Write the recursive and explicit formulas for the given sequence 4, 7, 10, 13

recursive formula: explicit formula:

a,1 = a,n =

a,n =

Answer:

Reminder: [tex]log _a x[/tex] answers the question: "what power do I have to raise a to in order to get x?"

Thus said.

[tex]1. \ 64= 2^6 = 4^3 \implies log_464=3\\2. \ 5^1 = 5 \implies log_55 = 1\\3.\ 3^1=3; \ 2^1=2 \implies Log_33 + log_22 = 1+1=2\\4.\ 5^1=5; \ 8^1=8 \implies log_55 - log_88=1-1=0\\5. \ 8=2^3; 32=2^5 \implies log_28+log_232 = 3+5=8[/tex]

Last one, if you already talked about log properties, can be handled as:

[tex]log_28+log_232= log_2(8\times32) = log_2256 =8\ (256=2^8)[/tex]

Answer:

5.8 + 1 = z

6.8

Step-by-step explanation:

There are no variables in this equation. So you just add 5.8 + 1

Answer:

5.8+1=6.8

Step-by-step explanation:

'z' is a variable representing an unknown number. In this case, z is the answer, since the equation is 5.8+1=z. All you do is add 5.8 and 1 like this:

5.80

+1.00

_____

6.80

or 6.8

6.8=z

Note: The zero after the numbers does not change the answer.

Hope this helped! :)

Answer:

12 12 18 1816 2888

Step-by-step explanation:

Just add on top and subtract on bottom

[tex]\frac { 2 + 3 i } { 3 + 4 i }[/tex]

[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{\left(3+4i\right)\left(3-4i\right)} [/tex]

[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{3^{2}-4^{2}i^{2}} [/tex]

[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{25} [/tex]

[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)i^{2}}{25}[/tex]

[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)\left(-1\right)}{25} [/tex]

[tex]=\frac{6-8i+9i+12}{25} [/tex]

[tex]=\frac{6+12+\left(-8+9\right)i}{25} [/tex]

[tex]=\frac{18+i}{25} [/tex]

[tex]=\boxed{\frac{18}{25}+\frac{1}{25}i=0.72+0.04i}[/tex]

_______

Hope it helps :) ⚜

Answer:

0.15

Step-by-step explanation:

Answer:

1 1/24

Step-by-step explanation:

Pls give brainly if right :) also not 11 its 1u 1/24

Answer:

Step-by-step explanation:

Look at the first elements of the four points:  {0, 3, 6, 6}.  The element 6 appears twice and is associated with two different second elements:  {8, 12}.  That tells us immediately that this is not a function.

Step-by-step explanation:

x/6=w+5

x=6(w+5)

x=6w+30.

hope this helps you.

The value of x is x = 6w + 30

Data;

This is a mathematical terms used to represent a value from an entire equation.

In the given equation, we are given a value required to make x the subject of formula

Step 1

Add 5 to both sides of the equation

[tex]\frac{x}{6}-5 + 5 = w + 5\\\\\frac{x}{6} = w + 5[/tex]

Step 2

Cross multiply both sides

[tex]\frac{x}{6} = w + 5\\\frac{x}{6} = \frac{w+5}{1} \\x(1) = 6(w+5)\\x = 6(w+5)\\x = 6w + 30[/tex]

From the calculations above, the value of x is x = 6w + 30

Learn more on subject of formula here;

https://brainly.com/question/790938

Answer:  (12xy^2)

Step-by-step explanation:

12x^2y^3

(12xy^2)*(xy)

24xy^2

(12xy^2)*(2)

The greatest common factor of the expressions 12x²y³ and 24xy² will be 12xy².

Simply said, it is the biggest common element. The highest consistent element in the above example is 15, making 15 the greatest common factor amongst 15, 30, and 105. The biggest chunk of the common factors is called the "Greatest Common Factor" (of two or more numbers).

The expressions are given below.

12x²y³ and 24xy²

The factor of the expression 12x²y³ is given as,

12x²y³ = 12 × x × x × y² × y

The factor of the expression 24xy² is given as,

24xy² = 2 × 12 × x × y²

The common factors in both expressions are 12, x, and y². Then the greatest common factor will be given as,

⇒ 12 × x × y²

⇒ 12xy²

The best normal component of the articulations 12x²y³ and 24xy² will be 12xy².

More about the greatest common factor link is given below.

https://brainly.com/question/11221202

#SPJ2

8√21 cm² is the area

hope it helps you

please mark as brainlliest!!

Answer:

m∠2 = 17°

Step-by-step explanation:

y + 10 = 3y - 24

34 = 2y

17 = y

Answer:

You need to find the difference to show how much profit she makes. Subtract her cost of $413.00 from her selling price of $600.00 it will give you the difference, which is her profit.

Step-by-step explanation:

Answer:

she got 5049$ back in profit

Step-by-step explanation:

First count how much numbers are away from 413 to 600 you get 187

Next you Multiply 187 x 27 = 5049$

Step-by-step explanation:

using Pythagoras theorem,

(hypotenuse)² = (perpendicular)² + (base)²

given that, hypotenuse =x, perpendicular =7, base =4

(x)² = 7² + 4²

(x)² = 49 + 16

x = √65

[tex]9^x = \dfrac 1{27}\\\\\implies (3^2)^x = \dfrac{1}{3^3}\\\\\implies 3^{2x} = 3^{-3}\\\\\implies 2x = -3 \\\\ \implies x = -\dfrac 32[/tex]

Answer:

Option B: (x= -8, y=10, z=-6)

Step-by-step explanation:

2x + 4y + 3z = 6 ... eq.(1)

