All categories

2 years ago

Find the 6th term of the arithmetic sequence -4, 0, 4, 8,

Mathematics

2 answers:

bezimeni [28]2 years ago

4 0

Answer:

Step-by-step explanation:

-4,0,4,8,12,16

Nastasia [14]2 years ago

3 0

A. because the arithmetic sequence increases by 4 and if u keep adding 4 till the 6th term, u will get 16.

4n-8

N being the Nth term

You might be interested in

A marketing representative wants to estimate the proportion of people in a state who like the new design on the packaging of a c

Effectus [21]

Answer:

The correct option is;

(B) Yes, because sampling distributions of population proportions are modeled with a normal model.

Step-by-step explanation:

Here we have the condition for normality being that where we have a population with a given mean and standard deviation, while a sufficiently large sample is drawn from the population while being replaced, the distribution of the sample mean p will be distributed normally according to central limit theorem.

8 0

2 years ago

For which values of k does the system of linear equations have zero, one, or an infinite number of solutions? [Note: not all thr

anastassius [24]

Answer:

For k = 36, there is 0 solutions

For other values of k, there is 1

We never got infinite solutions on the system.

Step-by-step explanation:

We have 2 unknowns and 2 equations:

E1 8x1 + x2 = 18

E2 k*22 x1 + 9 x2 = 18

If we multiply the E1 by 9 we obtain

E3 72 x1 + 9x2 = 162

if we substract E3 with E2 we obtain

(72- 2k) x1 = 144

Thus,

x1 = 144/ (72-2k)

That is, if 72-2k = 0, otherwise there is no solution. And 72-2k = 0 when k = 72/2 = 36.

If k is not 36, then

x1 = 144/(72-2k) and we can replace this value to obtain x2 by using E1

x2 = 18-8x1 = 18- 8 * (144/72-2k)

Which is a specific number that depends only on k. Thus,

for k = 36, there is 0 solutions

for other values of k, there is unique solution.

4 0

2 years ago

A frequent flyer was interested in the relationship between dollars spent on flying and the distance flown. She sampled 20 frequ

marshall27 [118]

Answer:

c) 44000 miles

Step-by-step explanation:

The regression line has the following format:

$y = bx + a$

In which b is the slope(how much each mile costs) and a is the fixed number of miles flown.

In this problem, we have that:

$a = 24000, b = 10$ . So

$y = 10x + 24000$

A person who spent $ 2000 is predicted to have flown:

This is y when x = 2000.

$y = 10(2000) + 24000$

$y = 44000$

So the correct answer is:

c) 44000 miles

6 0

2 years ago

A plane is flying at 1000 meters above the ground and fires a laser 60 degrees of of straight down. what is the distance the lig

juin [17]

Answer:

Step-by-step explanation:

The distance the light traveled to the ground is the range of the plane expressed as:

R = U*√2H/g

U is he velocity

H is the max height

g is the acc. due to gravity

Let us get U first using the formula

H = u²sin²Ф/2g

1000 = u²sin²60/2(9.81)

1000*19.62 = 0.8660u²

19620 = 0.8660u²

u² = 19620/0.8660

u² = 22655.88

u = √22655.88

u = 150.52m/s

Next is to get the range

R = 150.52√2(1000)/9.81

R = 150.52 √2000/9.81

R = 150.52√203.87

R = 150.52*14.28

R = 2149.16m

Hence the distance the light traveled to the ground is 2,149.16m

5 0

2 years ago

Jessica is 5 years older than her sister Jenna. Jenna tells her sister that in 5 years, she will be as old as Jessica was 5 year

Mamont248 [21]

Answer: equations 1,3,4 and 5 stated has solutions.

Step-by-step explanation:

From the question, (x + 5) + 5 = (x + 5) + 5

The equations that represent the situation are:

1. x + 5 = (5 − x) − 5 :which has one solution

2. x + 5 = (x + 5) − 5 : many solutions

3. x + 5 = (x + 5) − 5: no solution

4. x + 5 = (5 − x) − 5 : many solutions

5. (x + 5) + 5 = (x + 5) + 5: many solutions

Equation 2 has no solution. While the other equations have one and more than one solutions.

6 0

2 years ago