What is the ratio 780 to 220 simplified?

Find the sum of the first 8 terms in the geometric sequence: 1, 3, 9, 27,

Butoxors [25]

The sum of the first 8 items in the geometric sequence:1, 3, 9, 27, ...etc is 3280.

Step-by-step explanation:

The given is,

sequence: 1,3,9,21,.. etc

Step:1

The given is based on multiplication of 3 to previous number,

( x - previous number, next number = 3 × $x$ )

First term : 1

Second term : 1 × 3 = 3

Third term : 3 × 3 = 9

Fourth term : 9 × 3 =27

Fifth term : 27 × 3 = 81

Sixth term : 81 × 3 = 243

Seventh term : 243 × 3 = 729

Eighth term : 729 × 3 = 2187

Step:2

Sum of first 8 terms $= 1 + 3 + 9 + 27 + 81 + 243 + 729 + 2187$

= 3280

Sum of first 8 terms = 3280

Result:

The sum of the first 8 items in the geometric sequence:1, 3, 9, 27, ...etc is 3280.

7 0

2 years ago

PLS help me Order four and seven tenths repeating, negative four and eight ninths, 490%, and −4.9 from least to greatest.

Digiron [165]

The order from least to greatest negative four and seven tenths repeating, negative four and eight ninths, 490%, and −4.9 from least to greatest is; option A

−4.9,
negative four and eight ninths
four and seven tenths repeating
490%,

<h3>Ascending order</h3>

four and seven tenths repeating

= 4.77777777

negative four and eight ninths

= -4 8/9

= -4.888888888888888

490%

= 490/100

= 4.9

−4.9

Rearranging from least to greatest (ascending order)

-4.9
-4.888888888888888
4.77777777
4.9

Learn more about ascending order;

brainly.com/question/12783355

#SPJ1

6 0

2 years ago

You don’t need to tell me the answer, but could you tell me the formula on how to get the answer ?

steposvetlana [31]

Formula used: cos(x) = $\frac{adjacent}{hypotenuse}$

Hope this helped!

~Just a girl in love with Shawn Mendes

3 0

3 years ago

Graph the image of square CDEF after a reflection across the x-axis

Rina8888 [55]

Answer:

If you have a general point (x, y), and you reflect it across the x-axis, the coordinates of the new point will be:

(x,-y)

So we only change the sign of the y-component.

Now, if we do a reflection across the x-axis of a whole figure, then we apply the reflection to all the points that make the figure.

Then, we could just apply the reflection to the vertices of the square, then graph the new vertices, and then connect them, that is equivalent to graph the image of the square after the reflection.

The original vertices are:

C = (-3, 7)

D = (0, 7)

E = (0, 10)

F = (-3, 10)

Now we apply the reflection, remember that this only changes the sign of the y-component, then the new vertices are:

C' = (-3, -7)

D' = (0, -7)

E' = (0, - 10)

F' = (0, - 10)

Now we need to graph these points and connect them to get the reflected figure, the image can be seen below.

5 0

2 years ago

The domain (input values) of the sine function is:

Nikolay [14]

The input of each of these functions is always an angle, and as you learned in the previous sections, these angles can take on any real number value. Therefore the sine and cosine function have the same domain, the set of all real numbers, \begin{align*}R\end{align*}

3 0

2 years ago