Solve for x. Show work

Answer:

9√2

Step-by-step explanation:

simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact form:9√2

Decimal form: 12.72792206

The value of [tex]a_{4} = 37[/tex].

Here,

The value of [tex]a_{1} = 4[/tex]

And,  [tex]a_{n} = 2 a_{n-1} -1[/tex]

We have to find value of [tex]a_{4}[/tex].

What is Sequence?

A sequence is a collection of elements that are arranged according to a specific pattern.

Now,

The value of [tex]a_{1} = 4[/tex]

And,  [tex]a_{n} = 2 a_{n-1} -1[/tex]

Then to find value of [tex]a_{4}[/tex], we can find [tex]a_{2} , a_{3}[/tex] as;

[tex]a_{2} = -2(a_{1} ) - 1\\a_{2} = -2(4) - 1\\a_{2} = -9[/tex]

And,

[tex]a_{3} = -2(a_{2} ) - 1\\a_{3} = -2(9) - 1\\a_{3} = -19[/tex]

Hence, the value of [tex]a_{4}[/tex] is;

[tex]a_{4} = -2(a_{3} ) - 1\\a_{4} = -2(-19) - 1\\a_{4} = 37[/tex]

Therefore, The value of [tex]a_{4} = 37[/tex].

Learn more about the sequence visit:

https://brainly.com/question/7882626

#SPJ2

Answer:

Step-by-step explanation:

Sphere

1.V≈113.1m³

V=4 /3πr3=4/ 3·π·33≈113.09734m³

Sphere

2.R =6cm

Volume of sphere = 4/3πr^3

4/3πr^3=288π

r^3=288*3/4

r^3=216

r=6cm

Cone

3.V≈314.16m³

V=πr^2h/ 3=π·52·12/ 3≈314.15927m³

Cone

4. h≈2.55m

Using the formula

V=πr^2h/ 3

Solving for h

h=3V/ πr^2=3·96/ π·6^2≈2.54648m

Cylinder

5.V≈75.4m³

Solution

V=πr2h=π·22·6≈75.39822m³

Cylinder

6.h≈0.95m

Using the formula

V=πr2h

Solving for h

h=V/ πr^2=75/ π·5^2≈0.95493m

Hope this helped!!!

Answer:

The answer to this question is 68

Answer:

m∡ABD = 68°

Step-by-step explanation:

let x = m∡ABD

44 + 2x = 180

2x = 136

x = 68

Answer:

7.20

Step-by-step explanation:

Answer:

AAAAAA

Step-by-step explanation:

Answer:

Step-by-step explanation:

11) strategy:  since they tell us. indirectly,  that the length of  JK is the same as LM then we can set those two equal, solve for X  and then.. when we have X we can figure out the lenght of JK  and LM and then just divide that by 2 go get PK  ( :0 Player Killer ???  no , not that PK)    

solve JK and LM

3x + 23 =9x-19

42 = 6x

7 = x

now that we know x = 7 plug it into either equation to come up with the length of JK or LM .  I'll pick JK just b/c it was 1st

3(7) + 23 = JK

21+23 = JK

44 = JK

now take half of 1/2*JK= 22  that is PK    ( are you sure that 's not player killer?)

PK = 22

12) strategy: set the two arcs BG and GC equal and solve for X, then plug x into either equation and the multiply the answer by 2 to find arc AB

9x-20 = 5x + 28

4x = 48

X = 12

9(12) -20 = BG

88 = BG

2*88 + AB

176 = AB

13) done

14)  strategy: find the angle at L,  and that will also be the arc of MK

copy and past the below helpful trig functions into your computer

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

copy and past the above :

use which ever trig function you want , we have all the sides of the triangle, I'll use CAH

Cos(Ф) = 9/15

Ф = arcCos(9/15)

Ф = 53.13010°

arc MK = 53.13010°

15)   strategy:  arc JK is just 2 times MK

2*MK = 106.26020°

arc MK = 106.26020°

16) find arc JPK   strategy:  JPK is just the remaining part of a full circle of 360 - MK  = 253.7397°

arc JPK = 253.7397°

Answer:

$21.8

Step-by-step explanation:

Carlos is buying a shirt that costs $20 the sales tax is 9% what is the total

Given data

Cost= $20

Tax= 9%

Amount of tax=

9/100*20

0.09*20

1.8

Total amount

=1.8+20

=$21.8

Answer: Answer to 13 is 16 as it is 81+ days. Answer 14 is 16/50 which is 32 percent The median on 15 is the 6th value and the minimum value is the smallest number in the sequence provided. The lower quartile is the 3rd number in the sequence but you need to put them from smallest to largest. The upper quartile is the 9th number in the sequence. The maximum value is the biggest number in the sequence

Step-by-step explanation:

Answer:

d) none of these lines fit the data

Answer:

This has to be D - None of the lines fit the data

B > data at the end

A > data at the beginning

C doesn't really match at all.

[tex]\mathtt{: )}[/tex]

Answer:

360 square inches

Step-by-step explanation:

There are 360 square inches in 2.5 square feet.

To find out how many square inches are in 2.5 square feet, we need to multiply the number of square feet by the conversion factor.

