Evaluate the limit limx approches 0 x square+ x over x

The outliers in a set of data is the maximum value 41.6.

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Median represents the middle value of the given data when arranged in a particular order.

Given that Minimum: 1

Q1: 5

Median: 19.45

Q3: 31.5

Max: 41.6

Range = Maximum - minimum

Range =41.6 -1

= 40.6

Since Mean not including the outlier.

The outliers in a set of data is 41.6.

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The value of y from x= 0 to x = 3 is: y = 5(2)⁰ = 5, y = 5(2)¹ = 10, y = 5(2)² = 20, y = 5(2)³ = 40. The most rapid rate of change is: y = 7ˣ. The constant 1.20 is greater than 1 thus, the function is exponential growth.

The formula for an exponential function is f (x) = axe, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

The given function is:

y = 5(2)ˣ

The value of y from x= 0 to x = 3 is:

y = 5(2)⁰ = 5

y = 5(2)¹ = 10

y = 5(2)² = 20

y = 5(2)³ = 40

The most rapid rate of change as x increases beyond 0 is:

y = 7ˣ

This is observed as the graph increases rapidly with change in value of x.

3. y = (1.20)ˣ

The constant 1.20 is greater than 1 thus, the function is exponential growth.

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Answer:

x[tex]\geq[/tex] 3

Step-by-step explanation:

-4x -2 ≤ -14
-4x ≤ -12
x ≥ 3

The next step in the solution to this equation is to evaluate the exponents

From the question, we have the following parameters that can be used in our computation:

The steps 1 to 4

Using the above as a guide, we have the following:

Step 4: (3x - 11)² =(√4x)²

At this point,, we open the bracket

This is done by evaluating the exponents

So, we have

9x² - 66x + 121 = 4x

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The area of the shaded region is 20 square units for the given rectangle frame.

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

Dimensions of the inside rectangle, are as follows:

Length L₁ = 5 units

Width W₁ = 3 units

Since the frame is 2 units wide,

So, the dimensions of the outside rectangle, are as follows:

Length L₂ = 5 + 2 = 7 units

Width W₂ = 3 + 2 = 5 units

The area of the shaded region = area of the outside rectangle - area of the inside rectangle

The area of the shaded region = L₂ x W₂ - L₁ x W₁

The area of the shaded region = 7 x 5 -  5 x 3

The area of the shaded region = 35 - 15

The area of the shaded region = 20 square units

Thus, the area of the shaded region is 20 square units.

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The question seems incomplete, the missing figure is attached below.

The order of the numbers from greatest to least are 3.406 > 305 / 100 > 99 × 1/100

Descending order refers to the arrangements of numbers from the greatest to the least.

On the other hand, ascending order is the arrangement of numbers from the least to the greatest.

3.406

305 / 100

= 3.05

99 X 1/100

= 99 × 0.01

= 0.99

Therefore, the arrangements from greatest to least is 3.406, 305 / 100, 99 × 1/100

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The number of ways 3 man and 3 woman line up at the counter in a store is 720 ways.

Factorials is defined as the mathematical expression that is the product of the given number down to 1. It is denoted with the symbol n! which means that is n is given as 4, then it's factorial would be = 4×3×2×1 = 24.

Given that, three men and three women line up at a checkout counter in a store.

a) Number of ways = 6!

= 6×5×4×3×2×1

= 720 ways

b) The first person in line is a woman, and then the line alternates by gender that is a woman, a man, a woman, a man, a woman, a man, and so on

There are 3 number of ways for woman standing in the odd position and for men standing in the even position.

So, number of ways = 3!×3!

= 3×2×1×3×2×1

= 36 ways

c) There are 3 men and 3 women.

Probability first is a woman is 3/6

Probability second is a man is 3/5

Probability third is a woman is 2/4

Probability fourth is a man is 2/3

Probability fifth is a woman is 1/2

Probability sixth is a man is 1/1

Multiply all these probabilities together and you get:

3/6 × 3/5 × 2/4 × 2/3 × 1/2 × 1/1 = 0.05

Therefore, the number of ways 3 man and 3 woman line up if the first person in line is a woman, and then the line alternates by gender that is a woman is 36 ways.

