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natita [175]
3 years ago
5

Find the HCF of 27, 63, 54 using prime factorization method.

Mathematics
1 answer:
Step2247 [10]3 years ago
7 0

Answer:

27 = 3 , 3, 3

63= 3 , 3, 7

54= 3 , 3, 3, 2

HCF OF 27, 63 AND 54 = 3 X 3 = 9

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An ant population starts at 1200 for a certain colony. As each month goes by in the winter, 6.5% of the population dies off. How
Nitella [24]

Answer:

There will be 916 ants alive after 4 months.

Step-by-step explanation:

Step 1

Let's change the percentage to a decimal by dividing by a 100.

6.5% / 100 = .065

Step 2

So, for the first month we will multiply the initial amount of ants by .065 and this will give us the number of ants that die.

1200 * .065 = 78

This means that after the first month, 1200 - 78 = 1122 ants will be alive.

Step 3

Now for the second month: 1122 * .065 = 72.93 (rounded to 73)

1122 - 73 = 1049 ants will be alive

Step 4

For the third month 1049 * .065 = 68.185 (rounded to 68)

1049 - 68 = 981 ants will be alive

Step 5

For the fourth month 981 * .065 = 63.765 (rounded to 64)

981 - 64 = 916 ants will be alive

Hope this helps!

5 0
3 years ago
Read 2 more answers
Oliver read for450 minutes this month. His goal is to read for 10% more minutes next month. If Oliver meets his goal, how many m
Vedmedyk [2.9K]

Answer:

He will have read 495 minutes

Step-by-step explanation:

10 percent of 450 is 45, add that to 450 and you get 495

4 0
3 years ago
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The graph of y=cos⁡x is transformed to y=a cos ⁡(x−c)+d by a vertical compression by a factor of 1/3 and a translation 2 units d
rodikova [14]

ANSWER

y =  \frac{1}{3}  \cos(x)  - 2

EXPLANATION

If the graph of y=cos⁡x is transformed to y=a cos ⁡(x−c)+d by a vertical compression by a factor of 1/3 and a translation 2 units down,

then

a=1/3

and d=-2.

The 'c' is a phase shift since it is not given, it means it is zero.

Therefore the new equation is:

y=1/3cos⁡(x-0)−2

This simplifies to:

y=1/3cos⁡x−2

The correct option is C.

5 0
3 years ago
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What is the value of f(3) in the function below?
Pani-rosa [81]

Answer:

B.3/2

Step-by-step explanation:

6 0
3 years ago
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Help! I don't understand this
Murljashka [212]

The area of your circle is about 530.93 m

The diameter of your circle is 26 m, just multiply your radius by 2

The circumference of the circle is about 81.68


The equation to finding the area is

pi x r x 2

3.14 times 13 times 2

The equation to finding the diameter

r x 2

radius times 2

The equation for finding circumference

pi x d

3.14 times 26

Let me know if im wrong, otherwise I want brainliest, PLEASE!!

8 0
3 years ago
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