Translate each sentence into an equation.
1 answer:
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The simplified mathematical expressions with the first factor to the nearest tenth are:
7.8 x 10
3.3 x
2.1 x
3.7
<h3>What are the simplified mathematical expressions ?</h3>Scientific notation is used to simplify large numbers in smaller numbers. In order to write a number in scientific notation , the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
(8.6 x ) . (9.1 x
)
= (8.6 x 9.1) x
= 78.26 x
= 7.8 x 10
(6.9 x ) . (4.8 x
)
= 33.12 x
3.3 x
(3.7 x ) . (4.6 x
) ÷ (1.4 x
) . (5.7 x
)
= 1.7 x 10 ÷ 8 x10²
0.21 x
2.1 x
(3.1 x ) . (5.3 x
) ÷ (7.3 x
) . (6.1 x
) = 3.7
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Answer:
see explanation
Step-by-step explanation:
The n th term ( explicit formula ) of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁₂ = - 95 and a₃₇ = - 270 , then
a₁ + 11d = - 95 → (1)
a₁ + 36d = - 270 → (2)
Subtract (1) from (2) term by term to eliminate a₁
25d = - 175 ( divide both sides by 25 )
d = - 7
Substitute d = - 7 into (1) and solve for a₁
a₁ + 11(- 7) = - 95
a₁ - 77 = - 95 ( add 77 to both sides )
a₁ = - 18 , thus
= - 18 - 7(n - 1) = - 18 - 7n + 7 = - 7n - 11
= - 7n - 11 ← explicit formula
--------------------------------------------------------------
The recursive formula allows a term in the sequence to be found by adding the common difference d to the previous term, thus
=
- 7 with a₁ = - 18 ← recursive formula
Answer:
Step-by-step explanation:
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