Answer: 45
Step-by-step explanation:
We can label 5/9 of 81 as Numerator/Denominator of a whole number.
To solve the problem, we multiply the Numerator by the whole number and leave the Denominator as is:
(5 x 81) / 9 = 405/9 = 45
Therefore, the answer to 5/9 of 81 in its lowest form is:
Determine whether the triangles can be proved similar. If they are similar, write a similarity statement and explain how you know they are similar. If they are not similar, explain why.
Answer:
Step-by-step explanation:
a. If two angles of one triangle are congruent to two angles of another triangle, then the triangle are similar.
The ORDER matters in the similarity statement. The same measures must go in the same order.
∧ABC ≈ ∧PQR Angle-Angle Similarity Postulate
b. Set up the ratios, then reduce to see if they all reduce to the same fraction.
3/18 ; 4/24 ; 5/30
1/6 ; 1/6 ; 1/6
1/6 = 1/6 = 1/6
The sides are proportional so the triangles are proportional.
∧ ABC ≈ ∧ DEF Side-Side-Side Similarity Postulate
a predefined formula that performs calculations by using specific values in a particular order or structure called?
A predetermined formula known as "Functions" that performs computations using specified values inside a particular arrangement or structure.
Explain the term Functions?A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.
This means that a function f will map an object x to exactly single object f(x) in the set of potential outputs if the object x is included in the set of inputs (referred to as the domain) (called the codomain).Many popular functions are designated by multi-letter names, even though functions are frequently identified by one-letter names for brevity, as f.Thus, a predetermined formula known as "Functions" that performs computations using specified values inside a particular arrangement or structure.
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4)
Andrew spent $350,000 on a new couch. The sofa's worth falls exponentially at a pace of 5%
every year. So, how much is the sofa worth after two years? Please round your answer to the nearest decimal
point. (Show work)
The sofa worth after two years is, $385,875.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
Andrew spent $350,000 on a new couch. The sofa's worth falls exponentially at a pace of 5% every year.
Now, We know that;
The formula for calculating exponentially is,
⇒ f (x) = a (1 + r)ˣ
Where, The f(x) term represents the function.
The a variable stands for the beginning value of your data.
The r variable represents the growth rate.
The x variable is the time interval.
Hence, The sofa worth after two years is,
⇒ f (x) = a (1 + r)ˣ
⇒ f (x) = 350,000 (1 + 0.05)²
⇒ f (x) = 350,000 × 1.05²
⇒ f (x) = $385,875
Thus, The sofa worth after two years = $385,875.
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The current student population of Baltimore is 2000. If the population increases at a rate of 16.7% each
year.
What will the student population be in 5 years?
Write an exponential growth model for the future population P(x) where x is in years:
P(x) =
What will the population be in 5 years? (Round to nearest student)
The population of students in Baltimore will be 4329 in 5 years.
What is an exponential growth?Exponential growth is a function that shows an increase within a population that occurs at the same rate over time.
Given that, the current student population of Baltimore is 2000, the population increases at a rate of 16.7% each year.
We need to find the student population in 5 years
To find the same, we will use, exponential growth model for the future population P(x) where x is in years, is given by,
A = P(1+r)ⁿ
Where,
A = final population
P = initial population
r = rate, n =time
A = 2000(1+0.167)⁵
A = 2000(1.167)⁵
A = 4328.967
A ≈ 4329
Hence, the population of students in Baltimore will be 4329 in 5 years.
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a book sold copies in its first month of release. suppose this represents of the number of copies sold to date. how many copies have been sold to date?
An expected 479,512 duplicates of the book have been offered to date. The principal month of delivery is 38,900 and addresses 8.1% of the absolute number of duplicates offered to date.
