answer:

=76.5 cm

Step-by-step explanation:

Add up the lengths of the outsides

P= 15.6+ 13.6+13.6+17.6+16.1

P =76.5 cm

Answer:

y=\(\frac{1}{4}\)x+3

Explanation:

you have to use the formula y₂-y₁/x₁-x₂ in order to find your slope and what ever you get from that is your slope

Answer: C

Step-by-step explanation:

The column on an accounting worksheet that may not balance at the end of an accounting period is the Adjustments column.

The Adjustments column on an accounting worksheet includes all the adjusting entries that are needed to update the accounts before the financial statements are prepared. These adjustments can include accruals, deferrals, depreciation, and other adjustments that need to be made to the accounts to accurately reflect the financial position of the company.

Since the Adjustments column is used to record these adjusting entries, it is possible that this column may not balance at the end of the accounting period, as the adjustments may not perfectly offset each other. However, this is not a problem, as the purpose of the worksheet is to help prepare the financial statements, not to balance each individual column.

Therefore, the correct answer is option D, the Adjustments column.

Answer:

C. The Income Statement

Step-by-step explanation:

The Income Statement column on an accounting worksheet may not balance at the end of an accounting period.

An accounting worksheet is a tool used by accountants to help organize and summarize financial information and to prepare financial statements. The worksheet is typically a multi-column form that includes columns for the unadjusted trial balance, adjustments, adjusted trial balance, income statement, and balance sheet.

The Adjustments column is used to record adjusting entries and to update the account balances to reflect accruals, deferrals, and other accounting adjustments. The Adjusted Trial Balance column is the result of the adjustments made in the Adjustments column and should include all the account balances that will be used to prepare the financial statements.

Answer:

Step-by-step explanation:

The perimeter of a rectangle is expressed as 2(L+B) where;

L is the length and B is the breadth of the triangle.

P = 2(L+B)

68 = 2(L+B)

L+B = 68/2

L+B = 34

L = 34 - B ... 1

Area of the rectangle A = LB... 2

Substituting equation 1 into 2 will give;

A = (34-B)B

A = 34B-B²

To maximize the area of the triangle, dA/dB must be equal to zero i.e

dA/dB = 0

dA/dB = 34 - 2B = 0

34-2B = 0

2B = 34

Dividing both sides of the equation by 2 we will have;

B = 34/2

B = 17

Substituting B = 17 into equation 1 to get the length L

L = 34-17

L = 17m

This shows that the rectangle with maximum area is a square since L = B = 17m

The dimension of the rectangle is Length = 17m and Breadth = 17m

The dimensions are 17m and 17m.

The perimeter of a rectangle is given as:

= 2(length + width)

Since in their case, the lengths have same values, this will be:

Perimeter = 2(l + l)

Perimeter = 4l

4l = 68

L = 68/4

L = 17m

Therefore, the dimensions are 17m and 17m.

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Answer:

Let x be the normal cost for an individual.

Given that Keith and his friends purchase the group package which costs $78 for 6 people. and that is $3 less per person. Since there are 6 people, it is $18 less.

The equation that represents this is

6x + 18 = 786x+18=78

6x = 966x=96

x = 16x=16

The normal cost for an individual is $16.

Step-by-step explanation:

hello

the question here asks if the given expressions are equivalent?

for an expression to be equivalent, the must have the same value when a particular variable is substituted into them

for example 2(x + 1) and x + 5 are equivalent variables when x = 2

now with the question presented here

4(x + 3) + 2x and 6(x + 2)

the first option said that when x = 3, the expression value = 30

let's test this

from the calculations, the expressions are equivalent when x = 3 the resultant vale equals 30

option A is equivalent

let's test for the second one

when x = 5, the value of the expression equals 42

option b is also equivalent

let's test for option c

x = 1

option c is also equivalent

x = 8

option D is also equivalent

from the options given, they are all equivalent although any of the options could prove the reason why they're equivalent, x = 1 proves it best because it easier to solve

Answer:

52

Step-by-step explanation:

RTQ is 52 because if PTR is a right angle, right angles equal 90 degrees. So if PTQ is 38 degrees, we subtract 38 from 90 to get RTQ. 90-38 equals 52.

Answer:

52 degrees

Step-by-step explanation:

right angle = 90

90-38=52

So RTQ = 52 degrees