Given that there are 144 square inches in 1 square foot, we can set up a proportion to solve for the number of square inches in 2.5 square feet:

1 square foot = 144 square inches

2.5 square feet = x square inches

Setting up the proportion:

1 square foot / 144 square inches = 2.5 square feet / x square inches

Cross-multiplying the proportions:

(1 square foot) x square inches = 144 square inches  (2.5 square feet)

Simplifying the equation:

x square inches = 144 square inches (2.5 square feet)

Multiplying the values:

x square inches = 360 square inches

Therefore, there are 360 square inches in 2.5 square feet.

To learn more about multiplication;

https://brainly.com/question/19634536

#SPJ6

Answer:

4^2+3^2=x^2

16+9=x^2

25=x^2

X=5

So the answer is 5

Explanatio⁣n i⁣s i⁣n a fil⁣e

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

y = 4

Step-by-step explanation:

Answer:

For any value of x, g(x) will always be greater than h(x)

g(x) > h(x) for x = -1

For positive values of x, g(x) > h(x).

For negative values of x, g(x) > h(x).

Answer:

Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.

g(x) > h(x) for x = -1.  

For positive values of x, g(x) > h(x).  

For negative values of x, g(x) > h(x).

Step-by-step explanation:

and for the lazy people its just C, E, F

Answer:

34.8 to 1 dp

Step-by-step explanation:

18/2 = 9

Area of rectangle 18 X 9 = 162 cm^2

diameter of each circle 9

radius = 4.5

Area of a circle = πr^2

π X 4.5^2 = 63.6172512

63.6172512 X 2 (there are 2 circles) = 127.234502

162 - 127.234502 = 34.7654975

34.8 to 1dp

Answer:

28 cm

Step-by-step explanation:

the unmarked angle is 32°

180°-90°-58°=32°

cos(32°)=[tex]\frac{24}{c}[/tex]

c=[tex]\frac{24}{cos(32\textdegree)}[/tex]

=28.3

≈28

Answer:

OPA OPA OPA OPA OPA OPA OPA OPA

Step-by-step explanation:

_. ._

\_(``-)_/

Answer:

its by chance yk

Step-by-step explanation:

Answer:

Step-by-step explanation:

So you want to isolate the y, so add 4x to both sides of the problem. So now we have y < -7 + 4x. Now since adding can go both ways (in its own equation) you can turn around the 7 and 4. So we have y < 4x -7

The pie chart is presented in 3D. While it may look interesting or cool, it's better to convey the data in a flat 2D form instead. The reason why is because it's possible to perceive some slices to be larger than they actually should be. The green slice shows the thickness of it, or the height of the pie slice. The same is for the yellow slice as well. We cannot see the thickness portions of the red or blue slices. So it's very possible that a reader may think that the yellow slice is larger than the blue one, even though they represent the same percentages (so the slices should be the same size).

Also, there's a worry that slices in the back further away from the camera will appear smaller due to the 3D nature of the graph. This helps make the yellow slice (which is closer to the camera) appear slightly larger than the blue slice (further away from the camera). These are slight differences that may be overlooked and could not be an issue; however, it is possible to distort things and make the differences greater. So that's one thing you have to be careful about when it comes to 3D graphs like this. The author of this graph may have not had an intention to deceive, and they may have simply wanted to make it look nice and catch the eye better, but there's no way of knowing for sure. It's simply best to always be on the lookout for anything misleading like this. It happens quite often in statistics.

Answer:

Well,for me it's letter C.

Answer:

a

Step-by-step explanation:

73+25=98

66+32=98

Answer:

En matemática, un polígono construible es un polígono regular que puede ser construido con regla y compás. Por ejemplo, un pentágono regular es construible con regla y compás mientras que un heptágono regular no lo es.En matemática, un polígono construible es un polígono regular que puede ser construido con regla y compás. Por ejemplo, un pentágono regular es construible con regla y compás mientras que un heptágono regular no lo es.

Answer:

Area is 12 square meter

Step-by-step explanation:

The formula for the area of a triangle is 1/2 (b)(h)

which is 1/2 (6)(4) which is 12.

Answer:

i think its help..............

Answer:

[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} + \rm C[/tex]

Step-by-step explanation:

we would like to integrate the following integration

[tex] \displaystyle \int \cos ^{3} (x) dx[/tex]

in order to do so rewrite

[tex] \displaystyle \int \cos ^{2} (x) \cos(x) dx[/tex]

we can also rewrite cos²(x) by using trigonometric indentity

[tex] \displaystyle \int( 1 - \sin ^{2} (x) )\cos(x) dx[/tex]

to apply u-substitution we'll choose

[tex] \rm \displaystyle u = \sin ^{} (x) \quad \text{and} \quad du = \cos(x) dx[/tex]

thus substitute:

[tex] \displaystyle \int( 1 - {u}^{2} )du[/tex]

apply substraction integration and:

[tex] \displaystyle \int 1du - \int {u}^{2} du[/tex]

use constant integration rule:

[tex] \displaystyle u - \int {u}^{2} du[/tex]

use exponent integration rule:

[tex] \displaystyle u - \frac{ {u}^{3} }{3} [/tex]

back-substitute:

[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} [/tex]

finally we of course have to add constant of integration:

[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} + \rm C[/tex]