What is the 3 phases of agile life cycle?.

4y - 56 is the equivalent expression for 8(1/2y - 7)​​

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we substitute the same value(s) for the variable(s).

Given: 8(1/2y - 7)​​

In order to write an equivalent expression, clear the parenthesis:

8(1/2y - 7)​​ = 8(1/2y ) -  8(7)

                = 4y - 56

Therefore, the equivalent expression for 8(1/2y - 7)​​ is 4y - 56

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The results for several randomly selected employees are given below [tex]Y = 11.7 + 1.02x.[/tex]

Below, we will discover the road equation, dissociation for each the management's conduct and fulfillment.

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The cost is minimum per mile traveled  "V = 15 mph".

Given,

In the question:

The cost of fuel to propel a boat through the water (in dollars per hour) is proportional to the cube of the speed. A certain ferry boat uses $100 worth of fuel per hour when cruising at 10 miles per hour.

and, the cost of running this ferry is $675.

To find the speed should it travel so as to minimize the cost per mile traveled.

Now, According to the question:

C(V) ∝ V³

then,

C(V) = KV³

When, C = 100 and V = 10

then, 100 = k[tex](10)^3[/tex]

=> k = 1/10

∴ [C(V) = [tex]\frac{V^3}{10}[/tex]]

As we know,

Total cost per hour,

[tex]C_1[/tex]  = [tex]\frac{V^3}{10}[/tex] + 675

Cost per mile = C/V

Now,

C₂ = [tex]\frac{\frac{V^3}{10}+675 }{V}[/tex]

=> [tex]\frac{V^2}{10} +\frac{675}{V}[/tex]

Then we'll need to discover their derivative as well as set that to zero (0) to minimize it.

[tex]C_2'[/tex],

=> [tex]\frac{2V}{10} - \frac{675}{V^2}[/tex] = 0

=> [tex]\frac{V}{5}[/tex] = [tex]\frac{675}{V^2}[/tex]

On applying cross-multiplication, we get

[tex]V^3[/tex] = 3375

V = 15

So that the cost is minimum at "V = 15 mph".

Hence, The cost is minimum per mile traveled  "V = 15 mph".

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If n pigeons are divided among k pigeonholes and k<n, then some pigeonholes contain at least two pigeons.

Pigeonhole principle- It's given a list of 89 items, 50 are available. we have to show there are at least 2 available items in the list with exactly 9 items apart.

Let's number the items in the list from 1 to 115.

Let "Ai" represents the i th available number.

Let the pigeons be the numbers in the two sequences: a1, a2, a3,...... a50 and a1 + 9, a2 + 9, ...... a50 +9.

Now, pigeonholes be the possible numbers of the items in the sequences, there are k = 89+9 = 98 possible numbers for the items in the sequence and n= 50+50=100 numbers in the two sequences.

n= 100, k=98

Since, k<n ,there are at least 2 numbers in the two sequences that are the same number by the pigeonhole principle. Then need to be some number aj in the sequence a1, a2, a3,...... a50 and some number ai + 9 in the sequence a1 + 9, a2 + 9, ...... a50 +9.

ai + 9 = aj

Thus, there are at least 2 available items ( ai and aj ) that are exactly 9 items apart.

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Answer:

1/6

Step-by-step explanation:

1/2 *1/3=1/6

The key feature f(x) and g(x) have in common is both f(x) and g(x) have the same domain of ([infinity], -[infinity]). Option A is correct.

We are given the functions;

Polynomial function; f(x) = 2x² - 3x + 5

Exponential function; g(x) = 2ˣ - 5

In this question we must analyze the domain, range, x-intercepts, and changing intervals:

The domain of both functions is a set of all real numbers with both functions continuous.

The range of both functions is;

Range of f(x) = (3.875, +∞)

Range of g(x) = (-5, +∞)

The x-intercepts of both functions are;

x-intercept for f(x) is non-existent.

x-intercept for g(x) is (2.322, 0).

