Given a regular pentagon with radius 5, and each side of length 6, find the area of the pentagon. A) 120 square units B) 60 square units C) 45 square units D) 30 square units

The customer would pay $54.40 for the shoes

What is the dollar value of the initial discount of 20%?

The dollar worth of the general discount of 20% of the price of $80 is determined as 20% multiplied by the shoe price

dollar worth of initial discount=20%*$80

dollar worth of the initial discount=$16

the price after the initial discount=$80-$16

the price after the initial discount=$64

The fact the customer has a coupon to receive additional 15% off the sale price means the purchase price for the customer is as computed thus:

final sale price=$64*(1-15%)

final sale price=$54.40

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The formula that describes the sequence given i.e. [tex]\frac{-2}{3}[/tex],-4,-24,-144 (geometric sequence) is [tex](\frac{-2}{3} )(6)^{n-1}[/tex]

Geometric progression:

A geometric progression or a geometric sequence is a series, in which each word is varied by another by a common ratio. When we multiply the previous term by a constant (which is non-zero), we get the following term in the sequence. It is symbolized by:

A, AR,[tex]AR^{2}[/tex],[tex]AR^{3}[/tex]...

Where A is the first term of the geometric sequence and R is the common ratio of the geometric sequence.

The general term of geometric sequence i.e. nth term =[tex]AR^{n-1}[/tex]

Given that A= [tex]\frac{-2}{3}[/tex] and R=6

As a result the general term of geometric sequence i.e. nth term =[tex](\frac{-2}{3} )(6)^{n-1}[/tex]

Therefore,The formula that describes the geometric sequence given i.e. [tex]\frac{-2}{3}[/tex],-4,-24,-144 is [tex](\frac{-2}{3} )(6)^{n-1}[/tex]

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The  red-shaded part represents the fraction 2/7.

We are given an image of circle in the question which has 7 equal parts with two parts shaded red and the other five shaded white.

We have to find the fraction that represents the red shaded part of the circle.

A fraction defined as the part of the whole thing. For example, a pizza is divided into 6 equal pieces, then each piece is represented by 1/6.

We know that,

Fraction of red shaded part = Number of red parts/ Total number of parts

Here,

Number of red parts = 2

Total number of parts = 7

Hence,

Fraction of red shaded part = 2/7

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The frequency distribution for the given data is:

Treating the frequency distribution as a discrete distribution, we have that:

The pie chart is missing, but is given at the end of the answer.

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

A frequency distribution is composed by the relative frequencies of each outcome. From the pie chart, we have that there is a total of 3 + 13 + 22 + 17 + 14 + 13 + 4 = 86 people, hence the frequency distribution is given as follows:

This is relevant because we want to treat the frequency distribution as a discrete distribution, taking the midpoint of each interval, hence:

Hence the mean is:

E(X) = 0.0349 x 2 + 0.1512 x 7 + 0.2558 x 12 + 0.1977 x 17 + 0.1628 x 22 + 0.1512 x 27 + 0.0465 x 32 = 16.71.

The mean is of 16.71.

The standard deviation is found as follows:

S(X) = sqrt[0.0349 x (2 - 16.71)² + 0.1512 x (7 - 16.71)² + 0.2558 x (12 - 16.71)² + 0.1977 x (17 - 16.71)² + 0.1628 x (22 - 16.71)² + 0.1512 x (27 - 16.71)² + 0.0465 x (32 - 16.71)²] = 10.95.

The standard deviation is of 10.95.

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4m^2+7m

I did this before

Answer:

25.12 feet (closest answer)

Step-by-step explanation:

formula circumference = 2πr

2πr

2×3.142(π)× 4 ft

=25.1327412

≈25.13(2 d.p)

closest answer in diagram is 25.12

The expression is evaluated to give 58/ 4, fifty-eight fourths. Option C

From the information given, we have the deduction;

[tex]\frac{\sqrt{36}* 3^2 - \sqrt[3]{-64} }{2^2}[/tex]

Simply the expression;

√36 = 6

3² = 9

∛-64 = -4

2² = 4

Substitute the values into the expression

⇒ 6 × 9 - (-4)/ 4

Use the BODMAS rule, multiply first

⇒ 54 + 4/ 4

Add the numerators

⇒ 58/ 4

Thus, the expression is evaluated to give 58/ 4, fifty-eight fourths. Option C

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Answer:

58 over 4

Step-by-step explanation:

The distance between the Sturgis and Hot springs is 102 miles.

We have a mileage chart,

We have to estimate the distance between Sturgis and Hot Springs.

A chart showing distances between various points in miles is called mileage chart.

According to the question -

The horizontal row with the name Sturgis intersects the vertical column with the name Hot springs at the block representing 102 miles.

