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steposvetlana [31]
3 years ago
11

Given that9^-1/2 = 27^1/4 ÷ 3^x+1Find the exact value of x. ​

Mathematics
1 answer:
nexus9112 [7]3 years ago
5 0

Answer:

Find the exact value using trigonometric identities.

Exact Form: x=34

Decimal Form: x=0.75

Step-by-step explanation:

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10. When a rubber ball is dropped from a height, h cm on to a flat concrete floor, it rebounds to 3 5 h cm a height of Given a r
Xelga [282]

Step-by-step explanation:

Let the height above which the ball is released be H

This problem can be tackled using geometric progression.

The nth term of a Geometric progression is given by the above, where n is the term index, a is the first term and the sum for such a progression up to the Nth term is

To find the total distance travel one has to sum over up to n=3. But there is little subtle point here. For the first bounce ( n=1 ), the ball has only travel H and not 2H. For subsequent bounces ( n=2,3,4,5...... ), the distance travel is 2×(3/4)n×H

a=2H..........r=3/4

However we have to subtract H because up to the first bounce, the ball only travel H instead of 2H

Therefore the total distance travel up to the Nth bounce is

For N=3 one obtains

D=3.625H

7 0
3 years ago
Suppose the area of a circle is 4π. What is its diameter?
mart [117]
Area=pi times radius^2 so

if area=4pi=pi times r^2
4 times pi=r^2 times pi
divide both sdies by pi
4=r^2
square root
2=radius since legnth cannot be negative

radius=1/2 diamters
2 radius=diameter
2(2)=diameter=4
diameter=4
6 0
3 years ago
Read 2 more answers
8. The 1st student flipped a fair coin 7 times
REY [17]
My guess is he gets heads about half the time
4 0
3 years ago
How do you write the algebraic expression: x=-2.5 like i mean the answer
Ganezh [65]

Answer:

2.5 × t = 2.5 t

Step-by-step explanation:

5 0
3 years ago
Sara started her homework at 5:30 p.m, and finished it at 9:15 p.m. How much time did she take to finish her homework?
Pachacha [2.7K]

Answer:

3 hr. 45 min.

Step-by-step explanation:

8 0
3 years ago
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