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MrMuchimi
1 year ago
11

Write the prime factorization of 27. Use exponents when appropriate and order the factors from least to greatest

Mathematics
1 answer:
MakcuM [25]1 year ago
7 0

Answer:

  27 = 3³

Step-by-step explanation:

The prime factorization of 27 is ...

  27 = 3×3×3 = 3³

The exponent of 3 signifies the factor is repeated 3 times.

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Which statement is true about the songs played during the<br> one-hour interval?
Nataliya [291]

Answer:

its the second choice most of the songs were 3.4 minutes long just took the test

6 0
3 years ago
Factorise the expression 3a2-4ab as far as possible
horsena [70]
In this case, you have to find a common multiple of 3a^2 and 4ab. As only one of the numbers is divisible by two, this means that two cannot go outside of the bracket. The only other aspect that is in both sides of the equation is a, therefore, this goes outside the bracket. The best way to approach this is to divide both sides by a, and this will give you what is inside the bracket. 3a^2 divided by a is 3a, therefore, this is the first aspect in the bracket. -4ab divided by a, leaves -4b. Therefore, these go in the bracket.
3a^2- 4ab simplified is a(3a-4b)
Hope this helps 
7 0
3 years ago
Pls help me answer this
igor_vitrenko [27]

Answer: 30 cm

Step-by-step explanation:

The volume of the composite solid is 17000 cm³. To find h, we must first subtract the volume of the half cylinder from the composite volume.

From the figure, AE = MK, and so the radius of the half cylinder is 10cm. The volume of the half cylinder is thus \frac{1}{2} the volume of a cylinder. The volume of a cylinder is πr²h. So a half cylinder is 1/2 πr²h. This gives us a volume of  \frac{1}{2} (\frac{22}{7})(10 cm)^2(28 cm) = 4400 cm^3.

Thus, the volume of the right prism is 17000cm³ - 4400cm³ = 12600cm³. Consider the cross-section ABKJ. If we multiply this by AE, we'll have the volume of the right prism.

The ABKJ is a trapezoid so it's area is \frac{1}{2}(AJ + BK) \cdot AB. Thus the volume of the right prism is \frac{1}{2}(AJ + BK) \cdot AB \cdot AE. This gives us \frac{1}{2}(28 + 14) \cdot h \cdot 20 = 12600, and thus h = 30 cm.

3 0
2 years ago
Leo deposited $2494.05 in an account that earned 2.5% interest compounded weekly for 13 years. After 13 years, how much had Leo
erastova [34]

Answer: 3432.56

Step-by-step explanation: Everything is on the attached file, enjoy!!! If you have any further questions, just ask me, I'd be glad to help!

Alert: IDK if it is attached, so sorry if it isn't i'll try to explain it.

2490.05 is the initial value how much leo started with.

2.5% + 100% = 1.025

weekly =13weeks

multiply 1.025 by the sqrt of 13 since that's the amount of weeks.

that gets you 3432.56.

4 0
3 years ago
Write a sentence that shows the commutative property of multiplication
NISA [10]
The commutative property of multiplication states that the order of multiplication of numbers does not matter.

Number Sentence:

2 * 3  =  3 * 2  =  6


7 0
3 years ago
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