Therefore, the distance between the Sturgis and Hot springs is 102 miles.

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Answer:

-2,45

Step-by-step explanation:

the opposite of a positive number is a negative number

Harper should invest his funds in Hybrid Mutual Funds.

Therefore, Harper should invest his funds in Hybrid Mutual Funds.

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Answer:

126.6667%

Step-by-step explanation:

The solution to the given inequality is: (-∞, -7/3) ∪ (20, ∞).

To solve a compound inequality involving the op operation, we solve each inequality, then find the union of these solutions.

The first inequality for this problem is:

9g - 6 > 12g + 1

-3g > 7

3g  < -7

g < -7/3.

The second inequality for this problem is:

-2/5g + 8 < 4

-2/5g < -4

2/5g > 4

2g > 20

g > 20

Hence the solution is:

(-∞, -7/3) ∪ (20, ∞).

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Step-by-step explanation:

maybe you missed something in the problem definition or in the answer options, but the answer options do not contain any right answer to the described problem.

20 - sqrt(80) = 20 - sqrt(16×5) = 20 - 4×sqrt(5) =

= 11.05572809...

it is simple to estimate, in what dimension the result should be : 80 is very close to 81. so the sqrt(80) is also very close to the sqrt(81), which is 9.

20 - 9 = 11.

so, all the negative answer options are wrong by default.

and the only positive one is 2×sqrt(5) = 4.472135955...

additional thoughts :

20 = 4×5 or 4×sqrt(5)×sqrt(5)

so, we could write the problem as

4×sqrt(5)×sqrt(5) - 4×sqrt(5)

which could be simplified to either

4×sqrt(5)×(sqrt(5) - 1)

or

4×(5 - sqrt(5))

Answer: The answer is {y,x}={-12,-3}

Step-by-step explanation:

I mulitpuly the number on the coornate grid

A) In the event of a power loss, the possibility of both generators failing is 0.1225.

B) (i) In the case of a power outage, having a functioning generator may be anticipated 87.75% of the time.

(ii) During a power outage, it may be anticipated that both generators will malfunction roughly 12.25% of the time.

Probability: The probability of an occurrence is defined as the ratio between the number of positive outcomes to a certain event and the entire number of potential outcomes.

Complementary Events: When event A is specified, the complement of that event A does not take place.

Union of two events: The term "union of two events" refers to the collection of outcomes that are either related to both occurrences or one of the two events.

The intersection of two events: The intersection of two events refers to the group of results that are related to both occurrences.

Independent Events: If the occurrence of one event does not influence the occurrence of another event, then two occurrences A and B are said to be independent events. To put it another way, if the occurrence of event A has no bearing on the occurrence of event B, then the two occurrences A and B are independent.

A) The likelihood that both generators would malfunction during a power outage is calculated as follows:

According to the data provided, emergency backup generators malfunction 35% of the time when they are required. The probability value is 0.35 in this case.

The required probability is,

P⎝|⎛​Bothgeneratorsfailduringapoweroutage​⎠|⎞​

= ⎣⎡​P(Firstgeneratorfail) × P(Secondgeneratorfail)​⎦ |⎤​

= 0.35 × 0.35 = 0.1225

When there is a power outage, the likelihood that both generators will fail is calculated by multiplying the likelihood that the first and second generators will fail. During a power outage, the failure of both generators may be anticipated roughly 12.25% of the time.

B) (i) The likelihood of having a functional generator during a power outage is calculated as indicated below:

The required probability is,

P⎝|⎛​Workinggeneratorintheeventofapoweroutage​⎠|⎞​

= 1−P⎝|⎛​Bothgeneratorsfailduringapoweroutage​⎠|⎞​ =

1−0.1225 = 0.8775

The likelihood that a generator will operate in the case of a power loss is calculated by deducting the likelihood that both generators would malfunction from the overall likelihood. In the case of a power outage, having a functioning generator may be anticipated 87.75% of the time.

(ii) The likelihood that a patient will require hospitalization or not is determined as follows:

When there is a power outage, there is a 12.25% chance that both generators will malfunction; this means that they will malfunction roughly 10% of the time.

It is obvious that it is possible to anticipate that during a power outage, both generators will fail roughly 12.25% of the time, suggesting that this probability is low enough to not have an effect on patients' health.

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If the side-lengths of a triangle are increased by a scale factor of 4 then the area will be 16 times greater.

As given in the question,

Let 'a' be the base of the triangle

and 'h' be the height of the triangle

Area of the triangle = (1/2)×a× h

Side length increased by scale factor 4

New base = 4a

New height=4h

New area=(1/2)×4a×4h

              = 16×(1/2)×a ×h

              = 16 times the original area

Therefore, if the side-lengths of a triangle are increased by a scale factor of 4 then the area will be 16 times greater.