5x + 8y + 6z = 4 ... eq.(2)

4x + 5y + 2z = 6 ... eq.(3)

From eq.(1),

2x= 6 - 4y - 3z

x= (6-4y-3z)/2 ... eq.(4)

Putting x as (6-4y-3z)/2 in both eq.(2) and eq.(3)

In eq.(2),

5[(6-4y-3z)/2] +8y +6z =4

Multiplying through by 2

5(6-4y-3z) + 16y + 12z = 8

30-20y-15z+16y+12z = 8

22= 4y + 3z ... eq(5)

In eq.(3),

4[(6-4y-3z)/2] +5y +2z = 6

2(6-4y-3z) +5y + 2z =6

12-8y-6z + 5y +2z = 6

6= 3y + 4z ... eq.(6)

Multiplying eq.(5) and eq.(6) by 3 & 4 respectively

66=12y + 9z ... eq(8)

24=12y + 16z ... eq(9)

Subtracting eq(8) from eq(9)

42= -7z

z= -42/7

z = -6

Putting z as -6 in eq.(5)

22= 4y + 3(-6)

22= 4y -18

4y = 40

y = 40/4

y = 10

Putting y as 10 and z as -6 in eq(4)

x = [6 - 4(10) - 3(-6)]/2

x = (6 - 40 - 18)/2

x = -16/2

x = -8

x= -8, y= 10 , z= -6

Answer:

B) 7 - 5x

Step-by-step explanation:

7 - 5x is the difference between the number 7 and the product of 5 and 'x'

Based on the information given, the length will be 68 yards while the value of the width will be 52 yards.

The calculation will go thus:

Perimeter = 2l + 2w

240 = 2(w + 16) + 2w

240 = 2w + 32 + 2w

240 = 4w + 32

4w = 240 - 32

4w = 208

w = 208/4 = 52

Therefore, the length will be:

= w + 16 = 52 + 16 = 68

Read related link on:

https://brainly.com/question/25748983

Step-by-step explanation:

48 ÷ 2 = ...

= (12 ÷ 2) + (12 ÷ 2) + (12 ÷ 2) + (12 ÷ 2)

= 6 + 6 + 6 + 6

= 12 + 12

= 24

Answer:

2

Step-by-step explanation:

2 x 2 - 6 + 4

4 - 6 +4

4 - 2

2

Answer:

A. 1/5

Step-by-step explanation:

1. The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

2. (Solving)

Therefore, the answer is A. 1/5.

[tex]\huge \bf༆ Answer ༄[/tex]

Consider two points (-1 , 2) and (4 , 3)

Slope (m) of the graph is : -

[tex]꧁  \:  \large \frak{Eternal \:  Being } \: ꧂[/tex]

Answer:

Its not always the same, 45 dollars

Step-by-step explanation:

Here is why its not always the same:

12/2 = 6 dollars/pound

30/6 = 5 dollars/pound

35/7 = 5 dollars/pound

we can see that they are not the same price as they vary.

For 9 pounds we can assume that the price would continue to be 5 dollars/pound:

x/5 = 9

x=5*9

x= 45

Answer:

3.  SA =  876 [tex]in^{2}[/tex]

4.  SA =  161 [tex]ft^{2}[/tex]

Step-by-step explanation:

       Number 3.

To find the total Surface Area, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.

       To find side lengths:

Assuming the back triangle (24, 10 in) is congruent to the front triangle (26in.): First, Knowing the Pythagorean triples or the Pythagorean theorem, we can conclude that the short bottom leg in the triangle on the right (6, 10, x in) is     8 in.                                                                                                               Secondly, to find the leg of the triangle with a hypotenuse of 24 inches, we subtract: 26 - 8 = 18 in.

Now we know all the (needed) side lengths.

       To find the Surface Area:

Total SA  =  (12 x 26) + (12 x 24) + (12 x 10) + 2 x ((6 x 18 x 0.5) + (6 x 8 x 0.5))

               =  312 + 288 + 120 + 2 x (54 + 24)  =  720 + (2 x 78)

               =  876 [tex]in^{2}[/tex]

       Number 4.

Same Idea: To find the Total SA, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.

Assuming the back triangle (7ft) is congruent to the front triangle (5x5 ft), then in this case, we already know all the needed side lengths.

       To find the Surface Area:

Total SA  =  2 x (8 x 5) + 2 x (5 x 5 x 0.5) + (7 x 8)

               =  80 + 25 + 56

               =  161 [tex]ft^{2}[/tex]

Answer:

His average monthly payment is $730.83

Step-by-step explanation:

700+650+750+760+785+880+700+725+700+750+720+650=8,770

8,770/12 = 730.83

Answer:

use Pythagoras theorem a^2+b^2 = c^2 where c is the longest side of the triangle (hypotenuse)

3^2 + 4^2 = c^2 (c is the length of the ladder)

9 + 16 = c^2

25 = c^2

c = √25 (square root)

c = 5

Answer:

blahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

what goes around always come back around

Answer:

13. C

14. B

Step-by-step explanation:

yeah-ya........... right?

Answer:

the answer for (9squared divided by 3) - ( 3 x 5 ) = 12

Step-by-step explanation:

(9squared divided by 3) - ( 3 x 5 ) = 12

9x9 = 81

81 ÷ 3 = 27

27 - (3x5)

3 x 5 = 15

27 - 15 = 12

so it goes in the 12 box

4squared - ( 2 x 3 )

4squared = 4 x 4

4 x 4 = 16

16 - (2 x 3)

2 x 3 = 6

16 - 6 = 10

so it goes in the 10 box