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andrew-mc [135]
3 years ago
12

If a=2^3 x 3^7 x 5^3 x 11^4 and b= 2^2 x 3^5 x 7^2 x 11 x 13 , find the following:

Mathematics
1 answer:
Natalka [10]3 years ago
5 0

Answer:

10,692

Step-by-step explanation:

GCF stands for Greatest Common Factor.  

The way to find it is easy once you have the prime decomposition.

Search for common factors in the decomposition and take the least power, then multiply them all.

So, in our case, as the numbers are already broken down into prime factors , we have

GFC(a,b)=2^2.3^5.11=10,692

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A truck can be rented from Company A for ​$100 a day plus ​$0.50 per mile. Company B charges ​$40 a day plus ​$0.80 per mile to
Rus_ich [418]

Answer:

18 miles

Step-by-step explanation:

<u>Let </u>

  • The number of miles = x .

<u>According</u><u> to</u><u> Question</u><u> </u><u>,</u>

  • 100 + 0.5(x) = 40 + 0.8(x)
  • 100 + 0.5x = 40+ 0.8x
  • 100 - 40 = 0.8x - 0.5x
  • 60 = 0.3x
  • x = 60/3 * 10
  • x = 18
7 0
2 years ago
You can answer the ones you want to. At least one.
Misha Larkins [42]

Answer:

Step-by-step explanation:

5a.) It starts with two at time one and increases by one each time

5b.) x+1

6.) Formula: (2/3)(x-1)+1, the fifth term would be (2/3)*(5-1)+1= 11/3

7a.) I will leave you to make the table. n+2 is wrong because it's increasing by 2 blocks each time

7b.) 2n+1

8a.) x²

8b.) just draw a 6x6

8c.) 12²=144

5 0
2 years ago
Solve for r. 60 = -24 + 12r​
neonofarm [45]

Answer:

r = 7

Step-by-step explanation:

60 = -24 + 12r​

<u>+24  +24</u>

84 = 12r

84 ÷ 12 = r

7 = r

Check:

60 = -24 + 12r

-24 + 12(7)

-24 + 84 = 60

3 0
3 years ago
Read 2 more answers
Suppose that IQ scores have a bell-shaped distribution with a mean of 95 and a standard deviation of 15. Using the empirical rul
professor190 [17]

Answer:

2.5% of IQ scores are no more than 65

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 95

Standard deviation = 15

Using the empirical rule, what percentage of IQ scores are no more than 65?

65 = 95 - 2*15

So 65 is two standard deviations below the mean.

By the Empirical Rule, 95% of the measures are within 2 standard deviation of the mean. Of those 5% which are not, 2.5% are more than 2 standard deviations above the mean and 2.5% are more than 2 standard deviations below the mean.

So 2.5% of IQ scores are no more than 65

3 0
2 years ago
Teresa is going for a run. she runs for 9.6 miles at a speed of 6 miles per hour. for how many hours does she run?
Lera25 [3.4K]
Speed=6 miles per hour
Distance =9.6 miles
Speed =distance /time
Time=distance/speed=9.6/6=1.6 hours
7 0
3 years ago
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