if f (1) =5 and f (n) = 5f (n-1) + 5 then find the value of f (3)

[tex]\cfrac{40.5}{8.1} ~~ \begin{cases} 40.5\implies \frac{405}{10}\\\\ 8.1\implies \frac{81}{10} \end{cases}\implies \cfrac{ ~~ \frac{405}{10} ~~ }{\frac{81}{10}}\implies \cfrac{405}{10}\cdot \cfrac{10}{81}\implies \cfrac{405}{81}\cdot \cfrac{10}{10} \\\\\\ \cfrac{5\cdot 81}{81}\cdot \cfrac{10}{10}\implies \cfrac{5}{1}\cdot \cfrac{81}{81}\cdot \cfrac{10}{10}\implies \cfrac{5}{1}\cdot 1\cdot 1\implies \cfrac{5}{1}[/tex]

The missing step is to subtract 12 from both sides of the equation.

The step would be:

3x = -9

[tex]\\ \rm\Rrightarrow {}^{35}C_{12}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{35!}{12!(35-12)!}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{35!}{12!23!}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1.0333148e+40}{12383157381152686026522624000000}[/tex]

[tex]\\ \rm\Rrightarrow 834451800[/tex]

Answer:

834,451,800

Step-by-step explanation:

Factorial is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example:  4! = 4 × 3 × 2 × 1

Binomial Coefficient

[tex]\large \text{$ \rm ^{n}C_r=\dfrac{n!}{(n-r)!r!} $}[/tex]

[tex]\large \text{$ \rm \implies ^{35}C_{12}=\dfrac{35!}{(35-12)!12!} $}[/tex]

[tex]\large \text{$ \rm \implies ^{35}C_{12}=\dfrac{35!}23!12!} $}[/tex][tex]\large \text{$ \rm \implies ^{35}C_{12}=\dfrac{35!}{23!12!} $}[/tex]

[tex]\large \text{$ \rm \implies ^{35}C_{12}=\dfrac{35 \times 34 \times 33 \times ... \times 25 \times 24}{12!} $}[/tex]

[tex]\large \text{$ \rm \implies ^{35}C_{12}=834451800 $}[/tex]

Answer:

xx=-0.8

Step-by-step explanation:

not sure if this is right because the 12xx is kind of strange

12xx+16-1=0
12xx+15=0
12xx=-15
12/12xx=12/-15
xx=-.8

Answer:

x=1

Step-by-step explanation:

f(x)=-4x^2+8x-28 (Identify the cofficients)

a=-4, b=8 (Substitute the coefficients into the expression)

x=-8/2(-4) (solve the equation)

x=1

please tell me if i am wrong :)

[tex] \underline{ \boxed {\sf \color{cyan}{x = \frac{129}{2}}}}[/tex]

[tex]\pink{━━━━━━━━━━━━━━━━━━━━━━━━━━━━━}[/tex]

[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\sf{2x- 17 =51 +61}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\sf{2x- 17= 112}[/tex]

[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\sf{2x- 17 + 17 = 112 + 17}[/tex]

[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\sf{2x = 129}[/tex]

[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\sf{\frac{ \cancel2x}{ \cancel2}=\frac{129}{2}}[/tex]

[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\sf{x = \frac{129}{2}}[/tex]

[tex]\pink{━━━━━━━━━━━━━━━━━━━━━━━━━━━━━}[/tex]

[tex]{\pink{\boxed{\blue{2x - 17 = 51 + 61}}}}[/tex]

2x - 17 = 51 + 61

[tex]{\blue{\boxed{{Take -17 \: \: to \: \: the \: \: other \: \: side \: \: and }}}}[/tex]

[tex]{\blue{\boxed{{its \: \: sign \: \: will \: \: change \: \: \: into \: \: + }}}}[/tex]

2x = 112 + 17

2x = 129

[tex]{\blue{x = {\pink{ \frac{129}{2} }}}}[/tex]

Answer:

C

Step-by-step explanation:

Line does not go over 1 on the y-axis

i think the answer is 336 bc 384+288=672 then divide

2 is 336,

(so sorry if im  wrong)

Answer:  it is D 546.817

Answer:

[tex]x^{2} +y^{2}=25[/tex]

[tex]x^{2} +y^{2}=5[/tex]

Radius: 5

Radius: [tex]\sqrt{5}[/tex]

Step-by-step explanation:

(see images below)

Hope this helped!

