Find the value of X and Y. Brainliest if you show work. Please and thank you

Answer:

Arithmetic Sequence

[tex]T_n = 240-60n[/tex] ---- Explicit

[tex]T_n = T_{n-1} - 60[/tex] --- Recursive

Geometric Sequence

[tex]T_n = 270* (\frac{2}{3})^n[/tex] ---- Explicit

[tex]T_n = T_{n-1} * \frac{2}{3}[/tex] ---- Recursive

Step-by-step explanation:

Given

[tex]180, 120,....[/tex]

(a) Assume it is an arithmetic sequence

The explicit formula is calculated using:

[tex]T_n = a + (n - 1)d[/tex]

Where

[tex]a = 180[/tex]

[tex]d = 120 - 180[/tex]

[tex]d = -60[/tex]

So, we have:

[tex]T_n = 180 + (n - 1)*-60[/tex]

[tex]T_n = 180 -60n + 60[/tex]

Rewrite

[tex]T_n = 180 + 60-60n[/tex]

[tex]T_n = 240-60n[/tex]

The recursive function is calculated using:

[tex]T_1 = 180[/tex]

[tex]T_2 = 120 = 180 - 60 = T_1 - 60[/tex]

[tex]T_3 = 60 = 120 - 60 = T_2 -60[/tex]

-

[tex]T_n = T_{n-1} - 60[/tex]

(b) Assume it is a geometric sequence

The explicit formula is calculated using:

[tex]T_n = ar^{n-1}[/tex]

Where

[tex]a = 180[/tex]

[tex]r = \frac{120}{180}[/tex]

[tex]r = \frac{2}{3}[/tex]

So, we have:

[tex]T_n = 180 * (\frac{2}{3})^{n-1}[/tex]

Split

[tex]T_n = 180 * (\frac{2}{3})^n \div (\frac{2}{3})^1[/tex]

[tex]T_n = 180 * (\frac{2}{3})^n \div (\frac{2}{3})[/tex]

Rewrite as:

[tex]T_n = 180 * (\frac{2}{3})^n * (\frac{3}{2})[/tex]

[tex]T_n = 180 * (\frac{3}{2})* (\frac{2}{3})^n[/tex]

[tex]T_n = 180 * \frac{3}{2}* (\frac{2}{3})^n[/tex]

[tex]T_n = 90 * 3* (\frac{2}{3})^n[/tex]

[tex]T_n = 270* (\frac{2}{3})^n[/tex]

The recursive function is calculated using:

[tex]T_1 = 180[/tex]

[tex]T_2 = 120 = 180 * \frac{2}{3} = T_1 * \frac{2}{3}[/tex]

[tex]T_3 = 80 = 120 * \frac{2}{3} = T_2 * \frac{2}{3}[/tex]

-

[tex]T_n = T_{n-1} * \frac{2}{3}[/tex]

Answer:

well learn math

Step-by-step explanation:

did you know that everyday is someone's birthday? if you don't

then Three piggies in the city.

Step-by-step explanation:

the height of the triangle = √(5×15)= √75

=5√3 units

the base of triangle= 20 units

so, the area = ½×20×5√3= 50√3 units

or 86.60 units

Answer:

try doing 18.1

Step-by-step explanation:

hope this helps

Answer:

true, yes

Step-by-step explanation:

Answer:

I think it's true but I could be wrong

Answer:

4 are pink

Step-by-step explanation:

We have an uneven denominator So basically we Times  2/5 by 2/2

and we get 4/10

So out of the 10, 4 are Pink.

I hope this helps!

Answer:

6:1

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

With each flip of the coin, the chance of it landing on tails is multiplied by half. Hence the chance of landing a consecutive series of tails decreases the more times you flip the coin, but never reaches 0.

A is incorrect as it is possible to land heads on any flip.

B is incorrect as there is always a possibility of landing tails on every flip.

C is incorrect as the chance of getting tails on every flip is small (and gets smaller) and hence cannot be considered to be likely.

Hence D is the answer.

Answer:

a) one solution(x = 9)

b) no solution

c) infinite solutions

Step-by-step explanation:

a) To solve this equation, we can add 4 on both sides in order to isolate x:

x - 4 =5

+ 4     + 4

x = 9

Since x equals 9, that counts as only one solution, as there is only one value of x that makes the equation true.

b) We start by subtracting 2x from both sides to combine the variable terms:

2x - 6 = 2x + 5

-2x         -2x

-6 = 5

The statement, -6 = 5 is never true and it is not dependent on the value of x. This means there are no solutions to this equation.

c) We can start by subtracting 3x from both sides to combine the terms with x:

3x + 12 = 3x + 12

-3x          -3x

12 = 12

The statement above is always true, and no matter the value of x, it will always be true. This means there are infinite solutions to the equation.

