the differences of 4 and a number x is 14

Answers

Answer 1

Answer:

x=18

Step-by-step explanation:

x-4=14

  +4  +4

x=18

Answer 2
i think it might be 10? :)

Related Questions

please help me with this question
step by step please

Answers

Answer:

[tex]36.77150[/tex], or 37 (rounded)

Step-by-step explanation:

1. [tex]\sqrt{97} = 9.84885[/tex]

2. [tex]9.84885[/tex] + [tex]8.169178744[/tex] = [tex]18.01803[/tex]

3. [tex]\frac{18.01803}{0.49}[/tex]

4. = [tex]36.77150[/tex]

You can simplify 36.77150 to 37

... Hope this helped! Have a wonderful New Year!

The value of the equation is A = 36.77

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = ( √97 + 2.014³ ) / 0.49   be equation (1)

On simplifying the equation , we get

√97 = 9.8488578

2.014³ = 8.169178744

Substituting the values in the equation , we get

A = ( 9.8488578 + 8.169178744 ) / 0.49

A = 18.018036544 / 0.49

A = 36.77150

Therefore , the value of A is 36.77

Hence , the equation is A = 36.77

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Braden salazar was deployed in a combat zone for all of 2021. He is married and has two children. Braden's nontaxable combat pay in 2021 is $14,000. His wife worked part-time while braden was deployed and earned $7,000. What is the maximum amount of earned income the salazars can report for eitc purposes in 2021?.

Answers

The amount of earned income the Salazars can report for EITC purposes in 2021 is $21,000.

The maximum amount of earned income the Salazars can report for EITC purposes in 2021 is $21,000. This is calculated by adding Braden's nontaxable combat pay ($14,000) and his wife's earned income ($7,000).

Formula:

Maximum Earned Income for EITC = Braden's Nontaxable Combat Pay + Wife's Earned Income

Maximum Earned Income for EITC = $14,000 + $7,000

Maximum Earned Income for EITC = $21,000

Learn more about Amount here :

https://brainly.com/question/28970975

#SPJ4

A runner sprinted for 198 yards . How many feet is this?

Answers

Answer: 594 feet
.
.
.
.

plss hellppp, I've been stuckk on this questionn

Answers

Answer:

we can conclude that there are 3 solid combined in this

a + b + c = d as the total volume

[(6)(6)(2)] + [(6)(3)2)] + [(6)(2)(2)]

= 72 + 36 + 24

= 132 ft³

Step-by-step explanation:

heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ  -{ elyna s }-

What is the mean deviation of first 10 even natural numbers A 5 B 5.5 C 10 D 10 5?

Answers

To find the mean deviation of a set of numbers, you need to first find the average (mean) of the set, and then for each number in the set, subtract the mean and take the absolute value of the result. The mean deviation is then the average of these absolute values.

For the first 10 even natural numbers (2, 4, 6, 8, 10, 12, 14, 16, 18, 20), the mean is (2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20) / 10 = 60/10 = 6.

To find the mean deviation, you would subtract the mean from each number, take the absolute value of the result, and then average those values. The mean deviation of the first 10 even natural numbers is therefore (|6 - 2| + |6 - 4| + |6 - 6| + |6 - 8| + |6 - 10| + |6 - 12| + |6 - 14| + |6 - 16| + |6 - 18| + |6 - 20|) / 10 = (4 + 2 + 0 + 2 + 4 + 6 + 8 + 10 + 12 + 14) / 10 = 5.5.

So the answer is B: 5.5.

What are natural numbers in mathematics?

Numbers in Nature When counting or organizing objects, the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are utilized. Absolute numbers are integers and zeros. neither a fraction nor a decimal.

To know more about natural number visit:

https://brainly.com/question/1687550

#SPJ4

in example 11.3 (p. 270), when bob jumps on the cart, what kind of collision is this?

Answers

Since Bob jumps on the cart in example 11.3 (p. 270), a kind of collision which this represents is: d) Perfectly inelastic.

What is an elastic collision?

An elastic collision can be defined as a type of collision between two objects wherein the total kinetic energy of the two objects remains the same after the collision. This ultimately implies that, there isn't a net loss of momentum and kinetic energy within the system due to the collision.

What is an inelastic collision?

An inelastic collision can be defined as a type of collision between two objects wherein the total kinetic energy of the two objects changes the same after the collision. This ultimately implies that, there is a net loss of momentum and kinetic energy within the system due to the collision.

