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3 years ago

Write a rule for the nth term of the geometric sequence if r=1/4 and a =6

Mathematics

1 answer:

Shalnov [3]3 years ago

5 0

Answer:

a(n) = a(1)*(1/4)^(n-1)

Step-by-step explanation:

The first term is a(1) = 6, and the common ratio is r = 1/4.

Then the general formula for this sequence is

a(n) = a(1)*(1/4)^(n-1)

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84. Use properties of exponents to rewrite each expression with only positive, rational exponents. Then find the numerical value

Yakvenalex [24]

Answer:

a) 1/27

b) 16

c) 1/8

Step-by-step explanation:

a) $x^{-3/2}$

One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:

$x^{-3/2}=\frac{1}{x^{3/2} }$

And now, solving for x = 9 we have:

$\frac{1}{x^{3/2}}=\frac{1}{9^{3/2} } =\frac{1}{27}$

b) $y^{4/3}$

This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression

$y^{4/3}=8^{4/3}=16$

c) $z^{-3/4}$

Using the same property we used in a) we have:

$z^{-3/4}=\frac{1}{z^{3/4} }$

And now, solving for z = 16 we have:

$\frac{1}{z^3/4} } =\frac{1}{16^{3/4} } =\frac{1}{8}$

4 0

3 years ago

-5x-6. pls answer ill mark you brainliest

Artyom0805 [142]

Answer:

This is not an equation. So it's not possible to find the value of x..

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2 years ago

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The probability that the parking lot of a mall is full on a holiday is 0.19. The probability that it is a holiday is 0.29. What

Marta_Voda [28]

19 percent, because holiday is given therefore you just take the percentage of the parking lot <span />

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3 years ago

Steps are very much required they should be clear and neat please i need to understand this I'm taking a practice test for my fu

Volgvan

Answer:

2nd option

Step-by-step explanation:

the mean is calculated as

mean = $\frac{sum}{count}$

= $\frac{4x+5+7x-6-8x+2}{3}$

= $\frac{3x+1}{3}$

= $\frac{3x}{3}$ + $\frac{1}{3}$

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2 years ago

The complementary angle of 45

Licemer1 [7]

Answer:

45°

Step-by-step explanation:

Complementary angles sum to 90°, thus

90° - 45° = 45° ← is the complement of 45°

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3 years ago