Find the sun of the interior angles for each polygon
Answer:
360
1080
Step-by-step explanation:
We can find the sum of the interior angles of any regular polygon by using this formula
(n - 2) * 180
where n = number of sides
For the square: the square has 4 sides
To find the sum of the interior angles we simply substitute 4 for n in the formula
Formula: (n - 2) * 180
Substitute 4 for n
(4 - 2 ) * 180
Subtract 4-2
2 * 180
Multiply
= 360
The sum of the interior angles of the first polygon is 360
For the second one:
We will repeat this exact process the only difference is the value of "n"
The polygon shown has 8 sides
So to find the sum of the interior angles we simply substitute 8 for n in The formula
Formula (n - 2) * 180
Substitute 8 for n
(8 - 2) * 180
Subtract 8 - 2
6 * 180
Multiply
= 1080
The interior angles of a 8 sided figure will add up to 1080
Write 5y without exponents.
Answer:
Step-by-step explanation:
5y/5=y+y+y+y+y
A prize wheel at a carnival consists of five equal sectors of these colors: red, blue, green, yellow, and orange. If the wheel
lands on yellow, the player wins a prize. After observing several spins, a customer suspects that the wheel is not fair. To
substantiate this belief, the customer observes 100 consecutive spins of the prize wheel. Are the conditions for inference
met?
A. No, the random condition is not met.
B. No, the 10% condition is not met
C. No, the Large Counts condition is not met.
D. Yes, all of the conditions for inference are met.
(It’s D)
Answer:
The correct answer is D.
Step-by-step explanation:
D. Yes, all of the conditions for inference are met.
Which of the following is not a factor of the polynomial p(x) = x³ - 23x² + 142x - 120?
Options :
A(x - 1)
B(x - 10)
C(x - 5)
D(x - 12)
no spam answers and explain how you got the solution.
Answer:
The correct answer is C- (X-5)Solution
Given -
polynomial p(x) = x³ - 23x² + 142x - 120
Now see the coefficients
coefficient of x³ is 1 x² is -23 x is 142 and then -120
when you'll add this coefficients
i.e.
1-23+142-120=0
When sum of the coefficient turn out 0 then x = 1
using x=1, x-1 = 0
devide the given polynomial p(x) = x³ - 23x² + 142x - 120 by x-1 you'll get rest two factors hence
Answer is option C
Jay loves to eat apple but not the banana while John loves to eat mango and the banana. Kim loves to eat mango but not the apple and Jim loves to eat banana but not the mango. If each child loves to eat two of the three fruits, which one has the same preference as John?
John has the same preference as Kim. John loves to eat mango and the banana. Kim loves to eat mango but not the apple. Jim loves to eat banana but not the mango. John and Kim have the same preference for mango.
John's preference for mango can be inferred from the given information that he loves to eat mango and the banana. However, it does not mention anything about his preference for apples. Kim, on the other hand, loves to eat mango but not the apple. This aligns with John's preference for mango.
Among the given children, John and Kim have the same preference for fruits. They both love to eat mango, while John also enjoys eating bananas.
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What is the solution to the conpound inequality 2x + 7 < 5
2x + 7 < 5
Subtract 7 from both sides
2x < -2
Divide both sides by 2
X<-1
Answer: x < -1
How much is 1.75 m in feet?
1.75 meters is equal to 5 feet and 8.921 inches. both are unit of measurement of length.
Meters (m) and feet (ft) are two different units of measurement for length. Meters are the standard unit of measurement for length in the metric system, while feet are used in the imperial system.
To convert meters to feet, you multiply the number of meters by 3.2808. In this case, 1.75 meters multiplied by 3.2808 which is conversion factor equals 5 feet and 8.921 inches. This conversion is commonly used in various fields such as architecture, engineering, and construction, as well as in everyday life, when people need to convert their height or other length measurements from one unit of measurement to another.
Understanding how to convert meters to feet is an important skill for anyone who needs to work with both units of measurement.