In this context, we can reasonably infer and logically deduce that the coefficient of restitution would be equal to zero (0) when bob jumps on the cart, resulting in a perfectly inelastic inelastic collision.

Learn more about collisions here: brainly.com/question/7221794

#SPJ1

Complete Question:

In example 11.3 (p. 270), when Bob jumps on the cart, what kind of collision is this?

a) Inelastic, but not perfectly inelastic

b) Rigid

c) Elastic

d) Perfectly inelastic.

How do you write numbers in Excel?

Answers

Go to the Home tab and choose Number from the drop-down menu. In addition, you have the following choices: When choosing Number, press CTRL + 1. Right-click the cell or cell range, choose Format Cells..., then choose Number.

what are numbers ?

To calculate and represent a quantity, a number, an arithmetic value, is needed. Numbers are represented by mathematical inscriptions, such the letter "3." Using logical symbols or digits to represent numbers is known as a number system.

here ,

The cells you want to format should be selected.

Place your cursor over the Dialog Box Launcher next to Number on the Home tab.

Click Fraction in the Category list.

Select the desired fraction format type from the Type list by clicking it.

To know more about numbers visit :-

https://brainly.com/question/17429689

#SPJ4

Which is not a solution to the inequality: 3x+13= -8.
A. -8
B. -7
C. -6
D.-5

Answers

Answer:

All the options except for option B.

Answer:

A,C and D are not.

where as B is solution

The coordinate 2 has a weight of 2,

the coordinate 3 has a weight of 2,

and the coordinate 10 has a weight of 1.

Find the weighted average.

Answers

The coordinates' weighted average is 4

How is the weight average calculated?The "weighted average" is the average of a group of numbers, each of which has a unique "weight" or value. Add the results after dividing each number by its weight to obtain the weighted average. A weighted average or mean is one in which, as opposed to considering each item equally, each item being averaged is multiplied by a number (weight) based on the item's relative importance.

The given parameters are:

Coordinate 2 has a weight of 2

Coordinate 3 has a weight of 2

Coordinate 10 has a weight of 1

The weight average is then calculated as:

Weight average = Sum of (Weight * Coordinate)/Sum of Weights

So, we have:

Weight average = (2 × 2 + 3 ×2 + 10 × 1)/(2 + 2 + 1)

Evaluate the quotient

Weight average = 4

Hence, the weight average of the coordinates is 4.

To learn more about Average refer to:

https://brainly.com/question/28368339

#SPJ1

You are refilling your inventory of welcome packet for new cutomer. For each packet, it take 5 minute to print, 2 minute to organize, and 5 minute to proofread. The ink in the printer will need to be changed every 5 packet, which take 3 minute. You have 3 hour to dedicate to thi tak. Aume thathe ink in the printer wa already changed before beginning and that you have to complete each packet before completing any tep for the next one. How many welcome packet will you be able to fully complete in the time allotted?

Answers

Answer:

To complete each welcome packet, it will take a total of 5 minutes to print + 2 minutes to organize + 5 minutes to proofread = 12 minutes.

If it takes 3 minutes to change the ink in the printer every 5 packets, you will need to change the ink in the printer every 5 packets * 12 minutes per packet = 60 minutes.

In total, it will take you 60 minutes to change the ink in the printer + 12 minutes per packet to complete each packet, for a total of 60 minutes + (12 minutes/packet * number of packets) = 72 minutes per packet.

In the time allotted, you have 3 hours * 60 minutes/hour = 180 minutes.

Therefore, you will be able to fully complete 180 minutes / 72 minutes per packet = 2.5 packets.

Rounded down to the nearest whole number, you will be able to fully complete 2 welcome packets in the time allotted.

Step-by-step explanation:

How do you find the vertical asymptotes of the following function?

Answers

The vertical asymptotes of a function can be found by setting the denominator equal to zero and solving for x. This will give the x-values that the function cannot approach as it approaches infinity.

The vertical asymptotes of a function can be found by setting the denominator equal to zero and solving for x. This will give the x-values that the function cannot approach as it approaches infinity.In other words, a vertical asymptote is a line that the graph of a function approaches but never touches. This line is the result of the denominator of a rational function becoming equal to zero. When this happens, the function is undefined at that value of x. To find the vertical asymptotes of a function, one must first factor the denominator and set each factor equal to zero. Then, solve each factor for x to get the x-values of the vertical asymptotes. It is important to note that a vertical asymptote can also appear if the numerator of a rational function is equal to zero. In this case, the vertical asymptote is the x-value at which the numerator is equal to zero. The vertical asymptotes of a function can help us to understand the behavior of the function and its graph.