On the off chance that the quantity of duplicates sold in the main month of delivery is 38,900 and addresses 8.1% of the absolute number of duplicates offered to date, then, at that point, we can utilize this data to appraise the all out number of duplicates offered to date. To do as such, we partition the quantity of duplicates sold in the primary month by the rate portrayal:
38,900 ÷ 0.081 = 479,512
A book has sold 38,900 duplicates in its most memorable month of delivery. This is viewed as 8.1% of the absolute number of duplicates offered to date. To decide the absolute number of duplicates offered, we can utilize this data to appraise the quantity of duplicates offered to date. To do this, we take the quantity of duplicates sold in the main month and gap it by the rate portrayal of the primary month deals comparable to add up to deals. Partitioning 38,900 by 0.081 provides us with an expected absolute of 479,512 duplicates offered to date. This assessment expects that the pace of deals in the principal month is illustrative of the general deals pattern. In any case, minus any additional data about deals in ensuing months, this assessment ought to be taken with alert.
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The coordinates of one endpoint of the line segments are (-3,-5). The line segment is 11 units long. what are the other possible endpoints.
The possible endpoints are (-3, 6) and (8, -5).
What is the distance between two points of a line?The distance between two points of a line is given as:
Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
We have,
The coordinates of the endpoints are (a, b) = [tex](x_1, y_1)[/tex] and (-3, -5) = [tex](x_2, y_x)[/tex].
The distance between the two endpoints is 11 units.
Now,
Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
11 = [tex]\sqrt{(-3 - a)^2 + (-5 - b)^2}[/tex]
Squaring both sides.
11² = (-3 - a)² + (-5 - b)²
121 = (-3 - a)² + (-5 - b)²
If we take a = -3 and b = 6
121 = (-3 + 3)² + (-5 - 6)²
121 = 0 + (-11)²
121 = 121
or
If we take a = 8 and b = -5
121 = (-3 - 8)² + (-5 + 5)²
121 = (-11)² + 0
121 = 121
Thus,
(-3, 6) and (8, -5) are the possible endpoints.
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Will Mark Brainlist!
Solve for x on the diagram below
Answer: The value of x from the diagram is 50 degrees.
Vertical angles are angles that meets at a point of intersection. From the given diagram 150 and 50+2x are vertical angles showing that they are equal to each other so:
50 + 2x = 150
2x = 150 - 50
2x = 100
Divide both sides by 2
2x/2 = 100/2
x = 50
Therefore the value of x from the diagram is 50 degrees.
Answer:
x = 50
Step-by-step explanation:
150 = 50 + 2x
100 = 2x
x = 50
Harry owes the bank money. To repay his debt, he paid $150 back to the bank each month. After 10 months, his remaining debt was $6900.
1. what was the original amount of harrys debt
2. how many months did it take harry to pay back his entire debt
Answer:
1. 8400 dollars
2. 56 months
Step-by-step explanation:
1. 10x150=1500
2. 1500+6900=8400
3. 8400/150=56
Determine if the table shows a proportional relationship.
x 18.6 54.3 58.8
y 6.2 18.1 19.6
Yes, it is proportional because all y over x ratios are equivalent to one third.
Yes, it is proportional because all y over x ratios are equivalent to one fourth.
No, it is not proportional because 18.6 over 6.2 does not equal 18.1 over 54.3.
No, it is not proportional because 18.1 over 54.3 does not equal 58.8 over 19.6.
The table shows the proportional relationship because all y over x ratios are equivalent to one third.
What is Proportional?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
x 18.6 54.3 58.8
y 6.2 18.1 19.6
Now, the rate of change
= 6.2/18.6
= 1/3
again the rate of change
= 18.1/ 54.3
= 1/3
As, the rate of change is constant.
So, the table shows because all y over x ratios are equivalent to one third.
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I NEED HELP ASAP
(see the photo below for the questions)
Answer:
8
Step-by-step explanatio
I saw it
The graph of the function f(x)=-(x+1)^2 is shown use the drop down menu to describee the key aspect of the function
The transformations to the graph of the parent function y = x² to the function f(x) = -(x + 1)² are given as follows:
Reflection over the x-axis.Shift left of 1 unit.What is a translation?A translation happens when either a figure or a function are moved horizontally or vertically.