Thus, the key feature f(x) and g(x) have in common is both f(x) and g(x) have the same domain of ([infinity], -[infinity]). Option A is correct.

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The three properties of parallel lines are transitive property of parallel lines, symmetric properties of parallel lines and properties cut by transversal.

Properties of parallel lines when cut by a transversal

Two lines when cut by a transversal line are parallel if the corresponding angles so formed are equal. Generally, the corresponding angles are in relative positions and lie along the same side of the transversal.

Two lines cut by a transversal line are said to be parallel if the alternate interior angles so formed are equal. In general, the pairs of the alternate interior are found in the inner side but lie on the opposite sides of the transversal.

Two lines cut by a transversal line are said to be parallell if the alternate exterior angles so formed are equal. In general, the pairs of alternate exterior angles are found on the outer side but lie opposite each other.

The above mentioned are 3 properties of parallel lines.

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The number of ways to select a simple random sample of size 5 from a population of 7 children in a family is equal to 21ways.

As given in the question,

Number of children in the family 'n' = 7

Number of simple random sample of size  = 5  ( without replacement )

Number of ways to select the children defines a population

= ⁷C₅

= ( 7! ) / ( 7 - 5 )! ( 5! )

= ( 7 × 6 × 5! )/ ( 2! ) ( 5! )

= 7 × 3

= 21 ways

Therefore, the number of ways to select children of simple random sample of size 5 is equal to 21ways.

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If your data contradict your hypothesis, it is by no means a failure.

Data that can be measured or gathered using some benchmark objectives, according to your experimental needs. According to the needs of your experiment, the data produced using this method should either be qualitative or quantitative.

Information not obtained through the random selection of study participants or as part of a controlled experiment. In social science research, non-experimental data are frequently employed, especially when collecting experimental data would be prohibitively expensive or immoral. Non-experimental data require more analysis and interpretation than experimental data since the researcher cannot control which people are placed in the treatment and control groups. Nonexperimental data examples include administrative files, test results, and survey data. As well, they are referred to as observational data.

If your data contradict your hypothesis, it is by no means a failure; in fact, it could be more intriguing since you might discover a fresh way to view the facts. In science, it's usual for theories to be wrong, and new investigations frequently begin as a result.

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The total number of pens packed in a box is 3809 pens.

What is an arithmetic operation?

The branch of mathematics known as arithmetic deals with the study of numbers and the numerous operations that can be performed on them. Addition, subtraction, multiplication, and division are fundamental mathematical operations.

Given, A factory produced 475812 pens of one kind

And 651652 pens of another kind.

So, total pens = 475812 + 651652 = 1127464 pens

Total number of boxes = 296 boxes

Now,

Total number of pens packed in a single box = 1127464/296

                                                                            = 3809 pens per box

Hence, the total number of pens packed in a box is 3809 pens.

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By usinf Divison method and Prime Factorization, the factors of the polynomial are x=1,2,2

A polynomial is an expression made up of variables, constants, and exponents that is combined using mathematical operations such as addition, subtraction, multiplication, and division.

cubic polynomial = x³ - 5x² + 8x - 4

suppose  x = 1 ,

x - 1 = 0

So, one of the factor = (x - 1)

Now,

By Division method

x³ - 5x² + 8x - 4 = Dividend

 x - 1 = Divisor

x² - 4x + 4 = Quotient

Now for x² - 4x + 4

x² - 2x- 2x + 4

(x-2)(x-2)

x=2,2

so, factors are x=1,2,2

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This expression (9+10) is a numerical expression. And this is not a variable expression.

An expression made up only of numbers and operations is termed as numerical expression. While an expression written with a variable in it, is termed as variable expression. But this Both expression, that is a numerical expression and a variable expression can include powers. For example, from the given question 9 + 10 is a numerical expression, 9 and 10 are not variables. And in the expression, for example: 9a + 10b is a variable expression in which 9a and 10b are variable terms.