Learn more about function here

https://brainly.com/question/29633660

#SPJ4

How many rows and columns are there in Excel 2007?

Answers

A maximum of 1,048,576 rows are allowed in Microsoft Excel 2007. 15,384 columns. Columns and rows make up an Excel spreadsheet.

what are columns and rows ?

The arrangement of items next to or horizontally across one another is referred to as a row. As a vertical grouping of items according to category, a column can be said to exist. Left to right is the direction of arranging. From top to bottom, the set up is made. At far right is where the total is displayed.

here

Numbers 1, 2, 3, and 4 are used to designate the rows, which are horizontally oriented.

A, B, C, D, etc., are used to denote the letters that run horizontally along the columns.

Cells are what happen when a column and row intersect.

A maximum of 1,048,576 rows are allowed in Microsoft Excel 2007. 15,384 columns.

To know more about columns and rows visit :-

https://brainly.com/question/15171742

#SPJ4

What is ten more than twenty?

Answers

10 more than 20 will be Addition of 10 and 20 which is supposed to be 10 plus 20 = 30.

Addition is the process of combining items and counting them as a single large group. The process of adding two or more numbers together is known as addition in mathematics. The terms addends and total both refer to the numbers that are added and the result of the operation.

The SUM is the result or conclusion that results from adding two or more integers. Addends are the numbers that are added.

We simply changed "more than" to "plus" and found the answer to the straightforward math issue. It is equivalent to 10 + 20 to add 10 to 20. Therefore, the answer is 30 once more.

Learn more about Addition:

brainly.com/question/29464370

#SPJ4

What are the six steps of copying an angle?

Answers

Angle can be copied by following 6 steps.

How to copy an angle?

These are the steps to copy an angle:

1.Make point B the center of the working line (l).

2.Create an arc (A, r) that intersects the two sides of angle A at locations S and T by setting your compass to any radius r.

3.Create an arc (B, r) with a point V where it intersects the line l.

4.Build an arc (S, ST).

5.Create an arc at point W where (V, ST) intersects (B, r).

6.You're done after you draw line BW.

Angle can be copied by following 6 steps.

To refer more about Angles, visit:

https://brainly.com/question/25716982

#SPJ4

Which is a list of all the roots of
x3 −x2 =4−4x?
F {−1,2,−2} H {−1,2i,−2i}
G {1,2,−2} J {1,2i,−2i}

Answers

Answer:

J

Step-by-step explanation:

[tex]x^3-x^2+4x-4=0 \\ \\ x^2(x-1)+4(x-1)=0 \\ \\ (x^2+4)(x-1)=0 \\ \\ (x-2i)(x+2i)(x-1)=0 \\ \\ x=1, 2i, -2i[/tex]

What are the factors of the expression 2x² 5x 12?

Answers

The factors of the expression 2[tex]x^{2}[/tex] -5x -12 are (x - 4) and (2x+3)

given that

2[tex]x^{2}[/tex] -5x -12 =0

in the above equation

a = 2[tex]x^{2}[/tex]

b =-5x

c = -12

now we need to multiply a and c

a * c = 2[tex]x^{2}[/tex] * -12 = -24[tex]x^{2}[/tex]

now split b into two terms such that sum is equal to -5x  and their product is -24

-5x = -8x +3x

2[tex]x^{2}[/tex] -5x -12 =0

2[tex]x^{2}[/tex] -8x + 3x -12 =0

2x(x - 4)+3(x-4) =0

(2x+3)(x-4) =0

The factors of the expression 2[tex]x^{2}[/tex] -5x -12 are (x - 4) and (2x+3)

To learn more about factors:

https://brainly.com/question/9070174

#SPJ4

I'm giving all the points I got man, pls help me with this geometry question

Answers

Answer:

Vertex = (0,0)

Focus = (0, -1/8)

Axis of symmetry; x = 0

directrix, y = 1/8

graph: (attached picture)

Step-by-step explanation:

heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ  -{ elyna s }-

Answer:

Vertex = (0,0)

Focus = (0, -1/8)

Axis of symmetry; x = 0

directrix, y = 1/8

Step-by-step explanation:

The population of a city has increased by 27% since it was last measured. If the current population is 63,500 , what was the previous population?

