Someone please help.Describe the pattern that is being followed:
2, 4, 16, 256 . . .

What is the next number in the sequence?

Answers

Answer 1

Answer: The next number is 65536. The pattern is multiplying by itself to get the next number. So 2x2=4 4x4=16 and so on.

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Dave can paint the office by himself in 4 hours. Working with an associate, he can paint theoffice in 3 hours. How long would it take his associate to do it working alone?

Answers

Answer:

It would take 12 hours for his associate to do the complete work alone.

Step-by-step explanation:

Let 'x' be the hours taken by his associate working alone.

Given:

Time to paint the office by Dave is 4 hours.

Time to paint the office together is 3 hours.

Therefore, the part of work completed by Dave alone in 1 hour is $(1)/(4)$

Part of work completed by an associate in 1 hour is $(1)/(x)$

Now part of work completed by both in 1 hour is $(1)/(3)$

Therefore,

$(1)/(4)+(1)/(x)=(1)/(3)\n\n(1)/(x)=(1)/(3)-(1)/(4)\n\n(1)/(x)=(4-3)/(12)\n\n(1)/(x)=(1)/(12)\n\nx=12\ h$

Therefore, it would take 12 hours for his associate to do the complete work alone.

Kevin is going to purchase sod for his backyard. How many square feet will Kevin need?

Answers

multiply 10 times 25 witch is 250. Then multiply 10 times 20 witch is 200, and last add them 200+250=450 that is you answer!

He will need 450 square feet of sod

Consider the sequence below.-4, -1, 2, 5, . . .

What is the 10th term of the sequence?

Answers

Answer: 23

Explanation: First of all, let's make sure we have an arithmetic sequence. An arithmetic sequence is a sequence that has a common difference which is the number repeatedly added or subtracted to reach the next term.

To get from -4 to -1, we're adding 3.

To get from -1 to 2, we're adding 3.

To get from 2 to 5, we're adding 3.

So we know that this is an arithmetic sequence because it has a common difference or the number that is repeatedly added which is 3.

Now, we want to determine the 10th term in this sequence.

There are 2 ways that you can determine the 10th term. You can keep on adding 3 until you get to the 10th term or you can use the explicit formula. I will show you the explicit formula which is shown below.

$^(a)n = ^(a)1(n - 1)d$

Now we want to determine what the 10th term is so we're trying to determine $^(a)10$ . Now, we know what $^(a)1$ is because it's our first term or -4. Now, n will be the number of terms we're solving for or 10. Lastly, we have the d which represents the common difference which is 3.