find the derivative of sin2X
​

The common ratio for the given geometric sequence, written as a fraction is [tex]\frac{5}{8}[/tex]

Given the following geometric sequence:

To determine the common ratio for the given geometric sequence:

The common ratio of a geometric sequence refers to the ratio or constant factor between two (2) consecutive numbers in the sequence.

Mathematically, the common ratio of a geometric sequence is given by the formula:

[tex]C=\frac{T_{n+1}}{T_n}[/tex]

Substituting the given parameters into the formula, we have;

[tex]C = \frac{300}{480} \\\\C=\frac{30}{48} \\\\C=\frac{5}{8}[/tex]

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Answer:

x = 80

Step-by-step explanation:

4/5 = x/100

100 · 4/5 = 100 · x/100

100 · 4/5= x

80 = x

x = 80

Hence, The Answer is 80.

Answer:

D.

Step-by-step explanation:

The question is asking which expressions are the same. To find the answer, or rather confirm it, you should simplify each expression.

A. 8+(3*y) and (8+3)*y

8+3y and 11y

This cannot be the answer, when simplified they are not equal

B. (7-3)*y and 7-(3*y)

4y and 7-3y

This cannot be the answer, when simplified they are not equal

C. (6/y)+13 and 13+(y/6)

13+6/y and y/6+13

This cannot be the answer, when simplified they are not equal

D. 7+(y*5) and 7+(5*y)

7+5y and 7+5y

This is the answer, when simplified they are equal

I hoped this helped and made it easier to understand! :)

Answer:

Step-by-step explanation:

Conclusion:

Therefore, the answer is 'x = 3'.

Hoped this helped

[tex]BrainiacUser1357[/tex]

Answer:

−3(−3x−7)=48

Divide both sides by −3.

−3x−7=   48

​ Divide 48 by −3 to get −16.

−3x−7=−16

Add 7 to both sides.

−3x=−16+7

Add −16 and 7 to get −9.

−3x=−9

Divide both sides by −3.

x=  −3 −9

​ Divide −9 by −3 to get 3.

x=3

Step-by-step explanation:

Answer:

  A.  (f-g)(x) = -7x -3

Step-by-step explanation:

(f -g)(x) = f(x) -g(x) = (-3x -5) -(4x -2)

  = -3x -5 -4x +2

  = -3x -4x -5 +2

  (f -g)(x) = -7x -3

Answer:

see explanation

Step-by-step explanation:

On each median the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, or

the distance from the centroid to the midpoint is one third of the median

23

LF = 2 × HL = 2 × 30 = 60

HF = HL + LF = 30 + 60 = 90

24

KL = [tex]\frac{1}{3}[/tex] KE = [tex]\frac{1}{3}[/tex] × 15 = 5

LE = 2 × KL = 2 × 5 = 10

25

LJ = [tex]\frac{1}{2}[/tex] DL = [tex]\frac{1}{2}[/tex] × 24 = 12

DJ = DL + LJ = 24 + 12 = 36

Answer:

given vertices of triangle ABC

A(4, -3) B(-12, 8) C(6, -4)

Rotating through 90°

P (x , y) -----> P' (y , -x)

A(4, -3) ------> A' ( -3 , -4 )

B(-12, 8) -----> B' (8 , 12 )

C(6, -4) ------> C' (-4 , -6)

So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.

For a geometric series the infinite sum is given by s = a/(1 - r) where a = first term, r = common ratio and |r| < 1.

For each of the geometic series given below, we need to determine if |r| < 1.

For a₁ = -0.25, r = - 3, |r| = |-3| = 3 > 1

For a₁ = 0.75, r = 4, |r| = |4| = 4 > 1

For a₁ = 3, r = 2, |r| = |2| = 2 > 1

For a₁ = 5, r = -0.5, |r| = |-0.5| = 0.5 < 1

Since we require |r| < 1 to find the infinite sum and |r| in the last geometric series |r| = 0.5 < 1, the infinite sum can be found in the geometric series a₁ = 5, r = -0.5..

So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.

Learn more about infinite sum of geometric series here:

https://brainly.com/question/16037289

Answer: 14 miles

Step-by-step explanation: 3.5d+5+2.5d+3

Answer:  659

Step by step solution:

Answer:

659

Step-by-step explanation:

0659

8 5272

0

52

48

 47

 40

   72

   72

     0

Dividend:

5272

Divisor:

8

Quotient:

659

Remainder:

0

You may have to write this on paper because it might be hard for you to understand. I'm sorry if this isn't helping and it is very confusing, this is the only way that I could explain it. Thank you for the question and I hope you enjoy your answer :)

Answer: 27x   by the power of 4 y  by the power of5

Step-by-step explanation:

Answer:

Refers to attachment

Step-by-step explanation:

Answer:

  P = 29 units

Step-by-step explanation:

Let h represent the height of the triangle. Then 2h is the length of the base. The area is given by ...

  A = 1/2bh

  36 = 1/2(2h)(h) = h²

  h = √36 = 6

  base = 2h = 12

The base of the isosceles triangle is 12 units, and its height is 6 units.