Answers

Answer:

50000

Step-by-step explanation:

We know it increase 27% since it was last measured

100% + 27% = 127%

We have to find 1%

We take 63500 divided by 127 = 500

500 times 27 = 13500

Now we have to take 63500 and subtract by 13500 to find the previous population.

63500 - 13500 = 50000

So, the previous population is 50000

3.6432 rounded to the nearest hundredth

Answers

Answer: 3.64

Step-by-step explanation:

3.64

What is the Nearest Hundredth?

Nearest hundredth is the second digit after the decimal point.

How to Calculate Rounding to the Nearest 100th?

If the digit after hundredth is greater than or equal to 5, add 1 to hundredth. Else remove the digit. Example

124.586

The third digit of right of decimal point is 6

The second digit after decimal point is 8 which is greater than 5

So add 1 to 8

Result = 124.59

its 3.6400 I believe since you are rounding to the nearest hundredth which would be in the 2nd place value to the right of the decimal and 32 would round down to 0.

find the probability with which bob plays l in the mixed strategy equilibrium (round your answer to the 4th decimal).

Answers

The probability with which bob plays l in the mixed strategy equilibrium = 0.9090

What is Probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here suppose Alice plays U with probability P and D * with probability ( 2 - P)

Therefore, when Bob plays L, Bob gets payoff 8 with probability P and (2) with probability ( 2 - P). Hence

= 8 * P + 2 * ( 2 - P)

= 8P +4 - 4P

= 4 + 8P

Also, when Bob plays R, Bob gets pay off 4 with probability P and 7 probability (2-P). Hence expected payoff is

= 4*P+7(2-P)

= 4P+14-7P

=14-3P

At mixed strategy nash equilibrium the expected payoffs are equal. hence,

4 +8P = 14-3P

3P+8P = 14-4

11P = 10

P = 10/11

P = 0.9090

In the mixed strategy equilibrium, Bob's chances of playing l are equal to 0.9090.

For detailed question see attachment

To learn more about Probability visit:

brainly.com/question/11234923

#SPJ4

Here suppose Alice plays U with probability P and D * with probability ( 2 - P)

Therefore, when Bob plays L, Bob gets payoff 8 with probability P and (2) with probability ( 2 - P). Hence

= 8 * P + 2 * ( 2 - P)

= 8P +4 - 4P

= 4 + 8P

Also, when Bob plays R, Bob gets pay off 4 with probability P and 7 probability (2-P). Hence expected payoff is

= 4*P+7(2-P)

= 4P+14-7P

=14-3P

At mixed strategy nash equilibrium the expected payoffs are equal. hence,

4 +8P = 14-3P

3P+8P = 14-4

11P = 10

P = 10/11

P = 0.9090

In the mixed strategy equilibrium, Bob's chances of playing l are equal to 0.9090.

find the equation of tangent normal to the curve y=3x-x^3 at points where it cuts the x-axis​

Answers

Correct Question:-

Find the equations of lines normal to the curve [tex]\rm{y=3x-x^3}[/tex] at points where it cuts the x axis.

[tex]\quad[/tex]

Solution:-

The given curve,

[tex]\longrightarrow\rm{y=3x-x^3}[/tex]

Differentiating wrt x we get,

[tex]\longrightarrow\rm{\dfrac{dy}{dx}=3-3x^2}[/tex]

This term is slope of tangent on the curve at a point (x, y).

Taking reciprocal,

[tex]\longrightarrow\rm{\dfrac{dx}{dy}=\dfrac{1}{3-3x^2}}[/tex]

and multiplying by -1,

[tex]\longrightarrow\rm{-\dfrac{dx}{dy}=\dfrac{1}{3x^2-3}}[/tex]

Now this term is slope of normal on the curve at a point (x, y).

[tex]\longrightarrow\rm{n(x)=\dfrac{1}{3(x^2-1)}}[/tex]

[tex]\quad[/tex]

The points where the curve [tex]\rm{y=3x-x^3}[/tex] cuts x axis is obtained by equating y = 0.

