What is the percent of change from 4 to 1?

Answers

Answer 1

Answer:

Answer:

1 is 25% of 4, so 75% decrease

Step-by-step explanation:

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The population of a local species of dragonfly can be found using an infinite geometric series where a1 = 42 and the common ratio is three fourths. Write the sum in sigma notation and calculate the sum that will be the upper limit of this population.

Answers

Answer:

The sum in sigma form is $\sum_(i=1)^(\infty)42((3)/(4))^(i)$

The upper limit of the population is 168.

Step-by-step explanation:

We are given that,

Population of dragonfly is represented by the series with,

First term, $a_(1)=42$

Common ratio, $r=(3)/(4)$

So, we see that,

The sum in sigma form is given by $\sum_(i=1)^(\infty)a_(1)r^(i)$

That is, $\sum_(i=1)^(\infty)42((3)/(4))^(i)$

Now, the infinite sum of the series is $S=(a_1)/(1-r)$

So, the sum is $S=(42)/(1-(3)/(4))$

i.e. $S=(42* 4)/(4-3)$

i.e. $S=(168)/(1)$

Thus, the upper limit of the population is 168.

Hello,

$\lim_(n \to \infty) \sum_(i=0)^(i=n) a_1*((3)/(4))^i =42*4=168$

Identify the range of the function. A) (2, 8) B) [2, 8] C) (−5, 9) D) [−5, 9]

Answers

Answer:

The answer is "Option A"

Step-by-step explanation:

The domain is the collection of the value, which belongs to the separate variable (horizontal axis). So, to find a region with a graph, it must search for the function, which starts and end. And at all these levels we are searching at x-values.

Its starting point is (2,9) and the ending point is (8,3). Therefore, x= 2 to x=8 is the domain.

12, 6, 7, 11, 11, 9, 13, 16, 10. What is the interquartile range of the data set?

Answers

first put the numbers in order
6,7,9,10,11,11,12,13,16

Q1 = (7 + 9) / 2 = 16/2 = 8
Q2 (median) = 11
Q3 = (12 + 13) / 2 = 25/2 = 12.50

Interquartile range (IQR) = Q3 - Q1 = 12.50 - 8.00 = 4.5

John is a new employee at International Widget. Having studied human relations, he's eager to understand the supervisory style employed by his immediate supervisor. Which of the following is not especially important to John's insight?a. His supervisor's flexibility on work guidelines
b. Whether his supervisor enjoys particular sports or hobbies
c. The extent to which he (John) is expected to work independently
d. Whether his supervisor is more concerned about short-term or long-term work goals

Answers

The correct option is B. In order for John to understand the supervisory style employed by his immediate supervisor, he does not needs to know the type of sport that his supervisor enjoys, for that particular information is not related to how the supervisor expects John to handle office work. The other statements are John's job related and they are good means of getting insight into the supervisory style of a supervisor.

Does the following system have a unique solution? Why?

3x+2y= 9
14x + 10y = 14

Answers

Yes, the determinant of the coefficient matrix is 2.

Solve: 3x + 1 = 3

With working out

Answers

$3x + 1 = 3 \n \n3x + 1-1 = 3 -1\n \n 3x = 2 \n \n (3x)/(3) = (2)/(3) \n \n x = (2)/(3)$

$3x+1 =3 \n \n 3x =3 -1 \n \n 3x =2 \n \n \n (3x)/(3) = (2)/(3) \n \n x = (2)/(3) \n \n \framebox[1.1\width]{Good Luck!} \par$

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