Unit 2: Sequences
Create a recursive rule and an explicit rule for
the sequence below. Then find the 15th term.
7, 11, 15, 19, ...
Create a recursive rule and an explicit rule for
the sequence below. Then find the 15th term.
3, 12, 48, 192, ...
Recursive Rule:
Recursive Rule:
Explicit Rule:
Explicit Rule:
15th term
15th term:

Answer:

V≈2.14×106

Step-by-step explanation:

i looked up volume of a cylinder, do the same.

Answer:

Independent events - Random selection of  one

student - Selection of one boy to answer first question

Dependent Event - Selection of a girl student

Probability = 13.33 %

Step-by-step explanation:

The complete question is

Determine whether the scenario involves independent or dependent events. Then find the  probability

There are eight boys and eight girls in a

class. The teacher randomly selects one

student to answer a question. Later, the

teacher randomly selects a different student

to answer another question. The first

student is a boy and the second student is a

girl.

Solution

Independent events - Random selection of  one

student - Selection of one boy to answer first question

Dependent Event - Selection of a girl student

Probability

8C1 + 8C1/16C2

(8+8) /(8*15)

13.33 %

Answer:

b. 600

Step-by-step explanation:

subtract money from parents from tuition

divide by months

Answer:

5x - 3

Step-by-step explanation:

Add like terms: (4x + x) + (-6 + 3) = 5x - 3

Answer:

3x-3

Step-by-step explanation:

combine like terms, 4x-x=3x and -6+3=-3

Answer:

√29

Step-by-step explanation:

You would use the distance formula in this case to solve the problem:

(8-3)^2+(1-3)^2=29

Now square root 29, leaving you with √29.

Answer:

5.39

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(3 - 8)² + (1 - 3)²

√(-5)² + (-2)²

√25 + 4

√29

= 5.39

Answer:

speed = distance ÷ time

58 ÷ 14

speed = 4.142

Answer:

y < 3

Step-by-step explanation:

If you put the equation on a graphing calculator it shows that.

    Please give me BRAINLIEST and THANKS <(￣︶￣)>

Answer:

The center of this circle is (5, -4) and the radius is 1.

Step-by-step explanation:

First regroup these terms according to x and y :

x^2 - 10x + y^2 + 8y = -40

Next, complete the square for x^2 - 10x:  x^2 - 10x + 5^2 - 5^2.

and the same for y^2 + 8y:  y^2 + 8y + 16 - 16

Substituting these results into x^2 - 10x + y^2 + 8y = -40, we get:

x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40.

Next, rewrite x^2 - 10x + 25 and y^2 + 8y + 16 as squares of binomials:

Then x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40 becomes:

(x - 5)^2 + (y + 4)^2 - 25 - 16 = -40, or:

(x - 5)^2 + (y + 4)^2 = 1

This equation has the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.  Matching like terms, we get h = 5, k = -4 and r = 1.

The center of this circle is (5, -4) and the radius is 1.

Answer:

Center (5,-4) Radius = 1

Step-by-step explanation:

Put it in the form of the standard circle equation after dividing everything by 2. (-10x/2=-5x) (8y/2=4y) Since the radius wasn't given, it's just going to be a 1.

(x-5)^2+y(-(-4))^2 = 1^2

Hence, center (5, -4) and radius 1.

Answer:

Answer:

1041$/1W(M-Sun)

892$/1W(M-SAT)

744$/1W(M-Fri)

Step-by-step explanation:

Go to sleep stoo naughty

Answer:

4 hours

Step-by-step explanation:

240 divided by 40

Answer:

4 hours

240 divided by 60

Step-by-step explanation:

Hope it helps

Answer:

the answer is 2

-3x+7=1 x=2

Answer:

The surface area of the green prism is 2.5 times greater than the surface area of the blue prism

Answer:

All of them should be marked sicne they are all less than 12.

Step-by-step explanation:

Answer:

m = 6, m = 1, m = 5, m = 7

Step-by-step explanation:

All the options are solutions of m < 12.

Answer:

I would go with letter B. -7

Step-by-step explanation:

The two factors of a quadratic equation can be multiplied to form the original equation. Let the missing term be a:

y² + 15y + 56 = (y + 7)(y + a)

y² + 15y + 56 = y² + (7 + a)y + 7a

...............................................................................................................................................

Step by Step Solution

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Reformatting the input :

Changes made to your input should not affect the solution:

Step by step solution :

STEP  1 :

Trying to factor by splitting the middle term

1.1     Factoring  y2+14y+49  

The first term is,  y2  its coefficient is  1 .

The middle term is,  +14y  its coefficient is  14 .

The last term, "the constant", is  +49  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 49 = 49  

Step-2 : Find two factors of  49  whose sum equals the coefficient of the middle term, which is   14 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  7  and  7  

                    y2 + 7y + 7y + 49

Step-4 : Add up the first 2 terms, pulling out like factors :

                   y • (y+7)

             Add up the last 2 terms, pulling out common factors :

                   7 • (y+7)

Step-5 : Add up the four terms of step 4 :

                   (y+7)  •  (y+7)

The solution is:

  y  =  -7  

 The solution is:

 y = -14 / 2 = -7

Answer:

Step-by-step explanation:

Answer:

B i took the quiz

Step-by-step explanation:

Just trust me bro

Answer:

Use a calculator and use the formula 1/2 × pi × (radius squared)

The system of equations has infinite solutions.

