I need help with this this is my homework online

The set T can be rewritten by listing its elements as T = {-4}.

         Set A = {a, b, c, d}. These are the elements of set A: a, b, c, and d.

Given:

Set T is equal to  {x | x is an integer and -5 < x < -3}.

By examining the interval in the set, the set can also be written as something else. 

It should be noted that the interval consists of two inequalities combined so that x > -5 and x < -3.

As -4 > -5 and -4 < -3 via the number line so it is the only element listed in the required set notation.

Hence, the set can be rewritten as

T = {-4}

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The complete question is: "Rewrite the set T by listing its elements. Make sure to use the appropriate set notation.

T = {x | x is an integer and -5 < x < -3}."

Answer:

24

Step-by-step explanation:

divide the sides added together by the middle

The distance travelled by the unicycle is 226.08 inches.

The first step is to determine the circumference of  the wheel of the unicycle. A circle is a bounded figure which points from its center to its circumference is equidistant. The circumference of a circle is the distance round the circle.

Circumference of a circle = 2πr

Where:

3.14 x 2 x 12 = 75.36 inches

The next step is to multiply the circumference of the unicycle by the number of revolutions the tire made.

Distance travelled = 3 x  75.36 inches = 226.08 inches

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: y = x² +6x -16[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

The values of x for which the curve cuts/touches the x - axis are roots of that particular polynomial.

So, the values of x, when y = 0 are the roots of the given quadratic function.

that is : x = -8 and x = 2

And it can be represented as :

[tex]\qquad \tt \rightarrow \: (x - h1)(x - h2)= 0[/tex]

[ h1 and h2 represents roots of the quadratic function ]

[tex]\qquad \tt \rightarrow \: (x -2)(x + 8) = 0[/tex]

It can be further simplified as :

[tex]\qquad \tt \rightarrow \: {x}^{2} -2x +8x -16 = 0[/tex]

[tex]\qquad \tt \rightarrow \: x {}^{2} +6x -16 = 0[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

⇒Plug in the given values of the variables in order and then simplify the expression

Given that a= 3 and b=4

⇒[tex]=(3)^{3} -(4)+7\\=27-4+7\\=23+7\\=30[/tex]

⇒The expression evaluated at the given known variables gives 30.

The function g(x) when x= - 2, 0 , 5 is -6 , 0 and 15 respectively.

The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given: g(x) = 3x

To evaluate : The function x= - 2, 0, 5.

g(-2) = 3× -2 = -6

g(0) = 3×0 = 0

g(5)= 3×5 = 15

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Solution

Step 1:

Write the rational expression:

Step 2:

Vertical asymptotes can be found by solving the equation n(x) = 0 where n(x) is the denominator of the function ( note: this only applies if the numerator t(x) is not zero for the same x value).

Step 3

Step 4:

\ertical} Asymptote is =-8,\ =3,

he standard form of a quadratic efunctionis:

Since the y-intercept is (0, -1.4), it follows that:

Substitute c = -1.4 into the equation:

Since the x-intercept is (0.905, 0), it follows that:

Since the graph passes through the third point (2, 0.6), it follows that:

Substitute equation (2) into equation (1):

Substitute a = -0.5 into equation (2), therefore,

Therfore the function is given by:

The equation of the parabola is y = -0.5x² + 2x - 1.4

.

The probability of a gorilla living less than 23.9 years is 0.84 (84%) if the lifespans of gorillas in a particular zoo are normally distributed.

A probability is also called as a numerical representation of the likelihood or chance that any kind of specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities. Probability refers to potential.

Any random event's occurrence is the exact subject of this area of mathematics. The range of the value varies from 0 to 1. Mathematics has been incorporated probability to forecast the likelihood of various types of events.

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas.

We need to find the z-score herein of 23.9 years in the kind of standard normal distribution of the lifespans of gorillas in this particular zoo.

z score can be further be calculated using the equation

z = (X-M)/s

and it has been given that X is 23.9 years

M is also called the average gorilla life (20.8 years)

s is given as the standard deviation (3.1 years)

Thus, putting up the values, we have

Z = 1

The Empirical rule that is present here states that 68% of the total lifespans lie within 1 standard deviation from the other mean.

Then Half of it, 68/2 = 34 % lies right side of 1 standard span of the mean.

Since this lifespan is less than mean is 50%, 50%+34% =84% lies less than total z-score 1, that is the probability of a gorilla living less than 23.9 years.

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The height of the building is 118. 89 feet

Trigonometric identities are simplify defined as arithmetic expressions or equations relating to many trigonometric functions, and is also known for holding true for all the values in the domain of the functions.