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The equation 4x2 8x 15 = 0 is being rewritten in vertex form. fill in the missing step. given 4x2 8x 15 = 0 step 1 4(x2 2x ___) 15 ___ = 0 step 2 ✔ step 3 4(x 1)2 11 = 0 4(x2 2x 1) 15 − 4 = 0 4(x2 2x 1) 15 − 1 = 0 4(x2 2x 2) 15 − 2 = 0 4(x2 2x 4) 15 − 4 = 0
Answer:
a) is the correct answer
the tent has a square base.
18. A rectangular pool that is fifteen feet wide and twenty feet long is surrounded by a
deck that is four feet wide. What is the area of the surface of the deck?
Answer: 160 sq. feet
Step-by-step explanation:
Given: Dimension of rectangular pool :
Length = 20 feet
width = 15 feet
Area of rectangular pool = length x width
= 20 feet × 15 feet
= 300 sq. feet
Now, Length of deck = 20 feet + 4 feet+ 4 feet (For both sides)
= 28 feet
width of deck = 15 feet + 4 feet+ 4 feet = 23 feet
Area of deck including pool = 20 feet × 23 feet
= 460 sq. feet
Area of deck = (Area of deck including pool ) -(Area of rectangular pool)
= 460 - 300 sq. feet
= 160 sq. feet
Hence, the area of the surface of the deck= 160 sq. feet
I don’t know how to solve this I would love some help and explanations oh now to solve it please
Given the point-slope equation
\(y+1=\frac{2}{3}(x-8)\)Simplify as shown below
\(\begin{gathered} y+1=\frac{2}{3}x-8\cdot\frac{2}{3}=\frac{2}{3}x-\frac{16}{3} \\ \Rightarrow-\frac{2}{3}x+y=-\frac{16}{3}-1=-\frac{19}{3} \\ \Rightarrow-\frac{2}{3}x+y=-\frac{19}{3} \end{gathered}\)The answer is -2x/3+y=-19/3. Write -2/3 in the first gap, 1 in the second gap, and -19/3 in the third one.
How to multiply fractions
\(\begin{gathered} \frac{a}{b}\cdot\frac{c}{d}=\frac{a\cdot c}{b\cdot d} \\ \Rightarrow8\cdot\frac{2}{3}=\frac{8}{1}\cdot\frac{2}{3}=\frac{8\cdot2}{1\cdot3}=\frac{16}{3} \end{gathered}\)How to add fractions,
\(\begin{gathered} \frac{a}{b}+\frac{c}{d}=\frac{\text{ad+cd}}{bd} \\ \Rightarrow-\frac{16}{3}-1=-\frac{16}{3}-\frac{3}{3}=\frac{-16\cdot3-3\cdot3}{3\cdot3}=\frac{-48-9}{9}=-\frac{57}{9}=-\frac{19}{3} \end{gathered}\)Answer:
2x + -3y = 19
Step-by-step explanation:
In this question, they already gave you the equation of the line. But it is in point-slope form. We just need to rearrange the equation to look like:
Ax + By = C
A and B and C should be positive or negative whole numbers. So let's get rid of the fraction first.
y + 1 = 2/3 (x - 8)
You could use distributive property on the right side, but that is just going to make two terms have fractions. Instead, let's multiply both sides by 3 and get rid of the fraction.
3(y + 1) = 3• 2/3(x-8)
3(y + 1) = 2(x - 8)
Now use distributive property.
3y + 3 = 2x - 16
We need x and y on the left and plain numbers on the right.
3y + 3 = 2x - 16
Subtract 3
3y = 2x - 19
Subtract 2x
3y - 2x = -19
Rearrange the x and y terms, put x in the lead.
-2x + 3y = -19
This is almost standard form. The A is supposed to be positive. So change the sign of ALL the numbers. A is 2, the B is -3 and the C is 19. Those are the numbers that go in the blanks on your question.