The four translation rules for functions are given as follows:
Left a units: f(x + a).Right a units: f(x - a).Up a units: f(x) + a.Down a units: f(x) - a.The changes to the parent function y = x² to create f(x) = -(x + 1)² are given as follows:
Reflection over the x-axis. -> multiplication by -1.Shift left of 1 unit. -> x -> x + 1.More can be learned about translations at brainly.com/question/28174785
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A 250 room hotel is 80% full when the nightly rate is $190. Experience has shown that each $10 increase
in the rate results in 5 fewer occupied rooms. Find the nightly rate that will maximize the nightly revenue. Round
to the nearest dollar.
The nightly rate that will maximize the nightly revenue is $200. The maximum revenue is $39,000.
What is revenue?
Revenue in accounting refers to the total amount of money made from the sale of products and services that are essential to the company's core operations. Sales or turnover are other terms used to describe commercial revenue. Some businesses make money from royalties, interest, or other fees.
The number of rooms in the hotel is 250.
80% of the hotel room occupied.
The number of occupied rooms is 250 × 80% = 200.
The nightly rate is $190.
The total rent is 200 × $190 = $38,000.
If each $10 increase in the rate results in 5 fewer occupied rooms.
The new rent is $190+10 = $200.
The number of occupied rooms is (200 - 5) = 195
The total rent is $200 × 195 = $39,000.
The maximum revenue is $39,000.
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A total of 96 dogs and cats were taken to a
veterinarian's office last week. The ratio of dogs to
cats was 3:5.
Step-by-step explanation:
A total of 96 dogs and cats were taken to a veterinarian's office last week. The ratio of dogs to cats was 3:5.
3x + 5x = 96
8x = 96
8x/8 = 98/8
x = 12
The ratio is 3 to 5 so:
dogs = 12 * 3 = 36
cats = 12 * 5 = 60
Answer: There are 36 dogs and 60 cats.
how many strawberries should be picked so that the probability of having exactly 2 rotten strawberries among them equals 2/35
The final answer will depend on the specific value of p.
Let's say we need to choose a number of strawberries. Then, using the binomial distribution formula, it is possible to determine the likelihood that there will be exactly 2 rotting strawberries among them:
P(exactly two spoiled strawberries) i= (n choose 2) * p^2 * (1-p)^(n-2)
where p is the probability of each strawberry being rotten.
By setting this to 2/35 and figuring out n, we get at:
2/35 = (n choose 2) * p^2 * (1-p)^(n-2)
2/35 = (n choose 2) * p^2 * (1-p)^(n-2)
(2/35) / p^2 = (n choose 2) * (1-p)^(n-2)
It should be noted that p's value is unknown and would need to be determined by estimation or historical data. The final answer will depend on the specific value of p.
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PLEASE HELP ASAP!!!
Let x represent the cost of a jump rope. You have to spend $56 on jump ropes and all of the jump ropes you purchase cost the same price. Given the inequality below, what is the greatest number of jump ropes you could buy with your money?
8 ≤ x ≤ 14
A. 1
B. 7
C. 112
D. 4
Answer:
Step-by-step explanation:
It is C because you need to think but the answer is C
State the domain for the relation. {(2, 6), (-4, 8), (1, -3), (-2, -1)}
a. {-3, -1, 6, 8}
b. {-4, -2, 1, 2}
c. {1, -3, -2, -1}
d. {2, 6, -4, 8}
which plot would you use to plot prices of airbnb rentals as function of room type? group of answer choices boxplot scatter plot barplot histogram
A scatter plot would be the best type of plot to use to show the relationship between the price of Airbnb rentals and the room type.
A scatter plot shows the relationship between two variables by plotting each data point as a dot on the graph. In this case, the room type would be plotted on one axis and the price on the other axis, allowing you to see the distribution of prices for each room type.
By plotting the data in this way, you can see how one variable is related to another, and identify any patterns or trends in the data. This type of plot is particularly useful for exploring the relationship between two continuous variables.
