please help im on a time limit!

8 is not a perfect number as sum of its proper divisors is not equal to 8.

A perfect number is a positive integer that is equal to the sum of its proper divisors, which are the divisors of the number excluding the number itself. In other words, a perfect number is a number that can be written as the sum of its divisors, excluding itself.

For example, the number 6 is a perfect number because its divisors are 1, 2, and 3, and 1+2+3 = 6.

8 is not a perfect number because it is not equal to the sum of its proper divisors. The divisors of 8 are 1, 2, 4, and 8, and 1+2+4 = 7, which is less than 8.

Therefore, 8 is not a perfect number. To this date, only 49 known perfect numbers have been found, they are all even numbers and the largest known perfect number is 2^(74,207,281) − 1, it has over 22 million digits.

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The one time investment of $1000 would worth $10285.72  after 40 years at 6% rate of return

What is annual compounding?

Annual compounding means that the number of times interest is compounded annually is once, compared to semiannual compounding where the interest on the investment is calculated twice a year.

The worth of the investment after 40 years means its future value after having invested $1000 for 40 years using the below formula for future value of a single cash flow:

FV=PV*(1+r)^N

FV=future worth of investment=unknown

PV=initial investment=$1000

r=rate of return=6%

N=number of years of investment=40

FV=$1000*(1+6%)^40

FV=$1000*1.06^40

FV=$1000* 10.2857179371259

FV=$10285.72

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A one time investment of $1000 when invested at 6% for 40 years compounded annually will be $10285.72.

To calculate the amount a $1000 investment will be when invested at 6% for 40 years compounded annually, we use the formula below

Formula:

⇒ Where:

From the question,

⇒ Given:

⇒ Substitute these values into equation 1

Hence, a one time investment of $1000 when invested at 6% for 40 years compounded annually will be $10285.72.

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Answer:

The answer is B

Answer:

y=3x‒2

Step-by-step explanation:

y=3x‒2 in this equation slope is 3 cause slope is the number that is a coefficient of x.

&also the y-intercept of the equation is ‒2. y=3(0)‒2

y=0‒2=‒2

cause to find y-intercept is to substite 0 instead of x &to solve

i think &i hope the answer is clear

Answer:

y=3x-2

hope this helps mark me brainlyest

Answer:

243 students' favorite color is red

Step-by-step explanation:

if 55% of the students said their favorite color was blue, then 45% chose that red was their favorite color

we can get 45% of 540 using a cross-multiplication equation

45% is 45/100

45/100 is to ?/540

the (?) represents the value of students who chose red as their favorite color (we do not know this but we can figure it out using cross-multiplication)

45 times 540 is 24300

24300/100 = 243.

Give brainliest, please!

hope this helps :)

Answer: y=3x+1

Step-by-step explanation:

3x+y-1=0

3x+y-1+1=0+1

3x+y=1

3x-3x+y=1-3x

y=3x-1

When lines are parallel they have the same slope.

y=3x+b

4=3(1)+b

4=3+b

4-3=3-3+b

1=b

The formula is y=3x+1

Answer:

can show the full question i can't understand

Answer:

do what?? there nothing showing

The graph of the given functions is (see in attachments).

From the question, we have

g(x) = 0.44√3.2x−4.1

Graph:

A graph is an organized visual representation of any data in mathematics. The relationship between the variable quantities is depicted on the graph. In a graph theory, the set of items that are somehow connected to one another is represented by a graph. The vertices or nodes of the objects are essentially mathematical notions, and the edges between the nodes represent the relationships between the nodes. In mathematics and statistics, there are various types of graphs that are used to visually display data. The study of points and lines is known as graph theory. It is a branch of mathematics that focuses on the investigation of graphs. The mathematical truth is shown visually in this picture. Relationships are studied using graph theory.

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Answer:

y ÷ 4 ≥ 22

Step-by-step explanation:

I can't find the greater than symbol, but just write the "≥" without the line underneath

Answer:

44

Step-by-step explanation:

Let the number be X

B/P,

X/4=22  Or, X=22*4

X=88

X/2=88/2=44

So the quotient of the number when divided by 2 is 44.

