Make sure to Show your math steps to arrive at your answers and Explain each step in complete sentence please

Answer:

B: Every input value corresponds to only one output value.

(i) 1.272727...

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{1.\overline{27}}}}[/tex] [tex]\bf{i.}[/tex]

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{Let\:x\:be\:1.\overline{27}}}}[/tex]

Multiplying both the sides by 100.

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{x\:*\:100=1.\overline{27}\:*\:100}}}[/tex]

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{100x=127.\overline{27}}}}[/tex] [tex]\bf{ii.}[/tex]

Subtracting [tex]\bf{i.}[/tex] from [tex]\bf{ii.}[/tex]

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{100x\:-\:x=127.\overline{27}\:-\:1.\overline{27}}}}[/tex]

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{99x=126}}}[/tex]

[tex]\rightarrowtail[/tex] [tex]\boxed{\green{\bf{x=\dfrac{126}{99}}}}[/tex]

Reducing it to lowest form

[tex]\rightarrowtail[/tex] [tex]\boxed{\green{\bf{x=\dfrac{14}{11}}}}[/tex]

[tex]\gray{\rule{300pt}{0.3em}}[/tex]

(ii) 0.1282828...

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{0.1\overline{28}}}}[/tex]

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{Let\:x\:be\:0.1\overline{28}}}}[/tex]

Multiplying both sides by 10

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{x\:*\:10=0.1\overline{28}\:*\:10}}}[/tex]

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{10x=1.\overline{28}}}}[/tex] [tex]\bf{i.}[/tex]

Multiplying both sides by 100

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{10x\:*\:100=1.\overline{28}\:*\:100}}}[/tex]

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{1000x=128.\overline{28}}}}[/tex] [tex]\bf{ii.}[/tex]

Subtracting [tex]\bf{i.}[/tex] from [tex]\bf{ii.}[/tex]

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{1000x\:-\:10x=128.\overline{28}\:-\:1.\overline{28}}}}[/tex]

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{990x=127}}}[/tex]

[tex]\rightarrowtail[/tex] [tex]\boxed{\green{\bf{x=\dfrac{127}{990}}}}[/tex]

[tex]\gray{\rule{300pt}{0.3em}}[/tex]

The length of line segment l n on which point m lines in between is 64 units. Option 4 is the correct option.

Length of a line segment is the distance of both the ends of it.

Point m lies between points l and n on line segment l n .

The value of line segment LN is,

[tex]LN = 12x +16[/tex]

The sum of LM and LN is equal to the line segment LN. Thus,

[tex]LM+MN=LN\\10x +8+(5x-4)=12x+ 16\\10x +8+5x-4=12x+ 16\\10x+5x-12x=16 -8+4\\3x=12\\x=\dfrac{12}{3}\\x=4[/tex]

Put this value of x in the equation of line segment LN,

[tex]LN = 12(4) +16\\LN=48+16\\LN=64\rm\; units[/tex]

Thus, the length of line segment l n on which point m lines in between is 64 units. Option 4 is the correct option.

Learn more about the line segment here;

https://brainly.com/question/2437195

When n columns of S (eigenvectors of A) are independent, then:

(a) A is invertible is a false statement.

(b) A is diagonalizable is a true statement

Others are:

(c) S is invertible true  statement.

(d) S is diagonalizable false statement.

Note that if n columns of S (eigen vectors of A) are said to be independent.

One can deduce or see that the eigen vector that is similar to the eigen value is said to be = 0 and one can say it is linearly independent when viewed with the other eigen vectors of A.

But because to the zero eigen value of A, we see that the determinant of A is the output of eigen values of A which is = 0 and as such, A is not invertible.

So, the linear independence of eigen vectors will not be able to find the invertibility of A and as such A is diagonalizable.

