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zubka84 [21]
3 years ago
8

What is the 4th term in the sequence b(n)=1(-2)^n-1

Mathematics
1 answer:
marishachu [46]3 years ago
7 0

Answer:

<h2>The answer is 8</h2>

Step-by-step explanation:

From the question the formula for the sequence is

b(n) = 1 ({ - 2})^{n - 1}

where

n is the nth term in the sequence

Since we are finding the 4th term n = 4

Substitute this value of n into the above formula

That's

b(4) = 1 ({ - 2})^{4 - 1} \\  = 1 ({ - 2})^{3}  \\  =   { - 2}^{3}

We have the final answer as

<h3>8</h3>

Hope this helps you

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Sebastian went hiking near his house.The first trail he hiked on took him 4.5 miles away from his house. The second trail he hik
Sveta_85 [38]

Answer:

               <u>Sebastian is 3.8 miles away from his house.</u>

Step-by-step explanation:

4.5 - 2.4 + 1.7

2.1 + 1.7

= 3.8

- Sebastian is 3.8 miles away from his house.

4 0
3 years ago
Read 2 more answers
HELP WITH NUMBER 13 please
amid [387]

Answer: QE = 10

Step-by-step explanation: To solve this problem, it's important to understand that the diagonals of a parallelogram bisect each other.

This means that E is the midpoint of diagonal SQ.

So we can setup the equation x² + 9x = 4x + 6.

To solve this polynomial equation, set it equal to zero first.

So we have x² + 5x - 6 = 0 and we get (x + 6)(x - 1) = 0

when we factor the left side of the equation.

So this means that x = -6 or x = 1.

However, -6 will give us a negative length when we plug it in

to find QE so this will not work.

However, plugging 1 in will give us 10 as a length so QE = 10.

4 0
2 years ago
Ruby has a bird feeder which is visited by an average of 13 birds every 2 hours during daylight hours. What is the probability t
zalisa [80]

Answer:

62.93%

Step-by-step explanation:

We have to solve it by a Poisson distribution, where:

p (x = n) = e ^ (- l) * l ^ (x) / x!

Where he would come being the number of birds that there would be in 40 minutes, we know that in 2 hours, that is 120 minutes there are 13, therefore in 40 there would be:

l = 13 * 40/120

l = 4,333

Now, we have p (x> 3) and that is equal to:

p (x> 3) = 1 - p (x <= 3)

So, we calculate the probability from 0 to 3:

 p (x = 0) = 2.72 ^ (- 4.33) * 4.33 ^ (0) / 0! = 0.01313

p (x = 1) = 2.72 ^ (- 4.33) * 4.33 ^ (1) / 1! = 0.0568

p (x = 2) = 2.72 ^ (- 4.33) * 4.33 ^ (2) / 2! = 0.12310

p (x = 3) = 2.72 ^ (- 4.33) * 4.33 ^ (3) / 3! = 0.17767

If we add each one:

0.01313 + 0.0568 + 0.12310 + 0.17767 = 0.3707

replacing:

p (x> 3) = 1 - 0.3707

p (x> 3) = 0.6293

Which means that the probability is 62.93%

5 0
3 years ago
Find the area pf a trapezoid with a base of 26.7 ft , a height of 15.4 and top of 9.9 ft
evablogger [386]
Hello!

To find the area of the trapezoid, you use the formula A=1/2h(a+b), where a and b represent the two base lengths.

Since we already know the two bases and the height, we can just plug them into the equation to find the area.

A=1/2·15.4(26.7+9.9)
A=1/2·15.4(36.6)
A=1/2·563.64
A=281.82

The area is 281.82 ft².

I hope this helps!
8 0
3 years ago
Jake wants to know if his basketball team has gotten better. Last season, Jake's team won 10 out of 20 games. This season, his t
kifflom [539]

Answer:

This season

Step-by-step explanation:

Lowest Common Multiple (LCM) of 20 and 25 = 100

10/20 * 5/5 = 50/100 = 5/10

15/25 * 4/4 = 60/100 = 6/10

5/10 < 6/10

7 0
2 years ago
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