The number of the sets is the {1, 2/5,4/5,8/5}.
According to the statement
We have to find that the sets of numbers.
So, For this purpose, we know that the
A set of numbers is a collection of numbers, called elements. The set can be either a finite collection or an infinite collection of numbers.
From the given information:
The set or sets of numbers that belong to -8/5.
For make a set of the numbers we have to find the those number which are the divisible on the number -8/5.
Then
Let the number 1, 2/5,4/5,8/5.
And these are the numbers which are the divisible on the -8/5 and give some perfect value like 1, 2 etc.
The set of the numbers = {1, 2/5,4/5,8/5}
So, The number of the sets is the {1, 2/5,4/5,8/5}.
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Solve the following inequalities and give the solutions in both set and interval notations.
-2x + 5 < -x + 25
Camille is comparing different apartment complexes. Here is the data she collected. Complex name Bedrooms Bathrooms Rent Rent includes heat Amenities Grand Vistas 2 br 2 bath $990 no fitness center, pool ; Maple Ridge 2br 1.5 bath , $685 yes fitness center, pool; Old Mill 2 1.5, 790 no pool; Willow Brook 2br 2bath $885 no jacuzzi. The individuals in this data set are:
The individuals in this data set are the different apartment complexes: Grand Vistas, Maple Ridge, Old Mill, and Willow Brook.
The individuals in this data set are the different apartment complexes that Camille is comparing. The data provides information on the complex name, number of bedrooms and bathrooms, rent amount, whether rent includes heat, and the amenities offered.
Grand Vistas:
Bedrooms: 2
Bathrooms: 2
Rent: $990
Rent includes heat: No
Amenities: Fitness center, pool
Maple Ridge:
Bedrooms: 2
Bathrooms: 1.5
Rent: $685
Rent includes heat: Yes
Amenities: Fitness center, pool
Old Mill:
Bedrooms: 2
Bathrooms: 1.5
Rent: $790
Rent includes heat: No
Amenities: Pool
Willow Brook:
Bedrooms: 2
Bathrooms: 2
Rent: $885
Rent includes heat: No
Amenities: Jacuzzi
Each apartment complex is represented as an individual in the data set. Camille has collected specific details for each complex, including the number of bedrooms and bathrooms, the rent amount, whether heat is included in the rent, and the amenities provided.
This data set allows Camille to compare different apartment complexes based on these attributes. She can evaluate factors such as rent prices, included amenities, and the presence of heat in the rent. This information will assist Camille in making an informed decision about which apartment complex may be the most suitable for her needs and preferences.
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A show box measures 15 in. by 7 in. by 4 1/2 in. What is the surface of the box?
The surface area of the box is 408 square inches whose dimensions of the box are 15 in. by 7 in. by \(4\frac{1}{2}\) in.
The formula for the surface area of a rectangular box is:
Surface Area = 2lw + 2lh + 2wh
where l, w, and h are the length, width, and height of the box.
Given that the dimensions of the box are 15 in. by 7 in. by \(4\frac{1}{2}\) in., we have:
l = 15 in.
w = 7 in.
h = \(4\frac{1}{2}\) in. = 9/2 in.
Substituting these values into the formula, we get:
Surface Area = 2lw + 2lh + 2wh
Surface Area = 2(15)(7) + 2(15)(9/2) + 2(7)(9/2)
Surface Area = 210 + 135 + 63
Surface Area = 408
Therefore, the surface area of the box is 408 square inches.
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Use the Laws of logarithms to rewrite the expression
The expression log₃(x²∛y²) using the laws of logarithms is 2log₃(x) + 2/3log₃(y)
Rewriting the expression using the laws of logarithmsFrom the question, we have the following parameters that can be used in our computation:
log₃(x²∛y²)
The product law of logarithms states that
log(ab) = log(a) + log(b)
Using the above as a guide, we have the following:
log₃(x²∛y²) = log₃(x²) + log₃(∛y²)
The power law of logarithms states that
log(aᵇ) = blog(a)
Using the above as a guide, we have the following:
log₃(x²∛y²) = 2log₃(x) + 2/3log₃(y)
This means that the values of A and B are A = 2 and B = 2/3
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The equation, 3x2 + 6x + 3y2 + 7y + 4 = 0, represents a conic.
