round 224.91 to the nearest whole number

Answer:

The common factor of all the terms of the polynomial 16x² - 14x is:

2x

Step-by-step explanation:

We are given a polynomial:

16x²-14x

We have to find the common factor of all terms.

First we factorize each term separately and then see the common factor.

16x²=2×2×2×2×x×x

14x=2×7×x

We observe that the common factor is:

2x

Hence,  the common factor of all the terms of the polynomial 16x² - 14x is:

2x

Answer:

2x

Step-by-step explanation:

16 = 2^4

14 = 2 × 7

Common factor of 16 and 14 is 2.

x² = x × x

x = x

Common factor of x² and x is x

The common factor of the two terms is 2x.

By applying standard deviation concept, it can be concluded that all the students had the same score.

The mean is the average of all the scores. It is calculated by adding up all the scores and dividing them by the number of scores.

The standard deviation is a measure of how spread out the scores are. It is calculated by finding the difference between each score and the mean, squaring those differences, finding the average of those squared differences, and then taking the square root of that average.

If all the scores are the same, then the difference between each score and the mean will be 0. This means that the standard deviation will also be 0. Therefore, the correct answer is "all the students had the same score."

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There are a total of binom n2 binom n-21 + binom n3 possible committees with at least 2 secretaries.

Assume that there are n total secretaries employed by the business.

Either we can select 2 secretaries and 1 non-secretary member, or we can select all 3 members to be secretaries in order to form a committee with at least 2 secretaries.

Out of n, there are binom n2 ways to select two secretaries, and binom n-21 ways to select a non-secretary member from the remaining n-2 non-secretaries.

This means that there are binom n ways to form a committee with 2 secretaries and 1 non-secretary member.

There are binom ways to select each of the three members to serve as a secretary.

There are a total of binom n2 binom n-21 + binom n3 possible committees with at least 2 secretaries.

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The answer in fractions is 59/100

When a statistic is given as a percentage, we assume that the sample size of the survey is

100

persons.

So, in the aforementioned question, we simply need to express the percentage as a fraction where the

numerator

represents the number of people who are in favor of the argument that their teens are addicted to cell phones which is

59

the denominator of the fraction represents the total number of people in the sample survey size which is

100.

simply using the above logic we can deduce the percentage into a fraction which is

59/100

.

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Answer:

Step-by-step explanation:

The function P(x) representing Ayden's total pay on a day on which  he sell x dollar worth of computers is P(x) = 0.01x + 90

The base pay amount of Ayden per regardless of sales = $90

The commission of Ayden = 1% of the dollar amount of sales

Consider the total sales amount in a day as x

The function is the mathematical expression that shows the relationship between one variable and another variable. If one variable is dependent variable then the other variable will be independent variable.

Then the function will be

P(x) = 1% of x + 90

= 0.01x + 90

Therefore, the equation for the function P(x) = 0.01x + 90

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The value of c in the given question is 77.5.

When something can be seen as a gauge of how important something is to a person or organization, it is frequently seen as a reflection of one's worldview and can help to shape attitudes, decisions, and behaviors. Value is a subjective concept that refers to the word of importance that an individual group of people places on something. It is frequently associated with fundamental beliefs and standards that are accepted by society. Depending on the context of the commands, believe is a relative concept.

The Triangle Angle Sum Theorem, which asserts that the sum of the angles in a triangle equals 180°, must be applied in order to find x. Segment AD cuts angle BAC in half, hence the two angles must be equivalent. In order to solve for x, we can build up the following equation:

180° = angle BAC = (x + 7) + (x + 18)

We can solve this equation by combining like terms and isolating the variable x.

180° = 2c + 25

2c = 155

C = 77.5

Therefore, the value of C is 77.5.

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Answer: If there is a proportional relationship between the number of pitchers of lemonade Karen wants to make, x, and the number of lemons she needs, y, and the equation modeling this relationship is y = 5x, then we can find the number of pitchers Karen can make with 15 lemons by solving for x:

15 = 5x

Dividing both sides by 5:

3 = x

So Karen can make 3 pitchers of lemonade with 15 lemons.

Step-by-step explanation:

The difference in height between Sarah and Tayjen kite is 1060 cm (10.6 m)

An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.

1 m = 100 cm

Sara's kite flew 48 meters in the air. Hence:

Height of Sarah kite = 48 m = 48 m * 100 cm per m = 4800 cm

Tayjen's kite flew 5,860 centimeters in the air. Therefore:

Difference in height = 5860 - 4800 = 1060 cm = 1060 cm * 1 m per 100 cm = 10.6 m

The difference in height is 1060 cm (10.6 m)

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The reliability of the machine can be estimated to be 0.9833, calculated as (1000 - 1) / 1000 + (600 - 5) / 600.  we can take the average of the two reliability estimates, giving us a reliability of 0.9833.