__

The altitude line makes a right angle with the base, dividing it into two right triangles with sides of length 6. The hypotenuse (s) of each of those is given by the Pythagorean theorem as ...

  s = √(6² +6²) = 6√2

Then the perimeter of the triangle is ...

  P = base +2s = 12 +2(6√2) = 12(1 +√2) ≈ 28.97 ≈ 29

The perimeter of the triangle is about 29 units.

_____

Additional comment

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.

For an isosceles right triangle, this means the hypotenuse is √2 times the side length. (This is a useful relationship to remember, as it is used a lot in algebra and geometry problems.) The acute angles in such a triangle are 45°.

AtQ

[tex]\\ \rm\hookrightarrow \dfrac{1}{2}(2x)(x)=36[/tex]

[tex]\\ \rm\hookrightarrow x^2=36[/tex]

[tex]\\ \rm\hookrightarrow x=6[/tex]

Apply Pythagorean theorem

[tex]\\ \rm\hookrightarrow H^2=6^2+6^2=36+36=72\implies H=8.5[/tex]

Perimeter

The number of books the library holds before it received the grant is 17,312 books

Let the original number of books in the library be x

If the collection  now is five times more than the original number of books, then;

x + 69,248 = 5x

5x - x = 69,248

4x = 69,248

x = 69,248 /4

x = 17,312

Hence the number of books the library holds before it received the grant is 17,312 books

Learn more on equations here: https://brainly.com/question/25678139

Answer:

i can help u if u need help

Step-by-step explanation:

Answer:

it's not Christmas but OK.

Step-by-step explanation:

btw thx!!

Using the mid-point concept, it is found that the coordinates of B are (-2, -1).

In this problem:

Applying the concept for both the x and y-coordinates, we have that:

[tex]\frac{x + 2}{2} = 0[/tex]

[tex]x + 2 = 0[/tex]

[tex]x = -2[/tex]

[tex]\frac{-5 + y}{2} = -3[/tex]

[tex]-5 + y = -6[/tex]

[tex]y = -1[/tex]

The coordinates of B are (-2, -1).

To learn more about the mid-point concept, you can take a look at https://brainly.com/question/10956693

Answer:

 Ok so im not to sure but I think its 40.62 but i could be wrong since it was worded odd

Step-by-step explanation

to find the mean you add all the numbers together

72 + 75 + 78 + 72 + 73 = 370

then you divide by the number of numbers there are

370/5= 74

74

72+75+78+72+73 = 370

370/5 = 74

Answer: No

Step-by-step explanation:

Because 4 is used 2 times in the x coordinates it is NOT a function

Answer:

y = 4/3x + 4

Step-by-step explanation:

-4 - 8 / -6 - 3

-12 / -9

4/3 is slope

y = 4/3 x + b so we need to find b

Put one of the points in for y and x.

-4 = 4/3 (-6) + b

-4 = -8 + b

4 = b

y = 4/3x + 4

Answer:

3

Step-by-step explanation:

Answer:

it's d

.

hope I helped! I need to write more words so I can send this

Answer:

The answer is A

Step-by-step explanation:

|6x + 3| = 27

6x + 3 = 27

6x + 3 = -27

6x = 24

6x = -30

x = 4

x = -5

So:

x = 4, -5

Answer:

7 3/5 or 38/5

Step-by-step explanation:

13 2/5 - 5 4/5 = 38/5 = 7 3/5

Answer: 3rd one got it right on mine

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

6 is a solution to x-6=0, -6 is a solution to x+6=0, and 6i is a solution to x^2+36=0. So, we can do (x-6)(x+6)(x^2+36) to get (x^2-36)(x^2+36) which gets us x^4-1296. Therefore, the fourth degree polynomial with zeroes 6, -6, 6i is x^4-1296

Answer:

a equals  and b equals 7

Step-by-step explanation

divide both side by 3 getting a+b=(28/3)

subtract b from both sides getting a=(28/3)-b

to solve for b its the same way so b=(28/3)-a

you can then substitute

Answer:

[tex] - 8(6x + 3) = - 8 \times 6x + - 8 \times 3 \\ = - 48x - 24[/tex]

Answer:

x = 12

Step-by-step explanation:

The measures of ∠XYW and ∠WYZ would equal m∠XYZ.

[tex]3x + 2 + 72 = 110\\\rule{150}{0.5}\\3x + 74 = 110\\\\3x + 74 - 74 = 110 - 74\\\\3x = 36\\\\\boxed{x = 12}[/tex]

Hope this helps.

Answer:

5 cups of coffee

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

1 grandmother = 1 cups

2 mothers = 2 cups

2 daughters = 2 cups

2 + 2 + 1 = 5

Answer:

  x = 17

Step-by-step explanation:

The hash marks indicate that the segment marked x+2 connects the midpoints of the sides of the triangle. Therefore, it is a "midline" and has half the length of the parallel base.

  x +2 = 1/2(38)

  x = 19 -2 . . . . . subtract 2

  x = 17

Answer:

Step-by-step explanation:

The hands are two line segments that share the same endpoint.