The different  types of trigonometric identities includes;

The trigonometric ratios for major identities are;

sine = opposite/hypotenuse

tangent = opposite/adjacent

cosine = adjacent/hypotenuse

From the information given;

cos 43 = x/170

cross multiply

x = cos 43(170)

expand the bracket

x = 124.33 feet

To determine the height of the building is the opposite side

sin 73 = x/ 124.33

cross multiply

x = sin 73(124.33)

expand the bracket

x = 118. 89 feet

Hence, the value is 118. 89 feet

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Based on the attached graph, the y-intercept is 3

The y-intercept of the function is the point or points where the graph of the function crosses the y-axis i.e. the point where the value of x equals 0

The graph that completes the question is added as an attachment

Using the definition above, we understand that

The y-intercept for the graph of the exponential function is the point where x = 0

On the attached graph, we have

y = 3, when x = 0

This means that the y-intercept for the graph of the exponential function is 3

This is so because the graph of the function crosses the y-axis  at y = 3 when x = 0

Hence, the y-intercept of the exponential function is 3

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The average consumption of the fruit juice would be 7.6 gallons for the year 2006.

Average consumption is derived by dividing the total measured consumption of that municipal service by that consumer during the three months before by three. It refers to the average consumption of a consumer of a municipal service during a certain time.

Utilizing the total of quantities consumed or dispersed over a period of time, typically 12 months, the average monthly consumption can be computed. The average number of units used each month is known as average monthly consumption, stock-outs corrected (CA).

Total consumption of the fruit juice in 2006=2.28x109 gallons.

Total population of the country in year 2006=3x108

Average Consumption=(2.28x109)/(3x108)

                = 7.6 gallons    

Hence the average consumption would be 7.6 gallons per person.

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A.

This is not a correct choice

--------------------------

B.

This is a correct choice

---------------------------

C.

This is not a correct choice

------------------------------------------------

D.

This is a correct choice

-------------------------------------------

E.

This is a correct choice

Given:

TR = 11 Ft

∠RTS = 16°

Let's determine the length of Arc PS,

Step 1: Let's first determine the angle of Arc PS.

∠RTS = 16°

∠PTQ = 16° ; Vertical angle pair of ∠RTS

Since ∠QTR = ∠PTS under the rule of vertical angles, we can now determine the measure of ∠PTS or Arc PS.

We get,

Step 2: Let's determine the perimeter of the circle.

Step 3: Let's determine the length of Arc PS.

Therefore, the length of Arc PS is 31.47 ft.

It is important the order we write the vertices of a triangle in a congruent statement as

B. The order tells us what sides are congruent.

D. The order tells us what angles are congruent.

A vertex (plural vertices) in geometry is the intersection of two straight lines. Three line segments come together to form a triangle. The ends of a triangle's three sides meet at three separate points in a plane to form the triangle, which has three sides with two endpoints each. The vertices of a triangle are the three distinct intersecting points or corners.

Congruent triangles are triangles that are precisely the same size and shape. The word congruent has the sign. When the three sides and three angles of one triangle match the same dimensions as the three sides and three angles of another triangle, two triangles are said to be congruent.

The vertices of a triangle in a congruent statement are important for the ordering. In conclusion, the correct options are B and D.

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Answer:

1 Greatest Common Factor

We have to find out the greatest common factor, of the given polynomial to factorise it. This process is nothing but a type of reverse procedure of distributive law.

2. Grouping

This method is also said to be factoring by pairs. Here, the given polynomial is distributed in pairs or grouped in pairs to find the zeros.

3. Using Identities

The factorisation can be done also by using algebraic identities. The most common identities used in terms of the factorisation are:

(a + b)2 = a2 + 2ab + b2

(a – b)2 = a2 – 2ab + b2

a2 – b2= (a + b)(a – b)

4. Zero Factor Property :The Zero Factor Property (also called the Zero Product Property) says that if the product of two quantities is zero, then at least one of those quantities is zero. The only way to get a product equal to zero is to multiply by zero itself.

5. Greatest Common Factor (GCF) Method:

This is almost always the first method applied to factoring polynomials. Look at all of the terms and see if they all have something in common that can be removed.

6. Sum or Difference in Two Cubes

A cube is a term that has been multiplied by itself twice.

[tex] {3}^{3} {x}^{3} and \: \: \: {27x}^{3} [/tex]

are all cubed terms. The trick to remembering how to factor cubed terms is S.O.A.P. S = same sign, O = opposite sign A.P. = always positive.

The difference between expression (-3x²-xy-3y²) - (6x²-4xy+y²) is  

(-9x²+3xy-4y²).

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

Numbers and arithmetic operators make into a mathematical numerical expression. There are no symbols for undefined variables, equality, or inequality.

Unknown variables, integers, and arithmetic operators are the components of an algebraic expression. There are no symbols for equality or inequality in it.

= (-3x²-xy-3y²) - (6x²-4xy+y²)

=  -3x²-xy-3y² - 6x²+4xy-y²

= (-9x²+3xy-4y²)

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Answer:

n= -16/25

Step-by-step explanation:

Solution:

The cube is numbered from 1 to 6

The probability that any of the numbers from 1 to 6 will show will be

The expected value will be calculated below as

the probability of winning a lottery game out of all the games played is 0.16.