[tex]\longrightarrow\rm{0=y}[/tex]

[tex]\longrightarrow\rm{0=3x-x^3}[/tex]

[tex]\longrightarrow\rm{0=x(3-x^2)}[/tex]

[tex]\longrightarrow\rm{0=x(\sqrt3-x)(\sqrt3+x)}[/tex]

[tex]\Longrightarrow\rm{x\in\left\{-\sqrt3,\ 0,\ \sqrt3\right\}}[/tex]

So the points where the curve cuts x axis are (-√3, 0), (0, 0) and (√3, 0).

[tex]\quad[/tex]

Consider the point (-√3, 0).

The slope of normal at this point is,

[tex]\longrightarrow\rm{n(-\sqrt3)=\dfrac{1}{3((-\sqrt3)^2-1)}}[/tex]

[tex]\longrightarrow\rm{n(-\sqrt3)=\dfrac{1}{6}}[/tex]

Then equation of normal at this point is,

[tex]\longrightarrow\rm{y-0=\dfrac{1}{6}(x+\sqrt3)}[/tex]

[tex]\longrightarrow\bf{x-6y+\sqrt3=0}[/tex]

[tex]\quad[/tex]

Consider the point (0, 0).

The slope of normal at this point is,

[tex]\longrightarrow\rm{n(0)=\dfrac{1}{3((0)^2-1)}}[/tex]

[tex]\longrightarrow\rm{n(0)=-\dfrac{1}{3}}[/tex]

Then equation of normal at this point is,

[tex]\longrightarrow\rm{y-0=-\dfrac{1}{3}(x-0)}[/tex]

[tex]\longrightarrow\bf{x+3y=0}[/tex]

[tex]\quad[/tex]

Consider the point (√3, 0).

The slope of normal at this point is,

[tex]\longrightarrow\rm{n(\sqrt3)=\dfrac{1}{3((\sqrt3)^2-1)}}[/tex]

[tex]\longrightarrow\rm{n(\sqrt3)=\dfrac{1}{6}}[/tex]

Then equation of normal at this point is,

[tex]\longrightarrow\rm{y-0=\dfrac{1}{6}(x-\sqrt3)}[/tex]

[tex]\longrightarrow\bf{x-6y-\sqrt3=0}[/tex]

[tex]\quad[/tex]

Hence the equations of lines normal to the curve [tex]\rm{y=3x-x^3}[/tex] at points where it cuts x axis are,

[tex]\longrightarrow\left\{\begin{array}{ll}\bf{x-6y-\sqrt3}&\bf{=0}\\\bf{x+3y}&\bf{=0}\\\bf{x-6y+\sqrt3}&\bf{=0}\end{array}\right.[/tex]

Is the system of linear equations 2x 3y 9 0 and 4x 6y 18 consistent justify your answer?

Answers

Consistency exists inside the linear equation system.

To determine whether a system of linear equations is consistent, you can try to solve the system to find the values of the variables that satisfy all of the equations. The system is consistent if it has at least one solution. If the system has no solutions, then it is inconsistent.

In this case, the system of linear equations is 2x + 3y - 9 = 0 and 4x + 6y - 18 = 0.

To solve this system, you can use algebraic methods such as substitution or elimination. Using substitution, you can solve one of the equations for one of the variables in terms of the other, and then substitute this expression into the other equation to solve for the other variable. For example, you could solve the first equation for y:

2x + 3y - 9 = 0

3y = 9 - 2x

y = (9 - 2x)/3

Then, you could substitute this expression for y into the second equation to solve for x:

4x + 6((9 - 2x)/3) - 18 = 0

4x + (54 - 12x)/3 - 18 = 0

(12x - 54)/3 + 4x - 18 = 0

(12x - 72)/3 = 0

12x - 72 = 0

12x = 72

x = 6

Substituting this value for x back into the first equation, you can solve for y:

2(6) + 3y - 9 = 0

12 + 3y - 9 = 0

3y = -3

y = -1

Therefore, the solution to this system of equations is x = 6 and y = -1. Since there is at least one solution, this system is consistent.

The complete question is:-

Is the system of linear equations 2x+3y-9=0 and 4x+6y-18=0 consistent? justify your answer.

To learn more about linear equations, refer;-

https://brainly.com/question/11897796

#SPJ4

What stays the same when you perform a rigid motion transformation?

Answers

When a point or object is moved but its size and shape don't change, it is said to have undergone rigid motion, sometimes referred to as a rigid transformation.

What is rigid motion transformations?

