Write an explicit formula for the sequence 10,9.5,9,8.5,8 then find a8

Answers

Answer 1
Answer: an=a1+d(n-1)
a1=first term
d=common differnce
n=which term

minusing 0.5 each time
first term is 10

an=10-0.5(n-1)
8th term
a8=10-0.5(8-1)
a8=10-0.5(7)
a8=10-3.5
a8=6.5

the 8th term or a8 is 6.5
Answer 2
Answer: a_(n) = a_(1) + (n-1)d
a_8 = 10 + (8-1)(-0.5) a_8 = 10 + (7)(-0.5) a_8 = 10 + -3.5 a_8 = 6.5

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If A = (0, 0) and B = (6, 3), what is the length of ? A.7.73 units B.6.24 units C.5.20 units D.6.71 units
The line is parallel to y= 2x + 1 and passes through point (-2,-1).
N entry level technical writer's annual pay is $55,068 based on 52 weeks per year. Due to the economy, his company is having to cut back on the number of weeks that it employs its technical writers. If the firm cuts the work year to 51 weeks but keeps the same rate of pay, how much should the technical writer expect his annual pay to decrease? Round your answer to the nearest dollar.

If you choose an answer to this question at random, what is the chance that you will be correct? A) 25%
B) 50%
C) 60%
D) 25%

Answers

Since there are four options and only one can be correct, the chance of randomly selecting the correct answer is 1 out of 4, which is 25%.

So, the correct answer is:

A) 25%

If we assume that the answer choices are mutually exclusive and that one of the choices must be correct, then the probability of randomly selecting the correct answer is simply the inverse of the total number of choices.

In this case, there are four answer choices (A, B, C, and D).

Therefore, the chance of randomly selecting the correct answer is 1 out of 4, which can be expressed as 1/4 or 25%.

It's worth noting that this is a classic "trick" question since two of the answer choices are the same (both A and D are 25%).

In a properly constructed multiple-choice question, each answer choice should be distinct and non-repetitive.

So, the correct answer is A) 25%.

Learn more about probability click;

brainly.com/question/32117953

#SPJ4

Hello, there!


There are 4 answers.

This adds up to a 100% chance that you will choose an answer.

Now, we must divide this 100% by 4.

100% / 4 = 25%

This means that:

The odds of you choosing an incorrect answer (3 of them are incorrect) is 75%.

The odds of you choosing a correct answer (one of them is correct) is 25%.

Therefore, your answer is 25%

The answer is D.

(If you had guessed randomly, there would have been a 25% of you choosing D.)


I hope I helped!

Let me know if you need anything else!

~ Zoe

3. Given the following functions f(x) and g(x), solve f[g(7)] and select the correct answer below:f(x) = 4x + 21

g(x) = 2x + 2

16
49
85
784

Answers

The value of the required function f[g(7)] is 85.

What is a function?

A function is a relation between the input and the output of a system.

Given functions are:

f(x)= 4x + 21\ng(x)=2x+2

Therefore, the required function:

f(g(x))\n= 4g(x)+21\n= 4(2x+2)+21\n= 8x+8+21\n= 8x+29

Now,

f[g(7)]\n= 8(7)+29\n= 56+29\n= 85

Learn more about a function here: brainly.com/question/12854410

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Hello,
f(g(x))=f(2x+2)=4(2x+2)+21=8x+29
f(g(7))=8*7+29=56+29=85

On field trips, there must be 2 chaperones for every 15 students. Which ratio correctly expresses the ratio of students to chaperones? 2:15 15:17 17:15 15:2

Answers

15 students to 2 chaperones is expressed by the student to chaperone ratio
  15 : 2

Answer:

D

Step-by-step explanation:

Good luck!

She left her home in Kansas City at 5am. She arrived at the beach at 6pm. How long did it take Ms. W to travel to her destination?

Answers

Answer:To determine how long it took Ms. W to travel to her destination, we need to calculate the time difference between her departure and arrival times.

1) Departure time:

Ms. W left her home in Kansas City at 5am.

2) Arrival time:

Ms. W arrived at the beach at 6pm.

3) Time difference:

To calculate the time it took for Ms. W to travel, we need to find the difference between the departure and arrival times.

The time difference between 5am and 6pm is 13 hours. This includes the 12 hours from 5am to 5pm, and an additional hour from 5pm to 6pm.

Therefore, it took Ms. W 13 hours to travel from her home in Kansas City to the beach.

Step-by-step explanation:

Hope This Helps

Answer:

Step-by-step explanation:

13 hours

Rewrite the equation by completing the square.
4x2 + 28x + 49 = 0
(x+) =

Answers

Answer: x = - 3.5

Step-by-step explanation:

Rewrite the equation by completing the square.

4x2 + 28x + 49 = 0

Completing the square method :

Divide through by the Coefficient of x^2

x^2 + 7x + (49/4) = 0

a = 1, b = 7, c = 49/4

Move c to the right side of the equation

x^2 + 7x = - 49/4

Complete the square on the left hand side by squaring its half of the x term

(7/2)^2 = (49/4)

Add the output to both sides of the equation

x^2 + 7x + (49/4) = - (49/4) + (49/4)

(x + 7/2)^2 = 0

Square root of both sides

x + 7/2 = 0

x = - 7/2

x = - 3.5

Answer:

x = - 3.5

Step-by-step explanation:

Segment CD is given with vertices C(a,b) and D(2a,b). Find the length of segment C'D', the image of segment CD after a dilation with a scale factor of 2.

Answers

the dilation is a scale factor of 2, that is:

C'D' = 2(CD)

the length of CD is given by:
CD = √( (a - 2a)^2 + (b - b)^2 )

CD = √(a^2) = a

hence the new segment is 2a long.