Learn more about independent variables  from

https://brainly.com/question/9515546

#SPJ1

Heating and Cooling Degree Days

Degree days are based on the assumption that when the outside temperature is 65°F, we don't need heating or cooling to be comfortable. Degree days are the difference between the daily temperature mean, (high temperature plus low temperature divided by two) and 65°F. If the temperature mean is above 65°F, we subtract 65 from the mean and the result is Cooling Degree Days. If the temperature mean is below 65°F, we subtract the mean from 65 and the result is Heating Degree Days.

Step-by-step explanation: Example 1: The high temperature for a particular day was 90°F and the low temperature was 66°F. The temperature mean for that day was:

( 90°F + 66°F ) / 2 = 78°F

Because the result is above 65°F:

78°F - 65°F = 13 Cooling Degree Days

Example 2: The high temperature for a particular day was 33°F and the low temperature was 25°F. The temperature mean for that day was:

( 33°F + 25°F ) / 2 = 29°F

Because the result is below 65°F:

65°F - 29°F = 36 Heating Degree Days.

The calculations shown in the two examples above are performed for each day of the year and the daily degree days are accumulated so that we can compare months and seasons.

Answer: 13 ounces

Step-by-step explanation:

      To answer this question, we will find 65% of 20. A percent divided by 100 becomes a decimal that can be used to solve.

65% / 100 = 0.65

0.65 * 20 = 13

   There are 13 ounces of tin in the metal bar.

Answer:

The metal bar contains 13 ounces of tin.

Step-by-step explanation:

Multiply '20 ounces' by 0.65, obtaining 13 ounces.

The metal bar contains 13 ounces of tin.

Answer:

haha hut dog hahah ayoko nga

15 people liked country, and 10 people liked opera, so 10+15 = 25.

25 people combined

Answer:

28

Step-by-step explanation:

4 x 77 / 11 x 1  =  308 / 11

308/11 = 28    11/11 = 1

the answer is 28 / 1

Hey there!

4/11 of 77

= 4/11 * 77/1

= 4(77) / 11(1)

= 77(4) / 1(11)

= 77 + 77 + 77 + 77 / 11

= 154 + 154 / 11

= 308 / 11

= 28

Therefore, your answer is: 28

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

At a local high school, enrollment in the drama club increases by 5%. the common ratio will be 1.05.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

At a local high school, enrollment in the drama club increases by 5%.

Let an initial number of students in high school be 'a'.

so next year increase in students will be = 5% of a

                                                                   = 5/100 × a

                                                                   = 0.05a

and total number of the students will be  = ( a + 0.05a )

                                                                   = ( 1.05a )

So common ratio of the geometric square formed

( 1.05a )/ a =  1.05

Therefore, the common ratio will be 1.05.

Learn more about percentages;

https://brainly.com/question/14816043

Answer:

x = log 17frac 23 (3)

(50)

Step-by-step explanation:

500 x 0.85 x at the top =30x1.15 x at the top again.

To make sure the flip is in unison, after 4  seconds should the flip occur, as given by the option C: 4 seconds.

Synchronized motion is a motion of two or more system which goes in syncronization with each other.

For this case, the flip will occur such that both gymnasts are synchronized and flip is unison (simultaneous).

For that, we need the time(x) and the height (y) same.

Since the motion paths are:

[tex]y= -(x-5)^2 + 3\\\\y = -3(x-3)^2 + x + 1[/tex]

Therefore, we need to find the values of x for which same y comes as output.

Let  x =  t be the time for which the height y is same, then:

[tex]-(t-5)^2 + 3 = -3(t-3)^2 + t + 1[/tex] = height achieved by both gymnasts.

Solving it further:

[tex]-(t-5)^2 + 3 = -3(t-3)^2 + t + 1\\3(t^2 + 9 -6t) -(t^2 + 25 -10t) -t + 2 = 0\\\\2t^2 -9t + 4 = 0\\2t^2 -8t - t + 4 = 0\\2t(t-4) -1(t-4) = 0\\(2t -1)(t-4) = 0\\\\t = 4, t = 1/2[/tex]

Assuming they planned to do flip after integral number of time in seconds, the correct option is t = 4 seconds.