Are the ratios 3:6 and 2:4 equivalent? ) yes no
Answer:
Yes, the ratios 3:6 and 2:4 are equivalent because they represent the same proportion. To confirm, we can simplify both ratios to their simplest form:
3:6 can be simplified by dividing both terms by 3: 3/3 : 6/3 -> 1:2
2:4 can be simplified by dividing both terms by 2: 2/2 : 4/2 -> 1:2
Since both ratios simplify to the same ratio, 1:2, they are equivalent.
Answer: yes !!
Step-by-step explanation: 3:6 and 2:4 are equivalent b/c of their common factors.
A group of students at a high school took a standardized test. The number of students
who passed or failed the exam is broken down by gender in the following table.
Determine whether gender and passing the test are independent by filling out the
blanks in the sentence below, rounding all probabilities to the nearest thousandth.
Passed Failed
Male 25 10
Female 20 8
P(female) × P(fail) = 0.100 and P(female and fail) = 0.127, the two events are not equal so the events are dependent.
We can calculate the probabilities as follows:
Total number of students = 25 + 10 + 20 + 8 = 63
P(female) = Number of females / Total number of students
= 20 / 63
= 0.317
P(fail) = Number of students who failed / Total number of students
= (10 + 8) / 63
= 0.317
P(female and fail) = Number of female students who failed / Total number of students
= 8 / 63
= 0.127
Since P(female) × P(fail) = (0.317) × (0.317) = 0.100 and P(female and fail) = 0.127, the two events are not equal so the events are dependent.
Therefore, based on the calculations, we can conclude that gender and passing the test are dependent events, not independent.
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9a-9b. Using evidence from both Documents 1 and 2 and your knowledge of social studies:
a) Identify a turning point associated with the events, ideas, or historical developments
related to both documents 1 and 2.
b) Explain why the events, ideas, or historical developments associated with these
documents are considered a turning point. Be sure to use evidence from both
documents 1 and 2 in your response.
A turning point associated with the events, ideas, or historical developments related to both the statute law and Article 1 competence of the international tribunal of Rwanda was the assassination of President Juvenal Habyarimana.
Why the events are considered a turning pointThe assassination of Rwandan President Juvenal Habyarimana was a turning point in the Rwandan strife because it triggered the ethnic cleansing of the Tutsis.
The statute law of the international tribunal was made to address the prosecution of persons who participated in acts of genocide and violation of human rights. This event was an element of justice that punished wrongdoers for their part in the incident.
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expand and simplify (x-2)(2x+4)
Answer:
\(2 {x}^{2} - 8\)
hope it's helpful ❤❤❤
THANK YOU.
Answer:
2x² - 8
Step-by-step explanation:
Given
(x - 2)(2x + 4)
Each term in the second factor is multiplied by each term in the first factor, that is
x(2x + 4) - 2(2x + 4) ← distribute both parenthesis
= 2x² + 4x - 4x - 8 ← collect like terms
= 2x² - 8
I NEED UR HELP ILL BE BRAINLISTING YALL!
A market stall holder bought a variety of coloured 'hoodies' to sell. Each hoodie costs the stall holder $20 and she intends to sell them to the public at a mark up of 65%
1) calculate the value of the markup on each hoodie.
Answer: $13
Step-by-step explanation:
The markup would be 65% of 20
65% as a decimal is 0.65
0.65*20= 13
The new price would be $33, the markup would be $13
PLEASE HELLPPPPPPP!!!!!!!!
