Solve the equation. f/29 = 28 f =

Find the sum of the following infinite geometric series, if it exists. 2 + 6 + 18 + 54 +… Does not exist 23,567 25,982 29,034

Sladkaya [172]

Option A: The sum for the infinite geometric series does not exist

Explanation:

The given series is $2+6+18+54+.......$

We need to determine the sum for the infinite geometric series.

Common ratio:

The common difference for the given infinite series is given by

$r=\frac{6}{2}=3$

Thus, the common difference is $r=3$

Sum of the infinite series:

The sum of the infinite series can be determined using the formula,

$S_{\infty}=\frac{a}{1-r}$ where $0$

Since, the value of r is 3 and the value of r does not lie in the limit $0$

Hence, the sum for the given infinite geometric series does not exist.

Therefore, Option A is the correct answer.

8 0

3 years ago

Wirte a decimal for each of the following 9x100+2x10+3x0.1+7x0.001

borishaifa [10]

We need to perform multiplication and addition property for this problem to represent the final result in decimal form. So, the expression is,

9x100+2x10+3x0.1+7x0.001 .

Now 9 x 100= 900

2 x= 10= 20

3x0.1= 0.3

7x 0.001=0.007

Now we can all the numbers. Hence,

900+20+0.3+0.007=920.307

So, the decimal number is 930.307.

4 0

3 years ago

(Question 2 : Select the best answer for the question.)

iris [78.8K]

Answer:

B is the answer i think

Step-by-step explanation:

because its lenear and positive...

5 0

3 years ago

Shona spins a spinner with three equal-sized spaces—red, green, and yellow—and then rolls a six-sided die numbered from 1 to 6.

telo118 [61]

<h2>Answer with explanation:</h2>

Sample size--

It is the collections of all the possible outcomes of an event.

(A)

It is given that:

Shona spins a spinner with three equal-sized spaces—red, green, and yellow and then rolls a six-sided die numbered from 1 to 6.

This means that the possible outcomes are given as follows:

(Red,1) (Green,1) (Yellow,1)

(Red,2) (Green,2) (Yellow,2)

(Red,3) (Green,3) (Yellow,3)

(Red,4) (Green,4) (Yellow,4)

(Red,5) (Green,5) (Yellow,5)

(Red,6) (Green,6) (Yellow,6)

This means that the total number of outcomes are: 18

Hence, the sample size for this compound event is: 18

(B)

If the spinner has four colored spaces.

Let the fourth color be: Blue

Then the possible outcomes are given by:

(Red,1) (Green,1) (Yellow,1) (Blue,1)

(Red,2) (Green,2) (Yellow,2) (Blue,2)

(Red,3) (Green,3) (Yellow,3) (Blue,3)

(Red,4) (Green,4) (Yellow,4) (Blue,4)

(Red,5) (Green,5) (Yellow,5) (Blue,5)

(Red,6) (Green,6) (Yellow,6) (Blue,6)

Hence, the total number of outcomes are: 24

The sample size of this compound event would be 24.

8 0

3 years ago

The teacher asked 4 students to measure 4 different objects. Here are the results

posledela

Answer:

Student 3 had the greatest percentage error.

Step-by-step explanation:

Student 1

Actual length = 50in

Measured length = 49in

Error = 50 - 49 = 1

Error% = 1/50 × 100

= 1 × 2

= 2%

Student 2

Actual length = 100cm

Measured length = 110cm

Error = 100 - 110 = 10

Error% = 10/100 × 100

= 10 × 1

= 10%

Student 3

Actual length = 2cm

Measured length = 2.5cm

Error = 2 - 2.5 = 0.5

Error% = 0.5/2 × 100

= 0.5 × 50

= 25%

Student 4

Actual length = 10ft

Measured length = 9½ft

Error = 10 - 9½ = ½

Error% = ½/10 × 100

= ½ × 10

= 1 × 5

= 5%

#teamtrees#WAP

7 0

3 years ago