Hope it help and if it its correct please give brainliest

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Thank You

Answer: 156,000 is the right answer.

Step-by-step explanation:

Using the Fundamental Counting Theorem, it is found that 156,000 possibilities are there, and option c is correct.

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In this problem:

Thus, the number of possibilities is given by:

N = 26 x 25 x 24 x 10 = 156,000.

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Answer:

Step-by-step explanation:

There is no equation for the ellipse with foci (1, 1) and (-1, -1) and a major axis of length 4.

To find the equation of the ellipse with foci (1, 1) and (-1, -1) and a major axis of length 4, we can use the properties of ellipses.

The major axis is the line segment connecting the two foci, which in this case has a length of 4.

Since the foci are (1, 1) and (-1, -1), the distance between them is 2a = 4, where "a" represents the semi-major axis.

Therefore, the value of "a" is 2.

The distance between each focus and the center of the ellipse is "c". Since the foci are (1, 1) and (-1, -1), the distance between each focus and the center is c = √[\((1 - (-1))^2 + (1 - (-1))^2\)] = √8

Now, we can use the formula for the equation of an ellipse centered at the origin:

\(x^2/a^2 + y^2/b^2 = 1\)

where "a" is the semi-major axis and "b" is the semi-minor axis.

Since the semi-major axis "a" is 2, we have:

\(x^2/2^2 + y^2/b^2 = 1\)

To find the value of "b", we can use the relationship between "a", "b", and "c" in an ellipse, which is given by the equation \(a^2 = b^2 + c^2\).

Plugging in the values, we get:

\(2^2 = b^2 + (\sqrt8)^2\\ 4 = b^2 + 8\\ b^2 = 4 - 8\\ b^2 = -4\)

Since we cannot have a negative value for "\(b^2\)" in this case, it means that there is no real solution for "b".

This indicates that the given parameters do not form a valid ellipse.

Therefore, there is no equation for the ellipse with foci (1, 1) and (-1, -1) and a major axis of length 4.

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To derive the expression for the Marginal Utility (MU) of each good in the given utility functions, we need to take the partial derivatives of the utility functions with respect to each good. Let's calculate the MU for each good in the first three utility functions:

1. Utility function U1(x1,x2) = (x1 + 4x2)^2:

To find the MU of x1, we differentiate U1 with respect to x1 while treating x2 as a constant:
MU1(x1,x2) = 2(x1 + 4x2) * 1 = 2(x1 + 4x2)

To find the MU of x2, we differentiate U1 with respect to x2 while treating x1 as a constant:
MU2(x1,x2) = 2(x1 + 4x2) * 4 = 8(x1 + 4x2)

2. Utility function U2(x1,x2) = 5x1^3 * x2^4:

To find the MU of x1, we differentiate U2 with respect to x1 while treating x2 as a constant:
MU1(x1,x2) = 15x1^2 * x2^4

To find the MU of x2, we differentiate U2 with respect to x2 while treating x1 as a constant:
MU2(x1,x2) = 20x1^3 * x2^3

3. Utility function U3(x1,x2) = x1 * (x2 + 2):

To find the MU of x1, we differentiate U3 with respect to x1 while treating x2 as a constant:
MU1(x1,x2) = x2 + 2

To find the MU of x2, we differentiate U3 with respect to x2 while treating x1 as a constant:
MU2(x1,x2) = x1

Next, let's compute the Marginal Rate of Substitution (MRS) at the bundle (2,4) for each utility function. MRS measures the rate at which a consumer is willing to substitute one good for another while maintaining the same level of utility.

