Find the volume of the solid generated by revolving the region bounded by the given curve and lines about the x-axis. y=5x, y=5, x=0

The formula for finding any term of the given sequence is [tex]a_{n}[/tex] = [tex]n^3[/tex].

According to the given question.

We have a sequence

-1,1,-1,1,-1,1....

As we know that, a sequence or number pattern is an ordered set of numbers or diagrams that follow a rule.

The above of given sequence -1,1,-1,1,-1,1,.....  is following a rule i.e. each term is the cube of its number of term.

Here,

The first term is -1, so the cube of -1 is -1.

The second term is 1, so the cube of 1 is 1.

So, the nth term of the given sequence is [tex]n^{3}[/tex].

Therefore, the formula for finding any term of the given sequence is given by

= [tex]n^3[/tex]

Where, n = Therefore, the formula for finding any term of the given sequence is given by

 = [tex]n^3[/tex]

Where, n =  -1,1,-1,1,-1,1, .......

So, for n = -1

The first term will be -1.

for n =1

The second term will be 1

for n= 1

The fourth term will be 1 and so on .

Hence, the formula for finding any term of the given sequence is [tex]n^3[/tex].

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Answer:

49π in²

Step-by-step explanation:

Formula for Area of a Circle: A = πr²

The image shows the radius (r) = 7in

A = πr² → A = π(7)²→ A = π(49)

A = 153.94 in²

Step-by-step explanation:

Area of circle with radius of r is given by:

[tex] a = \pi {r}^{2} \\ a = 49\pi {(in)}^{2} \\ or \: \: a = 153.9 \: {(in)}^{2} [/tex]

Answer:

2

Since the numbers after the decimal are above 500 , thereby rounding it to nearest whole number is 2.

Answer:

Step-by-step explanation:

The given statement is False. Non-Euclidean geometry refers to geometrical systems that are not in accordance with the Parallel Postulate.

Euclidean geometry a mathematical system in which we study of plane and solid figures on the basis of axioms and theorems employed by the Greek mathematician Euclid.

Parallel Postulate is one of the five postulates of Euclidean geometry. It is Euclid's fifth postulate which states that through any given point not on a line there passes exactly one line parallel to that line in the same plane. Non-Euclidean geometry refers to geometrical systems that are not in accordance with the Parallel Postulate.

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Answer:

Step-by-step explanation:

t = number of trees per 3 oranges

3t = 15

3t/3 = 15/3

    t = 5 trees

The equation for the nth term of the arithmetic sequence is (6n – 1)

The given arithmetic progression is 5,11,17,23

Here we have been given

                     a = 5

                     d = a2 – a1

                         = 11 – 5

                    d   = 6

The formula for the nth term is given as follows:

           an = a + (n-1)d           (1)

          where, a = first term

                        d = common difference

putting the required values of ‘a’ and ‘d’ in equation (1) we get

      an = 5 + (n-1)6

      an = 5 + 6n – 6

      an = 6n – 1

which is the required equation for the nth term of the arithmetic sequence

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Answer:

257757

Step-by-step explanation:

Answer:

300 minutes 0.23c1=44.95+0.08c2

Step-by-step explanation:

The probability. In a bag of 3 green and 4 blue marbles, a blue marble is drawn and not replaced. Then, a second blue marble is drawn is 3/7.

Total number of marbles is 7.

Number of blue marbles are 4.

the probability  that a second blue marble is drawn is 3/7.

Probabilities are mathematical explanations of the likelihood that an event will occur or that a proposition is true. The likelihood of an event is represented by a number between 0 and 1, with 0 typically signifying impossibility and 1 typically signifying certainty.

Probability is a synonym for potential. It is a field of mathematics that examines how random events happen. From zero to one, the value is stated. To forecast the likelihood of events, probability has been introduced in mathematics.

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Answer: 5:12

Step-by-step explanation:

25:60

But we can simplify this down too.

25:60

5:12

The quotient of 117 divided by 9 is 13.

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

The answer thus got is called the quotient.

We have to divide 117 by 9.

Division algorithm states that,

Dividend = (Divisor × quotient) + Remainder

Remainder will be 0 if divisor is a factor of dividend.

Here dividend = 117 and divisor = 9

We know that 90 is a multiple of 9, where 90 = 9 × 10.

Remainder is 117 - 90 = 27

27 = 9 × 3

Hence 117 = 90 + 27 = (9 × 10 ) + (9 × 3) = 9 (10 + 3) = 9 × 13

So 117 / 9 = 13

Hence the quotient is 13.

