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astraxan [27]
3 years ago
6

What is the value of 2 over 3 to the power of 0 to the power of -3

Mathematics
1 answer:
Schach [20]3 years ago
5 0

Answer:

((\frac{2}{3})^0)^{-3}=1

Step-by-step explanation:

We need to find the value of ((\frac{2}{3})^0)^{-3}

Solving:

We know, (a^b)^n = a^{b*n}

((\frac{2}{3})^{0*-3})

(\frac{2}{3})^0

a^0 = 1

so,

(\frac{2}{3})^0=1

So, the value of ((\frac{2}{3})^0)^{-3}=1

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The diameter of a sphere is 6 ft. Find the exact volume of the sphere.
OleMash [197]

Answer:

V ≈ 113.1ft³

Step-by-step explanation:

the answer is V ≈ 113.1ft³.

I hope this helps you.

6 0
3 years ago
Read 2 more answers
In the diagram below segment DEF is shown(since all three letters are shown, they are collinear). If DE=3x+2, EF= x+5, and DF= 2
amm1812

The value of x is 4.

By Geometry, we know that line segment DF = DE + EF, which is equivalent to:

DF = 3\cdot x + 2 + x + 5

DF = 4\cdot x + 7 (1)

Now we solve algebraically the resulting expression.

If we know that DF = 23, then we solve the equation for x:

4\cdot x + 7 = 23

4\cdot x = 16

x = 4

The value of x is 4.

We kindly invite to see this question on line segments: brainly.com/question/23297288

6 0
2 years ago
A 234 inch board is cut into two pieces. One piece is five times the length of the order. Find the length of the shorter piece.
hammer [34]

Answer:

39 inches

Step-by-step explanation:

5x+x=234

6x=234

234/6=39

x=39 inches

7 0
2 years ago
Add the following 2 wholes and 3/8 plus 3 wholes and 3/7
FinnZ [79.3K]

Answer:

325/56

is the answer

6 0
2 years ago
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Triangle ABC had a perimeter 18 cm
Alex

Step-by-step explanation:

what is the main condition the lengths of the sides of a right-angled triangle have to fulfill ?

Pythagoras !

c² = a² + b²

c is the Hypotenuse (the baseline opposite of the 90 degree angle), a and b are the so-called legs (the sides enclosing the 90 degree angle).

only if there is a combination of the sides, for which the Pythagoras equation is true, do we have a right-angled triangle. otherwise not.

we also know CA = 18 - 7 - 3 = 8 cm

so, let's try

8² = 7² + 3²

64 = 49 + 9 = 58 wrong

7² = 8² + 3²

49 = 64 + 9 = 73 wrong

3² = 8² + 7²

9 = 64 + 49 = 113 wrong

so, there is no combination, where the Pythagoras equation is true, so it is NOT a right-angled triangle.

4 0
3 years ago
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