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Answer:

The correct answer is:

e = 0.25 t + 1.75 .

The value of CD is 9.92 cm

Given:

Find: CD

Triangle ABC is an isosceles triangle with base AB, because AC = BC. In isosceles triangle angles adjacent to the base are congruent. So,

m<A = <mB = 72°

The sum of the measures of all interior angles is 180°, thus

m<C =  180° -72° - 72° = 36°

The area of the triangle ABC is

AABC= 1/2AC.BC.sin<C

If we expand,

AC = 10.43cm

Consider right triangle ACD. In this triangle,

sin <A = CD/AC

sin 72° = CD/10.43

therefore,

CD = 9.92 cm.

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Given: ∆ABC, CD ⊥ AB, AC = BC, Area of ABC = 32 cm2, m∠A = 72°

Find: CD

Answer:Robert

Step-by-step explanation: 42/48 = 0.875,
43/50 = 0.86

0.875 > 0.86

The average rate of change over each specified interval is 8/3 and -10.

The average rate shows the change in the function per unit, over an interval.

Given that, find the average rate of change over each specified interval.

The average rate of change is given by

f(b)-f(a) / b-a

a) [2, 5] :-

To find the average rate of change we will take the change in the function over the change in x,

f(5)-f(2) / 5-2 = 24-16 / 3 = 8/3

Therefore, the average rate of change in interval [2, 5] is 8/3

b) [3.8, 4] :-

Similarly,

f(4)-f(3.8) / 4-3.8 = 17-19 / 0.2 = -2/0.2

= -10

Therefore, the average rate of change in interval [3.8, 4] is -10

Hence, the average rate of change over each specified interval is 8/3 and -10.

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Answer:

aiaiiwakkaoajdjsjzjhsjaj

The relative frequency of sophomores at this high school is 39/128.

Relative frequency is the ratio of the considered sub group's count to the total count. (so its frequency of the considered sub group relative to the total frequency).

We are given that;

Total students=1152

Freshmen=391

Sophomores=351

Juniors=208

Seniors=202

Now, to find frequency of sophomores

=number of sophomores/total number of students

=351/1152

=117/384

=39/128

Therefore, the relative frequency will be 39/128.

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Answer:

  1/(ab) if a ≠ 0, b ≠ 0, and (a+b) ≠ 0

Step-by-step explanation:

You want the simplified form of 1/(a²+ab) +1/(ab+b²) and any applicable conditions.

The expression is simplified by writing it over a common denominator and cancelling any common terms from numerator and denominator.

  [tex]\dfrac{1}{a^2+ab}+\dfrac{1}{ab+b^2}=\dfrac{1}{a^2+ab}\cdot\dfrac{b}{b}+\dfrac{1}{ab+b^2}\cdot\dfrac{a}{a}=\dfrac{b+a}{a^2b+ab^2}\\\\=\dfrac{a+b}{ab(a+b)}=\boxed{\dfrac{1}{ab}\quad a\ne0,b\ne0,(a+b)\ne0}[/tex]

The given conditions ensure the denominator(s) will not be zero.

The quadrilateral is most specifically a square since all the sides of the quadrilateral are equal and have 90°

A square is a four sided quadrilateral with all of the side having equal lengths. The total internal angle of a square is 360° with each side perpendicular to each other.

A square is a 4 sided polygon where all the sides are of equal length.

The area of the square is the square of any one of its side

Let a be the side of the square

Area of the square = a²

Given data ,

Let the quadrilateral be represented as ABCD

Now , the measures of the sides of the quadrilateral are

The measure of side AB = measure of side BC

And , the measure of side AB = measure of side AD

So , all the 4 sides of the quadrilateral are same so it is a square

And the measures of angles are 90° each

Therefore , the quadrilateral is a square

Hence , it is a square

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Answer:

15.40 ounces to 16.90 ounces.

