What is a acute angle?

What is the value of t=1 ∑³ (4 x 1/2^t-1)

Stels [109]

Answer:

7

Step-by-step explanation:

$\sum\limits_{t=1}^{3}(4\cdot(\frac{1}{2})^{t-1})$

This is the sum of the first three terms of a geometric sequence, where the first term is 4 and the common ratio is ½.

We can use a formula to find the sum, or, since there's only three terms, we can find the value of each term then add up the results.

4 · (½)¹⁻¹ = 4

4 · (½)²⁻¹ = 2

4 · (½)³⁻¹ = 1

4 + 2 + 1 = 7

4 0

3 years ago

16. How many different words can be formed with the letters of the word 'RAJARAM'? In how many of

Mandarinka [93]

Answer:

The word "ARRANGE" can be arranged in

2!×2!

7!

=

4

5040

=1260 ways.

For the two R's do occur together, let us make a group of R's taking from "ARRANGE" and permute them.

Then the number of ways =

2!

6!

=360.

The number ways to arrange "ARRANGE", where two "R's" will not occur together is =1260−360=900.

Also in the same way, the number of ways where two "A's" are together is 360.

The number of ways where two "A's" and two "R's" are together is 5!=120.

The number of ways where neither two "A's" nor two "R's" are together is =1260−(360+360)+120=660.

Step-by-step explanation:

<h2>PLEASE MARK ME BRAINLIEST AND FOLLOW ME LOTS OF LOVE FROM MY HEART'AND SOUL DARLING TEJASVINI SINHA HERE ❤️</h2>

7 0

3 years ago

Read 2 more answers

Write the standard form of the equation of the circle with radius 4 and center (−7,−6).

olasank [31]

The equation of a circle is written as (x-h)^2 +(y-k)^2 = r^2

h is the x value of the center and k is the y value of the center and r is the radius.

Replace h, k and r with the given information:

(x- -7)^2 + (y - -6)^2 = 4^2

Simplify:

(x+7)^2 + (y+6)^2 = 16

4 0

3 years ago

if a rug was 5 times as long as thia record sheet, how long would it be? measure the length of this record sheet in centimeters.

vlada-n [284]

Answer:

If a rug was 5 times as long as this record sheet. The length of this record sheet in centimeters is 100x centimeter

Solution:

Given that a rug was 5 times than the record sheet.

Let assume the length of the record sheet = x units

Then from given information,

Length of the rug = 5x units

Conversion of measure of record sheet in centimeter completely depends upon in which unit the length is given.

Suppose the given length is in meters, than need to multiply the given length by 100 to get the length in centimeter that is

x meter = $x \times 100$ = 100x cm

Conversion factor will change accordingly to the unit of given length which needs to be convert into centimeter.

4 0

3 years ago

Multiply 2x(x2 + 5). 2x3 + 10x2 2x3 + 10x 2x2 + 10x 2x3 + 5x

Alex_Xolod [135]

Hope this will help u....

6 0

4 years ago