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The correct question for the answer is
which plot would you use to plot prices of airbnb rentals as function of room type?
a) boxplot
b) scatter plot
c) bar plot
d) histogram
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please help with statistics
Answer:
C
Step-by-step explanation:
a parameter is a number describing a whole population (e.g., population mean), while a (sample) statistic is a number describing a sample (e.g., sample mean).
so, everything involving all 700,000 people creates parameters.
therefore, C is correct.
is there any difference in the variability in golf scores for players on the lpga tour (the women's professional golf tour) and players on the pga tour (the men's professional golf tour)? a sample of tournament scores from lpga events showed a standard deviation of strokes, and a sample of tournament scores f
The difference in the variability in golf scores for players on the LPGA Tour and players on the PGA Tour can be calculated by subtracting the standard deviation for the LPGA Tour from the standard deviation for the PGA Tour.
The variability in golf scores for players on the LPGA Tour and the PGA Tour can be measured using the standard deviation. To calculate the standard deviation, the squared differences between each score and the mean score must be calculated and then averaged. Then, the square root of this average must be taken.
Formula:
Standard Deviation =√((x1–μ)2+(x2–μ)2+...+(xn–μ)2)/n
Where:
x1, x2, ..., xn are the individual observations
μ is the mean
n is the number of observations
In this case, the sample of tournament scores from LPGA events showed a standard deviation of strokes and the sample of tournament scores from the PGA Tour showed a standard deviation of strokes. The difference between the two standard deviations can then be calculated by subtracting the LPGA standard deviation from the PGA standard deviation.
Therefore, the difference in the variability in golf scores for players on the LPGA Tour and players on the PGA Tour can be calculated by subtracting the standard deviation for the LPGA Tour from the standard deviation for the PGA Tour.
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Complete question
Is there any difference in the variability in golf scores for players on the LPGA Tour (the women's professional golf tour) and players on the PGA Tour (the men's professional golf tour)?
What quantity of 64% chlorine solution must be mixed with a 29% chlorine solution to produce 5530 mL of 30% solution?
Answer:
you need 221.2 ml of the 64% and 5308.8ml of the 29%
Step-by-step explanation:
the formula is (% x v)=(% * v)+(% * v)
so
(0.3 * 5530)=(0.64 * x)+(0.29 * (5530-x))
simplify
1,659= 0.64x + 1,603.7 - 0.29x
1,659=0.35x + 1,603.7
subtract 1603.7 from both sides
55.3=0.25x
divide 0.25 from both sides
221.2=x
subtract
5530-221.2
answer??? please? thanks!
The statement that best explains Savannah's mistake include the following: A. Savannah incorrectly compared hundredths to tenths. She should compare 35 hundredths to 40 hundredths.
What is a place value?In Mathematics, a place value can be defined as a numerical value (number) which denotes a digit based on its position in a given number and it includes the following:
TenthsHundredthsThousandthsUnitTensHundredsThousands.Tens of thousands.Hundred of thousands.Generally speaking, 0.35 is the same as 35 hundredths while 0.4 is the same as 40 hundredths or 4 tenths. Therefore, she incorrectly compared hundredths to tenths, instead of hundredths to hundredths.
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Complete Question:
Savannah uses models to compare two decimal numbers. She says 0.35 is greater than 0.4 because 35 > 4.Which of these explains Savannah's mistake?
Savannah incorrectly compared hundredths to tenths. She should compare 35 hundredths to 40 hundredths.
Savannah incorrectly compared tenths. She should compare 3 hundredths to 5 hundredths.
Savannah incorrectly shaded the models. She should shade one more tenth.
Savannah incorrectly counted the number of shaded parts in the models. She should compare 3 shaded parts to 4 shaded parts.
When a relation is displayed in each table row represents an ordered pair with the x column representing the input values and the y column representing the output values.
True or False?
True.
In a relation, each row of a table represents an ordered pair where the x-value is in the left column (also called the domain) and the y-value is in the right column (also called the range or codomain). The x-values represent the inputs to the relation, and the y-values represent the corresponding outputs.
Relation Table RepresentationA relation is a set of ordered pairs, where the first element of each pair comes from a set called the domain and the second element comes from a set called the range or codomain. In a table representing a relation, each row represents an ordered pair where the first element (the x-value) is from the domain and the second element (the y-value) is from the range or codomain.