The conic represented by the equation is alan
v because
Answer:
Circle - A=C
Step-by-step explanation:
The equation is a circle because the ratio of \(x^2 \ and \ y^2\) must be equal,
Equation of a circleThe standard equation of a circle is expressed as \(x^2+y^2+2gx+2fy+C=0\)Given the equation of the circle \(3x^2 + 6x + 3y^2 + 7y + 4 = 0\)
Rearrange the equation
\(3x^2 + 6x + 3y^2 + 7y + 4 = 0\\ 3x^2 + 3y^2 + 6x +7y + 4 = 0\)
The equation is a circle because the ratio of \(x^2 \ and \ y^2\) must be equal,
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The road sign shown in the figure indicates the percent grade of a hill. This gives the slope of the road as the change in elevation per 100 horizontal ft. Given a 4% grade, write this as a slope in fractional form.
The slope in fractional form is given as follows: 4/100.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, the slope is of 4%, meaning that for each 100 ft of horizontal change, the vertical change is of 4 ft, hence the slope in fractional form is given as follows: 4/100.
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How to Factor 4n^3-49n
Answer:
n (2n-7) (2n+7)
Step-by-step explanation:
Fyi you can use the app photo math you just take a pic of the problem and it gives you the answer and explains the steps and it is free.
What is the meaning of "each partition P of X defines an equivalence relation on X"?
The statement indicates that when a set X is partitioned, each partition forms an parity relation by grouping together rudiments that are considered original within each subset, thereby creating distinct and non-overlapping subsets within the original setX.
The statement" each partition P of X defines an parity relation on X" means that when a set X is divided into non-overlapping subsets or partitions, each partition creates an parity relation on the original set X.
An parity relation is a relation that satisfies three parcels reflexivity, harmony, and transitivity. In the environment of partitions, when a set X is divided into subsets, each partition forms an parity relation by grouping together rudiments that partake a common characteristic or property.
Within each partition, the rudiments are considered original or affiliated to each other, and they're distinct from rudiments in other partitions. The meaning of" each partition P of X" refers to every possible way of dividing the set X intonon-overlapping subsets.
It implies that different partitions may live grounded on different criteria or conditions for grouping rudiments.
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A kennel charges $15 per day board dogs. Upon arrival, each dog must have a flea bath that costs $12.
Part A: Write a function rule for the total cost for n days of boarding plus a bath.
Part B: How much does a 10-day stay cost?
Part C: Does a 5-day stay cost half as much as a 10-day stay? Explain.
What I Think:
I think the function rule is C=15+12n.
10-day stay cost: 135
5-day stay: 75. No, a 5-day stay does not cost half as much as the 10-day stay.
Is this correct???
Your answer makes sense. Though I would recommend using a different variable for each dog at the kennel. Like D. But other than that you're good!
Elena receives $95 per year in simple interest from three investments totaling $2100 . Part is invested at 3%, part at 4%, and part at 5%. There is $1000 more invested at 5% than at 4%. Find the amount invested at each rate.
The amount invested at 3% is $
the amount invested at 4% is $
and the amount invested at 5% is $
The amount invested at 3% is $400, the amount invested at 4% is $700, and the amount invested at 5% is $1000.
Let's assume the amount invested at 4% is x dollars.
According to the given information, the amount invested at 5% is $1000 more than the amount invested at 4%.
So, the amount invested at 5% is (x + $1000).
The total amount invested is the sum of the amounts invested at each rate, which is $2100.
Therefore, we can write the equation:
x + (x + $1000) + (amount invested at 3%) = $2100
Now, we can calculate the amount invested at 3%.
We subtract the sum of the amounts invested at 4% and 5% from the total investment:
(amount invested at 3%) = $2100 - (x + x + $1000) = $2100 - (2x + $1000)
Given that Elena receives $95 per year in simple interest from the investments, we can use the formula for simple interest:
Simple Interest = Principal × Interest Rate
The interest earned from the investment at 3% is (amount invested at 3%) × 0.03, the interest earned from the investment at 4% is (amount invested at 4%) × 0.04, and the interest earned from the investment at 5% is (amount invested at 5%) × 0.05.