1. Utility function U1(x1,x2) = (x1 + 4x2)^2:

The MRS is given by the ratio of the marginal utilities:
MRS(x1,x2) = MU1(x1,x2) / MU2(x1,x2)

Substituting the values x1 = 2 and x2 = 4 into the expressions for MU1 and MU2 derived earlier, we get:
MRS(2,4) = [2(2 + 4(4))] / [8(2 + 4(4))]

Simplifying the expression, we have:
MRS(2,4) = 12 / 48 = 1/4

2. Utility function U2(x1,x2) = 5x1^3 * x2^4:

Similarly, the MRS is given by the ratio of the marginal utilities:
MRS(x1,x2) = MU1(x1,x2) / MU2(x1,x2)

Substituting the values x1 = 2 and x2 = 4 into the expressions for MU1 and MU2 derived earlier, we get:
MRS(2,4) = (15(2^2)(4^4)) / (20(2^3)(4^3))

Simplifying the expression, we have:
MRS(2,4) = 960 / 1280 = 3/4

3. Utility function U3(x1,x2) = x1 * (x2 + 2):

The MRS is given by the ratio of the marginal utilities:
MRS(x1,x2) = MU1(x1,x2) / MU2(x1,x2)

Substituting the values x1 = 2 and x2 = 4 into the expressions for MU1 and MU2 derived earlier, we get:
MRS(2,4) = (4 + 2) / 2 = 3/2

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Answer:

b) 12.6 inches

Step-by-step explanation:

tangent is the ratio of the side opposite over adjacent, so if we let x= length of the opposite side, 1.40=x/9, x=12.6 inches

b) 12.6 inches

Hope it helps!!

The equation is number of muffins left = 34 - 17 And the solution is number of muffins left = 17

Let's define the variables:

M = Number of muffins Mary baked originally (34 muffins)

G = Number of muffins given to her neighbour (17 muffins)

The equation that represents the number of muffins Mary had left after giving some to her neighbour is:

Number of muffins left = Original number of muffins - Number of muffins given

M - G

Substitute the values:

Number of muffins left = 34 - 17

Solving this equation:

Number of muffins left = 17

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The required answer is the nearest hundredth, this is 83.34 cm^2.

To find the area of the sector  of the circle with a central angle of 195° and radius of 7 cm,, we first need to find the fraction of the circle's total area that the sector covers. Since the central angle of the sector is 195° and there are 360° in a full circle, we can find this fraction by dividing 195 by 360:

195° ÷ 360° = 0.542

So the sector covers about 54.2% of the circle's total area. To find the actual area of the sector, we can multiply this fraction by the area of the whole circle, which is πr^2. Plugging in the given values, we get:

Area of sector = 0.542 × π × 7^2
Area of sector ≈ 83.34 cm^2

Therefore, the area of the sector of the circle with central angle of 195° and radius of 7 cm is approximately 83.34 cm^2. Rounded to the nearest hundredth, this is 83.34 cm^2.

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Step-by-step explanation:

the middle one has to be the same for both part ratios.

the best here is to bring the ratio element of B in the first part ratio to 10. we need to double the B element there

for that (as a ratio is a fraction) we also have to adapt the A element in the same way.

so, we get

4×2 : 5×2 : 9 =

= 8 : 10 : 9

and that is also shown in the graphic.

Answer:

X:Y:Z= 8:10:9

Step-by-step explanation:

Let x be the number of students in class A

Let y be the number of students in class B

Let z be the number of students in class C

x:y = 4:5

y:z= 10: 9

x:y:z = ?

Find the LCM of the y terms (5 and 10 ) which is 10

Divide 10 by the first y term (5) = 2

Divide 10 by the second y term(10) = 1

X: y = (4 x 2) :(5 x 2)= 8:10

y:z =(10 x 1) : (9:1)= 10:9

x:y:z= 8:10:9

Answer:

10+0.20y=10.2

Step-by-step explanation:

Step-by-step explanation:

First, we need to find the actual dimensions of the rectangle in centimeters by converting meters to centimeters and multiplying:

Length = 12m = 1200cm

Width = 16m = 1600cm

Next, we need to find the dimensions of the rectangle on the blueprint. Since the scale is 1:80, we can divide the actual dimensions by 80 to get the blueprint dimensions:

Length on blueprint = 1200cm ÷ 80 = 15cm

Width on blueprint = 1600cm ÷ 80 = 20cm

Finally, we can calculate the area of the rectangle on the blueprint by multiplying the length and width:

Area on blueprint = 15cm x 20cm = 300cm²

Therefore, the answer is A. 300cm².

Answer is in the photo attached. Hope this helped!

The number of orange skittles in the bag is 32.