Step-by-step explanation:

Answer: OD. 13

Step-by-step explanation:

Answer: d. Triangle with angle measures: 8·, 17·, and 152·

Step-by-step explanation: i did the test

The triangle not possible is option

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

Let us find the sum of the angles for each triangle given.

(a) Triangle with angle measures: 26°, 19°, and 135°·

Sum = 26° + 19° + 135° = 180°

(b)Triangle with angle measures: 14°, 27°, and 139°·

Sum = 14° + 27° + 139° = 180°

(c) Triangle with angle measures: 9°, 18°, and 153°·

Sum = 9° + 18° + 153° = 180°

(d) Triangle with angle measures: 8°, 17°, and 152°·

Sum = 8° + 17° + 152° = 177°, which is not equal to 180°.

Hence the option (d) is not possible.

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A structure may lack structural integrity if it experiences overloading and material degradation.

A structure may lack structural integrity if it experiences:

Overloading, where the loads placed on the structure exceed its design capacity, leading to failure of some structural components or members.

Material degradation, where the structural materials lose their strength and stiffness over time due to environmental factors such as corrosion or excessive temperature.

ii. The basic types of structural systems are:

Frame Structures, where the structural components are arranged in a series of interconnected frames that can resist lateral and gravity loads. Examples include steel frames and concrete frame structures.

Load-Bearing Wall Structures, where the structural components are arranged in a series of interconnected walls that bear the weight of the structure and transfer loads directly to the foundation. Examples include masonry and concrete walls.

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The measurement closest to the area of the circle in meters is 379.94 sq. meters.

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.

The word "area" refers to a free space. A shape's length and width are used to compute its area. The majority of forms and things have corners and edges. When computing the area of a certain form, both the length and width of these edges are taken into account.

Given that,

diameter = 22m

radius = 22/2 = 11m

The area of the circle is:

A = πr²

Substituting the value of π = 3.14 and r = 11 we have:

A = (3.14)(11)²

A = 379.94

Hence, the measurement closest to the area of the circle in meters is 379.94 sq. meters.

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Answer:

BEF

An angle is a measure of a turn, measured in degrees or °. Angles are made up of two rays, making the sides of the angle.

There are right angles (exactly 90 degrees), acute angles (less than 90 degrees), obtuse angles (more than 90 degrees), and reflex angles (more than 180 degrees).

Looking at the following answers provided, we can see that BEF is a proper angle, because it is made up of two rays in the proper order.

KGH on the other hand, is not. KGH would be a proper angle if it was in the correct order (GHK or KHG), but because it is not in the right order, it is not a proper angle. LEA is not a proper angle either. We know that an angle is made up of two rays, but LEA isn't, and it's the same with ADE.

Answer:

BEF and ADE

Step-by-step explanation:

These points when connected make and angle. The others do not as they sinply dont make sense or have the points in a way that makes the whole statement false.

There were 375 adult tickets sold and 316 student tickets for the school play.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let the number of student tickets would be x and the number of adult tickets would be y

As per the question, we have a system of equations:

x + y = 691   ....(i)

x = y - 59     ....(ii)

Substitute the value of x = y - 59 in equation (i),

y - 59 + y = 691

2y = 691 + 59

2y = 750

y = 375

Substitute the value of y = 375 in equation (ii), and solve for x:

x = 375 - 59

x = 316

Thus, there were 375 adult tickets sold.

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The complete question would be as:

A total of 691 tickets were sold for the school play. There were 59 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answer:

option

Step-by-step explanation:

f(x)=-3x²-4x+15

if (-3,-2) is substitute

x=-3 x=-2 is substitute in above given equation we get real zero.

The expression represents a degree five polynomial with four terms. The constant term is -6, the leading term is (1/2)x⁵, and the leading coefficient is 1/2.