Find the equivalent for −(3)^-4
Answer:
C. - (\(\frac{1}{3}\) · \(\frac{1}{3}\) · \(\frac{1}{3}\) · \(\frac{1}{3}\))
Step-by-step explanation:
-3 ^-4 = -1/3 ^4
This equal - (\(\frac{1}{3}\) · \(\frac{1}{3}\) · \(\frac{1}{3}\) · \(\frac{1}{3}\))
The points on the graphs represent relatons. Classify these relations according to whether or not they are functions
Answer:
Step-by-step explanation:
A relation where each element in the domain corresponds to exactly one element in the range. If any vertical line intersects the graph more than once, then the graph does not represent a function. The notation f(x)=y, which reads “f of x is equal to y.” Given a function, y and f(x) can be used interchangeably.
maddie wants to lose 20 pounds. she knows that at the onset of her weight loss program, she will not only lose fat but also carbohydrates, water, and some lean muscle tissue. she realizes that her rate of weight loss will be greater in the beginning of her program than it will be later on. maddie knows not to get discouraged if her rate of weight loss levels off after 2 to 4 weeks because the weight she loses later will come primarily from fat stores. she has been consuming 2300 calories a day. how many calories a day should maddie consume to lose 1 pound of weight per week?
In order to lose one pound for weight per week, Maddie must consume 1800 calories per day.
Firstly we need to know the number of calories Maddie wants to loose. As per the fact, 1 pound equals 3500 calories. Thus, she must eat 3500 calories less than regular in a week.
Now, one week has seven days. So, number of calories to be reduced each day = 3500/7
Number of calories = 500 calories.
The required calorie intake = current calorie intake - calories to not be consumed
Required calorie intake = 2300 - 500
Required calorie intake = 1800 calories.
Thus, Maddie must consume 1800 calories per day.
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To calculate depletion expense, first determine the depletion per unit. depletion per unit can be calculated by taking (cost ______)/total units of capacity.
To calculate depletion expense, you need to determine the depletion per unit. The depletion per unit can be calculated by taking (cost of the resource) / total units of capacity.
Depletion is an accounting method used to allocate the cost of natural resources over their useful life. It is commonly used in industries such as mining, oil and gas extraction, and timber harvesting, where companies extract and deplete natural resources as part of their operations.
The first step in calculating depletion expense is to determine the cost of the resource. This includes all costs incurred to acquire and develop the resource, such as exploration costs, development costs, and acquisition costs. These costs are typically capitalized and then allocated over the estimated recoverable units of the resource.
Once you have determined the cost of the resource, you need to calculate the total units of capacity. This refers to the estimated amount of resource that can be extracted or harvested from the reserve. For example, in mining, it could be measured in tons of ore, while in oil and gas extraction, it could be measured in barrels or cubic feet.
To calculate the depletion per unit, divide the cost of the resource by the total units of capacity. This will give you the amount of depletion expense that should be recognized for each unit extracted or harvested.
It's important to note that there are different methods for calculating depletion expense, such as units-of-production method and percentage depletion method. The units-of-production method calculates depletion based on actual production or extraction during a given period. On the other hand, the percentage depletion method allows for a fixed percentage deduction from gross income based on statutory rates.
In conclusion, to calculate depletion expense, you need to determine the depletion per unit by dividing the cost of the resource by the total units of capacity. This allows for an appropriate allocation of costs over the useful life of natural resources.
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Concrete is made by mixing screenings cement and sand in the ratio 3:1:15. How much sand would be needed to make 125 tonnes of concrete?
6v²-19v-36
College Prep Math
In Jaylen's toy bin there are 25 red blocks. There are 19 more yellow blocks than red blocks. There are also 17 more blue blocks than red blocks. How many blocks are there in all?
Answer: 111
Step-by-step explanation: because you add and add and you get your answer
Answer:
The answer should be 61
Step-by-step explanation:
I hope this helps! let me know if I am wrong
To compute the perimeter of a rectangle, you add the length, l , and width, w , and double this sum.
This means you can find the perimeter of a rectangle by evaluating the expression 2 (1 + w ).
Use this expression to find the perimeter of a rectangle with length 30 and width 75.
210 (A)
135 (B)
180 (C)
107 (D)
Answer:
210 (A)Step-by-step explanation:
Use the formula:
P = 2(l + w)Substitute the values and find P:
P = 2(30 +75) = 2(105) = 210Correct choice is A
Answer:
given length [l]=30
width[w]=75
perimeter= 2 (l + w )=2(30+75)=210
so
answer is A.210
The points (1,7) (13,16) and (5,k), where k is an integer, are vertices of a non-degenerate triangle. What is the sum of the values of k for which the area of the triangle is a minimum?
