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3 years ago

PLEASE HELP MEEEEEEEEEEEEEEEEEEE

Mathematics

1 answer:

pickupchik [31]3 years ago

8 0

This sequence be represented as a recursive equation by a1=8 and an=2a1

<u>Step-by-step explanation</u>:

'Recursive' refers to the repetition of a specific process in a sequence.
The given sequence is {8,16,32,64}.
If the value is 2 times the previous value, then an=2a(n-1)

Let a1=8,

then a2 = 2a(2-1)

⇒ a2 = 2a1

⇒ a2 = 2(8)

⇒ a2 = 16

Similarly,

For a2=16,

⇒ a3 = 2(a2)

⇒ a3 = 2(16)

⇒ a3 = 32

For a3=32,

⇒ a4 = 2(a3)

⇒ a4 = 2(32)

⇒ a4 = 64

∴ The equation is recursive as a1=8 and an=2a1 to follow the sequence.

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Write as a single logarithm

Anettt [7]

ANSWER

$c. \ln( \frac{2 {x}^{3} }{3y})$

EXPLANATION

We want to write

$ln(2x) + 2 ln(x) - ln(3y)$

as a single logarithm.

Use the power rule to rewrite the middle term:

$n \: ln(a) = ln( {a}^{n} )$

$ln(2x) + ln( {x}^{2} ) - ln(3y)$

Use the product rule to obtain:

$ln(a) + ln(b) = ln(ab)$

$ln(2x \times {x}^{2} )- ln(3y)$

$ln(2{x}^{3} )- ln(3y)$

Apply the quotient rule:

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3 years ago

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irina1246 [14]

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3 years ago

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4 years ago

The shoe store manager borrowed $17,000.00 from the bank to purchase 1000 pairs of shoes. The bank charges a simple interest rat

-Dominant- [34]

Answer:

2550

Step-by-step explanation:

1) So he borrowed 17,000

2) Simple interest is 5%

3) so 0.05 *17000 = 850

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3 years ago

Write an equation of a line with slope -1 that contains point P(2,-4)

Maurinko [17]

Explanation:

The slope-intercept form of a line is:

y=mx+b

where:

m is the slope of the line

b is the y-intercept

We are given that m=4 and the line passes through (7,2).

∴2=4⋅7+b

2=28+b

b=−26

Therefore the equation of the line is:

y=4x−26

graph{y=4x-26 [-1.254, 11.23, -2.92, 3.323]}

5 0

4 years ago