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Check the picture below.

so from the provided information, we can say that the parabola has a vertex at (3 , 45) and it has a zero at (6 , 0) or we can say is just another point at (6 , 0)

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} h=3\\ k=45\\ \end{cases}\implies y=a(~~x-3~~)^2 + 45\hspace{4em}\textit{we also know that} \begin{cases} x=6\\ y=0 \end{cases} \\\\\\ 0=a(6-3)^2+45\implies -45=9a\implies \cfrac{-45}{9}=a\implies -5=a \\\\\\ ~\hfill {\Large \begin{array}{llll} y=-5(x-3)^2 + 45 \end{array}} ~\hfill[/tex]

Answer:

The dimensions of a cylinder that will maximize volume would be radius = 10 cm and height = 30 cm.

Answer: The interest for the loan for each day is 5000 x 6.9/100 = $345.

For the first installment, the interest will be for 60 - 1 = 59 days. So, the interest for this period will be 59 x $345/365 = $166.55.

The first installment will be $5000 + $166.55 = $5166.55.

For the second installment, the interest will be for 120 - 60 = 60 days. So, the interest for this period will be 60 x $345/365 = $168.76.

The second installment will be $5000 + $168.76 = $5168.76.

For the third installment, the interest will be for 180 - 120 = 60 days. So, the interest for this period will be 60 x $345/365 = $168.76.

The third installment will be $5000 + $168.76 = $5168.76.

Therefore, each installment will be $5166.55, $5168.76, and $5168.76.

Step-by-step explanation:

Luca picks his number first. then, craig picks a number from the remaining cards, these two events are Dependent.

Total number of cars are 25,

Luca picks randomly a card so probability is now 1/25 and total number of cars are now 24.

If craig have to pick then the probability of it becomes 1/24 as one card was already picked by the Luca,

So this indicated that these two events are Dependent.

In probability, dependent events are those whose occurrence influences the likelihood of occurrence of another event. Imagine there are 3 red and 6 green balls in a bag. One after the other, two balls are taken out of the bag.

Let A represent the first draw's red ball draw and B represent the second draw's green ball draw. If the first draw's ball is not put back in the bag, then A and B are dependent events because P(B) changes depending on whether the first draw's ball was red or green.

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Answer:

y = -5/4x + 3

Step-by-step explanation:

slope-intercept form is:  y = mx + b

where 'm' represents slope and 'b' represents the y-intercept

basically we have to solve for 'y':

first step,  add -5x to each side to get:

-4y = 5x - 12

last step,  divide each side by -4 to get:

y = -5/4x + 3

slope equals -5/4

y-intercept equals 3

Therefore , the solution of the given problem of expression comes out to be C) -3.5 , D) -0.75 and E) -1/3 .

Math requires the use of arithmetic, algebra, and divisions. They result in the following when combined: An equation, some statistics, and a mathematical function Values, factors, and mathematical processes like adding, addition and subtraction, complex numbers, and division can all be found in a statement of fact. Different words and terms can be analysed and evaluated.

Here,

Thus , numbers below is less than -1.2

C) -3.5

D) -0.75

E) -1/3

Therefore , the solution of the given problem of expression comes out to be C) -3.5 , D) -0.75 and E) -1/3 .

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The complete question is "Which of the numbers expressions below is less than zero? Select all that apply.

A) 1.2

B) 7/2

C)-3.5

D)-0.75

E)-1/3"

Answer:Irrational,2/9,22/100 11/50, Irrational, No Fraction Given, Perfect Square, Non-Perfect Square

Step-by-step explanation:Best fit options for each question.

Option B is the correct answer which is Paraphrasing plagiarism true for the Student Version.

It can be defined as the student's version displaying paraphrasing plagiarism.

This implies that the student was unable to make an appropriate in-text citation with the name of the author and date to display the reference to the original source.

The student's version also displays 'paraphrasing plagiarism' when the student was unable to make an appropriate in-text citation with the name of the author and date to display with reference to the original source.

An in-text citation is necessary despite the student paraphrasing the information and citing its bibliographical reference in order to avoid plagiarism.

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Full question:

In the case below, the original source material is given along with a sample of student work. Determine the type of plagiarism by clicking the appropriate radio button.

Original Source Material

Student Version

Learning is a complex set of processes that may vary according to the developmental level of the learner, the nature of the task, and the context in which the learning is to occur. As already indicated, no one theory can capture all the variables involved in learning.

References:

Gredler, M. E. (2001). Learning and instruction: Theory into practice (4th Ed.). Upper Saddle, NJ: Prentice-Hall.

A learning theory, there, comprises a set of constructs linking observed changes in performance with what is thought to bring about those changes.

References:

Driscoll, M. P. (2000). Psychology of learning for instruction (2nd Ed.). Needham Heights, MA: Allyn & Bacon.

A learning theory is made up of "a set of constructs linking observed changes in performance with whatever is thought to bring about those changes" (Driscoll, 2000). Therefore, since "learning is a complex set of processes that may vary according to the developmental level of the learner, the nature of the task, and the context in which the learning is to occur, it is apparent that no one theory can capture all the variables involved in learning" (Gredler, 2001).

