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3 years ago

What is 37.09 in expanded form

Mathematics

1 answer:

Anit [1.1K]3 years ago

8 0

Thirty-seven point nine hundredths hope this helps :))

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64, –48, 36, –27, ...<br><br> Which formula can be used to describe the sequence?

nordsb [41]

Answer:

$\boxed{a_n \: = \: 64 \: \times \: ( - \frac{3}{4} ) ^{n \: - \: 1} }$

Step-by-step explanation:

We first compute the ratio of this geometric sequence.

$r \: = \: \frac{ - 48}{64} \\ \\ r \: = \: \frac{36}{ - 48} \\ \\ r \: = \: \frac{ - 27}{36}$

We simplify the fractions:

$r \: = \: - \frac{3 }{4} \\ \\ r \: = \: - \frac{3 }{4} \\ \\ r \: = \: - \frac{3 }{4}$

We deduce that it is the common ratio because it is the same between each pair.

$r \: = \: - \frac{3 }{4}$

We use the first term and the common ratio to describe the equation:

$a_1 \: = \: 64; \: r \: = \: - \frac{3 }{4}$

<h3>We apply the data in this formula:</h3>

$\boxed{a_n \: = \: a_1 \: \times \: {r}^{ n \: - \: 1} }$

_______________________

<h3>We apply:</h3>

$\boxed {\bold{a_n \: = \: 64 \: \times \: {( - \frac{3}{4} )}^{ n \: - \: 1} }}$

<u>Data</u>: The unknown "n" is the term you want

<h3><em><u>MissSpanish</u></em></h3>

4 0

2 years ago

Enter the simplified form of the complex fraction in the box. Assume no denominator equals zero.

Olenka [21]

Answer:

$\frac{(9-x)}{3x}$

Step-by-step explanation:

we have

$\frac{\frac{2}{x-3}-\frac{3}{x}}{\frac{3}{x-3}}$

step 1

Solve the numerator of the quotient

$\frac{2}{x-3}-\frac{3}{x}=\frac{2x-3(x-3)}{(x-3)x}=\frac{2x-3x+9}{(x-3)x}=\frac{9-x}{(x-3)x}$

step 2

substitute in the original expression

$\frac{\frac{9-x}{(x-3)x}}{\frac{3}{x-3}}$

$\frac{(x-3)(9-x)}{3x(x-3)}$

step 3

simplify

$\frac{(9-x)}{3x}$

5 0

3 years ago

A^2-b^2+4b-4 please solve it step by step i will mark you brainlest

alex41 [277]

Answer:

b = a + 2 or b = 2 - a

Step-by-step explanation:

Solve for b:

-4 + a^2 + 4 b - b^2 = 0

The left hand side factors into a product with two terms:

(2 + a - b) (-2 + a + b) = 0

Split into two equations:

2 + a - b = 0 or -2 + a + b = 0

Subtract a + 2 from both sides:

-b = -a - 2 or -2 + a + b = 0

Multiply both sides by -1:

b = a + 2 or -2 + a + b = 0

Subtract a - 2 from both sides:

Answer:

b = a + 2 or b = 2 - a

3 0

3 years ago

Reduce 72:81 to its simplist form

rewona [7]

$\frac { 72 }{ 81 } \\ \\ =\frac { 8 }{ 9 } \cdot \frac { 9 }{ 9 } \\ \\ =\frac { 8 }{ 9 } \cdot 1\\ \\ =\frac { 8 }{ 9 }$

8 0

3 years ago

Read 2 more answers

Combine the radicals 5√27- 17√3

dlinn [17]

Answer:

Exact Form:

5√27−17√3

Decimal Form:

0.86642392

3 0

3 years ago