Ratio is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We are given that;

The ratio of purple skittles to orange skittles= 5:2

Total skittles= 112

Now,

Let's call the number of purple skittles in the bag "5x" and the number of orange skittles in the bag "2x", where x is a common factor.

We know that the total number of skittles in the bag is 112. So we can write:

5x + 2x = 112

Simplifying, we get:

7x = 112

Dividing both sides by 7, we get:

x = 16

Now we can find the number of orange skittles by substituting x = 16 into our expression for the number of orange skittles:

2x = 2(16) = 32

Therefore, by the given ratio answer will be 32 orange skittles in the bag.

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Answer:

The possible zeros/roots of the polynomial are

\(x = 0\\x=-\sqrt{3} \\ x=\sqrt{3}\)

Step-by-step explanation:

\(h(x)=5x^3 - 5x - 10x\)

\(h(x)=5x^3 -15x\)

\(h(x)=5x(x^2 -3)\)

When \(y= 0\)

\(0=5x(x^2 -3)\)

\(5x = 0 \implies x = 0\)

\(x^2 - 3 = 0 \implies x=\pm\sqrt{3}\)

Answer:

Option (3)

Step-by-step explanation:

Given polynomial is (x³ - 2x² - 13x - 10).

If (x - 5) is a factor of the given polynomial, other factors can be found by the synthetic division.

5) 1      -2     -13      -10

  -       5       15      10

   1       3       2         0

Therefore, other factor of the given polynomial will be (x² + 3x + 2)

And the factored form of the polynomial will be,

(x - 5)(x² + 3x + 2)

Option (3) will be the answer.

The negative binomial, geometric, and Poisson distributions do not have a specified maximum value of X.

In the negative binomial distribution, X represents the number of trials needed to achieve a fixed number of successes. The number of trials can vary indefinitely, so there is no maximum value for X.

Similarly, in the geometric distribution, X represents the number of trials needed to achieve the first success. Since the number of trials can continue indefinitely until the first success occurs, there is no predetermined maximum value for X.

The Poisson distribution models the number of events occurring in a fixed interval of time or space. The number of events can be arbitrarily large, and thus there is no specific maximum value for X.

On the other hand, the binomial and hypergeometric distributions have a fixed number of trials or population size, respectively, which defines the maximum value of X. In these distributions, X represents the number of successes within the specified constraints.

Therefore, the negative binomial, geometric, and Poisson distributions do not have a specified maximum value of X, making them distinct from the binomial and hypergeometric distributions.

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the answer are: rigid transformations, then the polygons are congruent

Answer: h(-1) is -3.

Step-by-step explanation: Given that the input of the function is -1, we can subsitute that for x.

2(-1) - 1

= -2 - 1

= -3.

Answer:

h (-1)  

  -3

Step-by-step explanation:

h (-1) = 2 (-1) - 1

simplify 2.. (-1) - 1

answer= -3

The set of numbers that could represent the sides of a triangle is

{ 11, 17, 26 }.

Option E is the correct answer.

We have,

To determine whether a set of three numbers can represent the sides of a triangle, we need to check if the sum of the two shorter sides is greater than the longest side.

This is known as the Triangle Inequality Theorem.

So,

{ 7, 10, 18 }:

7 + 10 = 17, which is less than 18.

Therefore, this set cannot represent the sides of a triangle.

{ 6, 19, 25 }:

6 + 19 = 25, which is equal to 25.

Therefore, this set cannot represent the sides of a triangle.

{ 11, 17, 26 }:

11 + 17 = 28, which is greater than 26. 17 + 26 = 43, which is greater than 11. Therefore, this set can represent the sides of a triangle.

{ 8, 16, 24 }:

8 + 16 = 24, which is equal to 24.

Therefore, this set cannot represent the sides of a triangle.

Thus,

The set of numbers that could represent the sides of a triangle is

{ 11, 17, 26 }.

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Answer:a) 20+0.8c B) 0.8x109 C)120/0.8

Step-by-step explanation:

Plz brainliest I am almost an expert

An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.

Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.

In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.

To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.

In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.

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The width of the rectangle is 7.2 cm because if you divide 93.6 cm by 13 cm you will get 7.2 cm.

Brainliest please that would be nice of you(: