MATHEMATICS COLLEGE

Find the 12th term in the sequence: 1/16, -1/8, 1/4

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

hello :

the sequence is geometric because : (1/4)/(-1/8) = (-1/8)/(1/16)=-2 = r

the nth term is : An =A1 × r^(n-1)

a common ratio is : r and A1 the first term

in this exercice : r =2 A1 = 1/16

when : n =12 you have the 12rd term A12

A12 = 1/16 × 2^(12-1) = 1/16 × 2^(11)

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What math are you in like th

WILL MARK BRAINEST NEED THE ANSWERS TO ALL FIVE QUESTIONS

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Answer:

For point A, it is 6/10 or 3/5 simplified, For point B, it is 7/10, for point C, it is 1 2/5, for Point D, it is 1 3/5, and for point E, it is 1 7/10

Find an equation of a line with the x- and y-intercepts below. Use exact fractions when necessary.x-intercept 7; y-intercept -5

Answers

Answer:

The line with the x- and y-intercepts below has the following equation:

$f(x) = (5x)/(7) - 5$

Step-by-step explanation:

The equation of the line has the following format:

$f(x) = ax + b$

We are given two points, we are going to substitute them into the above equation, and find the equation of the line given the conditions.

Solution

Starting from the y-intercept makes the solution easier, since the term a is multiplied by 0

y-intercept -5

This means that when $x = 0, y = f(x) = -5$ , so:

$f(x) = ax + b$

$-5 = a(0) + b$

$b = -5$

For now, the line has the following equation:

$f(x) = ax - 5$

x-intercept 7

This means that when $y = f(x) = 0,x = 7$ , so:

$f(x) = ax - 5$

$0 = 7(a) - 5$

$7a = 5$

$a = (5)/(7)$

So, the line with the x- and y-intercepts below has the following equation:

$f(x) = (5x)/(7) - 5$

A coin is flipped three times. James is declared the winner if there are at least two tails. Peter is declared the winner if there is a head flipped.a. How many different outcomes are there?
b. What is the probability that James wins?
c. What is the probability that Peter wins?
d. Is the game fair?
e. Are there any outcomes where the game would be tied?
f. Are there any outcomes where no one would win?

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A______is your answer

The ordered pairs in the table below represent a linear function. x y 6 2 9 8 What is the slope of the function? One-fourth One-half 2 4

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Answer:

The answer is C) 2

Step-by-step explanation: I hope you get this right also.

Answer:

Step-by-step explanation:

The organizers of a convention are drawing lots to pick the host city for the event. Nine city names are written on differentpieces of paper and placed in a bowl. The possible outcomes of drawing a name from the bowl are shown below.
Chicago
Seattle
Orlando
Dallas
Atlanta
Austin
Oakland
Phoenix
Cleveland
What is the probability that Cleveland or Dallas is picked?
OA.
OB.
OC.
DIN COIN
OD

Answers

The probability of Cleveland or Dallas getting picked is $(2)/(9)$ .

What is probability?

'Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.'

According to the given problem,

Total number of city names = 9

Favorable events = 2 [ Cleveland, Dallas]

Probability = $(Favorable events)/(Total number of events)$