The separation between each pair of the geometric object's points is preserved during a rigorous change of the object. In other words, a rigid transformation maintains the object's size and shape. For instance, the rigid transformation of a triangle retains the angles and lengths of the triangle. Imagine a stiff shape distortion, similar to a cardboard shape. The form remains the same after being pushed left and right, rotated, and flipped.

When the mold was created using putty, the opposite was true. The thing can then be twisted and stretched. These conversions, nevertheless, are not exact. Stretching a form alters the distances between each pair of its points.

To know more about rigid transformations visit:
https://brainly.com/question/29175049

#SPJ4

What are the 3 types of real numbers?

Answers

Three types of numbers fall under the heading of "real numbers," which we will discuss in a moment. Real numbers include all types of numbers, including whole, rational, and irrational numbers.

What is Real number?

A real number is a quantity that may be represented mathematically by an endless decimal expansion. In contrast to the counting-derived natural numbers 1, 2, 3,..., real numbers are used to quantify constantly altering quantities such as size and time. Rational and irrational numbers are both included in real numbers. Real numbers include both irrational and rational numbers such as 3, 22/7, and integers such as (-2, 0, 1), fractions such as (1/2), and decimal numbers such as (1/2).

whole = 0,1,2,3,4,5,6,7,8,9...….

rational = 1,2,3,3/4,5/6,...…

irrational =  [tex]\sqrt{8}[/tex], etc

To know more about real number visit:
https://brainly.com/question/551408

#SPJ4

Which series of transformation would create a congruent shape?

Answers

A series of transformations that would create a congruent shape would include any combination of rotations, reflections, and translations that preserve the size and shape of the original figure.

For example, rotating a square by 90 degrees and then reflecting it across a line of symmetry would create a congruent square. Similarly, translating a triangle to a new location on the plane while preserving its orientation would also create a congruent triangle.

What is transformation, why is it important, etc.?

The structures, cultures, and business models of an institution must be realigned in order to create a learning environment that produces substantial and equitable increases in outcomes and educational value. Transformation describes this procedure.

What is the transformational process?

Any activity or collection of activities that takes one or more inputs, changes and adds value to them, and produces outputs for consumers or clients is referred to as a transformation process.

To know more about transformation visit:

https://brainly.com/question/11352944

#SPJ4

If a and b are real numbers then a+b is a real number.This law is called ?

Answers

Step-by-step explanation:

This law is called the closure property of real numbers. It states that if a and b are real numbers, then their sum, a + b, is also a real number. This is because the set of real numbers is closed under addition, which means that any operation performed on real numbers will result in another real number.

For example, if a = 3 and b = 4, then a + b = 7, which is a real number. Similarly, if a = -2 and b = 3, then a + b = 1, which is also a real number.

The closure property of real numbers holds for many other mathematical operations as well. For example, the product of two real numbers is also a real number, as is the quotient of two real numbers (assuming that the divisor is not zero). The set of real numbers is also closed under subtraction and negation.

A construction worker is pouring concrete stairs. The first step requires 1. 8 cubic feet of concrete, and the first 5 steps require a total of 27 cubic feet. If the steps follow an arithmetic series, how much concrete is required for the first 12 steps? 259. 2 cubic feet 43. 2 cubic feet 156 cubic feet 140. 4 cubic feet.

Answers

We can follow Arithmetic series, then the number of cubic feet concrete is required for the first 12 steps = 140.4 cubic feet.

Given that,

The first step requires 1. 8 cubic feet of concrete,

The first 5 steps require a total of 27 cubic feet.

An arithmetic series is the sum of the terms in an arithmetic sequence with a definite number of terms. Following is a simple formula for finding the sum: Formula 1: If [tex]S_{n}[/tex] represents the sum of an arithmetic sequence with terms , then. This formula requires the values of the first and last terms and the number of terms.

For an arithmetic series

[tex]a , a+d , a+2d , a+3d , .......[/tex]  

where a is the first term and d is the common difference, the sum of n terms equals,

[tex]S_{n}[/tex] = [tex]a_{n} +(\frac{n(n-1)}{2} ) d[/tex]         (Equation-1)

Since the first step requires 1.8 cubic feet of concrete, a = 1.8.