Option D is correct.

Matrix multiplication is a binary operation whose output is also a matrix when two matrices are multiplied.

To multiply one matrix with another, we need to check first, if the number of columns of the first matrix is equal to the number of rows of the second matrix. Now multiply each element of the column of the first matrix with each element of rows of the second matrix and add them all.

Given

Matrix equations

[tex]\left[\begin{array}{ccc}2&4\\1&2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}6\\3\end{array}\right][/tex]

L.H.S:

Using Matrix multiplication

[tex]\left[\begin{array}{ccc}2&4\\1&2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}2x+4y\\x+2y\end{array}\right][/tex]

R.H.S:

[tex]\left[\begin{array}{ccc}6\\3\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}2x+4y\\x+2y\end{array}\right]=\left[\begin{array}{ccc}6\\3\end{array}\right][/tex]

Writing equation from above matrix

2x + 4y = 6

x + 2y = 3

or

2x + 4y = 6

2x + 4y = 6

Because there are two unknown number, but the two equations are consistent.

So, the system of equations has infinite solutions.

Option D is correct.

Find out more information about matrix multiplication here

https://brainly.com/question/14490203

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Hi there!  

»»————-　★　————-««

I believe your answer is:  

Vertex: (0, 39)

Axis of Symmetry: x = 0  

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

⸻⸻⸻⸻

The 'x' value of the vertex is '0', so the axis of symmetry is [tex]x = 0[/tex].

⸻⸻⸻⸻

See the graph that I have attached.

⸻⸻⸻⸻  

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

For equation:

[tex]f(x)=x^2-16x+55[/tex]

Vertex: [tex](8,-9)[/tex]

Axis of symmetry, ([tex]x=8[/tex])

For equation,

[tex]f(x)=x^2-16+55[/tex]

Vertex:[tex](0,39)[/tex]

Axis of symmetry, ([tex]x=0[/tex])

Step-by-step explanation:

The x-coordinate of the vertex of a parabola indicates the line of symmetry of the parabola. Thus, to solve this problem, one must find the vertex of the parabola. This can be done through a process called completing the square.

Completing the square is a process that converts a quadratic equation in standard form into vertex form. The first step is to group the linear and quadratic terms. Then factor out the coefficient of the quadratic term. After doing so, add a term to make the group a perfect square trinomial, then balance the equation.

Possibility 1

If the given equation is the following,

[tex]f(x)=x^2-16x+55[/tex]

Group,

[tex]=(x^2-16x)+55[/tex]

There is no quadratic term, thus, complete the square,

[tex]=(x^2-16x+64)+55-64[/tex]

Simplify,

[tex]=(x-8)^2-9[/tex]

Vertex: [tex](8,-9)[/tex]

Axis of symmetry, ([tex]x=8[/tex])

Possibility 2

If the given equation is the following,

[tex]f(x)=x^2-16+55[/tex]

Combine like terms,

[tex]=x^2+39[/tex]

Put in vertex form,

[tex]=(x)^2+39[/tex]

Vertex:[tex](0,39)[/tex]

Axis of symmetry, ([tex]x=0[/tex])

I think the answer is a = 4.5

81 ÷ 6 ÷ 3 = 4.5

I hope this helps, have a wonderful day!

i guess it might be right or wrong.the answer will be x value is 20.

Answer:b

Step-by-step explanation:

Answer:

Solution given:

The length of the garden[l] = 2434 feet.

breadth or width [b]=b

perimeter of his garden = 7012 feet.

2[l+b]=7012ft

2434+b=7012/2

b=3506-2434

b=1072

So the width of the garden is 1072ft.

Answer:

The mistakes were on points C and D

Step-by-step explanation:

Point C was graphed on (5,8) when it's supposed to be plotted on (5,7). Point D was on (-3,-4) but was supposed to be on (-4,-3?

Answer:

The mistakes are Point C and D

Answer:

A percentage or percent for short is a fraction; a fraction that always has the denominator as 100. Because the denominator of a percent is always a 100, no matter what the numerator is, we replace 100 with the percent symbol % after the number. By definition, for any number x, x% = x100.

Step-by-step explanation:

Answer:

A number multiplied by its self for ex 7 x 7 = 49 square root of 49 is 7

Answer:

A square root of a number is a value that, when multiplied by itself, gives the number. 6 · 6 = 36, so a square root of 36 is 6. You are probably curious why I said a square root and not the square root. - 6 · - 6 = 36. - 6 is a square root of 36. The symbol is √ which always means the positive square root.

√1 = 1

√4 = 2

√9 = 3

√16 = 4

√25 = 5

√36 = 6

√49 = 7

√64 = 8

√81 = 9

√100 = 10

Answer:

89°

Step-by-step explanation:

By inscribed angle theorem:

[tex]m\angle ZXY =\frac{1}{2} \times 178\degree \\ \\ m\angle ZXY =89\degree [/tex]