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Class boundaries list: 50,70,90,110,130,150,170,190,210

1. Calculate the range.

range= maximum value - minimum value= 205 - 50 =155

2. Divide the range by the number of classes.

width= [tex]\frac{155}{8}[/tex] =19.375

3. Round this number up to the nearest multiple of five.

width = 20

class boundaries: smallest class boundry= minimum value =50

difference between two class boundries= width

class boundaries list: 50,70,90,110,130,150,170,190,210

The range is the difference between the highest and lowest values within a set of numbers. To calculate range, subtract the smallest number from the largest number in the set.The statistical distributions' characteristics are described by the terms mean, median, mode, and range. The set of all potential values for terms that indicate predetermined events is known as a distribution in statistics. A term's value stated as a variable is referred to as a random variable.

The two main categories of statistical distributions are as follows. There are discrete random variables in the first category. This indicates that each phrase has a distinct, precise numerical value. A continuous random variable is present in the distribution of the second major kind. An unlimited number the  of possible values can be represented by a continuous random variable.

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Answer:

[tex]a = \frac{ \sqrt[3]{36} }{2} [/tex]

Using the monthly payment formula, the price range of houses that they should consider is:

[$513,666.78, $592,083.48].

It is given by:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

In which:

For this problem, the parameters are given as follows:

The minimum price, discounting the down payment, is found when A = 2400, hence:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

[tex]2400 = 0.00375P\frac{(1.00375)^{360}}{(1.00375)^{360} - 1}[/tex]

[tex]P = \frac{2400[(1.00375)^{360} - 1]}{0.00375 \times (1.00375)^{360}}[/tex]

P = $473,666.78.

Considering the down payment, we add $40,000, hence the minimum value of the range is: $513,666.78.

The maximum price, discounting the down payment, is found when A = 3000, hence:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

[tex]3000 = 0.00375P\frac{(1.00375)^{360}}{(1.00375)^{360} - 1}[/tex]

[tex]P = \frac{3000[(1.00375)^{360} - 1]}{0.00375 \times (1.00375)^{360}}[/tex]

P = $592,083.48.

Considering the down payment, we add $40,000, hence the maximum value of the range is: $592,083.48.

Hence the price range is:

[$513,666.78, $592,083.48].

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Answer:

x - 6 = 1/3x + 4

x = 15

Hope this helps :)

Hope this helps :)Explanation and Check part below.

Step-by-step explanation:

1. Get the variable on one side by subtracting x.

x - 6 = 1/3x + 4

- 1 x - 1 x

- 6 = - 2/3x + 4

2. Subtract 4 which is the inverse operation of addition.

- 6 = - 2/3x + 4

- 4 - 4

- 10 = - 2/3x

3. Divide by - 2/3 which is the invers eoperation of multiplication.

- 10 = - 2/3x

- 2/3 - 2/3

(Keep,Change,Change - KCC method)

- 10 ÷ - 2/3 = - 10 × - 3/2 = 30/2 = 15

- 10 = - 2/3x

- 2/3 - 2/3

15 = x → x = 15

Check:

15 - 6 = 1/3(15) + 4

9 = 15/3 + 4

9 = 5 + 4

9 = 9

True statement.

Answer:

B.

Step-by-step explanation:

Because predict basically means to guess. So B. is saying "I guess my dad will make a healthy dinner - he does every other night!"

Answer:

B. I predict my dad will make a healthy dinner - he does every other night!

Step-by-step explanation:

Predict meaning is to estimate or believe something will happen, In answer b it makes the statement that the dad makes dinner every other night so it would be a good prediction to assume that he will be fixing a healthy dinner again.

hopefully this helps you !

The cubic feet of air the scuba diver used per minute is 1.2 cubic feet of air per minute

Cubic feet of air used per minute = Difference in quantity of air in his tank / difference in time

= (30 - 12) / (3:30pm - 3:15pm)

= 18 / 15

= 1.2 cubic feet of air per minute

Therefore, the cubic feet of air the scuba diver used per minute is 1.2 cubic feet of air per minute

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Answer:

b

Step-by-step explanation:

cuz remember () and no parentheses has a different meaning

Answer:

2.1

Step-by-step explanation:

15.6 + (-13.5) + = 2.1

Remove Parentheses (-a) = -a

Subtract the numbers: 15.6 - 13.5 = 2.1

= 2.1

Answer:

If you're equally likely to land on each space then you're 1 in number of spaces to land on a specific space=1/(6+29+12+18) = 1/65

there are 12 green spaces so chance of a green space is 12/65=0.185 rounded to a nearest thousandth

Step-by-step explanation: