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3 years ago

Consider the geometric sequence 16, 8, a, 2, b, ... (a) Write down the common

Mathematics

1 answer:

Artist 52 [7]3 years ago

3 0

Find the common ratio by dividing.

16 / 8 = 2

8 / a = 2

2 / b = 2

The common ratio is 2.

Since we need to find the values of a and b, use the common ratio to solve for them.

8 / 2 = 4 (a)

2 / 2 = 1 (b)

Now, we know that first 5 terms.

We can solve for the 8th term using the previous terms and the common ratio.

6th term: 1 / 2 = 0.5

7th term: 0.5 / 2 = 0.25

8th term: 0.25 / 2 = 0.125

Part A: 2

Part B: a = 4, b = 1

Part C: 0.125

Best of Luck!

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Alexxandr [17]

Answer:

0.77

Step-by-step explanation:

From the information given:

The breakdown time (a)= 3 hours

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Average flow time in the system (W) = 2.305 hours

For the entire system;

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3 years ago

Someone give me the answer

Butoxors [25]

a function that model the number of people that receives email in week t is $P(t)=37(4)^{\frac{t}{9.1}}$ .

Step-by-step explanation:

Here we have , Tobias sent a chain letter to his friends . The number of people who receives the email increases by a factor of 4 in every 9.1 weeks , and can be modeled by a function P, which depends on the amount of time t weeks . Tobias initially sent letter to 37 friends . We need to write a function that model the number of people that receives email in week t . Let's find out:

Basically it's an exponential function as

$f(x) = e^{ax}$ , In question initial value is 37 & and for every 9.1 weeks there is increase in people by a factor of 4 i.e.

⇒ $P(t)=37(4)^t$

But , wait ! People increase in every 9.1 weeks not every week so modified equation will be :

⇒ $P(t)=37(4)^{\frac{t}{9.1}}$

Therefore , a function that model the number of people that receives email in week t is $P(t)=37(4)^{\frac{t}{9.1}}$ .

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3 years ago

Simplify 0.75 (5v+11)-0.25 (11+v)

wariber [46]

2 • (7v + 11) over 4 is your answer :)

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3 years ago

1.6 liters of drink were equally distributed into 20 cups how many liters of drink would be in each cup

zimovet [89]

Answer:

0.08

Step-by-step explanation:

1.6 liters of the drink was distributed in 20 cups

The litres of drink in each cup can be calculated as follows

= 1.6/20

= 0.08

Hence 0.08 liters of drink would be in each cup

6 0

3 years ago

dion flips a coin 20 times and records if it comes up heads. if getting heads is a success, what is the probability of a success

kolbaska11 [484]

Answer:

$\frac{1}{2}$

Step-by-step explanation:

The probability of success (getting heads) on one roll DOESNT affect other rolls, so we need to find probability of getting a head in a roll.

Probability is defined as the number of favorable outcomes divided by the total number of outcomes.

Here, favorable outcome is getting a head. So, on one roll, getting a head is 1. Also, the total number of outcomes is either a head or a tail. So total number of outcomes is 2.

Thus,

P(Heads) = 1/2

3 0

3 years ago