Answer:

257.48 inches

Step-by-step explanation:

pi * radius^2 * Hight

find radius by dividing the diameter in half

pi = 3.14

Answer:

From Triangles...

The sum of two opposite interior angles = the exterior

so

3x-2 + 9x + 7 = 14x - 19

12x +5=14x -19

Collecting Like terms

2x= 24

x= 12°.

For "m"

Sum of angles in a triangle=180°

So

180 - (19x-3+9x-2) = m

180 -(28x -5) =m

m= 180 - 28x + 5

m=185 - 28x.

Now

Since sum of everything in a triangle = 180

185 - 28x + 9x -2 + 19x - 3 = 180

185 -28x + 28x -5= 180

185-5=180

180=180

Answer:

Greater than 15.

Step-by-step explanation:

Answer:

Step-by-step explanation:

P = 3a

3a > 45

a > 15

Answer: $11.2

Step-by-step explanation:

Given

Cora bought 90 feet cable for [tex]\$25.20[/tex]

So, the price of a foot is the division of rate and length

[tex]\Rightarrow \text{Price P=}\dfrac{25.20}{90}\\\\\Rightarrow P=\$0.28\ \text{per foot}[/tex]

for additional 40 feet, the cost is

[tex]\Rightarrow 0.28\times 40\\\Rightarrow \$11.2[/tex]

Thus, Cora pays $11.2 for extra 40 feet

Answer:

pi*15*7^2=735pi=2309 (to the nearest whole number)

Answer:

X=55° Y=35°

Step-by-step explanation:

X+Y=90°

Y= x-20

(X-20)+X=90°

2X-20=90°

2X=110°

X=55°

55°+Y=90°

Y=35°

Answer:

(x + 3)(x - 3)

Step-by-step explanation:

[tex] {x}^{2} - 9 \\ = {x}^{2} - {3}^{2} \\ = (x + 3)(x - 3)[/tex]

Answer:

15

Step-by-step explanation:

4 x __ = 12

the blank would be 3, once you did it on one side you have to do it on the other side too

5 x 3 = 15

Another way you can do it is by...

[tex]\frac{4}{12}[/tex] = [tex]\frac{5}{x}[/tex]

solve for x (cross multiply)

Answer:

15

Step-by-step explanation:

CO : CL = OR : LA

* substitute the side letters with the given side lengths *

( let AL = x )

4 : 5 = 12 : x or

[tex]\frac{4}{5} =\frac{12}{x}[/tex]

now we solve for x by cross multiplying

4 * x = 4x

12 * 5 = 60

now we have 4x = 60

step 2 divide each side by 4

4x / 4 = x

60 / 4 = 15

we're left with x = 15

hence LA = 15

Answer:

X+2=2x

x+8=8x

(2x).(8x)=16x

Answer:

-6,3....................

Answer:

(-4,3)

Step-by-step explanation:

Answer:

opposite=8.402402490459  ,adjacent is already given=12, hypotenuse=14.64929507

Step-by-step explanation:

to do this you will have to use the law of sines. the first thing you need to do is solve for the unknown angle by subtracting 90+35 from 180. so you get the equation 180-(90+35)=55. now that you know all your angles, you can use the law of sines to solve for the unknown sides. the law of sines state that a/sin(A)=b/sin(B). if you substitute the values of 12 and 55 into the equation, since you know those sides, you can then find a ration that you can use to find the other sides, 12/sin(55)=b/sin(B), which is equal to, 14.649... Next you pick whichever side you want to solve for next, and plug in its opposite angle (i would solve for the other leg, because then you can use pythagorean theorem to solve for the hypotenuse, so i will demonstrate that way) plug in the angle 35, since it is opposite the leg and then finish for the variable, 14.649...=b/sin(35). once you have the sin, you can multiply it by the 14.649 to get your side, 14.649...*.5736...=8.402...=b. now you have your two legs, so you can use a^2+b^2=c^2 to solve for the hypotenuse. once you plug in your values it should look like this, 12^2+8.402...^2=c^2. which simplifies down to 214.602...=c^2. so you take the square root of both sides to find c, which equals 14.649. you can check that by seeing if 14.649 is bigger then the other two sides, which it is. This number should look familiar because it was the ratio we got when we divided 12 by the sin(55). the reason that happened is because the sin(90) is 1, the 14.649*1=14.649.