Now, the first 5 steps require 27 cubic feet of concrete, that is,

[tex]S_{5}[/tex] = 27

a = 1.8

n = 5

We can substitute values in equation-1,

[tex]S_{n}[/tex] = [tex]a_{n} +(\frac{n(n-1)}{2} ) d[/tex]  

[tex]S_{5}[/tex] = (5) (1.8) + [tex](\frac{5(5-1)}{2} )d[/tex]

[tex]S_{5}[/tex] = (5) (1.8) + [tex](\frac{5*4}{2} )d[/tex]

[tex]S_{5}[/tex] = (5) (1.8) + [tex]\frac{20}{2} d[/tex]

[tex]S_{5}[/tex] = (5) (1.8) + 10 d

[tex]S_{5}[/tex] = 9 + 10 d

Then, [tex]S_{5}[/tex] = 27

27 = 9 + 10d

27 - 9 = 10d

18 = 10d

d = [tex]\frac{18}{10}[/tex]

d = 1.8

Find the concrete required for 12 steps.

Then, we can substitute n = 12

So,

We can write,

[tex]S_{n}[/tex] = [tex]a_{n} +(\frac{n(n-1)}{2} ) d[/tex]  

[tex]S_{12}[/tex] = (12) (1.8) + [tex](\frac{12(12-1)}{2} )d[/tex]

[tex]S_{12}[/tex] = (12) (1.8) + [tex]\frac{12*11}{2} d[/tex]

[tex]S_{12}[/tex] = (12) (1.8) + [tex]\frac{132}{2} d[/tex]

[tex]S_{12}[/tex] = (12) (1.8) + 66 d

[tex]S_{12}[/tex] = 21.6 + 66 d

We can substitute d = 1.8

[tex]S_{12}[/tex] = 21.6 + 66 (1.8)

[tex]S_{12}[/tex] = 21.6 + 118.8

[tex]S_{12}[/tex] = 140.4

Therefore,

We can follow Arithmetic series, then the number of cubic feet concrete is required for the first 12 steps = 140.4 cubic feet.

To learn more about Arithmetic series visit :

brainly.com/question/16415816

#SPJ4

Solve this system of equations by graphing. First graph the equations, and then type the solution.

Answers

The graph of the equation given is mentioned below.

What is plot point in graph ?

Whenever we draw a point on our grid, we'll call it "plotting a point." The grid is really called a "graph" and the points we plot are called "coordinates." These are really locations on a plane -- we're just finding and labeling them.

Equation given,

y = 3/5x - 1    ----eq(i)

y = 2/5x        -----eq(ii)      

Now, for this two equation we infinite points for real numbers.

Now, take some points to plot the graph.

First for the eq(i)

Put x = 0, so y = -1

Put x = 5, so y = 2

Points for eq(i) is (0, -1) and (5, 2)

Now, for eq(ii)

Put x = 0, so y = 0

Put x = 5, so y = 2

Points for eq(ii) is (0, 0) and (5, 2)

Common point is (5, 2)

Now, plot this point on graph.

Hence, for more clarity graph of the equation given is mentioned below.

To read more about Graphing

https://brainly.com/question/6202026

#SPJ1

Is equidistant the same as parallel?

Answers

In Euclidean geometry, parallel lines (lines that never intersect) are equidistant in the sense that the distance of any point on one line from the nearest point on the other line is the same for all points.

A point is said to be equally far from a group of objects if there is an equal distance between it and each member of the group. 

The perpendicular bisector of two specified (different) points is their location in two-dimensional Euclidean geometry. The locus of points equidistant from two provided points in three dimensions is a plane, and generalizing further, the locus of points equidistant from two given locations in n-dimensional space is a (n1)-space.

The circumcenter of a triangle is a location that is equally spaced from each of the three vertices.

Learn more about equidistant to visit this link

https://brainly.com/question/29634493

#SPJ4

How do you know when a graph is inequality?

Answers

Observing the graph and the lines drawn, The graph is inequality is known if it is showing the region for which the inequality exists. Usually it is shown with arrows at the end of the line.

What do you mean by inequality?

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made. Less than, larger than, less than or equal to, and more than or equal to are the four fundamental inequalities.

What do you mean by graph?

The graph of a function f in mathematics is the collection of ordered pairs where f(x)=y. These pairs are Cartesian coordinates of points in two-dimensional space and so form a subset of this plane in the typical situation when x and f(x) are real integers.

Using a given graph,

We know that the graph is inequality if it is showing the region where the inequality exists,

It is usually shown using arrows at the end of the line towards the direction where the inequality is satisfied.