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The smallest integer is 1 and solution is (₋1)

Given, the inequality is 2x ₋ 8 ≥ ₋11

The mathematical expressions with inequalities are those with unequal sides on both sides. Unlike equations, we compare two values when we work with inequality. A statement that two things are not equal is what is meant by the word "inequality." It's possible for one of the items to be more than, smaller than, equal to, or equal to the other things.

now add 8 on both sides.

2x ₋ 8 ₊ 8 ≥ ₋11 ₊ 8

2x ≥ ₋3

dividing both sides by 2.

2x/2 ≥ ₋3/2

⇒ x ≥ ₋3/2

₋3/2 is not an integer.

hence the smallest integer value of x is 1, and solution is (₋1)

Hence we get the integer value as 1.

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Step-by-step explanation:(4/100x)+(6/100y)=178---------(i)

2х+3y=8900-----------(i)

x+y=3600---------(ii)

where x is phone

y is pen

The system of equations that describes the situation are 4x + 6y = 17800 and x + y = 3600.

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Let the cost of 1 phone is x dollars and cost of 1 computer is y dollars.

Cameron earns a 4% commission on the total dollar amount of all phone sales he makes and earns a 6% commission on all computer sales.

∴ (4/100)x + (6/100)y = 178

4x + 6y = 17800...(i)

Cameron made a total of $3600 in sales.

∴ x + y = 3600...(ii)

Now to solve the equations we'll multiply eqn(ii) by 4 or 6 to cancel out x or y, and then we'll substitute the numerical value of x or y in any of these equations.

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Answer:

-3, -1, 1

Step-by-step explanation:

Answer: -3,-1, and 1.

Step-by-step explanation: You are given the relation R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)} The domain of the relation are all possible inputs and the range of the relation are all possible outputs. So, the inputs are : -3,-1,1; and the outputs are : -2,0,2. As a result, the domain is : -3,-1,1; and the range is : -2,0,2.

Step-by-step explanation:

let's just write it down in mathematical notation :

length = 2×width - 1

the perimeter is the way all around an object.

so, for a rectangle that is

2×length + 2×width

for our rectangle here

2×length + 2×width = 70

now we use the original identity of length via width and get

2×(2×width - 1) + 2×width = 70

4×width - 2 + 2×width = 70

6×width - 2 = 70

6×width = 72

width = 12

FYI

length = 2×width - 1 = 2×12 - 1 = 24 - 1 = 23

The coordinate of another point will be (a/2,y) where y can be any value.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

An isosceles triangle is a triangle whose two sides are equal.

Let's say AB = AC

So,

Distance associate to AB = Distance associate to AC

(x- 0)² + (y - 0)² = (x - a)² + (y - 0)²

x² + y² = (x - a)² + y²

x = a/2

So the coordinate of the third vertex is (a/2,y)

Hence "The coordinate of another point will be (a/2,y) where y can be any value".

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The answer is 4. The generalized equation is y = f(x). So when the coordinate of x is 4, value of y is 2

Graph of the equation y= f(x) passes through the points (0,2), (2,4), (4,6), and (7,9).

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.  

The points on the graph often represent the relationship between two or more things.

The coordinate plane comprises a horizontal line (x-axis) and a vertical line (y-axis), and it is divided into four quadrants named using roman numbers (I, II, III and IV).

The different points in a graph have coordinates written as ordered pairs (pairs of numbers within parentheses separated by a comma). The first number in an ordered pair (x, y) represents the value of x, and the second one represents the value of y for a given point.

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The future value and interest earned when compounded semiannually are $13,576.14 and $4,871.58 respectively.

The future value and interest earned when compounded continuously are $13,651.47 and $4,946.91 respectively.

Compound interest is mathematically expressed as;

A = P(1 + r/n)^nt

Given the data in the question;

a) Determine the accrued amount and interest when compounded semiannually ( n = 2 )

A = P(1 + r/n)^nt

A = 8704.56(1 + 0.05/2)^( 2× 9 )

A = 8704.56(1 + 0.025)¹⁸

A = 8704.56(1.025)¹⁸

A = 8704.56(1.025)¹⁸

A = $13,576.14

Note that; A = Principal + Interest.

Interest = $13,576.14 - $8704.56 = $4,871.58

b) Determine the accrued amount and interest when compounded continuously.