~rere

Answer:

D

Step-by-step explanation:

Cos^2 2x=1/4

Cos 2x =+-1/2

2x=z

Cos z=+-1/2

z1=pi/3

z2=11pi/3

z1 and z2 are possible.

x1=pi/6

x2=11pi/6

Answer:

An Acre is a propduct of any rectangular plot of land giving a total of 4,046sqm OR 43,560sq ft. An Acre consist of 6 plots each measuring 6 x 120ft. In Lagos State, the standard size of a plot is 60 x 120ft (18m x 36m ie 648sqm), while in some other cities of the country, plots are measured in 50 x100ft.

Step-by-step explanation:

Answer:

155.24

Step-by-step explanation:

[tex]\text{Apply sine rule,}\\\\~~~~~~~~\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}\\\\\\\implies \dfrac{b }{\sin B} = \dfrac{c}{ \sin C}\\\\\\\implies b = \dfrac{c \cdot \sin B}{\sin C}\\\\\\\implies b = \dfrac{197\sin 52^\circ}{\sin 51^{\circ}}~~~~~~~~~;\left[\angle C = 180^{\circ} - 77^{\circ} -52^{\circ} = 51^{\circ} \right]\\\\\\\implies b \approx 200[/tex]

Answer: (6,1)

Step-by-step explanation:

     Coordinate points are written as (x, y).

     Here is a tip for finding coordinate points on a graph:

[1] Start at the origin, point (0, 0) on the graph

[2] "Walk left/right to the elevator" - this is the x-coordinate value

[3] "Go up/down the elevator" - this is the y-coordinate value

     Here is an example, using your problem:

-> See attached

[Points in Blue] Move one unit right, three units up to (1, 3)

[Points in Red] Move two units right, seven units up to (2, 7)

[Points in Green] Move 6 units right, one unit up to (6, 1)

    -> This means the answer to your problem is the third option, (6, 1)

If you are color blind, let me know and I will rephrase it.

Answer:

it should be A if not im sorry

Step-by-step explanation:

Answer:

[tex]2 ^ { 4 } x \div 2x=64\\2^{4}x^{2}=128 \\16x^{2}=128 \\x^{2} = 128 \div 16\\x^{2}=8 \\x = \pm 2\sqrt{2}[/tex]

Answer: no solution  or  x ∈ Ø

Step-by-step explanation:

(2⁴ × x) ÷ 2x = 64

16x ÷ 2x = 64

[tex]\frac{16x}{2x} = 64[/tex]

8 = 64

8 = 64, x [tex]\neq[/tex] 0

8 = [tex]8^{2}[/tex]

2 = ㏒₈ 8

2 = 1

Answer:

slope = 2.25

Step-by-step explanation:

This equation is written in slope-intercept form, which has the general structure: y = mx + b.

In this form, "m" = slope and "b" = y-intercept.

Therefore, the slope is 2.25 since it is replacing the "m" variable.

To solve this problem, we have to find the net displacement and the net force and the multiply the dot product together and get the work done.

The work done on moving the object is 27ft*lbs

To find the work done on this object, let's find the net force on the object.

Data;

The unit vector of the force is

[tex]\sqrt{4^2 +(-2)^2} =\sqrt{16 + 4} = \sqrt{20}[/tex]

[tex]\frac{4}{\sqrt{20} }, \frac{-2}{\sqrt{20} }[/tex]

The net force acting on the object is

[tex]F = 4(\frac{4}{\sqrt{20} }, \frac{-2}{\sqrt{20} })\\F= (\frac{16}{\sqrt{20} }, \frac{-8}{\sqrt{20} } )[/tex]

The displacement on the object is 7ft through (0,4) to (5, -1)

The unit vector on displacement is

[tex]\sqrt{5^2 + (-1-4)^2} = \sqrt{25+25} = \sqrt{50}[/tex]

[tex]\frac{5}{\sqrt{50} }, \frac{-5}{\sqrt{50} }[/tex]

The net displacement will be

[tex]7(\frac{5}{\sqrt{50} }, \frac{-5}{\sqrt{50} }) = \frac{35}{\sqrt{50} }, \frac{-35}{50}[/tex]

The work done will be F.d

[tex]w = f. d \\[/tex]

[tex]w = (\frac{16}{\sqrt{20} }, \frac{-8}{\sqrt{20} } ) * \frac{35}{\sqrt{50} }, \frac{-35}{50}\\w = 17.71+ 8.854\\w = 26.567 = 27ft*lbs[/tex]

The work done on moving the object is 27ft*lbs

Learn more on work done on an object here;

https://brainly.com/question/26152883

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Answer: the answer is B 27ft

Step-by-step explanation: its cam btw

Answer:

a. <B = 53°

b. BC = 14

c. x = 14

Step-by-step explanation:

a. <B = ?

