the sum of the measures of the interior angles of a convex polygon is eight times the sum of the measures of its exterior angles. find the number of sides of the polygon

Exponents, commonly referred to as powers, are symbols used in mathematics to denote repeated multiplication of the same integer. The base of an exponential expression is the multiplied number, and the exponent is the number of times the base has been multiplied by itself.

Given the expression B^2/ab^-3, we can simplify it by using the properties of exponents:

Remember that a^(-n) = 1/a^n. So, b^(-3) = 1/b^3.

Substitute this back into the expression: B^2/(a*(1/b^3)). Now, we can simplify the expression by multiplying B^2 by the reciprocal of the denominator (which is b^3/a): B^2 * (b^3/a).

Apply the properties of exponents and multiply the numerators and the denominators separately: (B^2 * b^3) / a.

Combine the exponents of 'b': B^(2+3) / a.

Finally, the simplified expression is B^5/a.

So, the equivalent expression for B^2/ab^-3 is B^5/a, assuming a≠0 and b≠0.

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Jamie will therefore need five days to complete the book as a result, P – 90 pages equals 3/8 of the book.

A mathematical strategy for resolving proportionality issues is the unitary method. Finding the price of one unit is the first step, and utilizing that value to determine the value of yet another quantity with a different quantity is the second. Consider being told, for instance, that an automobile drives 300 kilometres in 5 hours. You are able to employ the unitary technique as shown below to determine how far the car drives in eight hours. For example, 1 hour is equal to 300/5, or 60 miles. To calculate the value of eight hours, use this value: Since 8 hours are equal to 8/1 units, 480 miles are covered in 8 hours.

given

Let P represent the book's total number of pages.

Jessica reads 30 pages per day, which translates to 330 pages after 3 days, or 90 pages total.

5/8 of the book is still to be read, which indicates that 3/8 of it has already been. As a result, P – 90 pages equals 3/8 of the book.

Divide both sides by 5, and you get:

P = 144

The book thus has 144 pages.

Regarding the second query:

She reads 45 pages per 225 pages, or 1/5 of the book.

We divide the total number of pages by the average number of pages Jamie reads each day to determine the number of days Jamie will need to finish the book.

Jamie will therefore need five days to complete the book as a result, P – 90 pages equals 3/8 of the book.

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The value of c<(34.56-20.56) divided by \(1\frac{6}{8}\)  is 8

First, we need to find  the value inside the parentheses:

34.56 - 20.56 = 14

Next, we need to convert the mixed number \(1\frac{6}{8}\) into an improper fraction:

\(1\frac{6}{8}\) = (8 x 1 + 6) / 8 = 14/8

Now, we can substitute these values into the expression:

= 14 / (14/8)

To divide by a fraction, we can multiply by its reciprocal:

14 / (14/8) = 14 x (8/14)

We can simplify this by canceling out the common factor of 14:

14 x (8/14) = 8

Hence, the value of c<(34.56-20.56) divided by \(1\frac{6}{8}\)  is 8

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A plasmid used in both yeast and bacteria requires two different selection markers because the same selection may not work for both hosts and bacteria and yeast recognize different promoters.

When using a plasmid in both yeast and bacteria, it is important to have two different selection markers for several reasons. First, the same selection, such as the presence of an antibiotic, may not be effective in both hosts. Different organisms have varying sensitivities to antibiotics, so a marker that works in bacteria may not work in yeast or vice versa. Therefore, two different selection markers are needed to ensure successful selection in both hosts.

Additionally, bacteria and yeast recognize different promoters, which are DNA sequences that control the initiation of gene expression. Promoters are specific to each organism and play a crucial role in regulating gene expression. By incorporating two different selection markers into the plasmid, each marker can be driven by a promoter recognized specifically by the corresponding host. This ensures that the selection marker is effectively expressed in the appropriate host organism, enabling accurate selection and maintenance of the plasmid.

In summary, using two different selection markers in a plasmid intended for both yeast and bacteria is necessary because the same selection may not be effective in both hosts, and different promoters are recognized by bacteria and yeast. This approach allows for successful selection and maintenance of the plasmid in both organisms.

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Answer:  \(C=31.4\)

Step-by-step explanation: When you are finding the circumference of a circle you use the formula

\(C=2\pi r\)

\(C=2*3.14 *5\)

\(C=31.4\)

Answer:

-6.6

Step-by-step explanation:

all you are doing is just multiplying. you can put it in parentheses if it helps.

Answer:

b<-7 or b>-1

Step-by-step explanation:

explanation: -6b>42 turns into -42>6b then divide by 6 on both sides and you get -7>b

for the other inequality, you  take 4b+6>2 and then subtract6 from both sides, from there you will get 4b>-4 and that will be b>-1

There is a circumference of 69.167 miles per degree of latitude.