A = P × e^(r × t)

A = 8704.56 × e^(0.05 × 9)

A = 8704.56 × e^0.45

A = $13,651.47

Note that; A = Principal + Interest.

Interest = $13,651.47 - $8704.56 = $4,946.91

The future value and interest earned when compounded semiannually are $13,576.14 and $4,871.58 respectively.

The future value and interest earned when compounded continuously are $13,651.47 and $4,946.91 respectively.

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Answer: #11? y^2-14 #12 m^2-64

Step-by-step explanation:

- For the second question you apply the same steps to #12 to get m^2-64

If the expression 16t² models the distance in feet that an object falls during the first t seconds after being dropped, then the distance of the object falls during the time 2 seconds is 64 foot

Given,

The algebraic expression off the distance in feet that an object fall= [tex]16t^{2}[/tex]

Where t is time in seconds

Here,

Time t= 2 seconds

Substitute the values in the expression

[tex]16t^{2}=16(2)^{2}[/tex]

=64 foot

Hence, if the expression 16t² models the distance in feet that an object falls during the first t seconds after being dropped, then the distance of the object falls during the time 2 seconds is 64 foot.

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The number of problems which Darren must correct each week according to the task content is; 900 corrections.

Since it follows from the task content that; the class contains 25 students, each who are each given 3 assignments per week consistent of 12 problems.

On this note, the number of problems he must correct since the homework is assigned distinctly to each student, the number of problems which he must correct is;

= 25 × 12 × 3

= 900 corrections.

However, if the assignment is same for all students; the number of corrections is;

= 12 × 3 = 36 corrections.

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When someone cries guiltily, but the person is angry and sad with him/herself is reflex crying.

Verb, adjective, another adverb, determiner, clause, preposition, or sentence is typically modified by an adverb. Adverbs often answer questions like "how," "in what way," "when," "where," and "to what extent" by expressing things like method, place, time, frequency, degree, level of certainty, etc.

Many adverbs have -ly endings, and they frequently follow the word they modify. Adverbs typically give information about an action's when, where, how, and how much it happened.

It should be noted that in literature, an adverb simply means the part of speech that can be used to qualify a verb.

It should be noted that when someone cries guiltily, but the person is angry and sad with him or herself is reflex crying.

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Answer: x=2/3

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

Step 1: Distribute

-4(x + 7) + 2(2 + x) = -20 ---->  -4x-28 + 4+2x=-20

Step 2: Combine Like Terms

-4x-28+4+2x=-20 ----> -2x-24=-20 ----> -2x=4

Step 3: Divide both sides by -2, solving for x.

-2x=4 ----> -2/-2x = 4/-2 ----> x = -2

Work Shown:

3b+2 ≤ 8

3b+2-2 ≤ 8-2

3b ≤ 6

3b/3 ≤ 6/3

b ≤ 2

Explanation: In the 2nd step, I subtracted 2 from both sides. In step 4, I divided both sides by 3. The inequality sign stays the same. It would flip if we multiplied or divided both sides by a negative number.

If you want to graph this on a number line, then plot a closed filled in circle at 2. Then shade to the left. This visually represents numbers that are 2 or smaller.

Using algebraic expression, For the given expression, the height of the scarf will be 2h - 7

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

Given the height = h

length of the base = 2h - 7

The area will be - 1/2 . B . H

= 1/2 . (2h - 7) . (h)

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Answer:

A shipping box is in the shape of a cube. What is the volume of the shipping box if the length of one side of the box is 4m24n4

Th given sequence is geometric with the common ratio being [tex]\frac{-1}{3}[/tex].

Given: 18, -6, 2, -2/3, ....

Here, [tex]\frac{-6}{18}=\frac{2}{-6}=\frac{\frac{-2}{3}}{2}=\frac{-1}{3}[/tex]

Since, it follows the definition of a geometric progression, the sequence is geometric.

Thus, the given sequence is geometric, having common ratio = [tex]\frac{-1}{3}[/tex].

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Answer:

14ft 8in by 12ft 10in

An equation that could be used to represent the context if a represents the number of miles in the taxi ride is ​1.70 + 1.75a = 17.45

We are given;

Base pick up fee = $1.70

Additional taxi fee per mile covered = $1.75

Total taxi fare = $17.45

Now, if we assume that a represents the number of miles in the taxi ride, then we can form the equation to represent the given scenario above as;

1.70 + 1.75a = 17.45

We conclude that an equation that could be used to represent the context if a represents the number of miles in the taxi ride is ​1.70 + 1.75a = 17.45

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