The reliability of a machine can be estimated by taking the ratio of machines that did not fail to the total number of machines operated in a given period. In this case, the reliability of the machine from Factory A can be estimated to be 0.99 (1000 - 1 / 1000). The reliability of the machine from Factory B can be estimated to be 0.9833 (600 - 5 / 600). To estimate the reliability of the machine based on both factories, we can take the average of the two reliability estimates, giving us a reliability of 0.9833.

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The relation does not relate y as a function of x because point (2,2) and (3,2) have the same y value. Hence, option 2 is the correct answer.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

We know that a function is a relationship between inputs where each input is related to exactly one output.

In the given graph (2,2) and (3,2) have the same y value that is two inputs have same output.

Hence, the relation does not relate y as a function of x because point (2,2) and (3,2) have the same y value and option 2 is the correct answer.

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At a total price of $2720 for 4 Computers, retailer 2 delivers the best deal based on the listed specials.

Based on the stated sales, we need to figure out the entire cost of 4 computers at each retailer, accounting for any discounts or promotions, in order to determine which store will provide the lowest pricing for 4 Computers.

Let's use the following variables to symbolize the costs and special offers at each retailer:

P1: the price of a single computer in a store 1

P2: the price of a single computer in a store 2

P3: the price of a single computer in a store 3

P4: the price of a single computer in a store 4

D1: discount on one computer at store 1

D2: discount on one computer at store 2

D3: discount on one computer at store 3

D4: discount on one computer at store 4

Then, we may figure the total cost of four computers at each store using the following formulas:

Total cost at store 1 = 4(P1 - D1)

Total cost at store 2 = 4(P2 - D2)

Total cost at store 3 = 4(P3 - D3)

Total cost at store 4 = 4(P4 - D4)

The total cost at each store can then be calculated by plugging in the values from the table as follows:

Store 1: Total cost = 4(950 - 0.2*950) = 3040

Store 2: Total cost = 4(800 - 0.15*800) = 2720

Store 3: Total cost = 4(1100 - 0.25*1100) = 3300

Store 4: Total cost = 4(850 - 0.1*850) = 3060

Therefore, At a total price of $2720 for 4 Computers, retailer 2 delivers the best deal based on the listed specials.

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[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

According to given information ~

[tex]\qquad \sf  \dashrightarrow \: g(x) = 11(1.2) {}^{x} [/tex]

if x = 1;

[tex]\qquad \sf  \dashrightarrow \:g(1) = 11(1.2)[/tex]

[tex]\qquad \sf  \dashrightarrow \:g(1) = 11(1 + 0.2)[/tex]

[tex]\qquad \sf  \dashrightarrow \:g(1) = 11 + (0.2 \times 11)[/tex]

[tex]\qquad \sf  \dashrightarrow \:g(1) = 11 + ( \frac{20}{100} \times 11)[/tex]

[tex]\qquad \sf  \dashrightarrow \:g(1) = 11 + ( {20}\% \: \: of \: \: 11)[/tex]

So, there's an increase of 20% in insect population each month.

Answer:

C

Step-by-step explanation:

This would represent the point (0,3)  You would move 5 units to the right of where x is 5.

Answer:

65

Step-by-step explanation:

X=55

55+10=65

so

X+10=65

I hope that's what you meant.

Answer:

Step-by-step explanation:

is this a bot or girl

Answer:

just use the properties of the figure for rxample in number 3 they are equal as the oppositevangle are equal

The above expression in terms of 8n can be written as 8(0).

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression.

We are given a an expression (8-8)(8³)

Now the first bracket after simplifying we get an answer is 0.

Hence the expression can be given in the form of 8(n) as 8(0)

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Answer:

Area = 91 square inches

Step-by-step explanation:

Let

L = length of the rectangle in inches

W = width of rectangle in inches

We are given:
The length of a rectangle is one inch less than twice the width

In math terms this is equivalent to:
L = 2W - 1

he perimeter of the rectangle is 40 in.
The perimeter of the rectangle = 2(L+ W)

So in math terms;
2(L + W) = 40

L + W = 40/2

L + W = 20

Since L = 2W - 1 we can substitute for L in terms of W in the above equation:
L + W = 2W - 1 + W = 3W - 1

Equating it to 20 gives
3W - 1 = 20

Add 1 both sides:
3W = 21

W = 7

Which gives

L = 2W - 1 = 2(7) - 1 = 14 - 1 = 13

So L = 13

The area of the rectangle = L x W

= 13 x 7

= 91 square inches

Function g(x) is function f(x) translated 3 units to the left and 2 units down.

Here we know that the function f(x) = (x − 2)³ is transformed to g(x) = (x + 1)³ − 2.