Firstly, we assume that the earth is a spherical form to simplify calculations as spheres have constant radii of curvature, because the real form of the planet is similar to a oblate spheroid, a kind of ellipsoid. In addition, the circular arc (s), in miles, is directly proportional to the measure of the central angle (θ), in degrees, that is:

s ∝ θ

s = k · θ         (1)

Where k is the constant of proportionality, in miles.

Now we eliminate the constant of proportionality and we calculate the circular arc afterwards:

s / 24900 mi = 1° / 360°

s = 1 / 360 × 24900 mi

s = 69.167 mi

There is a circumference of 69.167 miles per degree of latitude.

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True. However, it is important to note that this command alone does not necessarily align with the values and goals of the budget. It is important to carefully consider and plan out the values and priorities of the budget before executing any commands.

The given command is related to SQL (Structured Query Language), used for managing and querying relational databases. The command is:
`insert into budget values (121, 222, 111);`

This command is inserting a row with values 121, 222, and 111 into the "budget" table. Based on the provided information, this command appears to be correctly structured. So, the answer is:
Structured Query Language, abbreviated as SQL, is a specialized programming language designed to manage data in a relational database management system (RDBMS) or manipulate data in a relational data flow management system (RDSMS). It is especially important when working with structured data, that is, data that has a relationship between entities and variables. SQL has two better read-and-write APIs like ISAM or VSAM. It introduces the concept of accessing multiple files with a single command. Second, it eliminates the need to specify how data is accessed, such as with or without an index.

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This equation is an example of the Property of Zero, which states that any number multiplied by zero is equal to zero.

Given the equation

(5x + 2y) x 0 = 0

The Property of Zero is a mathematical property that applies to multiplication. It states that when you multiply any number by zero, the result is always zero.

In other words, zero is the multiplicative identity for real numbers, meaning that any number multiplied by zero equals zero.

In the given equation (5x + 2y) x 0 = 0, we have a product of two expressions on the left-hand side that is multiplied by zero.

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Answer:

\( \sf \: x=34\)

Step-by-step explanation:

Let's solve your equation step-by-step.

x/2 = 17/1

Step 1: Cross-multiply.

x/2 = 17/1

x*(1)=(17)*(2)

x=34

Answer:

The slope of this equation would be -9/7

Step-by-step explanation:

To improve the survey on the consistency of the number of babies on each flight, it would be beneficial to ask travelers to fill out a questionnaire, conduct the survey during different times of the year, on different days of the week, and using flights to and from various locations.

To improve the survey on the consistency of the number of babies on each flight, the following options can be considered:

i. Ask travelers to fill out a questionnaire: By asking travelers to fill out a questionnaire, the airline can collect data on the number of babies on each flight more accurately. This method allows for systematic data collection and reduces reliance on memory or estimation.

iii. Conduct the survey during different times of the year: Conducting the survey during different times of the year helps to capture seasonal variations in the number of babies on flights. It provides a broader perspective on the consistency of the number of babies across different travel periods.

iv. Conduct the survey on different days of the week: Surveying flights on different days of the week allows for an examination of any day-specific patterns or variations in the number of babies on flights. This helps in understanding if there are specific days that have higher or lower numbers of babies.

v. Conduct the survey using flights to and from various locations: Extending the survey to flights to and from various locations helps in capturing the variability of the number of babies across different routes. It provides a more comprehensive understanding of the consistency of the number of babies on flights, taking into account different origins and destinations.

ii. Conduct the survey at the entrance to the airport: Conducting the survey at the entrance to the airport may not be an effective method to gather accurate data on the number of babies on flights. This approach may be prone to biases, as not all travelers entering the airport would necessarily be taking a flight. It is better to survey passengers specifically on the flights being studied.

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Answer:

0.5 hours

$130 = 1h

$90 = 30m/1h

Answer:

(-3,5) (6,2) (Plug in these points into (y2-y1)/(x2-x1) to find the slope)

2-5/6-(-3)

-3/9

-1/3 is the slope

y - y1 = m(x -x1) (this is point slope form)

y - 5 = -1/3 (x +3) (you plug in the x &y values from the first set of coordinates)

y -5 = -1/3x -1  (you get to slope intercept form by solving from point slope)

y = -1/3x +4 (this is slope intercept form)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

mathwa y use your pic and do it

Answer:WAIT HE IS TELLING THE TIME

Step-by-step explanation:

Alan made s sandwiches with a total of 3s slices of turkey and 3s slices of ham.

