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Neko [114]
4 years ago
7

A number to the 9th power divided by the same number to the 6th power equals 512. What is the

Mathematics
1 answer:
joja [24]4 years ago
5 0
The answer is 5


explanation:
Let's call our number
a
. The statement written as a formula is
a
12
a
9
=
125
We can simplify the fraction, and we have
a
3
=
125
To solve for
a
, take the third root of both sides:
a
=
(
125
)
1
3
=
5
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6 0
3 years ago
the 43rd term of an arithmetic sequence is -671 and the 52nd term is -806. find the first term and the common difference.
Bond [772]

Answer:

First term = -41.

Common difference = -15.

Step-by-step explanation:

nth term: an = a1 + (n - 1)d  where a = first term and d = the common difference.

-671 = a1 + (43 - 1)d

-806 = a1 +(52 - 1)d

-671  = a1 + 42d

-806 = a1 + 51d

Subtracting ( to eliminate a1):

-671 - (-806) = 42d - 51d

-9d =  135

d = -15

Substitute for d in the first equation:

-671 = a1 + 42*-15

-671 = a1 - 630

a1 = -671 + 630 = -41.

3 0
3 years ago
List one pair of vertical angles.
guajiro [1.7K]

Answer:

1 and 4, 2 and 3, 5 and 8, 6 and 7

Step-by-step explanation:

Any of those would work

6 0
3 years ago
Emily is entering a bicycle race for charity. Her mother pledges $0.60 for every 0.5 mile she bikes. If Emily bikes 8 miles, how
ollegr [7]
$9.60
8miles/0.5miles= 16
$0.60 x 16 = $9.60
5 0
3 years ago
Please help me!! -6+x/4=-5
damaskus [11]

y= 4 hope this helps :)


8 0
3 years ago
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