If you have any questions, leave them in the comments and will try to answer them, if this helped, pls give brainliest.

Answer:

x > - 2

Step-by-step explanation:

3x + 9 < 3

3x (+ 9 - 9) < 3 - 9

3x < -6

3x/3 < -6/3

x > -2 (dividing by negative numbers, you reverse the inequality sign at the end of an equation)

Answer:

[tex]x^{5/6 } + 2\cdot x^{7/3}[/tex]

Step-by-step explanation:

Let be [tex]x^{1/3}\cdot (x^{1/2} + 2\cdot x^{2})[/tex], which can be simplified solely by algebraic means. We proceed to describe all the steps needed for simplification:

1) [tex]x^{1/3}\cdot (x^{1/2} + 2\cdot x^{2})[/tex]  Given.

2) [tex]x^{1/3}\cdot x^{1/2} + 2\cdot (x^{1/3}\cdot x^{2})[/tex] Distributive and associative properties.

3) [tex]x^{5/6 } + 2\cdot x^{7/3}[/tex] [tex]a^{m}\cdot a^{n} = a^{m+n}[/tex]/Result

Answer:

C. 80 ft

Step-by-step explanation:

Volume=width ×height ×length

5×2×8 = 80

Answer:

B, C, D

Step-by-step explanation:

9x4=36 Yes

12x3=36 Yes

6x6=36 Yes

9x9=81 No

8x4=32 No

Answer:

[tex]\bold{4z+18}[/tex]

Step-by-step explanation:

Hi there!

The Distributive Property states that

[tex]\bold{a(b+c)=ab+ac}[/tex]

Now, let's use this property to solve our problem:

[tex]\bold{2(2z+9)}[/tex]

[tex]\bold{4z+18}[/tex]

Hope it helps! Enjoy your day!

~Just a teenage girl willing to help

[tex]\bold{Besties4Ever:-):-)}[/tex]

Hi, let me help you out!

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

In order to simplify this, we're going to use a property that's called the Distributive Property:

[tex]\longrightarrow\tt{a(b+c)=ab+ac}[/tex]

Where a, b, and c can be variables, constants, or both (like 4c).

Now let's simplify our expression:

[tex]\longrightarrow\tt{2(2z+9)}[/tex]

Multiply 2 times 2z and 9:

[tex]\longrightarrow\tt{4z+18}[/tex]

Hence, we conclude that the answer is: [tex]\tt{4z+18}[/tex].

I hope this helps you! Have an awesome day.

If you need any explanation or clarification, just let me know! :)

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Answer: C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of the figure is a sum of area of rectangle 4 cm × 7 cm and trapezoid with bases of 19 cm i 7 cm and altitude of 8 cm.

Therefore:

[tex]A=7\cdot4+\dfrac{7+19}2\cdot8=28+26\cdot4=132[/tex]

Answer:

V = PI*r2h

In plain english the volume of a cylinder can be calculated by squaring the radius, multiplying that value by PI, then multiplying by the height. You can also think of it as finding the area of a flat circle (PI * radius squared) and multiplying by the height to find volume.

Here is a step-by-step case that illustrates how to find the volume of a cylinder with a radius of 3 inches and a height of 5 inches. In this example PI will be 3.14.

V = pi * r2 * h

= pi * 32 * 5

= pi * 9 * 5

= 3.14 * 45

= 141.37 cubic inches

Step-by-step explanation:

The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm.

The height of the cylinder is given by h = 20 feet

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the height of the cylinder be h

Now , the volume of the cylinder V = 14,130 feet³

The diameter of the cylinder d = 30 feet

So , the radius of the cylinder r = d/2 = 15 feet

And , Volume of Cylinder = πr²h

On simplifying , we get

14,130 = π( 15 )²h

Divide by 225 on both sides , we get

πh = 62.8

Divide by π on both sides , we get

h = 62.8 / 3.14

h = 20 feet

Therefore , the value of h is 20 feet

Hence , the height of the cylinder is 20 feet

To learn more about cylinder click :

https://brainly.com/question/16134180

#SPJ3

Answer:

[tex]\sqrt{11}[/tex] is between 3 & 4

Step-by-step explanation: