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3 years ago

What is the 8th term of the sequence 6,18,54,....?

1 answer:

7 0

$r = \frac{18}{6} \\ 
r = 3 \\ 
 \\ 
 a_{n} = a_{1} * r^{n-1} \\ 
 a_{8} = 6 * 3^{8 - 1} \\ 
a_{8} = 6 * 3^{7} \\
a_{8} = 6 * 2187 \\
a_{8} = 13122 

$

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katovenus [111]

Answer:

30 degrees

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Answer the question bellow

Wittaler [7]

Answer:

The old version awards 50 more points for each level

Step-by-step explanation:

Function Modeling

Two models are being compared: The old model relates the total number of points awarded in a computer game (y) with the number of levels completed (x) as

$y=175x+150$

The new model is given as a graph. To find the equation of the line we must locate a couple of 'good' points. The graph is very clear, so we select the extreme points (1,250) (9,1250)

Find the equation of the line with the point-point formula

$\displaystyle y-250=\frac{1250-250}{9-1}(x-1)$

$\displaystyle y-250=\frac{1000}{8}(x-1)$

$y=250+125x-125$

$y=125x+125$

Comparing the new function with the old function we can note the coefficient of x (the slope of the line) is 50 points more in the old version than the points in the new version.

Thus the answer is

The old version awards 50 more points for each level

6 0

3 years ago

Find the Midpoint of (-6,4) and (-10,8) (if you could show your work thatd be great)

Neko [114]

Answer:

(-8,6)

Step-by-step explanation:

SOOO the x coordinate would be the average of the two coordinates or (-6-10)/2 or -16/2 or -8.

the same for the y

(4+8)/2 = 6

so the midpoint is (-8,6)

8 0

3 years ago

(c) Given that a respondent from age 12~50 is selected, what is the probability that the respondent believe email messages shoul

Ludmilka [50]

Question Completion:

Do people of different age groups differ in their response to email messages? A survey reported that 71.3% of users over 70 years of age believe that email messages should be answered quickly, as compared to 52.5% of users 12 to 50 years old. Suppose that the survey was based on 1, 000 users over 70 years of age and 1, 000 users 13 to 50 years old. The table summarizes the results.

Answers Emails Quickly

Age 12 - 50 Over 70 Total

Yes 525 713 1,238

No 475 287 762

Total 1,000 1,000 2,000

Given that a respondent from age 12 to 50 is selected, what is the probability that the respondent believes that email messages should be answered quickly?

Answer:

The probability that the respondent, aged 12 to 50, believes that email messages should be answered quickly is:

= 52.5%

Step-by-step explanation:

Data and Calculations:

Answers Emails Quickly

Age 12 - 50 Over 70 Total

Yes 525 713 1,238

No 475 287 762

Total 1,000 1,000 2,000

Aged 12 - 50:

Probability of answering emails quickly = Yes/Total = 525/1,000 * 100 = 52.5%

Probability of not answering emails quickly = No/Total = 475/1,000 * 100 = 47.5%

Aged over 70:

Probability of answering emails quickly = Yes/Total = 713/1,000 * 100 = 71.3%

Probability of not answering emails quickly = No/Total = 287/1,000 * 100 = 28.7%

b) The probability of an event happening (answering an email quickly by those aged 12 to 50) is the chance that this age group will respond to their emails quickly. It is computed as the number of times that this age group responds to emails quickly divided by their total response to emails. The quotient is then expressed as a percentage.

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3 years ago

Write a polynomial function in standard form with roots 6, 2, and -3.

loris [4]

Answer:

Step-by-step explanation:

f(x)=(x-6)(x-2)(x+3)

=(x-6)(x^2+x-6)

=x^3+x^2-6x-6x^2-6x+36

or f(x)=x^3-5x^2-12x+36

5 0

3 years ago