Remember that:

A vertical translation of N units is written as:

g(x) =f(x) + N

if N > 0, the translation is up.

If N < 0, the translation is down.

A horizontal translation of N units is written as:

g(x) =f(x) + N

if N > 0, the translation is left.

If N < 0, the translation is right.

Here we can see that:

g(x) = f(x + 3) - 2

Then we have a translation of 3 units to the right and 2 units downñ.

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Answer:

k is 2.5.

Step-by-step explanation:

To find the value of k, we can use the information given about points A and B to find the value of the parameters a and b. Since we know that the curve passes through A (1, 10) and B (4, 80), we can substitute these points into the equation y = ab^x to find the values of a and b.

Starting with point A:

10 = a * b^1

Next, using point B:

80 = a * b^4

We can now use these two equations to find the value of b:

10 = a * b^1

80 = a * b^4

Dividing the second equation by the first equation:

8 = b^3

Taking the cube root of both sides:

b = 2

We can now use either of the two equations to find the value of a:

10 = a * b^1

a = 10/2 = 5

Now that we have found the values of a and b, we can substitute the point C (-1, k) into the equation y = ab^x to find the value of k:

k = 5 * 2^(-1) = 5 * (1/2) = 2.5

So the value of k is 2.5.

Answer:

y = 3x + 10

Step-by-step explanation:

slope intercept form​ is y = mx + b

y - 4 = 3(x+2)

y - 4 = 3x + 6

y = 3x + 10

So, the answer is y = 3x + 10

The number of possible combinations are 12.

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.

Given that, Esther can choose a 2 or 4 door car with leather or cloth interiors in black, silver, or white.

Now, C(3, 1)×C(2, 1)×C(2, 1)

= 3×2×2

= 12

Therefore, the number of possible combinations are 12.

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"Your question is incomplete, probably the complete question/missing part is:"

When buying a car, Esther can choose a 2 or 4 door car with leather or cloth interiors in black, silver, or white. How many possible combinations of her car selection?

No, f(x, y) = 3x - 3y^2 is not a harmonic function.

A harmonic function is a twice continuously differentiable function f(x, y) that satisfies the Laplace equation:
                                                                            ∂²f/∂x² + ∂²f/∂y² = 0.

Let's check if f(x, y) = 3x - 3y^2 satisfies the Laplace equation:
∂²f/∂x² = ∂/∂x(3) = 0
∂²f/∂y² = ∂/∂y(-6y) = -6
∂²f/∂x² + ∂²f/∂y² = 0 + (-6) = -6 ≠ 0

Since the Laplace equation is not satisfied, f(x, y) = 3x - 3y^2 is not a harmonic function.

As for finding a corresponding analytic function, an analytic function is a function that is locally given by a convergent power series. Since f(x, y) is not a harmonic function, there is no corresponding analytic function.

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a) The probability that the second person chosen is also a boy is; 13/28

b) The probability that both students chosen are girls is; 5/18

The parameters given in the question are;

Total number of students in the class = 28 students

Number of boys in class = 13 students

Number of girls = 28 - 13 = 15 students

a) Probability of the first student being selected as a boy is;

P(First is boy) = 13/28

b) The probability that both students chosen are girls is;

P(both girls) = (15/28) * (14/27) = 5/18

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The required value of y is 8/12 and the sequence is given as 1/2, 7/12, 8/12, 3/4.

Arithmetic progression is the series of numbers that have common differences between adjacent values

Here,
Let the common difference between the values be d = 1/12
Now

Since x in the second term
x = 1/2 + (2- 1 )1/12
x = 7/12

Since y is the third term
So,
y = 1/2 + (3 - 1)d
y = 1/2 + 2/12
y = 1/2 + 1/6
y = 6 + 2/12
y = 8/12

Thus, the required value of y is 8/12 and the sequence is given as 1/2, 7/12, 8/12, 3/4.

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Answer:

OD 52020 cubic inches

Step-by-step explanation:

15.0×24.0=360

=360×8.5=3060

3060 inches×17 boxes=52020 inches

Therefore;52020 cubic inches storage space is needed for the crayons

The area of the Taj Mahal is 9092.16 square meters (97,890.56 square feet).

The quantity of square units required to completely cover a square is known as the area of a square. The territory that lies inside the confines of a flat item or a two-dimensional figure is generally referred to as the area. The measurement is made using square units, with square meters serving as the standard unit.

The Taj Mahal has an area of 9092.16 square meters (97,890.56 square feet). We utilise the formula for calculating the area of a square, which is length x width. The Taj Mahal's length and width are both 95.4 metres, therefore we just multiply these two values together. 9092.16 square meters = 95.4 × 95.4 square meters (97,890.56 square feet). This is the Taj Mahal's area.

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