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Complete question- Identify the expression as a numerical expression or a variable expression. For a variable expression, name the variable.

9 + 10

A) It is a variable expression, and + is the variable.

B) It is a variable expression, and there is no variable.

C) It is a variable expression, and 9 and 10 are the variables.

D) It is a numerical expression.

Answer:

This expression (9+10) is a numerical expression. And this is not a variable expression.

Step-by-step explanation:

Hence, the property is based on addition property,

OG=NQ and GE=UY,

so OG +GE=NQ +UY.

When the same amount is added to both sides of an equation, the equation does not change, according to the addition property of equality. A = B remains valid even if a number x is added to both sides of the equation. It can be mathematically stated as A + x = B + x.

As demonstrated below

OG=NQ and GE=UY,

so OG +GE=NQ +UY

So this property leads to addition property.

So the correct option regarding this,

Addition property.

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Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an expression or equation made up of variables, constants, and exponents.

Find the x-intercepts in step one.

Solve the equation to obtain the x-intercepts.

Find the y-intercepts in step two.

Put x=0 in the equation to determine the y-intercepts.

STEP 3: Determine the final action

A polynomial's final behavior and the final behavior of a leading term are identical.

STEP 4: Locate the pivotal moments

We must locate the first derivative of p in order to identify the turning point (x)

The first derivative's zeros are where the turning point's x coordinate is situated.

Substituting the aforementioned value into p will yield the y coordinate (x).

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The odds against her choosing a strawberry-flavored piece is 5/11.

Probability is the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The odds against her choosing a  strawberry-flavored piece = 1 - probability that she chooses a strawberry-flavored piece

The odds against her choosing a  strawberry-flavored piece = 1 - 6/11

The odds against her choosing a  strawberry-flavored piece = 5/11

Here is the complete question:

jenny has a box of candies with different flavors. she will randomly choose one piece of candy. the probability that she chooses a strawberry-flavored piece is 6/11. what are the odds against her choosing a strawberry-flavored piece?

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The ratio of the larger circle's circumference to the smaller circle's circumference is  8π : π.

Given info;

There are two circles, one with a radius of 1/4 and the other with a radius of 2.

To know the ratio of the larger circle's circumference to the smaller circle's circumference,

Let,

Circle's circumference = π * diameter

The circumference of the smaller circle = π/2

The diameter of the larger circle = 4π

Now,

The ratio of the circumference of the larger circle to the circumference of the smaller circle is,

⇒ 4π : π/2

    8π : π

Hence, the ratio is  8π : π.

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If p(x) and q(x) are arbitrary polynomials of degree at most 2 then

||p||||q|| = 26([tex]\sqrt{640}[/tex]) and angle between p(x) and q(x) is 0.233.

Given that

<p,q> = p(-1)q(-1) + p(0) q(0) + p(3)q(3)

and p(x) = 2x²+ 6 , q(x)= 4x²-4x

then the values of p and q at x = -1,0,3 are given as;

x = -1,

p(-1) = 2(-1)² + 6 = 8   ,    q(-1) = 4(-1)² - 4(-1) = 8

x = 0,

p(0) = 2(0)² + 6 = 6   ,    q(0) = 4(0)² - 4(0) = 0

x = 3,

p(3) = 2(3)² + 6 = 24  ,  q(3) = 4(3)²- 4(3) = 24.

