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AysviL [449]
3 years ago
15

Find the highest common factor using prime factorization for 27y and 54y³​

Mathematics
1 answer:
amid [387]3 years ago
5 0

Given:

27y and 54y³

​To find:

The highest common factor (HCF) using prime factorization.

Solution:

We have,

27y and 54y³

Using the prime factorization, we get

27y=3\cdot 3\cdot 3\cdot y

54y^3=2\cdot 3\cdot 3\cdot 3\cdot y\cdot y\cdot y

Now, the common prime factors are 3, 3, 3 and y. So,

HCF=3\cdot 3\cdot 3\cdot y

HCF=27y

Therefore, the highest common factor of the given terms is 27y.

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Suppose each runner ran at the rate given in the table above for 3.1 miles. How much time will elapse between the first place fi
Scilla [17]
You didn't include the table but I found this table for the same statement, so I will answer you based on the next table:

Runner         distance           time

Arabella        7,299 feet        561 seconds
Bettina          3,425 yards     13 minutes, 12 seconds
Chandra       8,214 feet        0,195 hours
Divya            1,62 miles        732 seconds

To answer the question you must find the rate for each runner and then calculate the time to run 3.1 miles at each rate.

First you need to convert the data to obtain the rate in miles per second.

These are the main conversion identities:

1 mile = 5280 feet

1 mile = 1760 yards

1 hour = 3600 seconds

1 hour = 60 minutes

1 minute = 60 seconds

Arabella:

rate: 7,229 feet / 561 seconds * (1 mile / 5280 feet)  =

= 0.00244 mile/second

Time to run 3.1 miles: V = d / t => t = d / V = 3.1 miles / 0.00244 mile/second = 1270 seconds

Bettina:

13 minutes + 12 seconds = 13*60 seconds +12 seconds = 792 seconds

rate = 3425 yards / 792 seconds * 1 mile / 1760 yards = 0.00246 mile/seconds

Time to run 3.1 miles = 3.1 miles / 0.00246 mile/second = 1260 seconds

Chandra:

rate = 8214 feet / 0.195 hours * 1 mile / 5280 feet * 1hour / 3600 seconds =

= 0.00222 seconds

Time = 3.1 mile / 0.00222 seconds = 0.389 hour = 1396 seconds

Divya:

rate = 1.62 miles / 732 seconds = 0.00221 seconds

Time = 3.1 mile / 0.00221 seconds = 1403 seconds

Now you can find the difference between fhe last and the first 1403 seconds - 1260 seconds = 143 seconds

That is equivalent to 2.38 seconds.
6 0
3 years ago
HELP! THIS IS DUE TODAY, and i will mark brainlest!
horrorfan [7]

Answer:

yes...

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the area of a regular hexagon with a base of 15 and an apothem of 20.
seraphim [82]
Area of hexagon = base * (apothem/2) * 6 = 3(base*apothem)
=3*15*20
=900 square units.

However, a hexagon consists of 6 equilateral triangles in which the apothem is 0.866 times the base, meaning that the apothem is shorter than the base.
Perhaps the base is 20 and apothem 15.  The answer will come to be the same though.
7 0
4 years ago
What is the range of this exponential function? <br> f(x) = 2.7x
Anton [14]

The range of the exponential function f(x) = 2.7ˣ will be from zero to infinity that is (0, ∞).

<h3>What are domain and range?</h3>

The domain means all the possible values of x and the range means all the possible values of y.

The exponential function is given below.

f(x) = 2.7ˣ

We know the value of the exponential function is always positive.

Then the range of the exponential function f(x) = 2.7ˣ will be from zero to infinity that is (0, ∞).

More about the domain and range link is given below.

brainly.com/question/12208715

#SPJ1

7 0
2 years ago
8.2 + x /2 x=6.2
Georgia [21]
X = 2i, -2i (I’m sorry if it does come back as wrong but it’s the only answer I got)
5 0
3 years ago
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