A polynomial expression is an algebraic expression made up of variables and coefficients, combined using only the operations of addition, subtraction, and multiplication. The variables are raised to a power, which is a non-negative integer, and the coefficients are real numbers. A polynomial can have any number of terms, but it always has a degree, which is the highest power of the variables in the expression.

For the polynomial expression, (1/2)x⁵ - 6 - x⁴ - 5x⁴

There are 4 terms which are: (1/2)x⁵, - 6, - x⁴, and - 5x⁴.

The constant term is -6

The leading term is (1/2)x⁵

The coefficient of the leading term is 1/2.

In conclusion, the expression represents a degree five polynomial with four terms. The constant term is -6, the leading term is (1/2)x⁵, and the leading coefficient is 1/2.

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Answer:

quadrinomial, 4, -6, 1/2x^5, 1/2

Step-by-step explanation:

quadrinomials are polynomials with 4 terms

constant is the number with no variable

leading term is the term at the beginning

leading coefficient is the number at the beginning

After solving the expression (2/4x + 3) + (1/4x - 4), the resultant answer is 3/4x - 1.

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

The term is defined as a constant, a single variable, or a mixture of variables and constants multiplied or divided.

Example of an algebraic expression: 3x + 9; 5x + 10.

So, we have the expression as follows:

(2/4x + 3) + (1/4x - 4)

Now, solve as follows:

(2/4x + 3) + (1/4x - 4)

2/4x + 3 + 1/4x - 4

2/4x +  1/4x + 3 - 4

3/4x - 1


Therefore, after solving the expression (2/4x + 3) + (1/4x - 4), the resultant answer is 3/4x - 1.

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Answer:

(a) highest number of groups  = 5

(b) out how many, of each color marble, will be in each group.
5 red

3 blue

2 yellow

Step-by-step explanation:

The GCF of 25, 15, 10 gives you the greatest number of groups you can form with those numbers

GCF of 25, 15 and 10 can be found as follows by finding factors of each number:

25 = 5 x5

15 = 5 x 3

10 = 5 x 2

Choose the highest number that is common in each group and this is 5

So John can make a maximum number of 5 groups

Divide each number by the GCF to find how may in each group

25/ 5 = 5 red marbles
15/5 = 3 blue marbles

10/5 = 2 yellow marbles

So there are 5 groups max possible each group containing 5 red, 3 blue and 2 yellow marbles

find the length of the x

a^2 + b^2 = c^2

12x^2 + b^2 = 13^2

144 + b^2 = 169

b^2 = 25

b = 25; x = 5

use the formula

a = (1/2)(24)(5)

a = (1/2)(120)

area = 60

There will be a total of 741 greetings at the mother-daughter tea.

Two or more expressions with an Equal sign is called as Equation.

Let's start by counting the number of greetings between the host mother-daughter pair and the other 19 mother-daughter pairs.

Since each pair only greets once, the host pair will make 19 greetings.

Now we need to count the number of greetings between the 19 guest mothers and the other 19 mother-daughter pairs

Each of the 19 guest mothers will greet 18 other mother-daughter pairs, for a total of 19 x 18 = 342 greetings.

Finally, we need to count the number of greetings between the 19 guest daughters and the 20 mothers

Each of the 19 guest daughters will greet 20 mothers

Total is 19 x 20 = 380 greetings.

By adding all we get 741 greetings

Therefore, there will be a total of 741 greetings at the mother-daughter tea.

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Step-by-step explanation:

A set is a collection of distinct elements, and a subset is a collection of elements taken from a larger set. In this case, the set is {10, 15, 14, 20, 11}.

To calculate the number of subsets, we can use the formula for the number of subsets of a set with n elements, which is 2^n. So, the number of subsets of the set {10, 15, 14, 20, 11} is 2^5 = 32.

To calculate the number of proper subsets, we need to exclude the empty set (Ø) and the set itself from the total number of subsets. So, the number of proper subsets is 32 - 2 = 30.

Therefore, there are 32 subsets and 30 proper subsets of the set {10, 15, 14, 20, 11}.