<p,q> = p(-1)q(-1) + p(0)q(0) + p(3)q(3)

         = (8)(8) + (6)(0) + 24(24)

         = 64 + 0 + 576

<p,q> = 640

Now we have to find ||p|| ||q||, for this we'll find ||p|| and ||q||

||p|| = [tex]\sqrt{ < p,p > }[/tex]

     = [tex]\sqrt{8(8) + 6(6) + 24(24)}[/tex]

     = [tex]\sqrt{676}[/tex]

||p|| = 26

and

||q|| = [tex]\sqrt{ < q,q > }[/tex]

      =[tex]\sqrt{8(8) + 0(0) + 24(24)}[/tex]

||q||  =[tex]\sqrt{640}[/tex]

∴||p||||q|| = 26([tex]\sqrt{640\\[/tex])

Now we have to find angle between p(x) and q(x),

∴ α = cos⁻¹[tex]\frac{ < p,q > }{||p||||q||}[/tex]

      = cos ⁻¹ [tex]\frac{640}{26(\sqrt{640}) }[/tex]

      = cos ⁻¹ [tex]\frac{4\sqrt{10} }{13}[/tex]

  α  = 13.34°

In radian

α = 0.233.

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By using the concept of integration, it can be proved that

The absolute value of the integral is less than or equal to the integral of the absolute value.

What is integration?

Integration is the process of adding of different individual parts into a whole.

Integration is the reverse of differentiation.

Integration is used to find the area under curve

Let [tex]f^+(x)[/tex] = max{f(x), 0} and [tex]f^-(x)[/tex] = -min{f(x) , 0}

[tex]f^+(x) + f^-(x) = \frac{1}{2}[f(x) + 0 + |f(x) - 0| - f(x) - 0+|f(x) -0|] = |f(x)|\\ f^+(x) - f^-(x) = \frac{1}{2}[f(x) + 0 + |f(x) - 0| + f(x) + 0-|f(x) -0|] = f(x)\\[/tex]

[tex]|\int^a_bf| = |\int^a_bf^+ -\int^a_b f^-| \leq \int^a_bf^+ + \int^a_bf^- = \int^a_b (f^+ + f^-) = \int^a_b|f|[/tex]

So [tex]|\int^a_bf|\leq\int^a_b|f|[/tex]

So, the absolute value of the integral is less than or equal to the integral of the absolute value.

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Answer: The answer is $6.00.

Step-by-step explanation: 25+5=30 then, 36-30=6.00

(I don't know if it makes sense to you, but the answer is $6.00)

(Also, can I get brainly for this?)

Geological timeline is based on the presence of fossils on the rocks of various sequences, and also the classification of rock types and the correlation of rocks of different locations.

The purpose that geological timeline serve and reason scientist do make it, is portray the history of the Earth.

Therefore, geologic time scale serves as events as regards Earth history.

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The classification of rock types, the correlation of rocks from diverse locations, and the presence of fossils on the rocks of distinct sequences are all used to create the geological timeline.

Geological timelines have a purpose, and scientists create them in order to depict Earth's history.

(A) The relationship between geological strata and events based on chronological time can be shown using a geological timeline.

(B) The scientist can use this information to investigate events and their frequency and determine whether there is a possibility that a specific event will occur again.

(C) A sun eclipse, which often happens at some point in time, could serve as an illustration of this occurrence.

(D) Rocks and fossils that depict Earth's past can be found thanks to the geologic time scale.

(E) As a result, the geologic time scale provides information about historical events on Earth.

Therefore, the classification of rock types, the correlation of rocks from diverse locations, and the presence of fossils on the rocks of distinct sequences are all used to create the geological timeline.

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Answer:

60

Step-by-step explanation:

the 6 is in the tens place so it is worth 60

Hopes this helps please mark brainliest

Answer: 60

Step-by-step explanation: the value of 263.7  is; 60 pls mark brainly i really need it pls i neeed it its important to me bc i have a gammy who just passed away last week

The first three terms are 3,16,39 and the 10th term is 480.

