ratio of pi?

3. whats an estimation that's fraction form?

Answer: 2

Step-by-step explanation:

When x = 3, y = -2.

When x = 6, y = 4.

The average rate of change over the interval is:

[tex]\frac{-2-4}{3-6}=\frac{-6}{-3}=\boxed{2}[/tex]

[tex]y-2=4(x-3)\\\\y-2=4x-12\\\\y=4x-10\\\\\boxed{f(x)=4x-10}[/tex]

Parallel lines have equivalent slopes, so as the slope of the given line is 1, the slope of the line we want to find is also 1.

Substituting into point-slope form and rearranging into slope-intercept form,

[tex]y-2=1(x+6)\\\\y-2=x+6\\\\\boxed{y=x+8}[/tex]

Answer:

Non-Homogeneous Recurrence Relation and Particular Solutions

A recurrence relation is called non-homogeneous if it is in the form. Fn=AFn−1+BFn−2+f(n) where f(n)≠0.

Answer: Answer is C

Step-by-step explanation: It is C because its option C

Answer:Yes, the point lies on the line.

Step-by-step explanation:

Given coordinate of the locus = (1,2)

 Equation of the line  2x+4y = 10

Unknown:

Does the given coordinate lie on the line?

Solution:

The equation given is that of a straight line. To solve this problem, we simply plug the coordinates of the point back into the equation and check if solves it.

  x  = 1 and y = 2;

  2x+4y = 10

So;

   2(1) + 4(2) gives 2 + 8 = 10

Yes, the point lies on the line.

Answer:

73,358,400

Step-by-step explanation:

(2465)8 × (465)8

= 19,720 × 3,720

= 73,358,400

Answer: 14 - 5i

Step-by-step explanation:

Answer:

-10i+15 or 15-10i

Step-by-step explanation:

Use the cross multiply method

(4+1)(3-2i)

4x3=12

4x-2i=-8i

1x3=3

1x(-2i)=-2i

now we sum our similarities.

-10i+15

The domain is  {0, 1, 2, 3, 4, 5, 6} and range is {4, 4.5, 5, 5.5, 6, 6.5, 7}.

The domain of a function is the set of values that we are allowed to plug into our function.

The range of a function is the set of values that the function assumes.

The complete question is

Ryan also found that he could model the height of his plan with the equation H = 0.5D + 4 where D is the number of days and H is the height in centimeters. Determine the domain and the range for this relationship.

Given:

h = 0.5d + 4

The Domain of the function is: {0, 1, 2, 3, 4, 5, 6}

and the Range is: {4, 4.5, 5, 5.5, 6, 6.5, 7}

Learn more about this concept here:

https://brainly.com/question/17143164

#SPJ1

Answer:

It doesn't say anything about "Length" and "Width".

Step-by-step explanation:

Brainlest . Just press the .

Answer: We can take 2 common we could also write this as 2 times X plus y.

Step-by-step explanation:

Answer:

144, 196, 256

Mark me as brainlist, thanks me, and rate!!!

The solution of the given equation (x + 5) - ( 2x - 3) = 6 is 2.

A linear equation is an equation that has the variable of the highest power of 1.

The standard form of a linear equation is of the form Ax + B = 0.

The given equation is;

(x + 5) - ( 2x - 3) = 6

To solve;

(x + 5) - ( 2x - 3) = 6

Distribute the negative;

(x + 5) - 2x + 3 = 6

we need to get the like terms together;

x - 2x + 5+ 3 = 6

-x + 8 = 6

Subtract 8 from both sides, we get;

-x = -2

x = 2

Hence, the solution of the given equation is 2.

Learn more about linear equations;

https://brainly.com/question/10413253

#SPJ1

Answer:

1/4

Step-by-step explanation:

4/8 = 1/2

1/2 x 1/2 = 1/4

Answer:

The answer is 5/21 water left in the jug after 2 days.

Step-by-step explanation:

First convert 1 2/3 into a improper fraction. This will turn it into 5/3. After this, find a common denominator between 5/7 and 5/3. This common denominator is 21. Now, convert both fractions into a fraction with 21 as the denominator. This will transform 5/7 into 15/21, and 5/3 into 35/21. So we know from the equation that 15/21 is drank every day. So we multiply 15/21 by 2, which will make it 30/21. 35/21 will stay the same. Now we do 35/21 - 30/21, which gives you the final answer of 5/21 water left in the jug after 2 days.

Hope this helps!

The graph is shown in the attached image.

