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3 years ago

(4 points) A bit string is a sequence of 0s and 1s.How many bit strings of length 12 either start with 0000 or end with 1111

Mathematics

1 answer:

marta [7]3 years ago

8 0

Answer:

The answer is "496"

Step-by-step explanation:

It begins at 0000 or finishes at 1111:

$= 2^8 + 2^8 - 2^4\\\\= 256 +256 -16\\\\= 512 - 16 \\\\= 496$

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6. A super-bouncy-ball is thrown 25m into the air. The ball falls, rebounds to 70% of the height of the previous bounce and fall

inn [45]

Answer:

The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient of consecutive terms is the same. The nth term of a geometric sequence is given by:

$a_n = a_1q^{n-1}$

In which $a_1$ is the first term and $q$ is the common ratio.

A super-bouncy-ball is thrown 25m into the air. The ball falls, rebounds to 70% of the height of the previous bounce and falls again.

This means that:

$q = 0.7, a_1 = 25*0.7 = 17.5$

Then

$a_n = a_1q^{n-1}$

$a_n = 17.5(0.7)^{n-1}$

First 5 terms:

$a_1 = 17.5$

$a_2 = 17.5(0.7)^{2-1} = 12.25$

$a_3 = 17.5(0.7)^{3-1} = 8.58$

$a_4 = 17.5(0.7)^{4-1} = 6$

$a_5 = 17.5(0.7)^{5-1} = 4.2$

Find the total distance the ball has travelled after it hits the ground the 5th time.

$T = 17.5 + 12.25 + 8.58 + 6 + 4.2 = 48.53$

The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.

8 0

3 years ago

a can of juice contains 175 calories per 2.5 servings which of the following is not an equivalent number of calories per serving

seropon [69]

70 calories Cal. =175=X serv.=2.5 =1 Divide 175 by 2.5 and X =70 calories per serving

4 0

2 years ago

How many ways can you get to the end, only being able to go down or left, and having to avoid the green thing?

kirill [66]

I got 21, I give up.

6 0

2 years ago

Use the compound interest formula to compute the total amount accumulated and the interest eamed.

RideAnS [48]

Answer:

$12,137.39

Step-by-step explanation:

Use the Compound Amount formula:

A = P (1 + r/n)^(nt), where r is the interest rate as a decimal fraction, n is the number of times the interest is compounded each year, and t is the number of years.

Here, A = $9000(1 + 0.075/12)^(12*4), or

= $9000(1.3486) = $12,137.39

7 0

2 years ago

11. You pay $24.50 for 10 gallons of gasoline and one

Cloud [144]

Ummm this confuses me a bit

6 0

3 years ago