Identify the rule in each sequence (1 & 2 in sentence form only) and extend the sequence with three more terms

1. 1, 3/2, 2, 5/2, 3... __, __, __
2. 1, 4/3, 5/3, 2, 7/3... __, __, __
3. 3/2, 2, 5/2, 3, 7/2... __, __, __
4. 1, 4, 16, 19, 76... __, __, __


Note: In number 3 and 4, the rule may be written in sentence form or in terms of n, wherein n = 1, 2, 3, 4, 5...

Answer:

1/5 decimal: 0.2

3/20 decimal: 0.15

8/25 decimal:0.32

3/50 decimal:0.06

9/20 decimal: 0.45

Answer:

0.2

0.15

0.32

0.06

0.45

Step-by-step explanation:

Turn the fractions into decimals by changing the place value

Answer:

4(9a - 4)

Step-by-step explanation:

Answer:

4(9a - 4)

Step-by-step explanation:

Given

36a - 16 ← factor out 4 from each term

= 4(9a - 4)

Answer:

Step-by-step explanation:

Given quadratic equation is,

y = -2x² + 4x + 5

y = -2(x² - 2x) + 5

y = -2(x² - 2x + 1 - 1) + 5

y = -2(x² - 2x + 1) + 2 + 5

y = -2(x - 1)² + 7

This equation is in the vertex form of the quadratic equation,

y = a(x - h)² + k

where, (h, k) is the vertex of the parabola.

Therefore, vertex of the given quadratic equation is (1, 7)

The equation can be rewritten as y = -2(x - 1)² + 7.

Therefore, the vertex of the graph of the function y = -2x² + 4x + 5 in the xy-coordinate plane is located at the point (1, 7).

Answer:

165 is greater than or equal to 17.75x+5.25; 9 is greater than or equal to x

Step-by-step explanation:

The problem states that they have no more than $165. This means that they either use all the money, or they have leftover money, which means you need to use the 'greater than or equal to' sign. It says that tickets are $17.75 a person, and we're trying to find the number of people (x). You can write this as 17.75x. There is also a parking fee to add on to the equation, which is represented as +5.25. Now, we can solve!

I'm going to use an equal sign to replace the inequality symbol, but make sure to add the symbol at the end of the problem.

165=17.75x+5.25

159.75=17.75x

9=x

Our final answer is 9 is greater than or equal to x. Hope this helps!

Answer:

The inequality is $17.75x + $5.25 ≤ $165

and the amount of people who can go is 9

Step-by-step explanation:

if you subtract 5.25 from both sides, you'll get

17.75x ≤ 159.75

and when you divide both by 17.75, you'll get 9

The number of people that bought T-shirt is 2070 people

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%"

To find the percentage of those that bought the T-shirt

We find 45% of 4,500

45/100 * 4500

2070

Hence, 2070 people out of the 4,500 people who attend the rock concert bought the T-shirt

Learn more about percentage at:https://brainly.com/question/24304697

#SPJ1

Answer:

y= \frac{15}{7}x + 7

not sure if that will work so

y = 15x/7x + 7

Step-by-step explanation:

Answer:

t = 3s

Step-by-step explanation:

The equation t = 3s can be used to calculate the total cost.

Answer:

it is Isoscales triangle

Step-by-step explanation:

it is Isoscales triangle because Isoscales triangle is the triangle having atheist two sides or angle equal and in that question there is two 75

[tex] \huge\sf \pink{A} \sf \red{n} \sf \orange{s} \sf \blue{w} \sf \green{e} \sf \purple{r}[/tex]

It is an isosceles triangle.

[tex] \huge\sf \pink{R} \sf \red{e} \sf \orange{a} \sf \blue{s} \sf \green{o} \sf \purple{n}[/tex]

Because it's 2 of sides are equal and one is different.

[tex] \huge\sf \pink{V} \sf \red{e} \sf \orange{r} \sf \blue{i} \sf \green{f} \sf \purple{i} \sf \red{c} \sf \pink{a} \sf \blue{t} \sf \green{i} \sf \purple{o} \sf \orange{n}[/tex]

A triangle with two sides equal is known as isosceles triangle.

This triangle have two sides with equal length.