Which of the following is true for the Student Version above?

Word-for-Word plagiarism

Paraphrasing plagiarism

This is not plagiarism

The measure of BC is 24 cm.

The diagram of circle A with two tangents is given in the attached figure.

The given radius of the circle is 10 cm.

AC = 26 cm

We require to calculate the value of BC.

We have,

AD = AB = 10 cm

We know that the radius of a circle is always perpendicular to the tangent at the point of intersection. It suggests that triangle ABC is a right-angle triangle.

Using the Pythagoras theorem, we get

AB² + BC² = AC²

10² + BC² = 26²

BC² = 676 - 100

BC² = 576

Take square root on both sides,

BC = √576

BC = 24

The measure of BC is 24 cm.

Hence, the correct answer is B.

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--The given question is incomplete; the complete question is

"Circle A has a radius of 10 centimetres. BC and CD are tangent to circle A. If AC = 26 cm, what is BC?

A)20cm

B)24cm

C)26cm

D)2√194cm'--

The value of the measure of 5 is,

⇒ ∠5 = 105°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Two parallel lines are cut by a transversal.

And, the measure of 2 is 75°.

Here, Angle 2 and 3 are vertically opposite angle.

Hence, angle 2 and 3 are equal.

And, Angle 3 and 5 are adjacent angle.

Hence, We get;

⇒ ∠3 + ∠5 = 180°

⇒ 75 + ∠5 = 180°

⇒ ∠5 = 180 - 75

⇒ ∠5 = 105°

Thus, The value of the measure of 5 is,

⇒ ∠5 = 105°

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Answer:

shown below

Explanation:

so first you can graph a dot at (2,-1), since it must go through that line. Then you can use the slope, 3, to figure out the next dot. The slope 3 can be put into a fraction, liking like 3/1. Then you use rise/run from your point (2,-1). You go up 3, and right 1. Using that, your next point is (3,2). Plot that dot, and then use a straight edge to draw your line. It looks like how it is in the picture.

Step-by-step explanation:

4(a- 7) = 4×a-(7×4)

= 4a-(28)

= 4a-28.

Answer:

Step-by-step explanation:

The formula for the circumference of a circle is 2 * π * r, where r is the radius of the circle.

Given that the radius of the circle is 13 millimeters, the circumference of the circle is:

2 * π * 13 = 26 * π millimeters

Since the value of π is approximately 3.14, the approximate circumference of the circle is:

26 * 3.14 = 81.64 millimeters.

Answer:

18

Step-by-step explanation:

56 copies

sold 1/4 *56 = 14 copies

42 copies left

4/7 * 42 = 24 copies sold

remaining 42-24 = 18

ok so to find the opposite of something like this you gotta simplify it first

a negative times a negative is a positive

-(-3) = 3

the opposite of 3 is... drumroll please...   -3

Hope this helps,

- Jeron :- )

Answer:

-3

Step-by-step explanation:

-(-3) is just positive 3

By evaluating an equation we will see that the value of the coins is $5.

Each nickel is whorth $0.10 and each quarter is whorth $0.25, so the value for n nickels and q quarters is given by the equation below:

v = q*0.25 + n*0.10

Here we know thathe has 10 nickels and 8 quarters, replacing that we will get:

v = 8*0.25 + 10*0.10

v = 4 + 1

v = 5

The value is 5 dollars.

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Debbie should have included 8 as a possible choice. The correct inequality is p ≤ 8.

Debbie's error is that she did not include the possibility that exactly 8 passengers could fit in the van. Therefore, the correct inequality symbol to use would be less than or equal to, represented by "<=".

The correct inequality is p <= 8. This means that the number of passengers that can fit in the van is either less than or equal to 8. So, including 8 as a possible choice is also necessary to correctly represent the situation.

Hence the correct answer is C.

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--The given question is incorrect; the correct question is

"The Martins' van can hold up to 8 passengers. Debbie writes the inequality p <8, where p is the number of passengers that can fit in the van. Select the choice that provides the best explanation for Debbie's error and the correct answer in this case.

A. Debbie should have used 8p because 8 passengers can fit in the van. The correct inequality is 8p < 1

B. Debbie should have switched the inequality symbol to greater than. The correct inequality is p > 8.

C. Debbie should have included 8 as a possible choice. The correct inequality is p ≤ 8.

D. Debbie should have used the not equals sign to compare the two sides of the inequality. The correct answer is p = 8"--

The solution of the inequality is:

s ≥ -0.86

And the graph can be seen on the image at the end.

Here we want to find and graph the solution set of the inequality below:

(2/5)*s + 7 ≥ 3 - 4.2*s

To do so, first we need to isolate s in one of the sides, then let's do that:

(2/5)*s + 7 ≥ 3 - 4.2*s

(2/5)*s + 4.2*s ≥ 3 - 7

(2/5 + 4.2)*s  ≥ -4

And we know that 4.2 = 21/5

Then:

(2/5 + 21/5)*s  ≥ -4

(23/5)*s ≥ -4

s ≥ -4*5/23

s ≥ -20/23

s ≥ -0.86

The graph of this will something like the one below:

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The expression that can be used to determine the price is 1.3x

The expression to determine the price the store charges when the manufacturer charges x dollars, after marking up the price by 30%, can be calculated as follows:

Let P be the price the store charges

So, we have the following representation

P = x + (30/100)x

Divide

P = x + 0.3x

Add

P = 1.3x

So, the store charges 1.3x dollars after marking up the price by 30%.