To learn more about graphs visit:

https://brainly.com/question/10712002

#SPJ4

Other Questions
so um im taking a biology test rn, and i need help on it. i was wondering if someone could help me? You have been tasked with building a URL file validator for a web crawler. A web crawler is an application that fetches a web page, extracts the URLs present in that page, and then recursively fetches new pages using the extracted URLs. The end goal of a web crawler is to collect text data, images, or other resources present in order to validate resource URLs or hyperlinks on a page. URL validators can be useful to validate if the extracted URL is a valid resource to fetch. In this scenario, you will build a URL validator that checks for supported protocols and file types.What you need to do?1. Writing detailed comments and docstrings 2. Organizing and structuring code for readability 3. URL = :///Steps for Completion Task Create two lists of strings - one list for Protocol called valid_protocols, and one list for storing File extension called valid_ftleinfo . For this take the protocol list should be restricted to http , https and ftp. The file extension list should be hrl. and docx CSV. Split an input named url, and then use the first element to see whether the protocol of the URL is in valid_protocols. Similarly, check whether the URL contains a valid file_info. Task Write the conditions to return a Boolean value of True if the URL is valid, and False if either the Protocol or the File extension is not valid. main.py + 1 def validate_url(url): 2 *****Validates the given url passed as string. 3 4 Arguments: 5 url --- String, A valid url should be of form :///6 7 Protocol = [http, https, ftp]8 Hostname = string9 Fileinfo = [.html, .csv, .docx] 10 ***11 # your code starts here. 12 13 14 15 return # return True if url is valid else False 16 17 18 if 19 name _main__': url input("Enter an Url: ") 20 print(validate_url(url)) 21 22 23 24 25 Please help me Explain your steps please.Will give brainliest. PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS what is 4i have to right more i have to right more A rod that is 96.0 cm long is made of glass that has an index of refraction equal to 1.60. The rod has its ends ground to convex spherical surfaces that have radii equal to 8.00 cm and 19.1 cm. An object is in air on the long axis of the rod 19.9 cm from the end that has the 19.1-cm radius.(a) Find the image distance due to refraction at the 19.1-cm radius surface.(b) Find the position of the final image due to refraction at both surfaces.(c) Is the final image real or virtual? How did the Chinese civil war end? (please answer if you know) On a map, 1 inch equals 5.2 miles. Two houses are 3.5 inches apart on the map. What is the actual distance between the houses? Use pencil and paper. Show how you can represent the scale with two different ratios. What ratio is more helpful for solving the problem? Explain. How did Andrew Jackson differ from John Quincy Adams?Adams was a war hero and Jackson was not.bAdams supported states' rights and Jackson supported a strong central government.CAdams's political party was Democratic and Jackson's was National Republican.DAdams was a symbol of businessmen and Jackson represented farmer What was the planned route of the Freedom Rides?How far did the riders make it? Think about the text The Tragedy of Romeo and Juliet by William Shakespeare to answer question 7, Drag to arrange each incident from the story in the correct chronological order. = Juliet determines to marry Romeo despite any obstacles. = Romeo kills Tybalt. = Lord Montague asks Benvolio to advise his conflicted son. = The Nurse arranges to keep secret Romeo and Juliet's affair. = At the Capulet ball, Romeo meets the new love of his life. = The Friar decides to help the teens marry to resolve the feud between families. what is the order of the texts 1/2 4 - 6find the value At a school carnival, 51 out of 68 tickets sold were early-admission tickets. What percentage of the tickets were early-admission tickets? Select the elements that have 4 valence electrons.hydrogen (H)krypton (Kr)strontium (Sr)carbon (C)oxygen (O)tin (Sn) What are some things you need to be careful not to change while editing a macro? Check all that apply. commas names spaces brackets rows columns please helpp!!!You are stuck in a big traffic jam on the freeway and you are wondering how long it will take to get to the next exit, which is miles away. You are timing your progress and find that you can travel of a mile in one hour. If you continue to make progress at this rate, how long will it be until you reach the exit? Solve the problem with a diagram and explain your answer. I will mark you brainlist!List three things you know about social competencies. A 1.2 M solution of a weak base B is prepared. Using a pH meter, the pH is measured to be 11.82. Calculate the base ionization constant Help me with french work! Analyse the impact that the increasing number of social grants may have on the: Unemployment rate