Since AC, MN and DB intersect at O, ∠AOM ≅ NOC and ∠MOD ≅ ∠BON by the vertical angles theorem. It is given that ∠BON ≅ ∠NOC, so by the transitive property of congruence, ∠AOM ≅ ∠MOD

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

An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse and right.

Since AC, MN and DB intersect at O, ∠AOM ≅ NOC and ∠MOD ≅ ∠BON by the vertical angles theorem. It is given that ∠BON ≅ ∠NOC, so by the transitive property of congruence, ∠AOM ≅ ∠MOD

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The system of inequalities of the graph is (a) y > x² + 2x - 3 and y > 2x + 3

The complete question requires that we determine the system of inequalities of the graph (the graph is attached)

Going by the list of options, the equation of the quadratic curve is:

y = x² + 2x - 3

From the graph, we can see that:

The above means that the inequality is greater than i.e. >

So, we have:

y > x² + 2x - 3

The above eliminates options (b) and (c)

From the graph, we can see that the straight line has a positive slope, a dotted line and the upper part is shaded.

The linear inequality in option (a) has the above characteristics.

So, the inequality is:

y > 2x + 3

Hence, the system of inequalities of the graph is (a) y > x² + 2x - 3 and y > 2x + 3

Read more about inequalities at:

https://brainly.com/question/25275758

#SPJ1

Answer:

f(3) = 68

Step-by-step explanation:

→ f(1) = 2 ⇒ f(2) = f²(2 − 1) + 4

                     = f²(1) + 4

                     = 2² + 4

                     = 8

………………………………………………

→ f(2) = 8 ⇒ f(3) = f²(3 − 1) + 4

                      = f²(2) + 4

                      = 8² + 4

                      = 64 + 4

                      = 68

Answer:

false fake false false false.............

Step-by-step explanation:

.....,........................

Answer:

0.2   [or 2/10    ;     or 1/5]

Step-by-step explanation:

100x = 1/10×200

100x = 20

÷100     ÷100

x = 0.2

check:

100 × 0.2 = 20

1/10 × 200 = 20

20 = 20

[true statement]

(Or, you know that 100 is half of 200, and to get from 100 to 200 we had to multiply by 2, and that 100 x 2/10 will be equal; this is harder to word though)

The equivalent equation to find the ordered pair will be y=0.3x where x represents the number of days the book is late and y represents the total fine fee.

A linear equation is an equation where the highest degree in the equation is 1.

for example, y=mx,

where y and x is the variable and m, is the constant.

Given, that the librarian charges $0.30 per each day that the book is late to submit

for estimating the relation between the number of days the book is late and the total fine fee

Let's assume the number of days the book is late is x,

and the total fine is y

the librarian charges $0.30 per one day

so for x days, the total charge will be =0.30x

so from above, it is clear that the linear equation will be

y=0.3x

applying all the order pairs in this equation we can decide.

The equivalent equation to find the ordered pair will be y=0.3x

Learn more about linear equation

here: https://brainly.com/question/1884491

#SPJ10

Answer: 14%

Step-by-step explanation:

Let's assume that there are 100 books in total.

So there are 60 fiction books and 40 nonfiction books.

10% of 60 is 6.

20% of 40 is 8.

So there are 14 books out of 100 that are worn.

This is 14%

Body design, muscular power and steadiness, flexibility and cardio-respiratory endurance are the components of fitness. Fitness is a major component of a healthy lifestyle.

While performing tasks during gymnastics she needs balance so that she can maintain and control a particular position.

Body design, muscular power and steadiness, flexibility and cardio-respiratory endurance are the components of fitness. Fitness is a major component of a healthy lifestyle.

Balances are of two types dynamic and static. Balance used while moving and performing the task is dynamic balance while performing in a standing position is static balance.

Gymnasts require balancing as the main component cause they use poles and beams to perform their tasks.

Therefore, balance is the skill mainly required in gymnastics.

To learn more about skill-related components of fitness follow the link:

brainly.com/question/750761

#SPJ1

The length of the diagonal of the square is 22.05 units

A square have all its sides equal to each other.

Therefore, using Pythagoras theorem,

c² = a² + b²

c² = (9√3)² + (9√3)²

c² = 81 × 3 + 81 × 3

c² = 243 + 243

c² = 486

square root both sides

c = √486

c = 22.045407685

c = 22.05 units

learn more on square here: https://brainly.com/question/2292568?referrer=searchResults

#SPJ1

Answer:

  -5

Step-by-step explanation:

Substituting x=4 into the equation gives a 2-step linear equation in y. It is solved by isolating the variable and making its coefficient be 1.