According to the problem, the total interest earned is $95.
So we can write the equation:
(amount invested at 3%) × 0.03 + (amount invested at 4%) × 0.04 + (amount invested at 5%) × 0.05 = $95
Now we can substitute the expression for (amount invested at 3%) and solve for x.
Once we have the value of x, we can calculate the amounts invested at 3%, 4%, and 5% using the given information.
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I am a rectangular prism.The area of my base is 35 sq. In. My height is 14 in.what is my volume?
Here's link to the answer:
tinyurl.com/wpazsebu
Ellen's greenhouse is in the shape of a hemisphere.The diameter of the floor is 18 feet.What is the allroxi are volume of the greenhouse?
Here, we want to get the volume of the greenhouse
In otherwords, we are told to get the volume of the hemisphere
Mathematically, we have this as;
\(V\text{ = }\frac{2}{3}\times\pi\times r^3^{}\)From the question, what we have is the diameter and what we need is the radius
The radius is half the diameter and that is;
18/2 = 9 feet
We substitute this into the volume formula;
\(V\text{ = }\frac{2}{3}\times\frac{22}{7}\times9^3\text{ = 1,527.43}\)Solve 6/7 = y - 3/7. WHAT IS Y?
Answer:
y = 9/7
Step-by-step explanation:
It is a rule of thumb that each person occupies 4.5 square feet - that is the unit rate of people per square foot is.4 people/sq ft. Busby
Berkley is putting on an extravaganza in which he will have 250 dancing, singing chorus girls.
Mr Berkley looks outside the theater and sees that the street is filled with people waiting to see his show. The size of the area is approximately 100 feet
by 50 feet. How many people are waiting to see the show?
A. 1,111
B. 5,111
C. 1,120
D. 111
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Quadrilateral ABCD ~ quadrilateral JKLM. What is the
length of LM?
Step-by-step explanation:
just ratio and need to identify which lines are pairs.
"What are the coordinates of your reflected triangle A’B’C’?"
Please help! Thank you!
A' - (-1,4)
B' - (-1,8)
C' - (-5,4)
hope this helps
1.54 creumference of the circle r=?
Answer:
r≈0.25
Step-by-step explanation:
C=2πr
Solving forr
r=C
2π=1.54
2·π≈0.2451
If 450 birds have to fit evenly into 18 enclosures, and there are 3 enclosures in each section of the zoo, how many birds are in each section of the zoo?
Help pls show work if needed
Use the moving and additivity principles to explain and she weighs why the next triangle has an area of 1/2 (b*h) Square units for the given choices of B and H. One! If it naturally with the expression b*(1/2h) and the other should fit naturally with the expression 1/2(b*h)
Answer: The given triangles have an area \(1/2\) × \(base\) × \(height\)
Step-by-step explanation:
The moving principle states that if you move a shape rigidly without stretching it the area does not change whereas the additivity principle states that if you combine different shapes without overlapping them then the area is the cumulative sum of each of the figures.
Since both, the principle will give out the same answers. the arrangement for the expression can be manipulated also.
For the first triangle applying the moving principle gives,
Area \(=\) \(b\) × \((\frac{1}{2}\) · \(h)\)
For the second triangle applying the additivity principle,
Area \(=\frac{1}{2}\) (\(b\) · \(h\))
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Let (1=1,2,3, 4, 5, 6, 7, 8, 9, 10
The list of elements in the sets are as follows:
A. A ∩ B = {2, 9}
B. B ∩ C = {2, 3}
C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D. B ∪ C = {2, 3, 5, 7, 9, 10}
How to find the elements in a set?Set are defined as the collection of objects whose elements are fixed and can not be changed.
Therefore,
universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 7, 8, 9}
B = {2, 3, 5, 9}
C = {2, 3, 7, 10}
Therefore,
A.
A ∩ B = {2, 9}
B.
B ∩ C = {2, 3}
C.
A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D.
