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const2013 [10]
3 years ago
13

Find the 12th term of the geometric sequence 9, 27, 81...

Mathematics
1 answer:
stellarik [79]3 years ago
4 0

Answer:

1594323

Step-by-step explanation:

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Jerry is a judge. he hears 5 cases every 2 3/8 hours how many cases does he haer per hour
vampirchik [111]

Answer:

2 2/19

Step-by-step explanation:

5 cases in 2 3/8 hours

The unit rate of cases per hour is calculated by dividing the number of cases by the number of hours.

5/(2 3/8) = 5/(19/8) = 5 * 8/19 = 40/19 = 2 2/19

7 0
3 years ago
Read 2 more answers
How many 4 digit numbers consisting of only the digits 2,4,6 and 8 are divisible by 4
Blababa [14]

Answer:

  • digits used once: 12
  • repeated digits: 128

Step-by-step explanation:

In order for a number to be divisible by 4, its last two digits must be divisible by 4. This will be the case if either of these conditions holds:

  • the ones digit is an even multiple of 2, and the tens digit is even
  • the ones digit is an odd multiple of 2, and the tens digit is odd.

We must count the ways these conditions can be met with the given digits.

__

Since we only have even numbers to work with, the ones digit must be an even multiple of 2: 4 or 8. (The tens digit cannot be odd.) The digits 4 and 8 comprise half of the available digits, so half of all possible numbers made from these digits will be divisible by 4.

<h3>digits used once</h3>

If the numbers must use each digit exactly once, there will be 4! = 24 of them. 24/2 = 12 of these 4-digit numbers will be divisible by 4.

<h3>repeated digits</h3>

Each of the four digits can have any of four values, so there will be 4^4 = 256 possible 4-digit numbers. Of these, 256/2 = 128 will be divisible by 4.

7 0
2 years ago
Read 2 more answers
A construction crew is extending the length of the center line on a highway. The length of the line starts out as 6 meters long,
baherus [9]
Gradient of line,m=(17-6)/(20-0)=11/20

finding equation of line using a point (20,17)

y-17=11/20(x-20)
y-17=(11/20x)-11
y=11/20x+(17-11)
y=(11/20)*x+6
4 0
3 years ago
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Simplify the expression.<br> 9a2b4<br> 3a3b3
Naddik [55]

Answer:

9

a

2

b

4

3

a

3

b

3

Step-by-step explanation:

8 0
3 years ago
Jack’s favorite sports drink comes in a 20-ounce bottle. the manufacturer of the sports drink requires a tolerance of 0.4 ounce.
Scrat [10]

Answer:

Answer:

Step-by-step explanation:

The manufacturer requires that the weight differs from 20 oz in at most 0.4 oz, therefore we can write this difference (which can be either above or below 20 oz, to be smaller than or equal to 0.4 oz.

The weight can be:

1) smaller than or equal to 20 oz + 0.4 oz:    then  

2) larger than or equal to 20 oz - 0.4 oz:    then  

and which combined, can be written as a double inequality;

This double condition can also be written using the absolute value symbol as:  

Step-by-step explanation:

4 0
3 years ago
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