For example, consider the relation R = {(1, 3), (2, 5), (3, 7)}. In a table representing R, the x column represents the first element of each ordered pair (i.e., the domain) and the y column represents the second element of each ordered pair (i.e., the range or codomain).
The first row of the table would be (1, 3), where 1 is the input (x-value) and 3 is the output (y-value) for the relation R. The second row of the table would be (2, 5), where 2 is the input (x-value) and 5 is the output (y-value) for the relation R. And so on for the rest of the rows in the table.
Therefore, each row of a table representing a relation does indeed represent an ordered pair, where the x column represents the input values and the y column represents the output values.
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if mary points her boat due north, how far from her intended landing spot will she be when she reaches the opposite shore?
The answer to this question depends on several factors, including the speed of Mary's boat, the width of the river or body of water she is crossing, and any currents or winds that may affect her trajectory.
What is distance?Distance is defined as the amount or extent of displacement between two points. It is critical to understand that the distance between two sites does not equal the distance traveled between them. The distance traveled is the entire length of the journey traveled between two places. Distance is the length of an object's path, whereas displacement is the distance between where the thing started and where it ended up. Distance is defined as the whole length of an object's true path. The displacement of an object between two locations is the smallest straight line distance between those positions, directed from one to the other.
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Need help asap.
The GDP of a country goes down as people spend more money and businesses make more products.
True or false
Answer:
I'm gonna say false
GDP or Gross Domestic Profit is the money that is being spent/made inside the country. So it stands to reason that if people are spending more, the GDP would go up.
Hope this helps!
Find a possible formula for the trigonometric function whose values are in the following table.
Answer:
-3
Step-by-step explanation:
when surveyed, which profession was chosen by the general public as highest in integrity and ethics?
When surveyed, the Nursing profession was chosen by the general public as the highest in integrity and ethics.
In order to help people recover from sickness and preserve their best health and quality of life, nurses focus on caring for patients and their families.
Because of their diverse areas of practice and methods of providing healthcare, nurses set themselves apart from other healthcare professionals. They are essential in promoting health, avoiding illness, and providing care for everyone, including those who are physically or psychologically ill or impaired.
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HURRY I NEED BY 6:15 The recipe calls for 1/4 cup of rice for every 1 cup of veggies. Now, use the double number line to find the number of cups of rice the restaurant would need for 20 cups of veggies. Solve on paper, then enter your answer on Zearn.
The number of cups of rice the restaurant would need for 20 cups of veggies is 5.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
The recipe calls for 1/4 cup of rice for every 1 cup of veggies.
Now,
1cup veggie = 1/4 cup rice
20cup veggies= 1/4 * 20 cup rice
=5
Therefore, by algebra the count of cups of rice will be 5.
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or Watch a video A line has a slope of – 2 and a y-intercept of – 15. Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.
The equation of a line that has a slope of -2 and y-intercept of -15 is y = -2x - 15.
What is the slope-intercept form?In Mathematics, the slope-intercept form of a line can be calculated by using this mathematical expression:
y = mx + c
Where:
x and y represents the data points.m represents the slope of a line.c represents the y-intercept of a line.From the information provided above, we have the following slope and y-intercept on the line:
Y-intercept = -15
Slope, m = -2
Therefore, the required equation of line is given by:
y = mx + c
y = -2x + (-15)
y = -2x - 15
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True or false the product of a complex number and its conjugate is a real numberi
Answer:
It is true that the product of a complex number and its conjugate is a real number.
Step-by-step explanation:
You're welcome.
Answer:
True
Step-by-step explanation:
....this is how you 'rationalize' denominators that have complex numbers in them
Order these numbers from least to greatest.
79/10, 7 17/20, 7.84, 7.836
Answer:
7.836, 7.84, 7 17/20, 79/10
Step-by-step explanation:
79/10, 7 17/20, 7.84, 7.836
7.9, 7.85, 7.84, 7.836
so 7.836, 7.84, 7.85,7.9