Use Sine.

Sine(<B) = 12 /15

<B = Sin^-1(12/15)

<B = 53.13

<B = 53°

b. BC = ?

Either use Sine(<A) = BC/16 or Cosine(<C) = BC/16

Will be using Cosine.

Cosine(<C) = BC/16

Cosine(30°) = BC/16

BC = 16 * Cos(30°)

BC = 13.856...

BC = 14

c. x = ?

Looking at the triangle. The triangle is isosceles which mean two side angle or side length are the same.

x = 14

Answer:

A: 53.13

B:13.86

C: 14

Step-by-step explanation:

A can be found by using the trigonometric ratio Sin.

Sin=

[tex] \frac{opp}{hyp} [/tex]

And we have our opposite side and hypotenuse. so insert it:

Sin=12/15

Therefore use sin inverse and input that fraction

[tex]sin { }^{ - 1} ( \frac{12}{15} )[/tex]

=53.13010235

Rounded off to two decimals

=53. 13

B can be found using sin again. Since we know that Sin is opp/hyp and we have the hyp, we are now looking for the opp.

So use Sin(60)=BC/16

Multiply 16 on both sides to get: 16Sin(30)=BC

13.85640646=BC

rounded off to two decimals:

13.86

C can be found using Tan. Tan is opp/adjacent

We have the adjacent and we are looking for the opposite.

So use:

tan(45)=X/14

Multiply 14 on both sides

14tan(45)=X

14=X

Hope that helps!

Answer:

gago putangina mo bold

panget

answer is 31 dimes, 11 nickels

see picture attachment for the math

equation is .05N + .10D = 3.65

value of nickels and dimes

using D + N = 42

change to find value of N = 42 - D

plug value of N into the equation and solve

Answer: y = -2x - 4

Step-by-step explanation:

This question asks that you give your answer in slope-intercept form, which is written as y = mx + b, where m is the slope, and b is the y-intercept.

In order to write an equation for this line in slope-intercept form, you need to find the slope and the y-intercept. You can find the slope by selecting any two clear points on the graph and finding the [change in y] ÷ [change in x].

For example, I’ll use (-3, 2) and (-2, 0):

Change in y: 2 - 0 = 2

Change in x: -3 - (-2) = -1

Change in y ÷ Change in x = 2 ÷ (-1) = -2

So, the slope, m, is -2. Finding b, or the y-intercept is a lot more straightforward; you just find where the line intercepts the y-axis, or when x = 0. Looking at the graph, we can see that the y-intercept is -4, so b = -4.

Now, we can put these together in an equation.

y = mx + b, where m = -2 and b = -4

y = -2x -4

Answer:

5 dimes and 10 nickels

Step-by-step explanation:

0.1d + 0.05n = 1

d + n = 15

d + 0.5n = 10

d + n = 15

0.5n = 5

n = 10

d + n = 15

d + 10 = 15

d = 5

Answer: 5 dimes and 10 nickels

Answer:

26.2

X = 22.27/(1 - 0.15)

X = 22.27/0.85

X = 26.2

The correct answer is option D which is a = 5, b = 2, c = - 1.

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that:-

The general form of the equation is given as:-

Y = ax² + bx + c

We have a quadratic equation:-

y = 5x² + 2x - 1

By comparing the equation with the general form the value of a, b and c is calculated:-

a  =  5

b  =  2

c  =  -1

Therefore the correct answer is option D which is a = 5, b = 2, c = - 1.

To know more about quadratic equations follow

https://brainly.com/question/1214333

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Answer:

711001392

321000759

Step-by-step explanation:

hope it helps ^o^

Type such digits that's are correlated to both numbers but they are not present in both rather than present in one.

They can be 2 and 7 or 5 and 9

You can write other one also

Answer:

you will have to get a protractor and angle side right