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3 years ago

Evaluate the limit and express your answer in simplest form tar 5/4 4/5 2/3 2/5

Mathematics

1 answer:

muminat3 years ago

5 0

Answer: how do we have the same question need the answer too

Step-by-step explanation:

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If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. Find the first term and the 20th term.

Reil [10]

The first term is 2 and the 20th term is 1048576 .

Step-by-step explanation:

Here we have , If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. We need to Find the first term and the 20th term. Let's find out:

We know that Sum of a GP is :

⇒ $S_n = \frac{a(r^n-1)}{r-1}$

So ,Sum of first 12 terms is :

⇒ $S_1_2 = \frac{a(2^{12}-1)}{2-1}$

⇒ $8190=a(2^{12}-1)$

⇒ $\frac{8190}{4095}=a$

⇒ $a=2$

Now , nth term of a GP is

⇒ $a_n = ar^{n-1}$

So , 20th term is :

⇒ $a_2_0 = 2(2)^{20-1}$

⇒ $a_2_0 = (2)^{20}$

⇒ $a_2_0 = 1048576$

Therefore , the first term is 2 and the 20th term is 1048576 .

8 0

3 years ago

You have a mouse infestiation in your house! You saw 4 mice the first day and the number triples each day. How many mice are the

vitfil [10]

Answer:

16 mice because 4*4=16 or 4+4+4+4=16

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Please i need your help

Softa [21]

Answer:

x is 11

Step-by-step explanation:

${ \tt{10 + 5 + x = 26}} \\ x = 11$

6 0

3 years ago

Find the perimeter of the track. Make sure to include units. 15 yards 25 yards

ahrayia [7]

Answer:

Assuming that it's a rectangular track and the units are 15x25 yards, the perimeter is 80 yards.

Explanation:

Remember to find the perimeter of a non-circular shape you just add up all of the side lengths together. In this case, I believe it's a 15x25 yard rectangle, so you ad 15 + 15 + 25 + 25 to get a total of 80 yards.

7 0

3 years ago

Is the mean height for all adult American males between the ages of 18 and 21 now over 6 feet? Let Î¼ represent the population m

SIZIF [17.4K]

Answer:

A. H0: Î¼ = 6 vs. Ha: Î¼ > 6

H0 : µ = 6 vs. Ha : µ > 6

Step-by-step explanation:

Null hypotheses state that there is no difference between a parameter and a specific value.

Alternative hypotheses states a specific difference between a parameter and a specific value.

Null hypotheses is represented as H0

Alternative hypotheses is represented as Ha.

From the question,

The claim is this "Is the mean height for all adult American males between the ages of 18 and 21 now over 6 feet?" The claimed statement represent the Alternative hypotheses.

So, the alternative hypotheses is:

Ha: Î¼ > 6

While the null hypotheses is:

H0: Î¼ = 6

7 0

3 years ago