What is Arithmetic progression?

now,

t₁ = 5(1)² - 2(1)

t₁ = 5 - 2

t₁ = 3

t₂ = 5(2)² - 2(2)

t₂ = 5(4) - 4

t₂ = 16

d = t₂ - t₁

d = 16 - 3

d = 13

t₃ = 5(3)² - 2(3)

t₃ = 45 - 6

t₃ = 39

t₁₀ = 5(10)² - 2(10)

= 500 - 20

t₁₀ = 480

Hence, the first three terms are 3,16,39 and the 10th term is 480.

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The obtained value of x after solving the equation (x-3)² + 9 = 0 by the square root principle will be x=3+31,3-3i. Option d is correct.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,

(x-3)² + 9 = 0

(x-3)²= -9

(x-3)=√-9

(x-3)=√9×√-1

(x-3)=±3i

x=3±3i

Thus, the obtained value of x after solving the equation (x-3)² + 9 = 0 by the square root principle will be x=3+31,3-3i. Option d is correct.

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The area of circle c, which passes though points w and z is 324[tex]\pi[/tex].

Point D here is the midpoint of the outer circle that we aim to find the area of. Here, the circle C has a diameter of WZ and radii of WC and CZ

We know that YZ = YD = 10 cm is as measured

Let DC be denoted by [tex]x[/tex]   and CY be denoted by [tex]10-x[/tex].

The radius of the outer circle can be written as [tex]8+8+x[/tex]  or [tex]10+10-x[/tex] which we can equate by following to find the value of [tex]x[/tex]

By equating both sides we get

⇒ 8+8+x = 10+10-x

⇒ 16+x = 20-x

⇒ 2x = 4

⇒ x = 2

Putting the value of x =2 in 8+8+x we get 18 as a radius.

Thus, area of circle =[tex]\pi 18^{2}[/tex] = 324[tex]\pi[/tex]

Hence, the area of circle c, which passes though points w and z is 324[tex]\pi[/tex].

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The y-intercept of the given parabola is y = -12.

What is the y-intercept for the parabola?

A graph's y-intercept is the point at which the graph crosses the y -axis. (Because a function must pass the vertical line test, it can only have one y-intercept.) The y-intercept is frequently referred to simply as the y -value.

On a graph, the y-intercept can be found by finding the value of y when x=0. This is the point at which the graph crosses through the y-axis.

The given equation of the parabola is

                        y = x² - x - 12

To find the y-intercept of the given parabola we have to put x = 0 in the above equation, we get

                       y = (0)² - 0 - 12

                      y = -12

Hence, the y-intercept of the given parabola is y = -12.

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By Changing the order of integral we can find five iterated integral that are equal to [tex]\int\limits^2_0 \int\limits^2_y \int\limits^y_0 {f(x,y,z)}\, dz dx dy[/tex]

Changing the order of integral means switching the dx dy order of integration into dy dx .

According to the question ,

The given integral is

=> [tex]\int\limits^2_0 \int\limits^2_y \int\limits^y_0 {f(x,y,z)}\, dz dx dy[/tex]

where;

the region is bounded by 0 ≤ z ≤ y, y≤ x ≤ 2, 0 ≤ y ≤ 2

(a) Changing the order of integral from dzdxdy to dzdydx

When y= 0 => x = y

and y = 2 => x = 2

[tex]\int\limits^2_0\int\limits^x_0 \int\limits^y_0 {f(x, y ,z )} \, dz dy dx[/tex]

(b) Now , changing the order of integral from dzdxdy to dxdzdy

When x = 0 => z = 0

x = 2 => z =  y

[tex]\int\limits^2_0\int\limits^y_0 \int\limits^2_y {f(x, y ,z )} \, dx dz dy[/tex]

(c) Now ,Changing the order of integral from dzdxdy to dxdydz

[tex]\int\limits^2_0\int\limits^2_z \int\limits^2_y {f(x, y ,z )} \, dxdydz[/tex]

(d) Now ,Changing the order of integral from dzdxdy to dydzdx

[tex]\int\limits^2_0\int\limits^x_0 \int\limits^x_z {f(x, y ,z )} \, dydzdx[/tex]

(e) Now ,Changing the order of integral from dzdxdy to dydxdxz

[tex]\int\limits^2_0\int\limits^2_0 \int\limits^x_0 {f(x, y ,z )} \, dydxdz[/tex]

Are the five iterated integral that are equal to the    integral         [tex]\int\limits^2_0 \int\limits^2_y \int\limits^y_0 {f(x,y,z)}\, dz dx dy[/tex].