B ∪ C = {2, 3, 5, 7, 9, 10}
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write the missing power of 10 in the exponential form…….*0.006=0.6
Answer:
10 to the second power
\(10^2\)Explanation:
Let the unknown value be x
The given expression can be rewritten as:
\(x\times0.006=0.6\)Express as a fraction;
\(\begin{gathered} x\times\frac{6}{1000}=\frac{6}{10} \\ \frac{6x}{1000}=\frac{6}{10} \\ \end{gathered}\)Cross multiply
\(\begin{gathered} 6x\times10=6\times1000 \\ 60x=6000 \\ x=\frac{6000}{60} \\ x=100 \\ x=10^2 \end{gathered}\)Hence the required unknown number in the exponential power of 10 is 10^2
It takes 3 gardeners 30 minutes to plant 18 trees. How many gardeners would it take to plant 45 trees in 45 minutes
Answer:
It will take 7.5 gardeners to plant 45 trees in 45 minutes
Step-by-step explanation:
It takes 3 gardeners 30 minutes to plant 18 trees.
Let's determine the rate of this 3 gardeners
Rate= 18 trees/30 minutes
Rate= 2/5 trees per minute
So 3 gardeners= 2/5 trees per minute
But then one Gardner= 2/(3*5) trees per minute
One Gardner=2/15 trees per minute
Let's determine the number of gardeners it will take to plant 45 trees in 45 minutes
One Gardner=2/15 trees per minute
X(22 /3)= 2/15*(22.5/3)
It will take 7.5 gardeners to plant 45 trees in 45 minutes
I am trying to perform an A/B test to see if two samples come from the same underlying distribution. My alternative hypothesis is that the samples do not come from the same underlying distribution. The _________ should be chosen as the test statistic. _________ _________ values of this statistic provide evidence in favor of the alternative hypothesis.
a. difference between the groups' averages, large absolute
b. total variation distance, large
c. difference between the groups' averages, large
the correct option is a. difference between the groups' averages, large absolute
I am trying to perform an A/B test to see if two samples come from the same underlying distribution. My alternative hypothesis is that the samples do not come from the same underlying distribution. The difference between the groups should be chosen as the test statistic averages large absolute values of this statistic provide evidence in favor of the alternative hypothesis.
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Decide whether the rates are equivalent. Maria saves $50 in 4 months.
Ralph saves $60 in 5 months
Answer:
The rates are not equivalent since Maria saves $0.50 more per month than Ralph.
Step-by-step explanation:
We can determine if two rates are equivalent by comparing the rates at which they save per month.
Maria's savings per month:
Both 50 and 4 can be divided by 2, which gives us 25/2. As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.
Ralph's savings per month:
Both 60 and 5 can be divided by 5, which gives us 12. Thus, Ralph saves $12 per month.
Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.
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Answer:
147
Step-by-step explanation:
Supplementary angles add to 180 total.
x + y = 180
x + 33 = 180
x = 147
Деление с остатком на 10, 100, 1 000
Реши задачу.
На каждую флешку нужно загрузить по 100 файлов. Сколько понадобится флешек, чтобы загрузить 187 650 файлов (флешки должны быть загружены полностью)? Сколько файлов останется незагруженными?
Ответ:флешек, останетсяфайлов.
Назад
Проверить
Деление с остатком на 10, 100, 1 000
Реши задачу.
На каждую флешку нужно загрузить по 100 файлов. Сколько понадобится флешек, чтобы загрузить 187 650 файлов (флешки должны быть загружены полностью)? Сколько файлов останется незагруженными?
Ответ:флешек, останетсяфайлов.
Назад
Проверить
Answer:
извините, я не могу вам помочь, я не понимаю, я говорю по-английски, а не по-русски, поэтому я действительно не знаю, как вам помочь
Step-by-step explanation:
Which expression would be easier to simplify if you used the associative property to change the grouping? O A. (27 + 4.5) + 1.5 OB. ++(-) O C. - + [(-) + (-) O D. 14+ (20 + 80)
Answer:
the answer is D
Step-by-step explanation:
Answer:
The answer is D if you look hard enough and think hard enough you will find the answer as well
What is the midpoint of WY?
Answer:
The mid point of XY should be -0.5
Step-by-step explanation:
I don't know if that's what you want
I hope I helped ¯\_(ツ)_/¯