__

When x=4, the equation becomes ...

  -3x +9y = -57

  -3(4) +9y = -57

  -12 +9y = -57

The first step is to "isolate" the variable term (9y) by adding the opposite of the constant that is on the same side of the equation. The result is that the variable term is by itself on one side of the equal sign.

  -12 +12 +9y = -57 +12 . . . . . add the opposite of -12

  9y = -45 . . . . . . . . . . . . . . simplify

The second step is to make the coefficient of y be 1. We do that by multiplying by its inverse, 1/9. Equivalently, we divide by 9.

  (1/9)(9y) = (1/9)(-45) . . . . multiply by the inverse of 9

  y = -5 . . . . . . simplify

Answer:

[tex]\boxed{\bf x = 23.5}[/tex]

Step-by-step explanation:

Using the law of sines.

[tex] \bf \cfrac{ \sin(A) }{a} = \cfrac{ \sin(B) }{b} [/tex]

[tex]\bf \cfrac{ \sin(42) }{22} = \cfrac{ \sin(x) }{12} [/tex]

[tex]\bf \cfrac{12}{22} \sin(42) = \sin(x) [/tex]

[tex] \bf \sin(x) = 0.4[/tex]

[tex]\bf x = 23.5[/tex]

We have to use the formula  [tex]n = log_{r} (1+\frac{S_{n}(1-r) }{a})[/tex]  to find the number of terms of a finite geometric sequence.

If a be the first term of a finite sequence, r be the common ratio between consecutive terms and n be the number of terms.

So, we have to use the formula of sum of sequence and then calculate it to reduce the equation to find the value of number of terms, that is n.

Then, Sum of the sequence (Sn) = [tex]\frac{a(1-r^{n}) }{1-r}[/tex]

Here, in the given problem,

Sum(Sn) = 280, First term of the sequence(a) = 40, Common ratio(r) = 0.75

So, Sn = [tex]\frac{a(1-r^{n}) }{1-r}[/tex]

   ⇒ [tex]1-r^{n} =\frac{S_{n}(1-r) }{a}[/tex]

   ⇒ [tex]r^{n} =1+\frac{S_{n}(1-r) }{a}[/tex]

   ⇒ [tex]n = log_{r} (1+\frac{S_{n}(1-r) }{a})[/tex]          

Now you have to put the values and get the number of terms.

Learn more about finite geometric sequence here :

https://brainly.com/question/4407356

#SPJ10

The percent increase of women students is 21.13%.

Given that, an area vocational school had an enrollment of 325 men and 123 women.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

In 2006, there were 149 women.

Percentage increase = (New value - original value)/Original value × 100

= (149-123)/123 × 100

= 26/123 × 100

= 21.13%

Therefore, the percent increase of women students is 21.13%.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

The associative property of real numbers is shown in the number expression 3 + ((-5) + 6) = (3 + (-5)) + 6

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have a number expression:

= 3 + ((-5) + 6) = (3 + (-5)) + 6

As we know in the associative property:

a + (b + c) = (a + b) + c

= (3 + (-5)) + 6

Thus, the associative property of real numbers is shown in the number expression 3 + ((-5) + 6) = (3 + (-5)) + 6

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ1

Answer:

The numerical sum of the degree measures of ∠DEA and ∠AEB is

= 180°

Step-by-step explanation:

supplementary angles :

The meaning of supplementary is related to angles that make a straight angle together. It means, two angles are said to be supplementary angles when they add up to 180 degrees. Two angles that are supplementary to each other, do not have to be next to each other. Two angles are supplementary, if

This means that ∠p + ∠q = 180°.

From the given figure, we can see that:

∠DEA + ∠AEB = 180°

x+25+9x+10 = 180°

10x + 35 = 180°

10x = 180° - 35°

10x = 145°

x = 145/10

x = 14.5°

Get  ∠DEA

∠DEA = x + 25

∠DEA = 14.5 +25

∠DEA = 39.5°

Get ∠AEB:

∠AEB = 9x+10

∠AEB = 9(14.5) + 10

∠AEB = 130.5 + 10

∠AEB = 140.5 °

Hence the value of x,  ∠DEA, and ∠AEB are 14.5°, 39.5°, and 140.5°

so, The numerical sum of the degree measures of ∠DEA and ∠AEB is

= 39.5 + 140.5

= 180° (answer)

learn more about supplementary angles at

https://brainly.com/question/19281924

#SPJ10