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Since the lengths of both diagonals are given by the square root of the sum of the squares of their coordinates, they have the same length. Therefore, the diagonals of a b c d are congruent.

Triangles with the same size, form, and arrangement are said to be congruent. This indicates that all three of the triangle' side lengths are congruent, or equal in size. Congruent triangles can be rotated or reversed, yet their congruence remains constant.

The Side-Side-Side (SSS) Congruence Postulate argues that if three sides of one triangle are identical in length to the corresponding sides of another triangle, the halves of are congruent.

If two angles and a side of one triangle are congruent to the corresponding angles and sides of another triangle, then the two triangles are congruent. As an alternative, one can apply the Angle-Side-Angle (ASA) Congruence Postulate.

How to solve?

The distance formula is given by d = √((x2 - x1)^2 + (y2 - y1)^2), where d is the distance between the two points, (x1, y1) and (x2, y2).

To find the length of diagonal a c, we plug in the coordinates of points a and c into the distance formula: d = √((c - 0)^2 + (d - 0)^2) = √(c^2 + d^2)

To find the length of diagonal b d, we plug in the coordinates of points b and d into the distance formula: d = √((a - 0)^2 + (b - 0)^2) = √(a^2 + b^2)

Since the lengths of both diagonals are given by the square root of the sum of the squares of their coordinates, they have the same length. Therefore, the diagonals of a b c d are congruent.

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The energy that an object has as a result of being in a gravitational field is known as gravitational potential energy. It may be expressed as,

U = mgh

Where, m is the object's mass, g is its gravitational field, and h is its height.

The body has a weight of 2 kg and a height of 60 cm. the gravitational potential energy is as follows:

U₁ = 60× 2×g

U₁ = 120kg

The body has a weight of 1 kg and a height of 60 cm. the gravitational potential energy is as follows:

U₂ = 60× 1×g

U₂ = 60g

A body that weighs 4 kg and measures 30 cm in height. the gravitational potential energy is as follows,

U₃ = 4 ×30× g

U₃ = 120g

A body that weighs 3 kg and measures 45 cm in height. the gravitational potential energy is as follows,

U₄ = 3×45×g

U₄ = 135g

The body  has a weight of 2 kg and a height of 30 cm. the gravitational potential energy is as follows,

U₅= 2×30× g

U₅ = 60g

A body that weighs 8 kg and measures 15 cm in height. the gravitational potential energy is as follows,

U₆ = 8 ×15×g

U₆ = 120g

Consequently, the initial gravitational potential energy of the specified pendulum has the following rank:

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Using compound interest formula [tex]A = p(1 +\frac{r}{n} )^{nt}[/tex] , the the amount after 5 years is  $15,095.39

The total amount a college student has in a saving account if 13000 dollars was invested and earned 3% compounded quarterly for 5 years can be calculated as follows:

Therefore, it is compounded quarterly which means  4 times.  

[tex]A = p(1 +\frac{r}{n} )^{nt}[/tex]

where

Therefore,

p = 13000 dollars

t = 5 years

n = 4

r = 3% = 0.03

Therefore,

[tex]A = p(1 +\frac{r}{n} )^{nt}[/tex]

[tex]A = 13000(1+ \frac{0.03}{4} )^{(4)(5)}[/tex]

A = 13,000.00(1 + 0.0075)²⁰

A = $15,095.39

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Answer: A googolplexian

Step-by-step explanation: A googolplexian is a number with a googol of zeros after it.

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