The sum of the values of k for which the area of the triangle is a minimum is 10.
To find the sum of the values of k for which the area of the triangle is a minimum, we need to determine the possible values of k.
Given that the area of the triangle is 10, we can use the formula for the area of a triangle:
Area = 1/2 * base * height
We can choose any two sides of the triangle as the base and height. Let's consider the sides formed by the points (1,7) and (13,16) as the base.
The length of the base is the distance between these two points:
base = sqrt((13-1)^2 + (16-7)^2) = sqrt(144 + 81) = sqrt(225) = 15
Since the area is 10, we can substitute the values into the formula:
10 = 1/2 * 15 * height
Simplifying the equation, we find:
height = 20/3
Now, let's find the equation of the line passing through the points (1,7) and (13,16) to determine the possible values of k.
The slope of the line is given by:
m = (16-7)/(13-1) = 9/12 = 3/4
Using the point-slope form of a linear equation, we have:
(y - 7) = (3/4)(x - 1)
Rearranging the equation, we find:
4y - 28 = 3x - 3
Simplifying, we get:
4y = 3x + 25
Substituting x = 5 (since the point (5,k) lies on the line), we can solve for k:
4k = 3(5) + 25
4k = 15 + 25
4k = 40
k = 10
Therefore, the sum of the values of k for which the area of the triangle is a minimum is 10.
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Each year 4.5 billion dollars are spent on 362 waste facilities. How much is spent on each facility? Show your work and express your answer in both scientific notation and standard notation.
Answer:
12,430,939
Step-by-step explanation:
4,500,000,000 divided by 362 would turn out to equal 12,430,939, making it the answer.
choose the correct answer
Answer:1.5
Step-by-step explanation:no
Find an equation for the level surface of the function through a given point. x - y + 2z/2x + y - z, (3, 0, -1) An equation for the level surface passing through the point (3, 0, 1) is z =
the equation for the level surface passing through the point (3, 0, 1) is x + 2y - 3z = 0. The given function is f(x, y, z) = (x - y + 2z) / (2x + y - z). We are asked to find an equation for the level surface passing through the point (3, 0, 1).
To find the equation for the level surface, we need to set the function equal to a constant value and solve for z.
Let's start by substituting the coordinates of the given point into the function:
f(3, 0, 1) = (3 - 0 + 2(1)) / (2(3) + 0 - 1)
= 5 / 5
= 1
So, the constant value for the level surface passing through (3, 0, 1) is 1.
Now, let's set the function equal to 1 and solve for z:
1 = (x - y + 2z) / (2x + y - z)
Cross-multiplying, we get:
2x + y - z = x - y + 2z
Rearranging the terms, we have:
x + 2y - 3z = 0
Therefore, the equation for the level surface passing through the point (3, 0, 1) is x + 2y - 3z = 0.
In summary, the equation for the level surface passing through the point (3, 0, 1) is x + 2y - 3z = 0.
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You are throwing a party for your friend. The caterer charges $60 per person. Fifteen guests have been invited, but you are not sure if all her friends will attend. assume that at least one person shows up to the party.
a) write an equation to represent this situation.
b) find the domain of this function.
c) find the range of this function.
Answer:
a.) write an equation to represent this situation
Step-by-step explanation:
what is the distance between (-6,13) and (8,13)
Explanation:
The distance between two points (x1, y1) and (x2, y2) is:
\(d=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2}\)In this problem points are (-6, 13) and (8, 13). The distance is:
\(d=\sqrt[]{(8-(-6))^2+(13-13)^2}=\sqrt[]{(8+6)^2}=8+6=14\)Answer:
The distance is 14
A box of cereal costs $3.59 for 30 oz. Find the unit cost, round to the nearest hundredth. ?