We are given that:

In a lottery game, the chances of win are = 4 in 25

So, this means that:

if a person plays 25 games of lottery, then he will probably win 4 games out of them.

So, we get that:

Total games = 25

Win games = 4

Probability = win games / total games

Substituting the values, we get that:

Probability = 4 / 25

P = 0.16

Therefore, we get that, the probability of winning a lottery game out of all the games played is 0.16.

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How many pounds of Virginia peanuts does Sergio use?

Assume he is making 10 lb of the $3.40 mixture

Let x = no. of pounds of the Virginia ($3.50) peanuts

Then (10-x) = no. of pounds of the Spanish ($3) peanuts

The Equation:

3.5x + 3(10-x) = 3.4(10)

3.5x + 30 - 3x = 34

.5x = 34 - 30

x = 4/.5

x = 8 pounds of Virginia peanuts

:

(b)How many pounds Spanish peanuts does Sergio use?

Spanish peanuts must be 2 pounds since the total is 10 pounds

:

Check:

3.5(8) + 3(2) = 3.4(10)

28 + 6 = 34

The function operation ( f + g )(x) of the functions f( x ) = 4x + 1 and g( x ) = x² - 5 is x² + 4x - 4.

A function is simply a relationship that maps one input to one output.

Each x-values must have one y-value to qualify as a function.

Given the data in the question;

First, set up the function operation

( f + g )(x) = f(x) + g(x)

Replace the function designators f(x) and g(x) with the actual functions.

( f + g )(x) = f(x) + g(x)

( f + g )(x) = ( 4x + 1 ) + ( x² - 5 )

Collect and add like terms

( f + g )(x) = 4x + 1 + x² - 5

( f + g )(x) = 4x + x² - 5 + 1

( f + g )(x) = 4x + x² - 4

Reorder the function

( f + g )(x) = x² + 4x - 4

Therefore, the function operation ( f + g )(x) is  x² + 4x - 4.

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6 possible values of squares that she can move.

What is possibility or probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.

it is already known that Oris has to move 7 squares (because 3 + 4 = 7), yet she has another 6 sets of possibilities because a dice has 6 facets.

Hence she has 6 different possible numbers of squares she can move.

The possibilities are:

-8 squares (if she rolls a 1)

-9 squares (if she rolls a 2)

-10 squares (if she rolls a 3)

-11 squares (if she rolls a 4)

-12 squares (if she rolls a 5)

-13 squares (if she rolls a 6)

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The x intercept of the function y=(2/3)x-1 is 3/2 , and y intercept is -1 .

X intercept of a function is defined as the point where the graph crosses the x axis ,

and the y intercept of the function  is defined as the point where the graph crosses the y axis .

In the question ,

it is given that

the function is y= (2/3)x-1

to find the x intercept we substitute y as 0 in the equation

On substituting  y as 0  , in the equation , we get

0 = (2/3)x-1

1=(2/3)x

x=1*(3/2)

x=3/2

the x intercept is 3/2.

to find the y intercept we substitute x as 0 in the equation

On substituting  x as 0  , in the equation , we get

y=(2/3)*0-1

y=0-1

y= -1

so, the y intercept is -1 .

Therefore , the x intercept of the function y=(2/3)x-1 is 3/2 , and y intercept is -1 .

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When in triangle ABC, angle B is one quarter off angle B and angle C is two fifth of angle A and the angle A is (x-10)  degrees, then the ∠A, ∠B  and ∠C  are 109 degrees, 27 degrees and 44 degrees respectively  

The ∠A = (x-10) degrees

Angle B is one-quarter of angle A

∠B = (1/4)×(x-10)

= (1/4)x - (5/2)

= 0.25x-2.5

The angle C is two fifth of angle A

∠C = (2/5)(x-10)

= (2/5)x - 4

= 0.4x-4

We know sum of the angles in a triangle is 180 degrees

Then,

∠A + ∠B + ∠C = 180

Substitute the values in the equation

(x-10) + 0.25x-2.5 +0.4x-4 = 180

1.65x-16.5 = 180

1.65x = 196.5

x ≈ 119

∠A = (x-10)

= 119-10

= 109 degrees

∠B = 0.25x-2.5

= 0.25×119-2.5

≈ 27 degrees

∠C = 0.4x-4

= 0.4×119-4

≈ 44 degrees

Hence, when in triangle ABC, angle B is one quarter off angle B and angle C is two fifth of angle A and the angle A is (x-10)  degrees, then the ∠A, ∠B  and ∠C  are 109 degrees, 27 degrees and 44 degrees respectively  

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The correct answer is:  
     [A]:  " ∡2 is supplementary to ∡3 " .

___________________

The other answer choices given—which are correct statements—only prove that " a || b " {that is:  "Line A" is parallel to "Line B".}

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The remaining wire (W) is just the original wire (850') minus the cut wire on Monday, Tuesday...

There is merely 1' of wire in the reel.