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juin [17]
3 years ago
10

Evaluate (16/81) to the power 3/4

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
5 0

This reduces nicely if you first notice that 16/81 = (2/3)^4.

Then use the properties of powers (of positive real numbers):

(16/81)^(3/4) = ((2/3)^4)^(3/4) = (2/3)^3 = 8/27

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There are 250 students taking either band or chorus. If there are 180 students taking band and 60 students in both band and chor
Olegator [25]

Answer:

<em>There are </em><em>70</em><em> students only in chorus.</em>

Step-by-step explanation:

Total number of students is 250

Out of 250, 180 students took band.

And 60 took band and chorus, i.e this is the intersection of the 2 groups.

The Venn diagram is attached below.

So, the number of students who took only band = 180-60 = 120

Total number of students or sum of the 3 regions is 250.

So, the number of students who took only chorus = 250-180 = 70

4 0
3 years ago
Based only on the given information, it is guaranteed that Ac = bc
qwelly [4]

Answer:

True

Step-by-step explanation:

True because if AC = BC, then the triangles are the same.

8 0
3 years ago
Identify the value of b. PLEASE HELP!!
Degger [83]

Answer:

  b = 18

Step-by-step explanation:

From an external point, the products of distances to the near circle intercept and the far circle intercept are the same. For a tangent, such as AC, point A is both the near and far intercept point, so that product is the square of the length of AC.

  (AC)² = (CG)(CV)

  b² = 12·27 = 324 . . . . substitute known values

  b = √324 . . . . . . . . . . take the square root

  b = 18

7 0
3 years ago
Question in attachment
sdas [7]

Answer:

a₁ = 6

Step-by-step explanation:

The sum to n terms of a geometric sequence is

S_{n} = \frac{a_{1}(r^{n}-1)  }{r-1}

where a₁ is the first term and r the common ratio

Here S_{8} = 1530 and r = 2, thus

\frac{a_{1}(2^{8}-1)  }{2-1} = 1530 , that is

a₁ (256 - 1) = 1530

255a₁ = 1530 ( divide both sides by 255 )

a₁ = 6

8 0
3 years ago
What is 3 3/4 - 1 1/4
juin [17]

Answer:

2 1/2

Step-by-step explanation:

The answer is 2 1/2 simply because 3/4 minus 1/4 equals 2/4 which is equivalent equivalent to 1/2. The you would subtract 3 by 1 which is 2 so the answer is 2 1/2

6 0
3 years ago
Read 2 more answers
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