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The distance further you have to walk is 5 / 8 miles.

You want to walk from home to a shoe store that is 7/8 miles away. You stop for a rest after 1/4 miles. The distance you have to walk can be calculated as follows:

Therefore,

distance you have to walk = 7 / 8 - 1 / 4

distance you have to walk =  7 - 2 / 8

distance you have to walk = 5 / 8

Therefore, the distance you have to walk is 5 / 8 miles

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Answer:

18 2-point shots.

Step-by-step explanation:

Two equations.

First modeling 2 point and 3 point shots as x and y.

2x + 3y = 60

Second, modeling the number of shots.

x + y = 26

Which you can alter to substitute.

x = 26 - y

Substitute.

2(26 - y) + 3y = 60

52 - 2y + 3y = 60

y = 8

The team made 8 3-point shots and 18 2-point shots.

The picture below shows the graph of the  inequality of x² ≤ 4

Option C is correct.

In mathematics, an inequality is described as a relation which makes a non-equal comparison between two numbers or other mathematical expressions which is used most often to compare two numbers on the number line by their size.

A graph of inequality denotes that the variables is the set of points that represents all solutions to the inequality.

A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.

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Answer:

True

Step-by-step explanation:

2.5 times 2 = 5

So, the answer is true.

The prove of BC || AD is shown in below.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

⇒ ΔABE ≅ ΔCDE

Now, Prove of BC || AD is shown in below as;

⇒ ΔABE ≅ ΔCDE    ( Given )

Hence, We get;

⇒ AB ≈ DC

Now, In triangle ΔBEC and ΔDEA;

⇒ ∠BEC = ∠AED   (Vertically opposite angle)

⇒ BE = ED

⇒ AE = EC

Hence, By SAS congruency;

Triangle ΔBEC and ΔDEA are congruent.

Hence, We get;

⇒ BC = AD

Since, In a parallelogram ABCD;

⇒ AB = CD

⇒ AD = BC

Hence, We get;

⇒ BC || AD

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0.028. is the probability .

Describe probability using an example?

A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty. The likelihood of an event occurring increases as its probability increases. The flip of a fair (impartial) coin serves as a straightforward illustration.

Total sample space = 6*6 = 36

A) Sample space for sum of 1 = 0

So probability of getting a sum of 1 = 0

B) sample space for sum of 5 = {(1,4) , (2,3), (3,2), (4,1)}

So probability of getting a sum of 5 = 4/36 = 0.11

C) sample space for sum of 12 = (6,6)

S, probability of getting a sum of 12 = 1/36 = 0.028.

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Answer: The lateral surface area of the cylinder can be found using the formula: πr h, where r is the radius and h is the height of the cylinder.

Given that the height of the cylinder is 22 ft, and the diameter is 6 ft, the radius can be found by dividing the diameter by 2: r = 6 / 2 = 3 ft.

So the lateral surface area of the cylinder is: πr h = π * 3 * 22 = 66 * π ≈ 208.36 sq ft.

Rounding to the nearest hundredth, the lateral surface area of the cylinder is 208.36 sq ft.

Step-by-step explanation:

[tex]8-6n=-58\\6n=66\\n=11[/tex]

[tex]11\in\mathbb{N}_+[/tex] therefore it is.

-58 is not a term of this sequence.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can check if -58 is a term of this sequence by substituting -58 for n in the formula for the nth term:

8 - 6n

= 8 - 6(-58)

= 8 + 348

= 356

Since -58 does not result in 356, we can conclude that -58 is not a term of this sequence.

Thus,

-58 is not a term of this sequence.

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The total population, h(x): of bison in the two regions 0f the park X years after 2010 is h(x) = 1050(1.14)ˣ. So the option a is correct.

The following functions represent the population of bison in two regions of a wildlife park; where X is the number of years since 2010.

f(x) = 600(1.14)ˣ

g(x) = 450(1.14)ˣ

We must tell the function that represents the total population of bison in the two park regions x years after 2010.

h(x) = Total Population

So, h(x) = f(x) + g(x)

Now put the value of f(x) and g(x)

h(x) = 600(1.14)ˣ + 450(1.14)ˣ

Take (1.14)ˣ on both side, we get

h(x) = (600 + 450)(1.14)ˣ

h(x) = 1050(1.14)ˣ

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The complete question is:

The following functions represent the population of bison in two regions of a wildlife park; where X is the number of years since 2010.

f(x) = 600(1.14)ˣ

g(x) = 450(1.14)ˣ

Which function represents the total population, h(x): of bison in the two regions 0f the park X years after 2010?

h(x) = 1,050(1.14)ˣ

h(x) = 1,050(2.28)²ˣ

h(x) = 1,050(1.14)²ˣ

h(x) = 1,050(2.28)ˣ