To determine the number of slices of turkey and ham on the sandwiches, we need to consider the number of sandwiches Alan made.

Let's assume the number of sandwiches Alan made as s. We know that each sandwich contains 3 slices of turkey and 3 slices of ham.

Therefore, the total number of slices of turkey on the sandwiches is 3s, and the total number of slices of ham is also 3s.

In summary, Alan made s sandwiches, and each sandwich contained 3 slices of turkey and 3 slices of ham. Therefore, the total number of slices of turkey and ham on the sandwiches is 3s.

For example, if Alan made 5 sandwiches, there would be a total of 15 slices of turkey and 15 slices of ham (3 slices each per sandwich). The same pattern applies regardless of the number of sandwiches made.

So, the number of slices of turkey and ham on the sandwiches is directly proportional to the number of sandwiches made, with a ratio of 3 slices per sandwich.

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The value of MN is 3.05

Along with arithmetic, geometry is one of the earliest subfields of mathematics. It is concerned with spatial characteristics like the separation between objects, their shape and size, and their relative positions.

Since MN=NK,

draw an isosceles triangle (two sides are equal).

Mark the angle N as 110 degrees.

Now, draw a line from N to the opposite side at a right angle. This line will divide MK=5 in half since MN = NK.

It will also divide angle N into half. So, we will end up with a right triangle with one side 5/2 = 2.5 and the opposite angle 55 degrees.

sin(55) = opposite / hypotenuse = 2.5 / MN = 0.82

MN = 2.5 / 0.82 = 3.05

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Answer:

7h+3=45

Step-by-step explanation:

Answer:

This is your answer.

Step-by-step explanation:

There are different kinds of angles:

Angles below 90= Acute

90= Right

91–179= Obtuse

180= Straight Angle

181–359= Reflex Angle

360= Complete Angle or Circle.

Because 80 degrees is less than 90 degrees, Angle ABC is an acute angle.

Answer:

33.4

Step-by-step explanation:

We are given the side opposite to the missing angle and the side adjacent to the missing angle. The appropriate trigonometric ratio is therefore the tangent.

Denoting the missing angle by 0, we obtain the equation Tan(0)= 6.6/10

Evaluating this result in the calculator and rounding to the nearest tenth, we get 0=33.4

The angle between the diagonal line and the left edge of the flag is 33.4

Answer:

angle of elevation is at top and depresseion on bottom.

Step-by-step explanation:

far apart and height is calculated with more information

Answer:

d

Step-by-step explanation:

...........

..........

correct ans is D

Answer:

19/3 (6 1/3)

Step-by-step explanation:

The integral is convergent. To evaluate it, we use the formula for the integral of e^x, which is e^x + C. So, integrating e^-6p gives us (-1/6)e^-6p. Evaluating this from 0 to infinity, we get: (-1/6)e^-6(infinity) - (-1/6)e^0.

Since e^-6(infinity) approaches 0 as p approaches infinity, the first term becomes 0. Therefore, the integral evaluates to: (-1/6)e^0 = -1/6, So the quantity converges to -1/6.To determine whether the given integral is convergent or divergent, we need to analyze the integral: ∫[2, ∞] e^(-6p) dp.

To evaluate this integral, we first apply the Fundamental Theorem of Calculus. We find the antiderivative of e^(-6p) with respect to p, which is (-1/6)e^(-6p). Now, we need to evaluate the limit: lim (b → ∞) [(-1/6)e^(-6p)] [2, b].

When we take the limit as b approaches infinity, e^(-6p) approaches 0 because the exponent becomes increasingly negative. Thus, the integral is convergent.

To find the value of the convergent integral, we can calculate: ((-1/6)e^(-6*2)) - ((-1/6)e^(-6*∞)) = (-1/6)e^(-12) - 0 = (-1/6)e^(-12), So, the integral is convergent, and its value is (-1/6)e^(-12).

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Bob continues his research because even though there is no linear equation relationship between the number of bedrooms and selling price, there could be another type of relationship.

Bob continues his research because even though the correlation value he calculated between the number of bedrooms and the selling price was only 0.05, this does not necessarily mean that there is no relationship of any kind between these two variables. It simply means that there is no linear relationship between the two. There could still be other types of relationships between the two variables, such as an exponential or quadratic relationship. It is possible that further analysis and exploration of the data set would reveal such a relationship and allow Bob to uncover the relationship between the two variables. Additionally, even if the correlation value is low, it does not necessarily mean that there is no relationship between the two variables. It simply means that the relationship is weak. Therefore, Bob should continue his research in order to uncover any potential relationships between the number of bedrooms and selling price.

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