Thus, to make sure the flip is in unison, after 4  seconds should the flip occur, as given by the option C: 4 seconds.

Learn more about solving system of equations here:

https://brainly.com/question/2825832

Answer:

5 seconds

Step-by-step explanation:

Put the equations in desmos and you will see they intersect at 5 seconds.

This is definitely correct.  Here is proof:

Answer: You can buy 11 DVD’s with $165

Step-by-step explanation:

165 divided by 15= 11

There are 264 male students in the high school containing 600 students.

An equation is an expression that shows the relationship between two or more numbers and variables.

There are 600 students altogether, hence:

Number of freshmen = (1/5) * 600 = 120

Number of other graders = 600 - 120 = 480

Number of male freshmen = 120 - (0.4 * 120) = 72

Number of male other graders = (1 - 3/5) * 480 = 192

Total number of male = 72 + 192 = 264

There are 264 male students in the high school containing 600 students.

Find out more on equation at: https://brainly.com/question/1214333

Answer:

y = - 2x + 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 2 , then

y = - 2x + c ← is the partial equation

to find c substitute (7, - 9 ) into the partial equation

- 9 = - 14 + c ⇒ c = - 9 + 14 = 5

y = - 2x + 5 ← equation of line

Answer:

Perpendicular cross section of a pyramid -------   triangle.

Perpendicular cross section of a cylinder -------  rectangle

parallel cross section of a sphere ------ circle

shape create....    -----    cylinder.  

Step-by-step explanation:

Imagine you cut pyramid like that. Height of pyramid would be height of your triangle. and sides of pyramid would be sides of triangle.

diameter of a base of cylinder would be one side of rectangle and height of cylinder would be other side of rectangle. (pair of sides)

when you cut sphere a side would apear with shape of circle.

one side of rectangle would be hight of cylinder and other would be radius of it.

last one is cone.  If you place right angle in coordinate beginning (0.0) and one of shorter sides to lie on y axis other would be on x axis. when rotated you get cone.

Answer:75% percent chance of picking a card greater than 1 and a 50% chance of picking a card greater than 2

Step-by-step explanation:

please pick me as brainliest

The quotient of the equation is x-2.

The quotient is the number that is generated when we perform division operations on two numbers. Basically, it is the result of the division method.

The given equation is;

[tex]\rm \dfrac {x^3 - 3x^2 + 3x -2}{ x^2 - x + 1}\\\\[/tex]

By fraction, a quotient is a number obtained by dividing the dividend by the divisor which is a simple division of numerator and denominator.

The solution of the equation is determined in the following steps given below.

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

Hence, the quotient of the equation is x-2 .

Learn more about quotient here;

brainly.com/question/17431959

Answer:

6/14 or simplify it to 3/7

Step-by-step explanation:

this is because you have a total of 14 marbles

Answer:

180 more students than parents at the game

Step-by-step explanation:

There are 5 students for every 2 parents equalling 7 people in one set of students to parents ratio.

There are 420 fans at the game. Divide the 420 by the 7 people per set.

420 / 7 = 60 (There are 60 sets of 5 students to 2 parents ratio)

Multiply the 60 sets by 5 students and 2 parents, respectively:

60 x 5 = 300 students

60 x 2 = 120 parents

Subtract the number of parents from number of students:

300 students - 120 parents = 180 more students

A Circle is a closed plane geometric shape figure. The diameter of a circle is the longest chord of a circle. The radius drawn perpendicular to the chord bisects the chord. A Circle is always lie at an equal distance from a center point. Circles having different radius are similar.

The circumference of a circle is the product of pi and length of the diameter of a circle. Mathematically;

[tex]\longrightarrow \tt{Circumference_{(circle)} = \pi{D}}[/tex]

Here, D is the diameter of the circle or distance between the circle.