Answer:

Step-by-step explanation:

Let the 2 consecutive integers be x and x+1.

x²+(x+1)²=1684

x²+(x+1)(x+1)=1684

x²+x²+x+x+1=1684

2x²+2x-1683=0

Using quadratic formular

Answer:

Dont say your doing a test, brainly is strict and will delete your question because its timed

Step-by-step explanation:

Answer:

4,0

Step-by-step explanation:

Find where the two lines intercept at.

They both intercept at 4,0

Answer and Step-by-step explanation:

The solution is (4, 0)

This is because the graphs intersect at this point, which would be their solution.

#teamtrees #WAP (Water And Plant)

Answer:

11

Step-by-step explanation:

9+2 = 11

Exact Form:

−10/3

Decimal Form:

−3.3...

Mixed Number Form:

−3 1/3

Answer:

-10/3

Step-by-step explanation:

Answer:

42.1

Step-by-step explanation:

tan 39 = 52 / x

x = 52 tan39

x = 42.1

Answer:

19 h

Step-by-step explanation:

The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.

The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115

Step-by-step explanation:

I think it's B, if you are missing a decimal point and the second term is 17.2 and not 172. otherwise none are equivalent

Answer:

D. 45/2 and (1)

A. 89/2 and ( 18 )

Step-by-step explanation:

ap3x

Answer:

It just simplifies to x

Step-by-step explanation:

Answer:

multiply both sides of the equation by 3

Step-by-step explanation:

When your trying to solve for a variable, do steps where you are isolating that variable.

In the equation given, to isolate b, get rid of the division first and we can do that through multiplication.

Answer:

I'm pretty sure it's 10.905

Answer:

I think it is B I am sorry if wrong

9514 1404 393

Answer:

  1/(3x) =(x -2)/(4x^2 +9)

Step-by-step explanation:

The denominator cannot be factored further, so the final form will be ...

  A/(3x) + (Bx +C)/(4x^2 +9)

The value of this is ...

  (A(4x^2 +9) +(3x)(Bx +C))/(3x(4x^2 +9))

  = ((3B+4A)x^2 +3Cx +9A)/(3x(4x^2 +9))

Equating coefficients gives ...

  3B+4A = 7

  3C = -6   ⇒   C = -2

  9A = 9   ⇒   A = 1

Using the found value of A, we find ...

  3B +4 = 7   ⇒   B = 1

Then the decomposition is ...

  [tex]\dfrac{7x^2-6x+9}{3x(4x^2+9)}=\boxed{\dfrac{1}{3x}+\dfrac{x-2}{4x^2+9}}[/tex]

Answer:

a

Step-by-step explanation:

took test

Answer:

2x - 1

Step-by-step explanation:

Simplify. Note that you cannot combine a term with a variable with a constant term. Divide 5 from both terms in the parenthesis:

1/5(10x - 5) = (10x - 5)/5

Divide 5 from both terms in the parenthesis:

10x/5 = 2x

-5/5 = -1

2x - 1 is your answer.

~

Answer:

1/5 (10x - 5)

[tex]taking common \: 5 \: from (10x - 5) \\ 1 \div 5 \times 5(2x - 1)[/tex]

2x-1 is your answer

Answer:

The answer is 16+18d

Answer:Prove that for any nonzero natural

n

it is true that

Sn=1+1/4+1/9+1/16+1/25+1/2<2

I'm sort of at a loss here. I'm not sure if there exists some formula or method to sum this kind of series, since there is a variable ratio…

Answer:

-6;14

Step-by-step explanation:

x+6=0

x-14=0

Answer:

180°

Step-by-step explanation:

ABCD is a parallelogram.

Measures of the opposite angles of a parallelogram are equal. Here [tex] \angle A, \:\: \angle C \: \: and\:\: \angle B, \:\: \angle D[/tex] are opposite angles.

[tex] \therefore m\angle A = m\angle C = 110\degree [/tex]

[tex] \& \:m\angle B = m\angle D = 70\degree [/tex]

[tex] m\angle A + m\angle B =110\degree + 70\degree [/tex]

[tex] m\angle A + m\angle B =180\degree [/tex]

Answer:

106,496 kg

Step-by-step explanation: