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Delvig [45]
2 years ago
8

Please help!! Please give step by step so i can understand

Mathematics
1 answer:
miss Akunina [59]2 years ago
6 0

Answer:

p = - 14

Step-by-step explanation:

Using the rules of exponents

a^{m} ÷ a^{n} = a^{(m-n)}

(a^{m}) ^{n} = a^{mn}

Note 81 = 9² and 729 = 9³

Given

(81)^{-4} ÷ (729)^{2-p}

= (9^{2}) ^{-4} ÷ (9^{3}) ^{2-p}

= 9^{-8} ÷ 9^{6-3p}

= 9^{-8-(6-3p)}

= 9^{-8-6+3p}

= 9^{3p-14}

Thus

9^{3p-14} = 9^{4p}

Since bases on both sides are equal then equate the exponents

4p = 3p - 14 ( subtract 3p from both sides )

p = - 14

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If a sequence of 8 consecutive odd integers with increasing values has 9 as its seventh term. What is the sum of the terms of th
klemol [59]

Answer:

Sum = 32

Step-by-step explanation:

Given

Sequence = Consecutive Odds

T_7 = 9

Required

The sum of the terms

A sequence of odd number has a difference of 2. So, the sequence is represented as:

S = \{-3,-1,1,3,5,7,9,11\}

Add up all terms in the sequence

Sum = -3-1+1+3+5+7+9+11

Sum = 32

8 0
3 years ago
Find the inverse function of y=8x.
Zarrin [17]

Answer:

x/8

Step-by-step explanation:

how I see the problem I just put the 1 over the 8 because you can't really do anything else with the problem

4 0
2 years ago
Help plz
bixtya [17]

Answer:

Triangle 1 has the most area

Step-by-step explanation:

Because triangle has more whole blocks and also sides

hope this helps. if it's wrong im sorry :(

7 0
2 years ago
This question is from the tangent ratio section in our chapter and im not sure how to solve for this
VladimirAG [237]
The large triangle is an isosceles since both angles at the base each equal 42°.
In an isosceles triangle the altitude z is at the same time median , then it bisects the opposite side in the middle . So w = 120/2 = 60

Now let's calculate z:
 tan 42° = (opposite side) / (adjacent side) = z/60
tan 42° = 0.9,
0.9 = z/60 and z = 54
6 0
3 years ago
What is the range of the given function?
asambeis [7]

Answer:

{y | y = –7, –1, 0, 9}

Choice B is correct

Step-by-step explanation:

The range of a function y = f(x) refers to the set of y - values for all values of x for which the function is real and defined.

The set of y values from the given table is;

–7, –1, 0, 9

Therefore, the range of the given function is;

{y | y = –7, –1, 0, 9}

8 0
3 years ago
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