We are asked to find the circumference of the circle if the diameter is 8 inches.

We know that, The circumference of a circle is the product of pi and length of the diameter of a circle. Therefore;

[tex]\implies \tt{Circumference_{(circle)} = \pi{D}}[/tex]

[tex]\implies \tt{Circumference_{(circle)} = 3.14 \times 8}[/tex]

[tex]\implies \boxed{\pmb{\tt{Circumference_{(circle)} = 25.12}}}[/tex]

Hence, the circumference of the circle is 25.12 inches. So option (B) is correct.

Answer:

Step-by-step explanation:

In the question we are given that diameter of circle is of 8 inches . And we have asked to find the circumference of the circle .

For finding circumference of circle we must have to know that what is the formula for finding circumference of circle. So :

[tex] \quad \quad \: \red{\underline{\pink{ \boxed{ \frak{Circumference \: of \: Circle =2 \pi r }}}}}[/tex]

Where ,

Solution : -

As in the question we are given length of diameter . So for finding circumference we need to find the radius of circle .

We know that diameter of circle is two times its radius ,

[tex] \qquad \: \rm {Diameter = 2 × Radius }[/tex]

So for radius we are dividing both side with 2 :

[tex]\qquad \: \rm { \dfrac{Diameter}{2} = \dfrac{ \cancel{2} × Radius}{ \cancel{2}} }[/tex]

We get that ,

[tex] \qquad \: \rm {Radius = \dfrac{Diameter}{2} }[/tex]

Therefore , we can say that radius of circle is half of its diameter .

Now using this , firstly we are finding radius of circle . So :

[tex] \longmapsto \quad \: \boxed{\rm{ Radius = \frac{8}{2} \: \: inches}}[/tex]

Now , we are moving towards our final solution .

So ,

[tex] \longmapsto \quad Circumference_ { (Circle)} =2 \times 3.14 \times 4 [/tex]

Multiplying 2 with 3.14 :

[tex]\longrightarrow \quad Circumference_ { (Circle)} = 6.28 \times 4 [/tex]

Multiplying 4 and 6.28 :

[tex]\longrightarrow \quad \purple{{\boxed{\frak{Circumference_ { (Circle)} = 25.12\: inches }}}}[/tex]

Answer:

✏If the rod is held straight then the angle alpha equals 90°,therefore the required solution is 45°

Step-by-step explanation:

Answer:

5 1/3 bags

Step-by-step explanation:

12/9 = 1 1/3 bags per pot

4 * 1 1/3 = 5 1/3 bags to fill the pots

Answer:

3 bags

Step-by-step explanation:

Given

Solving

Answer:

the nets are for 3Dshapes

Step-by-step explanation:

the drawing shown are nets

The answer is "no solution"

The line looks like it is around 6, the square root of 61 is 7.810249675906654, so that would be the closest to our estimate.

Answer:

I think the answer is 11

Step-by-step explanation:

because if u count under the lines from one point to another u get 6

then count up from where ur at and u get 5

and then ig just add it up

6+5

look

Answer:

47.6

Step-by-step explanation:

35% x 136

= (35/100)*136

_________________

Step 1: In the given case Output Value is 136

Step 2: Let us consider the unknown value as x

Step 3: Consider the output value of 136 = 100%

Step 4: In the same way, x = 35%

Step 5: On diving the pair of simple equations we got the equation as under

136 = 100% (1).

x = 35% (2).

(136%)/(x%) = 100/35

Step 6: Reciprocal of both the sides results in the following equation

x%/136 = 35/100

Step 7: Simplifying the above obtained equation further will tell what is 35% of 136

x = 47.6%

Therefore, 35% of 136 is 47.6

Answer:

Example 1.

A square with side lengths of 5.

5*5 = 25.

So the area would be 25 units ^2

Example 2.

A rectangle with a length of 9 and a width of 4

9*4 = 36

So the area is 36 units ^2